An application of interval analysis and optimization to electric energy markets

IEEE Transactions on Power Systems

Volumn 21, Issue 2, 2006, Pages 515-523

  Sarić, Andrija T ^a   Stanković, Aleksandar M ^a  

^a Northeastern University   (United States)

Author keywords

Optimization methods; Power flow analysis; Power system economics; Uncertainty

Indexed keywords

ALGORITHMS; DEREGULATION; ECONOMICS; ELECTRIC LOAD FLOW; ELECTRIC NETWORK ANALYSIS; LINEAR PROGRAMMING; OPTIMIZATION;

ELECTRIC ENERGY MARKETS; POWER FLOW ANALYSIS; POWER SYSTEM ECONOMICS;

ELECTRIC POWER SYSTEMS;

EID: 33646351540     PISSN: 08858950     EISSN: None     Source Type: Journal    
DOI: 10.1109/TPWRS.2006.874539     Document Type: Review

References (16)

1. E. Litvinov, "Power system and LMP fundamentals" ISO New England Inc, 2003, [Online] Available: http://www.iso-ne.com/seminars/ Power_System_and_LMP_FTR_Fund_EL0519_Lap.pdf.
2. N. S. Rau, "Issues in the path toward an RTO and standard markets," IEEE Trans. Power Syst., vol. 18, no. 2, pp. 435-443, May 2003.
3. Z. Wang and F. L. Alvarado, "Interval arithmetic in power flow analysis," IEEE Trans. Power Syst., vol. 7, no. 3, pp. 1341-1349, Aug. 1992.
4. H. Mori and A. Yuihara, "Calculation of multiple power flow solutions with the Krawczyk method," Proc. IEEE Int. Symp. Circuit Syst., vol. 5, pp. 94-97, May/Jun. 1999.
5. L. El Ghaoui, "Inversion error, condition number, and approximate inverses of uncertain matrices," Lin. Alg. Appl., vol. 343, pp. 171-193, 2002.
6. A. T. Sarić and A. M. Stanković, "Model uncertainty in security assessment of power systems," IEEE Trans. Power Syst., vol. 20, no. 3, pp. 1398-1405, Aug. 2005.
7. A. L. Soyster, "Convex programming with set-inclusive constraints and applications to inexact linear programming," Oper. Res., vol. 21, pp. 1154-1157, 1973.
8. L. Jaulin, M. Kieffer, O. Didrit, and É. Walter, Applied Interval Analysis. London, U.K.: Springer-Verlag, 2001.
9. E. Hansen and G. W. Walster, Global Optimization Using Interval Analysis, 2nd ed. New York: Marcel Dekker, 2003.
10. J. Rohn, "Systems of linear interval equations," Lin. Alg. Appl., vol. 126, pp. 39-78, 1989.
11. D. M. Gay, "Solving interval linear equations," SIAM J. Numer. Anal., vol. 19, pp. 858-870, 1982.
12. D. M. Gay, INTLAB - INTerval LABoratory. [Online] Available: http://www.ti3.tu-harburg.de/-r-ump/intlab/.
13. D. M. Gay, COCONUT Environment - An Open Source Solver Platform for Global Optimization Problems. [Online] Available: http://www.mat.urtivie. ac.at/coconut-environment/.
14. A. Neumaier, "A simple derivation of the Hansen-Bliek-Rohn-Ning-Kearfott enclosure for linear interval equations," Reliab. Comput., vol. 5,pp.131-136,1999.
15. J. W. Chinneck and K. Ramadan, "Linear programming with interval coefficients," J. Oper. Res. Soc., vol. 51, pp. 209-220, Feb. 2000.
16. S. Chanas and D. Kuchta, "Multiobjective programming in optimization of interval objective functions - a generalized approach," Eur. J. Oper. Res., vol. 94, pp. 594-598, Nov. 1996.