DOI QR코드

DOI QR Code

Investigation of the Voltage Collapse Mechanism in Three-Phase PWM Rectifiers

  • Ren, Chunguang (Shanxi Key Lab of Power System Operation and Control, Taiyuan University of Technology) ;
  • Li, Huipeng (State Grid Shanxi Electric Power Research Institute) ;
  • Yang, Yu (Shanxi Electric Power Corporation) ;
  • Han, Xiaoqing (Shanxi Key Lab of Power System Operation and Control, Taiyuan University of Technology) ;
  • Wang, Peng (Nanyang Technological University)
  • Received : 2016.11.07
  • Accepted : 2017.06.04
  • Published : 2017.09.20

Abstract

Three-phase pulse width modulation (PWM) rectifiers are usually designed under the assumption of ideal ac power supply and input inductance. However, non-ideal circuit parameters may lead to a voltage collapse of PWM rectifiers. This paper investigates the mechanism of voltage collapse in three-phase PWM rectifiers. An analytical stability boundary expression is derived by analyzing the equilibrium point of the averaging state space model, which can not only accurately locate the voltage collapse boundary in the circuit parameter domain, but also reveal the essential characteristic of the voltage collapse. Results are obtained and compared with those of the trial-error method and the Jacobian method. Based on the analysis results, the system parameters can be divided into two categories. One of these categories affects the critical point, and other affects only the instability process. Furthermore, an effective control strategy is proposed to prevent a vulnerable system from being driven into the instability region. The analysis results are verified by the experiments.

Keywords

References

  1. H. S. Krishnamoorthy, D. Rana, P. Garg, P. N. Enjeti, and I. J. Pitel, "Wind turbine generator-battery energy storage utility interface converter topology with medium-frequency transformer link," IEEE Trans. Power Electron., Vol. 29, No. 8, pp. 4146-4155, Aug. 2014. https://doi.org/10.1109/TPEL.2013.2295419
  2. B. Singh, B. N. Singh, A Chandra, K. Al-Haddad, A. Pandey, and D. P. Kothari, "A review of three-phase improved power quality AC-DC converters," IEEE Trans. Ind. Electron., Vol. 51, No. 3, pp. 641-660, Jun. 2004. https://doi.org/10.1109/TIE.2004.825341
  3. A. Moawwad, V. Khadkikar, and J. L. Kirtley, "A new P-Q-V droop control method for an interline photovoltaic (I-PV) power system" IEEE Trans. Power Del., Vol. 28, No. 2, pp. 658-668, Apr. 2013. https://doi.org/10.1109/TPWRD.2013.2242906
  4. G. H. Gong, M. L. Heldwein, U. Drofenik, J. Minibock, K. Mino, and J. W. Kolar, "Comparative evaluation of three-phase high-power-factor AC-DC converter concepts for application in future more electric air-craft," IEEE Trans. Ind. Electron., Vol. 52, No. 3, pp. 727-737, Jun. 2005. https://doi.org/10.1109/TIE.2005.843957
  5. B. Wen, D. Dong, D. Noroyevich, R. Burgos, P. Mattavelli, and Z. Shen, "Impedance-based analysis of grid-synchronization stability for three-phase paralleled converters," IEEE Trans. Power Electron., Vol. 31, No. 1, pp. 26-38, Jan. 2016. https://doi.org/10.1109/TPEL.2015.2419712
  6. R. P. Burgos, E. P. Wiechmann and J. Holtz, "Complex state-space modeling and nonlinear control of active front-end converters," IEEE Trans. Ind. Electron., Vol. 52, No. 2, pp.363 -377, Apr. 2005. https://doi.org/10.1109/TIE.2005.843919
  7. M. Malinowski, M. Jasinski, and M. P. Kazmierkowski, "Simple direct power control of three-phase PWM rectifier using space vector modulation (DPC-SVM)," IEEE Trans. Ind. Electron., Vol. 51, No. 2, pp. 447-454, Apr. 2004. https://doi.org/10.1109/TIE.2004.825278
  8. X. Guo, W. Wu, and Z. Chen, "Multiple-complex coefficient-filter-based phase-locked loop and synchronization technique for three-phase grid-interfaced converters in distributed utility networks," IEEE Trans. Ind. Electron., Vol. 58, No. 4, pp. 1194-1204, Apr. 2011. https://doi.org/10.1109/TIE.2010.2041738
  9. P. A. Janakiraman, S. Abdul Rahman, "Linear Pulse Width Modulation Under Fluctuating Power Supply," IEEE Trans. Ind. Electron., Vol. 61, No. 4, pp. 1769-1773, Apr. 2014. https://doi.org/10.1109/TIE.2013.2263776
  10. A. Radwan, Y. Mohamed, "Analysis and active-impedance-based stabilization of voltage-source-rectifier loads in grid-connected and isolated microgrid applications," IEEE Trans. Sustain. Energy, Vol. 4, No. 3, pp. 563-576, Jul. 2013 https://doi.org/10.1109/TSTE.2012.2227981
  11. J. Espinoza, G. Joos, M. Perez, and T. L. A. Moran, "Stability issues in three-phase PWM current/voltage source rectifiers in the regeneration mode," in Proc. IEEE ISIE, pp. 453-458, 2000.
  12. M. Liserre, A. D. Aquila, F. Blaabjerg, "Stability improvements of an LCL-filter based three-phase active rectifier," in Proc. IEEE PESC., pp. 1195-1201, 2002
  13. M. Liserre, R. Teodorescu, F. Blaabjerg, "Stability of photovoltaic and wind turbine grid-connected inverters for a large set of grid impedance values," IEEE Trans. Power Electron., Vol. 21, No. 1, pp. 263-272, Jan. 2006. https://doi.org/10.1109/TPEL.2005.861185
  14. J. Sun, "Impedance-based stability criterion for grid-connected inverters," IEEE Trans. Power Electron., Vol. 26, No. 11, pp. 3075-3078, Nov. 2011. https://doi.org/10.1109/TPEL.2011.2136439
  15. L. Jessen, F. W. Fuchs, "Modeling of inverter output impedance for stability analysis in combination with measured grid impedances," in Proc. IEEE PEDG., pp. 2329-5759, Jun. 2015.
  16. A. Radwan, and Y. Mohamed, "Analysis and Active-Impedance-Based Stabilization of Voltage-Source-Rectifier Loads in Grid-Connected and Isolated Microgrid Applications," IEEE Trans. Sustain. Energy, Vol. 4, No. 3, pp. 563-576, Jul. 2013. https://doi.org/10.1109/TSTE.2012.2227981
  17. M. Cespedes, J. Sun, "Impedance Modeling and Analysis of Grid-Connected Voltage-Source Converters," IEEE Trans. Power Electron., Vol. 29, No. 3, pp. 1254-1261, Mar. 2014. https://doi.org/10.1109/TPEL.2013.2262473
  18. M. Cespedes, J. Sun, "Method for stability analysis of unbalanced three-phase systems," in Proc. IEEE ECCE., pp. 3090-3097, 2012.
  19. J. L. Agorreta, M. Borrega, J. Lopez, and L. Marroyo, "Modeling and Control of N-Paralleled Grid-Connected Inverters With LCL Filter Coupled Due to Grid Impedance in PV Plants," IEEE Trans. Power Electron., Vol. 26, No. 3, pp. 770-785, Mar. 2011. https://doi.org/10.1109/TPEL.2010.2095429
  20. C. Yoon, X. Wang, F. Silva, C. Bak, and F. Blaabjerg "Harmonic stability assessment for multi-paralleled, grid-connected inverters," 2014 Interactional Power Electronic and Application Conference and Exposition, pp. 1098-1103, 2014.
  21. J. Sun, "Small-signal methods for ac distributed power systems - A Review," IEEE Trans. Power Electron., Vol. 24, No. 21, pp. 2545-2554, Nov. 2009. https://doi.org/10.1109/TPEL.2009.2029859
  22. M. Huang, C K. Tse, S. C. Wong. "Hopf-type Bifurcation in Three-Phase PFC Power Supplies Connected to Non-ideal Power Grid," in Proc. IWCFA, pp. 151-154, 2012.
  23. M. Huang, C K. Tse, and S. C Wong, "Line-frequency Instability of Three-Phase PFC Power Supplies Connecting to Non-ideal Power Grid," in Proc. IEEE ISCAS., pp. 213-216, 2012.
  24. Z. Suto, I. Nagy, "Analysis of Nonlinear Phenomena and Design Aspects of Three-Phase Space-Vector-Modulated Converters," IEEE Trans. Circuit and Sys., Vol. 50 No. 8, pp. 1064-1071, Aug. 2003. https://doi.org/10.1109/TCSI.2003.815213
  25. C. Xia, P. Song, T. Shi, and Y. Yan, "Chaotic Dynamics Characteristic Analysis for Matrix Converter," IEEE Trans. Ind. Electron., Vol. 60, No. 1, pp. 78-87, Jan. 2013. https://doi.org/10.1109/TIE.2012.2186105
  26. M. Huang, S. C. Wong, C K. Tse, and X. Ruan, "Catastrophic Bifurcation in Three-Phase Voltage-Source Converters," IEEE Trans. Circuits Sys. I: Regular Papers, Vol. 60, No.4, pp. 1062-1071, Apr. 2013. https://doi.org/10.1109/TCSI.2012.2209299
  27. H. O. Wang, E. H. Abed, and A. M. Hamdan, "Bifurcations, chaos, and crises in voltage collapse of a model power system," IEEE Trans. Circuits and Syst. - I: fundamental theory and applications., Vol. 41, No. 3, pp. 294-302, Mar. 1994. https://doi.org/10.1109/81.285684
  28. H. G. Kwatny, A. Pasrija, and L. Bahar, "Static bifurcations in electric power networks: Loss of steady-state stability and voltage collapse," IEEE Trans. Circuits and Syst., Vol. 33, No. 10, pp. 981-991, Oct. 1986. https://doi.org/10.1109/TCS.1986.1085856
  29. C. S. Kong, "A General Maximum Power Transfer Theory," IEEE Trans. Education, Vol. 38, No. 3, pp. 296-298, Aug. 1995. https://doi.org/10.1109/13.406510