基于张量法的电力系统病态潮流求解与PV曲线绘制

Solution of Ill-Conditioned Load Flow for Power System and the Drawing of PV-Curve Based on Tensor Method

摘要: 本文提出一种求解电力系统病态潮流并绘制PV曲线的新方法，称之为张量法。张量法基于非线性方程组的二次模型进行迭代。相对于传统牛顿法，张量法在每次迭代中几乎不需要更多的存储空间和运算量。对于良态系统潮流的计算，张量法的计算效率与传统牛顿法相差不多，对于病态的潮流问题，张量法绘制PV曲线的运算效率和可靠性都远高于牛顿法。对IEEE-5, 11, 13节点系统进行了潮流计算，结果表明张量法优于牛顿法。

Abstract: This paper presents a new method called tensor method to solve the ill-conditioned load flow of power system and draw the PV-curve. The tensor method bases each iteration on the quadratic model of the nonlinear function. Compared to Newton method, the model requires hardly more storage or arithmetic operations per iteration. The tensor method is as effective as Newton method on well-conditioned problems, and performs better on ill-conditioned problems for drawing the PV-curve. IEEE-5, 11, 13 bus systems are calculated with both tensor method and Newton method. It is found that tensor method is better than Newton method.