Novel topology optimization for the design of multiple coils

The Lorenz-force maximizing coil configuration under a given magnetic field was obtained by the developed coil topology optimization method. The key idea in the developing of this new optimization method was viewing the current-flowing coils as equivalent magnetic dipoles in the first-stage optimization. The optimal distribution of magnetization vectors were determined in the first-stage of the developed optimization method and then the detailed coil shapes, in the second stage using a different method. The results confirmed that the proposed method can successfully generate not only a single coil configuration but also a multiple-coil configuration.