Impact of wind generation uncertainty on power system small disturbance voltage stability: A PCM-based approach

Electric Power Systems Research

Volumn 84, Issue 1, 2012, Pages 10-19

  Zheng, Ce ^a   Kezunovic, Mladen ^a  

^a Department of Electrical and Computer Engineering   (United States)

Author keywords

Eigenvalue; PCM; Probability density function; Small disturbance; Uncertainty; Voltage stability; Wind generation

Indexed keywords

EIGEN-VALUE; PROBABILITY DENSITIES; SMALL DISTURBANCE; UNCERTAINTY; WIND GENERATION;

COMPUTER SIMULATION; EIGENVALUES AND EIGENFUNCTIONS; ELECTRIC POWER SYSTEMS; ELECTRIC UTILITIES; MONTE CARLO METHODS; POWER TRANSMISSION; PROBABILITY DENSITY FUNCTION; PROBABILITY DISTRIBUTIONS; PULSE CODE MODULATION; SYSTEM STABILITY; VOLTAGE CONTROL; VOLTAGE STABILIZING CIRCUITS; WIND POWER;

UNCERTAINTY ANALYSIS;

EID: 80054931175     PISSN: 03787796     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.epsr.2011.10.001     Document Type: Article

References (30)

1. T. Van Cutsem, and C. Vournas Voltage Stability of Electric Power Systems 1998 Kluwer Academic Publishers Boston
2. P. Kessel, and H. Glavitsch Estimating the voltage stability of a power system IEEE Trans. Power Deliv. 1 1986 346 354
3. M. Brucoli, F. Rossi, F. Torelli, and M. Trovato A generalized approach to the analysis of voltage stability in electric power systems Electr. Power Syst. Res. 9 1985 49 62 (Pubitemid 15512853)
4. N. Yorino, H. Sasaki, and Y. Masuda An investigation of voltage instability problems IEEE Trans. Power Syst. 7 1992 600 611
5. C.D. Vournas, P.W. Sauer, and M.A. Pai Relationships between voltage and angle stability of power systems Electr. Power Energy Syst. 18 1996 493 500 (Pubitemid 126371338)
6. Prabha Kundur Power System Stability and Control 1994 McGraw-Hill New York
7. N. Amjady, and M.R. Ansari Small disturbance voltage stability evaluation of power systems IEEE Transmission and Distribution Conference and Exposition 2008
8. W. Freitas, L.C.P. DaSilva, and A. Morelato Small-disturbance voltage stability of distribution systems with induction generators IEEE Trans. Power Syst. 20 2005 1653 1654 (Pubitemid 41300981)
9. Z. Lubosny Wind Turbine Operation in Electric Power Systems 2003 Springer New York
10. B. Venkatesh, A. Rost, and L. Chang Dynamic voltage collapse index - wind generator application IEEE Trans. Power Deliv. 22 2007 90 94 (Pubitemid 46562646)
11. F. Zhou, G. Joos, and C. Abbey Voltage stability in weak connection wind farms Proceedings of IEEE PES General Meeting 2005
12. N.R. Ullah, and T. Thiringer Variable speed wind turbines for power system stability enhancement IEEE Trans. Energy Convers. 22 2007 52 60 (Pubitemid 46487476)
13. E. Muljadi, C.P. Butterfield, B. Parsons, and A. Ellis Effect of variable speed wind turbine generator on stability of a weak grid IEEE Trans. Energy Convers. 22 2007 29 36 (Pubitemid 46487474)
14. C. Zheng, and M. Kezunovic Distribution system voltage stability analysis with wind farms integration IEEE PES 42nd North America Power Symposium Arlington, TX, USA 2010
15. V. Vittal, J. McCalley, V. Ajjarapu, U.V. Shanbhag, Impact of increased DFIG wind penetration on power systems and markets, PSerc Project Report, 2009-2010, available: http://www.pserc.wisc.edu/research/public-reports/systems. aspx.
16. F. Mei, and B. Pal Modal analysis of grid-connected doubly fed induction generators IEEE Trans. Energy Convers. 22 2007 728 736 (Pubitemid 47323589)
17. H.A. Pulgar-Painemal, and P.W. Sauer Power system modal analysis considering doubly-fed induction generators IREP Symposium on Bulk Power System Dynamics and Control 2010
18. C. Wang, L. Shi, L. Wang, Y. Ni, and M. Bazargan Modeling analysis in power system small signal stability considering uncertainty of wind generation Proceedings of IEEE PES General Meeting 2010
19. M.A. Tatang, Direct Incorporation of Uncertainty in Chemical and Environmental Systems, Ph.D. dissertation, Massachusetts Institute of Technology, Cambridge, 1995.
20. M. Webster, M.A. Tatang, and G.J. Mcrae Application of the probabilistic collocation method for an uncertainty analysis of a simple ocean model Joint Program on the Science and Policy of Global Change 1996 MIT, Cambridge, MA Tech. Rep. 4
21. J.R. Hockenberry, and B.C. Lesieutre Evaluation of uncertainty in dynamic simulations of power system models: the probabilistic collocation method IEEE Trans. Power Syst. 19 2004 1483 1491
22. D. Han, J. Ma, and R. He Effect of uncertainties in parameters of load model on dynamic stability based on probabilistic collocation method Proceedings of the IEEE 2007 Power Tech. 2007
23. P.J. Davis, and P. Rabinowitz Methods of Numerical Integration 1975 Academic New York
24. M. El-Kateb, S. Abdelkader, and M.S. Kandil Linear indicator for voltage collapse in power systems IEE Proc. Gener. Transm. Distrib. 144 1997 139 146
25. S. Abdelkader, and B. Fox Voltage stability assessment for systems with large power generation Int. J. Power Syst. Optim. 2 2010 99 104
26. PTI PSS/E Application Guide, vol. I [M] 2002 PSS/E Brochure
27. GE Energy, 3.6 MW Wind Turbine Technical Specifications.
28. Z. Xu, Z.Y. Dong, and P. Zhang Probabilistic small signal analysis using Monte Carlo simulation Proceedings of IEEE PES General Meeting 2005
29. M. Abramowitz, and I.A. Stegun Orthogonal Polynomials. Ch. 22 in Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, 9th printing 1972 Dover New York
30. N.G. Ushakov, Density of a probability distribution. In Hazewinkel, Michiel, Encyclopedia of Mathematics, SpringerLink, 2001.