DOI QR코드

DOI QR Code

Sliding Mode Control with Fixed Switching Frequency for Four-wire Shunt Active Filter

  • Received : 2010.09.23
  • Accepted : 2011.03.25
  • Published : 2011.09.01

Abstract

The present paper proposes a sliding mode control with fixed switching frequency for three-phase three-leg voltage source inverter based four-wire shunt active power filter. The aim is to improve phase current waveform, neutral current mitigation, and reactive power compensation in electric power distribution system. The performed sliding mode for active filter current control is formulated using elementary differential geometry. The discrete control vector is deduced from the sliding surface accessibility using the Lyapunov stability. The problem of the switching frequency is addressed by considering hysteresis comparators for the switched signals generation. Through this method, a variable hysteresis band has been established as a function of the sliding mode equivalent control and a predefined switching frequency in order to keep this band constant. The proposed control has been verified with computer simulation which showed satisfactory results.

Keywords

References

  1. M. Aredes, J. Häfner, and K. Heulmann, "Threephase four-wire shunt active filter control strategies", IEEE Trans. Power. Electron, vol. 12, no. 02, pp. 311-318, March 1997. https://doi.org/10.1109/63.558748
  2. B. Singh, K. Al-Haddad, and A. Chandra, "Harmonic elimination, reactive power compensation and load balancing in three-phase, four-wire electric distribution systems supplying non-linear loads", Electric Power Syst. Res, vol. 44, pp. 93-100, 1998. https://doi.org/10.1016/S0378-7796(97)01187-5
  3. Singh, K. Al-Haddad, and A. Chandra, "A review of active filters for power quality improvement,", IEEE Trans. Ind. Electron, vol. 46, no. 5, pp. 960-971, 1999. https://doi.org/10.1109/41.793345
  4. Madtharad and S. Premrudeepreechacharn, "Active power filter for three-phase four-wire electric systems using neural networks", Electric Power Syst. Res, vol. 60, pp. 177-192, 2002.
  5. A. Cavini, F. Ronchi, and A. Tilli, "Four-wires shunt active filters: optimized design methodology", in Industrial Electronics Society. The 29th Annual Conference of the IEEE, 2003, pp. 2288-2293.
  6. B. Lin, H. Chiang, and K. Yang, "Shunt active filter with three-phase four-wire npc inverter", in IEEE. The 47th IEEE International Midwest Symposium on Circuits and Systems, 2004, pp. 281-284.
  7. M. Benhabib and S. Saadate, "New control approach for four-wire active power filter based on the use of synchronous reference frame", Electric Power Syst. Res, vol. 73, pp. 353-362, 2005. https://doi.org/10.1016/j.epsr.2004.08.012
  8. B. Lin and T. Y. Yang, "Analysis and implementation of three-phase power quality compensator under the balanced and unbalanced load conditions", Electric Power Syst Res, vol. 76, pp. 271-282, 2006. https://doi.org/10.1016/j.epsr.2005.05.010
  9. M. Ucar and E. Ozdemir, "Control of a 3-phase 4-leg active power filter under non-ideal mains voltage condition," Electric Power Syst Res., 2007.
  10. D. Boroyevich, F. C. Lee, R. Zhang, and V. H. Prasad, "Three dimensional space vector madulatin for fourleg voltage-source conveners", IEEE trans. power. electronics, vol. 17, no. 3, 2002.
  11. H. Akagi, Y. Kanazawa, and A. Nabae, "Generalized theory of the instantaneous reactive power in threephase circuits", in IPEC'83- Int. Power Elec. Conf, Tokyo, Japan, 1983, pp. 1375-1386.
  12. V. Siares and P. Verdelho, "Analysis of active power filters in frequency domain using the fast Fourier transform", EPE, 1997.
  13. H. Buhler, Reglage par mode de glissement. Lausane, Suisse, Presse Polytechnique Romandes, 1986.
  14. N. Sabanovic, T. Ninomiya, A. Sabanovic, and B. Perunicic, "Control of three-phase switching converters: A sliding mode approach", PESC 1993.
  15. G. Spiazzi, P. Mattavelli, L. Rossetto, and L. Alesani, "Application of sliding mode control to switch-mode power supplies", Journal of Circuits, Systems and Computers (JCSC), vol. 5, no. 3, pp. 337-354, 1995. https://doi.org/10.1142/S0218126695000217
  16. V. Utkin, J. Guldner, and J. Shi, Sliding Mode Control in Electromechanical Systems. London: Taylor and Francis, 1999.
  17. M. Ahmed, "Sliding mode control for switched mode power supplies" Ph.D thesis, Lappeenranta University of Technology, Finland, 2004.
  18. H. Sira-Ramirez and R. Silva-Ortigoza, Control Design Techniques in Power Electronics Devices. London: Springer-Verlag, 2006.
  19. S.Guffon, A. Toledo, S.Bacha, and G.Bornard, "Indirect sliding mode control of a three-phase active power filter", IEEE, 1998, pp. 1408-1414.
  20. N. Mendalek, K. Al-Haddad, F. Fnaiech, and L. A. Dessaint, "Sliding mode control of 3-phase 3-wire shunt active filter in the dq-frame", CCECE. IEEE, 2001, pp. 765-770.
  21. B. Lin, Z. Hung, S. Tsay, and M. Liao, "Shunt active filter with sliding mode control", IEEE, 2001, pp. 884-889.
  22. B. Bose, "An adaptive hysteresis-band current control technique of a voltage fed pwm inverter for machine drive system", IEEE Trans. Ind. Electron, vol. 37, pp. 402-408, 1990. https://doi.org/10.1109/41.103436
  23. L. A. Moran, J. W. Dixon, and R. R. Wallace, "A three-phase active power filer operating with fixed switching frequency for reactive power and current harmonic compensation", IEEE Trans. Ind. Electron, vol. 42, no. 4, pp. 402-408, 1995. https://doi.org/10.1109/41.402480
  24. V. Nguyen and C. Lee, "Tracking control of buck converter using sliding mode with adaptive hysteresis", in 26th Power Electronics Specialists Conference, Atlanta, USA, 1995, pp. 1086-1093.
  25. J. Zeng, C. Yu, Q. Qi, Z. Yan, Y. Ni, B. Zhang, S. Chen, and F. F. Wu, "A novel hysteresis current control for active power filter with constant frequency", Electric Power Syst. Res, vol. 68, pp. 75-82, 2004. https://doi.org/10.1016/S0378-7796(03)00158-5
  26. M. Kale and E. Ozdemir, "An adaptive hysteresis band current controller for shunt active power filters", Electric Power Syst. Res, vol. 73, pp. 113-119, 2005. https://doi.org/10.1016/j.epsr.2004.06.006
  27. B. Mazari and F. Mekri, "Fuzzy hysteresis control and parameter optimization of a shunt active filter", Journal of Information Science and Engineering, vol. 21, pp. 1139-1156, 2005.
  28. M. Navarro-Lopez, D. Cortes, and C. Castro, "Design of practical sliding-mode controllers with constant switching frequency for power converters", Electric Power Syst Res, vol. 79, pp. 796-802, 2009. https://doi.org/10.1016/j.epsr.2008.10.018
  29. S. Tan, Y. Lai, and C. Tse, "Implementation of pulsewidth- modulation based sliding mode controller for boost converters", IEEE Power Electron, vol. 3, no. 4, pp. 130-135, 2006.
  30. S. Buso, L. Malesani, and P. Mattavelli, "Comparison of current control techniques for active filter applications", IEEE Trans. Power. Electron vol. 45, no. 5, pp. 722-729, 1998. https://doi.org/10.1109/16.661234
  31. I. Etxeberria-Otadui, "Sur les systèmes de l'electronique de puissance dedies a la distribution electrique-application a la qualite de l'energie", Ph.D. dissertation, INPG, Grenoble, France, September 2003.
  32. M. Aredes and E. Watanabe, "New control algorithms for series and shunt three-phase four-wire active power filters", IEEE Transactions on Power Delivery, vol. 10, no. 3, pp. 1649-1656, July 1995. https://doi.org/10.1109/61.400952

Cited by

  1. Direct Power Control of Three-Phase Boost Rectifiers by using a Sliding-Mode Scheme vol.13, pp.6, 2013, https://doi.org/10.6113/JPE.2013.13.6.1000
  2. Disturbance-Rejection-Based Model Predictive Control: Flexible-Mode Design With a Modulator for Three-Phase Inverters vol.65, pp.4, 2018, https://doi.org/10.1109/TIE.2017.2758723