An Efficient Method of Calculating Parameters for Induction and Resistance Heating Installations with Magnetic Loads

An efficient method of solving one-dimensional linear or nonlinear induction and resistance heating problems is described. Previous methods have formulated these problems in terms of matrix equations that can require a considerable amount of computer storage during solution. The method described avoids the matrix formulation. Rather, the solution proceeds in a step-by-step fashion so that when fields are calculated at a point within the conductor, the previously calculated fields at other points are all utilized. In this sense, the solution requires only a minimum of storage capacity and is particularly appropriate for small desk calculators. The linear hollow cylinder problem has been programmed for the HP-25 had calculator.

[1]  R. M. Baker Design and calculation of induction heating coils , 1957, Electrical Engineering.

[2]  P. D. Agarwal Eddy-current losses in solid and laminated iron , 1959, Transactions of the American Institute of Electrical Engineers, Part I: Communication and Electronics.

[3]  L. B.,et al.  Bessel Functions for Engineers , 1935, Nature.

[4]  G. D. ADAM,et al.  Physical Principles of Magnetism , 1966, Nature.

[5]  Resistance Heating of a Circular Billet - Two Simple Analytic Models , 1978, IEEE Transactions on Industry Applications.