MATHEMATICAL MODELING OF AN IMPACT-TYPE LINEAR INDUCTION MOTOR BASED ON THE FINITE ELEMENT METHOD

Abstract

The article presents the development of a mathematical model of an impact-type linear induction motor based on the finite element method. The relevance of the study is determined by the need to create advanced electromechanical systems for impact machines used in construction, industry, and transportation technologies. The application of linear induction motors provides high reliability, compact design, significant thrust force, and simplified kinematic schemes compared with conventional mechanical and hydraulic drives.

The electromagnetic processes occurring in a linear induction motor with a combined rotor are investigated. The mathematical model is developed on the basis of Maxwell’s equations using the magnetic vector potential approach. The finite element method is employed to describe the electromagnetic field, making it possible to account for the geometric features of the motor design, nonlinear magnetic properties of materials, and the spatial distribution of electromagnetic parameters. The model considers the complete shielding of phase windings, the presence of a copper-coated layer on the secondary element, and the nonlinear magnetic permeability characteristics of steel.

As a result of the simulation, the distributions of magnetic flux density and magnetic vector potential were obtained. The currents of the inductor and secondary element, motion velocity, displacement coordinates, phase flux linkages, induced electromotive forces, and power losses in the massive structural components were determined. The analysis demonstrated that the copper-coated layer provides magnetic field concentration within the air gap and contributes to an increase in thrust force during the initial starting stage. It was established that a secondary element with a mass of 13 kg is capable of reaching a velocity of 2.25 m/s within 400 ms, while the motor develops a thrust force of up to 250 N.

Particular attention is paid to the investigation of transient and steady-state operating modes, as well as to the analysis of the influence of design parameters on the electromechanical characteristics of the system. The obtained time dependences of currents, velocity, and thrust force made it possible to evaluate the dynamic properties of the motor and its performance under impact operating conditions. The simulation results confirm the feasibility of using the proposed design in high-speed electromechanical systems.

The obtained results demonstrate the effectiveness of the finite element method for investigating impact-type linear induction motors and can be applied in the design of modern special-purpose electromechanical systems.

Keywords: linear induction motor, finite element method, mathematical model, electromagnetic field, magnetic vector potential, combined rotor, electromechanical processes, thrust force, impact action, electric drive.