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Center for Nonlinear Studies |
Aiming to relieve transmission grid congestion, improve or extend feasibility domain of the operations and reduce overall energy generation cost by supporting transport of cheap energy to the demand places, we build optimization heuristics, generalizing standard AC Optimal Power Flow (OPF) procedure by introduction of additional degrees of freedom related to FACTS devices. Planning problem of placement and sizing of FACTS devices of the Series Compensation (SC) and Static VAR Compensation (SVC) type is stated and effectively solved. Optimization methodology accounts for the general AC case and works with multiple loading scenarios taking probability of each into account. Simultaneously we find optimal investment (capacities) and device settings for each scenario accounting for the flexibility of the installed compensators. Our solution of the nonlinear and non-convex generalized AC-OPF problem consists of building a convergent sequence of convex optimizations containing only linear constraints. The approach is demonstrated on single and multi-scenarios examples of the Matpower 30-bus system, 24-bus IEEE RTS system and practical models of the Polish network. A special technique of sampling of loading scenarios is introduced. Cutting plane technique is used in order to improve the performance and prove scalability of the developed approach. Also, special web visualization tool was developed in order to analyze and demonstrate the results.
Host: Emre Yamangil