Parametric osicillations in electric oscillatory system

Abstract

The paper presents the parametric oscillations generated in an electric oscillatory system. Parametric oscillations are oscillations that are periodically modulated with time. The modulation depth and the carrier frequency are investigated by MATLAB/Simulink Model developed from Mathieu's equation. With this model, parametric oscillations are generated. The maximum and minimum amplitudes of oscillations for each characteristic number, a and the characteristic parameter, q is determined. The time taken for one oscillation (which is the period) for each characteristic number and characteristics perameter is determined. The relationship between the carrier frequency, the modulation depth and the characteristic number are established through graphical illustrations. These are approximate results of the solutions of Mathieu equation in electric oscillatory system.