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Multivariable control of modular multilevel converters with convergence and safety guarantees (2403.18371v1)

Published 27 Mar 2024 in eess.SY and cs.SY

Abstract: Well-designed current control is a key factor in ensuring the efficient and safe operation of modular multilevel converters (MMCs). Even though this control problem involves multiple control objectives, conventional current control schemes are comprised of independently designed decoupled controllers, e.g., proportional-integral (PI) or proportional-resonant (PR). Due to the bilinearity of the MMC dynamics, tuning PI and PR controllers so that good performance and constraint satisfaction are guaranteed is quite challenging. This challenge becomes more relevant in an AC/AC MMC configuration due to the complexity of tracking the single-phase sinusoidal components of the MMC output. In this paper, we propose a method to design a multivariable controller, i.e., a static feedback gain, to regulate the MMC currents. We use a physics-informed transformation to model the MMC dynamics linearly and synthesise the proposed controller. We use this linear model to formulate a linear matrix inequality that computes a feedback gain that guarantees safe and effective operation, including (i) limited tracking error, (ii) stability, and (iii) meeting all constraints. To test the efficacy of our method, we examine its performance in a direct AC/AC MMC simulated in Simulink/PLECS and in a scaled-down AC/AC MMC prototype to investigate the ultra-fast charging of electric vehicles.

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References (22)
  1. A. Lesnicar and R. Marquardt, “An innovative modular multilevel converter topology suitable for a wide power range,” in 2003 IEEE Bologna Power Tech Conference Proceedings,, vol. 3, 2003, pp. 6 pp. Vol.3–.
  2. M. A. Perez, S. Ceballos, G. Konstantinou, J. Pou, and R. P. Aguilera, “Modular multilevel converters: Recent achievements and challenges,” IEEE Open Journal of the Industrial Electronics Society, vol. 2, pp. 224–239, 2021.
  3. R. V. K. Challa, S. Mikkili, and P. K. Bonthagorla, “Modeling, controlling approaches, modulation schemes, and applications of modular multilevel converter,” Journal of Control, Automation and Electrical Systems, vol. 34, no. 1, pp. 189–215, 2023.
  4. R. Marquardt, “Modular multilevel converters: State of the art and future progress,” IEEE Power Electronics Magazine, vol. 5, no. 4, pp. 24–31, 2018.
  5. A. Dekka, B. Wu, V. Yaramasu, R. L. Fuentes, and N. R. Zargari, “Model predictive control of high-power modular multilevel converters—an overview,” IEEE Journal of Emerging and Selected Topics in Power Electronics, vol. 7, pp. 168–183, 3 2019.
  6. J. Böcker, B. Freudenberg, A. The, and S. Dieckerhoff, “Experimental comparison of model predictive control and cascaded control of the modular multilevel converter,” IEEE Transactions on Power Electronics, vol. 30, no. 1, pp. 422–430, 2015.
  7. M. Jeong, S. Fuchs, and J. Biela, “High performance lqr control of modular multilevel converters with simple control structure and implementation,” in 2020 22nd European Conference on Power Electronics and Applications (EPE’20 ECCE Europe), 2020, pp. P.1–P.10.
  8. G. Darivianakis, T. Geyer, and W. van der Merwe, “Model predictive current control of modular multilevel converters,” in 2014 IEEE Energy Conversion Congress and Exposition (ECCE), 2014, pp. 5016–5023.
  9. V. D. Reyes Dreke and M. Lazar, “Long-horizon nonlinear model predictive control of modular multilevel converters,” Energies, vol. 15, no. 4, 2022.
  10. Y. Pereira Marca, M. Roes, J. Duarte, and C. Wijnands, “Isolated mmc-based ac/ac stage for ultrafast chargers,” in 2021 IEEE 30th International Symposium on Industrial Electronics (ISIE), 2021.
  11. S. Song, J. Liu, S. Ouyang, X. Chen, and B. Liu, “Control of direct ac/ac modular multilevel converter in railway power supply system,” in 2018 International Power Electronics Conference (IPEC-Niigata 2018 -ECCE Asia), 2018, pp. 1051–1055.
  12. J. Yu, X. Hou, C. Xia, G. You, and Z. Liu, “Control method of an ac-ac mmc for open-end stator winding wind turbine generation system,” International Journal of Electrical Power and Energy Systems, vol. 153, p. 109268, 2023.
  13. A. Timbus, M. Ciobotaru, R. Teodorescu, and F. Blaabjerg, “Adaptive resonant controller for grid-connected converters in distributed power generation systems,” in Twenty-First Annual IEEE Applied Power Electronics Conference and Exposition, 2006. APEC ’06., 2006, pp. 6 pp.–.
  14. L. Harnefors, A. Antonopoulos, K. Ilves, and H.-P. Nee, “Global asymptotic stability of current-controlled modular multilevel converters,” IEEE Transactions on Power Electronics, vol. 30, no. 1, pp. 249–258, 2015.
  15. A. Zama, A. Benchaib, S. Bacha, D. Frey, S. Silvant, and D. Georges, “Linear feedback dead-beat control for modular multilevel converters: Validation under faults grid operation mode,” IEEE Transactions on Industrial Electronics, vol. 68, no. 4, pp. 3181–3191, 2021.
  16. S. D. Tavakoli, S. Fekriasl, E. Prieto-Araujo, J. Beerten, and O. Gomis-Bellmunt, “Optimal ℋ∞subscriptℋ\mathcal{H}_{\infty}caligraphic_H start_POSTSUBSCRIPT ∞ end_POSTSUBSCRIPT control design for mmc-based hvdc links,” IEEE Transactions on Power Delivery, vol. 37, no. 2, pp. 786–797, 2022.
  17. B. Francis and W. Wonham, “The internal model principle of control theory,” Automatica, vol. 12, no. 5, pp. 457–465, 1976.
  18. Y. Pereira Marca, J. Duarte, M. Roes, and C. Wijnands, “Extended operating region of modular multilevel converters using full-bridge sub-modules,” in 2021 23rd European Conference on Power Electronics and Applications (EPE’21 ECCE Europe), 2021.
  19. A. Lopez, D. E. Quevedo, R. Aguilera, T. Geyer, and N. Oikonomou, “Reference design for predictive control of modular multilevel converters,” in 2014 4th Australian Control Conference (AUCC), 2014, pp. 239–244.
  20. S. Rohner, J. Weber, and S. Bernet, “Continuous model of modular multilevel converter with experimental verification,” in 2011 IEEE Energy Conversion Congress and Exposition, 2011, pp. 4021–4028.
  21. IEEE, “IEEEIEEE\mathrm{IEEE}roman_IEEE standard definitions for the measurement of electric power quantities under sinusoidal, nonsinusoidal, balanced, or unbalanced conditions,” IEEE Std 1459-2010 (Revision of IEEE Std 1459-2000), pp. 1–50, 2010.
  22. Y. Pereira Marca, M. Roes, and K. Wijnands, “Capacitor voltage ripple and capacitance evaluation in a direct three-phase to single-phase ac/ac mmc,” in 11th International Conference on Power Electronics, ICPE 2023 ECCE, 2023.
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