MODELING OF SINGLE-SHOT INDUCTION-HEATING BY INVERSE FINITE-ELEMENT METHOD

The induction heating model described herein couples the standard heat conduction equation with electromagnetic proximity-skin equations. An Inverse Finite Element procedure, which is based on prior determinist ic and probabilistic concepts, has been designed to solve the inherent inverse equation model with respect to the unknown coil current param eter. Simulated experiments using different noises in the input data h ave been performed in order to determine their influence on the estima ted parameter. The IFEM has shown its capability to predict the optima l location for the temperature sensors, together with their numbers, c onsistently with a pre-specified estimate accuracy. Specifically, only one temperature sensor, located in the middle of the two turns of the coil, results to be sufficient to estimate the unknown parameter to a satisfactory accuracy degree. This, may significantly help to design optimal experiments.