Digital Control For PLLs Based On Moving Average Filter: Analysis And Design In Discrete Domain

Authors

  • Naji Rajai Nasri Ama Dom Bosco Catholic University – UCDB1, Campo Grande - MS, Brazil
  • Wilson Komatsu Polytechnic School of the University of Sao Paulo – USP2, São Paulo - SP, Brazil
  • Lourenço Matakas Junior Polytechnic School of the University of Sao Paulo – USP2, São Paulo - SP, Brazil

DOI:

https://doi.org/10.18618/REP.2015.3.2547

Keywords:

Control Systems, Discrete Time Systems, Phase Locked Loops, Power Electronics, Synchronization

Abstract

Phase Locked Loops using phase detector based on a multiplier and a moving average low pass filter are computationally simple, and provide adequate attenuation for the multiplier generated harmonics, which are responsible for distortion at the output signal. They are a good choice for synchronizing power electronics converters connected to the grid. Previously published papers based on proportional-integral control and moving average filter present long settling times. This paper uses the exact model of the moving average filter by its discrete high order transfer function, and applies the discrete root locus method to impose the dominant closed loop poles in a region defined by desired performance specification. It leads to a significantly shorter settling time, when experimentally compared with other recent proposals in the literature.

Downloads

Download data is not yet available.

Author Biographies

Naji Rajai Nasri Ama, Dom Bosco Catholic University – UCDB1, Campo Grande - MS, Brazil

received the B.S. and the M.S. degrees in electrical engineering from the University of Technology, Baghdad, Iraq, in 2000 and 2003, respectively and Ph.D. degrees from the Polytechnic School of the University of São Paulo (EPUSP), São Paulo, Brazil, in 2012. Currently, he is an Associate Professor at Dom Bosco Catholic University (UCDB). His research interests include grid synchronization methods, power electronics, digital signal processing, control systems, and grid-connected power converters.

Wilson Komatsu, Polytechnic School of the University of Sao Paulo – USP2, São Paulo - SP, Brazil

born in 1963 in São Paulo, Brazil, received the B.S., M.S., and Ph.D. degrees in electrical engineering from the Escola Politécnica da Universidade de São Paulo (EPUSP), São Paulo, in 1986, 1992, and 2000, respectively. He is Associate Professor of power electronics at EPUSP. His research areas are control and modeling of static converters and their application to electrical power systems and electrical power quality. Dr. Komatsu is a member of the Institute of Electrical and Electronics Engineers (IEEE) and of the Brazilian Power Electronics Society (SOBRAEP).

Lourenço Matakas Junior, Polytechnic School of the University of Sao Paulo – USP2, São Paulo - SP, Brazil

received the B.S., M.S., and Ph.D. degrees in electrical engineering from the Escola Politecnica da Universidade de Sao Paulo, Sao Paulo, Brazil, in 1984, 1989, and 1998, respectively, where he is an Associate Professor since 1996. His research focus is on topologies, control and application of static converters connected to the grid, phase-locked loops, and pulsewidth modulation strategies. He is a member of the Brazilian Power Electronics Society (SOBRAEP) and IEEE.

References

L. Hadjidemetriou, E Kyriakides, F. Blaabjerg, "A Robust Synchronization to Enhance the Power Quality of renewable Energy Systems", IEEE Transactions on Power Electronics, vol. PP, nº 99, pp. 1-1, 2015. https://doi.org/10.1109/TIE.2015.2397871 DOI: https://doi.org/10.1109/TIE.2015.2397871

A. Luna, J. Rocabert, J. I. Candela, J. R. Hermoso, R. Teodorescu, F. Blaabjerg, P. Rodríguez, "Grid Voltage Synchronization for Distributed Generation Systems underGrid Fault Conditions", IEEE Transactions on Industry Applications, vol. 51 nº 4, pp. 3414-3425, July/Aug. 2015. https://doi.org/10.1109/TIA.2015.2391436 DOI: https://doi.org/10.1109/TIA.2015.2391436

R. Destro, L. Matakas Junior, W. Komatsu, N. R. N. Ama, "Implementation Aspects of Adaptive Window Moving Average Filter Applied to PLLs - Comparative Study", in Proc. of COBEP, vol. 01, pp. 730-736, 2013. https://doi.org/10.1109/COBEP.2013.6785196 DOI: https://doi.org/10.1109/COBEP.2013.6785196

F. P. Marafao, S. M. Deckmann, J.A. Pomilio, R. R. Machado, "A Software Based PLL Model: Analysis and Applications", in Proc. of CBA, vol. 01, pp. 1-6, 2004.

F. P. Marafao, S. M. Deckmann, J.A. Pomilio, R. R. Machado, "Metodologia de Projeto e Análise de Algoritmos de Sincronismo PLL", Eletrônica de Potência, vol. 10, nº 1, pp. 7-14, June2005. https://doi.org/10.18618/REP.2005.1.007014 DOI: https://doi.org/10.18618/REP.2005.1.007014

B. Vairamohan, W. Komatsu, M. Galassi, T. C. Monteiro, M. A. Oliveira, S. U. Ahn, L. Matakas Junior, F. P. Marafao, E. Bormio Junior, J. Camargo, M. F. McGranaghan, J. A. Jardini, "Technology Assessment for Power Quality Mitigation Devices -Micro-DVR Case Study", Electric Power Systems Research, vol. 81, nº 6, pp. 1215-1226, June 2011. https://doi.org/10.1016/j.epsr.2011.01.014 DOI: https://doi.org/10.1016/j.epsr.2011.01.014

B. A. Ferrari, N. R. N. Ama, K. C. M. Carvalho, F. O. Martinz, L. Matakas Junior, "Robust Control Design for the Voltage Tracking Loop of a DVR", in Proc. of IPEC, vol. 1, pp. 3278-3285, 2014. https://doi.org/10.1109/IPEC.2014.6870157 DOI: https://doi.org/10.1109/IPEC.2014.6870157

F. D. Freijedo, J. Doval-Gandoy, O. Lopez, E. Acha, "Tuning of Phase-Locked Loops for Power Converters Under Distorted Utility Conditions", IEEE Transactions on Industry Applications, vol. 45, nº 6, pp. 2039-2047, Nov./Dec. 2009. https://doi.org/10.1109/TIA.2009.2031790 DOI: https://doi.org/10.1109/TIA.2009.2031790

S. Golestan, M. Ramezani, J. Guerrero, F. Freijedo, M. Monfared, "Moving Average Filter Based Phase-Locked Loops: Overview and Design Guidelines," IEEE Transactions on Power Electronics,vol. 29, nº 6, pp-2750-2763, June 2014. https://doi.org/10.1109/TPEL.2013.2273461 DOI: https://doi.org/10.1109/TPEL.2013.2273461

N. R. N. Ama, W. Komatsu, F. Kassab Junior, L.Matakas Junior, "Adaptive Single Phase Moving Average Filter PLLs: Analysis, Design, Performance Evaluation and Comparison," Przeglad Elektrotechniczny, nº 3, pp 180-188, May 2014. https://doi.org/10.12915/pe.2014.05.43

N. R. N. Ama, W. Komatsu, L. Matakas Junior, "Single and three phase moving average filter PLLs: Digital controller design recipe," Electric Power Systems Research, vol. 116, pp. 276-283, Nov. 2014. https://doi.org/10.1016/j.epsr.2014.06.019 DOI: https://doi.org/10.1016/j.epsr.2014.06.019

N. R. N. Ama, F.O. Martinz, L. Matakas Junior, F. Kassab Junior, "Phase-Locked Loop Based on Selective Harmonics Elimination for Utility Applications," IEEE Transactions on Power Electronics, vol. 28, n° 1, pp. 144-153, Jan. 2013. https://doi.org/10.1109/TPEL.2012.2195506 DOI: https://doi.org/10.1109/TPEL.2012.2195506

N. R. N. Ama, R. Destro, W. Komatsu, F. KassabJunior, L. Matakas Junior, "PLL performance under frequency fluctuation-compliance with standards for distributed generation connected to the grid," in Proc. of ISGT LA, vol. 1, pp. 1-6, 2013. https://doi.org/10.1109/ISGT-LA.2013.6554374 DOI: https://doi.org/10.1109/ISGT-LA.2013.6554374

G. F. Franklin, J. D. Powell, M.L. Workman, Digital Control of Dynamic Systems, 3a Edição, Ellis-Kagle Press, Half Moon Bay, 1998.

STMicroelectronics, "STM32F4DISCOVERY Discovery kit with STM32F407VG MCU"[Online]. Disponível: www.st.com/internet/evalboard/product/252419.jsp

Downloads

Published

2015-08-31

How to Cite

[1]
N. R. N. Ama, W. Komatsu, and L. Matakas Junior, “Digital Control For PLLs Based On Moving Average Filter: Analysis And Design In Discrete Domain”, Eletrônica de Potência, vol. 20, no. 3, pp. 293–299, Aug. 2015.

Issue

Vol. 20 No. 3 (2015)

Section

Original Papers

License

Copyright (c) 2015 Revista Eletrônica de Potência

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

Crossref
Scopus
Google Scholar
Europe PMC