Authors: QuanYuan Jiang ZhenXiang Han
Publish Date: 2009/03/25
Volume: 52, Issue: 4, Pages: 944-954
Abstract
Optimal power flow OPF has been considered as an important problem in power systems Although several excellent algorithms such as Newton method and interior point method have been developed to solve the OPF problem divergences still often occur Till now few works have focused on the solvability identification and feasibility restoring of divergent OPF problems In this paper we propose a systematic approach to identify the solvability of divergent OPF problems and restore a feasible solution for unsolvable OPF cases The proposed approach consists of two phases solvability identification phase SIP and feasibility restoring phase FRP In SIP a novel methodology based on problem transformation and active set is adopted to identify the solvability of divergent OPF problem If a feasible solution can be obtained in SIP then this divergent OPF problem is solvable otherwise FRP is used to restore a feasible or optimal solution by relaxing soft constraints and load shedding In FRP a feasibility restoring model is presented and a prioritylisting strategy of restoring actions is proposed to restore the unsolvable OPF problems Numerical studies indicate that the proposed SIP and FRP are reliable to diagnose the solvability of the divergent OPF problems give an index to measure the unsolvability and restore an unsolvable OPF case
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