自适应Levenberg-Marquardt方法提高潮流计算收敛性

发布时间：2018-06-14 12:50

本文选题：自适应LM方法 + 潮流计算　；参考：《中国电机工程学报》2015年08期

【摘要】：Levenberg-Marquardt(LM)方法是一种求解病态非线性方程组的数值算法。LM方法的性能取决于阻尼因子的选取及更新策略。提出一种带自适应阻尼因子的LM方法来提高潮流计算的收敛性。针对电力系统良态潮流、病态潮流和潮流无解等3种情况,详细分析所提方法提高潮流计算收敛性的原因和机理。针对自适应LM迭代步中求逆矩阵的特殊结构,提出一种自适应LM迭代步的稀疏实现方法。对4个实际系统(含国网21 479节点系统)和1个IEEE 300节点标准系统进行仿真计算后结果表明:自适应LM方法能够得到良态或病态潮流的精确解以及潮流无解时的最小二乘解,因此具有很强的适应能力。在病态或无解的情况下,所提方法得到的计算结果可为后续的潮流调整提供有效依据。
[Abstract]:Levenberg-Marquardt LMmethod is a numerical algorithm for solving ill-conditioned nonlinear equations. The performance of LM method depends on the selection of damping factor and updating strategy. A LM method with adaptive damping factor is proposed to improve the convergence of power flow calculation. In this paper, the reason and mechanism of the proposed method to improve the convergence of power flow calculation are analyzed in detail for the three cases of good power flow, sick power flow and no power flow solution. Aiming at the special structure of the inverse matrix in adaptive LM iterative step, a sparse implementation method of adaptive LM iterative step is proposed. The simulation results of four real systems (including 21,479-bus system with national network) and an IEEE 300-bus standard system show that the adaptive LM method can obtain the exact solution of good or ill-conditioned power flow and the least square solution of power flow without solution. Therefore has the very strong adaptability. In the case of ill-condition or no solution, the results obtained by the proposed method can provide an effective basis for subsequent power flow adjustment.
【作者单位】：电力传输与功率变换控制教育部重点实验室(上海交通大学);上海交通大学数学系;中国电力科学研究院;
【基金】：国家电网公司大电网重大专项资助项目课题(SGCC-MPLG018-2012)~~
【分类号】：TM744

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