求解大规模AC/DC最优潮流的连续递推内点算法  

An Interior Point Method Based on Continuous Analogy Method for Optimal Power Flow of Large Scale AC/DC Systems

作　　者：赵晓慧[1] 阳育德[1] 韦化[1] 

机构地区：[1]广西电力系统最优化与节能技术重点实验室(广西大学),广西壮族自治区南宁市530004

出　　处：《中国电机工程学报》2013年第4期171-178,23,共8页Proceedings of the CSEE

基　　金：国家自然基金项目(51107011;51167001);广西理工科学实验中心重点项目(LGZX201209)~~

摘　　要：提出连续递推的内点算法框架,以期解决原始–对偶内点法求解大规模交直流系统最优潮流收敛难的问题。基于牛顿法的连续递推思想,将一阶KKT(Karush-Kuhn-Tucker)非线性方程组转化为自治常微分方程组,可采用多种数值积分方法求解,进而获得不同于传统牛顿法的新方向,改善了原始–对偶内点法的收敛性。多达11585条线路的5个大规模实际系统的计算表明,该算法步长大、收敛性好、鲁棒性强,特别适合求解大规模交直流系统在苛刻运行条件下的最优潮流问题,具有广阔的应用前景。This paper presented a new framework of interior point method（IPM） based on a continuous analogy method.It overcame the convergence difficulty of optimal power flow（OPF） problem for the large scale AC/DC systems when using primal-dual interior point method.Based on the continuous analogy of the Newton’s method,the nonlinear KKT（Karush-Kuhn-Tucker） equations in the IPM were transformed to a set of autonomous ordinary differential equations（AODEs）.Therefore,many numerical integration methods could be used to calculate the continuous analogy model.Furthermore,different direction was obtained through a numerical integration method,whose convergence was better than that through the Newton’s method.Simulations were carried out to evaluate the performance of the proposed algorithm on five practical large scale systems,the largest one of which had 11 585 lines.The algorithm shows long step length,good convergence and strong robustness especially for large scale AC/DC systems with stressed conditions.

关 键 词：连续递推法 现代内点法 交直流系统 最优潮流 自治常微分方程组 

分 类 号：TM71[电气工程—电力系统及自动化]