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| A Predictor-Corrector Interior Point Method for Optimal Reactive Power |
| Cheng Junzhao1, Li Shusen1, Cheng Qiang2 |
| 1. State Grid Electric Power Research Institute Wuhan 430074 China 2. Xi'an Jiaotong University Xi'an 710049 China |
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Abstract Reactive optimal power flow is a nonlinear large-scale optimization problem. Predictor-corrector interior pointer method (PCIP) shows excellence performance on this problem. In an iteration in conventional PCIP, the affine scaling direction is obtained in predictor step so as to evaluate the second order terms of taylor expansions for complementarity functions and obtain the corrector step further. In this paper, an improved partner of PCIP is proposed. The method is in a new rectangle coordination model. In this model, all KKT equations are transformed to quadratic or linear ones. The proposed method works in the similar way as conventional PCIP in predictor step, but it evaluates the second order terms of all the functions instead. Then it calculates the corrector step. Numerical tests are carried out and the results confirms the priority of the proposed method to conventional one.
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Received: 08 December 2008
Published: 12 December 2014
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[1] Sergio Granville. Optimal reactive dispatch through interior point method[J]. IEEE Transactions on Power Systems, 1994, 9(1): 136-145.
[2] Momoh J A, Zhu J Z. Improved interior point method for OPF problems[J]. IEEE Transactions on Power Systems, 1999, 14(3): 1114-1120.
[3] Edgardo D Csstronuovo, Jorge M Campagnolo, Roberto Salgado. On the application of high performance computation techniques to nonlinear interior point methods[J]. IEEE Transactions on Power Systems, 2001, 16(3): 325-331.
[4] Wu Y C, Debs A S, Marsten R E. A direct nonlinear predictor-corrector primal-dual interior point algorithm for optimal power flows[J].IEEE Transactions on Power System, 1994, 9 (2): 876-883.
[5] Geraldo L Torres. On a nonlinear multiple-centrality- corrections interior-point method for optimal power flow[J]. IEEE Transactions on Power Systems, 2001, 16 (2): 222-228.
[6] 覃振成, 乐秀璠, 蓝澜, 等. 基于改进非线性预报—校正内点法的最优潮流[J]. 电力系统自动化, 2005, 29(9): 25-30.
[7] Yu Chi Wu. Fuzzy second correction on complementarity condition for optimal power flows[J]. IEEE Transactions on Power Systems, 2001, 16(3): 360-366.
[8] 余娟, 颜伟, 徐国禹, 等. 基于预测-校正原对偶内点法的无功优化新模型[J]. 中国电机工程学报, 2005, 25(11): 146-151.
[9] 诸骏伟. 电力系统分析(上)[M]. 北京：中国电力出版社, 1995.
[10] 程莹, 刘明波. 含离散控制变量的大规模电力系统无功优化[J]. 中国电机工程学报, 2002, 22(5): 54-60 . |
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2010, Vol. 25 
