最优潮流问题的解耦半光滑牛顿型算法  

Decoupled Semismooth Newton Algorithm for Optimal Power Flow Problems

作　　者：罗可[1] 林睦纲[1] 童小娇[1] 

机构地区：[1]长沙理工大学计算机与通信工程学院,长沙410076

出　　处：《控制与决策》2006年第5期580-584,共5页Control and Decision

基　　金：国家自然科学基金项目(60474070;10471036);湖南省自然科学基金项目(04JJ3031;05JJ20002);湖南省科技厅项目(05FJ3074)

摘　　要：提出一种求解最优潮流(OPF)问题的新算法——解耦半光滑牛顿型算法.该算法是对作者的投影半光滑N ew ton算法的改进和提高,它除了保持原算法不必识别不等式约束、对界约束的特殊处理以减少讨论问题的维数等优点外,其显著的特点是结合了电力系统固有的弱耦合性质,构造了求解OPF问题的一类解耦半光滑牛顿算法.解耦算法可达到加快计算速度、提高计算效率的目的.IEEE多个算例的数值实验以及与其他方法的比较均显示了新算法具有良好的计算效果.A decoupled semismooth Newton algorithm for solving optimal power flow （OPF） is presented. The algorithm is an extension and improvement of previous work for OPF problem by using the projected semismooth Newton method. The proposed algorithm remains the advantages of previous algorithm such as it need not identify the active set of inequality constraints; handle the bounded constraints by a special technology to reduce the dimension of the problem, etc. Moreover, it combines the inherent weak-coupling property of power systems to construct a decoupled algorithm. The decoupled technology can arrive the aims of accelerating the computing speed and improving the computing efficiency. The examples of some standard tested IEEE systems and comparing with other algorithms show that the proposed algorithm has nice computing effect.

关 键 词：最优潮流 KKT系统 非线性互补函数 半光滑牛顿算法 分解算法 

分 类 号：TM712[电气工程—电力系统及自动化]