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Mixed resistive unbalance and winding inter-turn faults model of permanent magnet synchronous motors

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Abstract

This work analyzes the behavior of surface-mounted permanent magnet synchronous motors (SPMSMs) operating under stator faults. The studied faults are resistive unbalance and winding inter-turn short circuits, which may lead to unbalanced conditions of the motor. Both faults may reduce motor efficiency and performance and produce premature ageing. This work develops an analytical model of the motor when operating under stator faults. By this way, the theoretical basis to understand the effects of resistive unbalance and stator winding inter-turn faults in SPMSMs is settled. This work also compares two methods for detecting and discriminating both faults. For this purpose, a method based on the analysis of the zero-sequence voltage component is presented, which is compared to the traditional method, i.e. the analysis of the stator currents harmonics. Both simulation and experimental results presented in this work show the potential of the zero-sequence voltage component method to provide helpful and reliable data to carry out a simultaneous diagnosis of resistive unbalance and stator winding inter-turn faults.

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Abbreviations

[\(V_\mathrm{sf,abc}\)]:

Stator voltage matrix of a faulty machine.

[\(V_{0}\)]:

Zero-sequence voltage component matrix.

\(V_{0}\) :

Zero-sequence voltage component measured between the center of the stator windings and the dc mid-point of the inverter.

\(V_{a}\) :

Phase-to-neutral voltage of phase \(a\).

[\(i_\mathrm{sf,abc}\)]:

Stator currents matrix of a faulty machine.

\(i_{a}\) :

Stator current in phase \(a\).

\(i_\mathrm{f}\) :

Circulating current in the shorted turns.

\(R_\mathrm{s}\) :

Per phase stator resistance.

[\(R_\mathrm{sf}\)]:

Stator resistance matrix of a faulty machine.

[\(R_\mathrm{sf,sat}\)]:

Stator resistance matrix of a faulty machine including saturation effects.

\(R_\mathrm{f}\) :

Resistance that models the insulation failure.

[\(L_\mathrm{sf}\)]:

Stator inductance matrix of a faulty machine.

[\(L_\mathrm{sf,sat}\)]:

Stator inductance matrix of a faulty machine including saturation effects.

\(L\) :

Per phase stator self-inductance.

\(M\) :

Mutual inductance between stator phases.

[\(\lambda _\mathrm{sf,abc}\)]:

Stator three-phase magnetic flux matrix of a faulty machine.

[\(\lambda _\mathrm{PMf,abc}\)]:

Stator three-phase magnetic flux matrix of a faulty machine due to permanent magnets.

\(\lambda _\mathrm{PM}\) :

Peak strength of permanent magnet flux.

\(\lambda _\mathrm{PMa}\) :

Flux linkage in phase \(a\) due to permanent magnets.

\(\lambda _\mathrm{PM,1}\) :

Fundamental magnet flux.

\(\lambda _\mathrm{PM,h}\) :

\(h\)-th harmonic of the magnet flux.

\(\lambda _\mathrm{PM,0}\) :

Stator zero-sequence flux component due to permanent magnets.

\(\lambda _{a}\) :

Flux linkage in phase \(a\).

\(p\) :

Number of pole pairs.

\(\upsilon \) :

Ratio between the number of shorted turns and the total turns per phase.

\(k\) :

Resistive unbalance ratio.

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Acknowledgments

This work was supported in part by the Spanish Ministry of Science and Technology under the TRA2010-21598-C02-01 Research Project.

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Authors and Affiliations

  1. Alstom Wind, Alstom, 08005, Barcelona, Spain

    Julio-César Urresty

  2. Electronic Engineering Department, Universitat Politècnica de Catalunya, 08222, Terrassa, Spain

    Luís Romeral & Juan Antonio Ortega

  3. Electrical Engineering Department, Universitat Politècnica de Catalunya, 08700, Igualada, Spain

    Jordi-Roger Riba

  4. Electric Engineering Department, Universitat Politécnica de Catalunya, 08222, Terrassa, Spain

    Jordi-Roger Riba

Authors
  1. Julio-César Urresty
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  2. Jordi-Roger Riba
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  3. Luís Romeral
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  4. Juan Antonio Ortega
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Correspondence to Jordi-Roger Riba.

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Urresty, JC., Riba, JR., Romeral, L. et al. Mixed resistive unbalance and winding inter-turn faults model of permanent magnet synchronous motors. Electr Eng 97, 75–85 (2015). https://doi.org/10.1007/s00202-014-0316-z

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  • DOI: https://doi.org/10.1007/s00202-014-0316-z

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