Skip to main content

Advertisement

SpringerLink
Log in

An improved nonlinear robust control design for grid-side converter of VSC-HVDC connected to wind power generation system

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

Abstract

This article proposes an improved nonlinear (IN) robust control strategy for the grid-side voltage-source converter (GSVSC) of a VSC-based high-voltage direct current (VSC-HVDC) transmission system connected to a large wind farm by the using Hamiltonian function method. With the help of variable transformation, the nonlinear model with parameter uncertainties and external disturbances of the GSVSC is changed into the port-controlled dissipative Hamiltonian (PCDH) system. Based on the PCDH system, an IN robust control law is established. In order to demonstrate the effectiveness and robustness of the IN robust control, the backstepping power control (BPC), which is developed by using the backstepping design procedure in the sense of Lyapunov stability theorem for the GSVSC to satisfy the control objectives of a stable HVDC bus and the grid connection with a unity power factor, is selected as a comparison object. Generally speaking, the system used by the backstepping method must have special strict feedback of the lower triangular structure, but the wind farm connected to the power grid with the VSC-HVDC is a multivariable structure and highly coupled nonlinear system. So, the BPC cannot effectively maintain and utilize the nonlinear characteristics of the VSC-HVDC system, while this nonlinear physical structure characteristics is very useful for the design of a nonlinear controller. The greatest advantage of the Hamilton function method is that it can effectively keep and utilize the nonlinear characteristics of the system. The simulation results indicate that the proposed IN control designed by using the Hamilton function method gains the advantage over the BPC under a variety of operating conditions.

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
Fig. 14
Fig. 15
Fig. 16
Fig. 17

Similar content being viewed by others

References

  1. Purvins A, Zubaryeva A, Llorente M et al (2011) Challenges and options for a large wind power uptake by the European electricity system. Appl Energy 88(5):1461–1469

    Article  Google Scholar 

  2. Wang GD, Wai RJ, Liao Y (2013) Design of backstepping power control for grid-side converter of voltage source converter-based high-voltage DC wind power generation system. IET Renew Power Gen 7(2):118–133

    Article  Google Scholar 

  3. Guan L, Fan X, Liu Y et al (2015) Dual-mode control of AC/VSC-HVDC hybrid transmission systems with wind power integrated. IEEE Trans Power Del 30(4):1686–1693

    Article  Google Scholar 

  4. Fan X, Guan L, Xia C et al (2015) IDA-PB control design for VSC-HVDC transmission based on PCHD model. Int Trans Electr Energy 25(10):2133–2143

    Article  Google Scholar 

  5. Xu L, Yao L, Sasse C (2007) Grid integration of large DFIG-based wind farms using VSC transmission. IEEE Trans Power Syst 22(3):976–984

    Article  Google Scholar 

  6. Guo Y, Gao H, Wu Q et al (2018) Enhanced voltage control of VSC-HVDC-connected offshore wind farms based on model predictive control. IEEE Trans Sustain Energy 9(1):474–487

    Article  Google Scholar 

  7. Ramadan HS, Siguerdidjane H, Petit M et al (2012) Performance enhancement and robustness assessment of VSC-HVDC transmission systems controllers under uncertainties. Int J Electr Power 35(1):34–46

    Article  Google Scholar 

  8. Fuchs A, Imhof M, Demiray T et al (2014) Stabilization of large power systems using VSC-HVDC and model predictive control. IEEE Trans Power Deliv 29(1):480–488

    Article  Google Scholar 

  9. Mariethoz S, Fuchs A, Morari M (2014) A VSC-HVDC decentralized model predictive control scheme for fast power tracking. IEEE Trans Power Deliv 29(1):462–471

    Article  Google Scholar 

  10. Yang B, Sang YY, Shi K et al (2016) Design and real-time implementation of perturbation observer based sliding-mode control for VSC-HVDC systems. Control Eng Pract 56:13–26

    Article  Google Scholar 

  11. Shen Y, Yao W, Wen J et al (2018) Adaptive supplementary damping control of VSC-HVDC for interarea oscillation using GrHDP. IEEE Trans Power Syst 33(2):1777–1789

    Article  Google Scholar 

  12. Li H, Liu C, Li G et al (2017) An enhanced DC voltage droop-control for the VSC-HVDC grid. IEEE Trans Power Syst 32(2):1520–1527

    Article  Google Scholar 

  13. Huang J, Xu D, Yan W et al (2017) Nonlinear control of back-to-back VSC-HVDC system via command-filter backstepping. J Control Sci Eng 2017:1–10

    MATH  Google Scholar 

  14. Nanou SI, Papathanassiou SA (2017) Frequency control of island VSC-HVDC links operating in parallel with AC interconnectors and onsite generation. IEEE Trans Power Deliv 33(1):447–454

    Article  Google Scholar 

  15. Ayari M, Belhaouane MM, Jammazi C et al (2017) On the backstepping approach for VSC-HVDC and VSC-MTDC transmission systems. Electr Power Compon Syst 45(5):520–533

    Article  Google Scholar 

  16. Pinares G, Bongiorno M (2016) Modeling and analysis of VSC-based HVDC systems for DC network stability studies. IEEE Trans Power Deliv 31(2):848–856

    Article  Google Scholar 

  17. Song Y, Breitholtz C (2016) Nyquist stability analysis of an AC-grid connected VSC-HVDC system using a distributed parameter DC cable model. IEEE Trans Power Deliv 31(2):898–907

    Article  Google Scholar 

  18. Beerten J, D’Arco S, Suul JA (2016) Frequency-dependent cable modelling for small-signal stability analysis of VSC-HVDC systems. IET Gener Trans Distrib 10(6):1370–1381

    Article  Google Scholar 

  19. Zeni L, Eriksson R, Goumalatsos S et al (2016) Power oscillation damping from VSC-HVDC connected offshore wind power plants. IEEE Trans Power Deliv 31(2):829–838

    Article  Google Scholar 

  20. Campos-Gaona D, Peña-Alzola R, Ordonez M (2015) Nonminimum phase compensation in VSC-HVDC systems for fast direct voltage control. IEEE Trans Power Deliv 30(6):2535–2543

    Article  Google Scholar 

  21. Urquidez OA, Xie L (2016) Singular value sensitivity based optimal control of embedded VSC-HVDC for steady-state voltage stability enhancement. IEEE Trans Power Syst 31(1):216–225

    Article  Google Scholar 

  22. Dong S, Chi Y, Li Y (2016) Active voltage feedback control for hybrid multiterminal HVDC system adopting improved synchronverters. IEEE Trans Power Deliv 31(2):445–455

    Article  Google Scholar 

  23. Anbuselvi SV, Somasundaram P, Kumudini Devi RP (2016) Impact of current controller dynamics in small signal stability analysis of two terminal VSC-HVDC system employing grid voltage vector orientation control. Int Trans Electr Energy Syst 26(4):730–749

    Article  Google Scholar 

  24. Perveen R, Kishor N, Mohanty SR (2016) Fault detection and optimal coordination of overcurrent relay in offshore wind farm connected to onshore grid with VSC-HVDC. Int Trans Electr Energy Syst 26(4):841–863

    Article  Google Scholar 

  25. Mu C, Tang Y, He H (2017) Improved sliding mode design for load frequency control of power system integrated an adaptive learning strategy. IEEE Trans Ind Electron 64(8):6742–6751

    Article  Google Scholar 

  26. Nanou SI, Papathanassiou SA (2018) Frequency control of island VSC-HVDC links operating in parallel with AC interconnectors and onsite generation. IEEE Trans Power Deliv 33(1):447–454

    Article  Google Scholar 

  27. Lei B, Fei S (2014) A brand new nonlinear robust control design of SSSC for transient stability and damping improvement of multi-machine power systems via pseudo-generalized Hamiltonian theory. Control Eng Pract 29:147–157

    Article  Google Scholar 

  28. Xu S, Hou X (2012) A family of \(H_\infty \) controllers for dissipative Hamiltonian systems. Int J Robust Nonlinear Control 22(11):1258–1269

    Article  MathSciNet  Google Scholar 

  29. Lei B, Fei S (2017) IN \(H_\infty \) control for STATCOM to improve voltage stability of power system. Electron Lett 53(10):670–672

    Article  Google Scholar 

  30. Lv X, Lei B, Fei S (2017) Nonlinear robust control design for static synchronous compensator. In: IEEE 29th Chinese control and decision conference (CCDC). pp 632–637

  31. Lv X, Lei B, Fei S (2017) Nonlinear \(L_2\) disturbance attenuation control design of UPFC for power flow control. In: IEEE 29th Chinese control and decision conference (CCDC). pp 1611–1616

  32. Lei B, Wu X, Fei S (2017) Nonlinear robust control design for SSSC to improve damping oscillations and transient stability of power system. In: IEEE 36th Chinese control conference (CCC). pp 3101–3106

Download references

Acknowledgements

This work is supported by project of Science and Technology Department of Guizhou province natural fund (Nos. QiankeheJzi [2015]2070, Qiankehejichu [2016]1064), the Chinese National Natural Science Foundation under Grant No. 61563011, the Ph.D. research fund of Guizhou Normal University under Grant No. 11904-0514170, High level talent research Project of Guizhou Institute of Technology (No. XJGC20150405).

Author information

Authors and Affiliations

  1. Key Laboratory of Power Dig Data of Guizhou Province, School of Electrical and Information Engineering, Guizhou Institute of Technology, Guiyang, 550003, People’s Republic of China

    Bangjun Lei

  2. Colledge of Automation Electronic Engineering, Qingdao University of Science and Technology, Qingdao, 260061, Shandong, People’s Republic of China

    Tao Zhang

  3. Key Laboratory of Measurement and Control of Complex Systems of Engineering, Ministry of Education, School of Automation, Southeast University, Nanjing, 210096, People’s Republic of China

    Shumin Fei

Authors
  1. Bangjun Lei
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Tao Zhang
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Shumin Fei
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Bangjun Lei.

Additional information

Publisher's Note

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

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Lei, B., Zhang, T. & Fei, S. An improved nonlinear robust control design for grid-side converter of VSC-HVDC connected to wind power generation system. Electr Eng 100, 2309–2318 (2018). https://doi.org/10.1007/s00202-018-0705-9

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00202-018-0705-9

Keywords

Search

Navigation