Small-Signal Modeling and Control of Three-Phase Bridge Boost Rectifiers under Non-Sinusoidal Conditions

  • Chang, Yuan (School of Electrical Engineering, Xi'an Jiaotong University) ;
  • Jinjun, Liu (School of Electrical Engineering, Xi'an Jiaotong University) ;
  • Xiaoyu, Wang (School of Electrical Engineering, Xi'an Jiaotong University) ;
  • Zhaoan, Wang (School of Electrical Engineering, Xi'an Jiaotong University)
  • 발행 : 2009.09.20

초록

This paper proposes a systematic approach to the modeling of the small-signal characteristics of three-phase bridge boost rectifiers under non-sinusoidal conditions. The main obstacle to the conventional synchronous d-q frame modeling approach is that it is unable to identify a steady-state under non-sinusoidal conditions. However, for most applications under non-sinusoidal conditions, the current loops of boost rectifiers are designed to have a bandwidth that is much higher than typical harmonics frequencies in order to achieve good current control for these harmonic components. Therefore a quasi-static method is applied to the proposed modeling approach. The converter small-signal characteristics developed from conventional synchronous frame modeling under different operating points are investigated and a worst case point is then located for the current loop design. Both qualitative and quantitative analyses are presented. It is observed that operating points influence the converter low frequency characteristics but hardly affect the dominant poles. The relationship between power stage parameters, system poles and zeroes is also presented which offers good support for the system design. Both the simulation and experimental results verified the analysis and proposed modeling approach. Finally, the practical case of a parallel active power filter is studied to present the modeling approach and the resultant regulator design procedure. The system performance further verifies the whole analysis.

키워드

참고문헌

  1. A.W.Green, J.T.Boys, G.F.Gates. "3-phase voltage sourced reversible rectifier," IEE proceedings 1988, 6 (B5): 362-370. 1998
  2. R.Wu, S.B.Dewan, G.R.Slemon, "Analysis of an ac-to-dc voltage source converter using PWM with phase and amplitude control," IEEE Trans. Ind. Appl., Vol. 27, pp. 355-364, 1991 https://doi.org/10.1109/28.73626
  3. Y.Jiang, H.Mao, F.C.Lee, and D.Borojevic, "Simple high performance three-phase boost rectifiers," IEEE PESC'94, Rec., Vol. 2, pp. 1158-1164, 1994
  4. S.Hiti and D.Borojevic, "Control of front-end three-phase three-phase boost rectifier," in Proc. APEC'94, pp.927-933, 1994
  5. S.Hiti et al., "Average curent control of three-phase PWM boost rectifier," in Proc.PESC'95, pp.131-137, 1995
  6. G. W. Wester and R. D. Middlebrook, "Low-Frequency Characterization of Switched dc-dc Converters," Aerospace and Electronic Systems, IEEE Transactions on, vol. AES-9, no. 3, pp. 376-385, 1973 https://doi.org/10.1109/TAES.1973.309723
  7. R. D. Middlebrook and S. Cuk, "A general unified approach to modeling switching converter stages," in IEEE Power Electronics Specialists Conf. Rec., pp.18-34, 1976
  8. V. Vorperian, "Simplify PWM converter analysis using a PWM switch model," Power conversion & Intelligent Motion, Vol. 16, no. 3, pp. 8-11, 1990
  9. V. Vorperian, R. Tymerski, and F. C. Y. Lee, "Equivalent circuit models for resonant and PWM switches," IEEE Transactions on Power Electronics, pp. 205-214, 1989 https://doi.org/10.1109/63.24905
  10. C. T. Rim, D. Y. Hu, and G. H. Cho, "Transformers as equivalent circuits for switches: General proofs and D-Q transformation-based analyses," IEEE Transactions on Industry Applications, vol. 26, no. 4, pp. 777-785, 1990 https://doi.org/10.1109/28.56005
  11. S. Hiti, D. Boroyevich, and C. Cuadros, "Small-signal modeling and control of three-phase PWM converters," in Industry Applications Society Annual Meeting, Conference Record of the 1994 IEEE, pp. 1143-1150, 1994
  12. M. Hengchun, D. Boroyevich, and F. C. Y. Lee, "Novel reduced-order small-signal model of a three-phase PWM rectifier and its application in control design and system analysis," Power Electronics, IEEE Transactions on, vol. 13, no. 3, pp. 511-521, 1998 https://doi.org/10.1109/63.668114
  13. Y. Yang, M. Kazerani, and V. H. Quintana, "Modeling, control and implementation of three-phase PWM converters," Power Electronics, IEEE Transactions on, vol. 18, no. 3, pp. 857-864, 2003 https://doi.org/10.1109/TPEL.2003.810860
  14. Akagi, H., "New trends in active filters for power conditioning," Industry Applications, IEEE Transactions on , vol.32, no.6 pp.1312-1322, Nov/Dec 1996 https://doi.org/10.1109/28.556633
  15. Akagi, H., "Active harmonic filters," Proceedings of the IEEE , vol.93, no.12pp. 2128- 2141, Dec. 2005 https://doi.org/10.1109/JPROC.2005.859603
  16. P. Jintakosonwit, H. Fujita, and H. Akagi, "Control and performance of a fully-digital-controlled shunt active filter for installation on a power distribution system," IEEE Transactions on Power Electronics, vol. 17, no. 1, Jan, pp.132-140., 2002 https://doi.org/10.1109/63.988679
  17. Wu, J.-C., Jou, H.-L., "Simplified control method for the single-phase active power filter," Electric Power Applications, IEE Proceedings- , vol.143, no.3pp.219-224, May 1996 https://doi.org/10.1049/ip-epa:19960120
  18. Casadei, D., Grandi, G., Reggiani, U., Rossi, C., "Control methods for active power filters with minimum measurement requirements," Applied Power Electronics Conference and Exposition, 1999. APEC '99. Fourteenth Annual , vol.2, no.pp.1153-1158 vol.2, 14-18, Mar 1999 https://doi.org/10.1109/APEC.1999.750514
  19. K. Chatterjee, B. G. Fernandes, and G. K. Dubey. "An instantaneous reactive volt-ampere compensator and harmonic suppressor system," Power Electronics, IEEE Transactions on, 14 (2):381-392, 1999 https://doi.org/10.1109/63.750192
  20. S. K. Jain, P. Agarwal, and H. O. Gupta. "A control algorithm for compensation of customer-generated harmonics and reactive power," Power Delivery, IEEE Transactions on, 19 (1):357-366, 2004 https://doi.org/10.1109/TPWRD.2003.820191
  21. Uan-Zo-li, A., Lee, F.C., Noon, J.P, "Modeling and control of single-stage voltage-source and current-source PFC converters," Applied Power Electronics Conference and Exposition, 2004. APEC '04. Nineteenth Annual IEEE,Volume 3, Page(s):1778-1783 Vol.3, 2004 https://doi.org/10.1109/APEC.2004.1296107
  22. Byungcho Choi, Sung-Soo Hong, Hyokil Park, "Modeling and small-signal analysis of controlled on-time boost power-factor-correction circuit," Industrial Electronics, IEEE Transactions on, Vol. 48, Issue 1, Page(s):136-142 , Feb 2001 https://doi.org/10.1109/41.904573
  23. Jian Sun, "Input impedance analysis of single-phase PFC converters," Power Electronics, IEEE Transactions on, Vol 20, Issue 2, Page(s):308-314, Mar 2005 https://doi.org/10.1109/TPEL.2004.843011