| 半无限优化的光滑化拟Newton法及其在最优潮流中的应用 |
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| 引用本文： | 邴萍萍,童小娇.半无限优化的光滑化拟Newton法及其在最优潮流中的应用[J].电工标准与质量,2006,21(4):1-6. |
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| 作者姓名： | 邴萍萍 童小娇 |
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| 作者单位： | 长沙理工大学数学与计算科学学院 湖南长沙410076 |
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| 基金项目： | 国家自然科学基金（60474070）;湖南省自然科学基金（04JJ3031） |
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| 摘 要： | 提出求解半无限优化(SIP)问题的一类新算法—光滑化拟Newton法.基于非线性互补函数(non linearcomp lem entary prob lem-NCP function),转化SIP问题的KKT系统为非光滑方程组,设计光滑化拟Newton法求解该方程系统.该方法的特点是在每步迭代中只需求解一个线性方程组系统,且算法具有较好的全局与局部超线性收敛性.利用该方法求解电力系统暂态稳定约束的最优潮流(optim al power flows w ith transient stab ility constraints-OTS)问题,计算结果显示该算法的有效性.
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| 关 键 词： | 半无限优化 光滑化拟Newton法 暂态稳定约束 最优潮流 收敛性 |
| 文章编号： | 1006-7140（2006）04-0001-06 |
| 收稿时间： | 2006-06-09 |
Smoothing Quasi-Newton Method for Solving Semi-Infinite Programming with Application to OPF Problems |
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| BING Ping-ping, TONG Xiao-jiao.Smoothing Quasi-Newton Method for Solving Semi-Infinite Programming with Application to OPF Problems[J].Journal of Changsha University of Electric Power(Natural Science Edition),2006,21(4):1-6. |
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| Authors: | BING Ping-ping TONG Xiao-jiao |
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| Affiliation: | College of Mathematics and Computing Science, Changsha University of Science and Technology, Changsha 410076, China |
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| Abstract: | This paper presents a smoothing Quasi-Newton method for solving the semi-infinite programming(SIP).Based on the nonlinear complementary problem(NCP) function,the KKT system of the SIP problem is reformulated to a system of nonsmooth equations.A smoothing Quasi-Newton method is designed to solve this system.The remarkable characteristic of the method is that it only solves a system of linear equations at each iteration;and it enjoys nice global and locally superlinear convergence.Finally,the algorithm is used to solve the optimal power flows with transient stability constraints(OTS) in power systems.Numerical results show the effectiveness of the proposed approach. |
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| Keywords: | semi-Infinite programming smoothing quasi-newton methods transient stability constraint optimal power flow convergence |
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