DEVELOPMENT OF NEW METHODS FOR ANALYTICAL ESTIMATION OF SELF-OSCILLATION STABILITY IN RELAY CIRCUITS

This article is devoted to the development of analytically described self-oscillation stability research technique. The case when the linear part of the system contains transfer function with a zero pole is considered. Typically the transfer function study, where the numerator degree is two orders of magnitude less than the denominator degree is creates no problems. However, the presence of a zero pole makes the case special and requires investigation.A comparative evaluation of the results of self-oscillation analytical calculation and stability analysis is given, by means of technique developed for symmetric self-oscillations with half-period repetitions and asymmetric ones with period repetitions.The presented technique is a significantly new scientific step in the development of methods for calculating non-linear systems. It also allows us to evaluate the accuracy of approximate calculation methods, which is important for precision systems. The technique is relatively easy to implement. It allows to find a solution as well as for the cases having been unanalyzable so far.