On The Oscillation Condition in An Electrical Loop Containing Nonlinear Elements

Yu Chuei-Pang

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On The Oscillation Condition in An Electrical Loop Containing Nonlinear Elements

更新时间：2025-12-08

- On The Oscillation Condition in An Electrical Loop Containing Nonlinear Elements
- Acta Electronica Sinica Issue 1, Pages: 89-100(1963)
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- Published：1963
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[1]虞厥邦.关于含有非线性元件的迴路的振荡条件[J].电子学报,1963(01):89-100.

Yu Chuei-Pang. On The Oscillation Condition in An Electrical Loop Containing Nonlinear Elements[J]. Acta Electronica Sinica, 1963, (1): 89-100.
[1]虞厥邦.关于含有非线性元件的迴路的振荡条件[J].电子学报,1963(01):89-100. DOI：

Yu Chuei-Pang. On The Oscillation Condition in An Electrical Loop Containing Nonlinear Elements[J]. Acta Electronica Sinica, 1963, (1): 89-100. DOI：

摘要

作为非保守的二阶自治系统的一般情形

对同时含有非线性电阻、电感、电容的迴路中的过程作了一些定性研究。在元件特性为单调的、可用多项式迫近的情形下

利用Poincaré的一次奇点定理得到了电路的振荡条件。在附录中

利用近似Z变换及Taylor-Cauchy变换

对这种迴路中的过程作了近似的定量计算并验证了所得的定性结果。

Abstract

As a general case of the second order nonconservative autonomous systems

the processes in an electrical loop containing nonlinear resistance

capacitance

and inductance are studied qualitatively in this paper.On the assumption that the characteristios of various nonlinear elements are monotone and can be approximated by polynomials the oscillation condition of this loop is derived by means of the Poincarés Theorem about linear sigularities.In the Appendix

for checking the qualitative result obtained in the text

some numerical examples are calculated by means of the approximated z-transform and Taylor-Cauchy transforms

it is found that satisfactory agreement exists.

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