﻿ 基于张量法的电力系统病态潮流求解与PV曲线绘制

# 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

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.

 夏道止 (2004) 电力系统分析. 中国电力出版社, 北京.

 李渊 (2009) 现代电力系统病态潮流算法的研究. 华电技术, 5, 24-27.

 Iwamoto, S. and Tamura, Y. (1986) A load flow calculation method for ill-conditioned power systems. IEEE Transactions on Power Apparatus and Systems, 100, 1736-1743.

 Sasson, A.M. (1971) Improved Newton’s load flow through a minimization technique. IEEE Transactions on Power Apparatus and Systems, 90, 1974-1981.

 Schnabel, A.B.R. (1994) TENSOLVE—A software package for solving systems of nonlinear equations and nonlinear least squares problems using Tensor methods. CRPC-TR94586 August 1994.

 王绵森, 马知恩 (1998) 工科数学分析基础(上). 高等教育出版社, 北京, 8.

 Schnabel, R.B. and Frank, P.D. (1983) Tensor methods for nonlinear equations. Department of Computer Science University of Colorado Boulder, Colorado 80309. Cu-Cs-243-83 April, 1983.

 Tripathy, S.C., Prasad, G.D., Malik, O.P. and Hope, G.S. (1982) Load-flow solutions for ill-conditioned power systems by a newton-like method. IEEE Transactions on Power Apparatus and Systems, PAS-101, 3648-3657.
http://dx.doi.org/10.1109/TPAS.1982.317050

 蔡晔, 徐政 (2002) 基于PSS/E 的节点静态电压稳定极限计算. 华东电力, 9, 27-29.

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