Design sensitivity analysis for steady state eddy current problems by continuum approach

In two dimensional steady state eddy current problems, the exact sensitivity formula to the interface shape variation is derived using the material derivative concept of continuum mechanics and an adjoint variable method. The obtained sensitivity formula is expressed in a line integral along the interface and it is calculated using the existing finite element analysis codes. For the rotor slot shape design of the induction motor driven by balanced 3-phase voltage source, the sensitivity for voltage source problems is calculated with the sensitivity for current source problems and the circuit equation. As an optimization algorithm, the Gradient Projection method is used to control easily the torques for various speeds of rotor.<
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