This paper presents an optimal geometric design of a method for induction heating system. The objective of this design is to obtain a desired optimal distribution temperature in the load. The dimensions of the inductors are taken as design parameters and are replaced at each iterative step, using the bisection method to minimize the error of the calculated tem- perature and the desired one in each node. The study of such a device requires the use of models or modeling, physical, mathematical and numerical. Representation this modeling is the basis of the understanding, design and optimization of these systems. The optimization technique is to find values of variables that maximize or minimize the objective function. Through the researches achieved in the last twenty years, many industrial processes requiring heating operations make use of induction heating devices. Many industrial applica- tions have been developed, surface heat treatment, forging, bonding by polymerization, domestic and household appli- cations. Read phonetically However, the development of heating equipment induc- tion is not easy. The inductors are still often dimensioned empirically, based on the experience gained by the manu- facturer, and the power profile to be injected into the part (pan), obtained by trial and error. However, the tests are long and costly. Also computer-aided design, based on numerical simulation of magnetic and thermal phenomena involved, has certain advantages in terms of cost, time and optimization for the development of induction heating processes. The prediction of magneto-thermal behavior of the whole work space - inductor allows the optimization of both electrical and mechanical design of the inductor, and also the necessary power required to treat the work space. The temperature distribution is itself a key factor for predicting the effectiveness of heat treatment; physical properties of materials are strongly temperature dependent. For nonlinear problems with complex geometry, the finite volume method developed in recent years, considered as an
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