Predictive Control of a Three-Phase Regenerative PWM Converter

  • Dae Keun Yoo
  • Liuping Wang
  • Peter Gawthrop


One of the key components in a renewable energy system such as wind energy generator is a three-phase regenerative PWM converter. This component is nonlinear and time-varying by nature. However, with the classical synchronous frame transformation, the nonlinear model is linearized to obtain a continuous-time state-space model. Based on the linearized model, in this paper, a continuous-time model predictive control system (Laguerre function based) for a three-phase regenerative PWM converter is designed and implemented on a laboratory scaled test-bed that was built by the authors. In particular, a prescribed degree of stability is applied to provide a simple tuning parameter to the closed-loop performance.


Model Predictive Control Predictive Controller Model Predictive Controller General Cost Function Unity Power Factor 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


  1. 1.
    Anderson, B.D.O., Moore, J.M.: Linear Optimal Control. Prentice-Hall, Hemel Hempstead (1971) MATHGoogle Scholar
  2. 2.
    Blasko, V., Kaura, V.: A new mathematical model and control of a three-phase ac-dc voltage source converter. IEEE Trans. Power Electron. 12(1) (1997) Google Scholar
  3. 3.
    Clarke, D.W., Mohtadi, C., Tuffs, P.S.: Generalized predictive control. Part 1: The basic algorithm. Part 2: Extensions and interpretations. Automatica 23, 137–160 (1987) MATHCrossRefGoogle Scholar
  4. 4.
    Cutler, C.R., Ramaker, B.L.: Dynamic matrix control-a computer control algorithm. Presented at the Meeting of the American Institute of Chemical Engineers, Houston, Texas (1979) Google Scholar
  5. 5.
    Kazmierkowski, M.P., Malesani, L.: Current control techniques for three-phase voltage-source pwm converters: survey. IEEE Trans. Indust. Electron. 45(5) (1998) Google Scholar
  6. 6.
    Komurcugil, H., Kukrer, O.: Lyapunov-based control for three-phase pwm ac/dc voltage-source converters. IEEE Trans. Power Electron. 13(5) (1998) Google Scholar
  7. 7.
    Kouro, S.: Model predictive control-a simple and powerful method to control power converters. IEEE Trans. Indust. Electron. 56(6) (2009) Google Scholar
  8. 8.
    Liserre, M., Aquilla, A., Blaabjerg, F.: An overview of three-phase voltage source active rectifiers interfacing the utility. In: IEEE Bologna Power Tech. Conference (2003) Google Scholar
  9. 9.
    Maciejowski, J.: Predictive Control with Constraints. Prentice Hall, New York (2000) Google Scholar
  10. 10.
    Kennel, R., Quevedo, D., Cortes, P., Kazmierkowski, M.P., Rodriguez, J.: Predictive control in power electronics and drives. IEEE Trans. Indust. Electron. 55(12) (2008) Google Scholar
  11. 11.
    Dewan, S.B., Wu, R., Slemon, G.: Analysis of an ac-to-dc voltage source converter using PWM with phase and amplitude control. IEEE Trans. Indust. Appl. 27(2) (1991) Google Scholar
  12. 12.
    Wang, L.: Model Predictive Control System Design and Implementation Using MATLAB. Springer, Berlin (2009) MATHGoogle Scholar

Copyright information

© Springer-Verlag London Limited 2012

Authors and Affiliations

  1. 1.RMIT UniversityVictoriaAustralia
  2. 2.School of EngineeringUniversity of GlasgowGlasgowUK

Personalised recommendations