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Description
Superconducting magnets have been extensively studied for their applications in advanced magnetic technologies, taking advantage of their capability to generate high current densities and strong magnetic fields. In the design of superconducting magnets for high field density, a key consideration is the characteristic critical current density, beyond which superconductivity is lost. A previous study introduced a method for analyzing the topological derivative, referred to as dot sensitivity, for superconducting systems. This approach models the variation in electromagnetic performance with respect to the distribution of the operating current, which is governed by the critical current as a function of the applied magnetic field. This paper proposes a topology optimization method for the design of superconducting magnets using dot sensitivity analysis. A significant advantage of the proposed method is its efficiency during the optimization iteration process. Unlike conventional methods that require computationally intensive numerical analysis at every iteration, the proposed approach performs the numerical analysis for dot sensitivity only once at the initial stage of the optimization. As a result, despite the high-dimensional design space explored in topology optimization, the proposed method enables sophisticated and complex designs with low computational cost and rapid solution convergence. Moreover, the dot sensitivity analysis provides relevant information for determining coil topology while considering the critical current as a function of the applied magnetic field. Consequently, the proposed method is well-suited for designing superconducting magnets that achieve high magnetic field density and precise field uniformity. The effectiveness of the proposed method is demonstrated through the design of superconducting magnets for practical applications.