GENERALIZED MODEL OF A TWO-COIL SYNCHRONOUS ELECTROMAGNETIC MACHINE FOR VIBRATORY IMPACT TECHNOLOGICAL SYSTEMS

Abstract

Relevance of the research is explained by the perspective of electric pulse systems based on impact and vibratory impact linear electromagnetic machines application in geological exploration, mining operations and minerals processing technologies. Impact synchronous electromagnetic machines are useful for energy saving. Impact force pulse frequency of these machines is equal to or multiple of the power source frequency. The main advantage of devices and equipment based on impact and vibratory impact synchronous electromagnetic machines is the capability of power consumption decrease in near-resonant modes. These modes study is important for the design of exact dynamic models of different variants of impact synchronous electromagnetic machines operating only in transient modes. The aim of the research is to develop the generalized mathematical model of a two-coil impact synchronous machine with an electromagnetic drive for vibratory impact technological systems. The model simplifies the mathematical description of known variants machine schemes when carrying out dynamic calculations. The methods used in the research include differential equations of the electrical equilibrium and mechanical interaction of directly moving masses, Lagrange’s equation of the second kind, finite-element methods of magnetic field modeling, methods of structured modeling in Matlab Simulink, design and experimental characteristics comparison. Results. The authors have proposed the generalized design model of the multi-mass two-coil impact synchronous electromagnetic machine for its known and new variants. The differential equations system were derived for this model. The generalized model is the basis of dynamic models of different variants of impact synchronous electromagnetic machines. The paper considers as an example the dynamic model of the four-mass two-coil impact synchronous electromagnetic machine with the striker elastic reverse. The simulation results stated for the operating mode include the oscillograms of the current in the coils, the striker motion and velocity illustrating switching on and reaching the quasi-stationary operating mode. It follows from integral characteristics comparison that the difference between the design and experimental data is 4…6 % and it is no more than common engineering design error. The proposed generalized model helps effectively to simplify the mathematical description of the impact synchronous electromagnetic motor and decrease the time interval for model implementation.

Keywords

• electrical impulse system
• linear synchronous machine
• synchronous frequency
• number of degrees of freedom
• generalized model
• dynamic model
• simulation