Title :
Method of calculation of the transient electromagnetic field in ferromagnetic materials for the known vector of induction B on the surface
Author_Institution :
Technical University of L¿¿d¿¿, Institute of Transformers, Electrical Machines and Apparatus, Lodz, Poland
Abstract :
The paper presents a method of calculation of a transient electromagnetic field in ferromagnetic materials with real characteristics of magnetisation taken into account. Spatial-temporal distributions of the electromagnetic field have been calculated as a result of the solution of the nonlinear partial differential equation for induction B, in space ¿¿(x, t), using the difference method. The paper presents the conditions of stability, convergence and the minimum error of approximation for the differential diagram which is assumed to approximate to a differential equation. The elaborated method includes the problems of calculating losses and resistance for eddy currents in the ferromagnetic material in transient states for nonlinear media and boundary conditions arbitrarily changing in time.
Keywords :
difference equations; eddy current losses; ferromagnetic properties of substances; magnetisation; partial differential equations; convergence; difference method; eddy currents; ferromagnetic materials; induction B; magnetisation; minimum error of approximation; nonlinear partial differential equation; spatial temporal distributions; stability; transient electromagnetic field; transient states;
Journal_Title :
Physical Science, Measurement and Instrumentation, Management and Education - Reviews, IEE Proceedings A
DOI :
10.1049/ip-a-1.1984.0042