Eliminating Redundant Line Flow Constraints in Composite System Reliability Evaluation

• Published in: IEEE transactions on power systems Vol. 28; no. 3; pp. 3490 - 3498
• Main Authors: Hua, Bowen, Bie, Zhaohong, Liu, Cong, Li, Gengfeng, Wang, Xifan
• Format: Journal Article
• Language: English
• Published: IEEE 01.08.2013
• Subjects: Composite system reliability; Equations; Interconnected systems; Linear programming; Mathematical model; optimal power flow; redundant constraints; Reliability; Transmission line matrix methods; Vectors
• ISSN: 0885-8950; 1558-0679
• DOI: 10.1109/TPWRS.2013.2248762

Reliability evaluation of composite systems involves extensive calculations. Current solutions to this computational burden have mainly focused on extracting failure states from the state space. Instead, the evaluation of failure states is accelerated by methods presented in this paper. The scale of optimizations required for generation redispatching and/or load shedding in failure states is reduced by eliminating redundant line flow constraints. First, a sufficient and necessary condition for a line flow constraint to be redundant is established in the form of a linear programming problem, based on the concept of steady-state security region (SSR). Then, two redundancy elimination methods are proposed-a conservative one based on a heuristic, and a radical one based on an analytical condition. Numerical tests are conducted on IEEE-RTS79 and a real-life system. More than half of the line flow constraints are eliminated by the conservative method and nearly 90% by the radical method. The proposed methods can be used in conjunction with most of the existing acceleration techniques to further improve efficiency.