The Analysis of the Dynamics of the Voltage Regulator with an Electronic Relay Element with Hysteresis

Abstract: Presented a schematic diagram of developed voltage regulator with electronic switching element with a hysteresis and also its replacement scheme. Obtained a mathematical model of equivalent circuit of voltage regulator in the as a system of differential equations the 4th order. Based on the use of numerical methods software developed and studied dynamic regimes encountered in the resulting mathematical model. Studied implemented physical model of the voltage regulator. Shown the results of the research of dynamic modes of mathematical and physical models in the time domain and in the phase space: the periodic oscillations, quasi-periodic oscillation and chaotic dynamics of the movement or the so-called "strange attractor." Key words: The voltage regulator Relay element Hysteresis Mathematical model Physical model periodic oscillations Quasi-periodic oscillation Chaotic dynamics "Strange attractor" Chaotic oscillations INTRODUCTION element in the form of an electronic relay with hysteresis Relay systems are an important class of nonlinear type are widely used to control the pulse-modulation automatic systems that are widely used in various energy converters process automation systems and industries [1-4]. The main mode of stable operation of energy-saving technologies [1]. relay systems- the mode of oscillations with constant Realized voltage regulator consists of the followin