Title :
On stability of subharmonic oscillations in nonlinear systems
Author :
Qiu, Shui-Sheng ; Filanovsky, I.M.
Author_Institution :
South China Univ. of Technol., Guangzhou, China
Abstract :
A method for verification of subharmonic oscillation stability in nonlinear systems with a polynomial type of nonlinearity is proposed. The main harmonic and the subharmonic are represented in the exponential form and substituted into the system differential equation. Amplitudes of both harmonics are perturbed, and the subharmonic amplitude perturbation operator equation is obtained. Then, only the terms representing the first order derivatives are retained. The real and imaginary parts of the operator equation are separated to give the system of two linear differential equations for the components of subharmonic amplitude perturbation. The perturbations of the main harmonic are eliminated using the main harmonic equation. Then the characteristic equation of this system is used for verification of the subharmonic stability
Keywords :
harmonics; linear differential equations; nonlinear network analysis; nonlinear systems; oscillations; stability; characteristic equation; exponential form; first order derivatives; linear differential equations; nonlinear systems; polynomial type; subharmonic amplitude perturbation operator equation; subharmonic oscillations; subharmonic stability; system differential equation; Band pass filters; Differential equations; Filtering; Nonlinear equations; Nonlinear systems; Polynomials; Power harmonic filters; Stability;
Conference_Titel :
Circuits and Systems, 1998. Proceedings. 1998 Midwest Symposium on
Conference_Location :
Notre Dame, IN
Print_ISBN :
0-8186-8914-5
DOI :
10.1109/MWSCAS.1998.759450
