The use of the current complex factor to determine the precise output energy of the induction motor

The Complex Voltage Unbalance Factor (CVUF) has been commonly used to assess the output torque of the induction motor. However, this approach has been criticized, as CVUF has been found to depend solely on the unbalanced supply voltage, while neglecting the machine parameters, although, as known, the machine parameters affect the performance of the induction motor during the unbalanced operation. This paper investigates a different method of calculating the Complex Current Unbalance Factor (CUF), using both voltage unbalance and machine parameters for a more accurate estimate of the output energy. This paper also analyzes the output torque as a function of CUF, while examining CVUF and the Complex Impedance Unbalance Factor (IUF) to reach to the most accurate unbalance factor. The paper provides a comparative analysis of the performance during the unbalanced operation between a cascaded set of induction motors and single large sized induction motor having the same rating and proves that the operation of a cascaded set of induction motors under balanced and unbalanced supply voltage is more efficient than of a single large sized induction motor.