Skip to main content

An Adaptive Dual-Loop Lyapunov-Based Control Scheme for a Single-Phase Stand-Alone Inverter to Improve Its Large-Signal Stability

  • Chapter
  • First Online:
Stability Enhancement Methods of Inverters Based on Lyapunov Function, Predictive Control, and Reinforcement Learning
  • 179 Accesses

Abstract

Single-phase inverter with LC output filter has been widely utilized in uninterruptible power supply (UPS) systems.

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

Access this chapter

eBook
USD 16.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 139.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 139.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Abbreviations

E :

Dc-link voltage

f s :

Switching frequency

ω :

Fundamental angular frequency

L :

Nominal filter inductance

C :

Nominal filter capacitance

v ref :

Load voltage reference

P :

Output active power

i Lref :

Inductor current reference

i L :

Inductor current

i o :

Load current

e 1 :

Load voltage tracking error

e 2 :

Inductor current tracking error

\(\tilde{\varepsilon }\) :

Virtual load estimating error

Z :

Load impedance (complex)

V :

Lyapunov function

µ :

Switching function

References

  1. M. Pichan, H. Rastegar, and M. Monfared, “Deadbeat Control of the Stand-Alone Four-Leg Inverter Considering the Effect of the Neutral Line Inductor,” IEEE Trans. Ind. Electron., vol. 64, no. 4, pp. 2592–2601, 2017.

    Article  Google Scholar 

  2. A. Marcos-Pastor, E. Vidal-Idiarte, A. Cid-Pastor, and L. Martinez-Salamero, “Interleaved Digital Power Factor Correction Based on the Sliding-Mode Approach,” IEEE Trans. Power Electron., vol. 31, no. 6, pp. 4641–4653, 2016.

    Article  Google Scholar 

  3. G. Escobar, A. A. Valdez, J. Leyva-Ramos, and P. Mattavelli, “Repetitive-based controller for a UPS inverter to compensate unbalance and harmonic distortion,” IEEE Trans. Ind. Electron., vol. 54, no. 1, pp. 504–510, 2007.

    Article  Google Scholar 

  4. P. Cortés, G. Ortiz, J. I. Yuz, J. Rodríguez, S. Vazquez, and L. G. Franquelo, “Model predictive control of an inverter with output LC filter for UPS applications,” IEEE Trans. Ind. Electron., vol. 56, no. 6, pp. 1875–1883, 2009.

    Article  Google Scholar 

  5. Y. G. Gao, F. Y. Jiang, J. C. Song, L. J. Zheng, F. Y. Tian, and P. L. Geng, “A novel dual closed-loop control scheme based on repetitive control for grid-connected inverters with an LCL filter,” ISA Trans., vol. 74, pp. 194–208, 2018.

    Article  Google Scholar 

  6. M. A. Chowdhury, “Dual-loop H ∞ controller design for a grid-connected single-phase photovoltaic system,” Sol. Energy, vol. 139, pp. 640–649, 2016.

    Article  Google Scholar 

  7. I. Sefa, S. Ozdemir, H. Komurcugil, and N. Altin, “An Enhanced Lyapunov-Function Based Control Scheme for Three-Phase Grid-Tied VSI with LCL Filter,” IEEE Trans. Sustain. Energy, vol. 3029, no. 2, pp. 504–513, 2018.

    Article  Google Scholar 

  8. I. Sefa, S. Ozdemir, H. Komurcugil, and N. Altin, “Comparative study on Lyapunov-function-based control schemes for single-phase grid-connected voltage-source inverter with LCL filter,” IET Renew. Power Gener., vol. 11, no. 11, pp. 1473–1482, 2017.

    Article  Google Scholar 

  9. H. Komurcugil, N. Altin, S. Ozdemir, and I. Sefa, “An Extended Lyapunov-function-based Control Strategy for Single-phase UPS Inverters,” IEEE Trans. Power Electron., vol. 30, no. 7, pp. 3976–3983, 2015.

    Article  Google Scholar 

  10. H. Komurcugil, S. Member, N. Altin, and S. Ozdemir, “Lyapunov-Function and Proportional-Resonant-Based Control Strategy for Single-Phase Grid-Connected VSI With LCL Filter,” IEEE Trans. Ind. Electron., vol. 63, no. 5, pp. 2838–2849, 2016.

    Article  Google Scholar 

  11. S. Bayhan, S. S. Seyedalipour, H. Komurcugil, and H. Abu-Rub, “Lyapunov Energy Function Based Control Method for Three-Phase UPS Inverters With Output Voltage Feedback Loops,” IEEE Access, vol. 7, pp. 113699–113711, 2019.

    Article  Google Scholar 

  12. E. Kim, F. Mwasilu, H. H. Choi, and J. Jung, “An Observer-Based Optimal Voltage Control Scheme for Three-Phase UPS Systems,” IEEE Trans. Ind. Electron., vol. 62, no. 4, pp. 2073–2081, 2015.

    Article  Google Scholar 

  13. D. S. Ochs, B. Mirafzal, and P. Sotoodeh, “A method of seamless transitions between grid-tied and stand-alone modes of operation for utility-interactive three-phase inverters,” IEEE Trans. Ind. Appl., vol. 50, no. 3, pp. 1934–1941, 2014.

    Article  Google Scholar 

  14. “Beijing 2022 Olympics to be powered by 100% renewable energy.” [Online]. Available: https://www.powerengineeringint.com/renewables/beijing-2022-olympics-to-be-powered-by-100-renewable-energy/. [Accessed: 15-Nov-2021].

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Xin Zhang .

Rights and permissions

Reprints and permissions

Copyright information

© 2023 The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.

About this chapter

Check for updates. Verify currency and authenticity via CrossMark

Cite this chapter

Zhang, X., He, J., Ma, H., Ma, Z., Ge, X. (2023). An Adaptive Dual-Loop Lyapunov-Based Control Scheme for a Single-Phase Stand-Alone Inverter to Improve Its Large-Signal Stability. In: Stability Enhancement Methods of Inverters Based on Lyapunov Function, Predictive Control, and Reinforcement Learning. Springer, Singapore. https://doi.org/10.1007/978-981-19-7191-4_3

Download citation

  • DOI: https://doi.org/10.1007/978-981-19-7191-4_3

  • Published:

  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-19-7190-7

  • Online ISBN: 978-981-19-7191-4

  • eBook Packages: EnergyEnergy (R0)

Publish with us

Policies and ethics