NONDIMENSIONALIZATION OF THE EQUATIONS OF MOTION FOR PERMANENT-MAGNETMACHINES

Time scaling and affine state transformations are incorporated in obta ining compact representations for permanent-magnet machines in terms o f nondimensionalized parameters and variables. The transformations are presented in a general framework, making them applicable to a large c lass of dynamical systems. The notion of nondimensionalized models lea ds to investigating the characteristics orf classes of machines as opp osed 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 no ndimensionalized equations of motion is incorporated in formulating th e torque-speed characteristics of variable-reluctance permanent-magnet machines.