Simulation of Transient and Steady-State Periodic Processes in Nonlinear Inductive Element of Electric Circuit Taking Into Account Magnetic Hysteresis

Abstract

The problem of modeling transient and steady-state periodic processes in an inductive element of an electrical circuit, which is an inductor with a magnetic system made of electrical steel, is considered. The analysis of these dynamic pro-cesses is carried out taking into account magnetic hysteresis. The relevance of the problem is determined by the fact that chain models are an effective tool for the study of electrical devices and are widely used in the practice of their design. Therefore, the refinement of such models by taking into account the hysteresis when specifying the characteris-tics of inductive elements, the correction of component equations expands the possibility of their application and in-creases the accuracy of the calculations performed. The Jiles-Atherton model is used for simulation of magnetic hyste-resis. Numerical integration of a differential equation describing dynamic processes in an inductive element is per-formed by explicit and implicit methods, using prediction and correction: Euler, Runge-Kutta and Geer of the 4th or-der. Different methods are compared and the accuracy of the approximate solution is estimated. Numerical simulation is performed in transient modes, as well as with sinusoidal and non-sinusoidal forms of flux in a magnetic system and network voltage. The nature of transient processes at various initial states of a ferromagnetic material in a magnetic system is investigated. The results of the performed research will contribute to the improvement of instrumental meth-ods and models used in the design of electrical and electromechanical devices.