Gyrator-capacitor method for modeling of electromagnetic processes based on magnetoelectric substitution circuits

Abstract

Purpose. Development of magnetoelectric substitution circuits using gyrator-capacitor models
 Methodology. Numerical methods for solving differential equations of state, mathematical apparatus of matrix algebra, computer programming and methods of electrical circuit theory.
 Findings. As a result of modification of the known method of calculation of transient electro-magnetic processes on the basis of magnetoelectric substitution circuits, the method using gyrator-capacitor models is developed. 
 On the basis of the developed method the computer program for calculation of transient process in the single-phase transformer which showed adequacy of a method is made. The universal software complex for modeling magnetoelectric substitution circuits Colo was modified. An example of using a modified Colo software complex to calculate a transients in a three-phase transformer is shown. This example demonstrates additional clarity of compilated magneto-electric substitution circuits and reduction of the computer time modeling.
 Originality. Further development of methods for calculating electromagnetic processes based on nonlinear magnetoelectric substitution circuits was carried out. The mathematical model, which is taken as a principle of the universal Colo software complex, was modified by the way of a new element application - a gyrator. It is allaw to achieve the systemic application of the gyratory-capacitor method of magnetoelectric substitution circuits.
 Practical value. The proposed modification of the universal software complex Colo allows to reduce the time of model development, preparation of initial data and to reduce the processor time of modeling of complex nonlinear electromagnetic devices.