Abstract：In order to accurately calculate and determine the leakage inductance parameters of the brushless doubly-fed machine, this paper deduces the calculation formulas of slot leakage inductance, end leakage inductance, and harmonic leakage inductance calculation method, according to the different feature of the leakage magnetic field established by the winding current in different positions in the motor. When solving the slot leakage inductance, a single-slot leakage magnetic field energy model was established, and the energy of the slot leakage magnetic field was calculated by region stratification. The conductor leakage inductance in the slot is calculated by using the superposition theorem. Refer to the network diagram, the correlation matrix was written to calculate the slot leakage of each phase. When solving the end leakage inductance, the air gap current and mirror current were introduced to establish the calculation model of the end leakage inductance in the homogeneous medium. The discretized Biot-Sarvart's law were used to obtain the leakage flux linkage between the ends of two coils, the correlation matrix were introduced to calculate the end leakage inductance of each phase. When solving the harmonic leakage inductance, the magnetic potential waveform and magnetic density waveform are similar due to the equal length of air gap. The total inductance minus the base wave inductance equals the harmonic mutual inductance between two coils in the magnetic field, so that the correlation matrix was written to calculate the harmonic leakage inductance of each phase. The stall test for a sampled concentric rotor winding BDFM of unequal turns motor is made to get the short-circuit reactance. The measured short-circuit reactance is in good agreement with the calculated one, which verifies the validity of the proposed methods.
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2019, Vol. 34 
