Skip to main content

Advertisement

SpringerLink
Log in

Optimal control of multilevel boost converter via exact feedback linearization and decoupling

  • Original Paper
  • Published:
Electrical Engineering Aims and scope Submit manuscript

Abstract

Multilevel boost converter is a multi-input multi-output nonlinear strongly coupled system. There is a coupling relationship between flying capacitor voltages and output voltage. In this paper, an optimal control method for n + 1-level boost converter based on exact feedback linearization and decoupling is proposed. The flying capacitor voltages and energy function are selected as the output functions to linearize and decouple the original system into n − 1 first-order subsystems and a second-order subsystem. Based on the optimal control theory, flying capacitor voltage balancing controllers are designed for n − 1 first-order subsystems, and an output voltage regulating controller is designed for the second-order subsystem. A five-level boost converter control system is verified by numerical simulation and a three-level boost converter control system is verified by experiment. Simulation and experimental results show that the proposed control strategy has better dynamic regulation performance and stronger robustness than PI decoupling control strategy based on small-signal model.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12
Fig. 13

Similar content being viewed by others

References

  1. Yuan X (2016) Ultimate generalized multilevel converter topology. IEEE Trans Power Electr 36:8634–8639

    Article  Google Scholar 

  2. Kouro S, Malinowski M, Gopakumar K et al (2010) Recent advances and industrial applications of multilevel converters. IEEE Trans Ind Electron 57:2553–2580

    Article  Google Scholar 

  3. Meynard TA, Foch H, Forest F et al (2002) Multicell converters: derived topologies. IEEE Trans Ind Electron 49:978–987

    Article  Google Scholar 

  4. Costa LF, Mussa SA, Barbi I (2014) Multilevel buck/boost-type DC–DC converter for high-power and high-voltage application. IEEE Trans Ind Appl 50:3931–3942

    Article  Google Scholar 

  5. Zhang Y, Shi J, Zhou L et al (2017) Wide input-voltage range boost three-level DC–DC converter with quasi-Z source for fuel cell vehicles. IEEE Trans Power Electr 32:6728–6738

    Article  Google Scholar 

  6. Lefevre G, Mollov SV (2016) A soft-switched asymmetric flying-capacitor boost converter with synchronous rectification. IEEE Trans Power Electr 31:2200–2212

    Article  Google Scholar 

  7. Dekka A, Wu B, Fuentes RL et al (2017) Voltage-balancing approach with improved harmonic performance for modular multilevel converters. IEEE Trans Power Electr 32:5878–5884

    Article  Google Scholar 

  8. Wilkinson RH, Meynard TA, Mouton HDT (2006) Natural balance of multicell converters: the two-cell case. IEEE Trans Power Electr 21:1649–1657

    Article  Google Scholar 

  9. Wilkinson RH, Meynard TA, Mouton HDT (2006) Natural balance of multicell converters: the general case. IEEE Trans Power Electr 21:1658–1666

    Article  Google Scholar 

  10. McGrath BP, Holmes DG (2008) Analytical modelling of voltage balance dynamics for a flying capacitor multilevel converter. IEEE Trans Power Electr 23:543–550

    Article  Google Scholar 

  11. Feng C, Liang J, Agelidis VG (2007) Modified phase-shifted PWM control for flying capacitor multilevel converters. IEEE Trans Power Electr 22:178–185

    Article  Google Scholar 

  12. Thielemans S, Ruderman A, Reznikov B, Melkebeek J (2012) Improved natural balancing with modified phase-shifted PWM for single-leg five-level flying-capacitor converters. IEEE Trans Power Electr 27:1658–1667

    Article  Google Scholar 

  13. McGrath BP, Holmes DG (2009) Enhanced voltage balancing of a flying capacitor multilevel converter using Phase Disposition (PD) modulation. IEEE Energy Convers Congr Expos 2009:3108–3115

    Google Scholar 

  14. Sadigh AK, Hosseini SH, SabahiM GGB (2010) Double flying capacitor multicell converter based on modified phase-shifted pulsewidth modulation. IEEE Trans Power Electr 25:1517–1526

    Article  Google Scholar 

  15. Defay F, Llor AM, Fadel M (2008) A predictive control with flying capacitor balancing of a multicell active power filter. IEEE Trans Ind Electron 55:3212–3220

    Article  Google Scholar 

  16. Chen H, Wang D, Tang S et al (2021) Continuous control set model predictive control for three-level flying capacitor boost converter with constant switching frequency. IEEE J Emerg Sel Top Power Electron 9:5996–6007

    Article  Google Scholar 

  17. Amini J, Viki AH, Radan A, Moallem M (2016) A general active capacitor voltage regulating method for L-level M-cell N-phase flying capacitor multilevel inverter with arbitrary DC voltage distribution. IEEE Trans Ind Electron 63:2659–2668

    Article  Google Scholar 

  18. Sadigh AK, Dargahi V, Corzine KA (2017) New active capacitor voltage balancing method for flying capacitor multicell converter based on logic-form-equations. IEEE Trans Ind Electron 64:3467–3478

    Article  Google Scholar 

  19. Chen HC, Lu CY, Lien WH, Chen TH (2019) Active capacitor voltage balancing control for three-level flying capacitor boost converter based on average-behavior circuit model. IEEE Trans Ind Appl 55:1628–1638

    Article  Google Scholar 

  20. Lu CY, Lin DH, Chen HC (2021) Decoupled design of voltage regulating and balancing controls for four-level flying capacitor converter. IEEE Trans Ind Electron 68:12152–12161

    Article  Google Scholar 

  21. Wu J, Lu Y (2020) Decoupling and optimal control of multilevel buck DC–DC converters with inverse system theory. IEEE Trans Ind Electron 67:7861–7870

    Article  Google Scholar 

  22. Wu J, Lu Y (2020) Exact feedback linearisation optimal control for single-inductor dual-output boost converter. IET Power Electron 13:2293–2301

    Article  Google Scholar 

  23. Gateau G, Fadel M, Maussion P, Bensaid R, Meynard TA (2002) Multicell converters: active control and observation of flying-capacitor voltages. IEEE Trans Ind Electron 49:998–1008

    Article  Google Scholar 

  24. Roshan YM, Moallem M (2014) Control of nonminimum phase load current in a boost converter using output redefinition. IEEE Trans Power Electr 29:5054–5062

    Article  Google Scholar 

  25. Ponniran AB, Orikawa K, Itoh J (2016) Minimum flying capacitor for n-level capacitor DC/DC boost converter. IEEE Trans Ind Appl 52:3255–3266

    Article  Google Scholar 

  26. Chen H, Tang S, Wang D et al (2020) Model predictive control based on state-space averaging model for three-level flying capacitor boost converter with constant switching frequency and improved dynamic performance. In: 2020 IEEE 9th international power electronics and motion control conference (IPEMC2020-ECCE Asia), pp 3051–3056

  27. Slotine JE, Li W (2006) Applied nonlinear control, Translated by Cheng D, China Machine Press, Beijing

Download references

Acknowledgements

This work was supported in part by the National Natural Science Foundation of China under Grant 52167021, and in part by the Key Program of Natural Science Foundation of Guangxi Province of China under Grant 2018GXNSFDA281037.

Author information

Authors and Affiliations

  1. School of Electrical Engineering, Guangxi University, Nanning, China

    Jingwei Jiang & Yimin Lu

Authors
  1. Jingwei Jiang
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Yimin Lu
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Yimin Lu.

Ethics declarations

Conflict of interest

On behalf of all authors, the corresponding author states that there is no conflict of interest.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Jiang, J., Lu, Y. Optimal control of multilevel boost converter via exact feedback linearization and decoupling. Electr Eng 105, 359–368 (2023). https://doi.org/10.1007/s00202-022-01665-7

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00202-022-01665-7

Keywords

Search

Navigation