A complex representation approach for the optimal design of PM devices

A 2-dimensional shape optimization method for permanent magnet configuratio ns, which is based on a combination of non-linear programming and field ana lysis with a complex representation technique of the 2-dimensional magnetic fields, has been developed. As a typical problem example, computational re sults for a segmented dipole magnet are presented. The results show that th e objective function values are reduced significantly and a very uniform di pole field is obtained at the magnet center. The validity of the method is also discussed by comparing with the theoretically presumed solution.