The discrete biharmonic model of Thomson self-oscillators

Abstract

For modeling of self-oscillations in generators of Thomson type the numerical-analytic method is offered. The method is based on representation of self-oscillatory system in the form of set of two oscillators - the main frequency and its third harmonica. The leading oscillator generates strictly monochromatic self-oscillations in discrete time and excites on the oscillator of the third harmonica. The main attention is paid to self-oscillations in three-point schemes with capacitor and inductive communications. It is shown that the offered method of modeling allows to give comparative estimates of amplitudes of harmonious components of a spectrum of self-oscillations.

Keywords

• three-point schemes of oscillators
• method of harmonious linearization
• harmonicas of self-oscillations
• self-oscillations in discrete time