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电网技术  2011 

非线性原–对偶内点法的无功优化中修正方程降维方法

, PP. 46-51

Keywords: 无功优化,非线性原–对偶内点法,离散变量,修正方程,降维

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Abstract:

在有功调度方式给定的条件下,将无功电源出力、可调变压器变比、节点电压幅值和相角作为决策变量,以系统中有功网损最小作为目标函数建立无功优化数学模型。针对优化中含离散变量的问题,采用内嵌二次罚函数的非线性原—对偶内点法求解该优化模型。根据Karush-Kuhn-Tucker(K-K-T)条件下修正方程结构的特点,对其进行降维处理,最终得到仅含节点电压幅值和相角以及拉格朗日等式因子的修正方程最小解结构。最后用算例验证所提降维方法的正确性和有效性。

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