基于NCP理论的光滑牛顿法在无功优化中的应用  

Application of NCP based smoothing Newton method in reactive power optimization

作　　者：汝锐锐[1] 周步祥[1] 林楠[2] 孔祥聪[1] 叶宗斌[1] 肖贤[1] 

机构地区：[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

出　　处：《电力系统保护与控制》2013年第20期99-104,共6页Power System Protection and Control

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。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.

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 

分 类 号：TM714.3[电气工程—电力系统及自动化]