电力系统潮流多解的同伦算法  

Homotopy method to find all solutions of power flow equations for electric power systems

作　　者：谷根代[1] 赵金峰[2] 王晓昆[1] 

机构地区：[1]华北电力大学数理学院,河北保定071003 [2]张家口供电公司,河北张家口075700

出　　处：《电力科学与工程》2011年第7期21-24,共4页Electric Power Science and Engineering

摘　　要：电力系统潮流方程大多是亏欠的多元多项式方程组,可利用同伦方法求其全部解。将变元进行分组,找出潮流方程的最小m-Bezóut数并恰当构造同伦映射,达到全部或部分排除发散路径,同时避免漏解现象。实例验证了该算法的有效性。Power flow equations for electric power systems is all most deficient polynomial systems, which have- mult-variables, and make the homotopy method to find all solutions, dividing the variables into several groups, need to find the minimal-homogeneous Bezout number and construct the Homotopy method, in order to get rid of the whole or the part noconvergent traces and avoid the phenomenon of resolution omission. Numerical examples are given to confim the validity of the numerical methods.

关 键 词：电力系统潮流 最小m-Bezóut数 同伦算法 

分 类 号：TM744[电气工程—电力系统及自动化]