Interval arithmetic in current injection power flow analysis

International Journal of Electrical Power and Energy Systems

Volumn 43, Issue 1, 2012, Pages 1106-1113

  Pereira, L E S ^a   Da Costa, V M ^a   Rosa, A L S ^a  

^a FEDERAL UNIVERSITY OF JUIZ DE FORA   (Brazil)

Author keywords

Current injection power flow; Data uncertainty; Electrical power systems; Interval arithmetic; Krawczyk algorithm

Indexed keywords

CURRENT INJECTION METHODS; CURRENT INJECTION POWER FLOW; DATA UNCERTAINTY; ELECTRICAL POWER SYSTEM; IEEE TEST SYSTEMS; INTERVAL ARITHMETIC; INTERVAL NON-LINEAR SYSTEMS; LINE DATA; MATLAB ENVIRONMENT; MONTE CARLO SIMULATION; POWER FLOW PROBLEM;

ELECTRIC POWER SUPPLIES TO APPARATUS; ENERGY RESOURCES;

MONTE CARLO METHODS;

EID: 84863732431     PISSN: 01420615     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijepes.2012.05.034     Document Type: Article

References (27)

1. T. Kulworawanichpong Simplified Newton-Raphson power flow solution method Int J Electr Power Energy Syst 32 6 2010 551 558
2. S. Mallick, D.V. Rajan, S.S. Thakur, P. Acharjee, and S.P. Ghoshal Development of a new algorithm for power flow analysis Int J Electr Power Energy Syst 33 8 2011 1479 1488
3. A.G. Exposito, and E.R. Ramos Augmented rectangular load flow model IEEE Trans Power Syst 17 2 2002 271 276
4. V.M. Da Costa, N. Martins, and J.L.R. Pereira Developments in the Newton-Raphson power flow formulation based on current injections IEEE Trans Power Syst 14 4 1999 1320 1326
5. V.M. Da Costa, J.L.R. Pereira, and N. Martins An augmented Newton-Raphson power flow formulation based on current injections Int J Electr Power Energy Syst 23 4 2001 305 312
6. A.M. Variz, V.M. Da Costa, J.L.R. Pereira, and N. Martins Improved representation of control adjustments into the Newton-Raphson power flow Int J Electr Power Energy Syst 25 7 2003 501 513
7. C.A. Ferreira, and V.M. Da Costa A second order power flow based on current injection equations Int J Electr Power Energy Syst 27 2 2005 254 263
8. P.A.N. Garcia, J.L.R. Pereira, V.M. Da Costa, and N. Martins Three phase power flow calculations using the current injection method IEEE Trans Power Syst 15 2 2000 508 514
9. V.M. Da Costa, M.L. Oliveira, and M.R. Guedes Developments in the analysis of unbalanced three-phase power flow solutions Int J Electr Power Energy Syst 29 2 2007 501 513
10. Z. Wang, and F.L. Alvarado Interval arithmetic in power flow analysis IEEE Trans Power Syst 7 3 1992 1341 1349
11. Barboza L, Dimuro G, Reiser R. Towards interval analysis of the load uncertainty in power electric systems. In: 8th international conference on probabilistic methods applied to power systems. Ames, Iowa; 2004.
12. A. Vaccaro, C.A. Canizares, and D. Villacci An affine arithmetic-based methodology for reliable power flow analysis in the presence of data uncertainty IEEE Trans Power Syst 25 2 2010 624 632
13. P. Zhang, W. Li, and S. Wang Reliability-oriented distribution network reconfiguration considering uncertainties of data by interval analysis Int J Electr Power Energy Syst 34 1 2012 138 144
14. A. Dimitrovski, and K. Tomsovic Boundary load flow solutions IEEE Trans Power Syst 19 1 2004 348 355
15. G.K. Stefopoulos, A.P. Meliopoulos, and G.J. Cokkinides Probabilistic power flow with non-conforming electric loads Int J Electr Power Energy Syst 27 4 2005 627 634
16. C.L. Su Probabilistic load-flow computation using point estimate method IEEE Trans Power Syst 20 4 2005 1843 1851
17. Z. Hu, and X. Wang A probabilistic load flow method considering branch outages IEEE Trans Power Syst 21 2 2006 507 514
18. J. Usaola Probabilistic load flow with wind production uncertainty using cumulants and Cornish-Fisher expansion Int J Electr Power Energy Syst 31 3 2009 474 481
19. M. Ramaswamy, and K.R. Nayar On-line estimation of bus voltages based on fuzzy logic Int J Electr Power Energy Syst 26 1 2004 681 684
20. P.R. Bijwe, M. Hanmandlu, and V.N. Pande Fuzzy power flow solutions with reactive limits and multiple uncertainties Electr Power Syst Res 76 2 2005 145 152
21. M. Cortés-Carmona, R. Palma-Behnke, and G. Jiménez- Estévez Fuzzy arithmetic for the DC load flow IEEE Trans Power Syst 25 1 2010 206 214
22. B.M. Kalesar, and A.R. Seifi Fuzzy load flow in balanced and unbalanced radial distribution systems incorporating composite load model Int J Electr Power Energy Syst 32 1 2010 17 23
23. R.E. Moore Methods and applications of interval analysis 1979 SIAM Philadelphia
24. R.B. Keafort, and V. Kreinovich Applications of interval computations 1996 Kluwer Boston
25. U.W. Kulish Advanced arithmetic for the digital computer design of arithmetic units Electron Notes Theor Comput Sci 24 1999
26. Rump SM. Intlab-interval laboratory in developments in reliable computing. In: Csendes T. editor. Dordrecht. Kluwer; 1999. p. 77-104.
27. Hargreaves GI. Interval analysis in Matlab, Manchester Centre for Comp Math, Manchester, Numerical Analysis Report N 416; 2002.