ABSTRACT: This technical report describes the optimal design of the 3-phase, 4-pole, 12-slot permanent magnet synchronous generator (PMSG) for minimum power losses and minimum machine weight. This PMSG will be used in the dual voltage generating system, which is required to minimize power losses, weight, and cost. The LaGrange multiplier method is mainly employed to solve the inequality constrained optimization problems, using MATLAB programs. The optimal machine geometry is finally provided basing on the appropriate selected machine parameters, which give lowest minimum power losses and minimum machine weight. In addition, electrical and magnetic designs, including methodology of general design, winding designs, and PMSG modeling are also covered. The equations of load line, permeance coefficient, magnet thickness, voltage constant, power losses, machine weight, resistance per phase, self inductance per phase, temperature rises, maximum output current, and efficiency are analytically derived in this thesis.
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