Advisors: Hemanshu Kaul and Michael Pelsmajer
We are going to build a model about small size power grid, which is called "Microgrid". The goal is to satisfy the (local) demand, optimized distribution, fairness requirement, reliable, and extensible of microgrid.
Potential reference papers:
Borghetti, Alberto, et al. "A Two-Stage Scheduler of Distributed Energy Resources." Power Tech, 2007 IEEE Lausanne. IEEE, 2007. link
Li, G. C., et al. "Development of a GHG-mitigation oriented inexact dynamic model for regional energy system management." Energy 36.5 (2011): 3388-3398. link
Wong, Steven, and J. David Fuller. "Pricing energy and reserves using stochastic optimization in an alternative electricity market." Power Systems, IEEE Transactions on 22.2 (2007): 631-638. link
Wallace, Stein W., and Stein-Erik Fleten. "Stochastic programming models in energy." Handbooks in operations research and management science 10 (2003): 637-677. link
Niknam, Taher, Rasoul Azizipanah-Abarghooee, and Mohammad Rasoul Narimani. "An efficient scenario-based stochastic programming framework for multi-objective optimal micro-grid operation." Applied Energy (2012). http://www.sciencedirect.com/science/article/pii/S0306261912003030
Shen, Siqian. "Optimizing designs and operations of a single network or multiple interdependent infrastructures under stochastic arc disruption." Computers & Operations Research (2013). http://www.sciencedirect.com/science/article/pii/S0305054813001287
Hines, Paul, et al. "The topological and electrical structure of power grids." System Sciences (HICSS), 2010 43rd Hawaii International Conference on. IEEE, 2010. http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=5428366&tag=1
Zhang, Weixiong, et al. "Distributed stochastic search and distributed breakout: properties, comparison and applications to constraint optimization problems in sensor networks." Artificial Intelligence 161.1 (2005): 55-87. http://www.sciencedirect.com/science/article/pii/S0004370204001481
Gregoratti, David, and Javier Matamoros. "Distributed Energy Trading: The Multiple-Microgrid Case." arXiv preprint arXiv:1307.7622 (2013). http://arxiv.org/abs/1307.7622
Dall'Anese, Emiliano, and Georgios B. Giannakis. "Risk-Constrained Microgrid Reconfiguration Using Group Sparsity." arXiv preprint arXiv:1306.1820 (2013). http://arxiv.org/abs/1306.1820
Sobe, Anita, and Wilfried Elmenreich. "Smart microgrids: Overview and outlook." arXiv preprint arXiv:1304.3944 (2013). http://arxiv.org/abs/1304.3944
Winston, Wayne L., and Jeffrey B. Goldberg. Operations research: applications and algorithms. Belmont: Thomson/Brooks/Cole, 2004.
Bertsimas, Dimitris, and John N. Tsitsiklis. "Introduction to linear optimization." (1997).
Shapiro, Alexander, Darinka Dentcheva, and Andrzej P. Ruszczyński. Lectures on stochastic programming: modeling and theory. Vol. 9. SIAM, 2009. link
Wallace, Stein W., and William T. Ziemba, eds. Applications of stochastic programming. Siam, 2005. link
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Optimization and Stochastic Modeling applied to Transportation, Distribution and Logistics, especially in the following areas: Vehicle Routing and Scheduling, Distribution Operations, Distribution Network Design, Yield Management, Terminal Design and Operations, Logistics Planning and Control, Multimodal Transportation, Intelligent Transportation Systems. Profile link
p.s. For researchers and students from Applied Mathematics division, if you are interested in large complex systems, and want to work on energy related research, please read a report from DOE: At the U.S. Department of Energy: Past, Present and a View of Future. It may help you to understand how to begin your research and set up a startpoint.