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用网络图论、三次样条插值和撕裂法计算非线性电阻网络
引用本文:刘世忠,张冠生. 用网络图论、三次样条插值和撕裂法计算非线性电阻网络[J]. 福州大学学报(自然科学版), 1998, 0(1): 51-55
作者姓名:刘世忠  张冠生
作者单位:福州大学电气工程系
摘    要:用网络图论系统地建立非线性网络方程,用三次样条插值函数描述非线性特性曲线.因此,计算网络时,对非线性特性曲线不必分段线性化.若网络可以撕裂,介绍了如何建立和求解撕裂后的非线性网络矩阵方程.

关 键 词:电路  网络  图论  三次样条插值  非线性电阻  撕裂法

Calculation of Nonlinear Resistive Networks by Application of Network Graph Theory, Cubic Spline Method and Diakoptics
Liu Shizhong Zhang Guansheng. Calculation of Nonlinear Resistive Networks by Application of Network Graph Theory, Cubic Spline Method and Diakoptics[J]. Journal of Fuzhou University(Natural Science Edition), 1998, 0(1): 51-55
Authors:Liu Shizhong Zhang Guansheng
Affiliation:Liu Shizhong Zhang Guansheng (Department of Electrical Engineering, Fuzhou University, Fuzhou, 350002)
Abstract:This paper puts forward the use of network graph theory to form the equations of nonlinear resistive networks systematically; the use of cubic spline method to describe the nonlinear characteristic curves. Therefore, when we calculate the networks, the piece-wise-linear is not used. The paper also discusses how to form and solve the matrix equations of the torn nonlinear networks if the networks can be torn.
Keywords:circuit  network  graph theory  cubic spline  nonlinear resistors  diakoptics  
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