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Application of combined Newton-Raphson method to large load flow models

机译：牛顿-拉夫森组合法在大潮流模型中的应用

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Load flow is the most used calculations in power system operation planning. Renewable resources have caused that system operator has to do power flow analysis and/or contingency analysis as fast as possible in order to predict next step in power system control. LU Decomposition of Jacobian matrix remains the most computationally expensive task during Newton-Raphson iterative method. Computational time appears to be critical issue when load flow calculation is performed on large power system load flow models. In this case, Jacobian matrix LU decomposition should not be performed in iterations in which convergence rate is not violated but performed in iterations in which convergence rate drop below specified level. In other words, modified Newton-Raphson Method which eliminates the repeated Jacobian matrix LU decomposition and generic Newton-Raphson method are combined depending on convergence rate. The paper presents application of proposed combined Newton-Raphson method which is based on convergence rate control. Comparison of combined, Shamanskii, generic, and modified Newton-Raphson methods is carried out taking into consideration computational time and number of iterations required to achieve convergence of load flow models of various dimensions. (C) 2015 Elsevier B.V. All rights reserved.
机译：潮流是电力系统运行计划中最常用的计算。可再生资源导致系统运营商必须尽快进行潮流分析和/或应变分析，以预测电力系统控制的下一步。在牛顿-拉夫森迭代方法中，雅可比矩阵的LU分解仍然是计算量最大的任务。在大型电力系统潮流模型上执行潮流计算时，计算时间似乎是关键问题。在这种情况下，不应在不违反收敛速度的迭代中执行雅可比矩阵LU分解，而应在收敛速度降至指定水平以下的迭代中执行。换句话说，根据收敛速度，将消除重复的雅可比矩阵LU分解的改进牛顿-拉夫森方法与通用牛顿-拉夫森方法结合起来。本文介绍了基于收敛速度控制的牛顿-拉夫森组合牛顿法的应用。比较合并的Shamanskii方法，通用方法和改进的Newton-Raphson方法时，要考虑计算时间和实现各种尺寸潮流模型收敛所需的迭代次数。 （C）2015 Elsevier B.V.保留所有权利。

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