基于差分进化-牛顿拉夫逊算法三相潮流计算研究.pdfVIP

中国科技论文在线 基于差分进化-牛顿拉夫逊算法三相潮流计 算研究# 罗艳红，于博* 5 （东北大学信息科学与工程学院，沈阳110819 ） 摘要：本文主要考虑解决潮流计算初值选取问题的牛顿类潮流计算问题。提出基于仿射不变 量的牛顿法潮流计算收敛性定理，并给出了严谨的证明，同时得到了牛顿法收敛的必要条件， 即关于简易判断所选初值是否合适的简单判断公式。通过IEEE 标准节点测试系统仿真，证 10 明所提定理的在三相潮流计算中的正确性和实用性。根据差分进化算法的全局收敛性较强的 优点，提出了基于差分进化算法的仿射不变量牛顿法潮流计算初值选择方法，即 DE-NR(Differential Evolution-Newton Raphson)算法，可以为牛顿法提供合理初值，使得牛顿 法计算三相潮流时必然收敛。 关键词：三相潮流；收敛域；DE-NR 算法；牛顿法 15 中图分类号：TM72 The Dnalysis of Three Phase Power Flow Calculation Based on Differential Evolution-Newton Raphson LUO Yanhong, YU Bo 20 (Northeastern University ，College of Information Science and Engineering ，Shenyang 110819) Abstract : In this paper, how to choose the initial value is the main focus for the Newton-like power flow algorithm. So we has put forword the new convergence theorem of Newton-like power flow algorithm based on affine invariants and given the detailed proof. At the same time we have got a necessary condition for the convergence of Newtons method which is easily used for judge 25 the suitability of the selected initial value. The correctness and validity of the convergence theorem of Newton-like power flow algorithm was proved by the simulation of IEEE node system. At last, according to the advantage of a strong global convergence of differential evolution algorithm and lettting the Newton method as the core, we have put forword Newton power flow calculation method based on differential evolution and affine invariants. We also call it DE-NR 30 algorithm. This DE-NR algorithm can provide reasonable initial value to Newton method, so Newton method will get a ine