Journal of Power Electronics

The Korean Institute of Power Electronics (전력전자학회)
권호 표지
DOI QR코드

DOI QR Code

Mathematical model and vector control of a six-phase linear induction motor with the dynamic end effect

  • Han, Yi (National Key Laboratory of Science and Technology on Vessel Integrated Power System, Naval University of Engineering) ;
  • Nie, Ziling (National Key Laboratory of Science and Technology on Vessel Integrated Power System, Naval University of Engineering) ;
  • Xu, Jin (National Key Laboratory of Science and Technology on Vessel Integrated Power System, Naval University of Engineering) ;
  • Zhu, Junjie (National Key Laboratory of Science and Technology on Vessel Integrated Power System, Naval University of Engineering) ;
  • Sun, Jun (National Key Laboratory of Science and Technology on Vessel Integrated Power System, Naval University of Engineering)
  • Received : 2019.07.16
  • Accepted : 2019.12.12
  • Published : 2020.05.20
⟨ Previous Next ⟩

Abstract

This study investigates a short primary double-side six-phase linear induction motor (LIM) operating in non-periodic transient conditions. The main purpose is to solve the problems arising from the dynamic end effect. The equivalent circuit method is used for intensively studying the transient time-varying law of eddy current and excitation inductance, and the finite element method is adopted for verification. The calculation of eddy current loss leads to an expression of secondary equivalent resistance. Then, a mathematical model is established for the six-phase LIM involving the dynamic end effect. Furthermore, the matrix reconstruction method is adopted for the coupling of windings. Based on the time-varying characteristics of the model, an improved vector control method that can update the velocity-related correction coefficients through on-line calculation is proposed. During the transient process, the slip frequency and the torque current are modified in real-time to achieve the maximum output thrust of the motor. This approach can compensate for the thrust drop caused by the dynamic end effect, thereby improving the control precision. Simulations and experiments show that the related theory and the proposed control method are feasible and effective.

Keywords

Acknowledgement

This paper is supported by the National Science Foundation of China (51977218) and the National Science Foundation of China (51807199).

References

  1. Long, X.L.: Theory and Magnetic Design Method of Linear Induction Motor. Science Publishing, Beijing (2006)
  2. Creppe, R.C., Ulson, J.A.C., Rodrigues, J.F.: Influence of design parameters on linear induction motor end effect. IEEE Trans. Energy Convers. 23(2), 328-362 (2008)
  3. Lv, G., Zeng, D., Zhou, T., et al.: Investigation of forces and secondary losses in linear induction motor with the solid and laminated back iron secondary for metro. IEEE Trans. Ind. Electron. 64(6), 4382-4390 (2017) https://doi.org/10.1109/TIE.2016.2565442
  4. Iwamoto, M., Ohno, E., et al.: End-effect of high-speed linear induction motor. IEEE Trans. Ind. Appl. 9(6), 632-639 (1973) https://doi.org/10.1109/TIA.1973.349986
  5. Shiri, A.: Electromagnetic force analysis in linear induction motors, considering end effect. In: IEEE 7th Power Electronics, Drive Systems and Technologies Conference, Iran, 2016
  6. Amir, Z.B., Mohammad, R.M., Esmael, F.C., et al.: Force study of single-sided linear induction motor. IEEE Trans. Plasma Sci. 44(5), 849-855 (2016) https://doi.org/10.1109/TPS.2016.2541865
  7. Lu, J.Y., Ma, W.M.: Research on end effect of linear induction machine for high-speed industrial transportation. IEEE Trans. Plasma Sci. 39(1), 116-120 (2011) https://doi.org/10.1109/TPS.2010.2085089
  8. Xu, W., Zhu, J.G., Zhang, Y.C., et al.: Equivalent circuits for single-sided linear induction motors. IEEE Trans. Ind. Appl. 28(46), 2410-2423 (2010)
  9. Xu, W., Zhu, J.G., Zhang, Y.C., et al.: An improved equivalent circuit model of a single-sided linear induction motors. IEEE Trans. Veh. Technol. 59(5), 2277-2289 (2010) https://doi.org/10.1109/TVT.2010.2043862
  10. Xu, W., Sun, G., Wen, G.L.: Equivalent circuit derivation and performance analysis of a single-sided linear induction motor based on the winding function theory. IEEE Trans. Veh. Technol. 61(4), 1515-1525 (2012) https://doi.org/10.1109/TVT.2012.2183626
  11. Duncan, J.: Linear induction motor-equivalent circuit model. IEE Proc. 130(1), 51-57 (1983)
  12. Amiri, E., Mendrela, E.A.: A novel circuit model of linear induction motors considering static and dynamic end effect. IEEE Trans. Magn. 50(3), 120-128 (2014) https://doi.org/10.1109/TMAG.2013.2285222
  13. Bazghaleh, A.Z., Naghshan, M.R., Meshkatoddin, M.R.: Optimum design of single-sided linear induction motors for improved motor performance. IEEE Trans. Magn. 46(11), 3939-3947 (2010) https://doi.org/10.1109/TMAG.2010.2062528
  14. Mirsalim, M., Doroudi, A., Moghani, J.S.: Obtaining the operating characteristics of linear induction motors: a new approach. IEEE Trans. Magn. 38(2), 1365-1369 (2002) https://doi.org/10.1109/20.996026
  15. Zare-Bazghaleh, A., Naghashan, M., Khodadoost, A.: Derivation of equivalent circuit parameters for single-sided linear induction motors. IEEE Trans. Plasma Sci. 43(10), 3637-3644 (2015) https://doi.org/10.1109/TPS.2015.2474746
  16. Woronowicz, K., Safaee, A.: A novel linear induction motor equivalent-circuit with optimized end effect model. IEEE Can. J. Electr. Comput Eng. 37(1), 34-40 (2014) https://doi.org/10.1109/CJECE.2014.2311958
  17. Lv, G., Zeng, D., Zhou, T.: An advanced equivalent circuit model for linear induction motors. IEEE Trans. Industr. Electron. 65(9), 7495-7503 (2018) https://doi.org/10.1109/tie.2018.2807366
  18. Kim, D.-K., Kwon, B.-I.: A novel equivalent circuit model of linear induction motor based on finite element analysis and its coupling with external circuits. IEEE Trans. Magn. 42(10), 3407-3409 (2006) https://doi.org/10.1109/TMAG.2006.879078
  19. Shiri, A., Shoulaie, A.: Design optimization and analysis of single-sided linear induction motor, considering all phenomena. IEEE Trans. Energy Convers. 27(2), 516-524 (2012) https://doi.org/10.1109/TEC.2012.2190416
  20. Shiri, A., Shoulaie, A.: End effect braking force reduction in high-speed single-sided linear induction machine. Energy Convers. Manag. 61, 13-50 (2012)
  21. Sung, J.H., Nam, K.: A new approach to vector control for a linear induction motor considering end effect. In: Thirty-fourth IAS Annual Meeting on Industry Application, Phoenix, Arizono, USA (1999)
  22. Hu, D., Xu, W., Dian, R.J., et al.: Loss minimization control of linear induction motor drive for linear metros. IEEE Trans. Industr. Electron. 65(9), 6870-6880 (2018) https://doi.org/10.1109/tie.2017.2784343
  23. Wang, K., Li, Y.H., Ge, Q.X., et al.: An improved indirect fied-oriented control scheme for linear induction motor traction drives. IEEE Trans. Ind. Electron. 65(12), 9928-9936 (2018) https://doi.org/10.1109/tie.2018.2815940
  24. Gastli, A.: Improved field oriented control of an LIM having joints in its secondary conductors. IEEE Trans. Energy Convers. 17(3), 349-355 (2002) https://doi.org/10.1109/TEC.2002.801991
  25. Kang, G., Nam, K.: Field-oriented control scheme for linear induction motor with the end effect. IEE Proc. 152(6), 1565-1572 (2005)
  26. Karimi, H., Vaez-Zadeh, S., Salmasi, F.R., et al.: Combine vector and direct thrust control of linear induction motors with end effect compensation. IEEE Trans. Energy Convers. 31(1), 196-205 (2016) https://doi.org/10.1109/TEC.2015.2479251
  27. Alonge, F., Cirrincione, M., Pucci, M., et al.: Input-output feedback linearization control with on-line mars-based inductor resistance estimation of linear induction motors including the dynamic end effects. IEEE Trans. Ind. Appl. 18(52), 254-266 (2016)
  28. Lian, K.-Y., Hung, C.-Y., Chiu, C.-S., et al.: Robust adaptive control of linear induction motors with unknown end-effect and secondary resistance. IEEE Trans. Energy Convers. 23(2), 412-422 (2008) https://doi.org/10.1109/TEC.2007.905058