Jon Shimwell parametric TBR model for HCPB blanket #196

Closed jonmaddock closed 1 year ago

In GitLab by @mkovari on Feb 18, 2015, 15:31

All the equations and parameters are in:
'A parameter study of time-varying tritium production in solid-type breeder blankets'
J. Shimwell, M. Kovari, S. Lilley, S. Zheng, L. Morgan, L.W. Packer, J. McMillan
Submitted to Fusion Engineering and Design. Note that the version on the Pinboard (28/5/15) is incorrect.

(Note that I have reused some names from the KIT model below)

Inputs

iblanket /1/ : switch for blanket model: <UL>
              = 1 CCFE HCPB model;
              = 2 KIT HCPB model
              = 3 CCFE HCPB model with Tritium Breeding Ratio calculation

breeder_fraction /0.154/ : Volume of Li4SiO4 / (Volume of Be12Ti + Li4SiO4) [iteration variable 108, default bounds: lower 0.001, upper 1].
li6enrich /30.0/ : lithium-6 enrichment (%) [iteration variable 98, default bounds: lower 7.4, upper 100]
tbrmin /1.1/ : minimum 5-year time-averaged tritium breeding ratio (constraint equation 52)
ftbr /1.0/ : f-value for constraint 52 [iteration variable, default bounds: lower 0.001, upper 1].
iblanket_thickness /1/ : Blanket thickness switch:

= 0 thin 0.53 m inboard, 0.91 m outboard
= 1 medium 0.64 m inboard, 1.11 m outboard
= 2 thick 0.75 m inboard, 1.30 m outboard

Outputs
blnkith : inboard blanket thickness (m) - see Table 1 from reference
blnkoth : outboard blanket thickness (m) - see Table 1 from reference
tbr : 5-year time-averaged tritium breeding ratio - see Equation 2

The required output (either TBR or T inventory in kg) can be found by knowing the breeder fraction (0.06 to 1) (x), the 6Li atom fraction (0.1 to 1) (y), blanket thickness and the values of the 19 coefficients.

For Eurofer and helium content, see section 2.2 of reference.
For the fitting constants, please see the files attached below.

In GitLab by @mkovari on Mar 9, 2015, 09:35

Thin blanket 70_coeff_TBR.txt

In GitLab by @mkovari on Mar 9, 2015, 09:35

Medium blanket 85_coeff_TBR.txt

In GitLab by @mkovari on Mar 9, 2015, 09:39

Thick blanket 100_coeff_TBR.txt

In GitLab by @mkovari on May 28, 2015, 13:36

TESTS. Compare with Jon's file attached

Lithium-6 enrichment (%)      (li6enrich)                  30.000000
Breeder fraction by volume: Li4SiO4/(Be12Ti+Li4SiO4)        0.588235

THIN (0.53 m inboard, 0.91 m outboard)        
Tritium breeding ratio (5-year time-averaged) (tbr)      1.064599
Compare: 0.588235294118, 0.3,  1.06459910318

MEDIUM (0.64 m inboard, 1.11 m outboard)
Tritium breeding ratio (5-year time-averaged)(tbr)        1.075825
0.588235294118, 0.3, 1.07582474261

THICK (0.75 m inboard, 1.30 m outboard)        
Tritium breeding ratio (5-year time-averaged)    (tbr)   1.081132

Compare: 0.588235294118, 0.3, 1.08113168899

mk_delta_TBR.txt

In GitLab by @mkovari on May 29, 2015, 08:11

mentioned in commit c5bf7354a2c33ddd7df372d67740eaae766ad556

ukaea / PROCESS

Jon Shimwell parametric TBR model for HCPB blanket #196