Abstract
Multi-objective optimal controller design of a doubly fed induction generator (DFIG) wind turbine system using Differential Evolution (DE) is presented in this chapter. A detailed mathematical model of DFIG wind turbine with a close loop vector control system is developed. Based on this, objective functions, addressing the steady state stability and dynamic performance at different operating conditions are implemented to optimize the controller parameters of both the rotor and grid side converters. A superior ε-constraint method and method of adaptive penalties are applied to handle the multi-objective problem and the constraint with DE. Eigenvalue analysis and simulation are performed on the single machine infinite bus (SMIB) system to demonstrate the control performance of the system with the optimized controller parameters.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
Abdel-Magid, Y.L., Abido, M.A.: Optimal multiobjective design of robust power system stabilizers using genetic algorithms. IEEE Transactions on Power Systems 18(3), 1125–1132 (2003)
Akhmatov, V.: Induction Generators for Wind Power. Multi-science Publishing Co. Ltd., Brentwood (2005)
Bean, J.C., Hadj-Alouane, A.B.: A dual genetic algorithm for bounded integer programs. Technical Report TR 92-53. Ann Arbor, MI: University of Michigan, Department of Industrial and Operations Engineering (1993)
Deb, K.: Multi-objective optimization using evolutionary algorithms, 1st edn. John Wiley & Sons, New York (2001)
Eriksen, P.B., Ackermann, T., Abildgaard, H., Smith, P., Winter, W., Rodriguez Garcia, J.M.: System operation with high wind penetration. IEEE Power and Energy Magazine 3(6), 65–74 (2005)
Hansen, A.D., Sørensen, P., Iov, F., Blaabjerg, F.: Control of variable speed wind turbines with doubly-fed induction generators. Wind Engineering 28(4), 411–434 (2004)
Hansen, A.D.: Generators and power electronics for wind turbines. In: Ackermann, T. (ed.) Wind Power in Power systems. John Wiley&Sons, Ltd., New York (2005)
Kundur, P.: Power System Stability and Control. McGrawHill, New York (1994)
Lampinen, J., Zelinka, I.: Mechanical engineering design optimization by differential evolution. In: Corne, D., Dorigo, M., Glover, F., et al. (eds.) New ideas in optimization. McGraw-Hill Ltd., UK (1999)
Ledesma, P., Usaola, J.: Doubly fed induction generator model for transient stability analysis. IEEE Transactions on Energy Conversion 20(2), 388–397 (2005)
Mei, F., Pal, B.C.: Modal analysis of grid-connected doubly fed induction generators. IEEE Transactions on Energy Conversion 22(3), 728–736 (2007)
Mei, F., Pal, B.C.: Modelling of Doubly-fed induction generator for power system stability study. In: Power and Energy Society General Meeting, pp. 1–8 (2008)
Mezura-Montes, E., Velazquez-Reyes, J., Coello, C.A.C.: Comparing differential evolution models for global optimization. In: Genetic and Evolutionary Computation Conference, GECCO 2006 (2006)
Michalewicz, Z., Schoenauer, M.: Evolutionary algorithms for constrained parameter optimization problems. Evolutionary Computation 4(1), 1–32 (1996)
Mishra, Y., Mishra, S., Tripathy, M., Senroy, N., Dong, Z.Y.: Improving stability of a DFIG based wind power system with tuned damping controller. IEEE Transactions on Energy Conversion 24(3), 650–660 (2009)
Muller, S., Deicke, M., De Doncker, R.W.: Doubly fed induction generator system for wind turbines. IEEE Industry Applications Magazine 8(3), 26–33 (2002)
Pena, R., Clare, J.C., Asher, G.M.: Doubly fed induction generator using back-to-back PWM converters and its application to variable speed wind-energy generation. IEE Proceedings on Electric Power Applications 143(3), 231–241 (1996)
Price, K.V.: Differential evolution: a fast and simple numerical optimizer. In: Annual Conference of the North American Fuzzy Information Processing Society - NAFIPS, Berkeley, CA, USA, pp. 524–527 (1996)
Price, K., Storn, R.: Differential evolution. Dr. Dobb’s Journal 22(4), 18–20 (1997)
Price, K.V., Storn, R.M., Lampinen, J.A.: Differential evolution: a practical approach to global optimization. Springer, Berlin (2005)
Qiao, W., Venayagamoorthy, G.K., Harley, R.G.: Design of optimal PI controllers for doubly fed induction generators driven by wind turbines using particle swarm optimization. In: Proceeding of International Joint Conference on Neural Network, Canada, pp. 1982–1987 (2006)
Storn, R., Price, K.: Differential evolution- a simple and efficient adaptive scheme for global optimization over continuous spaces. Berkeley, CA, ICSI Technical Report TR-95-012 (1995)
Storn, R., Price, K.: Minimizing the real functions of the ICEC 1996 contest by differential evolution. In: Proceedings of IEEE International Conference on Evolutionary Computation, pp. 842–844 (1996)
Vieira, J.P.A., Nunes, M.V.A., Bezerra, U.H., do Nascimento, A.C.: Designing optimal controllers for doubly fed induction generators using genetic algorithm. IET Generation, Transmission & Distribution 3(5), 472–484 (2009)
Wong, K.P., Dong, Z.Y.: Differential Evolution, an Alternative Approach to Evolutionary Algorithm. In: Lee, K.Y., El-Sharkawi, M.A. (eds.) Modern Heuristic Optimization Techniques: Theory and Applications to Power Systems. Wiley, New York (2008) (invited)
Wu, F., Zhang, X.P., Godfrey, K., Ju, P.: Small signal stability analysis and optimal control of a wind turbine with doubly fed induction generator. IET Generation, Transmission & Distribution 1(5), 751–760 (2007)
Yamamoto, M., Motoyoshi, O.: Active and reactive power control for doubly-fed wound rotor induction generator. IEEE Transactions on Power Electronics 6(4), 624–629 (1991)
Yang, G.Y., Dong, Z.Y., Wong, K.P.: A modified differential evolution algorithm with fitness sharing for power system planning. IEEE Transactions on Power System 23(2), 514–522 (2008)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2010 Springer Berlin Heidelberg
About this chapter
Cite this chapter
Yang, L., Yang, G.Y., Xu, Z., Dong, Z.Y., Xue, Y. (2010). Optimal Controller Design of a Wind Turbine with Doubly Fed Induction Generator for Small Signal Stability Enhancement. In: Wang, L., Singh, C., Kusiak, A. (eds) Wind Power Systems. Green Energy and Technology, vol 0. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-13250-6_7
Download citation
DOI: https://doi.org/10.1007/978-3-642-13250-6_7
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-13249-0
Online ISBN: 978-3-642-13250-6
eBook Packages: EngineeringEngineering (R0)