Title | ||
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Estimation of Position and Resistance of a Sensorless PMSM: A Nonlinear Luenberger Approach for a Nonobservable System |
Abstract | ||
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We show that the pair (rotor position, resistance) of a nonsalient permanent magnet synchronous motor (PMSM) is not observable in the sensorless setting, namely, when only the electrical signals (voltages and intensities) are measured. However, if the rotation speed ω and the current in rotating frame i
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are not constantly zero, we prove that there only exist a maximum of six indistinguishable solutions, the resistance being the root of a polynomial of degree six. Besides, in the particular case where ω, i
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, and i
<sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">q</sub>
are constant, we show that the number of possible solutions is reduced to two, with two well-identified possible values for the resistance. Those two solutions can be dissociated if the sign of i
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(namely, the mode of use of the motor) is known. Inspired by the nonlinear Luenberger methodology, this property enables us to propose an estimation algorithm, which relies on a one-dimensional minimization of a criterion involving the voltages and intensities filtered at three distinct sufficiently large frequencies. Its performances are tested and illustrated in simulations on real data. |
Year | DOI | Venue |
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2021 | 10.1109/TAC.2020.2981341 | IEEE Transactions on Automatic Control |
Keywords | DocType | Volume |
Luenberger observer,nonobservability,permanent magnet synchronous motor (PMSM),resistance estimation,sensorless | Journal | 66 |
Issue | ISSN | Citations |
2 | 0018-9286 | 1 |
PageRank | References | Authors |
0.51 | 4 | 2 |
Name | Order | Citations | PageRank |
---|---|---|---|
Pauline Bernard | 1 | 4 | 4.96 |
Praly, L. | 2 | 1835 | 364.39 |