MODELLING OF POWER CHARACTERISTICS OF THE VIBRATOR WITH A LINEAR ELECTRIC DRIVE

A vibrator of oscillation motion with electric drive based on linear motor is studied. By linearization of a dynamic equation, settlement dependences for the basic power characteristics of the vibrator depending on a regime of its work are gained. Comparative calculation of the vibrator with use of linear model and the specified nonlinear model with help of Matlab/Simulink program is carried out. In a linear model of the vibrator a one-mass oscillatory system with equivalent values of stiffness and viscous friction is studied and power characteristics is calculated. A nonlinear Simulink-model of the vibrator that takes into account the dependence of the parameters of the engine load, a saturation of the magnetic circuit, a tooth harmonic of electromagnetic force and its dependence on the angle of the load, as a non-sinusoidal voltage supply is proposed. For calculation of flux linkage and electromagnetic force as function of current in the winding and position of armature a numerical method of finite elements and computer program Comsol Multiphysics is used. For calculation of electrical and mechanical power factors the ratio of active power and apparent power is used. It is shown that on accuracy of definition of power characteristics of the vibrator by means of linear model a amplitude of oscillation of the armature of the motor has a greatest influence. A limitations of using of a linear model of the vibrator to calculate of it energy characteristics is specified.