| 非线性原-对偶内点法无功优化中的修正方程降维方法 |
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| 引用本文： | 常鲜戎,张亮平,郑焕坤. 非线性原-对偶内点法无功优化中的修正方程降维方法[J]. 电网技术, 2011, 0(5) |
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| 作者姓名： | 常鲜戎 张亮平 郑焕坤 |
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| 作者单位： | 华北电力大学电气与电子工程学院; |
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| 摘 要： | 针对无功优化模型中含有离散变量的问题,采用非线性原–对偶内点法进行求解。根据卡罗需–卡恩–塔克条件下修正方程结构稀疏的特点,首先将松弛变量和不等式拉格朗日乘子的增量用决策变量的增量表示,再将其代入修正方程并从中消去变比和无功电源出力的增量,最终降维后方程仅含节点电压幅值及相角、等式拉格朗日乘子增量。在计及变比和无功补偿装置出力的离散性约束条件下,通过增加无功电源出力作为优化变量,保证了修正方程中变比的海森矩阵始终为对角矩阵,扩展了降维处理方法的适用范围。算例结果验证了该降维方法的有效性。
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| 关 键 词： | 无功优化 非线性原–对偶内点法 离散变量 修正方程 降维 |
Dimension Reduction of Modified Equation for Reactive Power Optimization Based on Nonlinear Primal-dual Interior Point Algorithm |
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| CHANG Xianrong,ZHANG Liangping,ZHENG Huankun. Dimension Reduction of Modified Equation for Reactive Power Optimization Based on Nonlinear Primal-dual Interior Point Algorithm[J]. Power System Technology, 2011, 0(5) |
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| Authors: | CHANG Xianrong ZHANG Liangping ZHENG Huankun |
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| Affiliation: | CHANG Xianrong,ZHANG Liangping,ZHENG Huankun(School of Electrical and Electronic Engineering,North China Electric Power University,Baoding 071003,Hebei Province,China) |
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| Abstract: | The nonlinear primal-dual interior point algorithm is used to solve the reactive power optimization model containing discrete variables.According to the feature that the structure of modified equation is sparse under Karush-Kuhn-Tucker(K-K-T) condition,firstly the increments of slack variables and those of Lagrangian multipliers of inequality is expressed by increments of decision variables;then the increments of decision variables are substituted into modified equation and from the modified equation the in... |
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| Keywords: | reactive power optimization nonlinear primal-dual interior point algorithm discrete variables modified equations dimension reduction |
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