The universal mathematical model for multiphase cage induction motors

The universal mathematical model of cage induction motor must assure all possible kinds of motor operation. There are two the most important: operation at different sequences of supplying voltages or currents causing different no load speeds and operation with open-circuited phases caused by supplying converter or the machine damage. The first feature is bound with a real stator winding producing a spectrum of magneto motive force (MMF) and the second with modelling of current flow breaks. Such a model can be also used for modelling the ideal multiphase motor with sinusoidally distributed windings. This is the subject of this paper. The mathematical model has been developed from the description in symmetrical components. That allowed for designation of model parameters and space vectors defining. This model can be presented as the equivalent circuit for transient states and this circuit can be used for circuit oriented simulators (Spice, Simulink/SimPowerSystems, Saber, TINA etc.). As a consequence the mathematical model can be a background for training of different control strategies and determination of mechanical characteristics. The use of model has been illustrated by an example.