A chance constrained transmission network expansion planning method with consideration of load and wind farm uncertainties

IEEE Transactions on Power Systems

Volumn 24, Issue 3, 2009, Pages 1568-1576

  Yu, H ^a,b   Chung, C Y ^a   Wong, K P ^a,c   Zhang, J H ^a  

^a HONG KONG POLYTECHNIC UNIVERSITY   (Hong Kong)

^b NORTH CHINA ELECTRIC POWER UNIVERSITY   (China)

^c UNIVERSITY OF WESTERN AUSTRALIA   (Australia)

Author keywords

Chance constrained programming; Probability; Transmission network planning; Wind turbine generator

Indexed keywords

CHANCE CONSTRAINED PROGRAMMING; CHANCE-CONSTRAINED; COMPUTATIONALLY EFFICIENT; MONTE CARLO; PROBABILISTIC POWER FLOW; TEST SYSTEMS; TRANSMISSION NETWORK EXPANSION PLANNING; TRANSMISSION NETWORK PLANNING; WIND FARM; WIND TURBINE GENERATOR; WIND TURBINE GENERATORS;

COMPUTER SIMULATION LANGUAGES; ELECTRIC POWER TRANSMISSION NETWORKS; ELECTRIC UTILITIES; ENGINES; LIGHT TRANSMISSION; PROBABILITY; TURBOGENERATORS; WIND POWER; WIND TURBINES;

PROBABILITY DENSITY FUNCTION;

EID: 68349150313     PISSN: 08858950     EISSN: None     Source Type: Journal    
DOI: 10.1109/TPWRS.2009.2021202     Document Type: Article

References (33)

1. L. L. Garver, "Transmission network estimation using linear programming," IEEE Trans. Power App. Syst., vol. PAS-89, no. 7, pp. 1688-1697, Sep./Oct. 1970.
2. R. Romero, A. Monticelli, A. Garcia, and S. Haffner, "Test systems and mathematical models for transmission network expansion planning," Proc. Inst. Elect. Eng., Gen., Transm., Distrib., vol. 149, no. 1, pp. 27-36, Jan. 2002.
3. R. A. Gallego, A. Monticelli, and R. Romero, "Comparative studies on nonconvex optimization methods for transmission network expansion planning," IEEE Trans. Power Syst., vol. 13, no. 3, pp. 822-828, Aug. 1998.
4. R. Romero, R. A. Gallego, and A. Monticelli, "Transmission system expansion planning by simulated annealing," IEEE Trans. Power Syst. vol. 11, no. 1, pp. 364-369, Feb. 1996.
5. I. De, J. Silva, M. J. Rider, R. Romero, and C. A. F. Murari, "Transmission network expansion planning considering uncertainty in demand," IEEE Trans. Power Syst., vol. 21, no. 4, pp. 1565-1573, Nov. 2006.
6. J. T. Saraiva, V. Miranda, and L. M. V. G. Pinto, "Impact on some planning decisions from a fuzzy modelling of power systems," IEEE Trans. Power Syst., vol. 9, no. 2, pp. 819-825, May 1994.
7. C. Jaeseok, A. A. El-Keib, and T. Tran, "A fuzzy branch and bound-based transmission system expansion planning for the highest satisfaction level of the decision maker," IEEE Trans. Power Syst., vol. 20, no. 1, pp. 476-484, Feb. 2005.
8. M. O. Buygi, G. Balzer, H. M. Shanechi, and M. Shahidehpour, "Market-based transmission expansion planning," IEEE Trans. Power Syst., vol. 19, no. 4, pp. 2060-2067, Nov. 2004.
9. P. Sanchez-Martin, A. Ramos, and J. F. Alonso, "Probabilistic midterm transmission planning in a liberalized market," IEEE Trans. Power Syst., vol. 20, no. 4, pp. 2135-2142, Nov. 2005.
10. Z. Xu, Z. Y. Dong, and K. P. Wong, "A hybrid planning method for transmission networks in a deregulated environment," IEEE Trans. Power Syst., vol. 21, no. 2, pp. 925-932, May 2006.
11. J. Choi, T. Tran, A. A. El-Keib, R. Thomas, H. Oh, and R. Billinton, "A method for transmission system expansion planning considering probabilistic reliability criteria," IEEE Trans. Power Syst., vol. 20, no. 3, pp. 1606-1615, Aug. 2005.
12. F. S. Reis, P. M. S. Carvalho, and L. A. F. M. Ferreira, "Reinforcement scheduling convergence in power systems transmission planning," IEEE Trans. Power Syst., vol. 20, no. 2, pp. 1151-1157, May 2005.
13. R. Billinton and W. Wangdee, "Reliability-based transmission reinforcement planning associated with large-scale wind farms," IEEE Trans. Power Syst., vol. 22, no. 1, pp. 34-41, Feb. 2007.
14. B. Liu, Theory and Practice of Uncertain Programming. New York: Heidelberg, 2002.
15. U. A. Ozturk, M. Mazumdar, and B. A. Norman, "A solution to the stochastic unit commitment problem using chance constrained programming," IEEE Trans. Power Syst., vol. 19, no. 3, pp. 1589-1598, Aug. 2004.
16. A. Charnes and W. W. Cooper, "Chance-constrained programming," Manage. Sci., vol. 6, no. 1, pp. 73-79, Oct. 1959.
17. D. P. Loucks, "Some comments on linear decision rules and chance constraints," Water Resour. Res., vol. 6, no. 2, pp. 668-671, Apr. 1970.
18. D. P. Loucks and P. J. Dorfman, "An evaluation of some linear decision rules in chance-constrained models for reservoir planning and operation," Water Resour. Res., vol. 11, no. 6, pp. 777-782, Dec. 1975.
19. R. Fang and D. J. Hill, "A new strategy for transmission expansion in competitive electricity markets," IEEE Trans. Power Syst., vol. 18, no. 1, pp. 374-380, Feb. 2003.
20. I. Abouzahr and R. Ramakumar, "An approach to assess the performance of utility-interactive wind electric conversion systems," IEEE Trans. Energy Convers., vol. 6, no. 4, pp. 627-638, Dec. 1991.
21. R. Karki, P. Hu, and R. Billinton, "A simplified wind power generation model for reliability evaluation," IEEE Trans. Energy Convers., vol. 21, no. 2, pp. 533-540, Jun. 2006.
22. W. Li, Risk Assessment of Power Systems: Models, Methods, and Applications. New York: IEEE Press/Wiley, 2005.
23. R. N. Allan, C. H. Grigg, and M. R. G. AL-Shakarchi, "Numerical techniques in probabilistic load flow problems," Int. J. Numer. Meth. Eng., vol. 10, pp. 853-860, 1976.
24. B. Borkowska, "Probabilistic load flow," IEEE Trans. Power App. Syst., vol. PAS-93, pp. 752-759, May 1974.
25. R. E. Walpole and R. H. Myers, Probability and Statistics for Engineers and Scientists, 5th ed. New York: Macmillan, 1993.
26. E. Suhir, Applied Probability for Engineers and Scientists. New York: McGraw-Hill, 1997.
27. E. L. Da Silva, H. A. Gil, and J. M. Areiza, "Transmission network expansion planning under an improved genetic algorithm," IEEE Trans. Power Syst., vol. 15, no. 3, pp. 1168-1174, Aug. 2000.
28. R. Romero and A. Monticelli, "A hierarchical decomposition approach for transmission network expansion planning," IEEE Trans. Power Syst. vol. 9, no. 1, pp. 373-380, Feb. 1994.
29. S. H. M. Hashimoto, R. Romero, and J. R. S. Mantovani, "Efficient linear programming algorithm for the transmission network expansion planning problem," Proc. Inst. Elect. Eng., Gen., Transm., Distrib. vol. 150, no. 5, pp. 536-542, Sep. 2003.
30. R. A. Gallego, A. Monticelli, and R. Romero, "Transmission system expansion planning by an extended genetic algorithm," Proc. Inst. Elect. Eng., Gen., Transm., Distrib., vol. 145, no. 3, pp. 329-335, May 1998.
31. A. H. Escobar, R. A. Gallego, and R. Romero, "Multistage and coordinated planning of the expansion of transmission systems," IEEE Trans. Power Syst., vol. 19, no. 2, pp. 735-744, May 2004.
32. I. de J. Silva, M. J. Rider, R. Romero, A. V. Garcia, and C. A. Murari, "Transmission network expansion planning with security constraints," Proc. Inst. Elect. Eng., Gen., Transm., Distrib., vol. 152, no. 6, pp. 828-836, Nov. 2005.
33. P. M. Subcommittee, "IEEE reliability test system," IEEE Trans. Power App. Syst., vol. PAS-98, no. 6, pp. 2047-2054, 1979.