Efficient sensitivity analysis of lumped elements with respect to finite‐element geometry changes

Sensitivity analysis enables powerful gradient‐based mathematical programming techniques in the optimization of electromechanical products with respect to electromagnetic compatibility requirements. We present a sensitivity analysis method based on finite element solutions of both a magnetoquasistatic system in a tree‐cotree gauge and an electrostatic system. A repeated application of the adjoint method ensures a high computational efficiency, which is showcased in a comparison with an earlier approach. Application examples provided are the optimization of a noise filter and the sensitivity computation of a choke with dispersive magnetic core