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This paper compares digital spectrum estimation techniques which can be used to extract speed information from rotor slot and eccentricity harmonics contained in the stator current. In previous work, speed-related current harmonics have been shown to improve the performance of existing back-EMF-based sensorless schemes, since these harmonics are parameter independent and exist at virtually any nonzero speed. Digital filtering, however, requires a minimum data sampling time in order to achieve the desired resolution. The contribution of this paper is to determine the optimal method for accurately extracting the speed-related harmonics in the least amount of time. Several digital signal processing algorithms are investigated, including the fast Fourier transform and other traditional methods, as well as parametric techniques which can provide improved spectrum estimation for short data records. Each approach is evaluated on the criteria of accuracy, robustness, and computation time given a short data record.
Hurst et al. (1997) studied this question.