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A multi-objective optimization problem for Loney's solenoid consists of the determination of the current system which produces a uniform magnetic field within a domain of finite extent inside the solenoid and a low stray field outside it. In order to solve the multi-objective problem, four different approaches have been utilized and compared. In all cases evolution strategy (ES) techniques are utilized for the minimization procedure.
Borghi et al. (Sat,) studied this question.