Adaptive Control Based on Virtual Plant Applied to Synchronous Buck Converter using LCL Filter for Charging Lithium-Ion Batteries
DOI:
https://doi.org/10.18618/REP.e202613Keywords:
Adaptive Control, LCL Filter, Virtual Plant, C-HILAbstract
This paper introduces a virtual plant method as the main contribution, applied independently to two discrete-time adaptive control strategies for a synchronous buck converter used in battery charging: an Adaptive PI Controller (API) and a Model Reference Adaptive Controller (MRAC). The system employs an LCL filter that interfaces the power converter with the batteries. The proposed virtual plant method enhances the transient performance of adaptive systems by pre-tuning the controller gains before the physical connection, enabling automatic gain initialization and mitigating the poor start-up dynamics typical of adaptive control. The API controller performs real-time adaptation of the parameters Kp and Ki, while the MRAC is based on a reduced-order reference model to simplify its design, updating three parameters: θr, θy and θvb. A simplified methodology for designing adaptive controllers is proposed, involving plant simplification and the use of a virtual plant to automate the controller design process. Controller Hardware-in-the-Loop (C-HIL) and experimental results are presented to validate the control approaches. A fixed PI controller is used as a benchmark for comparison with the adaptive control techniques. Quantitative and qualitative analyses are provided using performance indices such as ISE, IAE, ITSE and ITAE.
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J. Qiu, J. Zhao, F. Wen, J. Zhao, C. Gao, Y. Zhou, Y. Tao, S. Lai, “Challenges and Pathways of Low-Carbon Oriented Energy Transition and Power System Planning Strategy: A Review”, IEEE Transactions on Network Science and Engineering, vol. 11, no. 6, pp. 5396–5416, Nov. 2024, doi:10.1109/TNSE.2023.3344729.
V. Sihvonen, S. Honkapuro, “The Role of Energy Storage in Promoting Sustainable Energy Transition in an Island Community”, in 2024 20th International Conference on the European Energy Market (EEM), pp. 1–7, Jun. 2024, doi:10.1109/EEM60825.2024.10608853.
S. Bampi, G. Waltrich, A. Vaccari, “Electronic Load for Parameter characterization in Equivalent Circuit Models of Lithium-Ion Batteries”, Eletrônica de Potência, vol. 30, p. e202521, Feb. 2025, doi:10.18618/REP.e202521.
R. C. de Barros, W. C. S. Amorim, W. d. C. Boaventura, A. F. Cupertino, V. F. Mendes, H. A. Pereira, “Methodology for BESS Design Assisted by Choice Matrix Approach”, Eletrônica de Potência, vol. 29, p. e202412, Jun. 2024, doi:10.18618/REP.2005.1.019027.
S. Ahmed, A. Ali, J. Ahmed Ansari, S. Abdul Qadir, L. Kumar, “A Comprehensive Review of Solar Photovoltaic Systems: Scope, Technologies, Applications, Progress, Challenges, and Recommendations”, IEEE Access, vol. 13, pp. 69723–69750, Apr. 2025, doi:10.1109/ACCESS.2025.3558539.
C. Sun, S. Wang, J. Pou, C. J. Gajanayake, A. K. Gupta, “Asymmetrical-Bidirectional Input-Series–Output-Parallel Modular DC–DC Converter in DC Distribution Grids With Renewables”, IEEE Transactions on Power Electronics, vol. 39, no. 4, pp. 3943–3949, Apr. 2024, doi:10.1109/TPEL.2023.3329775.
P. J. D. O. Evald, G. V. Hollweg, R. V. Tambara, H. A. Gründling, “A Discrete-Time Robust Adaptive PI Controller for Grid-Connected Voltage Source Converter with LCL Filter”, Eletrônica de Potência, vol. 26, no. 1, p. 19–30, Mar. 2021, doi:10.18618/REP.2021.1.0053.
N. Karchi, D. B. Kulkarni, “Development and analysis of adaptive PID controller using LMS algorithm for Distribution Generation-Inverter”, in 2021 Fourth International Conference on Electrical, Computer and Communication Technologies (ICECCT), pp. 1–7, Sep. 2021, doi:10.1109/ICECCT52121.2021.9616702.
J. R. Massing, M. Stefanello, H. A. Gründling, H. Pinheiro, “Adaptive Voltage Control of Grid-Forming Inverters”, in 2023 IEEE 24th Workshop on Control and Modeling for Power Electronics (COMPEL), pp. 1–7, Jun. 2023, doi:10.1109/COMPEL52896.2023.10221056.
B. C. Moura, P. J. dos Santos Neto, D. B. Rodrigues, C. Guimarães, L. C. G. Freitas, J. P. C. Silveira, G. B. de Lima, “Evaluating Adaptive Droop Control for Steady-State Power Balancing in DC Microgrids Using Controller Hardware-in-the-Loop”, Eletrônica de Potência, vol. 29, p. e202451, Dec. 2024, doi:10.18618/REP.e202451.
S. Swathi, B. S. Kumar, J. Upendar, “Adaptive Fuzzy-PID Droop Control VF Stabilization For Robust Renewable Micro Grid System During Grid Islanding Condition”, in 2024 IEEE 4th International Conference on Sustainable Energy and Future Electric Transportation (SEFET), pp. 1–6, Aug. 2024, doi:10.1109/SEFET61574.2024.10717979.
F. G. Nimitti, A. M. S. S. Andrade, “Study and Design of a Non-Isolated Bidirectional DC-DC Converter Based on a Switched Inductor and Voltage Multiplier Cell for Renewable Energy Applications”, Eletrônica de Potência, vol. 30, p. e202558, Nov. 2025, doi:10.18618/REP.e202558.
M. Triggianese, H. Carbonnier, F. Tonicello, M. R. Rogina, “Two-Domains Control of a Buck Converter”, in E3S Web of Conferences, vol. 16, p. 14005, EDP Sciences, May 2017, doi:10.1051/e3sconf/20171614005.
H.-H. Chou, J.-Y. Chen, T.-H. Tseng, J.-Y. Yang, X. Yang, S.-F. Wang, “A New Control Scheme for the Buck Converter”, Applied Sciences, vol. 13, no. 3, Feb. 2023, doi:10.3390/app13031991.
V. D. Rodrigues, J. V. Merlo, J. R. Tibola, R. V. Tambara, “Adaptive Control Applied to Half-Bridge Synchronous Buck Converter using LCL Filter for Charging Batteries”, in 2024 16th Seminar on Power Electronics and Control (SEPOC), pp. 1–6, Oct. 2024, doi:10.1109/SEPOC63090.2024.10747481.
I. S. Chaitanya, K. V. Raj, J. Ramprabhakar, R. Anand, V. P. Meena, A. Kumar, “Performance Evaluation of EHO and GWO Optimization Techniques for PI Controller Tuning of Boost Converter in Photovoltaic based Microgrid”, in 2024 2nd International Conference on Self Sustainable Artificial Intelligence Systems (ICSSAS), pp. 1529–1534, Oct. 2024, doi:10.1109/ICSSAS64001.2024.10760530.
M. Liserre, F. Blaabjerg, S. Hansen, “Design and control of an LCL-filter-based three-phase active rectifier”, IEEE Transactions on Industry Applications, vol. 41, no. 5, pp. 1281–1291, Oct. 2005, doi:10.1109/TIA.2005.853373.
D. M. Lima, B. M. Lima, L. A. Maccari, J. E. Normey-Rico, “Kalman Filter Observers with Harmonic Disturbance Estimation Applied to a Grid-Connected LCL Filter”, in 2018 13th IEEE International Conference on Industry Applications (INDUSCON), pp. 730–737, Nov. 2018, doi:10.1109/INDUSCON.2018.8627294.
M. Liserre, F. Blaabjerg, R. Teodorescu, “Grid Impedance Estimation via Excitation of LCL -Filter Resonance”, IEEE Transactions on Industry Applications, vol. 43, no. 5, pp. 1401–1407, Oct. 2007, doi:10.1109/TIA.2007.904439.
M. Su, B. Cheng, Y. Sun, Z. Tang, B. Guo, Y. Yang, F. Blaabjerg, H. Wang, “Single-Sensor Control of LCL-Filtered Grid-Connected Inverters”, IEEE Access, vol. 7, pp. 38481–38494, Mar. 2019, doi:10.1109/ACCESS.2019.2906239.
X. Zhou, X. Yu, S. Lukic, A. Huang, “LCL filter utilized in battery charging applications to achieve compact size and low ripple charging”, in 2012 IEEE Energy Conversion Congress and Exposition (ECCE), pp. 660–665, Sep. 2012, doi:10.1109/ECCE.2012.6342758.
E. S¸ anal, P. Dost, C. Sourkounis, “LCL-Filter design for a battery charger based on buck converter (DCDC converter)”, in 2016 IEEE International Conference on Renewable Energy Research and Applications (ICRERA), pp. 617–621, Nov. 2016, doi:10.1109/ICRERA.2016.7884408.
Y. Han, Z. Li, P. Yang, C. Wang, L. Xu, J. M. Guerrero, “Analysis and Design of Improved Weighted Average Current Control Strategy for LCL-Type Grid-Connected Inverters”, IEEE Transactions on Energy Conversion, vol. 32, no. 3, pp. 941–952, Feb. 2017, doi:10.1109/TEC.2017.2669031.
J.-Y. Lee, Y.-P. Cho, H.-S. Kim, J.-H. Jung, “Design methodology of passive damped LCL filter using current controller for grid-connected three-phase voltage-source inverters”, Journal of Power Electronics, vol. 18, pp. 1178–1189, Jul. 2018, doi:10.6113/JPE.2018.18.4.1178.
R. Peña-Alzola, M. Liserre, F. Blaabjerg, R. Sebastían, J. Dannehl, F. W. Fuchs, “Analysis of the Passive Damping Losses in LCL-Filter-Based Grid Converters”, IEEE Transactions on Power Electronics, vol. 28, no. 6, pp. 2642–2646, Jun. 2013, doi:10.1109/TPEL.2012.2222931.
L. A. Serpa, S. Ponnaluri, P. M. Barbosa, J. W. Kolar, “A Modified Direct Power Control Strategy Allowing the Connection of Three-Phase Inverters to the Grid Through LCL Filters”, IEEE Transactions on Industry Applications, vol. 43, no. 5, pp. 1388–1400, Oct. 2007, doi:10.1109/TIA.2007.904438.
W.-Y. Sung, H. M. Ahn, J.-H. Ahn, C.-Y. Oh, B. K. Lee, “Sensorless active damping method of LCL-filter in grid-connected parallel inverters for battery energy storage systems”, in 2017 IEEE 3rd International Future Energy Electronics Conference and ECCE Asia (IFEEC 2017 - ECCE Asia), pp. 1425–1429, Jun. 2017, doi:10.1109/IFEEC.2017.7992253.
V. D. Rodrigues, A. O. Damasceno, J. R. Tibola, “Modelagem e Controle de Conversor com Filtro LCL Para Carga e Descarga de Baterias de ´Ions de L´ıtio”, in Proceedings of the 15th Seminar on Power Electronics and Control SEPOC, Universidade Federal de Santa Maria, UFSM, Santa Maria, Oct. 2023, doi:10.53316/sepoc2023.020.
W. B. da Silveira, P. J. D. d. O. Evald, A. S. Lucena, R. V. Tambara, H. A. Gründling, “Auto-Tuning of Adaptive Control Initial Gains Using Virtual System-Based Approach in Grid-Tied Converters”, Eletrônica de Potência, vol. 30, p. e202556, Oct. 2025, doi:10.18618/REP.e202556.
P. J. D. O. Evald, R. V. Tambara, H. A. Gründling, “A Direct Discrete- Time Reduced Order Robust Model Reference Adaptive Control for Grid-Tied Power Converters with Lcl Filter”, Eletrônica de Potência, vol. 25, no. 3, p. 361–372, Sep. 2020, doi:10.18618/rep.2020.3.0039.
R. Tambara, Controle Adaptativo: Teoria e Aplicação, Editora UFSM, 2024, URL: https://books.google.com.br/books?id=mkcAEQAAQBAJ.
J. R. Tibola, R. L. Sari, T. D. M. Lanzanova, M. E. S. Martins, H. Pinheiro, “Modeling and Control of a Low-Cost Driver For an Eddy Current Dynamometer”, Journal of Control, Automation and Electrical Systems, vol. 27, no. 4, pp. 368–378, Apr. 2016, doi:10.1007/s40313-016-0244-4.
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Copyright (c) 2026 Vinícius D. Rodrigues, Maicon de Miranda, Wagner B. da Silveira, Jonas Roberto Tibola, Lucas G. Scherer, Rodrigo Varella Tambara

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