Adaptive Control Techniques for Three-Phase Grid-Connected Photovoltaic Inverters

  • Wanshi Hong
  • Gang TaoEmail author
  • Hong Wang
Part of the Power Systems book series (POWSYS)


This chapter presents a framework of model reference adaptive control (MRAC) techniques for three-phase grid-connected photovoltaic (PV) inverter systems with uncertain parameters and disturbances. Such adaptive controllers are employed to achieve two main goals: (i) the asymptotic tracking for the output of a time-varying reference signal by the PV system with high-order dynamics and parameter uncertainties, which cannot be achieved by some conventional control techniques, and (ii) the asymptotic rejection of a practical class of unknown high-order harmonic signal disturbances, which is crucial for desired PV system operations. In this chapter, a full PV inverter system dynamic model is derived, and adaptive control design conditions are verified for such system models. An MRAC based disturbance rejection scheme is also developed for the PV inverter system with parameter and disturbance uncertainties. Desired system performances are ensured analytically and simulation results are listed to verify the result. This study shows the potential advantages of using adaptive control techniques for PV inverter systems, for ensuring desired PV system stability, output tracking, and disturbance rejection properties.


  1. 1.
    Munsell M (2017) US Solar Market Grows 95% in 2016, Smashes Records, Greentech Media, 15 February 2017Google Scholar
  2. 2.
    Fraas L, Partain L (2010) Solar Cells and Their Applications (Sect. 10.2), 2nd edn. Wiley, New JerseyCrossRefGoogle Scholar
  3. 3.
    Vasquez JC, Guerrero JM, Savaghebi M, Eloy-Garcia J, Teodorescu R (2013) Modeling, analysis, and design of stationary-reference-frame droop-controlled parallel three-phase voltage source inverters. IEEE Trans Ind Electron 60(4):1271–1280CrossRefGoogle Scholar
  4. 4.
    Teodorescu R, Blaabjerg F, Borup U, Liserre M (2004) A new control structure for grid-connected LCL PV inverters with zero steady-state error and selective harmonic compensation. In: Nineteenth annual IEEE applied power electronics conference and exposition, APEC’04, February 2004, pp 22–26Google Scholar
  5. 5.
    Rahim NA, Saidur R, Solangi KH, Othman M, Amin N (2012) Survey of grid-connected photovoltaic inverters and related systems. Clean Technol Environ Policy 14:521–533CrossRefGoogle Scholar
  6. 6.
    Bernstein DS (1997) A student’s guide to classical control. IEEE Control Syst Mag 17(4):96–100CrossRefGoogle Scholar
  7. 7.
    Nise NS (2011) Control systems engineering, 6th edn. Wiley, HobokenzbMATHGoogle Scholar
  8. 8.
    Lavretsky E, Wise KA (2013) Robust and adaptive control with aerospace application. Springer, LondonCrossRefGoogle Scholar
  9. 9.
    Chen C (1995) Linear system theory and design. Oxford University Press Inc., OxfordGoogle Scholar
  10. 10.
    Slotine JJE, Li W (1991) Applied nonlinear control. Prentice Hall Inc., Upper Saddle RiverzbMATHGoogle Scholar
  11. 11.
    Tao G (2003) Adaptive control design and analysis. Wiley, New YorkCrossRefGoogle Scholar
  12. 12.
    Wang H, Liu GP, Harris CJ, Brown M (1995) Advanced adaptive control. Elsevier Science (formerly Pergamon Press Ltd.), AmsterdamzbMATHGoogle Scholar
  13. 13.
    Pedro RS, Carlos RC, Enrique RC, Husev O, Makovenko E (2013) Control scheme of a three-phase three level NPC qz-source inverter with LCL filter for RES applications. J Electr Eng Technol 8(3):544–558CrossRefGoogle Scholar
  14. 14.
    Rigatos G, Siano P, Zervos N, Cecati C (2016) Control of three-phase voltage source converters with the derivative-free nonlinear kalman filter. Intell Ind Syst 2(1):21–33CrossRefGoogle Scholar
  15. 15.
    Vasquez JC, Guerrero JM, Luna A, Rodríguez P, Teodorescu R (2009) Adaptive droop control applied to voltage-source inverters operating in grid-connected and islanded modes. IEEE Trans Ind Electron 56(10):4088–4096CrossRefGoogle Scholar
  16. 16.
    Jung J, Vu N, Dang D, Do T, Choi Y, Choi H (2014) A three-phase inverter for a standalone distributed generation system: adaptive voltage control design and stability analysis. IEEE Trans Energy Convers 29(1):46–56CrossRefGoogle Scholar
  17. 17.
    Gonzalez-Espin F, Gargera G, Patrao I, Figueres E (2012) An adaptive control system for three-phase photovoltaic inverters working in a polluted and variable frequency electric grid. IEEE Trans Power Electron 27(10):4248–4261CrossRefGoogle Scholar
  18. 18.
    Hong W, Tao G (2018) An adaptive control scheme for three-phase grid-connected inverters in photovoltaic power generation system. In: Proceedings of the 2018 American control conference, Milwaukee, WI, 27–29 June 2018, pp 899–904Google Scholar
  19. 19.
    XC164 different PWM waveforms generation for 3-phase AC induction motor with XC164CS. Infineon Technologies AG 81726 Minchen, Germany, 2006Google Scholar
  20. 20.
    Wu Y, Lin J, Lin H (2017) Standards and guidelines for grid-connected photovoltaic generation systems: a review and comparison. IEEE Trans Ind Appl 53(4):3205–3216CrossRefGoogle Scholar
  21. 21.
    Chung S (2000) A phase tracking system for three phase utility interface inverters. IEEE Trans Ind Electron 15(3):431–438Google Scholar
  22. 22.
    Timbus A, Teodoresecu R, Blaabjerg F (2005) Synchronization methods for three phase distributed power generation systems. In: Proceedings of power electronics specialists conference, pp 2474–2481Google Scholar
  23. 23.
    Figueres E, Garcerá G, Sandia J (2009) Sensitivity study of the dynamics of three-phase photovoltaic incerters with an LCL grid filter. IEEE Trans Ind Electron 56(3):706–717CrossRefGoogle Scholar
  24. 24.
    Kamalakannan C, Suresh LP (2015) Design and analysis of three phase four wire. Power electronics and renewable energy systems. Springer, New York, p 1029Google Scholar
  25. 25.
    Park RH (1929) Two reaction theory of synchronous machines. AIEE Trans 48:716–730Google Scholar
  26. 26.
    Wen L, Tao G, Liu Y (2016) Multivariable adaptive output rejection of unmatched input disturbances. Int J Adapt Control Signal Process 30:1203–1227MathSciNetCrossRefGoogle Scholar
  27. 27.
    Wen L, Tao G, Liu Y (2015) Aircraft turbulence compensation using adaptive multivariable disturbance rejection techniques. J Guid Control Dyn 28(5):954–962CrossRefGoogle Scholar
  28. 28.
    Chen L, Amirahmadi A, Zhang Q, Kutkut N, Batarseh I (2014) Design and implementation of three-phase two-stage grid-connected module integrated converter. IEEE Trans Power Electron 28(9)Google Scholar

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© Springer Nature Singapore Pte Ltd. 2019

Authors and Affiliations

  1. 1.University of VirginiaCharlottesvilleUSA
  2. 2.Pacific Northwest National LaboratoryRichlandUSA

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