Abstruct -The structure and the characteristics of optimal design procedure of electromagnetic devices are examined and the three different approaches to design sensitivity derivation is reviewed. For the shape design problems of the transient eddy current systems driven by voltage sources, the design sensitivity i s derived in an explicit form to the design variables using the finite element algebraic system equation and the adjoint variable m d o d .The original state variable eqnation is an initial value problem, but the adjoint variable equation is derived as a terminal value problem. And both equations are solved using time-stepping finite element method. As a numerical example, the coil-positioning problem of an induction heating system is tested and the proposed algorithm is validated.
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