Modeling and Simulation for Bifurcations of SSR in Large Wind Farms

Majdi M. Alomari, Mohammad Sabati, Mohammad S. Widyan, Nafesah I. Alshdaifat

Abstract


Bifurcations of subsynchronous resonance (SSR) is applied to the induction generator (IG) based wind farms connected to series compensated lines. The developed first system of the IEEE second benchmark model of subsynchronous resonance is considered. The system studied can be mathematically modeled as a set of first order nonlinear ordinary differential equations with a compensation factor as a bifurcation parameter. Therefore, bifurcation theory can be applied to the nonlinear dynamical systems. The impress of both torsional interaction and induction generator effect are considered. Bifurcations of SSR are studied for a wide range of series compensation levels in the cases of various sizes of wind farms and various wind farm power outputs. The results show that Hopf bifurcations may occur in large wind farms based on double-cage IGs at high level of series compensation. When the size of wind farm increases, the Hopf bifurcation point initially shifts to the left at a less value of compensation then shifts to the right at a larger value of compensation with a supercritical Hopf bifurcation remains in all cases. This resulted in only quantitative changes in Hopf bifurcation for the case of variation in wind farm size. On the other hand, when the power output of a large wind farm increases the Hopf bifurcation point shifts a little to the left at a slightly less value of compensation. On the contrary, the type of Hopf bifurcation changes from subcritical to supercritical. Therefore, the impact of the variation in the wind farm size on bifurcation is only of a quantitative change, while the impact of variation in the power output is mainly a qualitative change.

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Keywords


Hopf Bifurcation; Subsynchronous Resonance; Wind Turbine; Induction Generator.

Full Text:

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References


R.K. Varma, S. Auddy, “Mitigation of Subsynchronous Oscillations in a Series Compensated Wind Farm with Static Var Compensator”, IEEE, 2006.

M. Alivirdizadeh, B. Tousi, H. Ghahramani, J. Khazaie, S. Rajebi, “A Novel Damping Controller for Inter-Area Oscillation by Means of DFIG-Based Wind Farm”, International Journal on Technical and Physical Problems of Engineering (IJTPE), Issue 8, Vol. 3, No. 3, pp. 118-124, September 2011.

American Wind Energy Association. [Online] http://www.awea.org/

Wind force 12, European Wind Energy Association. [Online] http://www.ewea.org/

P. Kundur, “Power System Stability and Control”, New York, McGraw-Hill, 1994.

L.A.S. Pilotto, A. Bianco, W.F. Long, A. Edris, “Impact of TCSC Control Methodologies Subsynchronous Oscillations”, IEEE Transactions on Power Delivery, Vol. 18, No. 1, pp. 243-252, January 2003.

D. Raii, S. Faried, G. Ramakrishna, A. Edris, “Hybrid series compensation scheme capable of damping subsynchronous resonance”. IET Generat. Transm. Distrib. 2010, 4, 456–466.

F.D. De Jesus, E.H. Watanabe, L.F.W. De Souza, J.E.R. Alves, Jr., “SSR and Power Oscillation Damping Using Gate-Controlled Series Capacitors (GCSC)”, IEEE Transactions on Power Delivery, Vol. 22, No. 3, pp. 1806-1812, July 2007.

A. H. Nayfeh, and B. Balachandran, , 1995, Applied Nonlinear Dynamics, Wiley, New York.

P. Pourbeik, R.J. Koessler, D.L. Dickmander and W. Wong, “Integration of Large Wind Farms into Utility Grids (Part 2 - Performance Issues)”, in Proc. 2003 IEEE PES GM, pp. 1520-1525.

A. Ostadi, A. Yazdani, and R. K. Varma, “Modeling and Stability Analysis of a DFIG-Based Wind-Power Generator Interfaced With a Series-Compensated Line,” IEEE Trans. on Power Delivery, vol. 24, no. 3, pp. 1504-1514, Jul. 2009.

L. Fan, R. Kvasseri, Z. Lee Miao and C. Zhu, “Modeling of DFIG-Based Wind Farms for SSR Analysis,” IEEE Trans. on Power Delivery, vol. 25, no. 4, pp. 2073-2082, Oct. 2010.

L. Fan, C. Zhu, Z. Miao, M. Hu, “Modal Analysis of a DFIG-Based Wind Farm Interfaced With a Series Compensated Network,” IEEE Trans. on Energy Conversion, vol. 26, no. 4, pp. 1010-1020, Dec. 2011.

G. D. Irwin, A. K. Jindal, and A. L. Isaacs, “Sub-synchronous control interactions between type 3 wind turbines and series compensated AC transmission systems,” in Proc. 2011 IEEE PES GM, pp. 1-6.

L. Fan, and Z. Miao, “Mitigating SSR Using DFIG-Based Wind Generation,” IEEE Trans. on Sustainable Energy, vol. 3, no. 3, pp. 349-358, Jul. 2012.

Y. Song, X. Wang, & F. Blaabjerg, “High Frequency Resonance Damping of DFIG based Wind Power System under Weak Network”, IEEE Transactions on Power Electronics, April 2016.

Zhao Bin, Li Hui, Wang Mingyu, Chen Yaojun, Liu Shengquan, Yang Dong, Yang Chao, Hu Yaogang, Chen Zhe, “An active power control strategy for a DFIG-based wind farm to depress the subsynchronous resonance of a power system”, International Journal of Electrical Power & Energy Systems, Vol. 69, pp. 327 – 334, July 2015.

B. Zhao, H. Li, M. Wang, Y. Chen, S. Liu, D. Yang, C. Yang, Y. Hu, Z. Chen, “An Optimal Reactive Power Control Strategy for a DFIG-Based Wind Farm to Damp the Sub-Synchronous Oscillation of a Power System”, Energies. 2014; 7 (5): 3086-3103.

A.A. Tanvir, A. Merabet, R. Beguenane, “Real-Time Control of Active and Reactive Power for Doubly Fed Induction Generator (DFIG)-Based Wind Energy Conversion System”. Energies. 2015; 8 (9): 10389-10408.

A.H. Nayfeh and B. Balachandran, Applied Nonlinear Dynamics, Wiley, New York, 1995.

IEEE Committee Report, “Second Benchmark Model for Computer Simulation of Subsynchronous Resonance,” IEEE Trans. on Power Apparatus and Systems, vol. PAS-104, no. 5, pp. 1057-1066, May 1985.

T. Petru and T. Thiringer, “Modeling of wind turbines for power system studies,” IEEE Trans. on Power Systems, vol. 17, no. 4, pp. 1132- 1139, Nov. 2002.

F. Mei, and B. Pal, “Modal Analysis of Grid-Connected Doubly Fed Induction Generators," IEEE Transactions on Energy Conversion, vol. 22, no. 3, pp. 728-736, Sep. 2007.

B. Pal and F. Mei, “Modelling adequacy of the doubly fed induction generator for small-signal stability studies in power systems," IET Renewable Power Generation, vol. 2, no. 3, pp. 181-190, Sep. 2008.

R. K. Varma, S. Auddy and Y. Semsedini, “Mitigation of Subsynchronous Resonance in a Series-Compensated Wind Farm Using FACTS Controllers,” IEEE Trans. on Power Delivery, vol. 23, no. 3, pp. 1645-1654, Jul. 2008.


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