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Combining Field Analysis Techniques and Macroscopic Parameter Simulation for Describing the Behaviour of Medium sized Squirrel-Cage Induction Motors Fed with an Arbitrary Voltage

The paper presents a model for simulating the behaviour of a squirrel-cage induction motor. The purpose of the simulation is to calculate the instantaneous torque and currents of the motor. This is done by defining ten geometrically identical phases in the rotor. From this equivalent model, a 13 by 13 inductance matrix (ten rotor phases and three stator phases) is generated using a commercial CAD-finite element program. This calculation is repeated for various rotor positions in order to include the effects of rotor and stator slotting and local saturation. The instantaneous currents and torque are then calculated with various forms of the input voltage. The motor is considered to be at constant rated speed.

This paper describes how the instantaneous currents and the torque of a squirrel-cage induction motor can be calculated based on finite element calculations. This is achieved in three steps. In a first step, a model for the motor is defined: the motor is described as a number of phases. In a second step, a finite element program is used to for calculating several inductance matrices describing the coupling between the phases described in step one. In a third step, a set of differential equations describing the behaviour of the defined phases is solved using the finite element calculations. The solution gives us the instantaneous flux linked with the different phases. This solution can be then used to calculate the instantaneous currents and torque.

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