Feasibility Implementation Analysis of the Parks-McClellan Algorithm in Capacitor Voltage Active Damping

José de A. Olímpio Filho; Luis de O. Arenas; Paulo Fernando Silva; Lucas C. Souza; Fernando P. Marafão; Tiago D. C. Busarello; Helmo K. M. Paredes

doi:10.18618/REP.e202620

Authors

José de A. Olímpio Filho São Paulo State University https://orcid.org/0000-0003-4866-030X
Luis de O. Arenas São Paulo State University https://orcid.org/0000-0001-5160-606X
Paulo Fernando Silva São Paulo State University https://orcid.org/0000-0002-6295-0795
Lucas C. Souza São Paulo State University https://orcid.org/0000-0003-1853-0301
Fernando P. Marafão São Paulo State University https://orcid.org/0000-0003-3525-3297
Tiago D. C. Busarello Federal University of Santa Catarina https://orcid.org/0000-0002-5406-3811
Helmo K. M. Paredes São Paulo State University https://orcid.org/0000-0001-8664-3573

DOI:

https://doi.org/10.18618/REP.e202620

Keywords:

Active damping, digital differentiator, Parks-McClellan algorithm, implementation technique, digital signal controller

Abstract

This paper presents an analysis of the computational implementation of capacitor-voltage-based active damping (CVAD) for mitigating the resonance of LCL filters in power electronic converters based on Parks–McClellan (PM) FIR differentiator. The proposed approach relies on capacitor voltage feedback, eliminating the need for additional current sensors while ensuring both active damping and synchronization. The FIR differentiator, designed with the PM algorithm, emulates the derivative with low noise amplification and minimal phase delay, enabling effective resonance attenuation over a wide frequency range. The study addresses the implementation of the algorithm and provides a critical review of its applicability in conventional single-core and dual-core digital signal controllers, such as the TMS320F28335 and TMS320F28379D. Experimental validation on a single-phase grid-connected inverter demonstrates the effectiveness of the method in suppressing LCL resonance, highlighting its processing rate, feasibility for different filter orders, and practical viability in commercially available Digital Signal Controllers (DSCs) for both academic and industrial applications.

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Author Biographies

José de A. Olímpio Filho, São Paulo State University

received the B.Sc. degree in electrical engineering from the Federal University of Mato Grosso do Sul, Campo Grande, Brazil, in 2017, and the M.Sc. degree in electrical engineering from São Paulo State University (UNESP), Bauru, Brazil, in 2019. His main research interests include power electronics and power quality. Mr. Olimpio Filho was a Finalist in the 2015 IEEE International Future Energy Challenge, receiving the Best Educational Impact Award in MI, USA

Luis de O. Arenas, São Paulo State University

received the B.S. degree in electronic engineering from the National University of Colombia, Bogotá, Colombia, in 2012, and the M.Sc. and Ph.D. degrees in electrical engineering from São Paulo State University (UNESP), Sorocaba, Brazil, in 2014 and 2019, respectively. He conducted his postdoctoral studies with the Power Electronics Laboratory, UNESP/FEIS, in 2019, and the Automation and Integrated Systems Group (GASI), UNESP, from 2020 to 2022. He is currently an Assistant Professor with the Department of Environmental Engineering, ICTS, UNESP. His research interests include electronic instrumentation and data science applied to environmental systems, power electronics, power quality, and digital and analog signal processing

Paulo Fernando Silva, São Paulo State University

received the B.Sc. degree in electrical engineering from Centro Universitário Central Paulista, São Carlos, Brazil, in 2017, and the M.Sc. degree in electrical engineering from the Federal University of São Carlos (UFSCar), São Carlos, in 2022. He is currently pursuing the Ph.D. degree with São Paulo State University (UNESP), Sorocaba, Brazil. He is currently a member of the Automation and Integrated Systems Group (GASI), UNESP. His research interests include modeling and control strategies for power electronic inverters, with an emphasis on microgrids.

Lucas C. Souza, São Paulo State University

received the B.S. degree in electrical engineering from the Federal Institute of Education, Science and Technology of Goiás (IFG) in 2018, and the M.S. degree in electrical engineering from the São Paulo State University (UNESP), Ilha Solteira, in 2021. He is currently pursuing the Ph.D. degree in electrical engineering at UNESP, Bauru, Brazil. His current research interests include power electronics, power quality, embedded systems, and isolated electrical power systems. Mr. Souza is dedicated to the application of power electronic converters in energy systems.

Fernando P. Marafão, São Paulo State University

holds a Bachelor’s degree (1997) in Electrical Engineering from the Sao Paulo State University (Unesp), as well as a Master’s (2000) and a Ph.D. (2004) from the University of Campinas (Unicamp). He has conducted research internships at the University of Zaragoza (1997) and the University of Padova (2002) and he was a visiting scholar at the Colorado School of Mines (2013), and the Norwegian University of Science and Technology (2020). Since 2005, he has been an Associate Professor at Unesp in Sorocaba (SP/Brazil), where he leads or contributes to several research projects, with over 200 published articles. His primary research interests include Digital Processing and Control for Smart Grids, Power Processing and Energy Management and the Modernization of Power Systems (onshore and offshore). He has supervised several doctoral theses, masters’ dissertations, undergraduate and postdoctoral research projects. Dr. Marafao is a member of the Institute of Electrical and Electronics Engineers (IEEE), the Brazilian Society of Power Electronics (Sobraep) and the Brazilian Automation Society (SBA).

Tiago D. C. Busarello, Federal University of Santa Catarina

(Senior Member, IEEE) received the master’s and Ph.D. degrees in electrical engineering from the University of Campinas (UNICAMP), Campinas, Brazil, in 2013 and 2015, respectively. In 2014, he was a Visiting Researcher with the Colorado School of Mines, Golden, CO, USA. He has been a Professor at the Federal University of Santa Catarina, Blumenau, Brazil, since 2016. From 2022 to 2023, he was a Post-Doctoral Researcher at the University of Vaasa, Vaasa, Finland. He is the author of the book Power Electronic Converters and Systems (IET) from 2024. He is an associate editor of the Brazilian Journal of Power Electronics. His research interests include digital control for power electronics and digital twins. Dr. Curi Busarello is a member of the IEEE Power Electronics Society.

Helmo K. M. Paredes, São Paulo State University

(Senior Member, IEEE) received the B.Sc. degree in electrical engineering from San Agustin National University (UNSA), Arequipa, Peru, in 2002, and the M.Sc. and Ph.D. degrees in electrical engineering from the University of Campinas (UNICAMP), Campinas, Brazil, in 2006 and 2011, respectively. In 2009, he joined the University of Padova, Padua, Italy, as a Visiting Student. In 2014, he joined the University of Nottingham, Nottingham, U.K., as a Visiting Scholar. In 2018, he continued his research abroad as a Visiting Scholar with the Colorado School of Mines, Golden, CO, USA. From 2017 to 2023, he was the Leader of the Automation and Integrated Systems Group (GASI), São Paulo State University (UNESP), Sorocaba, Brazil. Since December 2011, he has been an Associate Professor with UNESP. His research interests include power quality, harmonics and unbalanced propagation, grid-connected converters for renewable energy systems, and microgrid controls. Dr. Morales Paredes is a member of the Brazilian Power Electronics Society (SOBRAEP) and the Brazilian Automation Society (SBA). He received the Prize Paper Award from IEEE TRANSACTIONS ON POWER ELECTRONICS, in 2011 and two consecutive Best Paper Awards from Brazilian Power Quality Society (SBQEE) in 2021 and 2023, respectively.

References

E. Mattos, L. C. Borin, P. J. D. d. O. Evald, G. V. Hollweg, V. F. Montagner, “Comparação de técnicas de realimentação de estados para conversores conectados à rede por filtro LCL”, Eletrônica de Potência, vol. 28, no. 1, pp. 7–16, Jan 2023, doi:10.18618/REP.2023.1.0044.

J. d. A. O. Filho, H. K. M. Paredes, J. P. Bonaldo, A. M. S. Alonso, F. P. Marafão, M. G. Simões, “Compensation of Oscillating Instantaneous Power in Modern Microgrids Based on the Conservative Power Theory”, Eletrônica de Potência, vol. 25, no. 3, pp. 261–271, Sep 2020, doi:10.18618/REP.2020.3.0017.

J. d. Arimatéia Olímpio Filho, H. Kelis Morales Paredes, A. M. dos Santos Alonso, J. Paulo Bonaldo, F. P. Marafão, M. Godoy Simões, “3-Phase Multi-Functional Grid-Tied Inverter for Compensation of Oscillating Instantaneous Power”, in 2019 IEEE 15th Brazilian Power Electronics Conference and 5th IEEE Southern Power Electronics Conference (COBEP/SPEC), pp. 1–6, 2019, doi:10.1109/COBEP/SPEC44138.2019.9065443.

V. F. Gruner, C. F. Gonc¸alves, L. Schmitz, D. C. Martins, R. F. Coelho, “Metodologia para Estimação da Distorção Harmônica Total em Inversores Monofásicos Conectados à Rede Elétrica”, Eletrônica de Potência, vol. 28, no. 4, pp. 314–323, Dec 2023, doi:10.18618/REP.2023.4.0027.

A. d. A. Romão, N. d. Silva, “A Generic Robust Model-Based Estimator for Active Damping of Single-Phase Grid-Tied Inverters”, Eletrônica de Potência, vol. 27, no. 1, pp. 78–86, Feb 2022, doi:10.18618/REP.2022.1.0038.

A. M. Dos Santos Alonso, L. De Oro Arenas, J. P. Bonaldo, J. De A. Olímpio Filho, F. P. Marafão, H. K. M. Paredes, “Power Quality Improvement in Commercial and Industrial Sites: An Integrated Approach Mitigating Power Oscillations”, IEEE Access, vol. 12, pp. 50872–50884, 2024, doi:10.1109/ACCESS.2024.3385991.

“IEEE Std 1547-2018 (Revision of IEEE Std 1547-2003) – IEEE Standard for Interconnection and Interoperability of Distributed Energy Resources with Associated Electric Power Systems Interfaces”, 2018, doi:10.1109/IEEESTD.2018.8332112.

IEC 61727:2004 Photovoltaic (PV) systems – Characteristics of the utility interface, International Electrotechnical Commission, Geneva, Switzerland, 2004.

C. C. Gomes, A. F. Cupertino, H. A. Pereira, “Damping techniques for grid-connected voltage source converters based on LCL filter: An overview”, Renewable and Sustainable Energy Reviews, vol. 81, pp. 116–135, 2018, doi:10.1016/j.rser.2017.07.050.

P. Sergio Nascimento Filho, T. André dos Santos Barros, M. Gradella Villalva, E. Ruppert Filho, “Modelagem Precisa para Análise e Projeto de Controle do Elo CC do Conversor Fonte de Tensão Trifásico com Filtro LCL Conectado à Rede Elétrica”, Eletrônica de Potência, vol. 22, no. 1, pp. 7–18, Mar 2017, doi:10.18618/REP.2017.1.2639.

J. de Arimatéia Olímpio Filho, G. Lucas Bressanini, P. Fernando Silva, L. De Oro Arenas, T. Davi Curi Busarello, H. K. Morales Paredes, “Active Damping of LCL Resonance in Grid-Connected Inverters Through Capacitor–Voltage Feedback and the Parks–McClellan Algorithm”, IEEE Journal of Emerging and Selected Topics in Power Electronics, vol. 13, no. 3, pp. 3397–3410, 2025, doi:10.1109/JESTPE.2025.3542567.

W. Wu, Y. Liu, Y. He, H. S.-H. Chung, M. Liserre, F. Blaabjerg, “Damping Methods for Resonances Caused by LCL-Filter-Based Current-Controlled Grid-Tied Power Inverters: An Overview”, IEEE Transactions on Industrial Electronics, vol. 64, no. 9, pp. 7402–7413, 2017, doi:10.1109/TIE.2017.2714143.

J. d. A. O. Filho, G. L. Bressanini, T. D. Curi Busarello, L. De Oro Arenas, P. F. Silva, H. K. Morales Paredes, “Parks-McClellan Algorithm-Based Active Damping Strategy Applied to Grid-Connected Inverters”, in 2023 IEEE 8th Southern Power Electronics Conference and 17th Brazilian Power Electronics Conference (SPEC/COBEP), pp. 1–7, 2023, doi:10.1109/SPEC56436.2023.10408160.

Z. Xin, P. C. Loh, X. Wang, F. Blaabjerg, Y. Tang, “Highly Accurate Derivatives for LCL-Filtered Grid Converter With Capacitor Voltage Active Damping”, IEEE Transactions on Power Electronics, vol. 31, no. 5, pp. 3612–3625, 2016, doi:10.1109/TPEL.2015.2467313.

R. Peña-Alzola, M. Liserre, F. Blaabjerg, R. Sebastían, J. Dannehl, F. W. Fuchs, “Systematic Design of the Lead-Lag Network Method for Active Damping in LCL-Filter Based Three Phase Converters”, IEEE Transactions on Industrial Informatics, vol. 10, no. 1, pp. 43–52, 2014, doi:10.1109/TII.2013.2263506.

L. Harnefors, A. G. Yepes, A. Vidal, J. Doval-Gandoy, “Passivity-Based Controller Design of Grid-Connected VSCs for Prevention of Electrical Resonance Instability”, IEEE Transactions on Industrial Electronics, vol. 62, no. 2, pp. 702–710, 2015, doi:10.1109/TIE.2014.2336632.

Z. Xin, X. Wang, P. C. Loh, F. Blaabjerg, “SOGI-based capacitor voltage feedback active damping in LCL-filtered grid converters”, in 2015 IEEE 6th International Symposium on Power Electronics for Distributed Generation Systems (PEDG), pp. 1–6, 2015, doi:10.1109/PEDG.2015.7223088.

Z. Xin, X. Wang, P. C. Loh, F. Blaabjerg, “Realization of Digital Differentiator Using Generalized Integrator For Power Converters”, IEEE Transactions on Power Electronics, vol. 30, no. 12, pp. 6520–6523, 2015, doi:10.1109/TPEL.2015.2442414.

D. Pan, X. Ruan, X. Wang, “Direct Realization of Digital Differentiators in Discrete Domain for Active Damping of LCL -Type Grid-Connected Inverter”, IEEE Transactions on Power Electronics, vol. 33, no. 10, pp. 8461–8473, 2018, doi:10.1109/TPEL.2017.2780174.

S. Ke, Y. Li, “An Improved Active Damping Method for Enhancing Robustness of LCL-Type, Grid-Tied Inverters under Weak Grid Conditions”, Sensors, vol. 23, no. 19, 2023, doi:10.3390/s23198203.

T. D. Curi Busarello, K. Zeb, M. G. Simões, “Highly Accurate Digital Current Controllers for Single-Phase LCL-Filtered Grid- Connected Inverters”, Electricity, vol. 1, no. 1, pp. 12–36, 2020, doi:10.3390/electricity1010002.

J. P. Bonaldo, J. d. A. Olímpio Filho, A. M. dos Santos Alonso, H. K. Morales Paredes, F. Pinhabel Marafão, “Modeling and Control of a Single-Phase Grid-Connected Inverter with LCL Filter”, IEEE Latin America Transactions, vol. 19, no. 02, pp. 250–259, 2021, doi:10.1109/TLA.2021.9443067.

T. D. Curi Busarello, J. F. Guerreiro, M. G. Simões, J. A. Pomilio, “Hardware-in-the-Loop Experimental Setup of a LCL-Filtered Grid-Connected Inverter with Digital Proportional-Resonant Current Controller”, in 2021 IEEE 22nd Workshop on Control and Modelling of Power Electronics (COMPEL), pp. 1–8, 2021, doi:10.1109/COMPEL52922.2021.9646047.

S. Bacha, I. Munteanu, A. I. Bratcu, Power Electronic Converters Modeling and Control: With Case Studies, Springer London, 2013, doi:10.1007/978-1-4471-5478-5.

X. Ruan, X. Wang, D. Pan, D. Yang, W. Li, C. Bao, Control Techniques for LCL-Type Grid-Connected Inverters, CPSS Power Electronics Series, 1 ed., Springer Singapore, Singapore, 2017, doi:10.1007/978-981-10-4277-5.

R. Meyer, A. Mertens, “Design of LCL filters in consideration of parameter variations for grid-connected converters”, in 2012 IEEE Energy Conversion Congress and Exposition (ECCE), pp. 557–564, 2012, doi:10.1109/ECCE.2012.6342772.

J. d. A. O. Filho, P. F. Silva, L. De Oro Arenas, T. D. C. Busarello, H. K. M. Paredes, “CPT-based Active Power Filter with Repetitive Controller and Capacitor Voltage Feedforward under Non-Ideal Grid”, in 2024 IEEE ANDESCON, pp. 1–6, 2024, doi:10.1109/ANDESCON61840.2024.10755754.