A enhanced multiple predictor-corrector interior point method for optimal power flow
Liang Xie, Hsiao‐Dong Chiang
Abstract
Liang Xie, Hsiao‐Dong Chiang
Abstract
Interior point method (IPM), as one of the most effecient methods, is being extended to solve different types of optimization problems in electric power domain. In this paper, the nonlinear OPF problem, formulated with a rectangular coordinate form, is solved using the enhanced multiple predictor-corrector interior point method, which is combined with the selection of the optimal composite direction. An two stage linesearch strategy is also employed to obtain an optimal composite direction to improve the convergence property of MPC. The proposed method is then simulated for several test system ranging in size from 57 buses to 2790 buses. Numerical results demonstrate that the proposed method can lead to convergence with a smaller number of iterations and better computational time. Moreover, the comparison with different methods shows that the proposed method can be faster and robuster than that traditonal predictor-corrector interior point method and its variant.
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Interior point method (IPM), as one of the most effecient methods, is being extended to solve different types of optimization problems in electric power domain. In this paper, the nonlinear OPF problem, formulated with a rectangular coordinate form, is solved using the enhanced multiple predictor-corrector interior point method, which is combined with the selection of the optimal composite direction. An two stage linesearch strategy is also employed to obtain an optimal composite direction to improve the convergence property of MPC. The proposed method is then simulated for several test system ranging in size from 57 buses to 2790 buses. Numerical results demonstrate that the proposed method can lead to convergence with a smaller number of iterations and better computational time. Moreover, the comparison with different methods shows that the proposed method can be faster and robuster than that traditonal predictor-corrector interior point method and its variant.
Key concepts: Interior point method, Predictor–corrector method, Convergence (economics), Mathematical optimization, Point (geometry), Computer science, Nonlinear system, Power flow