电力系统自动化2018，Vol.42Issue(5)：18-24,7.DOI:10.7500/AEPS20170321007
基于拉格朗日函数鞍距分配的广义内点法
Generalized Interior-point Method Based on Lagrange Function Saddle Space Distribution
朱泽安 1王承民 1马明 2于大勇3
作者信息
- 1. 上海交通大学电子信息与电气工程学院,上海市200240
- 2. 广东电网有限责任公司电力科学研究院,广东省广州市510080
- 3. 国网辽宁省电力有限公司经济技术研究院,辽宁省沈阳市110016
- 折叠
摘要
Abstract
The problem of handling inequality constraints is a difficult task in power system optimization analysis.The equality constraints of an optimization problem are slackened according to the theories of Lagrange function saddle point,so that the primal problem and the corresponding dual problem considering equality constraints are introduced.By defining the saddle space between the primal and dual problem and distributing the saddle space among inequality constraints,the modified equations in allusion to the Lagrange multipliers of inequality constraints are put forward.Furthermore,different optimization algorithms will come into being.The derivation shows that the interior point function method is just a particular case of Lagrange saddle point theory"s application.The proposed method can be applied in power system optimization analysis, especially for the task of maximum transmission ability of power system.The calculation result in IEEE 30-bus system and comparison of the result among different algorithms in IEEE 14-bus system demonstrate that the method is effective for handling the problems of load flow inequality constraints.关键词
拉格朗日函数/鞍点/优化潮流/对偶问题/间歇式电源Key words
Lagrange function/saddle point/optimal power flow/dual problem/intermittent power supply引用本文复制引用
朱泽安,王承民,马明,于大勇..基于拉格朗日函数鞍距分配的广义内点法[J].电力系统自动化,2018,42(5):18-24,7.
