A dynamic analysis of the stability of a network of induction generators

IEEE Transactions on Power Systems

Volumn 23, Issue 2, 2008, Pages 657-663

  Radunskaya, Ami ^a   Williamson, Robert ^b   Yinger, Robert ^c  

^a POMONA COLLEGE   (United States)

^b CLAREMONT GRADUATE UNIVERSITY   (United States)

^c SOUTHERN CALIFORNIA EDISON   (United States)

Author keywords

Induction generator; Modeling; Power system dynamic stability; Stability; Stability criteria; Turbines; Wind power generation

Indexed keywords

CAPACITORS; DYNAMIC ANALYSIS; MATHEMATICAL MODELS; ORDINARY DIFFERENTIAL EQUATIONS; STABILITY CRITERIA; VOLTAGE CONTROL; WIND TURBINES;

CONTINUOUS-TIME DYNAMIC MODEL; POWER SYSTEM DYNAMIC STABILITY; WIND POWER GENERATION;

ASYNCHRONOUS GENERATORS;

EID: 43849098202     PISSN: 08858950     EISSN: None     Source Type: Journal    
DOI: 10.1109/TPWRS.2008.919435     Document Type: Article

References (16)

1. G. Hahn, R. Tucker, K. Fedorchuk, A. Radunskaya, and R. Williamson, Power Grid Instabilities Due to Wind Turbine Generators, Claremont Graduate Univ., Claremont, CA, Aug. 2001, Tech. Rep..
2. A. Limon, R. Tucker, A. Radunskaya, and R. Williamson, Power Grid Instabilities Due to Wind Turbine Generators: A Refined Model, Claremont Graduate Univ., Claremont, CA, Jan. 2002, Tech. Rep..
3. N. Kobayashi, H. Okamoto, and Y. Sekine, "New methods for visualization of dynamic behavior of power systems," IEEE Trans. Power Syst., vol. 13, no. 3, pp. 999-1005, Aug. 1998.
4. C. Zhang, "Analysis of the interaction between voltage unbalance and wind power plant operation," Wind Eng., vol. 20, no. 5, pp. 307-318, 1996.
5. A. Feijoo and J. Cidras, "Modeling of wind farms in the load flow analysis," IEEE Trans. Power SySt., vol. 15, no. 1, pp. 110-115, Feb. 2000.
6. J. Bonnans, "Mathematical study of very high voltage power networks I: The optimal DC power flow problem," Siam J. Optim., vol. 7, no. 4, pp. 979-990, Nov. 1997.
7. V. Akhmatov, H. Knudsen, and A. H. Nielsen, "Advanced simulation of windmills in the electric power supply," Elect. Power Energy Syst. vol. 22, pp. 421-434, 2000.
8. E. N. Hinrichsen and P. J. Nolan, "Dynamics and stability of wind turbine generators," IEEE Trans. Power App. Syst., vol. PAS-101, no. 8, pp. 2640-2648, Aug. 1982.
9. H. Ohta and Y. Ueda, "Global bifurcation caused by unstable limit cycle leading to voltage collapse in an electric power system," Chaos, Solitons, Fractals, vol. 9, no. 6, pp. 824-843, 1998.
10. W. Ji and V. Venkatasubramanian, "Dynamics of a minimal power system: Invariant tori and quasi-periodic motions," IEEE Trans. Circuits Syst. I, vol. 42, no. 12, pp. 981-1000, Dec. 1995.
11. H. Chiang, C. Liu, P. Varaiya, F. Wu, and M. Lauby, "Chaos in a simple power system," IEEE Trans. Power Syst., vol. 8, no. 4, pp. 1407-1414, Nov. 1993.
12. V. Ajjarapu and B. Lee, "Bifurcation theory and its application to nonlinear dynamical phenomena in an electrical power system," IEEE Trans. Power Syst., vol. 7, no. 1, pp. 424-431, Feb. 1992.
13. P. Kundur, Power System Stability and Control. New York: McGraw-Hill, 1994.
14. M. W. Hirsch and S. Smale, Differential Equations, Dynamical Systems, and Linear Algebra. New York: Academic, 1974.
15. E. Delaleau and A. M. Stanković, "Dynamic phasor modeling of the doubly-fed induction machine in generator operation," in Proc. 4th Int. Workshop Large Scale Integration of Wind Power and Transmission Networks for Offshore Wind Farms, Oct. 2003.
16. E. Delaleau and A. M. Stanković, "Modeling and simulation of the induction motor with position-dependent load torque," in Proc. 42nd IEEE Conf. Decision and Control, Dec. 2003, pp. 6212-6217.