Electromechanical energy conversion inside an electromagnetic vibratory actuator: Modeling, simulation, and validation

This paper covers the development and validation of a nonlinear mathematical model of an electromagnetic vibratory actuator used in vibratory conveyors. The motivation for this research stems from the need for a more detailed understanding of the electromechanical energy-conversion phenomena that occur during the operation of an electromagnetic vibratory actuator. Unlike previous mathematical models, which often use linear approximations or separately consider the mechanics and electrodynamics of the actuator, the proposed model integrates nonlinear electromagnetic effects with the dynamics of the electromagnet armature's relative motion, therefore establishing a dependence between the electrical quantities in the circuit and the dynamic characteristics of the moving element of the electromagnet. The newly developed mathematical model was simulated numerically, with the model parameters chosen based on a functional laboratory prototype. At the end, experimental validation is presented, demonstrating strong agreement with the simulation results.