Grytskiv Y. Mathematical modelling of electromagnetic processes considering hysteresis phenomena.

The thesis is devoted to the development of method of hysteresis considering in electromagnetic devices steady-states. The combination of amplitude-related hysteresis model and the model of sensitivity to initial conditions is proposed. The steady-state of the developed mathematical model of electromagnetic devices is calculated using initial magnetization curve and is defined more precisely by hysteresis approximation. This method allows the increassing of the computation accuracy. The proposed amplitude-related hysteresis model where the approximation coefficients are functions of amplitude value of flow coupling. The using of sensitivity model to initial conditions allows eliminating of integration error increasing. Developed software package for transformers, magnetic magnifiers, frequency multipliers can be used independently or as a part of another analysis package. Part of the obtained results are verified experimentally.