Analysis of boundary control for buck converters with instantaneous constant-power loads

IEEE Transactions on Power Electronics

Volumn 25, Issue 8, 2010, Pages 2018-2032

  Onwuchekwa, Chimaobi N ^a   Kwasinski, Alexis ^a  

^a The University of Texas at Austin   (United States)

Author keywords

Boundary control; constant power loads (CPLs); dc dc power conversion; large signal stability; nonlinear systems

Indexed keywords

BOUNDARY CONTROLS; BUCK CONVERTERS; CONVERTER DYNAMICS; DC-DC BUCK CONVERTER; DC-DC POWER CONVERSION; DESIGN CONSIDERATIONS; FIRST-ORDER; HYSTERESIS BAND; LARGE SIGNAL STABILITY; MAIN BUS VOLTAGE; NEGATIVE SLOPE; NONLINEAR EFFECT; OPERATING REGIONS; OPERATION POINT; POWER LOAD; PRACTICAL IMPLEMENTATION; REFLECTIVE MODES; SET PROBLEMS; STABLE OPERATION; SUFFICIENT CONDITIONS; SWITCHING SURFACES;

DC POWER TRANSMISSION; ELECTRIC CONVERTERS; ELECTRIC LOAD FORECASTING; ELECTRIC POWER MEASUREMENT; HYSTERESIS; NONLINEAR ANALYSIS; NONLINEAR SYSTEMS; SPACECRAFT POWER SUPPLIES; STABILITY; SYSTEM STABILITY;

CONTROL SYSTEM STABILITY;

EID: 77954156187     PISSN: 08858993     EISSN: None     Source Type: Journal    
DOI: 10.1109/TPEL.2010.2045658     Document Type: Article

References (42)

1. S. Banerjee and G. C. Verghese, Eds., Nonlinear Phenomena in Power Electronics: Attractors, Bifurcations, Chaos, and Nonlinear Control. New York: IEEE Press, 2001.
2. R. W. Erickson and D. Maksimovic, Fundamentals of Power Electronics, 2nd ed. Norwell, MA: Kluwer, 2001.
3. W. Tabisz, M. Jovanovic, and F. C. Lee, "Present and future of distributed power systems," in Proc. APEC, 1992, pp. 11-18.
4. S.Abe,H.Nakagawa, M. Hirokawa, T. Zaitsu, and T.Ninomiya, "Stability improvement of distributed power system by using full-regulated bus converter," in Proc. IECON 2005, pp. 2549-2553. (Pubitemid 44549681)
5. X. Feng, J. Liu, and F. C. Lee, "Impedance specifications for stable dc distributed power systems," IEEE Trans. Power Electron., vol.17, no.2, pp. 157-162, Mar. 2002. (Pubitemid 34307369)
6. Lineage Power. (2009, Jun.). Data Sheet: Austin LynxTM 24 V: Nonisolated Power Modules: 18/20-30 Vdc input; 3.0 to 6.0 Vdc & 5.0 to 15.0 Vdc Output; 30 & 50 W. Document No.: DS05-032 ver.1.22 [Online] Available: http://lineagepower.com/BinaryGet.aspx?ID=d5435bac-6f34- 4f12-ad5 d-e51177662efa
7. Lineage Power. (2008, Dec.). Data Sheet: SW/SC001/003 Series DC-DC Converter PowerModules: 18-36 V&36-75 Vdc Input; 3.3 V-15 VdcOutput; 1-3.5 A Output Current. Document No.: DS03-086 ver. 1.9 [Online] Available: http://lineagepower.com/BinaryGet.aspx?ID=c795120f-07c7- 4bdb-a3f7-3bd21007a697
8. I. Gadoura, V. Grigore, J. Hatonen, J. Kyyra, P. Vallittu, and T. Suntio, "Stabilizing a telecom power supply feeding a constant power load," in Proc. INTELEC 1998, pp. 243-248.
9. K. Engelen, E. Leung Shun, P. Vermeyen, I. Pardon, R. D'hulst, J. Driesen, and R. Belmans, "The feasibility of small-scale residential dc distribution systems," in Proc. IECON 2006, pp. 2618-2623.
10. A. Emadi, B. Fahimi, and M. Ehsani, "On the concept of negative impedance instability in the more electric aircraft power system with constant power loads," in Proc. Soc. Automotive Eng. (SAE) J. Aerosp., 1999, pp. 689-699.
11. V. Grigore, J. Hatonen, J. Kyyra, and T. Suntio, "Dynamics of a buck converter with a constant power load," in Proc. IEEE PESC, 1998, pp. 72- 78.
12. A. Emadi and M. Ehsani, "Negative impedance stabilizing controls for PWM DC-DC converters using feedback linearization techniques," in Proc. Rec. Energy Convers. Eng. Conf., (IECEC), 2000, pp. 613-620.
13. J. Ciezki and R. W. Ashton, "The application of feedback linearization techniques to the stabilization of DC-to-DC converters with constant power loads," in Proc. ISCAS 1998, vol.3, pp. 526-529.
14. A. Emadi and M. Ehsani, "Dynamics and control of multi-converter dc power electronic systems," in Proc. IEEE PESC 2001, pp. 248-253. (Pubitemid 32950236)
15. J. Wang and D. Howe, "A power shaping stabilizing control strategy for DC power systems with constant power loads," IEEE Trans. Power Electron., vol.23, no.6, pp. 2982-2989, Nov. 2008.
16. S. R. Sanders and G. C. Verghese, "Lyapunov-based control for switched power converters," IEEE Trans. Power Electron., vol.7, no.1, pp. 17-24, Jan. 1992.
17. C. H. Rivetta, A. Emadi, G. A. Williamson, R. Jayabalan, and B. Fahimi, "Analysis and control of a buck DC-DC converter operating with constant power load in sea and undersea vehicles," IEEE Trans. Ind. Appl., vol.42, no.2, pp. 559-572, Mar. 2006.
18. A. Soto, P. Alou, and J. A. Cobbs, "Nonlinear digital control breaks bandwidth limitations," in Proc. Appl. Power Electron. Conf. Expo., 2006, pp. 724-730.
19. V. Yousefzadeh, A. Babazadeh, B. Ramachandran, E. Alarcon, L. Pao, and D. Maksimovic, "Proximate-time digital control for synchronous buck DC-DC converters," IEEE Trans. Power Electron., vol.23, no.4, pp. 2018-2026, Jul. 2008.
20. A. Kwasinski and P. Krein, "Passivity-based control of buck converters with constant-power loads," in Proc. Rec. PESC, 2007, pp. 259-265.
21. C. Rivetta and G. A. Williamson, "Large-signal analysis of a dc-dc buck converter operating with constant power load," in Proc. IECON 2003, vol.1, pp. 732-737.
22. Kwasinski and P. T. Krein, "Stabilization of constant-power loads in DC- DC converters using passivity-based control," in Proc. INTELEC 2007, pp. 867-874.
23. P. T. Krein, Elements of Power Electronics. New York: Oxford Univ. Press, 1998.
24. R. Munzert and P. T. Krein, "Issues in boundary control," in Proc. IEEE Power Electron. Spec. Conf., 1996, pp. 810-816.
25. M. Greuel, R. Muyshondt, and P. T. Krein, "Design approaches to boundary controllers," in Proc. IEEE PESC 1997, pp. 672-678.
26. K. K. S. Leung and H. S. H. Chung, "Derivation of a second-order switching surface in the boundary control of buck converters," IEEE Power Electron. Lett., vol.2, no.2, pp. 63-67, Jun. 2004.
27. K. K. S. Leung and H. S. H. Chung, "A comparative study of the boundary control of buck converters using first and second-order switching surfaces-Part I: Continuous conduction mode," in Proc. IEEE Power Electron. Spec. Conf., 2005, pp. 2133-2139.
28. M. Ordonez, M. T. Iqbal, and J. E. Quaicoe, "Selection of a curved switching surface for buck converters," IEEE Trans. Power Electron., vol.21, no.4, pp. 1148-1153, Jul. 2006.
29. H. Y. C. Chiu, K. K. S. Leung, and H. S. H. Chung, "Higher-order switching surface in boundary control of inverters," IEEE Trans. Power Electron., vol.22, no.5, pp. 1753-1765, Sep. 2007.
30. K. K. S. Leung and H. S. H. Chung, "A comparative study of boundary controlwith first- and second- order switching surfaces for buck converters operating inDCM," IEEE Trans. Power Electron., vol.22, no.4, pp. 1196- 1209, Jul. 2007.
31. G. E. Pitel and P. T. Krein, "Trajectory paths for dc-dc converters and limits to performance," presented at the IEEE Compel Workshop, Troy, Turkey, 2006.
32. T. T. Song and H. S. H. Chung, "Boundary control of boost converters using state-energy plane," IEEE Trans. Power Electron., vol.23, no.2, pp. 551-563, Mar. 2008.
33. A. Schlid, J. Lunze, J. Krupar, and W. Schwarz, "Design of generalized hysteresis controllers for DC-DC switching power converters," IEEE Trans. Power Electron., vol.24, no.1, pp. 138-146, Jan. 2009.
34. H. Khalil, Nonlinear Systems, 3rd ed. Upper Saddle River, NJ: Prentice- Hall, 2002.
35. S. Sastry, Nonlinear Systems: Analysis, Stability and Control. New York: Springer-Verlag, 1999.
36. J. P. LaSalle, "Some extensions of liapunov's second method," IRE Trans. Circuit Theory, vol.7, no.4, pp. 520-527, Dec. 1960.
37. J. A.Yorke, "An extension of Chetaev's instability theorem using invariant sets and an example," in Seminar on Differential Equations and Dynamical Systems. Berlin, Germany: Springer-Verlag, 1968, pp. 100-106.
38. P. Mattavelli, L. Rossetto, and G. Spiazzi, "Small signal analysis of DC- DC converters with sliding mode control," IEEE Trans. Power Electron., vol.12, no.1, pp. 96-102, Jan. 1997.
39. S. C. Tan, Y. M. Lai, M. K. H. Cheung, and C. K. Tse, "On the practical design of a sliding mode voltage controlled buck converter," IEEE Trans. Power Electron., vol.20, no.2, pp. 425-437, Mar. 2005.
40. S. K. Mazumder and K. Acharya, "Multiple lyapunov function based reaching condition for orbital existence of switching power converters," IEEE Trans. Power Electron., vol.23, no.3, pp. 1449-1471, May 2008.
41. D. Liberzon, Switching in Systems and Control. Boston, MA: Birkhauser, 2003.
42. W. W. Weaver, "Mitigation of power system collapse through active dynamic buffers," Master's thesis, University of Illinois at Urbana- Champaign, Urbana, IL, 2004