Vibration dynamics of an electromagnetic drive with a half-period rectifier

Abstract

Dynamical analysis improvement and its capabilities extension are important for the complex analysis and synthesis of the vibratory electromagnetic drive applied in engineering systems for exciting low-frequency oscillations and vibrations. A single-mass vibratory system is considered to be a test subject. Its electromagnetic drive is powered from a sinusoidal voltage source through a half-wave rectifier. The electric drive dynamic model is based on differential equations of the non-linear circuit electrical balance with respect to d'Alembert principle for a mechanical system with spring linkages. The model is featured by the capability of taking into account the interrelated stationary and transient electromechanical processes with respect to magnetic circuit non-linearity, leakage fluxes, spring linkage properties, friction, external actions and power loss in the electromagnetic drive electrical and mechanical subsystems. Periodical electromechanical processes are considered as an example for studying dynamical model capabilities of the transient and quasi stationary mode fundamental analysis with structural modeling methods and facilities in Matlab Simulink. It is established that dynamical analysis accuracy is significantly depends on reproduction accuracy of mathematical models of mechanical characteristics of spring linkages and sliding friction forces. The results of the dynamical model implementation and operation characteristics analysis can be widely used for other types of machines and devices with reciprocated electromagnetic drives.