摘要
提出一类新的优化算法,包括运用函数变换方法处理不等式约束、把优化问题转换为非线性不定方程组、运用牛顿-拉夫逊方法和广义逆方法求解非线性不定方程组及将优化问题转化为一系列求解非线性不定方程组的一维优化搜索过程。上述方法可综合应用于无约束和有约束优化问题,并可求解包含不等式方程的非线性方程组。介绍其在电力系统优化潮流和约束潮流问题的工程应用。新算法的实用性和有效性通过典型算例和工程应用实例得到验证。
A new kind of optimization algorithms were developed including function transform methods to treat inequalities and generalized inverse matrices method to resolve nonlinear indefinite equations. Both methods are in a comprehensive way to resolve optimization problems, which can be with or without constraints. These new algorithms are efficiency and useful, which were proved by typical and living engineering cases.
出处
《中国电力》
CSCD
北大核心
2010年第1期30-33,共4页
Electric Power
关键词
优化算法
广义逆矩阵
潮流优化
函数变换
optimization algorithm
generalized inverse matrices
electric power flow optimization
function transform