MANAGE DIGITAL MODEL BASED ON MATRIX-TOPOLOGICAL DESCRIPTION ELEC- TROMAGNETIC CIRCUITS

Abstract

In the article the digital model of the electromagnetic circuit with the highest level of detail both electric and magnetic circuit. The magnetic circuit is represented in the same detail as electric, and is described by the contour matrix. The mathematical description of electromagnetic induction device parame- ters are determined by the geometrical dimensions and characteristics of the magnetic cores. The topology of circuit blocks represented by the matrix that takes into account both current and charge distribution in the circuit elements. An analysis is made of the causes of the error in the calculation of energy. This error con- sists of two components: numerical simulation errors and errors in the numerical metrology apparatus. Met- rological procedures is made for the investigation of the energy of electromagnetic circuits. A stable mathe- matical model of electromagnetic circuits in a matrix form is developed, convenient for implementation on digital computers. The model is composed relative to the increments of magnetic fluxes and potentials on the capacitors. Thus it is convenient to follow the energy processes in the reactive power-consuming elements of the circuit. An adaptive algorithm for controlling a computational process using the energy balance criterion for studying electromagnetic circuits with nonlinear characteristics is developed. Feedback is provided through a special parameter. The peculiarity of this model is that it in its kind combines several methods of integrating a system of differential equations. By combining them, it is possible to achieve maximum correct- ness of calculations for the energy components in the simulation of the electromagnetic circuit.