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Exploiting wind energy resource is of great significance in improving energy structure. Fundamental electromagnetic design and optimal design on the low-speed permanent magnet generator are presented in this paper. The fundamental electromagnetic design concludes: stator core design, stator winding design, permanent magnet of the rotor design, root of the rotor design, etc. Fractional windings are utilized to effectively decrease drag torque. Tile-poles and radial structure of rare earth permanent magnet are utilized to decrease leakage flux. Design analysis is an important step for modern motors and systems. These include: how to select the material of the permanent magnet, pole design of the permanent magnet, volume estimate of the permanent magnet, feasibility analysis of the design sheet, etc. Optimal design is base on the fundamental electromagnetic design. The optimization algorithm based on Chaos is used to gain maximal output efficiency of the wind generator. Based on a feasible electromagnetic project, optimal designs are gained by whole and local chaos optimization.