Continuum sensitivity and design optimization of superconducting systems under critical current densities with magnetic field dependence

Abstract This paper presents an approach for deriving the continuum sensitivity of superconducting systems operating at critical current densities and optimization method based on sensitivity. In problem, is represented by a variational state equation, wherein magnetic permeability depends field, which transformed from equation with field-dependent source. The design derived using material derivative concept mechanics adjoint variable method. system has property as symmetric tensor that contains density respect to field. in analytical form surface integral interface between its surroundings, density. scheme constructed optimization, level set used express shape variation materials. numerical example infinite solenoids demonstrates provides accurate solution considering condition. addition, resonance imaging solenoid shows inherent ability attaining compact treating input