General Approach for Modeling and Control of Multiphase PMSM Drives

Abstract

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Adaline-Based Control Schemes for Non-Sinusoidal Multiphase Drives–Part I: Torque Optimization for Healthy Mode

“…where T em_139 is the total torque generated by SMTPA (with only 1st, 3rd, and 9th harmonics of currents); T ave is the average torque; T 14θ and T 28θ are harmonics 14θ and 28θ of the torque; E n1 , E n3 , E n9 , E n11 , E n13 , and E n19 are amplitudes of six NS-EMF harmonics as described in (6). From (12), the total torque for a seven-phase machine contains a constant component T ave and two harmonic components 14θ and 28θ. In general, torque harmonics of a n-phase machine under healthy condition are multiples of nθ, specifically 2knθ if n is odd and knθ if n is even (k ∈ N) .…”

“…In general, torque harmonics of a n-phase machine under healthy condition are multiples of nθ, specifically 2knθ if n is odd and knθ if n is even (k ∈ N) . Theoretically, to obtain a constant torque, torque ripples T 14θ and T 28θ in (12) can be used to calculate compensating currents. However, the estimated NS-EMFs are usually obtained from measured NS-EMFs in open-circuited stator windings.…”

“…Therefore, hysteresis controllers have been chosen to control phase currents in [10,11], leading to inevitable variable switching frequencies, high switching losses, and electromagnetic compatibility problems. Recently, study [12] has applied a multiple resonances structure, with PI resonant (PIR) controllers, to control phase currents. However, accurate estimations of frequencies and tuning procedures of many parameters are required in the design of PIR controllers.…”

“…Adaline, the simplest type of ANN, requiring low computational demand with advantages such as fast response, self-learning, and easy-to-implement, can be found in [7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22]. An Adaline in [18] is used to estimate the q-axis current of a three-phase PMSM in real time.…”

“…As MTPA in [10,11], all reference d-q currents in [20] have high-frequency oscillations, challenging PI controllers at high speed. Other Adalines can be found in [7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22] to eliminate harmonic components in d-q currents which are caused by multi-harmonics in NS-EMFs or nonlinearity of power converters. However, although constant d-q currents are obtained, smooth torque cannot be guaranteed because NS-EMFs with multi-harmonics in d-q frames are time-variant.…”