Solution of the Transient Electro-Magneto-Thermal Problems Fed by Voltage in Induction Heating Applications

The aim of this study is to treat the electro-magneto-thermal coupling applied to a induction heating system. The voltage feeding makes the present study very interesting especially in the transient thermal regime. The most delicate study of this problem means the treatment at the same time of four physics aspects: the electrical equation of the inductor, the electromagnetic equation in the load, the equation of the thermal in transient or permanent regime and sometimes one may add the fluid flowing equation. The non-linearity and complexity of the equations system thus obtained require the use of numerical methods to solve it. A software tool on the base of the finite difference method coupled with a semi-analytic one has been developed. We show that, the evolution of the dissipation active power and its effects on the temperature and the impedance along the time of heats.