Optimal Controller Design of a Wind Turbine with Doubly Fed Induction Generator for Small Signal Stability Enhancement

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 e-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.

[1]  Xiao-Ping Zhang,et al.  Small signal stability analysis and optimal control of a wind turbine with doubly fed induction generator , 2007 .

[2]  K. V. Price,et al.  Differential evolution: a fast and simple numerical optimizer , 1996, Proceedings of North American Fuzzy Information Processing.

[3]  S. Mishra,et al.  Improving Stability of a DFIG-Based Wind Power System With Tuned Damping Controller , 2009, IEEE Transactions on Energy Conversion.

[4]  P. Kundur,et al.  Power system stability and control , 1994 .

[5]  Rainer Storn,et al.  Minimizing the real functions of the ICEC'96 contest by differential evolution , 1996, Proceedings of IEEE International Conference on Evolutionary Computation.

[6]  Vladislav Akhmatov,et al.  Induction Generators for Wind Power , 2007 .

[7]  M. A. Abido,et al.  Optimal multiobjective design of robust power system stabilizers using genetic algorithms , 2003 .

[8]  Rainer Storn,et al.  Differential Evolution – A Simple and Efficient Heuristic for global Optimization over Continuous Spaces , 1997, J. Glob. Optim..

[9]  Riccardo Poli,et al.  New ideas in optimization , 1999 .

[10]  Zbigniew Michalewicz,et al.  Evolutionary Algorithms for Constrained Parameter Optimization Problems , 1996, Evolutionary Computation.

[11]  Kit Po Wong,et al.  Differential Evolution, an Alternative Approach to Evolutionary Algorithm , 2005 .

[12]  Ubiratan Holanda Bezerra,et al.  Designing optimal controllers for doubly fed induction generators using a genetic algorithm , 2009 .

[13]  Z. Dong,et al.  A Modified Differential Evolution Algorithm With Fitness Sharing for Power System Planning , 2008, IEEE Transactions on Power Systems.

[14]  P. B. Eriksen,et al.  System operation with high wind penetration , 2005, IEEE Power and Energy Magazine.

[15]  P. Ledesma,et al.  Doubly fed induction generator model for transient stability analysis , 2005, IEEE Transactions on Energy Conversion.

[16]  Jon Clare,et al.  Doubly fed induction generator using back-to-back PWM converters and its application to variable-speed wind-energy generation , 1996 .

[17]  Carlos A. Coello Coello,et al.  A comparative study of differential evolution variants for global optimization , 2006, GECCO.

[18]  Mohamed A. El-Sharkawi,et al.  Modern heuristic optimization techniques :: theory and applications to power systems , 2008 .

[19]  Frede Blaabjerg,et al.  Control of Variable Speed Wind Turbines with Doubly-Fed Induction Generators , 2004 .

[20]  R. W. De Doncker,et al.  Doubly fed induction generator systems for wind turbines , 2002 .

[21]  M. Yamamoto,et al.  Active and reactive power control of doubly-fed wound rotor induction generator , 1990, 21st Annual IEEE Conference on Power Electronics Specialists.

[22]  R. Storn,et al.  Differential Evolution - A simple and efficient adaptive scheme for global optimization over continuous spaces , 2004 .

[23]  Anca Daniela Hansen Generators and Power Electronics for Wind Turbines , 2005 .

[24]  R. Storn,et al.  Differential Evolution: A Practical Approach to Global Optimization (Natural Computing Series) , 2005 .

[25]  Kalyanmoy Deb,et al.  Multi-objective optimization using evolutionary algorithms , 2001, Wiley-Interscience series in systems and optimization.

[26]  Thomas Ackermann,et al.  Wind Power in Power Systems , 2005 .

[27]  Bikash C. Pal,et al.  Modal Analysis of Grid-Connected Doubly Fed Induction Generators , 2007 .

[28]  Ivan Zelinka,et al.  Mechanical engineering design optimization by differential evolution , 1999 .

[29]  B.C. Pal,et al.  Modelling of doubly-fed induction generator for power system stability study , 2008, 2008 IEEE Power and Energy Society General Meeting - Conversion and Delivery of Electrical Energy in the 21st Century.