Reaching criterion of a three-phase voltage-source inverter operating with passive and nonlinear loads and its impact on global stability

IEEE Transactions on Industrial Electronics

Volumn 55, Issue 4, 2008, Pages 1795-1812

  Acharya, Kaustuva ^a   Mazumder, Sudip K ^a   Basu, Ishita ^a  

^a University of Illinois   (United States)

Author keywords

Converter load interactions; Impedance criterion; Linear matrix inequality; Linear matrix inequality (LMI); Lyapunov's stability; Piecewise linear (PWL) systems; Reaching conditions; Three phase inverters

Indexed keywords

ACTIVE FILTERS; ELECTRIC RECTIFIERS; LINEAR MATRIX INEQUALITIES; LYAPUNOV FUNCTIONS; PIECEWISE LINEAR TECHNIQUES;

CONVERTER-LOAD INTERACTIONS; IMPEDANCE CRITERION; REACHING CONDITIONS; THREE-PHASE INVERTERS;

ELECTRIC INVERTERS;

EID: 42549105058     PISSN: 02780046     EISSN: None     Source Type: Journal    
DOI: 10.1109/TIE.2008.917101     Document Type: Article

References (37)

1. R. D. Middlebrook, "Input filter considerations in design and application of switching regulators," in Advances in Switch-Mode Power Conversion, 2nd ed. Pasadena, CA: TESLAco, 1983, pp. 91-107.
2. S. S. Kelkar and F. C. Lee, "A novel input filter compensation scheme for switching regulators," in Proc. IEEE Power Electron. Spec. Conf. Jun. 1982, pp. 260-271.
3. Y. E. Sandra and W. A. Polivka, "Input filter design criteria for current-programmed regulators," IEEE Trans. Power Electron., vol. 7, no. 1, pp. 143-151, Jan. 1992.
4. L. R. Lewis, B. H. Cho, F. C. Lee, and B. A. Carpenter, "Modeling, analysis and design of distributed power systems," in Proc. IEEE Power Electron. Spec. Conf., Jun. 1989, vol. 1, pp. 152-159.
5. C. M. Wildrick, F. C. Lee, B. H. Cho, and B. Choi, "A method of defining the load impedance specification for a stable distributed power system," IEEE Trans. Power Electron., vol. 10, no. 3, pp. 280-285, May 1995.
6. X. Wang, R. Yao, and F. Rao, "Three-step impedance criterion for small-signal stability analysis in two-stage DC distributed power systems," IEEE Power Electron. Lett., vol. 1, no. 3, pp. 83-87, Sep. 2003.
7. S. Chandrasekaran, D. Borojevic, and D. K. Lindner, "Input filter interaction in three-phase AC-DC converters," in Proc. IEEE Power Electron. Spec. Conf., Jun. 1999, vol. 2, pp. 987-992.
8. S. K. Mazumder, A. H. Nayfeh, and D. Boroyevich, "Theoretical and experimental investigation of the fast- and slow-scale instabilities of a DC-DC converter," IEEE Trans. Power Electron., vol. 16, no. 2, pp. 201-216, Mar. 2001.
9. R. Zhang, "High performance power converter systems for nonlinear and unbalanced load/source," Ph.D. dissertation, Dept. Elect. and Comput. Eng. Virginia Polytechnic Inst. and State Univ., Blacksburg, VA, Nov. 1998.
10. H. R. Visser and P. P. J. van den Bosch, "Modelling of periodically switching networks," in Proc. IEEE Power Electron. Spec. Conf., Jun. 1991, pp. 67-73.
11. R. Leyva, I. Queinnec, S. Tarbouriech, C. Alonso, and L. Martinez-Salamero, "Large-signal stability in high-order switching converters," in Proc. IEEE Amer. Control Conf., Jun. 2004, pp. 59-64.
12. D. Casadei, J. Clare, L. Empringham, G. Serra, A. Tani, A. Trentin, P. Wheeler, and L. Zarri, "Large-signal model for the stability analysis of matrix converters," IEEE Trans. Ind. Electron., vol. 54, no. 2, pp. 939-950, Apr. 2007.
13. C. C. Chan and K.-T. Chau, "A fast and exact time-domain simulation of switched-mode power regulators," IEEE Trans. Ind. Electron., vol. 39, no. 4, pp. 341-350, Aug. 1992.
14. S. Ben-Yaakov, S. Glozman, and R. Rabinovici, "Envelope simulation by SPICE-compatible models of electric circuits driven by modulated signals," IEEE Trans. Ind. Electron., vol. 47, no. 1, pp. 222-225, Feb. 2000.
15. R. W. Erickson, S. Cuk, and R. D. Middlebrook, "Large-signal modelling and analysis of switching regulators," in Proc. IEEE Power Electron. Spec. Conf., Jun. 1982, pp. 240-250.
16. V. Utkin, Sliding Modes in Control Optimization. New York: Springer-Verlag, 1992.
17. A. F. Filippov, Differential Equations With Discontinuous Right Hand Sides. Dordrecht, The Netherlands: Kluwer, 1988.
18. D. Milosavljevic, "General conditions for the existence of a quasi-sliding mode on the switching hyperplane in discrete variable structure systems," Autom. Remote Control, vol. 46, no. 3, pp. 307-314, 1985.
19. S. K. Mazumder and K. Acharya, "Multiple Lyapunov function based reaching condition analyses of switching power converters," in Proc. IEEE Power Electron. Spec. Conf., Jun. 2006, pp. 2232-2239.
20. S. K. Mazumder and K. Acharya, "Multiple Lyapunov function based reaching condition for orbital existence of switching power converters," IEEE Trans. Power Electron., May 2008, to be published.
21. G. Escobar, P. Mattavelli, A. M. Stankovic, A. A. Valdez, and J. Leyva-Ramos, "An adaptive control for UPS to compensate unbalance and harmonic distortion using a combined capacitor/load current sensing," IEEE Trans. Ind. Electron., vol. 54, no. 2, pp. 839-847, Apr. 2007.
22. G. Willmann, D. F. Coutinho, L. F. A. Pereira, and F. B. Libano, "Multiple-loop H-infinity control design for uninterruptible power supplies," IEEE Trans. Ind. Electron., vol. 54, no. 3, pp. 1591-1602, Jun. 2007.
23. M. Dai, M. N. Marwali, J. W. Jung, and A. Keyhani, "Power flow control of a single distributed generation unit with nonlinear local load," in Proc. IEEE Power Syst. Conf. Expo., Oct. 2004, vol. 1, pp. 398-403.
24. S. K. Mazumder, "A novel discrete control strategy for independent stabilization of parallel three-phase boost converters by combining space-vector modulation with variable-structure control," IEEE Trans. Power Electron., vol. 18, no. 4, pp. 1070-1083, Jul. 2003.
25. [Online]. Available: Http://mathworld.wolfram.com/FourierSeries.html
26. R. Marino, G. L. Santosuosso, and P. Tomei, "Robust adaptive compensation of biased sinusoidal disturbances with unknown frequency," Automatica, vol. 39, no. 10, pp. 1755-1761, Oct. 2003.
27. M. Johansson, Piecewise Linear Control Systems. New York: Springer-Verlag, 2002.
28. G. Feng, "Stability analysis of piecewise discrete-time linear systems," IEEE Trans. Autom. Control, vol. 47, no. 7, pp. 1108-1112, Jul. 2002.
29. R. Goebel, T. Hu, and A. R. Teel, "Dual matrix inequalities in stability and performance analysis of linear differential/difference inclusions," in Current Trends in Nonlinear Systems and Control. Boston, MA: Birkhauser, 2005.
30. S. K. Mazumder, A. H. Nayfeh, and D. Boroyevich, "A new approach to the stability analysis of boost power-factor-correction circuits," J. Vib. Control - Special Issue Nonlinear Dynamics Control, vol. 9, no. 7, pp. 749-773, 2003.
31. A. H. Nayfeh and B. Balachandran, Applied Nonlinear Dynamics. New York: Wiley, 1995.
32. Nonlinear Phenomena in Power Electronics: Attractors, Bifurcations, Chaos, and Nonlinear Control, S. Banerjee and G. C. Verghese, Eds. New York: IEEE Press, 2001.
33. C. K. Tse, Complex Behavior of Switching Power Converters. New York: CRC Press, 2004.
34. K. Acharya, S. K. Mazumder, and M. Tahir, "Communication fault-tolerant wireless network control of a load-sharing multiphase interactive power network," in Proc. IEEE Power Electron. Spec. Conf., Jun. 2006, pp. 1167-1174.
35. V. Lakshmikantham, S. Leela, and A. A. Martynyuk, Practical Stability of Nonlinear Systems. Hackensack, NJ: World Scientific, 1990.
36. Z. Bing, K. Karimi, and J. Sun, "Input impedance modeling and analysis of line-commutated rectifiers," in Proc. IEEE Power Electron. Spec. Conf., Jun. 2007, pp. 1981-1987.
37. [Online]. Available: Http://www.synopsys.com/products/mixedsignal/ saber/ saber.html