The use of power sums to solve the harmonic elimination equations for multilevel converters

EPE Journal (European Power Electronics and Drives Journal)

Volumn 15, Issue 1, 2005, Pages 19-27

  Chiasson, John N ^a   Tolbert, Leon M ^a   Du, Zhong ^a   McKenzie, Keith J ^a  

^a University of Tennessee   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; COMPUTATIONAL METHODS; COMPUTER SOFTWARE; FREQUENCIES; FUEL CELLS; HARMONIC ANALYSIS; POLYNOMIALS; SWITCHING CIRCUITS;

HARMONIC ELIMINATION; MULTILEVEL CONVERTERS; OUTPUT VOLTAGE; POWER GRIDS;

ANALOG TO DIGITAL CONVERSION;

EID: 16444367029     PISSN: 09398368     EISSN: 23769319     Source Type: Journal    
DOI: 10.1080/09398368.2005.11463578     Document Type: Article

References (26)

1. J. S. Lai and F. Z. Peng: Multilevel converters - A new breed of power converters, IEEE Transactions on Industry Applications, vol. 32, pp. 509-517, May/June 1996.
2. M. Klabunde, Y. Zhao, and T. A. Lipo: Current control of a 3 level rectifier/inverter drive system, in Conference Record 1994 IEEE IAS Annual Meeting, pp. 2348-2356, 1994.
3. W. Menzies, P. Steimer, and J. K. Steinke: Five-level GTO inverters for large induction motor drives, IEEE Transactions on Industry Applications, vol. 30, pp. 938-944, July 1994.
4. G. Sinhaand T. A. Lipo: A four level rectifier-inverter system for drive applications, in Conference Record 1996 IEEE IAS Annual Meeting, pp. 980-987, October 1996.
5. J. K. Steinke: Control strategy for a three phase AC traction drive with three level GTO PWM inverter, in IEEE Power Electronic Specialist Conference (PESC), pp. 431-438, 1988.
6. J. Zhang: High performance control of a three level IGBT inverter fed AC drive, in Conf. Rec. IEEE IAS Annual Meeting, pp. 22-28, 1995.
7. D. G. Holmes and T. Lipo, Pulse Width Modulation for Power Electronic Converters. Wiley Interscience, 2003.
8. P. N. Enjeti, P. D. Ziogas, and J. F. Lindsay: Programmed PWM techniques to eliminate harmonics: A critical evaluation, IEEE Transactions on Industry Applications, vol. 26, pp. 302-316, March/April 1990.
9. J. Vassallo, P. W. Wheeler, and J. C. Clare: Optimal waveform generation for utility-connected multilevel converters, in European Power Electronics Conference, EPE 2003, September 2003.
10. T. Kato: Sequential homotopy-based computation of multiple solutions for selected harmonic elimination in PWM inverters, IEEE Transactions on Circuits and Systems -1: Fundamental Theory and Applications, vol. 46, pp. 586-593, May 1999.
11. J. Chiasson, L. M. Tolbert, K. McKenzie, and Z. Du: Eliminating harmonics in a multilevel inverter using resultant theory, in Proceedings of the IEEE Power Electronics Specialists Conference, pp. 503-508, June 2002. Cairns, Australia.
12. J. Chiasson, L. M. Tolbert, K. McKenzie, and Z. Du: Real time implementation issues for a multilevel inverter, in Proceedings of the 2002 ELECTRIMACS Conference, August 2002. Montreal Canada.
13. J. Chiasson, L. M. Tolbert, K. McKenzie, and Z. Du: Control of a multilevel converter using resultant theory, IEEE Transactions on Control System Technology, vol. 11, pp. 345-354, May 2003.
14. D. Cox, J. Little, and D. O'Shea, Ideals, varieties, and algorithms An Introduction to Computational Algebraic Geometry and Commutative Algebra, Second Edition. Springer-Verlag, 1996.
15. Joachim von zur Gathen and Jürgen Gerhard, Modern Computer Algebra. Cambridge University Press, 1999.
16. D. Cox, J. Little, and D. O'Shea, Using Algebraic Geometry. Springer-Verlag, 1998.
17. J. Chiasson, L. M. Tolbert, K. McKenzie, and Z. Du: A new approach to the elimination of harmonics in a multilevel converter, in Proceedings of the European Power Electronics Conference, EPE 2003, September 2003. Toulouse, France.
18. L. M. Tolbert, F. Z. Peng, and T. G. Habetler: Multilevel converters for large electricdrives, IEEE Transactions on Industry Applications, vol. 35, pp. 36-44, Jan./Feb. 1999.
19. L. M. Tolbert, F. Z. Peng, T. Cunnyngham, and J. Chiasson: Charge balance control schemes for cascade multilevel converter in hybrid electric vehicles, IEEE Transactions on Industrial Electronics, vol. 49, pp. 1058-1064, October 2002.
20. L. M. Tolbert, J. Chiasson, K. McKenzie, and Z. Du: Elimination of harmonics in a multilevel converter with non equal dc sources, in Proceedings of the Applied Power Electronics Conference APEC2003, pp. 589-595, February 2003. Miami, FL.
21. T. Cunnyngham: Cascade multilevel inverters for large hybrid-electric vehicle applications with variant DC sources, Master's thesis, The University of Tennessee, 2001.
22. M. Mignotte and D. Stefanescu: Polynomials: An Algorithmic Approach. Springer-Verlag, 1999.
23. J. Chiasson, L. M. Tolbert, K. McKenzie, and Z. Du: A unified approach to solving the harmonic elimination equations in multilevel converters, IEEE Transactions on Power Electronics, vol. 19, pp. 478-490, March 2004.
24. Opal-RT Technologies: RTLab, 2001. See http://www.opalrt.com/.
25. R. Lund, M. D. Manjrekar, P. Steimer, and T. A. Lipo: Control strategies for a hybrid seven-level inverter, in Proceedings of the European Power Electronic Conference, September 1999. Lausanne, Switzerland.
26. Z. Hui and M. Braun: A new partly unsymmetrical pwm technique for harmonic compensation, in European Power Electronics Conference, September 2003. Toulouse, France.