It is important for superconducting utilization, such as MRI, that superconducting magnets generate a highly homogeneous magnetic field. In order to enhance the field homogeneity, some notches are placed outside of a solenoid. The optimal design of notched solenoid arrangement becomes a problem which has both continuous and discrete design variables. In this paper, we propose an optimal design method utilizing a modified simulated annealing algorithm to realize the minimum winding volume design for notched multi-section superconducting magnets.
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