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Primary repository for distributed dispatches software tools
https://dispatches.readthedocs.io/
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Speed up RE Flowsheet for 1 year Horizon #88

Closed dguittet closed 1 year ago

dguittet commented 2 years ago

Currently, the full flowsheet (Wind + Battery + PEM + H2 Tank + Turbine) has not beed solved for a full year of data. Speed up model to make this possible.

Difficulties with this model include:

  1. Different wind generation at each timestep, many times 0 generation leading to 0 flow through downstream unit models
  2. With current data, H2 Tank and turbine are not economic so the solution moves towards 0 sizes for both of these. This is difficult particularly for the turbine model's energy balances due to the 0 flow rates. The tank model has energy balances disabled so it is effectively linear
  3. As H2 prices increase, PEM size becomes non-zero and the problem takes longer to solve than for power H2 prices for which no PEM is optimal. With non-zero PEM size, there are still times with no H2 flow through PEM due to 1)
  4. Some regularization happens (usually lg(rg) > -20)

Things implemented or tried already:

  1. A slack on hydrogen feed to the turbine, purchased_hydrogen_feed_state exists
  2. H2 tank model has disabled energy balances and H2 valve is removed
  3. Used log_infeasible_constraints & log_infeasible_bounds to reduce initial iteration error
  4. Checked bounds on variables
  5. Tried various scaling factors
  6. Scaled the objective
  7. Tried setting a non-zero minimum size for tank and turbine (could revisit this)

Things to try:

dguittet commented 2 years ago

Hi @adowling2, I tried the Degeneracy Hunter but at this step: dh = DegeneracyHunter(m, solver=pyo.SolverFactory('cbc')) I run into this error:

        if not AmplInterface.available():
            raise RuntimeError(
                "Cannot load the PyNumero ASL interface (pynumero_ASL)")
adowling2 commented 2 years ago

@dguittet Are you running this on macOS, Windows, or Linux? If Windows or Linux, you want to install the IDAES extensions which include the "good" Ipopt (with HSL linear algebra). This will also give you the pynumero_ASL library. For macOS users, it is much more complicated. I recommend VirtualBox + Ubuntu.

Also, using "good" Ipopt may dramatically speed up the solution.

adowling2 commented 2 years ago

@xiangao1 Can you share with @dguittet the code we have for initializing an IDAES model from a library of JSONs?

dguittet commented 2 years ago

@adowling2 Great, I was able to install Pynumero from Pyomo and get dh to work! I'm on Mac but I built IPOPT with HSL. However, the timing results I showed last week are from Linux using idaes-ext (HPC not locally).

dguittet commented 2 years ago

So after running IPOPT with max_its = 0, there does show up constraint violations. This is the code here:

    # no infeasible constraints or bounds show up during this block
    solve_log = idaeslog.getInitLogger("infeasibility", idaeslog.INFO, tag="properties")
    log_infeasible_constraints(m, logger=solve_log, tol=1e-4, log_expression=True, log_variables=True)
    log_infeasible_bounds(m, logger=solve_log, tol=1e-4)

    time_to_create_model = default_timer() - start

    opt.options['max_iter'] = 0
    status_obj, solved, iters, time, regu = ipopt_solve_with_stats(m, opt, opt.options['max_iter'], 60*210)

    # Now violations do show up, replicates what dh.check_residuals(tol=0.1) shows below
    log_infeasible_constraints(m, logger=solve_log, tol=1e-4, log_expression=True, log_variables=True)
    log_infeasible_bounds(m, logger=solve_log, tol=1e-4)

    dh = DegeneracyHunter(m, solver=pyo.SolverFactory('cbc'))
    dh.check_residuals(tol=0.1)
    dh.check_variable_bounds(tol=1.0)
Output of residuals from multiperiod model with 2 timesteps ``` All constraints with residuals larger than 0.1 : count = 0 |residual| = 15.87890936884321 sum_mole_frac_out : Size=1, Index=None, Active=True Key : Lower : Body : Upper : Active None : 1000.0 : (blocks[0].process.fs.h2_turbine.stoic_reactor.control_volume.properties_out[0.0].mole_frac_comp[hydrogen] + blocks[0].process.fs.h2_turbine.stoic_reactor.control_volume.properties_out[0.0].mole_frac_comp[nitrogen] + blocks[0].process.fs.h2_turbine.stoic_reactor.control_volume.properties_out[0.0].mole_frac_comp[oxygen] + blocks[0].process.fs.h2_turbine.stoic_reactor.control_volume.properties_out[0.0].mole_frac_comp[water] + blocks[0].process.fs.h2_turbine.stoic_reactor.control_volume.properties_out[0.0].mole_frac_comp[argon])*1000.0 : 1000.0 : True variable lower value upper blocks[0].process.fs.h2_turbine.stoic_reactor.control_volume.properties_out[0.0].mole_frac_comp[hydrogen] 1e-20 0.00999999 1.001 blocks[0].process.fs.h2_turbine.stoic_reactor.control_volume.properties_out[0.0].mole_frac_comp[nitrogen] 1e-20 0.7327898052894735 1.001 blocks[0].process.fs.h2_turbine.stoic_reactor.control_volume.properties_out[0.0].mole_frac_comp[oxygen] 1e-20 0.1527492025523577 1.001 blocks[0].process.fs.h2_turbine.stoic_reactor.control_volume.properties_out[0.0].mole_frac_comp[water] 1e-20 0.11033992152701194 1.001 blocks[0].process.fs.h2_turbine.stoic_reactor.control_volume.properties_out[0.0].mole_frac_comp[argon] 1e-20 0.00999999 1.001 count = 1 |residual| = 15.87890936884321 sum_mole_frac_out : Size=1, Index=None, Active=True Key : Lower : Body : Upper : Active None : 1000.0 : (blocks[1].process.fs.h2_turbine.stoic_reactor.control_volume.properties_out[0.0].mole_frac_comp[hydrogen] + blocks[1].process.fs.h2_turbine.stoic_reactor.control_volume.properties_out[0.0].mole_frac_comp[nitrogen] + blocks[1].process.fs.h2_turbine.stoic_reactor.control_volume.properties_out[0.0].mole_frac_comp[oxygen] + blocks[1].process.fs.h2_turbine.stoic_reactor.control_volume.properties_out[0.0].mole_frac_comp[water] + blocks[1].process.fs.h2_turbine.stoic_reactor.control_volume.properties_out[0.0].mole_frac_comp[argon])*1000.0 : 1000.0 : True variable lower value upper blocks[1].process.fs.h2_turbine.stoic_reactor.control_volume.properties_out[0.0].mole_frac_comp[hydrogen] 1e-20 0.00999999 1.001 blocks[1].process.fs.h2_turbine.stoic_reactor.control_volume.properties_out[0.0].mole_frac_comp[nitrogen] 1e-20 0.7327898052894735 1.001 blocks[1].process.fs.h2_turbine.stoic_reactor.control_volume.properties_out[0.0].mole_frac_comp[oxygen] 1e-20 0.1527492025523577 1.001 blocks[1].process.fs.h2_turbine.stoic_reactor.control_volume.properties_out[0.0].mole_frac_comp[water] 1e-20 0.11033992152701194 1.001 blocks[1].process.fs.h2_turbine.stoic_reactor.control_volume.properties_out[0.0].mole_frac_comp[argon] 1e-20 0.00999999 1.001 count = 2 |residual| = 15.878909368814107 sum_mole_frac_out : Size=1, Index=None, Active=True Key : Lower : Body : Upper : Active None : 1000.0 : (blocks[0].process.fs.h2_turbine.turbine.control_volume.properties_out[0.0].mole_frac_comp[hydrogen] + blocks[0].process.fs.h2_turbine.turbine.control_volume.properties_out[0.0].mole_frac_comp[nitrogen] + blocks[0].process.fs.h2_turbine.turbine.control_volume.properties_out[0.0].mole_frac_comp[oxygen] + blocks[0].process.fs.h2_turbine.turbine.control_volume.properties_out[0.0].mole_frac_comp[water] + blocks[0].process.fs.h2_turbine.turbine.control_volume.properties_out[0.0].mole_frac_comp[argon])*1000.0 : 1000.0 : True variable lower value upper blocks[0].process.fs.h2_turbine.turbine.control_volume.properties_out[0.0].mole_frac_comp[hydrogen] 1e-20 0.00999999 1.001 blocks[0].process.fs.h2_turbine.turbine.control_volume.properties_out[0.0].mole_frac_comp[nitrogen] 1e-20 0.7327898052894521 1.001 blocks[0].process.fs.h2_turbine.turbine.control_volume.properties_out[0.0].mole_frac_comp[oxygen] 1e-20 0.15274920255235325 1.001 blocks[0].process.fs.h2_turbine.turbine.control_volume.properties_out[0.0].mole_frac_comp[water] 1e-20 0.11033992152700874 1.001 blocks[0].process.fs.h2_turbine.turbine.control_volume.properties_out[0.0].mole_frac_comp[argon] 1e-20 0.00999999 1.001 count = 3 |residual| = 15.878909368814107 sum_mole_frac_out : Size=1, Index=None, Active=True Key : Lower : Body : Upper : Active None : 1000.0 : (blocks[0].process.fs.h2_turbine.turbine.properties_isentropic[0.0].mole_frac_comp[hydrogen] + blocks[0].process.fs.h2_turbine.turbine.properties_isentropic[0.0].mole_frac_comp[nitrogen] + blocks[0].process.fs.h2_turbine.turbine.properties_isentropic[0.0].mole_frac_comp[oxygen] + blocks[0].process.fs.h2_turbine.turbine.properties_isentropic[0.0].mole_frac_comp[water] + blocks[0].process.fs.h2_turbine.turbine.properties_isentropic[0.0].mole_frac_comp[argon])*1000.0 : 1000.0 : True variable lower value upper blocks[0].process.fs.h2_turbine.turbine.properties_isentropic[0.0].mole_frac_comp[hydrogen] 1e-20 0.00999999 1.001 blocks[0].process.fs.h2_turbine.turbine.properties_isentropic[0.0].mole_frac_comp[nitrogen] 1e-20 0.7327898052894521 1.001 blocks[0].process.fs.h2_turbine.turbine.properties_isentropic[0.0].mole_frac_comp[oxygen] 1e-20 0.15274920255235325 1.001 blocks[0].process.fs.h2_turbine.turbine.properties_isentropic[0.0].mole_frac_comp[water] 1e-20 0.11033992152700874 1.001 blocks[0].process.fs.h2_turbine.turbine.properties_isentropic[0.0].mole_frac_comp[argon] 1e-20 0.00999999 1.001 count = 4 |residual| = 15.878909368814107 sum_mole_frac_out : Size=1, Index=None, Active=True Key : Lower : Body : Upper : Active None : 1000.0 : (blocks[1].process.fs.h2_turbine.turbine.control_volume.properties_out[0.0].mole_frac_comp[hydrogen] + blocks[1].process.fs.h2_turbine.turbine.control_volume.properties_out[0.0].mole_frac_comp[nitrogen] + blocks[1].process.fs.h2_turbine.turbine.control_volume.properties_out[0.0].mole_frac_comp[oxygen] + blocks[1].process.fs.h2_turbine.turbine.control_volume.properties_out[0.0].mole_frac_comp[water] + blocks[1].process.fs.h2_turbine.turbine.control_volume.properties_out[0.0].mole_frac_comp[argon])*1000.0 : 1000.0 : True variable lower value upper blocks[1].process.fs.h2_turbine.turbine.control_volume.properties_out[0.0].mole_frac_comp[hydrogen] 1e-20 0.00999999 1.001 blocks[1].process.fs.h2_turbine.turbine.control_volume.properties_out[0.0].mole_frac_comp[nitrogen] 1e-20 0.7327898052894521 1.001 blocks[1].process.fs.h2_turbine.turbine.control_volume.properties_out[0.0].mole_frac_comp[oxygen] 1e-20 0.15274920255235325 1.001 blocks[1].process.fs.h2_turbine.turbine.control_volume.properties_out[0.0].mole_frac_comp[water] 1e-20 0.11033992152700874 1.001 blocks[1].process.fs.h2_turbine.turbine.control_volume.properties_out[0.0].mole_frac_comp[argon] 1e-20 0.00999999 1.001 count = 5 |residual| = 15.878909368814107 sum_mole_frac_out : Size=1, Index=None, Active=True Key : Lower : Body : Upper : Active None : 1000.0 : (blocks[1].process.fs.h2_turbine.turbine.properties_isentropic[0.0].mole_frac_comp[hydrogen] + blocks[1].process.fs.h2_turbine.turbine.properties_isentropic[0.0].mole_frac_comp[nitrogen] + blocks[1].process.fs.h2_turbine.turbine.properties_isentropic[0.0].mole_frac_comp[oxygen] + blocks[1].process.fs.h2_turbine.turbine.properties_isentropic[0.0].mole_frac_comp[water] + blocks[1].process.fs.h2_turbine.turbine.properties_isentropic[0.0].mole_frac_comp[argon])*1000.0 : 1000.0 : True variable lower value upper blocks[1].process.fs.h2_turbine.turbine.properties_isentropic[0.0].mole_frac_comp[hydrogen] 1e-20 0.00999999 1.001 blocks[1].process.fs.h2_turbine.turbine.properties_isentropic[0.0].mole_frac_comp[nitrogen] 1e-20 0.7327898052894521 1.001 blocks[1].process.fs.h2_turbine.turbine.properties_isentropic[0.0].mole_frac_comp[oxygen] 1e-20 0.15274920255235325 1.001 blocks[1].process.fs.h2_turbine.turbine.properties_isentropic[0.0].mole_frac_comp[water] 1e-20 0.11033992152700874 1.001 blocks[1].process.fs.h2_turbine.turbine.properties_isentropic[0.0].mole_frac_comp[argon] 1e-20 0.00999999 1.001 count = 6 |residual| = 9.79999 {Member of component_flow_balances} : Size=5, Index=blocks[0].process.fs.h2turbine_props.component_list, Active=True Key : Lower : Body : Upper : Active hydrogen : 0.0 : (blocks[0].process.fs.mixer.air_feed_state[0.0].mole_frac_comp[hydrogen] - blocks[0].process.fs.mixer.air_feed_state[0.0].mole_frac_phase_comp[Vap,hydrogen])*1000.0 : 0.0 : True variable lower value upper blocks[0].process.fs.mixer.air_feed_state[0.0].mole_frac_comp[hydrogen] 1e-20 0.0002 1.001 blocks[0].process.fs.mixer.air_feed_state[0.0].mole_frac_phase_comp[Vap,hydrogen] 1e-20 0.00999999 1.001 count = 7 |residual| = 9.79999 {Member of component_flow_balances} : Size=5, Index=blocks[1].process.fs.h2turbine_props.component_list, Active=True Key : Lower : Body : Upper : Active hydrogen : 0.0 : (blocks[1].process.fs.mixer.air_feed_state[0.0].mole_frac_comp[hydrogen] - blocks[1].process.fs.mixer.air_feed_state[0.0].mole_frac_phase_comp[Vap,hydrogen])*1000.0 : 0.0 : True variable lower value upper blocks[1].process.fs.mixer.air_feed_state[0.0].mole_frac_comp[hydrogen] 1e-20 0.0002 1.001 blocks[1].process.fs.mixer.air_feed_state[0.0].mole_frac_phase_comp[Vap,hydrogen] 1e-20 0.00999999 1.001 count = 8 |residual| = 7.4999899999999995 {Member of component_flow_balances} : Size=5, Index=blocks[0].process.fs.h2turbine_props.component_list, Active=True Key : Lower : Body : Upper : Active nitrogen : 0.0 : (blocks[0].process.fs.translator.properties_out[0.0].mole_frac_comp[nitrogen] - blocks[0].process.fs.translator.properties_out[0.0].mole_frac_phase_comp[Vap,nitrogen])*1000.0 : 0.0 : True variable lower value upper blocks[0].process.fs.translator.properties_out[0.0].mole_frac_comp[nitrogen] 1e-20 0.0025 1.001 blocks[0].process.fs.translator.properties_out[0.0].mole_frac_phase_comp[Vap,nitrogen] 1e-20 0.00999999 1.001 count = 9 |residual| = 7.4999899999999995 {Member of component_flow_balances} : Size=5, Index=blocks[0].process.fs.h2turbine_props.component_list, Active=True Key : Lower : Body : Upper : Active oxygen : 0.0 : (blocks[0].process.fs.translator.properties_out[0.0].mole_frac_comp[oxygen] - blocks[0].process.fs.translator.properties_out[0.0].mole_frac_phase_comp[Vap,oxygen])*1000.0 : 0.0 : True variable lower value upper blocks[0].process.fs.translator.properties_out[0.0].mole_frac_comp[oxygen] 1e-20 0.0025 1.001 blocks[0].process.fs.translator.properties_out[0.0].mole_frac_phase_comp[Vap,oxygen] 1e-20 0.00999999 1.001 count = 10 |residual| = 7.4999899999999995 {Member of component_flow_balances} : Size=5, Index=blocks[0].process.fs.h2turbine_props.component_list, Active=True Key : Lower : Body : Upper : Active water : 0.0 : (blocks[0].process.fs.translator.properties_out[0.0].mole_frac_comp[water] - blocks[0].process.fs.translator.properties_out[0.0].mole_frac_phase_comp[Vap,water])*1000.0 : 0.0 : True variable lower value upper blocks[0].process.fs.translator.properties_out[0.0].mole_frac_comp[water] 1e-20 0.0025 1.001 blocks[0].process.fs.translator.properties_out[0.0].mole_frac_phase_comp[Vap,water] 1e-20 0.00999999 1.001 count = 11 |residual| = 7.4999899999999995 {Member of component_flow_balances} : Size=5, Index=blocks[0].process.fs.h2turbine_props.component_list, Active=True Key : Lower : Body : Upper : Active argon : 0.0 : (blocks[0].process.fs.translator.properties_out[0.0].mole_frac_comp[argon] - blocks[0].process.fs.translator.properties_out[0.0].mole_frac_phase_comp[Vap,argon])*1000.0 : 0.0 : True variable lower value upper blocks[0].process.fs.translator.properties_out[0.0].mole_frac_comp[argon] 1e-20 0.0025 1.001 blocks[0].process.fs.translator.properties_out[0.0].mole_frac_phase_comp[Vap,argon] 1e-20 0.00999999 1.001 count = 12 |residual| = 7.4999899999999995 {Member of component_flow_balances} : Size=5, Index=blocks[0].process.fs.h2turbine_props.component_list, Active=True Key : Lower : Body : Upper : Active nitrogen : 0.0 : (blocks[0].process.fs.mixer.purchased_hydrogen_feed_state[0.0].mole_frac_comp[nitrogen] - blocks[0].process.fs.mixer.purchased_hydrogen_feed_state[0.0].mole_frac_phase_comp[Vap,nitrogen])*1000.0 : 0.0 : True variable lower value upper blocks[0].process.fs.mixer.purchased_hydrogen_feed_state[0.0].mole_frac_comp[nitrogen] 1e-20 0.0025 1.001 blocks[0].process.fs.mixer.purchased_hydrogen_feed_state[0.0].mole_frac_phase_comp[Vap,nitrogen] 1e-20 0.00999999 1.001 count = 13 |residual| = 7.4999899999999995 {Member of component_flow_balances} : Size=5, Index=blocks[0].process.fs.h2turbine_props.component_list, Active=True Key : Lower : Body : Upper : Active oxygen : 0.0 : (blocks[0].process.fs.mixer.purchased_hydrogen_feed_state[0.0].mole_frac_comp[oxygen] - blocks[0].process.fs.mixer.purchased_hydrogen_feed_state[0.0].mole_frac_phase_comp[Vap,oxygen])*1000.0 : 0.0 : True variable lower value upper blocks[0].process.fs.mixer.purchased_hydrogen_feed_state[0.0].mole_frac_comp[oxygen] 1e-20 0.0025 1.001 blocks[0].process.fs.mixer.purchased_hydrogen_feed_state[0.0].mole_frac_phase_comp[Vap,oxygen] 1e-20 0.00999999 1.001 count = 14 |residual| = 7.4999899999999995 {Member of component_flow_balances} : Size=5, Index=blocks[0].process.fs.h2turbine_props.component_list, Active=True Key : Lower : Body : Upper : Active water : 0.0 : (blocks[0].process.fs.mixer.purchased_hydrogen_feed_state[0.0].mole_frac_comp[water] - blocks[0].process.fs.mixer.purchased_hydrogen_feed_state[0.0].mole_frac_phase_comp[Vap,water])*1000.0 : 0.0 : True variable lower value upper blocks[0].process.fs.mixer.purchased_hydrogen_feed_state[0.0].mole_frac_comp[water] 1e-20 0.0025 1.001 blocks[0].process.fs.mixer.purchased_hydrogen_feed_state[0.0].mole_frac_phase_comp[Vap,water] 1e-20 0.00999999 1.001 count = 15 |residual| = 7.4999899999999995 {Member of component_flow_balances} : Size=5, Index=blocks[0].process.fs.h2turbine_props.component_list, Active=True Key : Lower : Body : Upper : Active argon : 0.0 : (blocks[0].process.fs.mixer.purchased_hydrogen_feed_state[0.0].mole_frac_comp[argon] - blocks[0].process.fs.mixer.purchased_hydrogen_feed_state[0.0].mole_frac_phase_comp[Vap,argon])*1000.0 : 0.0 : True variable lower value upper blocks[0].process.fs.mixer.purchased_hydrogen_feed_state[0.0].mole_frac_comp[argon] 1e-20 0.0025 1.001 blocks[0].process.fs.mixer.purchased_hydrogen_feed_state[0.0].mole_frac_phase_comp[Vap,argon] 1e-20 0.00999999 1.001 count = 16 |residual| = 7.4999899999999995 {Member of mole_frac_comp_equality} : Size=5, Index=blocks[0].process.fs.translator._mole_frac_comp_outlet_ref_index, Active=True Key : Lower : Body : Upper : Active (0.0, 'nitrogen') : 0.0 : (blocks[0].process.fs.translator.properties_out[0.0].mole_frac_comp[nitrogen] - blocks[0].process.fs.mixer.hydrogen_feed_state[0.0].mole_frac_comp[nitrogen])*1000.0 : 0.0 : True variable lower value upper blocks[0].process.fs.translator.properties_out[0.0].mole_frac_comp[nitrogen] 1e-20 0.0025 1.001 blocks[0].process.fs.mixer.hydrogen_feed_state[0.0].mole_frac_comp[nitrogen] 1e-20 0.00999999 1.001 count = 17 |residual| = 7.4999899999999995 {Member of mole_frac_comp_equality} : Size=5, Index=blocks[0].process.fs.translator._mole_frac_comp_outlet_ref_index, Active=True Key : Lower : Body : Upper : Active (0.0, 'oxygen') : 0.0 : (blocks[0].process.fs.translator.properties_out[0.0].mole_frac_comp[oxygen] - blocks[0].process.fs.mixer.hydrogen_feed_state[0.0].mole_frac_comp[oxygen])*1000.0 : 0.0 : True variable lower value upper blocks[0].process.fs.translator.properties_out[0.0].mole_frac_comp[oxygen] 1e-20 0.0025 1.001 blocks[0].process.fs.mixer.hydrogen_feed_state[0.0].mole_frac_comp[oxygen] 1e-20 0.00999999 1.001 count = 18 |residual| = 7.4999899999999995 {Member of mole_frac_comp_equality} : Size=5, Index=blocks[0].process.fs.translator._mole_frac_comp_outlet_ref_index, Active=True Key : Lower : Body : Upper : Active (0.0, 'water') : 0.0 : (blocks[0].process.fs.translator.properties_out[0.0].mole_frac_comp[water] - blocks[0].process.fs.mixer.hydrogen_feed_state[0.0].mole_frac_comp[water])*1000.0 : 0.0 : True variable lower value upper blocks[0].process.fs.translator.properties_out[0.0].mole_frac_comp[water] 1e-20 0.0025 1.001 blocks[0].process.fs.mixer.hydrogen_feed_state[0.0].mole_frac_comp[water] 1e-20 0.00999999 1.001 count = 19 |residual| = 7.4999899999999995 {Member of mole_frac_comp_equality} : Size=5, Index=blocks[0].process.fs.translator._mole_frac_comp_outlet_ref_index, Active=True Key : Lower : Body : Upper : Active (0.0, 'argon') : 0.0 : (blocks[0].process.fs.translator.properties_out[0.0].mole_frac_comp[argon] - blocks[0].process.fs.mixer.hydrogen_feed_state[0.0].mole_frac_comp[argon])*1000.0 : 0.0 : True variable lower value upper blocks[0].process.fs.translator.properties_out[0.0].mole_frac_comp[argon] 1e-20 0.0025 1.001 blocks[0].process.fs.mixer.hydrogen_feed_state[0.0].mole_frac_comp[argon] 1e-20 0.00999999 1.001 count = 20 |residual| = 7.4999899999999995 {Member of component_flow_balances} : Size=5, Index=blocks[1].process.fs.h2turbine_props.component_list, Active=True Key : Lower : Body : Upper : Active nitrogen : 0.0 : (blocks[1].process.fs.translator.properties_out[0.0].mole_frac_comp[nitrogen] - blocks[1].process.fs.translator.properties_out[0.0].mole_frac_phase_comp[Vap,nitrogen])*1000.0 : 0.0 : True variable lower value upper blocks[1].process.fs.translator.properties_out[0.0].mole_frac_comp[nitrogen] 1e-20 0.0025 1.001 blocks[1].process.fs.translator.properties_out[0.0].mole_frac_phase_comp[Vap,nitrogen] 1e-20 0.00999999 1.001 count = 21 |residual| = 7.4999899999999995 {Member of component_flow_balances} : Size=5, Index=blocks[1].process.fs.h2turbine_props.component_list, Active=True Key : Lower : Body : Upper : Active oxygen : 0.0 : (blocks[1].process.fs.translator.properties_out[0.0].mole_frac_comp[oxygen] - blocks[1].process.fs.translator.properties_out[0.0].mole_frac_phase_comp[Vap,oxygen])*1000.0 : 0.0 : True variable lower value upper blocks[1].process.fs.translator.properties_out[0.0].mole_frac_comp[oxygen] 1e-20 0.0025 1.001 blocks[1].process.fs.translator.properties_out[0.0].mole_frac_phase_comp[Vap,oxygen] 1e-20 0.00999999 1.001 count = 22 |residual| = 7.4999899999999995 {Member of component_flow_balances} : Size=5, Index=blocks[1].process.fs.h2turbine_props.component_list, Active=True Key : Lower : Body : Upper : Active water : 0.0 : (blocks[1].process.fs.translator.properties_out[0.0].mole_frac_comp[water] - blocks[1].process.fs.translator.properties_out[0.0].mole_frac_phase_comp[Vap,water])*1000.0 : 0.0 : True variable lower value upper blocks[1].process.fs.translator.properties_out[0.0].mole_frac_comp[water] 1e-20 0.0025 1.001 blocks[1].process.fs.translator.properties_out[0.0].mole_frac_phase_comp[Vap,water] 1e-20 0.00999999 1.001 count = 23 |residual| = 7.4999899999999995 {Member of component_flow_balances} : Size=5, Index=blocks[1].process.fs.h2turbine_props.component_list, Active=True Key : Lower : Body : Upper : Active argon : 0.0 : (blocks[1].process.fs.translator.properties_out[0.0].mole_frac_comp[argon] - blocks[1].process.fs.translator.properties_out[0.0].mole_frac_phase_comp[Vap,argon])*1000.0 : 0.0 : True variable lower value upper blocks[1].process.fs.translator.properties_out[0.0].mole_frac_comp[argon] 1e-20 0.0025 1.001 blocks[1].process.fs.translator.properties_out[0.0].mole_frac_phase_comp[Vap,argon] 1e-20 0.00999999 1.001 count = 24 |residual| = 7.4999899999999995 {Member of component_flow_balances} : Size=5, Index=blocks[1].process.fs.h2turbine_props.component_list, Active=True Key : Lower : Body : Upper : Active nitrogen : 0.0 : (blocks[1].process.fs.mixer.purchased_hydrogen_feed_state[0.0].mole_frac_comp[nitrogen] - blocks[1].process.fs.mixer.purchased_hydrogen_feed_state[0.0].mole_frac_phase_comp[Vap,nitrogen])*1000.0 : 0.0 : True variable lower value upper blocks[1].process.fs.mixer.purchased_hydrogen_feed_state[0.0].mole_frac_comp[nitrogen] 1e-20 0.0025 1.001 blocks[1].process.fs.mixer.purchased_hydrogen_feed_state[0.0].mole_frac_phase_comp[Vap,nitrogen] 1e-20 0.00999999 1.001 count = 25 |residual| = 7.4999899999999995 {Member of component_flow_balances} : Size=5, Index=blocks[1].process.fs.h2turbine_props.component_list, Active=True Key : Lower : Body : Upper : Active oxygen : 0.0 : (blocks[1].process.fs.mixer.purchased_hydrogen_feed_state[0.0].mole_frac_comp[oxygen] - blocks[1].process.fs.mixer.purchased_hydrogen_feed_state[0.0].mole_frac_phase_comp[Vap,oxygen])*1000.0 : 0.0 : True variable lower value upper blocks[1].process.fs.mixer.purchased_hydrogen_feed_state[0.0].mole_frac_comp[oxygen] 1e-20 0.0025 1.001 blocks[1].process.fs.mixer.purchased_hydrogen_feed_state[0.0].mole_frac_phase_comp[Vap,oxygen] 1e-20 0.00999999 1.001 count = 26 |residual| = 7.4999899999999995 {Member of component_flow_balances} : Size=5, Index=blocks[1].process.fs.h2turbine_props.component_list, Active=True Key : Lower : Body : Upper : Active water : 0.0 : (blocks[1].process.fs.mixer.purchased_hydrogen_feed_state[0.0].mole_frac_comp[water] - blocks[1].process.fs.mixer.purchased_hydrogen_feed_state[0.0].mole_frac_phase_comp[Vap,water])*1000.0 : 0.0 : True variable lower value upper blocks[1].process.fs.mixer.purchased_hydrogen_feed_state[0.0].mole_frac_comp[water] 1e-20 0.0025 1.001 blocks[1].process.fs.mixer.purchased_hydrogen_feed_state[0.0].mole_frac_phase_comp[Vap,water] 1e-20 0.00999999 1.001 count = 27 |residual| = 7.4999899999999995 {Member of component_flow_balances} : Size=5, Index=blocks[1].process.fs.h2turbine_props.component_list, Active=True Key : Lower : Body : Upper : Active argon : 0.0 : (blocks[1].process.fs.mixer.purchased_hydrogen_feed_state[0.0].mole_frac_comp[argon] - blocks[1].process.fs.mixer.purchased_hydrogen_feed_state[0.0].mole_frac_phase_comp[Vap,argon])*1000.0 : 0.0 : True variable lower value upper blocks[1].process.fs.mixer.purchased_hydrogen_feed_state[0.0].mole_frac_comp[argon] 1e-20 0.0025 1.001 blocks[1].process.fs.mixer.purchased_hydrogen_feed_state[0.0].mole_frac_phase_comp[Vap,argon] 1e-20 0.00999999 1.001 count = 28 |residual| = 7.4999899999999995 {Member of mole_frac_comp_equality} : Size=5, Index=blocks[1].process.fs.translator._mole_frac_comp_outlet_ref_index, Active=True Key : Lower : Body : Upper : Active (0.0, 'nitrogen') : 0.0 : (blocks[1].process.fs.translator.properties_out[0.0].mole_frac_comp[nitrogen] - blocks[1].process.fs.mixer.hydrogen_feed_state[0.0].mole_frac_comp[nitrogen])*1000.0 : 0.0 : True variable lower value upper blocks[1].process.fs.translator.properties_out[0.0].mole_frac_comp[nitrogen] 1e-20 0.0025 1.001 blocks[1].process.fs.mixer.hydrogen_feed_state[0.0].mole_frac_comp[nitrogen] 1e-20 0.00999999 1.001 count = 29 |residual| = 7.4999899999999995 {Member of mole_frac_comp_equality} : Size=5, Index=blocks[1].process.fs.translator._mole_frac_comp_outlet_ref_index, Active=True Key : Lower : Body : Upper : Active (0.0, 'oxygen') : 0.0 : (blocks[1].process.fs.translator.properties_out[0.0].mole_frac_comp[oxygen] - blocks[1].process.fs.mixer.hydrogen_feed_state[0.0].mole_frac_comp[oxygen])*1000.0 : 0.0 : True variable lower value upper blocks[1].process.fs.translator.properties_out[0.0].mole_frac_comp[oxygen] 1e-20 0.0025 1.001 blocks[1].process.fs.mixer.hydrogen_feed_state[0.0].mole_frac_comp[oxygen] 1e-20 0.00999999 1.001 count = 30 |residual| = 7.4999899999999995 {Member of mole_frac_comp_equality} : Size=5, Index=blocks[1].process.fs.translator._mole_frac_comp_outlet_ref_index, Active=True Key : Lower : Body : Upper : Active (0.0, 'water') : 0.0 : (blocks[1].process.fs.translator.properties_out[0.0].mole_frac_comp[water] - blocks[1].process.fs.mixer.hydrogen_feed_state[0.0].mole_frac_comp[water])*1000.0 : 0.0 : True variable lower value upper blocks[1].process.fs.translator.properties_out[0.0].mole_frac_comp[water] 1e-20 0.0025 1.001 blocks[1].process.fs.mixer.hydrogen_feed_state[0.0].mole_frac_comp[water] 1e-20 0.00999999 1.001 count = 31 |residual| = 7.4999899999999995 {Member of mole_frac_comp_equality} : Size=5, Index=blocks[1].process.fs.translator._mole_frac_comp_outlet_ref_index, Active=True Key : Lower : Body : Upper : Active (0.0, 'argon') : 0.0 : (blocks[1].process.fs.translator.properties_out[0.0].mole_frac_comp[argon] - blocks[1].process.fs.mixer.hydrogen_feed_state[0.0].mole_frac_comp[argon])*1000.0 : 0.0 : True variable lower value upper blocks[1].process.fs.translator.properties_out[0.0].mole_frac_comp[argon] 1e-20 0.0025 1.001 blocks[1].process.fs.mixer.hydrogen_feed_state[0.0].mole_frac_comp[argon] 1e-20 0.00999999 1.001 count = 32 |residual| = 6.859513809523719 sum_mole_frac_out : Size=1, Index=None, Active=True Key : Lower : Body : Upper : Active None : 1000.0 : (blocks[0].process.fs.mixer.mixed_state[0.0].mole_frac_comp[hydrogen] + blocks[0].process.fs.mixer.mixed_state[0.0].mole_frac_comp[nitrogen] + blocks[0].process.fs.mixer.mixed_state[0.0].mole_frac_comp[oxygen] + blocks[0].process.fs.mixer.mixed_state[0.0].mole_frac_comp[water] + blocks[0].process.fs.mixer.mixed_state[0.0].mole_frac_comp[argon])*1000.0 : 1000.0 : True variable lower value upper blocks[0].process.fs.mixer.mixed_state[0.0].mole_frac_comp[hydrogen] 1e-20 0.08436666666666666 1.001 blocks[0].process.fs.mixer.mixed_state[0.0].mole_frac_comp[nitrogen] 1e-20 0.7021744897959183 1.001 blocks[0].process.fs.mixer.mixed_state[0.0].mole_frac_comp[oxygen] 1e-20 0.18814659863945582 1.001 blocks[0].process.fs.mixer.mixed_state[0.0].mole_frac_comp[water] 1e-20 0.022171768707482994 1.001 blocks[0].process.fs.mixer.mixed_state[0.0].mole_frac_comp[argon] 1e-20 0.00999999 1.001 count = 33 |residual| = 6.859513809523719 sum_mole_frac_out : Size=1, Index=None, Active=True Key : Lower : Body : Upper : Active None : 1000.0 : (blocks[1].process.fs.mixer.mixed_state[0.0].mole_frac_comp[hydrogen] + blocks[1].process.fs.mixer.mixed_state[0.0].mole_frac_comp[nitrogen] + blocks[1].process.fs.mixer.mixed_state[0.0].mole_frac_comp[oxygen] + blocks[1].process.fs.mixer.mixed_state[0.0].mole_frac_comp[water] + blocks[1].process.fs.mixer.mixed_state[0.0].mole_frac_comp[argon])*1000.0 : 1000.0 : True variable lower value upper blocks[1].process.fs.mixer.mixed_state[0.0].mole_frac_comp[hydrogen] 1e-20 0.08436666666666666 1.001 blocks[1].process.fs.mixer.mixed_state[0.0].mole_frac_comp[nitrogen] 1e-20 0.7021744897959183 1.001 blocks[1].process.fs.mixer.mixed_state[0.0].mole_frac_comp[oxygen] 1e-20 0.18814659863945582 1.001 blocks[1].process.fs.mixer.mixed_state[0.0].mole_frac_comp[water] 1e-20 0.022171768707482994 1.001 blocks[1].process.fs.mixer.mixed_state[0.0].mole_frac_comp[argon] 1e-20 0.00999999 1.001 count = 34 |residual| = 6.8595138095234915 sum_mole_frac_out : Size=1, Index=None, Active=True Key : Lower : Body : Upper : Active None : 1000.0 : (blocks[0].process.fs.h2_turbine.compressor.control_volume.properties_out[0.0].mole_frac_comp[hydrogen] + blocks[0].process.fs.h2_turbine.compressor.control_volume.properties_out[0.0].mole_frac_comp[nitrogen] + blocks[0].process.fs.h2_turbine.compressor.control_volume.properties_out[0.0].mole_frac_comp[oxygen] + blocks[0].process.fs.h2_turbine.compressor.control_volume.properties_out[0.0].mole_frac_comp[water] + blocks[0].process.fs.h2_turbine.compressor.control_volume.properties_out[0.0].mole_frac_comp[argon])*1000.0 : 1000.0 : True variable lower value upper blocks[0].process.fs.h2_turbine.compressor.control_volume.properties_out[0.0].mole_frac_comp[hydrogen] 1e-20 0.08436666666666665 1.001 blocks[0].process.fs.h2_turbine.compressor.control_volume.properties_out[0.0].mole_frac_comp[nitrogen] 1e-20 0.7021744897959182 1.001 blocks[0].process.fs.h2_turbine.compressor.control_volume.properties_out[0.0].mole_frac_comp[oxygen] 1e-20 0.1881465986394558 1.001 blocks[0].process.fs.h2_turbine.compressor.control_volume.properties_out[0.0].mole_frac_comp[water] 1e-20 0.02217176870748299 1.001 blocks[0].process.fs.h2_turbine.compressor.control_volume.properties_out[0.0].mole_frac_comp[argon] 1e-20 0.00999999 1.001 count = 35 |residual| = 6.8595138095234915 sum_mole_frac_out : Size=1, Index=None, Active=True Key : Lower : Body : Upper : Active None : 1000.0 : (blocks[0].process.fs.h2_turbine.compressor.properties_isentropic[0.0].mole_frac_comp[hydrogen] + blocks[0].process.fs.h2_turbine.compressor.properties_isentropic[0.0].mole_frac_comp[nitrogen] + blocks[0].process.fs.h2_turbine.compressor.properties_isentropic[0.0].mole_frac_comp[oxygen] + blocks[0].process.fs.h2_turbine.compressor.properties_isentropic[0.0].mole_frac_comp[water] + blocks[0].process.fs.h2_turbine.compressor.properties_isentropic[0.0].mole_frac_comp[argon])*1000.0 : 1000.0 : True variable lower value upper blocks[0].process.fs.h2_turbine.compressor.properties_isentropic[0.0].mole_frac_comp[hydrogen] 1e-20 0.08436666666666665 1.001 blocks[0].process.fs.h2_turbine.compressor.properties_isentropic[0.0].mole_frac_comp[nitrogen] 1e-20 0.7021744897959182 1.001 blocks[0].process.fs.h2_turbine.compressor.properties_isentropic[0.0].mole_frac_comp[oxygen] 1e-20 0.1881465986394558 1.001 blocks[0].process.fs.h2_turbine.compressor.properties_isentropic[0.0].mole_frac_comp[water] 1e-20 0.02217176870748299 1.001 blocks[0].process.fs.h2_turbine.compressor.properties_isentropic[0.0].mole_frac_comp[argon] 1e-20 0.00999999 1.001 count = 36 |residual| = 6.8595138095234915 sum_mole_frac_out : Size=1, Index=None, Active=True Key : Lower : Body : Upper : Active None : 1000.0 : (blocks[1].process.fs.h2_turbine.compressor.control_volume.properties_out[0.0].mole_frac_comp[hydrogen] + blocks[1].process.fs.h2_turbine.compressor.control_volume.properties_out[0.0].mole_frac_comp[nitrogen] + blocks[1].process.fs.h2_turbine.compressor.control_volume.properties_out[0.0].mole_frac_comp[oxygen] + blocks[1].process.fs.h2_turbine.compressor.control_volume.properties_out[0.0].mole_frac_comp[water] + blocks[1].process.fs.h2_turbine.compressor.control_volume.properties_out[0.0].mole_frac_comp[argon])*1000.0 : 1000.0 : True variable lower value upper blocks[1].process.fs.h2_turbine.compressor.control_volume.properties_out[0.0].mole_frac_comp[hydrogen] 1e-20 0.08436666666666665 1.001 blocks[1].process.fs.h2_turbine.compressor.control_volume.properties_out[0.0].mole_frac_comp[nitrogen] 1e-20 0.7021744897959182 1.001 blocks[1].process.fs.h2_turbine.compressor.control_volume.properties_out[0.0].mole_frac_comp[oxygen] 1e-20 0.1881465986394558 1.001 blocks[1].process.fs.h2_turbine.compressor.control_volume.properties_out[0.0].mole_frac_comp[water] 1e-20 0.02217176870748299 1.001 blocks[1].process.fs.h2_turbine.compressor.control_volume.properties_out[0.0].mole_frac_comp[argon] 1e-20 0.00999999 1.001 count = 37 |residual| = 6.8595138095234915 sum_mole_frac_out : Size=1, Index=None, Active=True Key : Lower : Body : Upper : Active None : 1000.0 : (blocks[1].process.fs.h2_turbine.compressor.properties_isentropic[0.0].mole_frac_comp[hydrogen] + blocks[1].process.fs.h2_turbine.compressor.properties_isentropic[0.0].mole_frac_comp[nitrogen] + blocks[1].process.fs.h2_turbine.compressor.properties_isentropic[0.0].mole_frac_comp[oxygen] + blocks[1].process.fs.h2_turbine.compressor.properties_isentropic[0.0].mole_frac_comp[water] + blocks[1].process.fs.h2_turbine.compressor.properties_isentropic[0.0].mole_frac_comp[argon])*1000.0 : 1000.0 : True variable lower value upper blocks[1].process.fs.h2_turbine.compressor.properties_isentropic[0.0].mole_frac_comp[hydrogen] 1e-20 0.08436666666666665 1.001 blocks[1].process.fs.h2_turbine.compressor.properties_isentropic[0.0].mole_frac_comp[nitrogen] 1e-20 0.7021744897959182 1.001 blocks[1].process.fs.h2_turbine.compressor.properties_isentropic[0.0].mole_frac_comp[oxygen] 1e-20 0.1881465986394558 1.001 blocks[1].process.fs.h2_turbine.compressor.properties_isentropic[0.0].mole_frac_comp[water] 1e-20 0.02217176870748299 1.001 blocks[1].process.fs.h2_turbine.compressor.properties_isentropic[0.0].mole_frac_comp[argon] 1e-20 0.00999999 1.001 count = 38 |residual| = 6.79999 {Member of component_flow_balances} : Size=5, Index=blocks[0].process.fs.h2turbine_props.component_list, Active=True Key : Lower : Body : Upper : Active argon : 0.0 : (blocks[0].process.fs.mixer.air_feed_state[0.0].mole_frac_comp[argon] - blocks[0].process.fs.mixer.air_feed_state[0.0].mole_frac_phase_comp[Vap,argon])*1000.0 : 0.0 : True variable lower value upper blocks[0].process.fs.mixer.air_feed_state[0.0].mole_frac_comp[argon] 1e-20 0.0032 1.001 blocks[0].process.fs.mixer.air_feed_state[0.0].mole_frac_phase_comp[Vap,argon] 1e-20 0.00999999 1.001 count = 39 |residual| = 6.79999 {Member of component_flow_balances} : Size=5, Index=blocks[1].process.fs.h2turbine_props.component_list, Active=True Key : Lower : Body : Upper : Active argon : 0.0 : (blocks[1].process.fs.mixer.air_feed_state[0.0].mole_frac_comp[argon] - blocks[1].process.fs.mixer.air_feed_state[0.0].mole_frac_phase_comp[Vap,argon])*1000.0 : 0.0 : True variable lower value upper blocks[1].process.fs.mixer.air_feed_state[0.0].mole_frac_comp[argon] 1e-20 0.0032 1.001 blocks[1].process.fs.mixer.air_feed_state[0.0].mole_frac_phase_comp[Vap,argon] 1e-20 0.00999999 1.001 count = 40 |residual| = 3.80007333242429 {Member of isentropic_energy_balance} : Calculate work of isentropic process Size=1, Index=blocks[0].process.fs._time, Active=True Key : Lower : Body : Upper : Active 0.0 : 0.0 : blocks[0].process.fs.h2_turbine.turbine.work_isentropic[0.0] - ((blocks[0].process.fs.h2_turbine.turbine.properties_isentropic[0.0].flow_mol_phase[Vap]*(blocks[0].process.fs.h2_turbine.turbine.properties_isentropic[0.0].mole_frac_phase_comp[Vap,hydrogen]*(1000.0*(K*kg*m**2/J/kK/s**2)*(blocks[0].process.fs.h2turbine_props.hydrogen.cp_mol_ig_comp_coeff_A*(0.001*(kK/K)*blocks[0].process.fs.h2_turbine.turbine.properties_isentropic[0.0].temperature) + 0.5*blocks[0].process.fs.h2turbine_props.hydrogen.cp_mol_ig_comp_coeff_B*(0.001*(kK/K)*blocks[0].process.fs.h2_turbine.turbine.properties_isentropic[0.0].temperature)**2 + 0.3333333333333333*blocks[0].process.fs.h2turbine_props.hydrogen.cp_mol_ig_comp_coeff_C*(0.001*(kK/K)*blocks[0].process.fs.h2_turbine.turbine.properties_isentropic[0.0].temperature)**3 + 0.25*blocks[0].process.fs.h2turbine_props.hydrogen.cp_mol_ig_comp_coeff_D*(0.001*(kK/K)*blocks[0].process.fs.h2_turbine.turbine.properties_isentropic[0.0].temperature)**4 - blocks[0].process.fs.h2turbine_props.hydrogen.cp_mol_ig_comp_coeff_E/(0.001*(kK/K)*blocks[0].process.fs.h2_turbine.turbine.properties_isentropic[0.0].temperature) + blocks[0].process.fs.h2turbine_props.hydrogen.cp_mol_ig_comp_coeff_F)) + blocks[0].process.fs.h2_turbine.turbine.properties_isentropic[0.0].mole_frac_phase_comp[Vap,nitrogen]*(1000.0*(K*kg*m**2/J/kK/s**2)*(blocks[0].process.fs.h2turbine_props.nitrogen.cp_mol_ig_comp_coeff_A*(0.001*(kK/K)*blocks[0].process.fs.h2_turbine.turbine.properties_isentropic[0.0].temperature) + 0.5*blocks[0].process.fs.h2turbine_props.nitrogen.cp_mol_ig_comp_coeff_B*(0.001*(kK/K)*blocks[0].process.fs.h2_turbine.turbine.properties_isentropic[0.0].temperature)**2 + 0.3333333333333333*blocks[0].process.fs.h2turbine_props.nitrogen.cp_mol_ig_comp_coeff_C*(0.001*(kK/K)*blocks[0].process.fs.h2_turbine.turbine.properties_isentropic[0.0].temperature)**3 + 0.25*blocks[0].process.fs.h2turbine_props.nitrogen.cp_mol_ig_comp_coeff_D*(0.001*(kK/K)*blocks[0].process.fs.h2_turbine.turbine.properties_isentropic[0.0].temperature)**4 - blocks[0].process.fs.h2turbine_props.nitrogen.cp_mol_ig_comp_coeff_E/(0.001*(kK/K)*blocks[0].process.fs.h2_turbine.turbine.properties_isentropic[0.0].temperature) + blocks[0].process.fs.h2turbine_props.nitrogen.cp_mol_ig_comp_coeff_F)) + blocks[0].process.fs.h2_turbine.turbine.properties_isentropic[0.0].mole_frac_phase_comp[Vap,oxygen]*(1000.0*(K*kg*m**2/J/kK/s**2)*(blocks[0].process.fs.h2turbine_props.oxygen.cp_mol_ig_comp_coeff_A*(0.001*(kK/K)*blocks[0].process.fs.h2_turbine.turbine.properties_isentropic[0.0].temperature) + 0.5*blocks[0].process.fs.h2turbine_props.oxygen.cp_mol_ig_comp_coeff_B*(0.001*(kK/K)*blocks[0].process.fs.h2_turbine.turbine.properties_isentropic[0.0].temperature)**2 + 0.3333333333333333*blocks[0].process.fs.h2turbine_props.oxygen.cp_mol_ig_comp_coeff_C*(0.001*(kK/K)*blocks[0].process.fs.h2_turbine.turbine.properties_isentropic[0.0].temperature)**3 + 0.25*blocks[0].process.fs.h2turbine_props.oxygen.cp_mol_ig_comp_coeff_D*(0.001*(kK/K)*blocks[0].process.fs.h2_turbine.turbine.properties_isentropic[0.0].temperature)**4 - blocks[0].process.fs.h2turbine_props.oxygen.cp_mol_ig_comp_coeff_E/(0.001*(kK/K)*blocks[0].process.fs.h2_turbine.turbine.properties_isentropic[0.0].temperature) + blocks[0].process.fs.h2turbine_props.oxygen.cp_mol_ig_comp_coeff_F)) + blocks[0].process.fs.h2_turbine.turbine.properties_isentropic[0.0].mole_frac_phase_comp[Vap,water]*(1000.0*(K*kg*m**2/J/kK/s**2)*(blocks[0].process.fs.h2turbine_props.water.cp_mol_ig_comp_coeff_A*(0.001*(kK/K)*blocks[0].process.fs.h2_turbine.turbine.properties_isentropic[0.0].temperature) + 0.5*blocks[0].process.fs.h2turbine_props.water.cp_mol_ig_comp_coeff_B*(0.001*(kK/K)*blocks[0].process.fs.h2_turbine.turbine.properties_isentropic[0.0].temperature)**2 + 0.3333333333333333*blocks[0].process.fs.h2turbine_props.water.cp_mol_ig_comp_coeff_C*(0.001*(kK/K)*blocks[0].process.fs.h2_turbine.turbine.properties_isentropic[0.0].temperature)**3 + 0.25*blocks[0].process.fs.h2turbine_props.water.cp_mol_ig_comp_coeff_D*(0.001*(kK/K)*blocks[0].process.fs.h2_turbine.turbine.properties_isentropic[0.0].temperature)**4 - blocks[0].process.fs.h2turbine_props.water.cp_mol_ig_comp_coeff_E/(0.001*(kK/K)*blocks[0].process.fs.h2_turbine.turbine.properties_isentropic[0.0].temperature) + blocks[0].process.fs.h2turbine_props.water.cp_mol_ig_comp_coeff_F)) + blocks[0].process.fs.h2_turbine.turbine.properties_isentropic[0.0].mole_frac_phase_comp[Vap,argon]*(1000.0*(K*kg*m**2/J/kK/s**2)*(blocks[0].process.fs.h2turbine_props.argon.cp_mol_ig_comp_coeff_A*(0.001*(kK/K)*blocks[0].process.fs.h2_turbine.turbine.properties_isentropic[0.0].temperature) + 0.5*blocks[0].process.fs.h2turbine_props.argon.cp_mol_ig_comp_coeff_B*(0.001*(kK/K)*blocks[0].process.fs.h2_turbine.turbine.properties_isentropic[0.0].temperature)**2 + 0.3333333333333333*blocks[0].process.fs.h2turbine_props.argon.cp_mol_ig_comp_coeff_C*(0.001*(kK/K)*blocks[0].process.fs.h2_turbine.turbine.properties_isentropic[0.0].temperature)**3 + 0.25*blocks[0].process.fs.h2turbine_props.argon.cp_mol_ig_comp_coeff_D*(0.001*(kK/K)*blocks[0].process.fs.h2_turbine.turbine.properties_isentropic[0.0].temperature)**4 - blocks[0].process.fs.h2turbine_props.argon.cp_mol_ig_comp_coeff_E/(0.001*(kK/K)*blocks[0].process.fs.h2_turbine.turbine.properties_isentropic[0.0].temperature) + blocks[0].process.fs.h2turbine_props.argon.cp_mol_ig_comp_coeff_F)))) - (blocks[0].process.fs.h2_turbine.turbine.control_volume.properties_in[0.0].flow_mol_phase[Vap]*(blocks[0].process.fs.h2_turbine.turbine.control_volume.properties_in[0.0].mole_frac_phase_comp[Vap,hydrogen]*(1000.0*(K*kg*m**2/J/kK/s**2)*(blocks[0].process.fs.h2turbine_props.hydrogen.cp_mol_ig_comp_coeff_A*(0.001*(kK/K)*blocks[0].process.fs.h2_turbine.turbine.control_volume.properties_in[0.0].temperature) + 0.5*blocks[0].process.fs.h2turbine_props.hydrogen.cp_mol_ig_comp_coeff_B*(0.001*(kK/K)*blocks[0].process.fs.h2_turbine.turbine.control_volume.properties_in[0.0].temperature)**2 + 0.3333333333333333*blocks[0].process.fs.h2turbine_props.hydrogen.cp_mol_ig_comp_coeff_C*(0.001*(kK/K)*blocks[0].process.fs.h2_turbine.turbine.control_volume.properties_in[0.0].temperature)**3 + 0.25*blocks[0].process.fs.h2turbine_props.hydrogen.cp_mol_ig_comp_coeff_D*(0.001*(kK/K)*blocks[0].process.fs.h2_turbine.turbine.control_volume.properties_in[0.0].temperature)**4 - blocks[0].process.fs.h2turbine_props.hydrogen.cp_mol_ig_comp_coeff_E/(0.001*(kK/K)*blocks[0].process.fs.h2_turbine.turbine.control_volume.properties_in[0.0].temperature) + blocks[0].process.fs.h2turbine_props.hydrogen.cp_mol_ig_comp_coeff_F)) + blocks[0].process.fs.h2_turbine.turbine.control_volume.properties_in[0.0].mole_frac_phase_comp[Vap,nitrogen]*(1000.0*(K*kg*m**2/J/kK/s**2)*(blocks[0].process.fs.h2turbine_props.nitrogen.cp_mol_ig_comp_coeff_A*(0.001*(kK/K)*blocks[0].process.fs.h2_turbine.turbine.control_volume.properties_in[0.0].temperature) + 0.5*blocks[0].process.fs.h2turbine_props.nitrogen.cp_mol_ig_comp_coeff_B*(0.001*(kK/K)*blocks[0].process.fs.h2_turbine.turbine.control_volume.properties_in[0.0].temperature)**2 + 0.3333333333333333*blocks[0].process.fs.h2turbine_props.nitrogen.cp_mol_ig_comp_coeff_C*(0.001*(kK/K)*blocks[0].process.fs.h2_turbine.turbine.control_volume.properties_in[0.0].temperature)**3 + 0.25*blocks[0].process.fs.h2turbine_props.nitrogen.cp_mol_ig_comp_coeff_D*(0.001*(kK/K)*blocks[0].process.fs.h2_turbine.turbine.control_volume.properties_in[0.0].temperature)**4 - blocks[0].process.fs.h2turbine_props.nitrogen.cp_mol_ig_comp_coeff_E/(0.001*(kK/K)*blocks[0].process.fs.h2_turbine.turbine.control_volume.properties_in[0.0].temperature) + blocks[0].process.fs.h2turbine_props.nitrogen.cp_mol_ig_comp_coeff_F)) + blocks[0].process.fs.h2_turbine.turbine.control_volume.properties_in[0.0].mole_frac_phase_comp[Vap,oxygen]*(1000.0*(K*kg*m**2/J/kK/s**2)*(blocks[0].process.fs.h2turbine_props.oxygen.cp_mol_ig_comp_coeff_A*(0.001*(kK/K)*blocks[0].process.fs.h2_turbine.turbine.control_volume.properties_in[0.0].temperature) + 0.5*blocks[0].process.fs.h2turbine_props.oxygen.cp_mol_ig_comp_coeff_B*(0.001*(kK/K)*blocks[0].process.fs.h2_turbine.turbine.control_volume.properties_in[0.0].temperature)**2 + 0.3333333333333333*blocks[0].process.fs.h2turbine_props.oxygen.cp_mol_ig_comp_coeff_C*(0.001*(kK/K)*blocks[0].process.fs.h2_turbine.turbine.control_volume.properties_in[0.0].temperature)**3 + 0.25*blocks[0].process.fs.h2turbine_props.oxygen.cp_mol_ig_comp_coeff_D*(0.001*(kK/K)*blocks[0].process.fs.h2_turbine.turbine.control_volume.properties_in[0.0].temperature)**4 - blocks[0].process.fs.h2turbine_props.oxygen.cp_mol_ig_comp_coeff_E/(0.001*(kK/K)*blocks[0].process.fs.h2_turbine.turbine.control_volume.properties_in[0.0].temperature) + blocks[0].process.fs.h2turbine_props.oxygen.cp_mol_ig_comp_coeff_F)) + blocks[0].process.fs.h2_turbine.turbine.control_volume.properties_in[0.0].mole_frac_phase_comp[Vap,water]*(1000.0*(K*kg*m**2/J/kK/s**2)*(blocks[0].process.fs.h2turbine_props.water.cp_mol_ig_comp_coeff_A*(0.001*(kK/K)*blocks[0].process.fs.h2_turbine.turbine.control_volume.properties_in[0.0].temperature) + 0.5*blocks[0].process.fs.h2turbine_props.water.cp_mol_ig_comp_coeff_B*(0.001*(kK/K)*blocks[0].process.fs.h2_turbine.turbine.control_volume.properties_in[0.0].temperature)**2 + 0.3333333333333333*blocks[0].process.fs.h2turbine_props.water.cp_mol_ig_comp_coeff_C*(0.001*(kK/K)*blocks[0].process.fs.h2_turbine.turbine.control_volume.properties_in[0.0].temperature)**3 + 0.25*blocks[0].process.fs.h2turbine_props.water.cp_mol_ig_comp_coeff_D*(0.001*(kK/K)*blocks[0].process.fs.h2_turbine.turbine.control_volume.properties_in[0.0].temperature)**4 - blocks[0].process.fs.h2turbine_props.water.cp_mol_ig_comp_coeff_E/(0.001*(kK/K)*blocks[0].process.fs.h2_turbine.turbine.control_volume.properties_in[0.0].temperature) + blocks[0].process.fs.h2turbine_props.water.cp_mol_ig_comp_coeff_F)) + blocks[0].process.fs.h2_turbine.turbine.control_volume.properties_in[0.0].mole_frac_phase_comp[Vap,argon]*(1000.0*(K*kg*m**2/J/kK/s**2)*(blocks[0].process.fs.h2turbine_props.argon.cp_mol_ig_comp_coeff_A*(0.001*(kK/K)*blocks[0].process.fs.h2_turbine.turbine.control_volume.properties_in[0.0].temperature) + 0.5*blocks[0].process.fs.h2turbine_props.argon.cp_mol_ig_comp_coeff_B*(0.001*(kK/K)*blocks[0].process.fs.h2_turbine.turbine.control_volume.properties_in[0.0].temperature)**2 + 0.3333333333333333*blocks[0].process.fs.h2turbine_props.argon.cp_mol_ig_comp_coeff_C*(0.001*(kK/K)*blocks[0].process.fs.h2_turbine.turbine.control_volume.properties_in[0.0].temperature)**3 + 0.25*blocks[0].process.fs.h2turbine_props.argon.cp_mol_ig_comp_coeff_D*(0.001*(kK/K)*blocks[0].process.fs.h2_turbine.turbine.control_volume.properties_in[0.0].temperature)**4 - blocks[0].process.fs.h2turbine_props.argon.cp_mol_ig_comp_coeff_E/(0.001*(kK/K)*blocks[0].process.fs.h2_turbine.turbine.control_volume.properties_in[0.0].temperature) + blocks[0].process.fs.h2turbine_props.argon.cp_mol_ig_comp_coeff_F))))) : 0.0 : True variable lower value upper blocks[0].process.fs.h2_turbine.turbine.work_isentropic[0.0] None -300.33957621565844 None blocks[0].process.fs.h2_turbine.turbine.properties_isentropic[0.0].flow_mol_phase[Vap] 0 0.011270214789128074 10000 blocks[0].process.fs.h2_turbine.turbine.control_volume.properties_in[0.0].flow_mol_phase[Vap] 0 0.011270214789127746 10000 blocks[0].process.fs.h2_turbine.turbine.properties_isentropic[0.0].mole_frac_phase_comp[Vap,hydrogen] 1e-20 0.00999999 1.001 blocks[0].process.fs.h2_turbine.turbine.properties_isentropic[0.0].mole_frac_phase_comp[Vap,nitrogen] 1e-20 0.7327898052894521 1.001 blocks[0].process.fs.h2_turbine.turbine.properties_isentropic[0.0].mole_frac_phase_comp[Vap,oxygen] 1e-20 0.15274920255235325 1.001 blocks[0].process.fs.h2_turbine.turbine.properties_isentropic[0.0].mole_frac_phase_comp[Vap,water] 1e-20 0.11033992152700874 1.001 blocks[0].process.fs.h2_turbine.turbine.properties_isentropic[0.0].mole_frac_phase_comp[Vap,argon] 1e-20 0.00999999 1.001 blocks[0].process.fs.h2_turbine.turbine.control_volume.properties_in[0.0].mole_frac_phase_comp[Vap,hydrogen] 1e-20 0.00999999 1.001 blocks[0].process.fs.h2_turbine.turbine.control_volume.properties_in[0.0].mole_frac_phase_comp[Vap,nitrogen] 1e-20 0.7327898052894735 1.001 blocks[0].process.fs.h2_turbine.turbine.control_volume.properties_in[0.0].mole_frac_phase_comp[Vap,oxygen] 1e-20 0.1527492025523577 1.001 blocks[0].process.fs.h2_turbine.turbine.control_volume.properties_in[0.0].mole_frac_phase_comp[Vap,water] 1e-20 0.11033992152701194 1.001 blocks[0].process.fs.h2_turbine.turbine.control_volume.properties_in[0.0].mole_frac_phase_comp[Vap,argon] 1e-20 0.00999999 1.001 blocks[0].process.fs.h2turbine_props.hydrogen.cp_mol_ig_comp_coeff_F None -0.009980797000000001 None blocks[0].process.fs.h2turbine_props.nitrogen.cp_mol_ig_comp_coeff_F None -0.0049352020000000005 None blocks[0].process.fs.h2turbine_props.oxygen.cp_mol_ig_comp_coeff_F None -0.008903471 None blocks[0].process.fs.h2turbine_props.water.cp_mol_ig_comp_coeff_F None -0.250881 None blocks[0].process.fs.h2turbine_props.argon.cp_mol_ig_comp_coeff_F None -0.00619735 None blocks[0].process.fs.h2turbine_props.hydrogen.cp_mol_ig_comp_coeff_A None 33.066178 None blocks[0].process.fs.h2turbine_props.nitrogen.cp_mol_ig_comp_coeff_A None 19.50583 None blocks[0].process.fs.h2turbine_props.oxygen.cp_mol_ig_comp_coeff_A None 31.32234 None blocks[0].process.fs.h2turbine_props.water.cp_mol_ig_comp_coeff_A None 30.092 None blocks[0].process.fs.h2turbine_props.argon.cp_mol_ig_comp_coeff_A None 20.786 None blocks[0].process.fs.h2_turbine.turbine.properties_isentropic[0.0].temperature 273.15 647.1527567415405 2000 blocks[0].process.fs.h2turbine_props.hydrogen.cp_mol_ig_comp_coeff_B None -11.363417 None blocks[0].process.fs.h2turbine_props.hydrogen.cp_mol_ig_comp_coeff_C None 11.432816 None blocks[0].process.fs.h2turbine_props.hydrogen.cp_mol_ig_comp_coeff_D None -2.772874 None blocks[0].process.fs.h2turbine_props.hydrogen.cp_mol_ig_comp_coeff_E None -0.158558 None blocks[0].process.fs.h2turbine_props.nitrogen.cp_mol_ig_comp_coeff_B None 19.88705 None blocks[0].process.fs.h2turbine_props.nitrogen.cp_mol_ig_comp_coeff_C None -8.598535 None blocks[0].process.fs.h2turbine_props.nitrogen.cp_mol_ig_comp_coeff_D None 1.369784 None blocks[0].process.fs.h2turbine_props.nitrogen.cp_mol_ig_comp_coeff_E None 0.527601 None blocks[0].process.fs.h2turbine_props.oxygen.cp_mol_ig_comp_coeff_B None -20.23531 None blocks[0].process.fs.h2turbine_props.oxygen.cp_mol_ig_comp_coeff_C None 57.86644 None blocks[0].process.fs.h2turbine_props.oxygen.cp_mol_ig_comp_coeff_D None -36.50624 None blocks[0].process.fs.h2turbine_props.oxygen.cp_mol_ig_comp_coeff_E None -0.007374 None blocks[0].process.fs.h2turbine_props.water.cp_mol_ig_comp_coeff_B None 6.832514 None blocks[0].process.fs.h2turbine_props.water.cp_mol_ig_comp_coeff_C None 6.793435 None blocks[0].process.fs.h2turbine_props.water.cp_mol_ig_comp_coeff_D None -2.53448 None blocks[0].process.fs.h2turbine_props.water.cp_mol_ig_comp_coeff_E None 0.082139 None blocks[0].process.fs.h2turbine_props.argon.cp_mol_ig_comp_coeff_B None 2.82e-07 None blocks[0].process.fs.h2turbine_props.argon.cp_mol_ig_comp_coeff_C None -1.46e-07 None blocks[0].process.fs.h2turbine_props.argon.cp_mol_ig_comp_coeff_D None 1.092e-08 None blocks[0].process.fs.h2turbine_props.argon.cp_mol_ig_comp_coeff_E None -3.66e-08 None blocks[0].process.fs.h2_turbine.turbine.control_volume.properties_in[0.0].temperature 273.15 1451.7880968132567 2000 count = 41 |residual| = 3.80007333242429 {Member of isentropic_energy_balance} : Calculate work of isentropic process Size=1, Index=blocks[1].process.fs._time, Active=True Key : Lower : Body : Upper : Active 0.0 : 0.0 : blocks[1].process.fs.h2_turbine.turbine.work_isentropic[0.0] - ((blocks[1].process.fs.h2_turbine.turbine.properties_isentropic[0.0].flow_mol_phase[Vap]*(blocks[1].process.fs.h2_turbine.turbine.properties_isentropic[0.0].mole_frac_phase_comp[Vap,hydrogen]*(1000.0*(K*kg*m**2/J/kK/s**2)*(blocks[1].process.fs.h2turbine_props.hydrogen.cp_mol_ig_comp_coeff_A*(0.001*(kK/K)*blocks[1].process.fs.h2_turbine.turbine.properties_isentropic[0.0].temperature) + 0.5*blocks[1].process.fs.h2turbine_props.hydrogen.cp_mol_ig_comp_coeff_B*(0.001*(kK/K)*blocks[1].process.fs.h2_turbine.turbine.properties_isentropic[0.0].temperature)**2 + 0.3333333333333333*blocks[1].process.fs.h2turbine_props.hydrogen.cp_mol_ig_comp_coeff_C*(0.001*(kK/K)*blocks[1].process.fs.h2_turbine.turbine.properties_isentropic[0.0].temperature)**3 + 0.25*blocks[1].process.fs.h2turbine_props.hydrogen.cp_mol_ig_comp_coeff_D*(0.001*(kK/K)*blocks[1].process.fs.h2_turbine.turbine.properties_isentropic[0.0].temperature)**4 - blocks[1].process.fs.h2turbine_props.hydrogen.cp_mol_ig_comp_coeff_E/(0.001*(kK/K)*blocks[1].process.fs.h2_turbine.turbine.properties_isentropic[0.0].temperature) + blocks[1].process.fs.h2turbine_props.hydrogen.cp_mol_ig_comp_coeff_F)) + blocks[1].process.fs.h2_turbine.turbine.properties_isentropic[0.0].mole_frac_phase_comp[Vap,nitrogen]*(1000.0*(K*kg*m**2/J/kK/s**2)*(blocks[1].process.fs.h2turbine_props.nitrogen.cp_mol_ig_comp_coeff_A*(0.001*(kK/K)*blocks[1].process.fs.h2_turbine.turbine.properties_isentropic[0.0].temperature) + 0.5*blocks[1].process.fs.h2turbine_props.nitrogen.cp_mol_ig_comp_coeff_B*(0.001*(kK/K)*blocks[1].process.fs.h2_turbine.turbine.properties_isentropic[0.0].temperature)**2 + 0.3333333333333333*blocks[1].process.fs.h2turbine_props.nitrogen.cp_mol_ig_comp_coeff_C*(0.001*(kK/K)*blocks[1].process.fs.h2_turbine.turbine.properties_isentropic[0.0].temperature)**3 + 0.25*blocks[1].process.fs.h2turbine_props.nitrogen.cp_mol_ig_comp_coeff_D*(0.001*(kK/K)*blocks[1].process.fs.h2_turbine.turbine.properties_isentropic[0.0].temperature)**4 - blocks[1].process.fs.h2turbine_props.nitrogen.cp_mol_ig_comp_coeff_E/(0.001*(kK/K)*blocks[1].process.fs.h2_turbine.turbine.properties_isentropic[0.0].temperature) + blocks[1].process.fs.h2turbine_props.nitrogen.cp_mol_ig_comp_coeff_F)) + blocks[1].process.fs.h2_turbine.turbine.properties_isentropic[0.0].mole_frac_phase_comp[Vap,oxygen]*(1000.0*(K*kg*m**2/J/kK/s**2)*(blocks[1].process.fs.h2turbine_props.oxygen.cp_mol_ig_comp_coeff_A*(0.001*(kK/K)*blocks[1].process.fs.h2_turbine.turbine.properties_isentropic[0.0].temperature) + 0.5*blocks[1].process.fs.h2turbine_props.oxygen.cp_mol_ig_comp_coeff_B*(0.001*(kK/K)*blocks[1].process.fs.h2_turbine.turbine.properties_isentropic[0.0].temperature)**2 + 0.3333333333333333*blocks[1].process.fs.h2turbine_props.oxygen.cp_mol_ig_comp_coeff_C*(0.001*(kK/K)*blocks[1].process.fs.h2_turbine.turbine.properties_isentropic[0.0].temperature)**3 + 0.25*blocks[1].process.fs.h2turbine_props.oxygen.cp_mol_ig_comp_coeff_D*(0.001*(kK/K)*blocks[1].process.fs.h2_turbine.turbine.properties_isentropic[0.0].temperature)**4 - blocks[1].process.fs.h2turbine_props.oxygen.cp_mol_ig_comp_coeff_E/(0.001*(kK/K)*blocks[1].process.fs.h2_turbine.turbine.properties_isentropic[0.0].temperature) + blocks[1].process.fs.h2turbine_props.oxygen.cp_mol_ig_comp_coeff_F)) + blocks[1].process.fs.h2_turbine.turbine.properties_isentropic[0.0].mole_frac_phase_comp[Vap,water]*(1000.0*(K*kg*m**2/J/kK/s**2)*(blocks[1].process.fs.h2turbine_props.water.cp_mol_ig_comp_coeff_A*(0.001*(kK/K)*blocks[1].process.fs.h2_turbine.turbine.properties_isentropic[0.0].temperature) + 0.5*blocks[1].process.fs.h2turbine_props.water.cp_mol_ig_comp_coeff_B*(0.001*(kK/K)*blocks[1].process.fs.h2_turbine.turbine.properties_isentropic[0.0].temperature)**2 + 0.3333333333333333*blocks[1].process.fs.h2turbine_props.water.cp_mol_ig_comp_coeff_C*(0.001*(kK/K)*blocks[1].process.fs.h2_turbine.turbine.properties_isentropic[0.0].temperature)**3 + 0.25*blocks[1].process.fs.h2turbine_props.water.cp_mol_ig_comp_coeff_D*(0.001*(kK/K)*blocks[1].process.fs.h2_turbine.turbine.properties_isentropic[0.0].temperature)**4 - blocks[1].process.fs.h2turbine_props.water.cp_mol_ig_comp_coeff_E/(0.001*(kK/K)*blocks[1].process.fs.h2_turbine.turbine.properties_isentropic[0.0].temperature) + blocks[1].process.fs.h2turbine_props.water.cp_mol_ig_comp_coeff_F)) + blocks[1].process.fs.h2_turbine.turbine.properties_isentropic[0.0].mole_frac_phase_comp[Vap,argon]*(1000.0*(K*kg*m**2/J/kK/s**2)*(blocks[1].process.fs.h2turbine_props.argon.cp_mol_ig_comp_coeff_A*(0.001*(kK/K)*blocks[1].process.fs.h2_turbine.turbine.properties_isentropic[0.0].temperature) + 0.5*blocks[1].process.fs.h2turbine_props.argon.cp_mol_ig_comp_coeff_B*(0.001*(kK/K)*blocks[1].process.fs.h2_turbine.turbine.properties_isentropic[0.0].temperature)**2 + 0.3333333333333333*blocks[1].process.fs.h2turbine_props.argon.cp_mol_ig_comp_coeff_C*(0.001*(kK/K)*blocks[1].process.fs.h2_turbine.turbine.properties_isentropic[0.0].temperature)**3 + 0.25*blocks[1].process.fs.h2turbine_props.argon.cp_mol_ig_comp_coeff_D*(0.001*(kK/K)*blocks[1].process.fs.h2_turbine.turbine.properties_isentropic[0.0].temperature)**4 - blocks[1].process.fs.h2turbine_props.argon.cp_mol_ig_comp_coeff_E/(0.001*(kK/K)*blocks[1].process.fs.h2_turbine.turbine.properties_isentropic[0.0].temperature) + blocks[1].process.fs.h2turbine_props.argon.cp_mol_ig_comp_coeff_F)))) - (blocks[1].process.fs.h2_turbine.turbine.control_volume.properties_in[0.0].flow_mol_phase[Vap]*(blocks[1].process.fs.h2_turbine.turbine.control_volume.properties_in[0.0].mole_frac_phase_comp[Vap,hydrogen]*(1000.0*(K*kg*m**2/J/kK/s**2)*(blocks[1].process.fs.h2turbine_props.hydrogen.cp_mol_ig_comp_coeff_A*(0.001*(kK/K)*blocks[1].process.fs.h2_turbine.turbine.control_volume.properties_in[0.0].temperature) + 0.5*blocks[1].process.fs.h2turbine_props.hydrogen.cp_mol_ig_comp_coeff_B*(0.001*(kK/K)*blocks[1].process.fs.h2_turbine.turbine.control_volume.properties_in[0.0].temperature)**2 + 0.3333333333333333*blocks[1].process.fs.h2turbine_props.hydrogen.cp_mol_ig_comp_coeff_C*(0.001*(kK/K)*blocks[1].process.fs.h2_turbine.turbine.control_volume.properties_in[0.0].temperature)**3 + 0.25*blocks[1].process.fs.h2turbine_props.hydrogen.cp_mol_ig_comp_coeff_D*(0.001*(kK/K)*blocks[1].process.fs.h2_turbine.turbine.control_volume.properties_in[0.0].temperature)**4 - blocks[1].process.fs.h2turbine_props.hydrogen.cp_mol_ig_comp_coeff_E/(0.001*(kK/K)*blocks[1].process.fs.h2_turbine.turbine.control_volume.properties_in[0.0].temperature) + blocks[1].process.fs.h2turbine_props.hydrogen.cp_mol_ig_comp_coeff_F)) + blocks[1].process.fs.h2_turbine.turbine.control_volume.properties_in[0.0].mole_frac_phase_comp[Vap,nitrogen]*(1000.0*(K*kg*m**2/J/kK/s**2)*(blocks[1].process.fs.h2turbine_props.nitrogen.cp_mol_ig_comp_coeff_A*(0.001*(kK/K)*blocks[1].process.fs.h2_turbine.turbine.control_volume.properties_in[0.0].temperature) + 0.5*blocks[1].process.fs.h2turbine_props.nitrogen.cp_mol_ig_comp_coeff_B*(0.001*(kK/K)*blocks[1].process.fs.h2_turbine.turbine.control_volume.properties_in[0.0].temperature)**2 + 0.3333333333333333*blocks[1].process.fs.h2turbine_props.nitrogen.cp_mol_ig_comp_coeff_C*(0.001*(kK/K)*blocks[1].process.fs.h2_turbine.turbine.control_volume.properties_in[0.0].temperature)**3 + 0.25*blocks[1].process.fs.h2turbine_props.nitrogen.cp_mol_ig_comp_coeff_D*(0.001*(kK/K)*blocks[1].process.fs.h2_turbine.turbine.control_volume.properties_in[0.0].temperature)**4 - blocks[1].process.fs.h2turbine_props.nitrogen.cp_mol_ig_comp_coeff_E/(0.001*(kK/K)*blocks[1].process.fs.h2_turbine.turbine.control_volume.properties_in[0.0].temperature) + blocks[1].process.fs.h2turbine_props.nitrogen.cp_mol_ig_comp_coeff_F)) + blocks[1].process.fs.h2_turbine.turbine.control_volume.properties_in[0.0].mole_frac_phase_comp[Vap,oxygen]*(1000.0*(K*kg*m**2/J/kK/s**2)*(blocks[1].process.fs.h2turbine_props.oxygen.cp_mol_ig_comp_coeff_A*(0.001*(kK/K)*blocks[1].process.fs.h2_turbine.turbine.control_volume.properties_in[0.0].temperature) + 0.5*blocks[1].process.fs.h2turbine_props.oxygen.cp_mol_ig_comp_coeff_B*(0.001*(kK/K)*blocks[1].process.fs.h2_turbine.turbine.control_volume.properties_in[0.0].temperature)**2 + 0.3333333333333333*blocks[1].process.fs.h2turbine_props.oxygen.cp_mol_ig_comp_coeff_C*(0.001*(kK/K)*blocks[1].process.fs.h2_turbine.turbine.control_volume.properties_in[0.0].temperature)**3 + 0.25*blocks[1].process.fs.h2turbine_props.oxygen.cp_mol_ig_comp_coeff_D*(0.001*(kK/K)*blocks[1].process.fs.h2_turbine.turbine.control_volume.properties_in[0.0].temperature)**4 - blocks[1].process.fs.h2turbine_props.oxygen.cp_mol_ig_comp_coeff_E/(0.001*(kK/K)*blocks[1].process.fs.h2_turbine.turbine.control_volume.properties_in[0.0].temperature) + blocks[1].process.fs.h2turbine_props.oxygen.cp_mol_ig_comp_coeff_F)) + blocks[1].process.fs.h2_turbine.turbine.control_volume.properties_in[0.0].mole_frac_phase_comp[Vap,water]*(1000.0*(K*kg*m**2/J/kK/s**2)*(blocks[1].process.fs.h2turbine_props.water.cp_mol_ig_comp_coeff_A*(0.001*(kK/K)*blocks[1].process.fs.h2_turbine.turbine.control_volume.properties_in[0.0].temperature) + 0.5*blocks[1].process.fs.h2turbine_props.water.cp_mol_ig_comp_coeff_B*(0.001*(kK/K)*blocks[1].process.fs.h2_turbine.turbine.control_volume.properties_in[0.0].temperature)**2 + 0.3333333333333333*blocks[1].process.fs.h2turbine_props.water.cp_mol_ig_comp_coeff_C*(0.001*(kK/K)*blocks[1].process.fs.h2_turbine.turbine.control_volume.properties_in[0.0].temperature)**3 + 0.25*blocks[1].process.fs.h2turbine_props.water.cp_mol_ig_comp_coeff_D*(0.001*(kK/K)*blocks[1].process.fs.h2_turbine.turbine.control_volume.properties_in[0.0].temperature)**4 - blocks[1].process.fs.h2turbine_props.water.cp_mol_ig_comp_coeff_E/(0.001*(kK/K)*blocks[1].process.fs.h2_turbine.turbine.control_volume.properties_in[0.0].temperature) + blocks[1].process.fs.h2turbine_props.water.cp_mol_ig_comp_coeff_F)) + blocks[1].process.fs.h2_turbine.turbine.control_volume.properties_in[0.0].mole_frac_phase_comp[Vap,argon]*(1000.0*(K*kg*m**2/J/kK/s**2)*(blocks[1].process.fs.h2turbine_props.argon.cp_mol_ig_comp_coeff_A*(0.001*(kK/K)*blocks[1].process.fs.h2_turbine.turbine.control_volume.properties_in[0.0].temperature) + 0.5*blocks[1].process.fs.h2turbine_props.argon.cp_mol_ig_comp_coeff_B*(0.001*(kK/K)*blocks[1].process.fs.h2_turbine.turbine.control_volume.properties_in[0.0].temperature)**2 + 0.3333333333333333*blocks[1].process.fs.h2turbine_props.argon.cp_mol_ig_comp_coeff_C*(0.001*(kK/K)*blocks[1].process.fs.h2_turbine.turbine.control_volume.properties_in[0.0].temperature)**3 + 0.25*blocks[1].process.fs.h2turbine_props.argon.cp_mol_ig_comp_coeff_D*(0.001*(kK/K)*blocks[1].process.fs.h2_turbine.turbine.control_volume.properties_in[0.0].temperature)**4 - blocks[1].process.fs.h2turbine_props.argon.cp_mol_ig_comp_coeff_E/(0.001*(kK/K)*blocks[1].process.fs.h2_turbine.turbine.control_volume.properties_in[0.0].temperature) + blocks[1].process.fs.h2turbine_props.argon.cp_mol_ig_comp_coeff_F))))) : 0.0 : True variable lower value upper blocks[1].process.fs.h2_turbine.turbine.work_isentropic[0.0] None -300.33957621565844 None blocks[1].process.fs.h2_turbine.turbine.properties_isentropic[0.0].flow_mol_phase[Vap] 0 0.011270214789128074 10000 blocks[1].process.fs.h2_turbine.turbine.control_volume.properties_in[0.0].flow_mol_phase[Vap] 0 0.011270214789127746 10000 blocks[1].process.fs.h2_turbine.turbine.properties_isentropic[0.0].mole_frac_phase_comp[Vap,hydrogen] 1e-20 0.00999999 1.001 blocks[1].process.fs.h2_turbine.turbine.properties_isentropic[0.0].mole_frac_phase_comp[Vap,nitrogen] 1e-20 0.7327898052894521 1.001 blocks[1].process.fs.h2_turbine.turbine.properties_isentropic[0.0].mole_frac_phase_comp[Vap,oxygen] 1e-20 0.15274920255235325 1.001 blocks[1].process.fs.h2_turbine.turbine.properties_isentropic[0.0].mole_frac_phase_comp[Vap,water] 1e-20 0.11033992152700874 1.001 blocks[1].process.fs.h2_turbine.turbine.properties_isentropic[0.0].mole_frac_phase_comp[Vap,argon] 1e-20 0.00999999 1.001 blocks[1].process.fs.h2_turbine.turbine.control_volume.properties_in[0.0].mole_frac_phase_comp[Vap,hydrogen] 1e-20 0.00999999 1.001 blocks[1].process.fs.h2_turbine.turbine.control_volume.properties_in[0.0].mole_frac_phase_comp[Vap,nitrogen] 1e-20 0.7327898052894735 1.001 blocks[1].process.fs.h2_turbine.turbine.control_volume.properties_in[0.0].mole_frac_phase_comp[Vap,oxygen] 1e-20 0.1527492025523577 1.001 blocks[1].process.fs.h2_turbine.turbine.control_volume.properties_in[0.0].mole_frac_phase_comp[Vap,water] 1e-20 0.11033992152701194 1.001 blocks[1].process.fs.h2_turbine.turbine.control_volume.properties_in[0.0].mole_frac_phase_comp[Vap,argon] 1e-20 0.00999999 1.001 blocks[1].process.fs.h2turbine_props.hydrogen.cp_mol_ig_comp_coeff_F None -0.009980797000000001 None blocks[1].process.fs.h2turbine_props.nitrogen.cp_mol_ig_comp_coeff_F None -0.0049352020000000005 None blocks[1].process.fs.h2turbine_props.oxygen.cp_mol_ig_comp_coeff_F None -0.008903471 None blocks[1].process.fs.h2turbine_props.water.cp_mol_ig_comp_coeff_F None -0.250881 None blocks[1].process.fs.h2turbine_props.argon.cp_mol_ig_comp_coeff_F None -0.00619735 None blocks[1].process.fs.h2turbine_props.hydrogen.cp_mol_ig_comp_coeff_A None 33.066178 None blocks[1].process.fs.h2turbine_props.nitrogen.cp_mol_ig_comp_coeff_A None 19.50583 None blocks[1].process.fs.h2turbine_props.oxygen.cp_mol_ig_comp_coeff_A None 31.32234 None blocks[1].process.fs.h2turbine_props.water.cp_mol_ig_comp_coeff_A None 30.092 None blocks[1].process.fs.h2turbine_props.argon.cp_mol_ig_comp_coeff_A None 20.786 None blocks[1].process.fs.h2_turbine.turbine.properties_isentropic[0.0].temperature 273.15 647.1527567415405 2000 blocks[1].process.fs.h2turbine_props.hydrogen.cp_mol_ig_comp_coeff_B None -11.363417 None blocks[1].process.fs.h2turbine_props.hydrogen.cp_mol_ig_comp_coeff_C None 11.432816 None blocks[1].process.fs.h2turbine_props.hydrogen.cp_mol_ig_comp_coeff_D None -2.772874 None blocks[1].process.fs.h2turbine_props.hydrogen.cp_mol_ig_comp_coeff_E None -0.158558 None blocks[1].process.fs.h2turbine_props.nitrogen.cp_mol_ig_comp_coeff_B None 19.88705 None blocks[1].process.fs.h2turbine_props.nitrogen.cp_mol_ig_comp_coeff_C None -8.598535 None blocks[1].process.fs.h2turbine_props.nitrogen.cp_mol_ig_comp_coeff_D None 1.369784 None blocks[1].process.fs.h2turbine_props.nitrogen.cp_mol_ig_comp_coeff_E None 0.527601 None blocks[1].process.fs.h2turbine_props.oxygen.cp_mol_ig_comp_coeff_B None -20.23531 None blocks[1].process.fs.h2turbine_props.oxygen.cp_mol_ig_comp_coeff_C None 57.86644 None blocks[1].process.fs.h2turbine_props.oxygen.cp_mol_ig_comp_coeff_D None -36.50624 None blocks[1].process.fs.h2turbine_props.oxygen.cp_mol_ig_comp_coeff_E None -0.007374 None blocks[1].process.fs.h2turbine_props.water.cp_mol_ig_comp_coeff_B None 6.832514 None blocks[1].process.fs.h2turbine_props.water.cp_mol_ig_comp_coeff_C None 6.793435 None blocks[1].process.fs.h2turbine_props.water.cp_mol_ig_comp_coeff_D None -2.53448 None blocks[1].process.fs.h2turbine_props.water.cp_mol_ig_comp_coeff_E None 0.082139 None blocks[1].process.fs.h2turbine_props.argon.cp_mol_ig_comp_coeff_B None 2.82e-07 None blocks[1].process.fs.h2turbine_props.argon.cp_mol_ig_comp_coeff_C None -1.46e-07 None blocks[1].process.fs.h2turbine_props.argon.cp_mol_ig_comp_coeff_D None 1.092e-08 None blocks[1].process.fs.h2turbine_props.argon.cp_mol_ig_comp_coeff_E None -3.66e-08 None blocks[1].process.fs.h2_turbine.turbine.control_volume.properties_in[0.0].temperature 273.15 1451.7880968132567 2000 count = 42 |residual| = 1.9528469269412108 {Member of enthalpy_mixing_equations} : Energy balances Size=1, Index=blocks[0].process.fs._time, Active=True Key : Lower : Body : Upper : Active 0.0 : 0.0 : ((blocks[0].process.fs.mixer.air_feed_state[0.0].flow_mol_phase[Vap]*(blocks[0].process.fs.mixer.air_feed_state[0.0].mole_frac_phase_comp[Vap,hydrogen]*(1000.0*(K*kg*m**2/J/kK/s**2)*(blocks[0].process.fs.h2turbine_props.hydrogen.cp_mol_ig_comp_coeff_A*(0.001*(kK/K)*blocks[0].process.fs.mixer.air_feed_state[0.0].temperature) + 0.5*blocks[0].process.fs.h2turbine_props.hydrogen.cp_mol_ig_comp_coeff_B*(0.001*(kK/K)*blocks[0].process.fs.mixer.air_feed_state[0.0].temperature)**2 + 0.3333333333333333*blocks[0].process.fs.h2turbine_props.hydrogen.cp_mol_ig_comp_coeff_C*(0.001*(kK/K)*blocks[0].process.fs.mixer.air_feed_state[0.0].temperature)**3 + 0.25*blocks[0].process.fs.h2turbine_props.hydrogen.cp_mol_ig_comp_coeff_D*(0.001*(kK/K)*blocks[0].process.fs.mixer.air_feed_state[0.0].temperature)**4 - blocks[0].process.fs.h2turbine_props.hydrogen.cp_mol_ig_comp_coeff_E/(0.001*(kK/K)*blocks[0].process.fs.mixer.air_feed_state[0.0].temperature) + blocks[0].process.fs.h2turbine_props.hydrogen.cp_mol_ig_comp_coeff_F)) + blocks[0].process.fs.mixer.air_feed_state[0.0].mole_frac_phase_comp[Vap,nitrogen]*(1000.0*(K*kg*m**2/J/kK/s**2)*(blocks[0].process.fs.h2turbine_props.nitrogen.cp_mol_ig_comp_coeff_A*(0.001*(kK/K)*blocks[0].process.fs.mixer.air_feed_state[0.0].temperature) + 0.5*blocks[0].process.fs.h2turbine_props.nitrogen.cp_mol_ig_comp_coeff_B*(0.001*(kK/K)*blocks[0].process.fs.mixer.air_feed_state[0.0].temperature)**2 + 0.3333333333333333*blocks[0].process.fs.h2turbine_props.nitrogen.cp_mol_ig_comp_coeff_C*(0.001*(kK/K)*blocks[0].process.fs.mixer.air_feed_state[0.0].temperature)**3 + 0.25*blocks[0].process.fs.h2turbine_props.nitrogen.cp_mol_ig_comp_coeff_D*(0.001*(kK/K)*blocks[0].process.fs.mixer.air_feed_state[0.0].temperature)**4 - blocks[0].process.fs.h2turbine_props.nitrogen.cp_mol_ig_comp_coeff_E/(0.001*(kK/K)*blocks[0].process.fs.mixer.air_feed_state[0.0].temperature) + blocks[0].process.fs.h2turbine_props.nitrogen.cp_mol_ig_comp_coeff_F)) + blocks[0].process.fs.mixer.air_feed_state[0.0].mole_frac_phase_comp[Vap,oxygen]*(1000.0*(K*kg*m**2/J/kK/s**2)*(blocks[0].process.fs.h2turbine_props.oxygen.cp_mol_ig_comp_coeff_A*(0.001*(kK/K)*blocks[0].process.fs.mixer.air_feed_state[0.0].temperature) + 0.5*blocks[0].process.fs.h2turbine_props.oxygen.cp_mol_ig_comp_coeff_B*(0.001*(kK/K)*blocks[0].process.fs.mixer.air_feed_state[0.0].temperature)**2 + 0.3333333333333333*blocks[0].process.fs.h2turbine_props.oxygen.cp_mol_ig_comp_coeff_C*(0.001*(kK/K)*blocks[0].process.fs.mixer.air_feed_state[0.0].temperature)**3 + 0.25*blocks[0].process.fs.h2turbine_props.oxygen.cp_mol_ig_comp_coeff_D*(0.001*(kK/K)*blocks[0].process.fs.mixer.air_feed_state[0.0].temperature)**4 - blocks[0].process.fs.h2turbine_props.oxygen.cp_mol_ig_comp_coeff_E/(0.001*(kK/K)*blocks[0].process.fs.mixer.air_feed_state[0.0].temperature) + blocks[0].process.fs.h2turbine_props.oxygen.cp_mol_ig_comp_coeff_F)) + blocks[0].process.fs.mixer.air_feed_state[0.0].mole_frac_phase_comp[Vap,water]*(1000.0*(K*kg*m**2/J/kK/s**2)*(blocks[0].process.fs.h2turbine_props.water.cp_mol_ig_comp_coeff_A*(0.001*(kK/K)*blocks[0].process.fs.mixer.air_feed_state[0.0].temperature) + 0.5*blocks[0].process.fs.h2turbine_props.water.cp_mol_ig_comp_coeff_B*(0.001*(kK/K)*blocks[0].process.fs.mixer.air_feed_state[0.0].temperature)**2 + 0.3333333333333333*blocks[0].process.fs.h2turbine_props.water.cp_mol_ig_comp_coeff_C*(0.001*(kK/K)*blocks[0].process.fs.mixer.air_feed_state[0.0].temperature)**3 + 0.25*blocks[0].process.fs.h2turbine_props.water.cp_mol_ig_comp_coeff_D*(0.001*(kK/K)*blocks[0].process.fs.mixer.air_feed_state[0.0].temperature)**4 - blocks[0].process.fs.h2turbine_props.water.cp_mol_ig_comp_coeff_E/(0.001*(kK/K)*blocks[0].process.fs.mixer.air_feed_state[0.0].temperature) + blocks[0].process.fs.h2turbine_props.water.cp_mol_ig_comp_coeff_F)) + blocks[0].process.fs.mixer.air_feed_state[0.0].mole_frac_phase_comp[Vap,argon]*(1000.0*(K*kg*m**2/J/kK/s**2)*(blocks[0].process.fs.h2turbine_props.argon.cp_mol_ig_comp_coeff_A*(0.001*(kK/K)*blocks[0].process.fs.mixer.air_feed_state[0.0].temperature) + 0.5*blocks[0].process.fs.h2turbine_props.argon.cp_mol_ig_comp_coeff_B*(0.001*(kK/K)*blocks[0].process.fs.mixer.air_feed_state[0.0].temperature)**2 + 0.3333333333333333*blocks[0].process.fs.h2turbine_props.argon.cp_mol_ig_comp_coeff_C*(0.001*(kK/K)*blocks[0].process.fs.mixer.air_feed_state[0.0].temperature)**3 + 0.25*blocks[0].process.fs.h2turbine_props.argon.cp_mol_ig_comp_coeff_D*(0.001*(kK/K)*blocks[0].process.fs.mixer.air_feed_state[0.0].temperature)**4 - blocks[0].process.fs.h2turbine_props.argon.cp_mol_ig_comp_coeff_E/(0.001*(kK/K)*blocks[0].process.fs.mixer.air_feed_state[0.0].temperature) + blocks[0].process.fs.h2turbine_props.argon.cp_mol_ig_comp_coeff_F)))) + (blocks[0].process.fs.mixer.hydrogen_feed_state[0.0].flow_mol_phase[Vap]*(blocks[0].process.fs.mixer.hydrogen_feed_state[0.0].mole_frac_phase_comp[Vap,hydrogen]*(1000.0*(K*kg*m**2/J/kK/s**2)*(blocks[0].process.fs.h2turbine_props.hydrogen.cp_mol_ig_comp_coeff_A*(0.001*(kK/K)*blocks[0].process.fs.mixer.hydrogen_feed_state[0.0].temperature) + 0.5*blocks[0].process.fs.h2turbine_props.hydrogen.cp_mol_ig_comp_coeff_B*(0.001*(kK/K)*blocks[0].process.fs.mixer.hydrogen_feed_state[0.0].temperature)**2 + 0.3333333333333333*blocks[0].process.fs.h2turbine_props.hydrogen.cp_mol_ig_comp_coeff_C*(0.001*(kK/K)*blocks[0].process.fs.mixer.hydrogen_feed_state[0.0].temperature)**3 + 0.25*blocks[0].process.fs.h2turbine_props.hydrogen.cp_mol_ig_comp_coeff_D*(0.001*(kK/K)*blocks[0].process.fs.mixer.hydrogen_feed_state[0.0].temperature)**4 - blocks[0].process.fs.h2turbine_props.hydrogen.cp_mol_ig_comp_coeff_E/(0.001*(kK/K)*blocks[0].process.fs.mixer.hydrogen_feed_state[0.0].temperature) + blocks[0].process.fs.h2turbine_props.hydrogen.cp_mol_ig_comp_coeff_F)) + blocks[0].process.fs.mixer.hydrogen_feed_state[0.0].mole_frac_phase_comp[Vap,nitrogen]*(1000.0*(K*kg*m**2/J/kK/s**2)*(blocks[0].process.fs.h2turbine_props.nitrogen.cp_mol_ig_comp_coeff_A*(0.001*(kK/K)*blocks[0].process.fs.mixer.hydrogen_feed_state[0.0].temperature) + 0.5*blocks[0].process.fs.h2turbine_props.nitrogen.cp_mol_ig_comp_coeff_B*(0.001*(kK/K)*blocks[0].process.fs.mixer.hydrogen_feed_state[0.0].temperature)**2 + 0.3333333333333333*blocks[0].process.fs.h2turbine_props.nitrogen.cp_mol_ig_comp_coeff_C*(0.001*(kK/K)*blocks[0].process.fs.mixer.hydrogen_feed_state[0.0].temperature)**3 + 0.25*blocks[0].process.fs.h2turbine_props.nitrogen.cp_mol_ig_comp_coeff_D*(0.001*(kK/K)*blocks[0].process.fs.mixer.hydrogen_feed_state[0.0].temperature)**4 - blocks[0].process.fs.h2turbine_props.nitrogen.cp_mol_ig_comp_coeff_E/(0.001*(kK/K)*blocks[0].process.fs.mixer.hydrogen_feed_state[0.0].temperature) + blocks[0].process.fs.h2turbine_props.nitrogen.cp_mol_ig_comp_coeff_F)) + blocks[0].process.fs.mixer.hydrogen_feed_state[0.0].mole_frac_phase_comp[Vap,oxygen]*(1000.0*(K*kg*m**2/J/kK/s**2)*(blocks[0].process.fs.h2turbine_props.oxygen.cp_mol_ig_comp_coeff_A*(0.001*(kK/K)*blocks[0].process.fs.mixer.hydrogen_feed_state[0.0].temperature) + 0.5*blocks[0].process.fs.h2turbine_props.oxygen.cp_mol_ig_comp_coeff_B*(0.001*(kK/K)*blocks[0].process.fs.mixer.hydrogen_feed_state[0.0].temperature)**2 + 0.3333333333333333*blocks[0].process.fs.h2turbine_props.oxygen.cp_mol_ig_comp_coeff_C*(0.001*(kK/K)*blocks[0].process.fs.mixer.hydrogen_feed_state[0.0].temperature)**3 + 0.25*blocks[0].process.fs.h2turbine_props.oxygen.cp_mol_ig_comp_coeff_D*(0.001*(kK/K)*blocks[0].process.fs.mixer.hydrogen_feed_state[0.0].temperature)**4 - blocks[0].process.fs.h2turbine_props.oxygen.cp_mol_ig_comp_coeff_E/(0.001*(kK/K)*blocks[0].process.fs.mixer.hydrogen_feed_state[0.0].temperature) + blocks[0].process.fs.h2turbine_props.oxygen.cp_mol_ig_comp_coeff_F)) + blocks[0].process.fs.mixer.hydrogen_feed_state[0.0].mole_frac_phase_comp[Vap,water]*(1000.0*(K*kg*m**2/J/kK/s**2)*(blocks[0].process.fs.h2turbine_props.water.cp_mol_ig_comp_coeff_A*(0.001*(kK/K)*blocks[0].process.fs.mixer.hydrogen_feed_state[0.0].temperature) + 0.5*blocks[0].process.fs.h2turbine_props.water.cp_mol_ig_comp_coeff_B*(0.001*(kK/K)*blocks[0].process.fs.mixer.hydrogen_feed_state[0.0].temperature)**2 + 0.3333333333333333*blocks[0].process.fs.h2turbine_props.water.cp_mol_ig_comp_coeff_C*(0.001*(kK/K)*blocks[0].process.fs.mixer.hydrogen_feed_state[0.0].temperature)**3 + 0.25*blocks[0].process.fs.h2turbine_props.water.cp_mol_ig_comp_coeff_D*(0.001*(kK/K)*blocks[0].process.fs.mixer.hydrogen_feed_state[0.0].temperature)**4 - blocks[0].process.fs.h2turbine_props.water.cp_mol_ig_comp_coeff_E/(0.001*(kK/K)*blocks[0].process.fs.mixer.hydrogen_feed_state[0.0].temperature) + blocks[0].process.fs.h2turbine_props.water.cp_mol_ig_comp_coeff_F)) + blocks[0].process.fs.mixer.hydrogen_feed_state[0.0].mole_frac_phase_comp[Vap,argon]*(1000.0*(K*kg*m**2/J/kK/s**2)*(blocks[0].process.fs.h2turbine_props.argon.cp_mol_ig_comp_coeff_A*(0.001*(kK/K)*blocks[0].process.fs.mixer.hydrogen_feed_state[0.0].temperature) + 0.5*blocks[0].process.fs.h2turbine_props.argon.cp_mol_ig_comp_coeff_B*(0.001*(kK/K)*blocks[0].process.fs.mixer.hydrogen_feed_state[0.0].temperature)**2 + 0.3333333333333333*blocks[0].process.fs.h2turbine_props.argon.cp_mol_ig_comp_coeff_C*(0.001*(kK/K)*blocks[0].process.fs.mixer.hydrogen_feed_state[0.0].temperature)**3 + 0.25*blocks[0].process.fs.h2turbine_props.argon.cp_mol_ig_comp_coeff_D*(0.001*(kK/K)*blocks[0].process.fs.mixer.hydrogen_feed_state[0.0].temperature)**4 - blocks[0].process.fs.h2turbine_props.argon.cp_mol_ig_comp_coeff_E/(0.001*(kK/K)*blocks[0].process.fs.mixer.hydrogen_feed_state[0.0].temperature) + blocks[0].process.fs.h2turbine_props.argon.cp_mol_ig_comp_coeff_F)))) + (blocks[0].process.fs.mixer.purchased_hydrogen_feed_state[0.0].flow_mol_phase[Vap]*(blocks[0].process.fs.mixer.purchased_hydrogen_feed_state[0.0].mole_frac_phase_comp[Vap,hydrogen]*(1000.0*(K*kg*m**2/J/kK/s**2)*(blocks[0].process.fs.h2turbine_props.hydrogen.cp_mol_ig_comp_coeff_A*(0.001*(kK/K)*blocks[0].process.fs.mixer.purchased_hydrogen_feed_state[0.0].temperature) + 0.5*blocks[0].process.fs.h2turbine_props.hydrogen.cp_mol_ig_comp_coeff_B*(0.001*(kK/K)*blocks[0].process.fs.mixer.purchased_hydrogen_feed_state[0.0].temperature)**2 + 0.3333333333333333*blocks[0].process.fs.h2turbine_props.hydrogen.cp_mol_ig_comp_coeff_C*(0.001*(kK/K)*blocks[0].process.fs.mixer.purchased_hydrogen_feed_state[0.0].temperature)**3 + 0.25*blocks[0].process.fs.h2turbine_props.hydrogen.cp_mol_ig_comp_coeff_D*(0.001*(kK/K)*blocks[0].process.fs.mixer.purchased_hydrogen_feed_state[0.0].temperature)**4 - blocks[0].process.fs.h2turbine_props.hydrogen.cp_mol_ig_comp_coeff_E/(0.001*(kK/K)*blocks[0].process.fs.mixer.purchased_hydrogen_feed_state[0.0].temperature) + blocks[0].process.fs.h2turbine_props.hydrogen.cp_mol_ig_comp_coeff_F)) + blocks[0].process.fs.mixer.purchased_hydrogen_feed_state[0.0].mole_frac_phase_comp[Vap,nitrogen]*(1000.0*(K*kg*m**2/J/kK/s**2)*(blocks[0].process.fs.h2turbine_props.nitrogen.cp_mol_ig_comp_coeff_A*(0.001*(kK/K)*blocks[0].process.fs.mixer.purchased_hydrogen_feed_state[0.0].temperature) + 0.5*blocks[0].process.fs.h2turbine_props.nitrogen.cp_mol_ig_comp_coeff_B*(0.001*(kK/K)*blocks[0].process.fs.mixer.purchased_hydrogen_feed_state[0.0].temperature)**2 + 0.3333333333333333*blocks[0].process.fs.h2turbine_props.nitrogen.cp_mol_ig_comp_coeff_C*(0.001*(kK/K)*blocks[0].process.fs.mixer.purchased_hydrogen_feed_state[0.0].temperature)**3 + 0.25*blocks[0].process.fs.h2turbine_props.nitrogen.cp_mol_ig_comp_coeff_D*(0.001*(kK/K)*blocks[0].process.fs.mixer.purchased_hydrogen_feed_state[0.0].temperature)**4 - blocks[0].process.fs.h2turbine_props.nitrogen.cp_mol_ig_comp_coeff_E/(0.001*(kK/K)*blocks[0].process.fs.mixer.purchased_hydrogen_feed_state[0.0].temperature) + blocks[0].process.fs.h2turbine_props.nitrogen.cp_mol_ig_comp_coeff_F)) + blocks[0].process.fs.mixer.purchased_hydrogen_feed_state[0.0].mole_frac_phase_comp[Vap,oxygen]*(1000.0*(K*kg*m**2/J/kK/s**2)*(blocks[0].process.fs.h2turbine_props.oxygen.cp_mol_ig_comp_coeff_A*(0.001*(kK/K)*blocks[0].process.fs.mixer.purchased_hydrogen_feed_state[0.0].temperature) + 0.5*blocks[0].process.fs.h2turbine_props.oxygen.cp_mol_ig_comp_coeff_B*(0.001*(kK/K)*blocks[0].process.fs.mixer.purchased_hydrogen_feed_state[0.0].temperature)**2 + 0.3333333333333333*blocks[0].process.fs.h2turbine_props.oxygen.cp_mol_ig_comp_coeff_C*(0.001*(kK/K)*blocks[0].process.fs.mixer.purchased_hydrogen_feed_state[0.0].temperature)**3 + 0.25*blocks[0].process.fs.h2turbine_props.oxygen.cp_mol_ig_comp_coeff_D*(0.001*(kK/K)*blocks[0].process.fs.mixer.purchased_hydrogen_feed_state[0.0].temperature)**4 - blocks[0].process.fs.h2turbine_props.oxygen.cp_mol_ig_comp_coeff_E/(0.001*(kK/K)*blocks[0].process.fs.mixer.purchased_hydrogen_feed_state[0.0].temperature) + blocks[0].process.fs.h2turbine_props.oxygen.cp_mol_ig_comp_coeff_F)) + blocks[0].process.fs.mixer.purchased_hydrogen_feed_state[0.0].mole_frac_phase_comp[Vap,water]*(1000.0*(K*kg*m**2/J/kK/s**2)*(blocks[0].process.fs.h2turbine_props.water.cp_mol_ig_comp_coeff_A*(0.001*(kK/K)*blocks[0].process.fs.mixer.purchased_hydrogen_feed_state[0.0].temperature) + 0.5*blocks[0].process.fs.h2turbine_props.water.cp_mol_ig_comp_coeff_B*(0.001*(kK/K)*blocks[0].process.fs.mixer.purchased_hydrogen_feed_state[0.0].temperature)**2 + 0.3333333333333333*blocks[0].process.fs.h2turbine_props.water.cp_mol_ig_comp_coeff_C*(0.001*(kK/K)*blocks[0].process.fs.mixer.purchased_hydrogen_feed_state[0.0].temperature)**3 + 0.25*blocks[0].process.fs.h2turbine_props.water.cp_mol_ig_comp_coeff_D*(0.001*(kK/K)*blocks[0].process.fs.mixer.purchased_hydrogen_feed_state[0.0].temperature)**4 - blocks[0].process.fs.h2turbine_props.water.cp_mol_ig_comp_coeff_E/(0.001*(kK/K)*blocks[0].process.fs.mixer.purchased_hydrogen_feed_state[0.0].temperature) + blocks[0].process.fs.h2turbine_props.water.cp_mol_ig_comp_coeff_F)) + blocks[0].process.fs.mixer.purchased_hydrogen_feed_state[0.0].mole_frac_phase_comp[Vap,argon]*(1000.0*(K*kg*m**2/J/kK/s**2)*(blocks[0].process.fs.h2turbine_props.argon.cp_mol_ig_comp_coeff_A*(0.001*(kK/K)*blocks[0].process.fs.mixer.purchased_hydrogen_feed_state[0.0].temperature) + 0.5*blocks[0].process.fs.h2turbine_props.argon.cp_mol_ig_comp_coeff_B*(0.001*(kK/K)*blocks[0].process.fs.mixer.purchased_hydrogen_feed_state[0.0].temperature)**2 + 0.3333333333333333*blocks[0].process.fs.h2turbine_props.argon.cp_mol_ig_comp_coeff_C*(0.001*(kK/K)*blocks[0].process.fs.mixer.purchased_hydrogen_feed_state[0.0].temperature)**3 + 0.25*blocks[0].process.fs.h2turbine_props.argon.cp_mol_ig_comp_coeff_D*(0.001*(kK/K)*blocks[0].process.fs.mixer.purchased_hydrogen_feed_state[0.0].temperature)**4 - blocks[0].process.fs.h2turbine_props.argon.cp_mol_ig_comp_coeff_E/(0.001*(kK/K)*blocks[0].process.fs.mixer.purchased_hydrogen_feed_state[0.0].temperature) + blocks[0].process.fs.h2turbine_props.argon.cp_mol_ig_comp_coeff_F)))) - (blocks[0].process.fs.mixer.mixed_state[0.0].flow_mol_phase[Vap]*(blocks[0].process.fs.mixer.mixed_state[0.0].mole_frac_phase_comp[Vap,hydrogen]*(1000.0*(K*kg*m**2/J/kK/s**2)*(blocks[0].process.fs.h2turbine_props.hydrogen.cp_mol_ig_comp_coeff_A*(0.001*(kK/K)*blocks[0].process.fs.mixer.mixed_state[0.0].temperature) + 0.5*blocks[0].process.fs.h2turbine_props.hydrogen.cp_mol_ig_comp_coeff_B*(0.001*(kK/K)*blocks[0].process.fs.mixer.mixed_state[0.0].temperature)**2 + 0.3333333333333333*blocks[0].process.fs.h2turbine_props.hydrogen.cp_mol_ig_comp_coeff_C*(0.001*(kK/K)*blocks[0].process.fs.mixer.mixed_state[0.0].temperature)**3 + 0.25*blocks[0].process.fs.h2turbine_props.hydrogen.cp_mol_ig_comp_coeff_D*(0.001*(kK/K)*blocks[0].process.fs.mixer.mixed_state[0.0].temperature)**4 - blocks[0].process.fs.h2turbine_props.hydrogen.cp_mol_ig_comp_coeff_E/(0.001*(kK/K)*blocks[0].process.fs.mixer.mixed_state[0.0].temperature) + blocks[0].process.fs.h2turbine_props.hydrogen.cp_mol_ig_comp_coeff_F)) + blocks[0].process.fs.mixer.mixed_state[0.0].mole_frac_phase_comp[Vap,nitrogen]*(1000.0*(K*kg*m**2/J/kK/s**2)*(blocks[0].process.fs.h2turbine_props.nitrogen.cp_mol_ig_comp_coeff_A*(0.001*(kK/K)*blocks[0].process.fs.mixer.mixed_state[0.0].temperature) + 0.5*blocks[0].process.fs.h2turbine_props.nitrogen.cp_mol_ig_comp_coeff_B*(0.001*(kK/K)*blocks[0].process.fs.mixer.mixed_state[0.0].temperature)**2 + 0.3333333333333333*blocks[0].process.fs.h2turbine_props.nitrogen.cp_mol_ig_comp_coeff_C*(0.001*(kK/K)*blocks[0].process.fs.mixer.mixed_state[0.0].temperature)**3 + 0.25*blocks[0].process.fs.h2turbine_props.nitrogen.cp_mol_ig_comp_coeff_D*(0.001*(kK/K)*blocks[0].process.fs.mixer.mixed_state[0.0].temperature)**4 - blocks[0].process.fs.h2turbine_props.nitrogen.cp_mol_ig_comp_coeff_E/(0.001*(kK/K)*blocks[0].process.fs.mixer.mixed_state[0.0].temperature) + blocks[0].process.fs.h2turbine_props.nitrogen.cp_mol_ig_comp_coeff_F)) + blocks[0].process.fs.mixer.mixed_state[0.0].mole_frac_phase_comp[Vap,oxygen]*(1000.0*(K*kg*m**2/J/kK/s**2)*(blocks[0].process.fs.h2turbine_props.oxygen.cp_mol_ig_comp_coeff_A*(0.001*(kK/K)*blocks[0].process.fs.mixer.mixed_state[0.0].temperature) + 0.5*blocks[0].process.fs.h2turbine_props.oxygen.cp_mol_ig_comp_coeff_B*(0.001*(kK/K)*blocks[0].process.fs.mixer.mixed_state[0.0].temperature)**2 + 0.3333333333333333*blocks[0].process.fs.h2turbine_props.oxygen.cp_mol_ig_comp_coeff_C*(0.001*(kK/K)*blocks[0].process.fs.mixer.mixed_state[0.0].temperature)**3 + 0.25*blocks[0].process.fs.h2turbine_props.oxygen.cp_mol_ig_comp_coeff_D*(0.001*(kK/K)*blocks[0].process.fs.mixer.mixed_state[0.0].temperature)**4 - blocks[0].process.fs.h2turbine_props.oxygen.cp_mol_ig_comp_coeff_E/(0.001*(kK/K)*blocks[0].process.fs.mixer.mixed_state[0.0].temperature) + blocks[0].process.fs.h2turbine_props.oxygen.cp_mol_ig_comp_coeff_F)) + blocks[0].process.fs.mixer.mixed_state[0.0].mole_frac_phase_comp[Vap,water]*(1000.0*(K*kg*m**2/J/kK/s**2)*(blocks[0].process.fs.h2turbine_props.water.cp_mol_ig_comp_coeff_A*(0.001*(kK/K)*blocks[0].process.fs.mixer.mixed_state[0.0].temperature) + 0.5*blocks[0].process.fs.h2turbine_props.water.cp_mol_ig_comp_coeff_B*(0.001*(kK/K)*blocks[0].process.fs.mixer.mixed_state[0.0].temperature)**2 + 0.3333333333333333*blocks[0].process.fs.h2turbine_props.water.cp_mol_ig_comp_coeff_C*(0.001*(kK/K)*blocks[0].process.fs.mixer.mixed_state[0.0].temperature)**3 + 0.25*blocks[0].process.fs.h2turbine_props.water.cp_mol_ig_comp_coeff_D*(0.001*(kK/K)*blocks[0].process.fs.mixer.mixed_state[0.0].temperature)**4 - blocks[0].process.fs.h2turbine_props.water.cp_mol_ig_comp_coeff_E/(0.001*(kK/K)*blocks[0].process.fs.mixer.mixed_state[0.0].temperature) + blocks[0].process.fs.h2turbine_props.water.cp_mol_ig_comp_coeff_F)) + blocks[0].process.fs.mixer.mixed_state[0.0].mole_frac_phase_comp[Vap,argon]*(1000.0*(K*kg*m**2/J/kK/s**2)*(blocks[0].process.fs.h2turbine_props.argon.cp_mol_ig_comp_coeff_A*(0.001*(kK/K)*blocks[0].process.fs.mixer.mixed_state[0.0].temperature) + 0.5*blocks[0].process.fs.h2turbine_props.argon.cp_mol_ig_comp_coeff_B*(0.001*(kK/K)*blocks[0].process.fs.mixer.mixed_state[0.0].temperature)**2 + 0.3333333333333333*blocks[0].process.fs.h2turbine_props.argon.cp_mol_ig_comp_coeff_C*(0.001*(kK/K)*blocks[0].process.fs.mixer.mixed_state[0.0].temperature)**3 + 0.25*blocks[0].process.fs.h2turbine_props.argon.cp_mol_ig_comp_coeff_D*(0.001*(kK/K)*blocks[0].process.fs.mixer.mixed_state[0.0].temperature)**4 - blocks[0].process.fs.h2turbine_props.argon.cp_mol_ig_comp_coeff_E/(0.001*(kK/K)*blocks[0].process.fs.mixer.mixed_state[0.0].temperature) + blocks[0].process.fs.h2turbine_props.argon.cp_mol_ig_comp_coeff_F)))))*0.01 : 0.0 : True variable lower value upper blocks[0].process.fs.mixer.air_feed_state[0.0].flow_mol_phase[Vap] 0 0.010761467890991586 10000 blocks[0].process.fs.mixer.hydrogen_feed_state[0.0].flow_mol_phase[Vap] 0 0.00999999 10000 blocks[0].process.fs.mixer.purchased_hydrogen_feed_state[0.0].flow_mol_phase[Vap] 0 0.00999999 10000 blocks[0].process.fs.mixer.mixed_state[0.0].flow_mol_phase[Vap] 0 0.011761604312087458 10000 blocks[0].process.fs.mixer.air_feed_state[0.0].mole_frac_phase_comp[Vap,hydrogen] 1e-20 0.00999999 1.001 blocks[0].process.fs.mixer.air_feed_state[0.0].mole_frac_phase_comp[Vap,nitrogen] 1e-20 0.7672 1.001 blocks[0].process.fs.mixer.air_feed_state[0.0].mole_frac_phase_comp[Vap,oxygen] 1e-20 0.2054 1.001 blocks[0].process.fs.mixer.air_feed_state[0.0].mole_frac_phase_comp[Vap,water] 1e-20 0.024 1.001 blocks[0].process.fs.mixer.air_feed_state[0.0].mole_frac_phase_comp[Vap,argon] 1e-20 0.00999999 1.001 blocks[0].process.fs.mixer.hydrogen_feed_state[0.0].mole_frac_phase_comp[Vap,hydrogen] 1e-20 0.99 1.001 blocks[0].process.fs.mixer.hydrogen_feed_state[0.0].mole_frac_phase_comp[Vap,nitrogen] 1e-20 0.00999999 1.001 blocks[0].process.fs.mixer.hydrogen_feed_state[0.0].mole_frac_phase_comp[Vap,oxygen] 1e-20 0.00999999 1.001 blocks[0].process.fs.mixer.hydrogen_feed_state[0.0].mole_frac_phase_comp[Vap,water] 1e-20 0.00999999 1.001 blocks[0].process.fs.mixer.hydrogen_feed_state[0.0].mole_frac_phase_comp[Vap,argon] 1e-20 0.00999999 1.001 blocks[0].process.fs.mixer.purchased_hydrogen_feed_state[0.0].mole_frac_phase_comp[Vap,hydrogen] 1e-20 0.99 1.001 blocks[0].process.fs.mixer.purchased_hydrogen_feed_state[0.0].mole_frac_phase_comp[Vap,nitrogen] 1e-20 0.00999999 1.001 blocks[0].process.fs.mixer.purchased_hydrogen_feed_state[0.0].mole_frac_phase_comp[Vap,oxygen] 1e-20 0.00999999 1.001 blocks[0].process.fs.mixer.purchased_hydrogen_feed_state[0.0].mole_frac_phase_comp[Vap,water] 1e-20 0.00999999 1.001 blocks[0].process.fs.mixer.purchased_hydrogen_feed_state[0.0].mole_frac_phase_comp[Vap,argon] 1e-20 0.00999999 1.001 blocks[0].process.fs.mixer.mixed_state[0.0].mole_frac_phase_comp[Vap,hydrogen] 1e-20 0.08436666666666666 1.001 blocks[0].process.fs.mixer.mixed_state[0.0].mole_frac_phase_comp[Vap,nitrogen] 1e-20 0.7021744897959183 1.001 blocks[0].process.fs.mixer.mixed_state[0.0].mole_frac_phase_comp[Vap,oxygen] 1e-20 0.18814659863945582 1.001 blocks[0].process.fs.mixer.mixed_state[0.0].mole_frac_phase_comp[Vap,water] 1e-20 0.022171768707482994 1.001 blocks[0].process.fs.mixer.mixed_state[0.0].mole_frac_phase_comp[Vap,argon] 1e-20 0.00999999 1.001 blocks[0].process.fs.h2turbine_props.hydrogen.cp_mol_ig_comp_coeff_F None -0.009980797000000001 None blocks[0].process.fs.h2turbine_props.nitrogen.cp_mol_ig_comp_coeff_F None -0.0049352020000000005 None blocks[0].process.fs.h2turbine_props.oxygen.cp_mol_ig_comp_coeff_F None -0.008903471 None blocks[0].process.fs.h2turbine_props.water.cp_mol_ig_comp_coeff_F None -0.250881 None blocks[0].process.fs.h2turbine_props.argon.cp_mol_ig_comp_coeff_F None -0.00619735 None blocks[0].process.fs.h2turbine_props.hydrogen.cp_mol_ig_comp_coeff_A None 33.066178 None blocks[0].process.fs.h2turbine_props.nitrogen.cp_mol_ig_comp_coeff_A None 19.50583 None blocks[0].process.fs.h2turbine_props.oxygen.cp_mol_ig_comp_coeff_A None 31.32234 None blocks[0].process.fs.h2turbine_props.water.cp_mol_ig_comp_coeff_A None 30.092 None blocks[0].process.fs.h2turbine_props.argon.cp_mol_ig_comp_coeff_A None 20.786 None blocks[0].process.fs.mixer.air_feed_state[0.0].temperature 273.15 300 2000 blocks[0].process.fs.h2turbine_props.hydrogen.cp_mol_ig_comp_coeff_B None -11.363417 None blocks[0].process.fs.h2turbine_props.hydrogen.cp_mol_ig_comp_coeff_C None 11.432816 None blocks[0].process.fs.h2turbine_props.hydrogen.cp_mol_ig_comp_coeff_D None -2.772874 None blocks[0].process.fs.h2turbine_props.hydrogen.cp_mol_ig_comp_coeff_E None -0.158558 None blocks[0].process.fs.h2turbine_props.nitrogen.cp_mol_ig_comp_coeff_B None 19.88705 None blocks[0].process.fs.h2turbine_props.nitrogen.cp_mol_ig_comp_coeff_C None -8.598535 None blocks[0].process.fs.h2turbine_props.nitrogen.cp_mol_ig_comp_coeff_D None 1.369784 None blocks[0].process.fs.h2turbine_props.nitrogen.cp_mol_ig_comp_coeff_E None 0.527601 None blocks[0].process.fs.h2turbine_props.oxygen.cp_mol_ig_comp_coeff_B None -20.23531 None blocks[0].process.fs.h2turbine_props.oxygen.cp_mol_ig_comp_coeff_C None 57.86644 None blocks[0].process.fs.h2turbine_props.oxygen.cp_mol_ig_comp_coeff_D None -36.50624 None blocks[0].process.fs.h2turbine_props.oxygen.cp_mol_ig_comp_coeff_E None -0.007374 None blocks[0].process.fs.h2turbine_props.water.cp_mol_ig_comp_coeff_B None 6.832514 None blocks[0].process.fs.h2turbine_props.water.cp_mol_ig_comp_coeff_C None 6.793435 None blocks[0].process.fs.h2turbine_props.water.cp_mol_ig_comp_coeff_D None -2.53448 None blocks[0].process.fs.h2turbine_props.water.cp_mol_ig_comp_coeff_E None 0.082139 None blocks[0].process.fs.h2turbine_props.argon.cp_mol_ig_comp_coeff_B None 2.82e-07 None blocks[0].process.fs.h2turbine_props.argon.cp_mol_ig_comp_coeff_C None -1.46e-07 None blocks[0].process.fs.h2turbine_props.argon.cp_mol_ig_comp_coeff_D None 1.092e-08 None blocks[0].process.fs.h2turbine_props.argon.cp_mol_ig_comp_coeff_E None -3.66e-08 None blocks[0].process.fs.mixer.hydrogen_feed_state[0.0].temperature 273.15 299.9999999999998 2000 blocks[0].process.fs.mixer.purchased_hydrogen_feed_state[0.0].temperature 273.15 300 2000 blocks[0].process.fs.mixer.mixed_state[0.0].temperature 273.15 299.99999999999994 2000 count = 43 |residual| = 1.9528469269412108 {Member of enthalpy_mixing_equations} : Energy balances Size=1, Index=blocks[1].process.fs._time, Active=True Key : Lower : Body : Upper : Active 0.0 : 0.0 : ((blocks[1].process.fs.mixer.air_feed_state[0.0].flow_mol_phase[Vap]*(blocks[1].process.fs.mixer.air_feed_state[0.0].mole_frac_phase_comp[Vap,hydrogen]*(1000.0*(K*kg*m**2/J/kK/s**2)*(blocks[1].process.fs.h2turbine_props.hydrogen.cp_mol_ig_comp_coeff_A*(0.001*(kK/K)*blocks[1].process.fs.mixer.air_feed_state[0.0].temperature) + 0.5*blocks[1].process.fs.h2turbine_props.hydrogen.cp_mol_ig_comp_coeff_B*(0.001*(kK/K)*blocks[1].process.fs.mixer.air_feed_state[0.0].temperature)**2 + 0.3333333333333333*blocks[1].process.fs.h2turbine_props.hydrogen.cp_mol_ig_comp_coeff_C*(0.001*(kK/K)*blocks[1].process.fs.mixer.air_feed_state[0.0].temperature)**3 + 0.25*blocks[1].process.fs.h2turbine_props.hydrogen.cp_mol_ig_comp_coeff_D*(0.001*(kK/K)*blocks[1].process.fs.mixer.air_feed_state[0.0].temperature)**4 - blocks[1].process.fs.h2turbine_props.hydrogen.cp_mol_ig_comp_coeff_E/(0.001*(kK/K)*blocks[1].process.fs.mixer.air_feed_state[0.0].temperature) + blocks[1].process.fs.h2turbine_props.hydrogen.cp_mol_ig_comp_coeff_F)) + blocks[1].process.fs.mixer.air_feed_state[0.0].mole_frac_phase_comp[Vap,nitrogen]*(1000.0*(K*kg*m**2/J/kK/s**2)*(blocks[1].process.fs.h2turbine_props.nitrogen.cp_mol_ig_comp_coeff_A*(0.001*(kK/K)*blocks[1].process.fs.mixer.air_feed_state[0.0].temperature) + 0.5*blocks[1].process.fs.h2turbine_props.nitrogen.cp_mol_ig_comp_coeff_B*(0.001*(kK/K)*blocks[1].process.fs.mixer.air_feed_state[0.0].temperature)**2 + 0.3333333333333333*blocks[1].process.fs.h2turbine_props.nitrogen.cp_mol_ig_comp_coeff_C*(0.001*(kK/K)*blocks[1].process.fs.mixer.air_feed_state[0.0].temperature)**3 + 0.25*blocks[1].process.fs.h2turbine_props.nitrogen.cp_mol_ig_comp_coeff_D*(0.001*(kK/K)*blocks[1].process.fs.mixer.air_feed_state[0.0].temperature)**4 - blocks[1].process.fs.h2turbine_props.nitrogen.cp_mol_ig_comp_coeff_E/(0.001*(kK/K)*blocks[1].process.fs.mixer.air_feed_state[0.0].temperature) + blocks[1].process.fs.h2turbine_props.nitrogen.cp_mol_ig_comp_coeff_F)) + blocks[1].process.fs.mixer.air_feed_state[0.0].mole_frac_phase_comp[Vap,oxygen]*(1000.0*(K*kg*m**2/J/kK/s**2)*(blocks[1].process.fs.h2turbine_props.oxygen.cp_mol_ig_comp_coeff_A*(0.001*(kK/K)*blocks[1].process.fs.mixer.air_feed_state[0.0].temperature) + 0.5*blocks[1].process.fs.h2turbine_props.oxygen.cp_mol_ig_comp_coeff_B*(0.001*(kK/K)*blocks[1].process.fs.mixer.air_feed_state[0.0].temperature)**2 + 0.3333333333333333*blocks[1].process.fs.h2turbine_props.oxygen.cp_mol_ig_comp_coeff_C*(0.001*(kK/K)*blocks[1].process.fs.mixer.air_feed_state[0.0].temperature)**3 + 0.25*blocks[1].process.fs.h2turbine_props.oxygen.cp_mol_ig_comp_coeff_D*(0.001*(kK/K)*blocks[1].process.fs.mixer.air_feed_state[0.0].temperature)**4 - blocks[1].process.fs.h2turbine_props.oxygen.cp_mol_ig_comp_coeff_E/(0.001*(kK/K)*blocks[1].process.fs.mixer.air_feed_state[0.0].temperature) + blocks[1].process.fs.h2turbine_props.oxygen.cp_mol_ig_comp_coeff_F)) + blocks[1].process.fs.mixer.air_feed_state[0.0].mole_frac_phase_comp[Vap,water]*(1000.0*(K*kg*m**2/J/kK/s**2)*(blocks[1].process.fs.h2turbine_props.water.cp_mol_ig_comp_coeff_A*(0.001*(kK/K)*blocks[1].process.fs.mixer.air_feed_state[0.0].temperature) + 0.5*blocks[1].process.fs.h2turbine_props.water.cp_mol_ig_comp_coeff_B*(0.001*(kK/K)*blocks[1].process.fs.mixer.air_feed_state[0.0].temperature)**2 + 0.3333333333333333*blocks[1].process.fs.h2turbine_props.water.cp_mol_ig_comp_coeff_C*(0.001*(kK/K)*blocks[1].process.fs.mixer.air_feed_state[0.0].temperature)**3 + 0.25*blocks[1].process.fs.h2turbine_props.water.cp_mol_ig_comp_coeff_D*(0.001*(kK/K)*blocks[1].process.fs.mixer.air_feed_state[0.0].temperature)**4 - blocks[1].process.fs.h2turbine_props.water.cp_mol_ig_comp_coeff_E/(0.001*(kK/K)*blocks[1].process.fs.mixer.air_feed_state[0.0].temperature) + blocks[1].process.fs.h2turbine_props.water.cp_mol_ig_comp_coeff_F)) + blocks[1].process.fs.mixer.air_feed_state[0.0].mole_frac_phase_comp[Vap,argon]*(1000.0*(K*kg*m**2/J/kK/s**2)*(blocks[1].process.fs.h2turbine_props.argon.cp_mol_ig_comp_coeff_A*(0.001*(kK/K)*blocks[1].process.fs.mixer.air_feed_state[0.0].temperature) + 0.5*blocks[1].process.fs.h2turbine_props.argon.cp_mol_ig_comp_coeff_B*(0.001*(kK/K)*blocks[1].process.fs.mixer.air_feed_state[0.0].temperature)**2 + 0.3333333333333333*blocks[1].process.fs.h2turbine_props.argon.cp_mol_ig_comp_coeff_C*(0.001*(kK/K)*blocks[1].process.fs.mixer.air_feed_state[0.0].temperature)**3 + 0.25*blocks[1].process.fs.h2turbine_props.argon.cp_mol_ig_comp_coeff_D*(0.001*(kK/K)*blocks[1].process.fs.mixer.air_feed_state[0.0].temperature)**4 - blocks[1].process.fs.h2turbine_props.argon.cp_mol_ig_comp_coeff_E/(0.001*(kK/K)*blocks[1].process.fs.mixer.air_feed_state[0.0].temperature) + blocks[1].process.fs.h2turbine_props.argon.cp_mol_ig_comp_coeff_F)))) + (blocks[1].process.fs.mixer.hydrogen_feed_state[0.0].flow_mol_phase[Vap]*(blocks[1].process.fs.mixer.hydrogen_feed_state[0.0].mole_frac_phase_comp[Vap,hydrogen]*(1000.0*(K*kg*m**2/J/kK/s**2)*(blocks[1].process.fs.h2turbine_props.hydrogen.cp_mol_ig_comp_coeff_A*(0.001*(kK/K)*blocks[1].process.fs.mixer.hydrogen_feed_state[0.0].temperature) + 0.5*blocks[1].process.fs.h2turbine_props.hydrogen.cp_mol_ig_comp_coeff_B*(0.001*(kK/K)*blocks[1].process.fs.mixer.hydrogen_feed_state[0.0].temperature)**2 + 0.3333333333333333*blocks[1].process.fs.h2turbine_props.hydrogen.cp_mol_ig_comp_coeff_C*(0.001*(kK/K)*blocks[1].process.fs.mixer.hydrogen_feed_state[0.0].temperature)**3 + 0.25*blocks[1].process.fs.h2turbine_props.hydrogen.cp_mol_ig_comp_coeff_D*(0.001*(kK/K)*blocks[1].process.fs.mixer.hydrogen_feed_state[0.0].temperature)**4 - blocks[1].process.fs.h2turbine_props.hydrogen.cp_mol_ig_comp_coeff_E/(0.001*(kK/K)*blocks[1].process.fs.mixer.hydrogen_feed_state[0.0].temperature) + blocks[1].process.fs.h2turbine_props.hydrogen.cp_mol_ig_comp_coeff_F)) + blocks[1].process.fs.mixer.hydrogen_feed_state[0.0].mole_frac_phase_comp[Vap,nitrogen]*(1000.0*(K*kg*m**2/J/kK/s**2)*(blocks[1].process.fs.h2turbine_props.nitrogen.cp_mol_ig_comp_coeff_A*(0.001*(kK/K)*blocks[1].process.fs.mixer.hydrogen_feed_state[0.0].temperature) + 0.5*blocks[1].process.fs.h2turbine_props.nitrogen.cp_mol_ig_comp_coeff_B*(0.001*(kK/K)*blocks[1].process.fs.mixer.hydrogen_feed_state[0.0].temperature)**2 + 0.3333333333333333*blocks[1].process.fs.h2turbine_props.nitrogen.cp_mol_ig_comp_coeff_C*(0.001*(kK/K)*blocks[1].process.fs.mixer.hydrogen_feed_state[0.0].temperature)**3 + 0.25*blocks[1].process.fs.h2turbine_props.nitrogen.cp_mol_ig_comp_coeff_D*(0.001*(kK/K)*blocks[1].process.fs.mixer.hydrogen_feed_state[0.0].temperature)**4 - blocks[1].process.fs.h2turbine_props.nitrogen.cp_mol_ig_comp_coeff_E/(0.001*(kK/K)*blocks[1].process.fs.mixer.hydrogen_feed_state[0.0].temperature) + blocks[1].process.fs.h2turbine_props.nitrogen.cp_mol_ig_comp_coeff_F)) + blocks[1].process.fs.mixer.hydrogen_feed_state[0.0].mole_frac_phase_comp[Vap,oxygen]*(1000.0*(K*kg*m**2/J/kK/s**2)*(blocks[1].process.fs.h2turbine_props.oxygen.cp_mol_ig_comp_coeff_A*(0.001*(kK/K)*blocks[1].process.fs.mixer.hydrogen_feed_state[0.0].temperature) + 0.5*blocks[1].process.fs.h2turbine_props.oxygen.cp_mol_ig_comp_coeff_B*(0.001*(kK/K)*blocks[1].process.fs.mixer.hydrogen_feed_state[0.0].temperature)**2 + 0.3333333333333333*blocks[1].process.fs.h2turbine_props.oxygen.cp_mol_ig_comp_coeff_C*(0.001*(kK/K)*blocks[1].process.fs.mixer.hydrogen_feed_state[0.0].temperature)**3 + 0.25*blocks[1].process.fs.h2turbine_props.oxygen.cp_mol_ig_comp_coeff_D*(0.001*(kK/K)*blocks[1].process.fs.mixer.hydrogen_feed_state[0.0].temperature)**4 - blocks[1].process.fs.h2turbine_props.oxygen.cp_mol_ig_comp_coeff_E/(0.001*(kK/K)*blocks[1].process.fs.mixer.hydrogen_feed_state[0.0].temperature) + blocks[1].process.fs.h2turbine_props.oxygen.cp_mol_ig_comp_coeff_F)) + blocks[1].process.fs.mixer.hydrogen_feed_state[0.0].mole_frac_phase_comp[Vap,water]*(1000.0*(K*kg*m**2/J/kK/s**2)*(blocks[1].process.fs.h2turbine_props.water.cp_mol_ig_comp_coeff_A*(0.001*(kK/K)*blocks[1].process.fs.mixer.hydrogen_feed_state[0.0].temperature) + 0.5*blocks[1].process.fs.h2turbine_props.water.cp_mol_ig_comp_coeff_B*(0.001*(kK/K)*blocks[1].process.fs.mixer.hydrogen_feed_state[0.0].temperature)**2 + 0.3333333333333333*blocks[1].process.fs.h2turbine_props.water.cp_mol_ig_comp_coeff_C*(0.001*(kK/K)*blocks[1].process.fs.mixer.hydrogen_feed_state[0.0].temperature)**3 + 0.25*blocks[1].process.fs.h2turbine_props.water.cp_mol_ig_comp_coeff_D*(0.001*(kK/K)*blocks[1].process.fs.mixer.hydrogen_feed_state[0.0].temperature)**4 - blocks[1].process.fs.h2turbine_props.water.cp_mol_ig_comp_coeff_E/(0.001*(kK/K)*blocks[1].process.fs.mixer.hydrogen_feed_state[0.0].temperature) + blocks[1].process.fs.h2turbine_props.water.cp_mol_ig_comp_coeff_F)) + blocks[1].process.fs.mixer.hydrogen_feed_state[0.0].mole_frac_phase_comp[Vap,argon]*(1000.0*(K*kg*m**2/J/kK/s**2)*(blocks[1].process.fs.h2turbine_props.argon.cp_mol_ig_comp_coeff_A*(0.001*(kK/K)*blocks[1].process.fs.mixer.hydrogen_feed_state[0.0].temperature) + 0.5*blocks[1].process.fs.h2turbine_props.argon.cp_mol_ig_comp_coeff_B*(0.001*(kK/K)*blocks[1].process.fs.mixer.hydrogen_feed_state[0.0].temperature)**2 + 0.3333333333333333*blocks[1].process.fs.h2turbine_props.argon.cp_mol_ig_comp_coeff_C*(0.001*(kK/K)*blocks[1].process.fs.mixer.hydrogen_feed_state[0.0].temperature)**3 + 0.25*blocks[1].process.fs.h2turbine_props.argon.cp_mol_ig_comp_coeff_D*(0.001*(kK/K)*blocks[1].process.fs.mixer.hydrogen_feed_state[0.0].temperature)**4 - blocks[1].process.fs.h2turbine_props.argon.cp_mol_ig_comp_coeff_E/(0.001*(kK/K)*blocks[1].process.fs.mixer.hydrogen_feed_state[0.0].temperature) + blocks[1].process.fs.h2turbine_props.argon.cp_mol_ig_comp_coeff_F)))) + (blocks[1].process.fs.mixer.purchased_hydrogen_feed_state[0.0].flow_mol_phase[Vap]*(blocks[1].process.fs.mixer.purchased_hydrogen_feed_state[0.0].mole_frac_phase_comp[Vap,hydrogen]*(1000.0*(K*kg*m**2/J/kK/s**2)*(blocks[1].process.fs.h2turbine_props.hydrogen.cp_mol_ig_comp_coeff_A*(0.001*(kK/K)*blocks[1].process.fs.mixer.purchased_hydrogen_feed_state[0.0].temperature) + 0.5*blocks[1].process.fs.h2turbine_props.hydrogen.cp_mol_ig_comp_coeff_B*(0.001*(kK/K)*blocks[1].process.fs.mixer.purchased_hydrogen_feed_state[0.0].temperature)**2 + 0.3333333333333333*blocks[1].process.fs.h2turbine_props.hydrogen.cp_mol_ig_comp_coeff_C*(0.001*(kK/K)*blocks[1].process.fs.mixer.purchased_hydrogen_feed_state[0.0].temperature)**3 + 0.25*blocks[1].process.fs.h2turbine_props.hydrogen.cp_mol_ig_comp_coeff_D*(0.001*(kK/K)*blocks[1].process.fs.mixer.purchased_hydrogen_feed_state[0.0].temperature)**4 - blocks[1].process.fs.h2turbine_props.hydrogen.cp_mol_ig_comp_coeff_E/(0.001*(kK/K)*blocks[1].process.fs.mixer.purchased_hydrogen_feed_state[0.0].temperature) + blocks[1].process.fs.h2turbine_props.hydrogen.cp_mol_ig_comp_coeff_F)) + blocks[1].process.fs.mixer.purchased_hydrogen_feed_state[0.0].mole_frac_phase_comp[Vap,nitrogen]*(1000.0*(K*kg*m**2/J/kK/s**2)*(blocks[1].process.fs.h2turbine_props.nitrogen.cp_mol_ig_comp_coeff_A*(0.001*(kK/K)*blocks[1].process.fs.mixer.purchased_hydrogen_feed_state[0.0].temperature) + 0.5*blocks[1].process.fs.h2turbine_props.nitrogen.cp_mol_ig_comp_coeff_B*(0.001*(kK/K)*blocks[1].process.fs.mixer.purchased_hydrogen_feed_state[0.0].temperature)**2 + 0.3333333333333333*blocks[1].process.fs.h2turbine_props.nitrogen.cp_mol_ig_comp_coeff_C*(0.001*(kK/K)*blocks[1].process.fs.mixer.purchased_hydrogen_feed_state[0.0].temperature)**3 + 0.25*blocks[1].process.fs.h2turbine_props.nitrogen.cp_mol_ig_comp_coeff_D*(0.001*(kK/K)*blocks[1].process.fs.mixer.purchased_hydrogen_feed_state[0.0].temperature)**4 - blocks[1].process.fs.h2turbine_props.nitrogen.cp_mol_ig_comp_coeff_E/(0.001*(kK/K)*blocks[1].process.fs.mixer.purchased_hydrogen_feed_state[0.0].temperature) + blocks[1].process.fs.h2turbine_props.nitrogen.cp_mol_ig_comp_coeff_F)) + blocks[1].process.fs.mixer.purchased_hydrogen_feed_state[0.0].mole_frac_phase_comp[Vap,oxygen]*(1000.0*(K*kg*m**2/J/kK/s**2)*(blocks[1].process.fs.h2turbine_props.oxygen.cp_mol_ig_comp_coeff_A*(0.001*(kK/K)*blocks[1].process.fs.mixer.purchased_hydrogen_feed_state[0.0].temperature) + 0.5*blocks[1].process.fs.h2turbine_props.oxygen.cp_mol_ig_comp_coeff_B*(0.001*(kK/K)*blocks[1].process.fs.mixer.purchased_hydrogen_feed_state[0.0].temperature)**2 + 0.3333333333333333*blocks[1].process.fs.h2turbine_props.oxygen.cp_mol_ig_comp_coeff_C*(0.001*(kK/K)*blocks[1].process.fs.mixer.purchased_hydrogen_feed_state[0.0].temperature)**3 + 0.25*blocks[1].process.fs.h2turbine_props.oxygen.cp_mol_ig_comp_coeff_D*(0.001*(kK/K)*blocks[1].process.fs.mixer.purchased_hydrogen_feed_state[0.0].temperature)**4 - blocks[1].process.fs.h2turbine_props.oxygen.cp_mol_ig_comp_coeff_E/(0.001*(kK/K)*blocks[1].process.fs.mixer.purchased_hydrogen_feed_state[0.0].temperature) + blocks[1].process.fs.h2turbine_props.oxygen.cp_mol_ig_comp_coeff_F)) + blocks[1].process.fs.mixer.purchased_hydrogen_feed_state[0.0].mole_frac_phase_comp[Vap,water]*(1000.0*(K*kg*m**2/J/kK/s**2)*(blocks[1].process.fs.h2turbine_props.water.cp_mol_ig_comp_coeff_A*(0.001*(kK/K)*blocks[1].process.fs.mixer.purchased_hydrogen_feed_state[0.0].temperature) + 0.5*blocks[1].process.fs.h2turbine_props.water.cp_mol_ig_comp_coeff_B*(0.001*(kK/K)*blocks[1].process.fs.mixer.purchased_hydrogen_feed_state[0.0].temperature)**2 + 0.3333333333333333*blocks[1].process.fs.h2turbine_props.water.cp_mol_ig_comp_coeff_C*(0.001*(kK/K)*blocks[1].process.fs.mixer.purchased_hydrogen_feed_state[0.0].temperature)**3 + 0.25*blocks[1].process.fs.h2turbine_props.water.cp_mol_ig_comp_coeff_D*(0.001*(kK/K)*blocks[1].process.fs.mixer.purchased_hydrogen_feed_state[0.0].temperature)**4 - blocks[1].process.fs.h2turbine_props.water.cp_mol_ig_comp_coeff_E/(0.001*(kK/K)*blocks[1].process.fs.mixer.purchased_hydrogen_feed_state[0.0].temperature) + blocks[1].process.fs.h2turbine_props.water.cp_mol_ig_comp_coeff_F)) + blocks[1].process.fs.mixer.purchased_hydrogen_feed_state[0.0].mole_frac_phase_comp[Vap,argon]*(1000.0*(K*kg*m**2/J/kK/s**2)*(blocks[1].process.fs.h2turbine_props.argon.cp_mol_ig_comp_coeff_A*(0.001*(kK/K)*blocks[1].process.fs.mixer.purchased_hydrogen_feed_state[0.0].temperature) + 0.5*blocks[1].process.fs.h2turbine_props.argon.cp_mol_ig_comp_coeff_B*(0.001*(kK/K)*blocks[1].process.fs.mixer.purchased_hydrogen_feed_state[0.0].temperature)**2 + 0.3333333333333333*blocks[1].process.fs.h2turbine_props.argon.cp_mol_ig_comp_coeff_C*(0.001*(kK/K)*blocks[1].process.fs.mixer.purchased_hydrogen_feed_state[0.0].temperature)**3 + 0.25*blocks[1].process.fs.h2turbine_props.argon.cp_mol_ig_comp_coeff_D*(0.001*(kK/K)*blocks[1].process.fs.mixer.purchased_hydrogen_feed_state[0.0].temperature)**4 - blocks[1].process.fs.h2turbine_props.argon.cp_mol_ig_comp_coeff_E/(0.001*(kK/K)*blocks[1].process.fs.mixer.purchased_hydrogen_feed_state[0.0].temperature) + blocks[1].process.fs.h2turbine_props.argon.cp_mol_ig_comp_coeff_F)))) - (blocks[1].process.fs.mixer.mixed_state[0.0].flow_mol_phase[Vap]*(blocks[1].process.fs.mixer.mixed_state[0.0].mole_frac_phase_comp[Vap,hydrogen]*(1000.0*(K*kg*m**2/J/kK/s**2)*(blocks[1].process.fs.h2turbine_props.hydrogen.cp_mol_ig_comp_coeff_A*(0.001*(kK/K)*blocks[1].process.fs.mixer.mixed_state[0.0].temperature) + 0.5*blocks[1].process.fs.h2turbine_props.hydrogen.cp_mol_ig_comp_coeff_B*(0.001*(kK/K)*blocks[1].process.fs.mixer.mixed_state[0.0].temperature)**2 + 0.3333333333333333*blocks[1].process.fs.h2turbine_props.hydrogen.cp_mol_ig_comp_coeff_C*(0.001*(kK/K)*blocks[1].process.fs.mixer.mixed_state[0.0].temperature)**3 + 0.25*blocks[1].process.fs.h2turbine_props.hydrogen.cp_mol_ig_comp_coeff_D*(0.001*(kK/K)*blocks[1].process.fs.mixer.mixed_state[0.0].temperature)**4 - blocks[1].process.fs.h2turbine_props.hydrogen.cp_mol_ig_comp_coeff_E/(0.001*(kK/K)*blocks[1].process.fs.mixer.mixed_state[0.0].temperature) + blocks[1].process.fs.h2turbine_props.hydrogen.cp_mol_ig_comp_coeff_F)) + blocks[1].process.fs.mixer.mixed_state[0.0].mole_frac_phase_comp[Vap,nitrogen]*(1000.0*(K*kg*m**2/J/kK/s**2)*(blocks[1].process.fs.h2turbine_props.nitrogen.cp_mol_ig_comp_coeff_A*(0.001*(kK/K)*blocks[1].process.fs.mixer.mixed_state[0.0].temperature) + 0.5*blocks[1].process.fs.h2turbine_props.nitrogen.cp_mol_ig_comp_coeff_B*(0.001*(kK/K)*blocks[1].process.fs.mixer.mixed_state[0.0].temperature)**2 + 0.3333333333333333*blocks[1].process.fs.h2turbine_props.nitrogen.cp_mol_ig_comp_coeff_C*(0.001*(kK/K)*blocks[1].process.fs.mixer.mixed_state[0.0].temperature)**3 + 0.25*blocks[1].process.fs.h2turbine_props.nitrogen.cp_mol_ig_comp_coeff_D*(0.001*(kK/K)*blocks[1].process.fs.mixer.mixed_state[0.0].temperature)**4 - blocks[1].process.fs.h2turbine_props.nitrogen.cp_mol_ig_comp_coeff_E/(0.001*(kK/K)*blocks[1].process.fs.mixer.mixed_state[0.0].temperature) + blocks[1].process.fs.h2turbine_props.nitrogen.cp_mol_ig_comp_coeff_F)) + blocks[1].process.fs.mixer.mixed_state[0.0].mole_frac_phase_comp[Vap,oxygen]*(1000.0*(K*kg*m**2/J/kK/s**2)*(blocks[1].process.fs.h2turbine_props.oxygen.cp_mol_ig_comp_coeff_A*(0.001*(kK/K)*blocks[1].process.fs.mixer.mixed_state[0.0].temperature) + 0.5*blocks[1].process.fs.h2turbine_props.oxygen.cp_mol_ig_comp_coeff_B*(0.001*(kK/K)*blocks[1].process.fs.mixer.mixed_state[0.0].temperature)**2 + 0.3333333333333333*blocks[1].process.fs.h2turbine_props.oxygen.cp_mol_ig_comp_coeff_C*(0.001*(kK/K)*blocks[1].process.fs.mixer.mixed_state[0.0].temperature)**3 + 0.25*blocks[1].process.fs.h2turbine_props.oxygen.cp_mol_ig_comp_coeff_D*(0.001*(kK/K)*blocks[1].process.fs.mixer.mixed_state[0.0].temperature)**4 - blocks[1].process.fs.h2turbine_props.oxygen.cp_mol_ig_comp_coeff_E/(0.001*(kK/K)*blocks[1].process.fs.mixer.mixed_state[0.0].temperature) + blocks[1].process.fs.h2turbine_props.oxygen.cp_mol_ig_comp_coeff_F)) + blocks[1].process.fs.mixer.mixed_state[0.0].mole_frac_phase_comp[Vap,water]*(1000.0*(K*kg*m**2/J/kK/s**2)*(blocks[1].process.fs.h2turbine_props.water.cp_mol_ig_comp_coeff_A*(0.001*(kK/K)*blocks[1].process.fs.mixer.mixed_state[0.0].temperature) + 0.5*blocks[1].process.fs.h2turbine_props.water.cp_mol_ig_comp_coeff_B*(0.001*(kK/K)*blocks[1].process.fs.mixer.mixed_state[0.0].temperature)**2 + 0.3333333333333333*blocks[1].process.fs.h2turbine_props.water.cp_mol_ig_comp_coeff_C*(0.001*(kK/K)*blocks[1].process.fs.mixer.mixed_state[0.0].temperature)**3 + 0.25*blocks[1].process.fs.h2turbine_props.water.cp_mol_ig_comp_coeff_D*(0.001*(kK/K)*blocks[1].process.fs.mixer.mixed_state[0.0].temperature)**4 - blocks[1].process.fs.h2turbine_props.water.cp_mol_ig_comp_coeff_E/(0.001*(kK/K)*blocks[1].process.fs.mixer.mixed_state[0.0].temperature) + blocks[1].process.fs.h2turbine_props.water.cp_mol_ig_comp_coeff_F)) + blocks[1].process.fs.mixer.mixed_state[0.0].mole_frac_phase_comp[Vap,argon]*(1000.0*(K*kg*m**2/J/kK/s**2)*(blocks[1].process.fs.h2turbine_props.argon.cp_mol_ig_comp_coeff_A*(0.001*(kK/K)*blocks[1].process.fs.mixer.mixed_state[0.0].temperature) + 0.5*blocks[1].process.fs.h2turbine_props.argon.cp_mol_ig_comp_coeff_B*(0.001*(kK/K)*blocks[1].process.fs.mixer.mixed_state[0.0].temperature)**2 + 0.3333333333333333*blocks[1].process.fs.h2turbine_props.argon.cp_mol_ig_comp_coeff_C*(0.001*(kK/K)*blocks[1].process.fs.mixer.mixed_state[0.0].temperature)**3 + 0.25*blocks[1].process.fs.h2turbine_props.argon.cp_mol_ig_comp_coeff_D*(0.001*(kK/K)*blocks[1].process.fs.mixer.mixed_state[0.0].temperature)**4 - blocks[1].process.fs.h2turbine_props.argon.cp_mol_ig_comp_coeff_E/(0.001*(kK/K)*blocks[1].process.fs.mixer.mixed_state[0.0].temperature) + blocks[1].process.fs.h2turbine_props.argon.cp_mol_ig_comp_coeff_F)))))*0.01 : 0.0 : True variable lower value upper blocks[1].process.fs.mixer.air_feed_state[0.0].flow_mol_phase[Vap] 0 0.010761467890991586 10000 blocks[1].process.fs.mixer.hydrogen_feed_state[0.0].flow_mol_phase[Vap] 0 0.00999999 10000 blocks[1].process.fs.mixer.purchased_hydrogen_feed_state[0.0].flow_mol_phase[Vap] 0 0.00999999 10000 blocks[1].process.fs.mixer.mixed_state[0.0].flow_mol_phase[Vap] 0 0.011761604312087458 10000 blocks[1].process.fs.mixer.air_feed_state[0.0].mole_frac_phase_comp[Vap,hydrogen] 1e-20 0.00999999 1.001 blocks[1].process.fs.mixer.air_feed_state[0.0].mole_frac_phase_comp[Vap,nitrogen] 1e-20 0.7672 1.001 blocks[1].process.fs.mixer.air_feed_state[0.0].mole_frac_phase_comp[Vap,oxygen] 1e-20 0.2054 1.001 blocks[1].process.fs.mixer.air_feed_state[0.0].mole_frac_phase_comp[Vap,water] 1e-20 0.024 1.001 blocks[1].process.fs.mixer.air_feed_state[0.0].mole_frac_phase_comp[Vap,argon] 1e-20 0.00999999 1.001 blocks[1].process.fs.mixer.hydrogen_feed_state[0.0].mole_frac_phase_comp[Vap,hydrogen] 1e-20 0.99 1.001 blocks[1].process.fs.mixer.hydrogen_feed_state[0.0].mole_frac_phase_comp[Vap,nitrogen] 1e-20 0.00999999 1.001 blocks[1].process.fs.mixer.hydrogen_feed_state[0.0].mole_frac_phase_comp[Vap,oxygen] 1e-20 0.00999999 1.001 blocks[1].process.fs.mixer.hydrogen_feed_state[0.0].mole_frac_phase_comp[Vap,water] 1e-20 0.00999999 1.001 blocks[1].process.fs.mixer.hydrogen_feed_state[0.0].mole_frac_phase_comp[Vap,argon] 1e-20 0.00999999 1.001 blocks[1].process.fs.mixer.purchased_hydrogen_feed_state[0.0].mole_frac_phase_comp[Vap,hydrogen] 1e-20 0.99 1.001 blocks[1].process.fs.mixer.purchased_hydrogen_feed_state[0.0].mole_frac_phase_comp[Vap,nitrogen] 1e-20 0.00999999 1.001 blocks[1].process.fs.mixer.purchased_hydrogen_feed_state[0.0].mole_frac_phase_comp[Vap,oxygen] 1e-20 0.00999999 1.001 blocks[1].process.fs.mixer.purchased_hydrogen_feed_state[0.0].mole_frac_phase_comp[Vap,water] 1e-20 0.00999999 1.001 blocks[1].process.fs.mixer.purchased_hydrogen_feed_state[0.0].mole_frac_phase_comp[Vap,argon] 1e-20 0.00999999 1.001 blocks[1].process.fs.mixer.mixed_state[0.0].mole_frac_phase_comp[Vap,hydrogen] 1e-20 0.08436666666666666 1.001 blocks[1].process.fs.mixer.mixed_state[0.0].mole_frac_phase_comp[Vap,nitrogen] 1e-20 0.7021744897959183 1.001 blocks[1].process.fs.mixer.mixed_state[0.0].mole_frac_phase_comp[Vap,oxygen] 1e-20 0.18814659863945582 1.001 blocks[1].process.fs.mixer.mixed_state[0.0].mole_frac_phase_comp[Vap,water] 1e-20 0.022171768707482994 1.001 blocks[1].process.fs.mixer.mixed_state[0.0].mole_frac_phase_comp[Vap,argon] 1e-20 0.00999999 1.001 blocks[1].process.fs.h2turbine_props.hydrogen.cp_mol_ig_comp_coeff_F None -0.009980797000000001 None blocks[1].process.fs.h2turbine_props.nitrogen.cp_mol_ig_comp_coeff_F None -0.0049352020000000005 None blocks[1].process.fs.h2turbine_props.oxygen.cp_mol_ig_comp_coeff_F None -0.008903471 None blocks[1].process.fs.h2turbine_props.water.cp_mol_ig_comp_coeff_F None -0.250881 None blocks[1].process.fs.h2turbine_props.argon.cp_mol_ig_comp_coeff_F None -0.00619735 None blocks[1].process.fs.h2turbine_props.hydrogen.cp_mol_ig_comp_coeff_A None 33.066178 None blocks[1].process.fs.h2turbine_props.nitrogen.cp_mol_ig_comp_coeff_A None 19.50583 None blocks[1].process.fs.h2turbine_props.oxygen.cp_mol_ig_comp_coeff_A None 31.32234 None blocks[1].process.fs.h2turbine_props.water.cp_mol_ig_comp_coeff_A None 30.092 None blocks[1].process.fs.h2turbine_props.argon.cp_mol_ig_comp_coeff_A None 20.786 None blocks[1].process.fs.mixer.air_feed_state[0.0].temperature 273.15 300 2000 blocks[1].process.fs.h2turbine_props.hydrogen.cp_mol_ig_comp_coeff_B None -11.363417 None blocks[1].process.fs.h2turbine_props.hydrogen.cp_mol_ig_comp_coeff_C None 11.432816 None blocks[1].process.fs.h2turbine_props.hydrogen.cp_mol_ig_comp_coeff_D None -2.772874 None blocks[1].process.fs.h2turbine_props.hydrogen.cp_mol_ig_comp_coeff_E None -0.158558 None blocks[1].process.fs.h2turbine_props.nitrogen.cp_mol_ig_comp_coeff_B None 19.88705 None blocks[1].process.fs.h2turbine_props.nitrogen.cp_mol_ig_comp_coeff_C None -8.598535 None blocks[1].process.fs.h2turbine_props.nitrogen.cp_mol_ig_comp_coeff_D None 1.369784 None blocks[1].process.fs.h2turbine_props.nitrogen.cp_mol_ig_comp_coeff_E None 0.527601 None blocks[1].process.fs.h2turbine_props.oxygen.cp_mol_ig_comp_coeff_B None -20.23531 None blocks[1].process.fs.h2turbine_props.oxygen.cp_mol_ig_comp_coeff_C None 57.86644 None blocks[1].process.fs.h2turbine_props.oxygen.cp_mol_ig_comp_coeff_D None -36.50624 None blocks[1].process.fs.h2turbine_props.oxygen.cp_mol_ig_comp_coeff_E None -0.007374 None blocks[1].process.fs.h2turbine_props.water.cp_mol_ig_comp_coeff_B None 6.832514 None blocks[1].process.fs.h2turbine_props.water.cp_mol_ig_comp_coeff_C None 6.793435 None blocks[1].process.fs.h2turbine_props.water.cp_mol_ig_comp_coeff_D None -2.53448 None blocks[1].process.fs.h2turbine_props.water.cp_mol_ig_comp_coeff_E None 0.082139 None blocks[1].process.fs.h2turbine_props.argon.cp_mol_ig_comp_coeff_B None 2.82e-07 None blocks[1].process.fs.h2turbine_props.argon.cp_mol_ig_comp_coeff_C None -1.46e-07 None blocks[1].process.fs.h2turbine_props.argon.cp_mol_ig_comp_coeff_D None 1.092e-08 None blocks[1].process.fs.h2turbine_props.argon.cp_mol_ig_comp_coeff_E None -3.66e-08 None blocks[1].process.fs.mixer.hydrogen_feed_state[0.0].temperature 273.15 299.9999999999998 2000 blocks[1].process.fs.mixer.purchased_hydrogen_feed_state[0.0].temperature 273.15 300 2000 blocks[1].process.fs.mixer.mixed_state[0.0].temperature 273.15 299.99999999999994 2000 count = 44 |residual| = 0.7158378589799952 {Member of isentropic_energy_balance} : Calculate work of isentropic process Size=1, Index=blocks[0].process.fs._time, Active=True Key : Lower : Body : Upper : Active 0.0 : 0.0 : blocks[0].process.fs.h2_turbine.compressor.work_isentropic[0.0] - ((blocks[0].process.fs.h2_turbine.compressor.properties_isentropic[0.0].flow_mol_phase[Vap]*(blocks[0].process.fs.h2_turbine.compressor.properties_isentropic[0.0].mole_frac_phase_comp[Vap,hydrogen]*(1000.0*(K*kg*m**2/J/kK/s**2)*(blocks[0].process.fs.h2turbine_props.hydrogen.cp_mol_ig_comp_coeff_A*(0.001*(kK/K)*blocks[0].process.fs.h2_turbine.compressor.properties_isentropic[0.0].temperature) + 0.5*blocks[0].process.fs.h2turbine_props.hydrogen.cp_mol_ig_comp_coeff_B*(0.001*(kK/K)*blocks[0].process.fs.h2_turbine.compressor.properties_isentropic[0.0].temperature)**2 + 0.3333333333333333*blocks[0].process.fs.h2turbine_props.hydrogen.cp_mol_ig_comp_coeff_C*(0.001*(kK/K)*blocks[0].process.fs.h2_turbine.compressor.properties_isentropic[0.0].temperature)**3 + 0.25*blocks[0].process.fs.h2turbine_props.hydrogen.cp_mol_ig_comp_coeff_D*(0.001*(kK/K)*blocks[0].process.fs.h2_turbine.compressor.properties_isentropic[0.0].temperature)**4 - blocks[0].process.fs.h2turbine_props.hydrogen.cp_mol_ig_comp_coeff_E/(0.001*(kK/K)*blocks[0].process.fs.h2_turbine.compressor.properties_isentropic[0.0].temperature) + blocks[0].process.fs.h2turbine_props.hydrogen.cp_mol_ig_comp_coeff_F)) + blocks[0].process.fs.h2_turbine.compressor.properties_isentropic[0.0].mole_frac_phase_comp[Vap,nitrogen]*(1000.0*(K*kg*m**2/J/kK/s**2)*(blocks[0].process.fs.h2turbine_props.nitrogen.cp_mol_ig_comp_coeff_A*(0.001*(kK/K)*blocks[0].process.fs.h2_turbine.compressor.properties_isentropic[0.0].temperature) + 0.5*blocks[0].process.fs.h2turbine_props.nitrogen.cp_mol_ig_comp_coeff_B*(0.001*(kK/K)*blocks[0].process.fs.h2_turbine.compressor.properties_isentropic[0.0].temperature)**2 + 0.3333333333333333*blocks[0].process.fs.h2turbine_props.nitrogen.cp_mol_ig_comp_coeff_C*(0.001*(kK/K)*blocks[0].process.fs.h2_turbine.compressor.properties_isentropic[0.0].temperature)**3 + 0.25*blocks[0].process.fs.h2turbine_props.nitrogen.cp_mol_ig_comp_coeff_D*(0.001*(kK/K)*blocks[0].process.fs.h2_turbine.compressor.properties_isentropic[0.0].temperature)**4 - blocks[0].process.fs.h2turbine_props.nitrogen.cp_mol_ig_comp_coeff_E/(0.001*(kK/K)*blocks[0].process.fs.h2_turbine.compressor.properties_isentropic[0.0].temperature) + blocks[0].process.fs.h2turbine_props.nitrogen.cp_mol_ig_comp_coeff_F)) + blocks[0].process.fs.h2_turbine.compressor.properties_isentropic[0.0].mole_frac_phase_comp[Vap,oxygen]*(1000.0*(K*kg*m**2/J/kK/s**2)*(blocks[0].process.fs.h2turbine_props.oxygen.cp_mol_ig_comp_coeff_A*(0.001*(kK/K)*blocks[0].process.fs.h2_turbine.compressor.properties_isentropic[0.0].temperature) + 0.5*blocks[0].process.fs.h2turbine_props.oxygen.cp_mol_ig_comp_coeff_B*(0.001*(kK/K)*blocks[0].process.fs.h2_turbine.compressor.properties_isentropic[0.0].temperature)**2 + 0.3333333333333333*blocks[0].process.fs.h2turbine_props.oxygen.cp_mol_ig_comp_coeff_C*(0.001*(kK/K)*blocks[0].process.fs.h2_turbine.compressor.properties_isentropic[0.0].temperature)**3 + 0.25*blocks[0].process.fs.h2turbine_props.oxygen.cp_mol_ig_comp_coeff_D*(0.001*(kK/K)*blocks[0].process.fs.h2_turbine.compressor.properties_isentropic[0.0].temperature)**4 - blocks[0].process.fs.h2turbine_props.oxygen.cp_mol_ig_comp_coeff_E/(0.001*(kK/K)*blocks[0].process.fs.h2_turbine.compressor.properties_isentropic[0.0].temperature) + blocks[0].process.fs.h2turbine_props.oxygen.cp_mol_ig_comp_coeff_F)) + blocks[0].process.fs.h2_turbine.compressor.properties_isentropic[0.0].mole_frac_phase_comp[Vap,water]*(1000.0*(K*kg*m**2/J/kK/s**2)*(blocks[0].process.fs.h2turbine_props.water.cp_mol_ig_comp_coeff_A*(0.001*(kK/K)*blocks[0].process.fs.h2_turbine.compressor.properties_isentropic[0.0].temperature) + 0.5*blocks[0].process.fs.h2turbine_props.water.cp_mol_ig_comp_coeff_B*(0.001*(kK/K)*blocks[0].process.fs.h2_turbine.compressor.properties_isentropic[0.0].temperature)**2 + 0.3333333333333333*blocks[0].process.fs.h2turbine_props.water.cp_mol_ig_comp_coeff_C*(0.001*(kK/K)*blocks[0].process.fs.h2_turbine.compressor.properties_isentropic[0.0].temperature)**3 + 0.25*blocks[0].process.fs.h2turbine_props.water.cp_mol_ig_comp_coeff_D*(0.001*(kK/K)*blocks[0].process.fs.h2_turbine.compressor.properties_isentropic[0.0].temperature)**4 - blocks[0].process.fs.h2turbine_props.water.cp_mol_ig_comp_coeff_E/(0.001*(kK/K)*blocks[0].process.fs.h2_turbine.compressor.properties_isentropic[0.0].temperature) + blocks[0].process.fs.h2turbine_props.water.cp_mol_ig_comp_coeff_F)) + blocks[0].process.fs.h2_turbine.compressor.properties_isentropic[0.0].mole_frac_phase_comp[Vap,argon]*(1000.0*(K*kg*m**2/J/kK/s**2)*(blocks[0].process.fs.h2turbine_props.argon.cp_mol_ig_comp_coeff_A*(0.001*(kK/K)*blocks[0].process.fs.h2_turbine.compressor.properties_isentropic[0.0].temperature) + 0.5*blocks[0].process.fs.h2turbine_props.argon.cp_mol_ig_comp_coeff_B*(0.001*(kK/K)*blocks[0].process.fs.h2_turbine.compressor.properties_isentropic[0.0].temperature)**2 + 0.3333333333333333*blocks[0].process.fs.h2turbine_props.argon.cp_mol_ig_comp_coeff_C*(0.001*(kK/K)*blocks[0].process.fs.h2_turbine.compressor.properties_isentropic[0.0].temperature)**3 + 0.25*blocks[0].process.fs.h2turbine_props.argon.cp_mol_ig_comp_coeff_D*(0.001*(kK/K)*blocks[0].process.fs.h2_turbine.compressor.properties_isentropic[0.0].temperature)**4 - blocks[0].process.fs.h2turbine_props.argon.cp_mol_ig_comp_coeff_E/(0.001*(kK/K)*blocks[0].process.fs.h2_turbine.compressor.properties_isentropic[0.0].temperature) + blocks[0].process.fs.h2turbine_props.argon.cp_mol_ig_comp_coeff_F)))) - (blocks[0].process.fs.h2_turbine.compressor.control_volume.properties_in[0.0].flow_mol_phase[Vap]*(blocks[0].process.fs.h2_turbine.compressor.control_volume.properties_in[0.0].mole_frac_phase_comp[Vap,hydrogen]*(1000.0*(K*kg*m**2/J/kK/s**2)*(blocks[0].process.fs.h2turbine_props.hydrogen.cp_mol_ig_comp_coeff_A*(0.001*(kK/K)*blocks[0].process.fs.h2_turbine.compressor.control_volume.properties_in[0.0].temperature) + 0.5*blocks[0].process.fs.h2turbine_props.hydrogen.cp_mol_ig_comp_coeff_B*(0.001*(kK/K)*blocks[0].process.fs.h2_turbine.compressor.control_volume.properties_in[0.0].temperature)**2 + 0.3333333333333333*blocks[0].process.fs.h2turbine_props.hydrogen.cp_mol_ig_comp_coeff_C*(0.001*(kK/K)*blocks[0].process.fs.h2_turbine.compressor.control_volume.properties_in[0.0].temperature)**3 + 0.25*blocks[0].process.fs.h2turbine_props.hydrogen.cp_mol_ig_comp_coeff_D*(0.001*(kK/K)*blocks[0].process.fs.h2_turbine.compressor.control_volume.properties_in[0.0].temperature)**4 - blocks[0].process.fs.h2turbine_props.hydrogen.cp_mol_ig_comp_coeff_E/(0.001*(kK/K)*blocks[0].process.fs.h2_turbine.compressor.control_volume.properties_in[0.0].temperature) + blocks[0].process.fs.h2turbine_props.hydrogen.cp_mol_ig_comp_coeff_F)) + blocks[0].process.fs.h2_turbine.compressor.control_volume.properties_in[0.0].mole_frac_phase_comp[Vap,nitrogen]*(1000.0*(K*kg*m**2/J/kK/s**2)*(blocks[0].process.fs.h2turbine_props.nitrogen.cp_mol_ig_comp_coeff_A*(0.001*(kK/K)*blocks[0].process.fs.h2_turbine.compressor.control_volume.properties_in[0.0].temperature) + 0.5*blocks[0].process.fs.h2turbine_props.nitrogen.cp_mol_ig_comp_coeff_B*(0.001*(kK/K)*blocks[0].process.fs.h2_turbine.compressor.control_volume.properties_in[0.0].temperature)**2 + 0.3333333333333333*blocks[0].process.fs.h2turbine_props.nitrogen.cp_mol_ig_comp_coeff_C*(0.001*(kK/K)*blocks[0].process.fs.h2_turbine.compressor.control_volume.properties_in[0.0].temperature)**3 + 0.25*blocks[0].process.fs.h2turbine_props.nitrogen.cp_mol_ig_comp_coeff_D*(0.001*(kK/K)*blocks[0].process.fs.h2_turbine.compressor.control_volume.properties_in[0.0].temperature)**4 - blocks[0].process.fs.h2turbine_props.nitrogen.cp_mol_ig_comp_coeff_E/(0.001*(kK/K)*blocks[0].process.fs.h2_turbine.compressor.control_volume.properties_in[0.0].temperature) + blocks[0].process.fs.h2turbine_props.nitrogen.cp_mol_ig_comp_coeff_F)) + blocks[0].process.fs.h2_turbine.compressor.control_volume.properties_in[0.0].mole_frac_phase_comp[Vap,oxygen]*(1000.0*(K*kg*m**2/J/kK/s**2)*(blocks[0].process.fs.h2turbine_props.oxygen.cp_mol_ig_comp_coeff_A*(0.001*(kK/K)*blocks[0].process.fs.h2_turbine.compressor.control_volume.properties_in[0.0].temperature) + 0.5*blocks[0].process.fs.h2turbine_props.oxygen.cp_mol_ig_comp_coeff_B*(0.001*(kK/K)*blocks[0].process.fs.h2_turbine.compressor.control_volume.properties_in[0.0].temperature)**2 + 0.3333333333333333*blocks[0].process.fs.h2turbine_props.oxygen.cp_mol_ig_comp_coeff_C*(0.001*(kK/K)*blocks[0].process.fs.h2_turbine.compressor.control_volume.properties_in[0.0].temperature)**3 + 0.25*blocks[0].process.fs.h2turbine_props.oxygen.cp_mol_ig_comp_coeff_D*(0.001*(kK/K)*blocks[0].process.fs.h2_turbine.compressor.control_volume.properties_in[0.0].temperature)**4 - blocks[0].process.fs.h2turbine_props.oxygen.cp_mol_ig_comp_coeff_E/(0.001*(kK/K)*blocks[0].process.fs.h2_turbine.compressor.control_volume.properties_in[0.0].temperature) + blocks[0].process.fs.h2turbine_props.oxygen.cp_mol_ig_comp_coeff_F)) + blocks[0].process.fs.h2_turbine.compressor.control_volume.properties_in[0.0].mole_frac_phase_comp[Vap,water]*(1000.0*(K*kg*m**2/J/kK/s**2)*(blocks[0].process.fs.h2turbine_props.water.cp_mol_ig_comp_coeff_A*(0.001*(kK/K)*blocks[0].process.fs.h2_turbine.compressor.control_volume.properties_in[0.0].temperature) + 0.5*blocks[0].process.fs.h2turbine_props.water.cp_mol_ig_comp_coeff_B*(0.001*(kK/K)*blocks[0].process.fs.h2_turbine.compressor.control_volume.properties_in[0.0].temperature)**2 + 0.3333333333333333*blocks[0].process.fs.h2turbine_props.water.cp_mol_ig_comp_coeff_C*(0.001*(kK/K)*blocks[0].process.fs.h2_turbine.compressor.control_volume.properties_in[0.0].temperature)**3 + 0.25*blocks[0].process.fs.h2turbine_props.water.cp_mol_ig_comp_coeff_D*(0.001*(kK/K)*blocks[0].process.fs.h2_turbine.compressor.control_volume.properties_in[0.0].temperature)**4 - blocks[0].process.fs.h2turbine_props.water.cp_mol_ig_comp_coeff_E/(0.001*(kK/K)*blocks[0].process.fs.h2_turbine.compressor.control_volume.properties_in[0.0].temperature) + blocks[0].process.fs.h2turbine_props.water.cp_mol_ig_comp_coeff_F)) + blocks[0].process.fs.h2_turbine.compressor.control_volume.properties_in[0.0].mole_frac_phase_comp[Vap,argon]*(1000.0*(K*kg*m**2/J/kK/s**2)*(blocks[0].process.fs.h2turbine_props.argon.cp_mol_ig_comp_coeff_A*(0.001*(kK/K)*blocks[0].process.fs.h2_turbine.compressor.control_volume.properties_in[0.0].temperature) + 0.5*blocks[0].process.fs.h2turbine_props.argon.cp_mol_ig_comp_coeff_B*(0.001*(kK/K)*blocks[0].process.fs.h2_turbine.compressor.control_volume.properties_in[0.0].temperature)**2 + 0.3333333333333333*blocks[0].process.fs.h2turbine_props.argon.cp_mol_ig_comp_coeff_C*(0.001*(kK/K)*blocks[0].process.fs.h2_turbine.compressor.control_volume.properties_in[0.0].temperature)**3 + 0.25*blocks[0].process.fs.h2turbine_props.argon.cp_mol_ig_comp_coeff_D*(0.001*(kK/K)*blocks[0].process.fs.h2_turbine.compressor.control_volume.properties_in[0.0].temperature)**4 - blocks[0].process.fs.h2turbine_props.argon.cp_mol_ig_comp_coeff_E/(0.001*(kK/K)*blocks[0].process.fs.h2_turbine.compressor.control_volume.properties_in[0.0].temperature) + blocks[0].process.fs.h2turbine_props.argon.cp_mol_ig_comp_coeff_F))))) : 0.0 : True variable lower value upper blocks[0].process.fs.h2_turbine.compressor.work_isentropic[0.0] None 151.77668960558358 None blocks[0].process.fs.h2_turbine.compressor.properties_isentropic[0.0].flow_mol_phase[Vap] 0 0.01176160431208746 10000 blocks[0].process.fs.h2_turbine.compressor.control_volume.properties_in[0.0].flow_mol_phase[Vap] 0 0.011761604312087458 10000 blocks[0].process.fs.h2_turbine.compressor.properties_isentropic[0.0].mole_frac_phase_comp[Vap,hydrogen] 1e-20 0.08436666666666665 1.001 blocks[0].process.fs.h2_turbine.compressor.properties_isentropic[0.0].mole_frac_phase_comp[Vap,nitrogen] 1e-20 0.7021744897959182 1.001 blocks[0].process.fs.h2_turbine.compressor.properties_isentropic[0.0].mole_frac_phase_comp[Vap,oxygen] 1e-20 0.1881465986394558 1.001 blocks[0].process.fs.h2_turbine.compressor.properties_isentropic[0.0].mole_frac_phase_comp[Vap,water] 1e-20 0.02217176870748299 1.001 blocks[0].process.fs.h2_turbine.compressor.properties_isentropic[0.0].mole_frac_phase_comp[Vap,argon] 1e-20 0.00999999 1.001 blocks[0].process.fs.h2_turbine.compressor.control_volume.properties_in[0.0].mole_frac_phase_comp[Vap,hydrogen] 1e-20 0.08436666666666666 1.001 blocks[0].process.fs.h2_turbine.compressor.control_volume.properties_in[0.0].mole_frac_phase_comp[Vap,nitrogen] 1e-20 0.7021744897959183 1.001 blocks[0].process.fs.h2_turbine.compressor.control_volume.properties_in[0.0].mole_frac_phase_comp[Vap,oxygen] 1e-20 0.18814659863945582 1.001 blocks[0].process.fs.h2_turbine.compressor.control_volume.properties_in[0.0].mole_frac_phase_comp[Vap,water] 1e-20 0.022171768707482994 1.001 blocks[0].process.fs.h2_turbine.compressor.control_volume.properties_in[0.0].mole_frac_phase_comp[Vap,argon] 1e-20 0.00999999 1.001 blocks[0].process.fs.h2turbine_props.hydrogen.cp_mol_ig_comp_coeff_F None -0.009980797000000001 None blocks[0].process.fs.h2turbine_props.nitrogen.cp_mol_ig_comp_coeff_F None -0.0049352020000000005 None blocks[0].process.fs.h2turbine_props.oxygen.cp_mol_ig_comp_coeff_F None -0.008903471 None blocks[0].process.fs.h2turbine_props.water.cp_mol_ig_comp_coeff_F None -0.250881 None blocks[0].process.fs.h2turbine_props.argon.cp_mol_ig_comp_coeff_F None -0.00619735 None blocks[0].process.fs.h2turbine_props.hydrogen.cp_mol_ig_comp_coeff_A None 33.066178 None blocks[0].process.fs.h2turbine_props.nitrogen.cp_mol_ig_comp_coeff_A None 19.50583 None blocks[0].process.fs.h2turbine_props.oxygen.cp_mol_ig_comp_coeff_A None 31.32234 None blocks[0].process.fs.h2turbine_props.water.cp_mol_ig_comp_coeff_A None 30.092 None blocks[0].process.fs.h2turbine_props.argon.cp_mol_ig_comp_coeff_A None 20.786 None blocks[0].process.fs.h2_turbine.compressor.properties_isentropic[0.0].temperature 273.15 726.857661847991 2000 blocks[0].process.fs.h2turbine_props.hydrogen.cp_mol_ig_comp_coeff_B None -11.363417 None blocks[0].process.fs.h2turbine_props.hydrogen.cp_mol_ig_comp_coeff_C None 11.432816 None blocks[0].process.fs.h2turbine_props.hydrogen.cp_mol_ig_comp_coeff_D None -2.772874 None blocks[0].process.fs.h2turbine_props.hydrogen.cp_mol_ig_comp_coeff_E None -0.158558 None blocks[0].process.fs.h2turbine_props.nitrogen.cp_mol_ig_comp_coeff_B None 19.88705 None blocks[0].process.fs.h2turbine_props.nitrogen.cp_mol_ig_comp_coeff_C None -8.598535 None blocks[0].process.fs.h2turbine_props.nitrogen.cp_mol_ig_comp_coeff_D None 1.369784 None blocks[0].process.fs.h2turbine_props.nitrogen.cp_mol_ig_comp_coeff_E None 0.527601 None blocks[0].process.fs.h2turbine_props.oxygen.cp_mol_ig_comp_coeff_B None -20.23531 None blocks[0].process.fs.h2turbine_props.oxygen.cp_mol_ig_comp_coeff_C None 57.86644 None blocks[0].process.fs.h2turbine_props.oxygen.cp_mol_ig_comp_coeff_D None -36.50624 None blocks[0].process.fs.h2turbine_props.oxygen.cp_mol_ig_comp_coeff_E None -0.007374 None blocks[0].process.fs.h2turbine_props.water.cp_mol_ig_comp_coeff_B None 6.832514 None blocks[0].process.fs.h2turbine_props.water.cp_mol_ig_comp_coeff_C None 6.793435 None blocks[0].process.fs.h2turbine_props.water.cp_mol_ig_comp_coeff_D None -2.53448 None blocks[0].process.fs.h2turbine_props.water.cp_mol_ig_comp_coeff_E None 0.082139 None blocks[0].process.fs.h2turbine_props.argon.cp_mol_ig_comp_coeff_B None 2.82e-07 None blocks[0].process.fs.h2turbine_props.argon.cp_mol_ig_comp_coeff_C None -1.46e-07 None blocks[0].process.fs.h2turbine_props.argon.cp_mol_ig_comp_coeff_D None 1.092e-08 None blocks[0].process.fs.h2turbine_props.argon.cp_mol_ig_comp_coeff_E None -3.66e-08 None blocks[0].process.fs.h2_turbine.compressor.control_volume.properties_in[0.0].temperature 273.15 299.99999999999994 2000 count = 45 |residual| = 0.7158378589799952 {Member of isentropic_energy_balance} : Calculate work of isentropic process Size=1, Index=blocks[1].process.fs._time, Active=True Key : Lower : Body : Upper : Active 0.0 : 0.0 : blocks[1].process.fs.h2_turbine.compressor.work_isentropic[0.0] - ((blocks[1].process.fs.h2_turbine.compressor.properties_isentropic[0.0].flow_mol_phase[Vap]*(blocks[1].process.fs.h2_turbine.compressor.properties_isentropic[0.0].mole_frac_phase_comp[Vap,hydrogen]*(1000.0*(K*kg*m**2/J/kK/s**2)*(blocks[1].process.fs.h2turbine_props.hydrogen.cp_mol_ig_comp_coeff_A*(0.001*(kK/K)*blocks[1].process.fs.h2_turbine.compressor.properties_isentropic[0.0].temperature) + 0.5*blocks[1].process.fs.h2turbine_props.hydrogen.cp_mol_ig_comp_coeff_B*(0.001*(kK/K)*blocks[1].process.fs.h2_turbine.compressor.properties_isentropic[0.0].temperature)**2 + 0.3333333333333333*blocks[1].process.fs.h2turbine_props.hydrogen.cp_mol_ig_comp_coeff_C*(0.001*(kK/K)*blocks[1].process.fs.h2_turbine.compressor.properties_isentropic[0.0].temperature)**3 + 0.25*blocks[1].process.fs.h2turbine_props.hydrogen.cp_mol_ig_comp_coeff_D*(0.001*(kK/K)*blocks[1].process.fs.h2_turbine.compressor.properties_isentropic[0.0].temperature)**4 - blocks[1].process.fs.h2turbine_props.hydrogen.cp_mol_ig_comp_coeff_E/(0.001*(kK/K)*blocks[1].process.fs.h2_turbine.compressor.properties_isentropic[0.0].temperature) + blocks[1].process.fs.h2turbine_props.hydrogen.cp_mol_ig_comp_coeff_F)) + blocks[1].process.fs.h2_turbine.compressor.properties_isentropic[0.0].mole_frac_phase_comp[Vap,nitrogen]*(1000.0*(K*kg*m**2/J/kK/s**2)*(blocks[1].process.fs.h2turbine_props.nitrogen.cp_mol_ig_comp_coeff_A*(0.001*(kK/K)*blocks[1].process.fs.h2_turbine.compressor.properties_isentropic[0.0].temperature) + 0.5*blocks[1].process.fs.h2turbine_props.nitrogen.cp_mol_ig_comp_coeff_B*(0.001*(kK/K)*blocks[1].process.fs.h2_turbine.compressor.properties_isentropic[0.0].temperature)**2 + 0.3333333333333333*blocks[1].process.fs.h2turbine_props.nitrogen.cp_mol_ig_comp_coeff_C*(0.001*(kK/K)*blocks[1].process.fs.h2_turbine.compressor.properties_isentropic[0.0].temperature)**3 + 0.25*blocks[1].process.fs.h2turbine_props.nitrogen.cp_mol_ig_comp_coeff_D*(0.001*(kK/K)*blocks[1].process.fs.h2_turbine.compressor.properties_isentropic[0.0].temperature)**4 - blocks[1].process.fs.h2turbine_props.nitrogen.cp_mol_ig_comp_coeff_E/(0.001*(kK/K)*blocks[1].process.fs.h2_turbine.compressor.properties_isentropic[0.0].temperature) + blocks[1].process.fs.h2turbine_props.nitrogen.cp_mol_ig_comp_coeff_F)) + blocks[1].process.fs.h2_turbine.compressor.properties_isentropic[0.0].mole_frac_phase_comp[Vap,oxygen]*(1000.0*(K*kg*m**2/J/kK/s**2)*(blocks[1].process.fs.h2turbine_props.oxygen.cp_mol_ig_comp_coeff_A*(0.001*(kK/K)*blocks[1].process.fs.h2_turbine.compressor.properties_isentropic[0.0].temperature) + 0.5*blocks[1].process.fs.h2turbine_props.oxygen.cp_mol_ig_comp_coeff_B*(0.001*(kK/K)*blocks[1].process.fs.h2_turbine.compressor.properties_isentropic[0.0].temperature)**2 + 0.3333333333333333*blocks[1].process.fs.h2turbine_props.oxygen.cp_mol_ig_comp_coeff_C*(0.001*(kK/K)*blocks[1].process.fs.h2_turbine.compressor.properties_isentropic[0.0].temperature)**3 + 0.25*blocks[1].process.fs.h2turbine_props.oxygen.cp_mol_ig_comp_coeff_D*(0.001*(kK/K)*blocks[1].process.fs.h2_turbine.compressor.properties_isentropic[0.0].temperature)**4 - blocks[1].process.fs.h2turbine_props.oxygen.cp_mol_ig_comp_coeff_E/(0.001*(kK/K)*blocks[1].process.fs.h2_turbine.compressor.properties_isentropic[0.0].temperature) + blocks[1].process.fs.h2turbine_props.oxygen.cp_mol_ig_comp_coeff_F)) + blocks[1].process.fs.h2_turbine.compressor.properties_isentropic[0.0].mole_frac_phase_comp[Vap,water]*(1000.0*(K*kg*m**2/J/kK/s**2)*(blocks[1].process.fs.h2turbine_props.water.cp_mol_ig_comp_coeff_A*(0.001*(kK/K)*blocks[1].process.fs.h2_turbine.compressor.properties_isentropic[0.0].temperature) + 0.5*blocks[1].process.fs.h2turbine_props.water.cp_mol_ig_comp_coeff_B*(0.001*(kK/K)*blocks[1].process.fs.h2_turbine.compressor.properties_isentropic[0.0].temperature)**2 + 0.3333333333333333*blocks[1].process.fs.h2turbine_props.water.cp_mol_ig_comp_coeff_C*(0.001*(kK/K)*blocks[1].process.fs.h2_turbine.compressor.properties_isentropic[0.0].temperature)**3 + 0.25*blocks[1].process.fs.h2turbine_props.water.cp_mol_ig_comp_coeff_D*(0.001*(kK/K)*blocks[1].process.fs.h2_turbine.compressor.properties_isentropic[0.0].temperature)**4 - blocks[1].process.fs.h2turbine_props.water.cp_mol_ig_comp_coeff_E/(0.001*(kK/K)*blocks[1].process.fs.h2_turbine.compressor.properties_isentropic[0.0].temperature) + blocks[1].process.fs.h2turbine_props.water.cp_mol_ig_comp_coeff_F)) + blocks[1].process.fs.h2_turbine.compressor.properties_isentropic[0.0].mole_frac_phase_comp[Vap,argon]*(1000.0*(K*kg*m**2/J/kK/s**2)*(blocks[1].process.fs.h2turbine_props.argon.cp_mol_ig_comp_coeff_A*(0.001*(kK/K)*blocks[1].process.fs.h2_turbine.compressor.properties_isentropic[0.0].temperature) + 0.5*blocks[1].process.fs.h2turbine_props.argon.cp_mol_ig_comp_coeff_B*(0.001*(kK/K)*blocks[1].process.fs.h2_turbine.compressor.properties_isentropic[0.0].temperature)**2 + 0.3333333333333333*blocks[1].process.fs.h2turbine_props.argon.cp_mol_ig_comp_coeff_C*(0.001*(kK/K)*blocks[1].process.fs.h2_turbine.compressor.properties_isentropic[0.0].temperature)**3 + 0.25*blocks[1].process.fs.h2turbine_props.argon.cp_mol_ig_comp_coeff_D*(0.001*(kK/K)*blocks[1].process.fs.h2_turbine.compressor.properties_isentropic[0.0].temperature)**4 - blocks[1].process.fs.h2turbine_props.argon.cp_mol_ig_comp_coeff_E/(0.001*(kK/K)*blocks[1].process.fs.h2_turbine.compressor.properties_isentropic[0.0].temperature) + blocks[1].process.fs.h2turbine_props.argon.cp_mol_ig_comp_coeff_F)))) - (blocks[1].process.fs.h2_turbine.compressor.control_volume.properties_in[0.0].flow_mol_phase[Vap]*(blocks[1].process.fs.h2_turbine.compressor.control_volume.properties_in[0.0].mole_frac_phase_comp[Vap,hydrogen]*(1000.0*(K*kg*m**2/J/kK/s**2)*(blocks[1].process.fs.h2turbine_props.hydrogen.cp_mol_ig_comp_coeff_A*(0.001*(kK/K)*blocks[1].process.fs.h2_turbine.compressor.control_volume.properties_in[0.0].temperature) + 0.5*blocks[1].process.fs.h2turbine_props.hydrogen.cp_mol_ig_comp_coeff_B*(0.001*(kK/K)*blocks[1].process.fs.h2_turbine.compressor.control_volume.properties_in[0.0].temperature)**2 + 0.3333333333333333*blocks[1].process.fs.h2turbine_props.hydrogen.cp_mol_ig_comp_coeff_C*(0.001*(kK/K)*blocks[1].process.fs.h2_turbine.compressor.control_volume.properties_in[0.0].temperature)**3 + 0.25*blocks[1].process.fs.h2turbine_props.hydrogen.cp_mol_ig_comp_coeff_D*(0.001*(kK/K)*blocks[1].process.fs.h2_turbine.compressor.control_volume.properties_in[0.0].temperature)**4 - blocks[1].process.fs.h2turbine_props.hydrogen.cp_mol_ig_comp_coeff_E/(0.001*(kK/K)*blocks[1].process.fs.h2_turbine.compressor.control_volume.properties_in[0.0].temperature) + blocks[1].process.fs.h2turbine_props.hydrogen.cp_mol_ig_comp_coeff_F)) + blocks[1].process.fs.h2_turbine.compressor.control_volume.properties_in[0.0].mole_frac_phase_comp[Vap,nitrogen]*(1000.0*(K*kg*m**2/J/kK/s**2)*(blocks[1].process.fs.h2turbine_props.nitrogen.cp_mol_ig_comp_coeff_A*(0.001*(kK/K)*blocks[1].process.fs.h2_turbine.compressor.control_volume.properties_in[0.0].temperature) + 0.5*blocks[1].process.fs.h2turbine_props.nitrogen.cp_mol_ig_comp_coeff_B*(0.001*(kK/K)*blocks[1].process.fs.h2_turbine.compressor.control_volume.properties_in[0.0].temperature)**2 + 0.3333333333333333*blocks[1].process.fs.h2turbine_props.nitrogen.cp_mol_ig_comp_coeff_C*(0.001*(kK/K)*blocks[1].process.fs.h2_turbine.compressor.control_volume.properties_in[0.0].temperature)**3 + 0.25*blocks[1].process.fs.h2turbine_props.nitrogen.cp_mol_ig_comp_coeff_D*(0.001*(kK/K)*blocks[1].process.fs.h2_turbine.compressor.control_volume.properties_in[0.0].temperature)**4 - blocks[1].process.fs.h2turbine_props.nitrogen.cp_mol_ig_comp_coeff_E/(0.001*(kK/K)*blocks[1].process.fs.h2_turbine.compressor.control_volume.properties_in[0.0].temperature) + blocks[1].process.fs.h2turbine_props.nitrogen.cp_mol_ig_comp_coeff_F)) + blocks[1].process.fs.h2_turbine.compressor.control_volume.properties_in[0.0].mole_frac_phase_comp[Vap,oxygen]*(1000.0*(K*kg*m**2/J/kK/s**2)*(blocks[1].process.fs.h2turbine_props.oxygen.cp_mol_ig_comp_coeff_A*(0.001*(kK/K)*blocks[1].process.fs.h2_turbine.compressor.control_volume.properties_in[0.0].temperature) + 0.5*blocks[1].process.fs.h2turbine_props.oxygen.cp_mol_ig_comp_coeff_B*(0.001*(kK/K)*blocks[1].process.fs.h2_turbine.compressor.control_volume.properties_in[0.0].temperature)**2 + 0.3333333333333333*blocks[1].process.fs.h2turbine_props.oxygen.cp_mol_ig_comp_coeff_C*(0.001*(kK/K)*blocks[1].process.fs.h2_turbine.compressor.control_volume.properties_in[0.0].temperature)**3 + 0.25*blocks[1].process.fs.h2turbine_props.oxygen.cp_mol_ig_comp_coeff_D*(0.001*(kK/K)*blocks[1].process.fs.h2_turbine.compressor.control_volume.properties_in[0.0].temperature)**4 - blocks[1].process.fs.h2turbine_props.oxygen.cp_mol_ig_comp_coeff_E/(0.001*(kK/K)*blocks[1].process.fs.h2_turbine.compressor.control_volume.properties_in[0.0].temperature) + blocks[1].process.fs.h2turbine_props.oxygen.cp_mol_ig_comp_coeff_F)) + blocks[1].process.fs.h2_turbine.compressor.control_volume.properties_in[0.0].mole_frac_phase_comp[Vap,water]*(1000.0*(K*kg*m**2/J/kK/s**2)*(blocks[1].process.fs.h2turbine_props.water.cp_mol_ig_comp_coeff_A*(0.001*(kK/K)*blocks[1].process.fs.h2_turbine.compressor.control_volume.properties_in[0.0].temperature) + 0.5*blocks[1].process.fs.h2turbine_props.water.cp_mol_ig_comp_coeff_B*(0.001*(kK/K)*blocks[1].process.fs.h2_turbine.compressor.control_volume.properties_in[0.0].temperature)**2 + 0.3333333333333333*blocks[1].process.fs.h2turbine_props.water.cp_mol_ig_comp_coeff_C*(0.001*(kK/K)*blocks[1].process.fs.h2_turbine.compressor.control_volume.properties_in[0.0].temperature)**3 + 0.25*blocks[1].process.fs.h2turbine_props.water.cp_mol_ig_comp_coeff_D*(0.001*(kK/K)*blocks[1].process.fs.h2_turbine.compressor.control_volume.properties_in[0.0].temperature)**4 - blocks[1].process.fs.h2turbine_props.water.cp_mol_ig_comp_coeff_E/(0.001*(kK/K)*blocks[1].process.fs.h2_turbine.compressor.control_volume.properties_in[0.0].temperature) + blocks[1].process.fs.h2turbine_props.water.cp_mol_ig_comp_coeff_F)) + blocks[1].process.fs.h2_turbine.compressor.control_volume.properties_in[0.0].mole_frac_phase_comp[Vap,argon]*(1000.0*(K*kg*m**2/J/kK/s**2)*(blocks[1].process.fs.h2turbine_props.argon.cp_mol_ig_comp_coeff_A*(0.001*(kK/K)*blocks[1].process.fs.h2_turbine.compressor.control_volume.properties_in[0.0].temperature) + 0.5*blocks[1].process.fs.h2turbine_props.argon.cp_mol_ig_comp_coeff_B*(0.001*(kK/K)*blocks[1].process.fs.h2_turbine.compressor.control_volume.properties_in[0.0].temperature)**2 + 0.3333333333333333*blocks[1].process.fs.h2turbine_props.argon.cp_mol_ig_comp_coeff_C*(0.001*(kK/K)*blocks[1].process.fs.h2_turbine.compressor.control_volume.properties_in[0.0].temperature)**3 + 0.25*blocks[1].process.fs.h2turbine_props.argon.cp_mol_ig_comp_coeff_D*(0.001*(kK/K)*blocks[1].process.fs.h2_turbine.compressor.control_volume.properties_in[0.0].temperature)**4 - blocks[1].process.fs.h2turbine_props.argon.cp_mol_ig_comp_coeff_E/(0.001*(kK/K)*blocks[1].process.fs.h2_turbine.compressor.control_volume.properties_in[0.0].temperature) + blocks[1].process.fs.h2turbine_props.argon.cp_mol_ig_comp_coeff_F))))) : 0.0 : True variable lower value upper blocks[1].process.fs.h2_turbine.compressor.work_isentropic[0.0] None 151.77668960558358 None blocks[1].process.fs.h2_turbine.compressor.properties_isentropic[0.0].flow_mol_phase[Vap] 0 0.01176160431208746 10000 blocks[1].process.fs.h2_turbine.compressor.control_volume.properties_in[0.0].flow_mol_phase[Vap] 0 0.011761604312087458 10000 blocks[1].process.fs.h2_turbine.compressor.properties_isentropic[0.0].mole_frac_phase_comp[Vap,hydrogen] 1e-20 0.08436666666666665 1.001 blocks[1].process.fs.h2_turbine.compressor.properties_isentropic[0.0].mole_frac_phase_comp[Vap,nitrogen] 1e-20 0.7021744897959182 1.001 blocks[1].process.fs.h2_turbine.compressor.properties_isentropic[0.0].mole_frac_phase_comp[Vap,oxygen] 1e-20 0.1881465986394558 1.001 blocks[1].process.fs.h2_turbine.compressor.properties_isentropic[0.0].mole_frac_phase_comp[Vap,water] 1e-20 0.02217176870748299 1.001 blocks[1].process.fs.h2_turbine.compressor.properties_isentropic[0.0].mole_frac_phase_comp[Vap,argon] 1e-20 0.00999999 1.001 blocks[1].process.fs.h2_turbine.compressor.control_volume.properties_in[0.0].mole_frac_phase_comp[Vap,hydrogen] 1e-20 0.08436666666666666 1.001 blocks[1].process.fs.h2_turbine.compressor.control_volume.properties_in[0.0].mole_frac_phase_comp[Vap,nitrogen] 1e-20 0.7021744897959183 1.001 blocks[1].process.fs.h2_turbine.compressor.control_volume.properties_in[0.0].mole_frac_phase_comp[Vap,oxygen] 1e-20 0.18814659863945582 1.001 blocks[1].process.fs.h2_turbine.compressor.control_volume.properties_in[0.0].mole_frac_phase_comp[Vap,water] 1e-20 0.022171768707482994 1.001 blocks[1].process.fs.h2_turbine.compressor.control_volume.properties_in[0.0].mole_frac_phase_comp[Vap,argon] 1e-20 0.00999999 1.001 blocks[1].process.fs.h2turbine_props.hydrogen.cp_mol_ig_comp_coeff_F None -0.009980797000000001 None blocks[1].process.fs.h2turbine_props.nitrogen.cp_mol_ig_comp_coeff_F None -0.0049352020000000005 None blocks[1].process.fs.h2turbine_props.oxygen.cp_mol_ig_comp_coeff_F None -0.008903471 None blocks[1].process.fs.h2turbine_props.water.cp_mol_ig_comp_coeff_F None -0.250881 None blocks[1].process.fs.h2turbine_props.argon.cp_mol_ig_comp_coeff_F None -0.00619735 None blocks[1].process.fs.h2turbine_props.hydrogen.cp_mol_ig_comp_coeff_A None 33.066178 None blocks[1].process.fs.h2turbine_props.nitrogen.cp_mol_ig_comp_coeff_A None 19.50583 None blocks[1].process.fs.h2turbine_props.oxygen.cp_mol_ig_comp_coeff_A None 31.32234 None blocks[1].process.fs.h2turbine_props.water.cp_mol_ig_comp_coeff_A None 30.092 None blocks[1].process.fs.h2turbine_props.argon.cp_mol_ig_comp_coeff_A None 20.786 None blocks[1].process.fs.h2_turbine.compressor.properties_isentropic[0.0].temperature 273.15 726.857661847991 2000 blocks[1].process.fs.h2turbine_props.hydrogen.cp_mol_ig_comp_coeff_B None -11.363417 None blocks[1].process.fs.h2turbine_props.hydrogen.cp_mol_ig_comp_coeff_C None 11.432816 None blocks[1].process.fs.h2turbine_props.hydrogen.cp_mol_ig_comp_coeff_D None -2.772874 None blocks[1].process.fs.h2turbine_props.hydrogen.cp_mol_ig_comp_coeff_E None -0.158558 None blocks[1].process.fs.h2turbine_props.nitrogen.cp_mol_ig_comp_coeff_B None 19.88705 None blocks[1].process.fs.h2turbine_props.nitrogen.cp_mol_ig_comp_coeff_C None -8.598535 None blocks[1].process.fs.h2turbine_props.nitrogen.cp_mol_ig_comp_coeff_D None 1.369784 None blocks[1].process.fs.h2turbine_props.nitrogen.cp_mol_ig_comp_coeff_E None 0.527601 None blocks[1].process.fs.h2turbine_props.oxygen.cp_mol_ig_comp_coeff_B None -20.23531 None blocks[1].process.fs.h2turbine_props.oxygen.cp_mol_ig_comp_coeff_C None 57.86644 None blocks[1].process.fs.h2turbine_props.oxygen.cp_mol_ig_comp_coeff_D None -36.50624 None blocks[1].process.fs.h2turbine_props.oxygen.cp_mol_ig_comp_coeff_E None -0.007374 None blocks[1].process.fs.h2turbine_props.water.cp_mol_ig_comp_coeff_B None 6.832514 None blocks[1].process.fs.h2turbine_props.water.cp_mol_ig_comp_coeff_C None 6.793435 None blocks[1].process.fs.h2turbine_props.water.cp_mol_ig_comp_coeff_D None -2.53448 None blocks[1].process.fs.h2turbine_props.water.cp_mol_ig_comp_coeff_E None 0.082139 None blocks[1].process.fs.h2turbine_props.argon.cp_mol_ig_comp_coeff_B None 2.82e-07 None blocks[1].process.fs.h2turbine_props.argon.cp_mol_ig_comp_coeff_C None -1.46e-07 None blocks[1].process.fs.h2turbine_props.argon.cp_mol_ig_comp_coeff_D None 1.092e-08 None blocks[1].process.fs.h2turbine_props.argon.cp_mol_ig_comp_coeff_E None -3.66e-08 None blocks[1].process.fs.h2_turbine.compressor.control_volume.properties_in[0.0].temperature 273.15 299.99999999999994 2000 count = 46 |residual| = 0.20981831690900843 air_h2_ratio : Size=1, Index=None, Active=True Key : Lower : Body : Upper : Active None : 0.0 : blocks[0].process.fs.mixer.air_feed_state[0.0].flow_mol - 10.76*(blocks[0].process.fs.mixer.purchased_hydrogen_feed_state[0.0].flow_mol + blocks[0].process.fs.mixer.hydrogen_feed_state[0.0].flow_mol) : 0.0 : True variable lower value upper blocks[0].process.fs.mixer.air_feed_state[0.0].flow_mol 0 0.010761467890991586 10000 blocks[0].process.fs.mixer.purchased_hydrogen_feed_state[0.0].flow_mol 0.0005 0.01049999 10000 blocks[0].process.fs.mixer.hydrogen_feed_state[0.0].flow_mol 0 0.00999999 10000 count = 47 |residual| = 0.20981831690900843 air_h2_ratio : Size=1, Index=None, Active=True Key : Lower : Body : Upper : Active None : 0.0 : blocks[1].process.fs.mixer.air_feed_state[0.0].flow_mol - 10.76*(blocks[1].process.fs.mixer.purchased_hydrogen_feed_state[0.0].flow_mol + blocks[1].process.fs.mixer.hydrogen_feed_state[0.0].flow_mol) : 0.0 : True variable lower value upper blocks[1].process.fs.mixer.air_feed_state[0.0].flow_mol 0 0.010761467890991586 10000 blocks[1].process.fs.mixer.purchased_hydrogen_feed_state[0.0].flow_mol 0.0005 0.01049999 10000 blocks[1].process.fs.mixer.hydrogen_feed_state[0.0].flow_mol 0 0.00999999 10000 ```

Is there anything that could or should be done here? I tried re-initializing the model, but that gives a pyomo error:

Pyomo error output ``` Traceback (most recent call last): File "/Users/dguittet/Projects/Dispatches/pyomo/pyomo/opt/base/solvers.py", line 569, in solve self._presolve(*args, **kwds) File "/Users/dguittet/Projects/Dispatches/pyomo/pyomo/opt/solver/shellcmd.py", line 208, in _presolve OptSolver._presolve(self, *args, **kwds) File "/Users/dguittet/Projects/Dispatches/pyomo/pyomo/opt/base/solvers.py", line 666, in _presolve self._convert_problem(args, File "/Users/dguittet/Projects/Dispatches/pyomo/pyomo/opt/base/solvers.py", line 717, in _convert_problem return convert_problem(args, File "/Users/dguittet/Projects/Dispatches/pyomo/pyomo/opt/base/convert.py", line 100, in convert_problem problem_files, symbol_map = converter.apply(*tmp, **tmpkw) File "/Users/dguittet/Projects/Dispatches/pyomo/pyomo/solvers/plugins/converter/model.py", line 180, in apply instance.write( File "/Users/dguittet/Projects/Dispatches/pyomo/pyomo/core/base/block.py", line 1806, in write (filename, smap) = problem_writer(self, File "/Users/dguittet/Projects/Dispatches/pyomo/pyomo/repn/plugins/ampl/ampl_.py", line 399, in __call__ symbol_map = self._print_model_NL( File "/Users/dguittet/Projects/Dispatches/pyomo/pyomo/repn/plugins/ampl/ampl_.py", line 1027, in _print_model_NL list(self_varID_map[id(var)] for var in linear_vars), File "/Users/dguittet/Projects/Dispatches/pyomo/pyomo/repn/plugins/ampl/ampl_.py", line 1027, in list(self_varID_map[id(var)] for var in linear_vars), KeyError: 140228553949248 ```

After the full solve, there is some small residuals, within the tolerance set for IPOPT and check_rank_equality_constraints gives:

Checking rank of Jacobian of equality constraints...
Model contains 537 equality constraints and 556 variables.
Computing the 10 smallest singular value(s)

Since @adowling2 is away, @jsiirola do you have any suggestions?

dguittet commented 2 years ago

Here's a slightly more detailed time profiling of solving for 4380 hrs at a time. Total run time was 6.25 hours: IPOPT solve was 5.27 hours, pre-solve was 0.829 hours. Within pre-solve, initialization was 0.55 hours and cloning was 0.269 hours. IPOPT time (in the opt.solve call) was 84% of the total time.

{
  "h2_price": 2.0,
  "ts": 4380,
  "wind_mw": 200.0,
  "batt_mw": 330.598,
  "pem_mw": 0.000441,
  "tank_kgH2": 0.0737,
  "turb_mw": 0.000208,
  "avg_turb_eff": 0.329,
  "annual_rev_h2": -8.467,
  "annual_rev_E": 50944289,
  "NPV": 388573302,
  "idaes_creation_time": 970,
  "idaes_init_time": 2010,
  "multiperiod_init": 0.000006,
  "multiperiod_build": 2982,
  "model_vars": 1213262,
  "ipopt_solved": "True",
  "ipopt_its": 2368,
  "ipopt_time": 19001,
  "ipopt_reg": "-19.1",
  "presolve_time": 2986,
  "solve_time": 19001,
  "total_run_time": 22525
}

I've uploaded the log from IPOPT as well. Overall, there aren't restoration phases and there's some regularization at the end. 4380_hr.log.zip The time split is:

Total CPU secs in IPOPT (w/o function evaluations)   =  15316.738
Total CPU secs in NLP function evaluations           =   3685.171

At $2.0/kg H2, there's no PEM selected, so this has finished faster than the other runs which have higher H2 prices and more PEM for the optimal design. I also have 1 year runs going right now. I'll update the rest as they finish.

dguittet commented 2 years ago

And here's the time profiling for 1 one of the 8736 hr runs (the other 2 are still incomplete). Total run time was 21.76 hrs, 19.02 hrs of which was in IPOPT, or 87%. 

{
  "ts": 8736,
  "h2_price": 3.0,
  "wind_mw": 200.0,
  "batt_mw": 118.4388,
  "pem_mw": 37.9098,
  "tank_kgH2": 0.1515,
  "turb_mw": 0.0001835,
  "avg_turb_eff": 0.3253,
  "annual_rev_h2": 12095933,
  "annual_rev_E": 17860958,
  "NPV": 257857205,
  "idaes_creation_time": 1803,
  "idaes_init_time": 6816,
  "multiperiod_init": 0.0000056,
  "multiperiod_build": 8622,
  "model_vars": 2419874,
  "ipopt_solved": "True",
  "ipopt_its": 2607,
  "ipopt_time": 68485.542,
  "ipopt_reg": "-",
  "presolve_time": 8629,
  "solve_time": 68485,
  "total_run_time": 78347
}

IPOPT Log 8736_hr.json.zip

ksbeattie commented 2 years ago

@dguittet any news on this?

adowling2 commented 2 years ago

@dguittet I just had a chance to look at the logs:

2092 -2.5423391e+03 1.58e-01 6.31e+00  -7.0 5.13e+01  -7.2 4.31e-02 8.76e-01h  1
2093 -2.5423662e+03 2.43e-01 4.61e+00  -7.0 5.64e+02    -  3.03e-01 6.49e-01h  1
Error in an AMPL evaluation. Run with "halt_on_ampl_error yes" to see details.
Warning: Cutting back alpha due to evaluation error
2094 -2.5423870e+03 1.50e-01 4.65e+00  -7.0 1.79e+02    -  6.43e-02 3.77e-01h  2
Error in an AMPL evaluation. Run with "halt_on_ampl_error yes" to see details.
Warning: Cutting back alpha due to evaluation error
2095 -2.5424095e+03 7.93e-02 4.46e+00  -7.0 1.90e+02    -  8.82e-02 3.73e-01h  2
Error in an AMPL evaluation. Run with "halt_on_ampl_error yes" to see details.
Warning: Cutting back alpha due to evaluation error
2096 -2.5424355e+03 4.55e-02 3.64e+00  -7.0 2.67e+02    -  2.06e-01 3.78e-01h  2
Error in an AMPL evaluation. Run with "halt_on_ampl_error yes" to see details.
Warning: Cutting back alpha due to evaluation error
2097 -2.5424683e+03 5.32e-02 3.64e+00  -7.0 2.97e+02    -  3.48e-02 3.62e-01h  2
Error in an AMPL evaluation. Run with "halt_on_ampl_error yes" to see details.
Warning: Cutting back alpha due to evaluation error
2098 -2.5425033e+03 5.89e-02 2.77e+00  -7.0 2.81e+02    -  2.44e-01 3.60e-01h  2
Error in an AMPL evaluation. Run with "halt_on_ampl_error yes" to see details.
Warning: Cutting back alpha due to evaluation error
2099 -2.5425477e+03 5.99e-02 2.42e+00  -7.0 2.60e+02    -  1.28e-01 3.35e-01h  2
Error in an AMPL evaluation. Run with "halt_on_ampl_error yes" to see details.
Warning: Cutting back alpha due to evaluation error
iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
2100 -2.5425977e+03 5.59e-02 1.97e+00  -7.0 2.40e+02    -  1.76e-01 3.23e-01h  2
2101 -2.5427031e+03 5.98e-02 1.98e+00  -7.0 3.05e+02    -  6.43e-03 5.60e-01h  1
2102 -2.5427342e+03 5.09e-02 1.81e+00  -7.0 3.32e+02    -  9.70e-02 1.63e-01h  1
2103 -2.5427676e+03 4.25e-02 1.77e+00  -7.0 3.76e+02    -  4.78e-02 1.59e-01f  1
2104 -2.5427993e+03 3.83e-02 1.48e+00  -7.0 4.03e+02    -  1.64e-01 1.44e-01f  1
2105 -2.5428366e+03 3.63e-02 1.10e+00  -7.0 4.90e+02    -  2.32e-01 1.44e-01h  1
2106 -2.5428738e+03 3.45e+00 1.11e+00  -7.0 1.04e+04    -  2.34e-02 1.15e-01h  1
2107 -2.5429087e+03 3.10e+00 9.24e-01  -7.0 1.38e+03    -  1.51e-01 1.03e-01h  1
Error in an AMPL evaluation. Run with "halt_on_ampl_error yes" to see details.
Warning: Cutting back alpha due to evaluation error
2108 -2.5430720e+03 1.65e+00 8.80e-01  -7.0 4.01e+01  -7.6 1.52e-01 4.69e-01h  2
Error in an AMPL evaluation. Run with "halt_on_ampl_error yes" to see details.
Warning: Cutting back alpha due to evaluation error
2109 -2.5431932e+03 1.24e+00 7.01e-01  -7.0 1.01e+03    -  2.16e-01 2.66e-01h  2
Error in an AMPL evaluation. Run with "halt_on_ampl_error yes" to see details.
Warning: Cutting back alpha due to evaluation error

My suggestion is to enable the halt_on_ampl_error option. Then, set symbolic_solver_labels=True in the solve call and rerun. This will tell us which constraint is causing the ampl error. This normally points to a model problem, that when sometimes addressed with a reformulation, leads to much faster Ipopt convergence.

dguittet commented 2 years ago

@adowling2 Yes, I've tracked that problem down using those options and it comes down to the isentropic_properties block in the h2 turbine's compressor and turbine, where there are log functions of mole fraction ratios. Since H2 is not optimal, as it gets minimized, IPOPT will try out values where there is a very, small negative number for those mole fraction ratios of hydrogen, leading to the ampl_error.

At @bknueven's suggestion, I have tried running IPOPT with bound_relax_factor= 0.0, and this prevents those AMPL errors but results in practically the same number of iterations and solve time.

adowling2 commented 2 years ago

@dguittet that makes sense. @radhakrishnatg does it make sense to bound these mole fractions inside the H2 turbine model components? IMO, this sounds like something better to fix in the model than on the solver side.

adowling2 commented 2 years ago

@ksbeattie This could be a low-priority issue. It is not needed for a milestone this year.

dguittet commented 2 years ago

@adowling2 @radhakrishnatg I've tried bounding those mole fractions as well but it didn't improve the situation. I think it may have taken longer or had other solve problems.

EDIT: Though I haven't tried bounding the mole fractions since fixing the air feed ratio which had been a big issue before. It's possible that now that the air feed ratio is fixed, other bounds could be tightened and have a positive impact.

dguittet commented 2 years ago

@adowling2 The plan is to make a small table of optimal designs by front loading the simulations. Then the double loop code can just read the optimal sizes given a particular H2 price (or some other parameter).

ksbeattie commented 2 years ago

@ksbeattie This could be a low-priority issue. It is not needed for a milestone this year.

@adowling2, thanks. I've moved this to the June 2022 release board, for now.

radhakrishnatg commented 2 years ago

@dguittet that makes sense. @radhakrishnatg does it make sense to bound these mole fractions inside the H2 turbine model components? IMO, this sounds like something better to fix in the model than on the solver side.

@adowling2 @dguittet This is how I initialize the translator, mixer and hydrogen turbine models:

    m.fs.translator.outlet.mole_frac_comp[0, "hydrogen"].fix(0.99)
    m.fs.translator.outlet.mole_frac_comp[0, "oxygen"].fix(0.01 / 4)
    m.fs.translator.outlet.mole_frac_comp[0, "argon"].fix(0.01 / 4)
    m.fs.translator.outlet.mole_frac_comp[0, "nitrogen"].fix(0.01 / 4)
    m.fs.translator.outlet.mole_frac_comp[0, "water"].fix(0.01 / 4)

    propagate_state(m.fs.arc_h2_tank_to_translator)
    m.fs.translator.initialize()

    # Fix the degrees of freedom of mixer and initialize
    m.fs.mixer.air_feed.flow_mol[0].fix(
        m.fs.h2_tank.outlet_to_turbine.flow_mol[0].value * air_h2_ratio
    )
    m.fs.mixer.air_feed.temperature[0].fix(pem_outlet_temperature)
    m.fs.mixer.air_feed.pressure[0].fix(pem_outlet_pressure * 1e5)
    m.fs.mixer.air_feed.mole_frac_comp[0, "oxygen"].fix(0.2054)
    m.fs.mixer.air_feed.mole_frac_comp[0, "argon"].fix(0.0032)
    m.fs.mixer.air_feed.mole_frac_comp[0, "nitrogen"].fix(0.7672)
    m.fs.mixer.air_feed.mole_frac_comp[0, "water"].fix(0.0240)
    m.fs.mixer.air_feed.mole_frac_comp[0, "hydrogen"].fix(2e-4)

    propagate_state(m.fs.arc_translator_to_mixer)
    m.fs.mixer.initialize()

After initializing the model, I unfix the molar flowrate of air to the turbine m.fs.mixer.air_feed.flow_mol.unfix() and add a constraint fixing the air-to-fuel ratio:

# Add a constraint to maintain the air to hydrogen flow ratio
    m.fs.mixer.air_h2_ratio = Constraint(
        expr=m.fs.mixer.air_feed.flow_mol[0] ==
             air_h2_ratio * m.fs.mixer.hydrogen_feed.flow_mol[0])

However, I do not unfix the mole fractions, because the composition of both the hydrogen feed and the air feed does not change during the operation. Because of this, the mole fraction of all the components entering the hydrogen turbine remain fixed, so I did not add any bounds on them. Then the only thing we need to worry about is the mole fraction of hydrogen in the outlet.

@dguittet are you fixing the conversion of hydrogen in the stoichiometric reactor? If not, please fix it to 0.99 m.fs.h2_turbine.stoic_reactor.conversion.fix(0.99). Otherwise, the optimizer will make it 0.999999 (basically, push it as close to 1 as possible), and the mole fraction of hydrogen starts approaching 0. There are two approaches to fix this. Either bound the mole fraction of hydrogen as @adowling2 suggested, or fix/bound the conversion of hydrogen. In the optimal solution, the conversion of hydrogen will always be 1, so we can fix it to a value close to 1.

Please let me know if this does not help. I can try a few more things.

radhakrishnatg commented 2 years ago

I have an approach to reduce the model build time. I am not sure if it works, but we can definitely try it and see when you have some time.

dguittet commented 2 years ago

@radhakrishnatg I also have the air feed ratio fixed, and the stoic_reactor's conversion rate to 0.99. I can re-run the model to report the AMPL errors and see if those are different now compared to when I last checked them, which was before the air feed ratio was fixed. If it's not mole fractions, it may be just the flow rates, perhaps.

The model build time is ~15% of the total time, most of it is around re-initializing the wind and wind_to_grid blocks to adapt to the time-varying wind resource. The rest of the unit models are not re-initialized.

dguittet commented 2 years ago

Well, with the latest code, I can not reproduce that AMPL error even over a few different H2 prices and time horizons...

radhakrishnatg commented 2 years ago

Okay. Is IPOPT still taking a long time to solve the problem? With the mole fraction and conversion values fixed, the hydrogen turbine model becomes linear. So, I think it may not be the reason for the slow convergence of IPOPT. Do you observe a significant reduction in computational time when you remove the hydrogen turbine?

dguittet commented 1 year ago

Need to re-visit this soon to be able to annual simulations in a reasonable time, however, this doesn't need to be in the October 2022 release

radhakrishnatg commented 1 year ago

@dguittet Could you please point me to the final version of the code? I would like to try a couple of things and see if they work.

dguittet commented 1 year ago

Couldn't speed up the nonlinear flowsheet for annual runs. Instead linearized model here: https://github.com/dguittet/dispatches/blob/re_h2_storage/dispatches/case_studies/renewables_h2_case/wind_battery_hydrogen_flowsheet.py

Closing this issue for now and future PR will bring in the above file