引用本文:汝锐锐,周步祥,林楠,等.基于NCP理论的光滑牛顿法在无功优化中的应用[J].电力系统保护与控制,2013,41(20):99-104.
RU Rui-rui,ZHOU Bu-xiang,LIN Nan,et al.Application of NCP based smoothing Newton method in reactive power optimization[J].Power System Protection and Control,2013,41(20):99-104
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基于NCP理论的光滑牛顿法在无功优化中的应用
汝锐锐1, 周步祥1, 林楠2, 孔祥聪1, 叶宗斌1, 肖贤1
1.四川大学电气信息学院，四川 成都 610065;2.四川电力职业技术学院，四川 成都 610071
摘要:
采用经典的无功优化模型，以系统网损最小为目标函数。依据非线性互补理论，构造NCP函数，将KKT条件中的不等式约束转换为等价的非线性方程，然后用牛顿法求解。用同样的方法来处理离散变量，即构造一个与离散变量的约束条件等价的离散NCP函数，嵌入牛顿法中迭代计算。最后，由经典IEEE系统的计算结果表明：该算法收敛速度与传统方法相当，能有效降低网损，具有大范围收敛性。
关键词:  无功优化  离散变量  非线性互补  牛顿法  混合整数优化
DOI：10.7667/j.issn.1674-3415.2013.20.016
分类号:
基金项目:
Application of NCP based smoothing Newton method in reactive power optimization
RU Rui-rui,ZHOU Bu-xiang,LIN Nan,et al
Abstract:
This paper uses the classic reactive optimization model and takes the minimum of net loss as the objective function. According to nonlinear complementary theory, a NCP function is constructed. In the method, the inequality constraints in the Karush-Kuhn-Tucker (KKT) conditions are transformed to be equivalent smooth nonlinear equations, and solved by Newton method. Discrete variables are handled in the same way, namely, constructing a discrete NCP function equivalent to discrete variables constraints and conducting an iterative calculation through Newton method. Finally, the classic IEEE calculation results show that the proposed algorithm has a good convergence speed like traditional algorithm. It reduces net loss effectively and has large convergence region.
Key words:  reactive power optimization  discrete variables  nonlinear complementary  Newton method  mixed integer optimization
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