基于NCP理论的光滑牛顿法在无功优化中的应用
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Application of NCP based smoothing Newton method in reactive power optimization
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    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。

    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.

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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,V41(20):99-104]

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