Báo Cáo Calculation of self and mutual inductances of induction furnaces and molten metal feeders using low

ABSTRACT​

The paper deals with a possible way of computing inductances for circuit models of low-frequency
complex devices from the magnetic field distribution. Computations are carried out by the FEM-based
professional program FEMLAB supplemented with several single-purpose user procedures in Matlab
written by the authors. The principle and results are illustrated on an example of a zinc feeder.
1. INTRODUCTION

Modeling of induction furnaces and other induction equipments such as induction feeders and molten metal pumps belongs to commonly solved task. Both in industry and research this task is often fixed by neglecting displacement currents and higher harmonics and solved by finite elements method. The model starting from the modified Maxwell equations is called the low frequency harmonic FE model. The solution obtained from this model involves local values of electromagnetic field quantities. Other derived local and integral quantities (such as heat power density and total heat power) may also be easily obtained from the solution. However, electrical lumped parameters, such as resistances or self- and mutual inductances of particular coils may also be required. These parameters are used, for
example, for design of the source of power. Unfortunately, getting these parameters from solution of electromagnetic field is not trivial, particularly in the case of several coils and nonlinearities. The paper deals with calculation of selfand mutual inductances from the model of electromagnetic field solved by the finite element method. Its main ideas are illustrated on an example of a zinc feeder.