Applications of ellipsoidal approximations to polyhedral sets in power system optimization

作者：Saric Andrija T^*; Stankovic Aleksandar M

来源：IEEE Transactions on Power Systems, 2008, 23(3): 956-965.

DOI：10.1109/TPWRS.2008.926435

• load dispatching
• optimization methods
• power generation dispatch
• power system security

The paper presents a computational method that approximates feasible sets specified by linear or convex inequalities. This numerically efficient approach to power system optimization is based on computational geometry of multidimensional ellipsoids and is potentially applicable to problems with high dimensions, as it builds on recent advances in convex optimization. In an important application, it provides ranges in which nodal (generator) injections can vary without violating operational constraints in security analysis. The model is applied to two important problems in deregulated power systems: optimal economic dispatch (OED) and calculation of locational marginal prices (LMPs) in a day-ahead power market. Optimization problem with convex (ellipsoid-based) constraints is solved by a linear matrix inequality (LMI)-based procedure. The method is verified on the benchmark example with 68 buses, 16 generators, and 86 lines.

• 出版日期2008-8
• 单位东北大学