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ABSTRACT
Time scaling and affine state transformations are incorporated in obtaining compact representations for permanent-magnet machines in terms of nondimensionalized parameters and variables. The transformations are presented in a general framework, making them applicable to a large class of dynamical systems
The notion of nondimensionalized models leads to investigating the characteristics of classes of machines as opposed to specific machines. It is demonstrated that the proposed method may be used to greatly reduce the number of parameters in the model, thus, significantly reducing the complexity associated with analysis, design, and control procedures. For illustration purposes, a set of nondimensionalized equations of motion is incorporated in formulating the torque-speed characteristics of variable-reluctance permanent-magnet machines,