Authors

Agustín Sánchez-Contreras, Isaac Ortega-Velázquez, Oscar Rodríguez-Benítez, Gerardo Espinosa-Pérez

Abstract

In this paper are presented a novel modeling approach and a passivity-based control scheme to solve the output voltage regulation control problem of a class of Quasiresonant Converters. Instead of consider classical order reduction arguments, the proposed full order model recovers the Port-Controlled Hamiltonian structure naturally exhibited by the converters. This feature leads to the possibility to propose the implementation of a passive PI control scheme which has been widely recognized to achieve high performances while proving in a formal way its stability properties. In addition, the controller structure is complemented by the inclusion of a static map to use both the frequency and the duty-cycle of the square input signal as control input, guaranteeing a Zero Current Switching operation mode which drastically improves the efficiency of the circuit. The usefulness of the proposed model and control are validated in a numerical setting.

Citation

  • Journal: 2024 IEEE 63rd Conference on Decision and Control (CDC)
  • Year: 2024
  • Volume:
  • Issue:
  • Pages: 2760–2765
  • Publisher: IEEE
  • DOI: 10.1109/cdc56724.2024.10886663

BibTeX

@inproceedings{S_nchez_Contreras_2024,
  title={{A Novel Hamiltonian Approach for Modeling and Control of Quasi-Resonant Buck Converters*}},
  DOI={10.1109/cdc56724.2024.10886663},
  booktitle={{2024 IEEE 63rd Conference on Decision and Control (CDC)}},
  publisher={IEEE},
  author={Sánchez-Contreras, Agustín and Ortega-Velázquez, Isaac and Rodríguez-Benítez, Oscar and Espinosa-Pérez, Gerardo},
  year={2024},
  pages={2760--2765}
}

Download the bib file

References

  • Zhao B, Song Q, Liu W, Sun Y (2014) Overview of Dual-Active-Bridge Isolated Bidirectional DC–DC Converter for High-Frequency-Link Power-Conversion System. IEEE Trans Power Electron 29(8):4091–4106. https://doi.org/10.1109/tpel.2013.228991 – 10.1109/tpel.2013.2289913
  • Guan Y, Cecati C, Alonso JM, Zhang Z (2021) Review of High-Frequency High-Voltage-Conversion-Ratio DC–DC Converters. IEEE J Emerg Sel Top Ind Electron 2(4):374–389. https://doi.org/10.1109/jestie.2021.305155 – 10.1109/jestie.2021.3051554
  • Tarzamni H, Gohari HS, Sabahi M, Kyyrä J (2024) Nonisolated High Step-Up DC–DC Converters: Comparative Review and Metrics Applicability. IEEE Trans Power Electron 39(1):582–625. https://doi.org/10.1109/tpel.2023.326417 – 10.1109/tpel.2023.3264172
  • Rodríguez-Benítez OM, Aqui-Tapia JA, Ortega-Velázquez I, Espinosa-Pérez G (2022) Current Source Topologies for Photovoltaic Applications: An Overview. Electronics 11(18):2953. https://doi.org/10.3390/electronics1118295 – 10.3390/electronics11182953
  • Carrasco JM, Galvan E, Valderrama GE, Ortega R, Stankovic AM (2000) Analysis and experimentation of nonlinear adaptive controllers for the series resonant converter. IEEE Trans Power Electron 15(3):536–544. https://doi.org/10.1109/63.84451 – 10.1109/63.844514
  • Fang Z, Wang J, Duan S, Liu K, Cai T (2018) Control of an <italic>LLC</italic> Resonant Converter Using Load Feedback Linearization. IEEE Trans Power Electron 33(1):887–898. https://doi.org/10.1109/tpel.2017.267273 – 10.1109/tpel.2017.2672731
  • Giri F, El Maguiri O, El Fadil H, Chaoui FZ (2011) Nonlinear adaptive output feedback control of series resonant DC–DC converters. Control Engineering Practice 19(10):1238–1251. https://doi.org/10.1016/j.conengprac.2011.07.01 – 10.1016/j.conengprac.2011.07.012
  • Sebastian E, Montijano E, Oyarbide E, Bernal C, Galvez R (2022) Nonlinear Implementable Control of a Dual Active Bridge Series Resonant Converter. IEEE Trans Ind Electron 69(5):5111–5121. https://doi.org/10.1109/tie.2021.308206 – 10.1109/tie.2021.3082062
  • Ortega R, Loría A, Nicklasson PJ, Sira-Ramírez H (1998) Euler-Lagrange systems. Communications and Control Engineering 15–3 – 10.1007/978-1-4471-3603-3_2
  • Ortega R, van der Schaft A, Castanos F, Astolfi A (2008) Control by Interconnection and Standard Passivity-Based Control of Port-Hamiltonian Systems. IEEE Trans Automat Contr 53(11):2527–2542. https://doi.org/10.1109/tac.2008.200693 – 10.1109/tac.2008.2006930
  • Ortega R, Romero JG, Borja P, Donaire A (2021) PID Passivity‐Based Control of Nonlinear Systems with Application – 10.1002/9781119694199
  • Sampath H, Nallaperumal C, Hossain MdJ (2024) Quasi-Resonant Converter for Electric Vehicle Charging Applications: Analysis, Design, and Markov Model Use for Reliability Estimation. Energies 17(4):815. https://doi.org/10.3390/en1704081 – 10.3390/en17040815
  • Wouters H, Martinez W (2024) Bidirectional Onboard Chargers for Electric Vehicles: State-of-the-Art and Future Trends. IEEE Trans Power Electron 39(1):693–716. https://doi.org/10.1109/tpel.2023.331999 – 10.1109/tpel.2023.3319996
  • Long X, Chen D (2023) Small Signal Modeling of LLC Converter with LED Load and Quasi-Resonant Controller Based Active Ripple Rejection. Energies 16(9):3773. https://doi.org/10.3390/en1609377 – 10.3390/en16093773
  • Forouzesh M, Siwakoti YP, Gorji SA, Blaabjerg F, Lehman B (2017) Step-Up DC–DC Converters: A Comprehensive Review of Voltage-Boosting Techniques, Topologies, and Applications. IEEE Trans Power Electron 32(12):9143–9178. https://doi.org/10.1109/tpel.2017.265231 – 10.1109/tpel.2017.2652318
  • Schiavon GL, Agostini E Jr, Nascimento CB (2023) Quasi-Resonant Single-Switch High-Voltage-Gain DC-DC Converter with Coupled Inductor and Voltage Multiplier Cell. Energies 16(9):3874. https://doi.org/10.3390/en1609387 – 10.3390/en16093874
  • Cervantes I, Garcia D, Noriega D (2003) Linear multiloop control of quasi-resonant converters. IEEE Trans Power Electron 18(5):1194–1201. https://doi.org/10.1109/tpel.2003.81619 – 10.1109/tpel.2003.816190
  • Liu K-H, Oruganti R, Lee FCY (1987) Quasi-Resonant Converters-Topologies and Characteristics. IEEE Trans Power Electron PE-2(1):62–71. https://doi.org/10.1109/tpel.1987.476633 – 10.1109/tpel.1987.4766333
  • Stankovic AM, Perreault DJ, Sato K (1999) Synthesis of dissipative nonlinear controllers for series resonant DC/DC converters. IEEE Trans Power Electron 14(4):673–682. https://doi.org/10.1109/63.77420 – 10.1109/63.774204
  • Shi XF, Chan CY (2002) A passivity approach to controller design for quasi-resonant converters. Automatica 38(10):1727–1734. https://doi.org/10.1016/s0005-1098(02)00074- – 10.1016/s0005-1098(02)00074-2
  • Ayubirad MA, Siavoshani SA, Yazdanpanah MJ (2021) A robust passivity based control strategy for quasi‐resonant converters. IET Power Electronics 14(7):1360–1370. https://doi.org/10.1049/pel2.1213 – 10.1049/pel2.12133
  • Rodríguez-Benítez OM, Ortega-Velázquez I, Sánchez-Contreras A, Espinosa-Pérez G (2024) Modified PI Controller for Robustness Improvement of Quasi-Resonant Converters. Processes 12(8):1762. https://doi.org/10.3390/pr1208176 – 10.3390/pr12081762
  • Rameshkumar A, Arumugam S (2013) PI Control of Quasi-resonant Buck Converter. Communications in Computer and Information Science 477–48 – 10.1007/978-3-642-35864-7_73