Topology optimization method for superconducting system with critical current condition

A new design scheme is developed to use the topology optimization method in the superconducting system. The critical current condition is considered in the sensitivity calculation for accurate analysis and design of the system. The density method is used to model the design space, and the normalized density of superconducting filament in each cell is used as design variables. The designs of SMES (superconducting magnetic energy storage) coil and MRI (magnetic resonance imaging) coil are given as numerical examples.