Steady State Analytical Study of Stator Current Harmonic Spectrum Components on Three-Phase Induction Motor under Unbalanced Supply Voltage
Résumé
Almost all induction motor applications suffer from unbalanced supply voltage. Under such conditions the motor operation can be seriously affected. Performance, control and monitoring are directly connected to the knowledge of the supply harmonics effects on the motor, therefore there is a real need to derive a general mathematical formula predicting the harmonics growth and to describe through an analytical analysis in steady state operation, the impact of unbalanced voltage supply on induction machine performance. In this paper an original analytical formula of harmonics components is developed to propose an accurate indicator of unbalanced supply voltage fault. The validity of this analytical study is confirmed by a comparison with simulation and experimental results. NOMENCLATURE fundamental pulsation f frequency of the supply voltage (50HZ) sd V effective values of the supply voltages of the direct systems si V effective values of the supply voltages of inverse systems s s s R L stator time constant r r r R L rotor time constant r s L L M 2 1 leakage factor sa i Stator current e Real part of the quantity ed Direct electromagnetic torque ei Inverse electromagnetic torque e pulsating electromagnetic torques.
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