面向电网运行方式计算的不收敛潮流无功调整方法

Reactive power adjustment method of non-convergent power flow for power system operation mode calculation

潮流收敛调整是电网运行方式计算的重要工作,其中无功安排不合理是潮流不收敛的重要原因之一。由于无功问题非线性较强,凭借人工经验进行调整较为困难。为此,提出了基于自适应Levenberg-Marquardt的不收敛潮流无功调整方法,将原始问题分解为序列二次规划形式的有功子问题和无功子问题,引入自适应阻尼因子。利用增广拉格朗日函数及信赖域方法决定是否接受迭代步长的更新。详细分析了所提方法能够提升数值稳定性的原因。通过对IEEE300节点系统、波兰3375节点系统以及某省级电网实际系统的算例分析表明,所提方法能够给出无功调整的最小二乘解以实现潮流收敛,进而为方式人员进行潮流调整提供参考和借鉴。

Power flow convergence adjustment is an important part of the calculation of power system operation modes.Unreasonable reactive power arrangement is one of the important reasons for power flow divergence.Since there is strong non-linearity in the reactive power problem,it is difficult to adjust power flow just by human experience.To this end,this paper proposes a reactive power adjustment method for power flow convergence based on the adaptive Levenberg-Marquardt method,which introduces adaptive damping factors and decomposes the original problem into active and reactive sub-problems in the form of sequential quadratic programming.Augmented Lagrange function and trust region methods are used to decide whether the update of the iteration step can be accepted.The reasons why the proposed method can improve the numerical stability are also analyzed in detail.The numerical analysis of a IEEE 300-bus system,Poland’s 3375-bus system and a provincial power system shows that the proposed method can give the least squares solution of reactive power adjustment to achieve power flow convergence,and provide reference for power system operators in power flow adjustment.