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Analytical Determination of Operating Conditions and Control Laws of a Doubly Fed Induction Generator

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This paper explores steady-state characteristics of a grid-connected Doubly Fed Induction Generator (DFIG) in case of unity power factor operation. Based on the synchronized mathematical model, analytic determination of the electrical and mechanical variables is presented and illustrated by various figures in order to understand the effect of the applied rotor voltage on the machine’s behavior. Moreover, unlike previous works where the stator resistance was neglected, in this paper stator resistance is included such that the equations can be applied to small wind turbine generators, which are becoming more popular. Finally, analytical expressions are used to drive the converter control laws in terms of rotor voltage. Experimental results in open loop control are given to demonstrate the effectiveness of the theoretical analysis. The proposed method confers a remarkable simplicity of implementation compared to the previous methods.
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Doubly Fed Induction Generator (DFIG); Energy Conversion; Equivalent Circuit; Steady State Analysis; Wind Power

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F. Poitiers, T. Bouaouiche, M. Machmoum, “Advanced control of a doubly-fed induction generator for wind energy conversion,’’ Electric Power Systems Research, Vol. 79, pp.1085–1096, 2009.

Balduino Cezar Rabelo, Wilfried Hofmann, João Lucas da Silva, Rodrigo Gaiba de Oliveira and Selênio Rocha Silva,’’ Reactive Power Control Design in Doubly Fed Induction Generators for Wind Turbines,’’ IEEE Trans. Ind. Electron., Vol. 56, No. 10, pp. 4154-4162, Oct 2009. DOI:10.1109/TIE.2009.2028355

Z.Wang, Y. Sun, G. Li, B.T. Ooi: “Magnitude and frequency control of grid connected doubly fed induction generator based on synchronised model for wind power generation,” IET Renew. Power Gener., Vol. 4, PP. 232-241, Iss. 3, Jan 2010.

R. Pena, J.C. Clare, G.M. Asher, “Doubly fed induction generator using back to back PWM converters and its application to variable-speed wind-energy generation,” IEE Proc-Power Appl., Vol. 143, No. 3, pp. 231-241, May 1996.

José Fernando Medina Padrón and Andrés Elías Feijóo Lorenzo, “ Calculating Steady-State Operating Conditions for Doubly-Fed Induction Generator Wind Turbines,” IEEE Trans. Power Syst., Vol. 25, No. 2, pp. 922-928, May 2010.

D. Aguglia1, P. Viarouge, R. Wamkeue, J. Cros, “Analytical determination of steady state converter control laws for wind turbines equipped with doubly fed induction generators,’’ IET Renew. Power Gener., Vol. 2, No. 1, pp. 16–25, 2008.

Md. Rabiul Islam, Youguang Guo, Jian Guo Zhu,“ Steady state characteristic simulation of DFIG for Wind Power System” in Proc. 2010 6th International Conference on Electrical and Computer Engineering ICECE 2010, pp. 151-153.

Shuhui Li, Sitanshu Sinha, “A simulation analysis of double-fed induction generator for wind energy conversion using PSpice, ” in Proc. 2006 IEEE Power Engineering Society General Meeting Conf., pp. 315-320.

M.S. Vicatos, J.A. Teqopoulos, “Steady state analysis of a doubly-fed induction generator under synchronous operation,” IEEE Transactions on Energy Conversion, Vol. 4, No. 3, pp. 495-501, 1989.

D. Santos-Martin, S.Arnaltes, J.L. Rodriguez-Amenedo, “Reactive power capability of doubly fed asynchronous generator,” Electric Power Systems Research, vol. 78, pp. 1837-1840, 2008.

Chien-Hung Liu and Yuan-Yih Hsu, “Effect of Rotor Excitation Voltage on Steady-State Stability and Maximum Output Power of a Doubly Fed Induction Generator,” IEEE Trans. Ind. Electron., Vol. 58, No. 4, pp. 1096-1109, Apr 2011.

H. Banakar, C. Luo and B.T. Ooi, “Steady-state stability analysis of doubly-fed induction generators under decoupled P–Q control,” IEE Proc.-Electr. Power Appl., Vol. 153, No. 2, pp. 300-306, March 2006.

P.C. Krause, O. Wasynczuk, S.D. Sudhoff, “Analysis of electric machinery and drive systems,” Wiley-IEEE press, 2nd ed., 2002.

L. Jiao, Boon-Teck Ooi, G. Joos, F. Zhou, “Doubly-feed induction generator (DFIG) as a hybrid of asynchronous machines,” Electric Power Systems Research, vol. 76, pp. 33-37, 2005.

Y. Han, M.M. Khan, G. Yao, L.D. Zhou, C. Chen, “A novel synchronization scheme for grid connected converters by using adaptive linear optimal filter based PLL (ALOF-PLL),’’ Simulation modeling practice and theory, vol. 17, pp. 1299-1345, 2009.

Kerrouche, K.D., Mezouar, A., Boumediene, L., Belgacem, K., Modeling and optimum power control based DFIG wind energy conversion system, (2014) International Review of Electrical Engineering (IREE), 9 (1), pp. 174-185.

Abulizi, M., Peng, L., Francois, B., Li, Y., Performance analysis of a controller for doubly-fed induction generators based wind turbines against parameter variations, (2014) International Review of Electrical Engineering (IREE), 9 (2), pp. 262-269.

Benbouzid, M., Beltran, B., Amirat, Y., Breton, S., Sensorless control of doubly-fed induction generator-based wind turbines using a high-order sliding mode observer, (2014) International Review of Electrical Engineering (IREE), 9 (1), pp. 49-55.

Vijayalaxmi, M., Shanmuga Vadivoo, N., Application of classical controllers in the doubly fed induction generator based wind energy conversion system using system identification approach, (2014) International Review of Electrical Engineering (IREE), 9 (2), pp. 431-439.

Hamdi, N., Bouzid, A., New control of a doubly-fed induction generator of a variable speed wind turbine with Ku transformation, (2013) International Review of Automatic Control (IREACO), 6 (2), pp. 183-188.


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