Skip to main content
Log in

Improved backward model predictive control for modular multilevel active power filter

  • Published:
International Journal of Dynamics and Control Aims and scope Submit manuscript

Abstract

Modular multilevel converters (MMCs) are mostly used in active power filters (APFs) due to their high modularity and easy scalability. Furthermore, model predictive control (MPC) has become one of the preferred methods in many modern control applications due to its good control effect and strong robustness. Aiming at the problem that the computational load of the traditional MPC rises significantly with the increase in the number of submodules (SMs), this paper proposes an improved backward MPC strategy for modular multilevel active power filter (MMC-APF). This strategy is based on nearest level modulation (NLM) to reversely predict the number of SMs pre-inserted in the upper and lower bridge arms, then expands the number of SMs inserted in each phase from N to [N − 1, N + 1], and the optimal number of SMs finally inserted in the upper and lower bridge arms is determined by minimizing the circulating current. A sorting algorithm is used to obtain the switching states of each SM, while maintaining the balance of capacitor voltages and reducing the switching frequency. The proposed strategy does not need to design weighting factors and greatly reduces the computational load of MPC. Simulation results show that the control strategy proposed in this paper has a small computational load and has good performance in harmonic current compensation, verifying the effectiveness of the proposed control strategy.

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

Access this article

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

Instant access to the full article PDF.

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
Fig. 14
Fig. 15

Similar content being viewed by others

Data availability

The data that support the findings of this study are available from the corresponding author, upon reasonable request.

References

  1. Li D, Wang T, Pan W et al (2021) A comprehensive review of improving power quality using active power filters. Electr Power Syst Res 199:107389

    Article  Google Scholar 

  2. Kurtoğlu M, Eroğlu F, Arslan AO et al (2019) Recent contributions and future prospects of the modular multilevel converters: a comprehensive review. Int Trans Electr Energy Syst 29(3):e2763

    Article  Google Scholar 

  3. Thentral TM, Palanisamy R, Usha S et al (2022) The improved unified power quality conditioner with the modular multilevel converter for power quality improvement. Int Trans on Electr Energy Syst 2022:1–15

    Article  Google Scholar 

  4. Xu Q, Li P, Ma Z et al (2019) Study of modular APF parallel combination system aiming at power quality improvement in distribution network. In: 2019 IEEE sustainable power and energy conference (iSPEC), IEEE, pp 2506–2511

  5. Zhao Y, He H, Meng H et al (2021) Application research on APF based on elm optimization Pi+ repetitive control strategy. Comput Appl Softw 38(03):46–50

    Google Scholar 

  6. Cheng Q, Jiang C, Wang Y et al (2020) Lyapunov function control strategy of MMC-SAPF under non-ideal conditions. Electric Power Autom Equip 40(08):68–79

    Google Scholar 

  7. Majstorović M, Abarca MER, Ristic L (2019) Review of MPC techniques for MMCs. In: 2019 20th International symposium on power electronics (Ee), IEEE, pp 1–7

  8. Harbi I, Rodriguez J, Liegmann E et al (2023) Model predictive control of multilevel inverters: challenges, recent advances, and trends. IEEE Trans Power Electron 38(9):10845–10868

    Article  Google Scholar 

  9. Sayadian N, Abedi M, Jahangiri F (2024) Observer-based event-triggered fault tolerant MPC for networked IT-2 T-S fuzzy systems. Int J Fuzzy Syst 45:1–24. https://doi.org/10.1007/s40815-023-01632-9

    Article  Google Scholar 

  10. Sayadian N, Jahangiri F, Abedi M (2024) Adaptive event-triggered fuzzy MPC for unknown networked IT-2 TS fuzzy systems. Int J Dyn Control. https://doi.org/10.1007/s40435-023-01360-w

    Article  Google Scholar 

  11. Qin J, Saeedifard M (2012) Predictive control of a modular multilevel converter for a back-to-back HVDC system. IEEE Trans Power Deliv 27(3):1538–1547

    Article  Google Scholar 

  12. Vatani M, Bahrani B, Saeedifard M et al (2014) Indirect finite control set model predictive control of modular multilevel converters. IEEE Trans Smart Grid 6(3):1520–1529

    Article  Google Scholar 

  13. Nie X, Peng K, Qiu Q et al (2018) Research on optimal model predictive control of MMC. Power Electron 52(4):14–16

    Google Scholar 

  14. Khosravi M, Arab Khaburi D, Yousefzadeh M et al (2022) Improved double-mode model predictive control scheme with reduced output dv/dt for modular multilevel converters. Electr Eng 104(6):4151–4167

    Article  Google Scholar 

  15. Zhang F, Li W, Joós G (2016) A voltage-level-based model predictive control of modular multilevel converter. IEEE Trans Industr Electron 63(8):5301–5312

    Google Scholar 

  16. Lin H, Wang Z (2017) A backward prediction based model predictive control strategy for modular multilevel converters. Proc CSEE 37(17):5098–5106

    Google Scholar 

  17. Dragičević T, Novak M (2018) Weighting factor design in model predictive control of power electronic converters: an artificial neural network approach. IEEE Trans Industr Electron 66(11):8870–8880

    Article  Google Scholar 

  18. Hu L, Lei W, Li R et al (2022) A graphic weighting factor design method for finite control set model predictive control of power converters. IEEE J Emerg Sel Top Power Electron 11(2):1661–1671

    Article  Google Scholar 

Download references

Acknowledgements

Here, I would like to express my special thanks to the teacher who helped me to guide the paper and the classmate who assisted me to do the experiment. And then there are my friends who have always been there for me.

Funding

This paper is funded by Natural Science Foundation of Hunan Province (2021JJ30674).

Author information

Authors and Affiliations

Authors

Contributions

All authors have made contributions to this work.

Corresponding author

Correspondence to Yukai Sun.

Ethics declarations

Conflict of interest

The author declares that she has no known competing interests or personal relationships that could have appeared to influence the work reported in this paper.

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

Pan, H., Sun, Y., Chen, D. et al. Improved backward model predictive control for modular multilevel active power filter. Int. J. Dynam. Control (2024). https://doi.org/10.1007/s40435-024-01424-5

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/s40435-024-01424-5

Keywords

Navigation