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PIER PIER B PIER C PIER M PIER Letters
2014-06-15
Analytical Derivation of Induction Motors Inductances Under Eccentricity Conditions
By
Hossein Hooshmandi Safa,

    Dr. Hossein Hooshmandi Safa

    Department of Electrical and Computer Engineering

    Isfahan University of Technology

    Iran

    Homepage

Mohammad Ebrahimi,

    Dr. Mohammad Ebrahimi

    Department of Electrical and Computer Engineering

    Isfahan University of Technology

    Iran

    Homepage

Ali Davoudi,

    Dr. Ali Davoudi

    Department of Electrical Engineering

    University of Texas at Arlington

    USA

    Homepage

Alireza Pouramin

    Dr. Alireza Pouramin

    Department of Electrical and Computer Engineering

    Isfahan University of Technology

    Iran

    Homepage

Progress In Electromagnetics Research B, Vol. 60, 95-110, 2014
doi:10.2528/PIERB14051704
Abstract
Geometrical modeling of induction machines under eccentricity conditions involves a significant number of self and mutual inductances. These inductances are functions of rotor angular position, and calculating them at each time step requires solving computationally-intensive definite integrals. Conventional techniques use numerical look-up tables, or employ approximated analytical expressions such as limited-term Fourier series expression of turn functions. The former approach needs large memory volume given the size of inductance matrix. Moreover, numerical interpolations are needed upon model execution, which significantly slows down the simulation. The later technique is computationally tasking for a large set of Fourier series terms, or lacks sufficient accuracy if only a few terms are used. Alternatively, computationally efficient closed-form solutions for self- and mutual- inductance expressions are presented here. The step variations of turn functions are considered which streamlines the model formulation. The experimental results validate the proposed model. In particular, the frequency spectrum of the stator current illustrates the ability of proposed technique to detect eccentricity.
Citation
Hossein Hooshmandi Safa, Mohammad Ebrahimi, Ali Davoudi, and Alireza Pouramin, "Analytical Derivation of Induction Motors Inductances Under Eccentricity Conditions," Progress In Electromagnetics Research B, Vol. 60, 95-110, 2014.
doi:10.2528/PIERB14051704
References

1. Nandi, S., T. C. Ilamparithi, S. B. Lee, and D. Hyun, "Detection of eccentricity faults in induction machines based on nameplate parameters," IEEE Trans. Ind. Elec., Vol. 58, No. 5, 1673-168, May 2011.

2. Ilamparithi, T. C. and S. Nandi, "Detection of eccentricity faults in three-phase reluctance synchronous motor," IEEE Trans. on Ind. Apps., Vol. 48, No. 4, 1307-1317, Jul.-Aug. 2012.

3. Hyun, D., J. Hong, S. B. Lee, K. Kim, E. J. Wiedenbrug, M. Teska, and S. Nandi, "Automated monitoring of airgap eccentricity for inverter-fed induction motors under standstill conditions," IEEE Trans. Ind. Apps, Vol. 47, No. 3, 1257-1266, May-Jun. 2011.

4. Ebrahimi, B. M. and J. faiz, "Configuration impacts on eccentricity fault detection in permanent magnet synchronous motors," IEEE Trans. on Magnetics, Vol. 48, No. 3, 903-906, Feb. 2012.

5. Torkaman, H., E. Afjei, and P. Yadegari, "Static, dynamic, and mixed eccentricity faults diagnosis in switched reluctance motors using transient finite element method and experiments," IEEE Trans. on Magnetics, Vol. 48, No. 3, 2254-2264, Aug. 2012.

6. Faiz, J., B. M. Ebrahimi, B. Akin, and H. A. Toliyat, "Comprehensive eccentricity fault diagnosis in induction motors using finite element method," IEEE Trans. on Magnetics, Vol. 45, No. 3, 1764-1767, Mar. 2009.

7. Faiz, J. and M. Ojaghi, "Unified winding function approach for dynamic simulation of different kinds of eccentricity faults in cage induction machines," IET Elect. Power Appl., Vol. 3, 461-470, Sep. 2009.

8. Schmitz, N. L. and D. W. Novotny, Introductory Electro. Mechanics, Ch. 4, Roland Press, New York, 1965.

9. Toliyat, H. A. and T. A. Lipo, "Analysis of a concentrated winding induction machine for adjustable speed drive application. Part 1: Motor analysis," IEEE Trans. Energy Conversion, Vol. 6, No. 4, 679-684, Dec. 1991.

10. Toliyat, H. A. and M. M. Rahimian, "Transient analysis of cage induction machines under internal faults using winding function," 3rd Int. Conf. Electrical Rotating Machines --- ELROMA, 1992.

11. Moreria, J. C. and T. A. Lipo, "Modeling of saturated AC machines including air gap flux harmonic components," IEEE Trans. Ind. Apps., Vol. 28, No. 2, 343-349, Mar.-Apr. 1992.

12. Toliyat, H. A., M. S. Arefeen, and G. Parlos, "A method for dynamic simulation of air-gap eccentricity in induction machines," IEEE Trans. Ind. Apps., Vol. 32, No. 4, 910-918, Jul.-Aug. 1996.

13. Toliyat, H. A. and N. A. Al-Nuaim, "Simulation and detection of dynamic air-gap eccentricity in salient pole synchronous machines," IEEE Ind. Apps. Society Annual Meeting, Vol. 35, No. 1, 86-93, New Orleans, Louisiana, Oct. 1997.

14. Al-Nuaim, N. A. and H. A. Toliyat, "A novel method for modeling dynamic air-gap eccentricity in synchronous machines based on modified winding function theory," IEEE Trans. Energy Conversion, Vol. 13, No. 2, 156-162, Jun. 1998.

15. Joksimovic, M. G., D. M. Durovic, and A. B. Obradovic, "Skew and linear rise of MMF across slot modeling winding function approach," IEEE Trans. Energy Conversion, Vol. 14, 315-320, Sep. 1999.

16. Joksimovic, M. G., D. M. Durovic, J. Penman, and N. Arthur, "Dynamic simulation of dynamic eccentricity in induction machines-winding function approach," IEEE Trans. Energy Conversion, Vol. 15, No. 2, 143-148.

17. Joksimovic, M. G. and J. Penman, "The detection of inter-turn short circuits in the stator windings of operation motors," IEEE Trans. Ind. Electronics, Vol. 47, 1078-1084, Oct. 2000.

18. Li, X., Q. Wu, and S. Nandi, "Performance analysis of a three-phase induction machine with inclined static eccentricity," IEEE Trans. Ind. Appl., Vol. 43, No. 2, Mar.-Apr. 2007..

19. Faiz, J. and M. Ojaghi, "Stator inductance fluctuation of induction motor as an eccentricity fault index," IEEE Trans. on Magnetics, Vol. 47, No. 6, 531-541, Jun. 2011.

20. Xu, W., G. Sun, G. Wen, Z. Wu, P. K. Chu "Equivalent circuit derivation and performance analysis of a single-sided linear induction motor based on the winding function theory," IEEE Trans. Vehicular Technology, Vol. 61, No. 4, 1515-1525, May 2012.

21. Luo, X., Y. Liao, H. A. Toliyat, A. El-Antably, and T. A. Lipo, "Multiple coupled circuit modeling of induction machines," IEEE Trans. Ind. Appl., Vol. 31, No. 2, 311-318, Mar.-Apr. 1995.

22. Tabatabaei, I., J. faiz, H. Lesani, and M. T. Nabavi-Razavi, "Modeling and simulation of a salient-pole synchronous generator with dynamic eccentricity using modified winding function theory," IEEE Trans. on Magnetics, Vol. 40, No. 3, 1550-1555, May 2004.

23. Faiz, J., I. Tabatabaei, and E. Sharifi, "A precise electromagnetic modeling and performance analysis of a three-phase squirrel-cage induction motor under mixed eccentricity condition," Electromagnetics, 471-489, Jun. 2004.

24. Dorrell, D., "Sources and characteristics of unbalanced magnetic pull in three-phase cage induction motors with axial-varying rotor eccentricity," IEEE Trans. Ind. Appl., Vol. 47, 47, Jan.-Feb. 2011.

25. Hyun, D., S. Lee, J. Hong, S. B. Lee, and S. Nandi, "Detection of airgap eccentricity for induction motors using the single-phase rotation test," IEEE Trans. on Energy Conversion, Vol. 27, No. 3, Sep. 2012.

26. Ceban, A., R. Pusca, and R. Romary, "Study of rotor faults in induction motors using external magnetic field analysis," IEEE Trans. Ind. Elec., Vol. 59, 2082-2093, 2012.

27. Sahraoui, M., A. Ghoggal, S. E. Zouzou, and M. E. Benbouzid, "Dynamic eccentricity in squirrel cage induction motors --- Simulation and analytical study of its spectral signatures on stator currents," Simulation Modelling Practice and Theory, Vol. 16, No. 9, 1503-1513, Oct. 2008.

28. Dorrell, D. G., W. T. Thomson, and S. Roach, "Analysis of air gap flux, current, and vibration signals as a function of the combination of static and dynamic air gap eccentricity in 3-phase induction motors," IEEE Trans. Ind. Appl., Vol. 33, 24-34, 1997.

29. Nandi, S., R. M. Bharadwaj, and H. A. Toliyat, "Performance analysis of a three-phase induction motor under mixed eccentricity condition," IEEE Trans. Energy Conversion, Vol. 17, No. 3, 392-399, Sep. 2002.

30. Faiz, J., I. T. Ardekanei, and H. A. Toliyat, "An evaluation of inductances of a squirrel-cage induction motor under mixed eccentric conditions," IEEE Trans. on Energy Conversion, Vol. 18, No. 2, Jun. 2003.

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