SpringerLink
Log in

Fractional-order sliding mode control of single-phase five-level rectifier

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

Abstract

Five-level converters have a wide range of applications in the fields of locomotive traction, photovoltaic power generation and reactive power compensation. The problem of poor dynamic performance of a five-level rectifier with coupled inductor using traditional integer-order sliding mode control is investigated. Firstly, the mathematical model of the single-phase rectifier is established on the basis of the analysis of the mechanism of five-level generation. Secondly, a fractional-order sliding mode control (FOSMC) strategy with fast convergence is proposed to address the problems of slow response and large start-up overshoot of the traditional integer-order sliding mode control (IOSMC). The fractional-order calculus is introduced into the sliding mode control to improve the dynamic performance and convergence of the control system by increasing the degrees of freedom of the fractional-order calculus operator. Finally, the stability and convergence of the fractional-order sliding mode control system are demonstrated using Lyapunov theory, and the difference in convergence speed between the integer-order and fractional-order sliding mode systems is analyzed theoretically. Simulation and experimental results show that the proposed fractional-order sliding mode control has the advantages of faster convergence speed, shorter response time and stronger robustness compared with the traditional integer-order sliding mode control.

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

Access this article

Log in via an institution

Subscribe and save

Springer+ Basic
EUR 32.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or Ebook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

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
Fig. 14

Similar content being viewed by others

Data availability

The data sets generated during and analyzed during the current study are available from the corresponding author on reasonable request.

References

  1. Yunlei Z, Qun**g W, Cungang H (2020) A new hybrid seven-level inverter. Electr Mach Control. 24(10):48–58

    Google Scholar 

  2. Karwatzki D, Mertens A (2018) Generalized control approach for a class of modular multilevel converter topologies. IEEE Trans Power Electr 33(4):2888–2900

    Article  ADS  Google Scholar 

  3. Fang J, Blaabjerg F, Liu S et al (2021) A review of multilevel converters with parallel connectivity. IEEE Trans Power Electron 36(11):12468–12489

    Article  ADS  Google Scholar 

  4. Shaotong DU, Jie LIU, Juan ZHOU et al (2022) A 6kV stationary reactive power generator based on NPC and H-bridge hybrid cascade. Power Syst Technol 46(12):5012–5020

    Google Scholar 

  5. Qingfeng L, Chaoxia L (2019) Decoupling control of dual-frequency induction heating power supply of diode-clamped inverter. Proc CSEE. 39(06):1783–1791

    Google Scholar 

  6. Chaoying XIA, Siyu WANG, Jiali YU (2021) Feedback control strategy and stability analysis of flying capacitive MMC state error. Proc CSEE 41(16):5693–5705

    Google Scholar 

  7. Yalei YUAN, **angkun ZHAO, Gaoxiang XU et al (2022) Cascaded H-bridge STATCOM phase-to-phase voltage balance control strategy taking into account voltage fluctuation suppression. Power Syst Technol 46(04):1494–1502

    Google Scholar 

  8. Zhong CHEN, Jianbo SUN, Yaming XU et al (2020) Power balance method of cascaded H-bridge inverter using output periodic pulse cycle. J Electrotech Soc 35(04):827–838

    Google Scholar 

  9. Yifeng Z, Hailong Z, Guopeng Z et al (2022) Sliding mode model predictive control of single-phase five-level rectifier. Trans China Electrotech Soc 37(08):2030–2039

    Google Scholar 

  10. Zhu Y, Li Y, Zhang G et al (2023) Sliding mode PIR control for a four-IGBT five-level rectifier. Electr Eng 105:129–139

    Article  Google Scholar 

  11. Junejo AK, Xu W, Mu C et al (2020) Adaptive speed control of PMSM drive system based a new sliding-mode reaching law. IEEE Trans Power Electr 35(11):12110–12121

    Article  ADS  Google Scholar 

  12. Shi S, Gu J, Xu S et al (2022) Globally fixed-time high-order sliding mode control for new sliding mode systems subject to mismatched terms and its application. IEEE Trans Industr Electr 67(12):10776–10786

    Article  Google Scholar 

  13. Bingbing S, Shuqiang Z, Benfeng G, Junling S, Yi L, Youchuan Y (2021) Subsynchronous oscillation suppression strategy of direct-drive wind farm based on feedback linearized sliding mode control. Proc CSEE. 41(09):3090–3106

    Google Scholar 

  14. Sun G, Ma Z, Yu J (2018) Discrete-time fractional order terminal sliding mode tracking control for linear motor. IEEE Trans Industr Electron 65(4):3386–3394

    Article  Google Scholar 

  15. Changming Z, Jiasheng Z, Rui X et al (2019) Robust discrete integral sliding mode control of buck converter. Trans China Electrotech Soc 34(20):4306–4313

    Google Scholar 

  16. Haghighi A, Ziaratban R (2020) A non-integer sliding mode controller to stabilize fractional-order nonlinear systems. Adv Differ Equ 2020:503

    Article  MathSciNet  Google Scholar 

  17. Eray O, Tokat S (2020) The design of a fractional-order sliding mode controller with a time-varying sliding surface. Trans Inst Meas Control 42(16):3196–3215

    Article  Google Scholar 

  18. Mirrezapour SZ, Zare A, Hallaji M (2022) A new fractional sliding mode controller based on nonlinear fractional-order proportional integral derivative controller structure to synchronize fractional-order chaotic systems with uncertainty and disturbances. J Vib Control 28(7–8):773–785

    Article  MathSciNet  Google Scholar 

  19. Huang S, Wang J (2022) Fixed-time fractional-order sliding mode control for nonlinear power systems. J Vib Control 26(17–18):1425–1434

    MathSciNet  Google Scholar 

  20. Penghan LI, Ziqiang ZI, Jie WANG (2020) Fractional sliding mode suppression strategy based on synchronous control interaction of doubly-fed wind farm. Proc CSEE 40(03):897–911

    Google Scholar 

  21. Ullah N (2020) Fractional order sliding mode control design for a buck converter feeding resistive power loads. Math Modellng Eng Problems 7(4):649–658

    Article  Google Scholar 

  22. Mohamadian S, Pairo H, Ghasemian A (2022) A straightforward quadrature signal generator for single-phase SOGI-PLL with low susceptibility to grid harmonics. IEEE Trans Industr Electron 69(7):6997–7007

    Article  Google Scholar 

Download references

Funding

The authors have not disclosed any funding.

Author information

Authors and Affiliations

  1. School of Electrical Engineering and Automation, Henan Polytechnic University, Jiaozuo, 454003, China

    Yifeng Zhu, **aolei Jia & Feisan Zhou

  2. Henan Key Laboratory of Intelligent Detection and Control of Coal Mine Equipment, Jiaozuo, 454003, China

    Yifeng Zhu, **aolei Jia & Feisan Zhou

Authors
  1. Yifeng Zhu
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. **aolei Jia
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Feisan Zhou
    View author publications

    You can also search for this author in PubMed Google Scholar

Contributions

Each author discussed the details of the manuscript. X.J designed and wrote the manuscript. X.J and F.Z implemented the proposed technique and provided the experimental results and collated the results of the experiment. Y.Z. and F.Z. reviewed and revised the article. All authors have read and agreed to the published version of the manuscript.

Corresponding author

Correspondence to **aolei Jia.

Ethics declarations

Conflict of interest

The authors declare that they have no conflict of interest.

Ethical approval

Not applicable.

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

Zhu, Y., Jia, X. & Zhou, F. Fractional-order sliding mode control of single-phase five-level rectifier. Electr Eng (2024). https://doi.org/10.1007/s00202-024-02284-0

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/s00202-024-02284-0

Keywords

Search

Navigation