Semi-definite programming-based method for security-constrained unit commitment with operational and optimal power flow constraints

IET Generation, Transmission and Distribution

Volumn 3, Issue 2, 2009, Pages 182-197

  Bai, X ^a   Wei, H ^a  

^a GUANGXI UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

POLYNOMIAL APPROXIMATION;

BUS VOLTAGES; INTEGER VARIABLES; INTERIOR-POINT METHODS; MODEL DECOMPOSITIONS; NUMERICAL SIMULATIONS; OPERATION COSTS; OPTIMAL POWER FLOWS; POLYNOMIAL TIME; POWER SYSTEMS; SECURITY-CONSTRAINED UNIT COMMITMENTS; SEMI-DEFINITE PROGRAMMING; TEST CASE;

POWER ELECTRONICS;

EID: 60649099392     PISSN: 17518687     EISSN: None     Source Type: Journal    
DOI: 10.1049/iet-gtd:20070516     Document Type: Article

References (31)

1. Padhy, N.P.: ' Unit commitment: a bibliographical survey ', IEEE Trans. Power Syst., 2004, 19, p. 1196-1205 10.1109/TPWRS.2003.821611 0885-8950
2. Fu, Y., Shahidehpour, M., and Li, Z.: ' Security-constrained unit commitment with AC constraints ', IEEE Trans. Power Syst., 2005, 20, p. 1538-1550 10.1109/TPWRS.2005.854375 0885-8950
3. Fu, Y., Shahidehpour, M., and Li, Z.: ' C contingency dispatch based on security-constrained unit commitment ', IEEE Trans. Power Syst., 2006, 21, p. 897-908 10.1109/TPWRS.2006.873407 0885-8950
4. Sasaki, H., Yamamoto, T., Kubokawa, J., Nagata, T., and Fujita, H.: ' A solution of unit commitment with transmission and voltage constraints by heuristic method and optimal power flow ', Proc. Int. Conf. Power System Technology, Perth, Australia, December, 2000, 1, p. 357-362
5. Guy, J.D.: ' Security constrained unit commitment ', IEEE Trans. Power Appl. Syst., 1971, PAS-90, p. 1385-1389
6. Zhuang, F., and Galiana, F.D.: ' Toward a more rigorous and practical unit commitment by Lagrangian relaxation ', IEEE Trans. Power Syst., 1988, 3, p. 763-773 10.1109/59.192933 0885-8950
7. Huang, K.-Y., Yang, H.-T., and Huang, C.-L.: ' A new thermal unit commitment approach using constraint logic programming ', IEEE Trans. Power Syst., 1998, 13, p. 936-945 10.1109/59.708832 0885-8950
8. Ma, H., and Shahidehpour, S.M.: ' Unit commitment with transmission security and voltage constraints ', IEEE Trans. Power Syst., 1999, 14, p. 757-764 10.1109/59.761909 0885-8950
9. Maifeld, T.T., and Sheble, G.B.: ' Genetic-based unit commitment algorithm ', IEEE Trans. Power Syst., 1996, 11, p. 1359-1370 10.1109/59.536120 0885-8950
10. Fuentes-Loyola, R., and Quintana, V.H.: ' Medium - term hydrothermal coordination by semi-definite programming ', IEEE Trans. Power Syst., 2003, 18, p. 1515-1522 10.1109/TPWRS.2003.811006 0885-8950
11. Madrigal, M., and Quintana, V.H.: ' Semidefinite programming relaxations for 0, l - power dispatch problems ', Proc. Of IEEE-PES 1999 Summer Meeting, Edmonton, Al., Canada, May, 1999, p. 697-702
12. Mittelmann, H.D.: ' An independent benchmarking of SDP and SOCP solvers ', Math. Program., 2003, 95, (2), p. 407-430 0025-5610
13. Benson, S.J., Ye, Y., and Zhang, X.: ' Solving large-scale sparse semidefinite programs for combinatorial optimization ', SIAM J. Optim., 1998, 10, p. 443-461 1052-6234
14. Wolkowicz, H.: ' Handbook of applied optimization ', (Oxford University Press, 2001)
15. Parrilo, P.: ' Semidefinite programming relaxations and algebraic optimization in control ', Eur. J. Control, 2003, 9, p. 307-321 0947-3580
16. Alkire, B., and Vandenberghe, L.: ' Convex optimization problems involving finite autocorrelation sequences ', Math. Program. A, 2002, 93, p. 331-359 0025-5610
17. Goemans, M.X., and Rendl, F.: ' Semidefinite programming in combinatorial optimization ', Math. Program. A, 1997, 79, p. 143-161 0025-5610
18. Vandenberghe, L., and Boyd, S.: ' Semidefinite programming ', SIAM Rev., 1996, 38, p. 49-95 10.1137/1038003 0036-1445
19. Todd, M.J.: ' Semidefinite optimization ', Acta Numerica, 2001, 10, p. 515-560
20. Alizadeh, F., Haeberly, J.-P.A., and Overton, M.L.: ' Primal-dual interior-point mathods for semidefinite programming: convergence rates, stability and numerical results ', SIAM J. Optim., 1996, 8, p. 746-768 1052-6234
21. Wright, S.: ' Primal-dual interior-point methods ', (Soc for Industrial and Applied Math Press, 1997)
22. Yamashita, M., Fujisawa, K., and Kojima, M.: ' Implementation and evaluation of SDPA 6.0 (Semi-definite programming algorithm 6.0) ', Optim. Methods Softw., 2003, 18, p. 491-505 10.1080/1055678031000118482
23. http://homepage.mac.com/klabtitech/sdpa-homepage/download.html, accessed April 2008
24. Adlera, I., Alizadeh, F.: ' Primal-dual interior point algorithms for convex quadratically constrained and semidefinite optimization problems ', December, 1995, http://rutcor.rutgers.edu/pub/rrr/reports95/46.ps accessed April 2008, Rutgers Center for Operations Research, Rutgers University, New Brunswick, New Jersey
25. Yamashita, M., Fujisawa, K., and Kojima, M.: ' SDPARA: semidefinite programming algorithm PARAllel version ', Parallel Comput., 2003, 29, p. 1053-1067 10.1016/S0167-8191(03)00087-5 0167-8191
26. Wei, H., Sasaki, H., Kubokawa, J., and Yokoyama, R.: ' Large scale hydrothermal optimal power flow problems based on interior point nonlinear programming ', IEEE Trans. Power Syst., 2000, 15, p. 396-403 10.1109/59.852150 0885-8950
27. http://sedumi.mcmaster.ca/, accessed April 2008
28. http://www-unix.mcs.anl.gov/DSDP/, accessed April 2008
29. Fuentes, R.: ' Hydro-thermal coordination problem using improved direct and indirect methods ', 2002, PhD, University of Waterloo
30. Hochbaum, D.: ' Approximation algorithms for NP-hard problems ', (PWS Publishing Company Press, 1997)
31. Luo, Z.-Q., and Yu, W.: ' An introduction to convex optimization for communications and signal processing ', IEEE J. Sel. Areas Commun., 2006, 24, p. 1426-1438 10.1109/JSAC.2006.879347 0733-8716