2011Electric Power Components and SystemsRequires access

Weighted Multiple Predictor-corrector Interior Point Method for Optimal Power Flow

Liang Xie, Hsiao‐Dong Chiang

Open publisher page 7 citations

Abstract

The interior point method is considered one of the most efficient methods for solving different types of optimal power flow problems. In this article, a weighted multiple predictor-corrector interior point method is proposed and applied to solve two non-linear optimal power flow problems, which include the generation cost minimization problem and the active power loss minimization problem. A two-stage line-search strategy is employed to obtain the optimal composite direction in order to improve the convergence property of the predictor-corrector interior point method. The proposed method is evaluated on three IEEE test systems and three large-scale systems ranging in size from 57 to 2790 buses. Numerical results demonstrate that, compared with the original multiple predictor-corrector interior point method, the proposed method can converge to an optimal power flow solution with a fewer iterations and faster computational time. Moreover, comparison numerical studies show that the proposed method can be faster and more robust than that traditional predictor-corrector interior point method and its variants.

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What this paper is about

The interior point method is considered one of the most efficient methods for solving different types of optimal power flow problems. In this article, a weighted multiple predictor-corrector interior point method is proposed and applied to solve two non-linear optimal power flow problems, which include the generation cost minimization problem and the active power loss minimization problem. A two-stage line-search strategy is employed to obtain the optimal composite direction in order to improve the convergence property of the predictor-corrector interior point method. The proposed method is evaluated on three IEEE test systems and three large-scale systems ranging in size from 57 to 2790 buses. Numerical results demonstrate that, compared with the original multiple predictor-corrector interior point method, the proposed method can converge to an optimal power flow solution with a fewer iterations and faster computational time. Moreover, comparison numerical studies show that the proposed method can be faster and more robust than that traditional predictor-corrector interior point method and its variants.

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Available abstract

The interior point method is considered one of the most efficient methods for solving different types of optimal power flow problems. In this article, a weighted multiple predictor-corrector interior point method is proposed and applied to solve two non-linear optimal power flow problems, which include the generation cost minimization problem and the active power loss minimization problem. A two-stage line-search strategy is employed to obtain the optimal composite direction in order to improve the convergence property of the predictor-corrector interior point method. The proposed method is evaluated on three IEEE test systems and three large-scale systems ranging in size from 57 to 2790 buses. Numerical results demonstrate that, compared with the original multiple predictor-corrector interior point method, the proposed method can converge to an optimal power flow solution with a fewer iterations and faster computational time. Moreover, comparison numerical studies show that the proposed method can be faster and more robust than that traditional predictor-corrector interior point method and its variants.

Key concepts: Power flow, Predictor–corrector method, Interior point method, Flow (mathematics), Mathematical optimization, Mathematics, Power (physics), Point (geometry)

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