Abstract
This paper develops a model for a saturable reactor with a parallel tuned tank circuit. From this model the characteristics of the circuit are derived and compared with measured data. Saturable reactors are used to control power to various loads. In the case of an induction furnace the load is a tuned tank circuit. This combination of reactors and load has demonstrated resonances at low load, "Q". The phenomenon is hard to predict. Solutions, using a continuous function to model the, "B-H" curve, usually require a great deal of computational effort. The sharp saturation, typical of these reactors, requires a high order polynomial to model the, "B-H" curve. In solving the equations with such a polynomial, a lot of computational effort must be spent in expanding the polynomial in order to produce a set of non-linear equations.
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