Probabilistic analysis for optimal power flow under uncertainty

IET Generation, Transmission and Distribution

Volumn 4, Issue 5, 2010, Pages 553-561

  Zhang, H ^a   Li, P ^a  

^a ILMENAU UNIVERSITY OF TECHNOLOGY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

BUS SYSTEMS; CHANCE-CONSTRAINED PROGRAMMING MODEL; MAKING DECISION; MONTE-CARLO SIMULATIONS; OPERATION PERFORMANCE; OPTIMAL DISPATCH; OPTIMAL POWER FLOWS; OPTIMALITY; OPTIMISATIONS; POWER SYSTEMS; PROBABILISTIC ANALYSIS; STOCHASTIC FEATURES; SYSTEM RISK ASSESSMENT; UNCERTAIN SYSTEM PARAMETERS; UNCERTAIN VARIABLES;

ACOUSTIC GENERATORS; DECISION MAKING; ELECTRIC LOAD FLOW; OPTIMIZATION; RISK ASSESSMENT; RISK MANAGEMENT; STOCHASTIC MODELS;

UNCERTAINTY ANALYSIS;

EID: 77953404139     PISSN: 17518687     EISSN: None     Source Type: Journal    
DOI: 10.1049/iet-gtd.2009.0374     Document Type: Article

References (32)

1. Carpentier, J.: 'Contribution à l'étude du dispatching économique', Bull. Soc. Fr. Elect., 1962, 3, (8), p. 431-447
2. Yong, T. Lasseter, R.H.: 'Stochastic optimal power flow: formulation and solution', IEEE Power Eng. Soc. Summer Meet., 2000, Seattle, USA p. 237-242
3. Borkowska, B.: 'Probabilistic load flow', IEEE Trans. Power Appar. Syst., 1974, PAS-93, (3), p. 752-759, 0018-9510
4. Allan, R.N. Borkowska, B. Grigg, C.H.: 'Probabilistic analysis of power flows', Proc. IEE, 1974, 121, (12), p. 1551-1556
5. Allan, R.N. Al-Shakarchi, M.R.G.: 'Probabilistic a.c. load flow', Proc. IEE, 1976, 123, (6), p. 531-536
6. Allan, R.N. Al-Shakarchi, M.R.G.: 'Probabilistic techniques in a.c. load-flow analysis', Proc. IEE, 1977, 124, p. 154-160
7. Zhang, P. Lee, S.T.: 'Probabilistic load flow computation using the method of combined cumulants and Gram-Charlier expansion', IEEE Trans. Power. Syst., 2004, 19, (1), p. 676-682, 0885-8950
8. Morales, J.M. Pérez-Ruiz, J.: 'Point estimate schemes to solve the probabilistic power flow', IEEE Trans. Power Syst., 2007, 22, (4), p. 1594-1601, 0885-8950
9. Viviani, G.L. Heydt, G.T.: 'Stochastic energy dispatch', IEEE Trans. Power Appar. Syst., 1981, PAS-100, (7), p. 3221-3227, 0018-9510
10. Madrigal, M. Ponnambalam, K. Quintana, V.H.: 'Probabilistic optimal power flow', IEEE Can. Conf. on Elect. & Computer Eng., Waterloo, Canada 1998, 1, p. 385-388
11. Schellenberg, A. Rosehart, W. Aguado, J.: 'Cumulant based probabilistic optimal power flow (P-OPF)', Int. Conf. on Proba. Methods Applied to Power Syst., Ames, Iowa, September 2004, p. 506-511
12. Verbič, G. Cañizares, C.A.: 'Probabilistic optimal power flow in electricity markets based on a two-point estimate method', IEEE Trans. Power Syst., 2006, 21, (4), p. 1883-1893, 0885-8950
13. Verbič, G. Schellenberg, A. Rosehart, W. Cañizares, C.A.: 'Probabilistic optimal power flow application to electricity markets', Int. Conf. on Proba. Methods Applied to Power Syst., Stockholm, Sweden, June 2006, p. 1-6
14. Li, X. Li, Y. Zhang, S.: 'Analysis of probabilistic optimal power flow taking account of the variation of load power', IEEE Trans. Power Syst., 2008, 23, (3), p. 992-999, 0885-8950
15. Bo, R. Li, F.: 'Impact of load forecast uncertainty on LMP', Power Syst. Conf. & Expo., Seattle, USA, March 2009, p. 1-6
16. Charnes, A. Cooper, W.W.: 'Chance-constrained programming', Manage. Sci., 1959, 6, (1), p. 73-79, 0025-1909
17. Prékopa, A.: 'Stochastic programming', (Kluwer Academic Publishers, The Netherlands 1995)
18. Kall, P. Wallace, S.W.: 'Stochastic programming', (Wiley, Chichester 1994)
19. Yu, H. Chung, C.Y. Wong, K.P. Zhang, J.H.: 'A chance constrained transmission network expansion planning method with consideration of load and wind farm uncertainties', IEEE Trans. Power Syst., 2009, 24, (3), p. 1568-1576, 0885-8950
20. Ozturk, U.A. Mazumdar, M. Norman, B.A.: 'A solution to stochastic unit commitment problem using chance constrained programming', IEEE Trans. Power Syst., 2004, 19, (3), p. 1589-1598, 0885-8950
21. Li, P. Arellano-Garcia, H. Wozny, G.: 'Chance constrained programming approach to process optimization under uncertainty', Comput. Chem. Eng., 2008, 32, (1-2), p. 24-45, 0098-1354
22. Flemming, T. Bartl, M. Li, P.: 'Set-point optimization for closed-loop control systems under uncertainty', Ind. Eng. Chem. Res., 2007, 46, (14), p. 4930-4942, 0888-5885
23. Wendt, M. Li, P. Wozny, G.: 'Nonlinear chance-constrained process optimization under uncertainty', Ind. Eng. Chem. Res., 2002, 41, (15), p. 3621-3629, 0888-5885
24. Bernardo, F.P. Pistikopoulos, E.N. Saraiva, P.M.: 'Integration and computational issues in stochastic design and planning optimization problems', Ind. Eng. Chem. Res., 1999, 38, (8), p. 3056-3068, 0888-5885
25. Kibzun, A. Uryasev, S.: 'Differentiability of probability function', Stochast. Anal. Appl., 1998, 16, (6), p. 1101-1128
26. Garnier, J. Omrane, A. Rouchdy, Y.: 'Asmptotic formulas for the derivatives of probability functions and their Monte Carlo estimations', Eur. J. Oper. Res., 2009, 198, (3), p. 848-858, 0377-2217
27. Diwekar, U.: 'Introduction to applied optimization', 2nd(Springer Press, New York 2008)
28. Torres, G.L.: 'Nonlinear optimal power flow by interior and non-interior point methods', 1998, PhD, University of Waterloo
29. Billinton, R. Li, W.: 'Reliability assessment of electric power systems using Monte Carlo methods', (Plenum Press, New York 1994)
30. Fishman, G.S.: 'Monte Carlo: concepts, algorithms, and applications', (Springer Press, New York 1996)
31. Pereira, M.V.F. Maceira, M.E.P. Olivera, G.C. Pinto, L.M.V.G.: 'Combining analytical models and Monte-Carlo techniques in probabilistic power system analysis', IEEE Trans. Power Syst., 1992, 7, (1), p. 265-272, 0885-8950
32. http://www.pserc.cornell.edu/matpower/, accessed June 2009