Robust transmission network expansion planning with uncertain renewable generation and loads

IEEE Transactions on Power Systems

Volumn 28, Issue 4, 2013, Pages 4558-4567

  Jabr, R A ^a  

^a AMERICAN UNIVERSITY OF BEIRUT   (Lebanon)

Author keywords

Linear programming; Optimization methods; Power system planning

Indexed keywords

BENDERS DECOMPOSITION; MIXED INTEGER LINEAR PROGRAM; OPTIMIZATION METHOD; POWER SYSTEM PLANNING; RENEWABLE GENERATION; ROBUST OPTIMIZATION; SOLUTION ALGORITHMS; TRANSMISSION NETWORK EXPANSION PLANNING;

INTEGER PROGRAMMING; LINEAR PROGRAMMING; STOCHASTIC PROGRAMMING;

PROBABILITY DISTRIBUTIONS;

EID: 84886093553     PISSN: 08858950     EISSN: None     Source Type: Journal    
DOI: 10.1109/TPWRS.2013.2267058     Document Type: Article

References (23)

1. R. Romero, A. Monticelli, A. Garcia, and S. Haffner, "Test systems and mathematical models for transmission network expansion planning," Proc. Inst. Electr. Eng.-Gener. Transm. Distrib., vol. 149, no. 1, pp. 27-36, Jan. 2002.
2. G. Vinasco,M. J. Rider, and R. Romero, "A strategy to solve the multistage transmission expansion planning problem," IEEE Trans. Power Syst., vol. 26, no. 4, pp. 2574-2576, Nov. 2011.
3. S. Binato, M. V. F. Pereira, and S. Granville, "A new Benders decomposition approach to solve power transmission network design problems," IEEE Trans. Power Syst., vol. 16, no. 2, pp. 235-240, May 2001.
4. 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.
5. A. H. Escobar, R. A. Romero, and R. A. Gallego, "Transmission network expansion planning considering uncertainty in generation and demand," in Proc. IEEE/PES Transm. Distrib. Conf. Expo.: Latin America, Aug. 13-15, 2008, pp. 1-6.
6. T. A.M. Sharaf and G. J. Berg, "Static transmission capacity expansion planning under uncertainty," Electr. Power Syst. Res., vol. 7, no. 4, pp. 289-296, Sept. 1984.
7. J. A. López, K. Ponnambalam, and V. H. Quintana, "Generation and transmission expansion under risk using stochastic programming," IEEE Trans. Power Syst., vol. 22, no. 3, pp. 1369-1378, Aug. 2007.
8. 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.
9. H. Yu, C. Y. Chung, K. P. Wong, and J. H. Zhang, "A chance constrained transmission network expansion planning method with consideration of load and wind farm uncertainties," IEEE Trans. Power Syst., vol. 24, no. 3, pp. 1568-1576, Aug. 2009.
10. A. Ben-Tal and A. Nemirovski, "Robust convex optimization," Math. Oper. Res., vol. 23, no. 4, pp. 769-805, 1998.
11. D. Bertsimas, E. Litvinov, X. A. Sun, J. Zhao, and T. Zheng, "Adaptive robust optimization for the security constrained unit commitment problem," IEEE Trans. Power Syst., vol. 28, no. 1, pp. 52-63, Feb. 2013.
12. P. Wu, H. Cheng, and J. Xing, "The interval minimum load cutting problem in the process of transmission network expansion planning considering uncertainty in demand," IEEE Trans. Power Syst., vol. 23, no. 3, pp. 1497-1506, Aug. 2008.
13. H. Yu, C. Y. Chung, and K. P. Wong, "Robust transmission network expansion planning method with Taguchi's orthogonal array testing," IEEE Trans. Power Syst., vol. 26, no. 3, pp. 1573-1580, Aug. 2011.
14. A. Thiele, T. Terry, and M. Epelman, "Robust linear optimization with recourse," Mar. 2010. [Online]. Available: http://www. optimizationonline.org/DB-FILE/2009/03/2263.pdf
15. L. S. Lasdon, Optimization Theory for Large Systems . NewYork, NY, USA: Dover, 2002.
16. R. A. Jabr, "Optimization of AC transmission system planning," IEEE Trans. Power Syst., vol. PP, no. 99, 2012, DOI: 10.1109/TPWRS.2013. 2228507.
17. D. Bertsimas and M. Sim, "The price of robustness," Oper. Res., vol. 52, no. 1, pp. 35-53, Jan.-Feb. 2004.
18. R. E.Walpole and H. S. Myers, Probability and Statistics for Engineers and Scientists, 5th ed. New York, NY, USA: Macmillan, 1993.
19. IBM ILOG CPLEX. ver. 12.3 [Online]. Available: http://www-01.ibm.com/ software/integration/optimization/cplex-optimizer
20. R. D. Zimmerman, C. E. Murillo-Sánchez, and R. J. Thomas, "MATPOWER: Steady-state operations, planning, and analysis tools for power systems research and education," IEEE Trans. Power Syst., vol. 26, no. 1, pp. 12-19, Feb. 2011.
21. 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.
22. P. M. Subcommittee, "IEEE reliability test system," IEEE Trans. Power Appar. Syst., vol. PAS-98, no. 6, pp. 2047-2054, Nov. 1979.
23. C. Grigg, P. Wong, P. Albrecht, R. Allan, M. Bhavaraju, R. Billinton, Q. Chen, C. Fong, S. Haddad, S. Kuruganty, W. Li, R. Mukerji, D. Patton, N. Rau, D. Reppen, A. Schneider, M. Shahidehpour, and C. Singh, "The IEEE reliability test system-1996. A report prepared by the reliability test system task force of the application of probability methods subcommittee," IEEE Trans. Power Syst., vol. 14, no. 3, pp. 1010-1020, Aug. 1999.