Effective optimal design of 3-D magnetic device having complicated coil using edge element and Biot-Savart method

It is troublesome and time consuming to treat a coil of complicated shape with optimization methods using edge elements, because the current vector potential in the coil of changed shape (changed mesh) should be calculated at each iteration of the optimization. In this paper, an effective optimal design method using the Biot-Savart method (A_s method) and the evolution strategy is investigated. As it is not necessary to generate a mesh for the coil by using the A_s method, the mesh becomes simple and, moreover, it is not necessary to calculate the current vector potential in the changed coil at each iteration in order to give the current vector potential in the coil. The usefulness of the proposed method is illustrated by applying it to the optimal design of a deflection coil for a cathode-ray tube