Repetitive-Based Control for Selective Active Filters Using Discrete Cosine Transform

Fernando P. Marafão; Paolo Mattavelli; Simone Buso; Sigmar M. Deckmann

doi:10.18618/REP.2004.1.029036

Authors

Fernando P. Marafão University of Campinas -UNICAMP School of Electrical and Computer Eng. P.O. Box 6101 – 13081-970 Campinas – SP – Brazil
Paolo Mattavelli University of Udine – DIEGM Via delle Scienze, 208 33100 - Udine – Italy
Simone Buso University of Padova Department of Information Eng. – DEI Via Gradenigo, 6/B 35131 – Padova – Italy
Sigmar M. Deckmann University of Campinas -UNICAMP School of Electrical and Computer Eng. P.O. Box 6101 – 13081-970 Campinas – SP – Brazil

DOI:

https://doi.org/10.18618/REP.2004.1.029036

Keywords:

Active filters, Discrete Cosine Transformation, Harmonic compensation, Phase-Locked Loop, Repetitive control, Selective Filtering

Abstract

This paper proposes selective harmonic current compensation using a closed-loop repetitive controller. The controller is based on measuring the line currents. It performs the compensation of specific harmonics selected by a DCT (Discrete Cosine Transform) digital filter, which is self-adjusted to track utility frequency deviations by means of a Phase Locked Loop (PLL) system. Compared to conventional solutions, this approach allows full compensation of selected harmonics, even if the active filter has limited bandwidth. This method also requires a simpler algorithm than, e.g., the synchronous frame harmonic regulators and its complexity is independent of the number of compensated harmonics. Moreover, it is more appropriate for DSP implementation and less sensitive to rounding and quantization errors when finite word length or fixed-point implementation is required. Simulations and experimental results confirm the theoretical expectations.

Downloads

Download data is not yet available.

Author Biographies

Fernando P. Marafão, University of Campinas -UNICAMP School of Electrical and Computer Eng. P.O. Box 6101 – 13081-970 Campinas – SP – Brazil

was born in José Bonifácio (SP), Brazil, in 1975. He received the B.S. degree (1998) in Electrical Engineering from Paulista State University (UNESP), Bauru (SP) and the Master’s degree (2000) from University of Campinas, Campinas (SP). Nowadays, he is working on his Doctoral degree and his current interests are mainly concerned with digital processing and control for power electronics applications, active power filters, instantaneous power definitions and power quality evaluation. He held in 2002, a visitor student position at the Department of Information Engineering of the University of Padova (Italy), working on digital control techniques for active power filters. Mr. Marafão is a member of the Brazilian Power Electronics Society (SOBRAEP), Brazilian Automatic Society (SBA) and IEEE.

Paolo Mattavelli, University of Udine – DIEGM Via delle Scienze, 208 33100 - Udine – Italy

was born in Milan (Italy) in 1968. He received his Dr. degree with honors in electrical engineering from the University of Padova, Italy, in 1992. In 1995 he received his Ph.D. studies in electrical engineering in the same university. From 1995 to 2001, he was a researcher at the University of Padova. In 2001 he joined the Department of Electrical, Mechanical and Management Engineering (DIEGM) of the University of Udine, where he has been an Associate Professor of Electronics since 2002. He is responsible of the Power Electronics Laboratory of the DIEGM at the University of Udine, which he founded in 2001. His major field of interest includes analysis, modeling and control of power converters, digital control techniques for power electronic circuits, active power filters and power quality issues. Dr. Mattavelli is a member of IEEE Power Electronics, IEEE Industry Applications, IEEE Industrial Electronics Societies and the Italian Association of Electrical and Electronic Engineers (AEI). He also serves as an Associate Editor for IEEE Transactions on Power Electronics.

Simone Buso, University of Padova Department of Information Eng. – DEI Via Gradenigo, 6/B 35131 – Padova – Italy

was born in Padova (Italy), in 1968. He received the M.S. degree in electronic engineering and the Ph.D. degree in industrial electronics from the University of Padova, Italy, in 1992 and 1997 respectively. He has been with the Power Electronics Laboratory, University of Padova, since 1993, where he is currently a researcher in the Department of Information Engineering (DEI). His main research interests are in the industrial and power electronics fields and are specifically related to: dc/dc and ac/dc converters, smart power integrated circuits, digital control and robust control of power converters, electro[1]magnetic compatibility in switch mode power supplies. Dr. Buso is a member of the IEEE.

Sigmar M. Deckmann, University of Campinas -UNICAMP School of Electrical and Computer Eng. P.O. Box 6101 – 13081-970 Campinas – SP – Brazil

was born in Cruz Alta (RS), Brazil, in 1946. He received his Bachelor (1973), Master (1976) and Doctoral (1980) degrees in Electric Engineering from the University of Campinas, Brazil. The main research areas have been power system analysis, power system dynamics, power system instrumentation, flicker and harmonic measurement and power quality analysis. He is a faculty member at the School of Electric and Computer Engineering of the University of Campinas since 1974. He led the Department of Systems and Energy Control from 1986 to 1988. He also conducted several projects about flicker, harmonics analysis and digital instrumentation. From 1999 to 2003 he have worked as Vice-director of the faculty. Dr. Deckmann is a member of IEEE.

References

P.T. Cheng, S. Bhattacharya, D. Divan, "Control of square-wave inverters in High Power Hybrid Active Filter Systems" IEEE Transaction on Industry Applications, Vol. 34, No. 3, pp. 458-472, May/June 1998. https://doi.org/10.1109/28.673715 DOI: https://doi.org/10.1109/28.673715

P. Mattavelli, S. Fasolo, "A Closed-loop Selective Harmonic Compensation for Active Filters" IEEE Applied Power Electronics Conference Rec., New Orleans, 2000, pp. 339-346.

M. Sonnenschein, M. Weinhold, "Comparison of Time-Domain and Frequency-Domain Control Scheme for Shunt Active Filters" European Transaction on Power Electronics, Vol. 9, No. 1, pp. 5-16, Jan./Feb. 1999. https://doi.org/10.1002/etep.4450090101 DOI: https://doi.org/10.1002/etep.4450090101

J. Svensson, R. Ottersten, "Shunt Active Filtering of Vector Current-Controlled VSC at a Moderate Switching Frequency" IEEE Transaction on Industry Applications, Vol. 35, No. 5, pp. 1083-1090, September/October 1999. https://doi.org/10.1109/28.793369 DOI: https://doi.org/10.1109/28.793369

G. Casaravilla, A. Salvia, C. Briozzo, E. Watanabe, "Selective Active Filter Comparison: Shunt or Shunt Hybrid with Remote Harmonic Distortion Control", in Proc. of the 7th Brazilian Power Electronics Conf (COBEP03), Fortaleza, Brazil, September 2003, pp. 877-884.

S. Buso, L. Malesani, P. Mattavelli, R. Veronese, "Design and Fully Digital Control of Parallel Active Filters for Thyristor Rectifiers to Comply with IEC 1000-3-2" IEEE Transactions on Industry Applications, Vol.34, No.3, May/June 1998, pp. 508-517. https://doi.org/10.1109/28.673721 DOI: https://doi.org/10.1109/28.673721

F.Z. Peng "Harmonic Sources and Filtering Approaches" IEEE Industry Applications Magazine, vol. 7, no. 4, July/Aug. 2001, pp. 18-25. https://doi.org/10.1109/2943.930987 DOI: https://doi.org/10.1109/2943.930987

H. Akagi, H. Fujita, K. Wada, "A Shunt Active Filter Based on Voltage Detection for Harmonic Termination of a Radial Power Distribution Systems", IEEE Transaction on Industry Application, Vol.35, No.3, 1999, pp. 638-645. https://doi.org/10.1109/28.767015 DOI: https://doi.org/10.1109/28.767015

S. Fukuda, S. Yoda, "A novel current-tracking method for active filters based on a sinusoidal internal model" IEEE Transactions on Industry Applications, Vol. 37, No.3, pp. 888-895, May-June 2001. https://doi.org/10.1109/28.924772 DOI: https://doi.org/10.1109/28.924772

Y.Y. Tzou, R.S. Ou, S.L. Jung, M.Y. Chang, "High-Performance Programmable AC Power Source with Low Harmonic Distortion Using DSP-Based Repetitive Control Technique " IEEE Transaction on Power Electronics, Vol. 12, No. 4, July 1997, pp.715-725. https://doi.org/10.1109/63.602567 DOI: https://doi.org/10.1109/63.602567

K. Zhou, D. Wang, "Digital Repetitive Controlled Three-Phase PWM Rectifier", " IEEE Transactions on Power Electronics, Vol.18, No.1, January 2003, pp. 309-316. https://doi.org/10.1109/TPEL.2002.807150 DOI: https://doi.org/10.1109/TPEL.2002.807150

C. Rech, H. Pinheiro, H. A. Gründling, H. L. Hey, J. R. Pinheiro, "Comparison of Digital Control Techniques with Repetitive Integral Action for Low Cost PWM Inverters", IEEE Transaction on Power Electronics, Vol. 18, No. 1, January 2003, pp. 401-410. https://doi.org/10.1109/TPEL.2002.807094 DOI: https://doi.org/10.1109/TPEL.2002.807094

Y.Dote, R.G.Hoft, Intelligent Control - Power Electronic Systems, Oxford University Press Inc., 1998. https://doi.org/10.1093/oso/9780198564669.001.0001 DOI: https://doi.org/10.1093/oso/9780198564669.001.0001

G.C. Goodwin, S.F. Graebe,.M.E. Salgado, Control System Design, Prentice Hall Inc, 2001.

A. V. Oppenheim, R.W. Schafer, J.R. Buck, Discrete-Time Signal Processing, Prentice Hall Inc, 1999.

S.M. Deckmann, F.P. Marafão, M.S de Pádua, "Single and Three-Phase Digital PLL Structures based on Instantaneous Power Theory", in Proc. of the 7thBrazilian Power Electronics Conf (COBEP03), Fortaleza, Brazil, September 2003, pp. 225-230.

P. Mattavelli, F. P. Marafão, "Selective Active Filters using Repetitive Control Techniques", IEEE International Symposium on Industrial Electronics Conference. Rec., Italy, ISBN 0-7803-7370-7, 2002.

F. P. Marafão, S. M. Deckmann, J. A. Pomilio and R. Q. Machado, "Selective Disturbance Compensation and Comparisons of Active Filter Strategies", IEEE International Conference on Harmonics and Quality of Power (ICHQP), ISBN 0-7803-7672-2, 2002