A multi-stage stochastic non-linear model for reactive power planning under contingencies

IEEE Transactions on Power Systems

Volumn 28, Issue 2, 2013, Pages 1503-1514

  López, Julio Ceśar ^a   Contreras, Javier ^b   Mũnoz, José I ^b   Mantovani, J R S ^a  

^a SÃO PAULO STATE UNIVERSITY UNESP   (Brazil)

^b UNIVERSITY OF CASTILLA LA MANCHA   (Spain)

Author keywords

Contingencies; Expected benefits; Multi stage; Reactive power planning; Scenario tree; Stochastic programming; Uncertainty modeling

Indexed keywords

CONTINGENCIES; EXPECTED BENEFITS; MULTI-STAGE; REACTIVE POWER PLANNING; SCENARIO TREE; UNCERTAINTY MODELING;

COSTS; DECISION TREES; ELECTRIC LOAD SHEDDING; INVESTMENTS; STOCHASTIC PROGRAMMING; STOCHASTIC SYSTEMS; UNCERTAINTY ANALYSIS;

REACTIVE POWER;

EID: 84886390175     PISSN: 08858950     EISSN: None     Source Type: Journal    
DOI: 10.1109/TPWRS.2012.2226250     Document Type: Article

References (35)

1. J. Mantovani, S. Modesto, and A. Garcia, "VAr planning using genetic algorithm and linear programming," Proc. Inst. Elect. Eng., Gen., Transm., Distrib., vol. 148, no. 3, pp. 257-262, May 2001.
2. R. Keypour and H. Sharifzadeh, "A comparative study on performance of metaheuristics optimization methods for optimal var sizing and allocation," in Proc. 2010 IEEE Region 8 Int. Conf. Computational Technologies in Electrical and Electronics Engineering (SIBIRCON), Jul. 2010, pp. 777-782.
3. K. Nara and H. Hu, "A reactive power resource planning method by tabu search in competitive markets," in Proc. Int. Conf. Power System Technology, 2000 (PowerCon 2000), 2000, vol. 2, pp. 1089-1094.
4. P. Rajkumar and D. Devaraj, "Adaptive particle swarm optimization approach for optimal reactive power planning," in Proc. Joint Int. Conf. Power System Technology and IEEE Power India Conf., 2008 (POWERCON 2008), Oct. 2008, pp. 1-7.
5. H. Keko, A. Duque, and V. Miranda, "A multiple scenario security constrained reactive power planning tool using EPSO," in Proc. Int. Conf. Intelligent Systems Applications to Power Systems, 2007 (ISAP 2007), Nov. 2007, pp. 1-6.
6. N. Yang, C. Yu, F. Wen, and C. Chung, "An investigation of reactive power planning based on chance constrained programming," Int. J. Elect. Power Energy Syst., vol. 29, no. 9, pp. 650-656, 2007.
7. J. Mantovani and A. Garcia, "A heuristic method for reactive power planning," IEEE Trans. Power Syst., vol. 11, no. 1, pp. 68-74, Feb. 1996.
8. M. Delfanti, G. Granelli, P. Marannino, and M. Montagna, "Optimal capacitor placement using deterministic and genetic algorithms," IEEE Trans. Power Syst., vol. 15, no. 3, pp. 1041-1046, Aug. 2000.
9. B. Venkatesh, G. Sadasivam, and M. Khan, "Optimal reactive power planning against voltage collapse using the successive multiobjective fuzzy LP technique," Proc. Inst. Elect. Eng., Gen., Transm., Distrib., vol. 146, no. 4, pp. 343-348, Jul. 1999.
10. A. Papalexopoulos, C. Imparato, and F. Wu, "Large-scale optimal power flow: Effects of initialization, decoupling and discretization," IEEE Trans. Power Syst., vol. 4, no. 2, pp. 748-759, May 1989.
11. B. Kermanshahi, K. Takahashi, and Y. Zhou, "Optimal operation and allocation of reactive power resource considering static voltage stability," in Proc. 1998 Int. Conf. Power System Technology, 1998 (POWERCON' 98), Aug. 1998, vol. 2, pp. 1473-1477, vol. 2.
12. T. Van Cutsem, "A method to compute reactive power margins with respect to voltage collapse," IEEE Trans. Power Syst., vol. 6, no. 1, pp. 145-156, Feb. 1991.
13. S. Granville, M. Pereira, and A. Monticelli, "An integrated methodology for var sources planning," IEEE Trans. Power Syst., vol. 3, no. 2, pp. 549-557, May 1988.
14. K. Aoki, M. Fan, and A. Nishikori, "Optimal var planning by approximation method for recursivemixed-integer linear programming," IEEE Trans. Power Syst., vol. 3, no. 4, pp. 1741-1747, Nov. 1988.
15. M. K. Mangoli, K. Y. Lee, and Y. M. Park, "Optimal long-term reactive power planning using decomposition techniques," Elect. Power Syst. Res., vol. 26, no. 1, pp. 41-52, 1993.
16. T. Gómez, I. Pérez-Arriaga, J. Lumbreras, and V. Parra, "A security-constrained decomposition approach to optimal reactive power planning," IEEE Trans. Power Syst., vol. 6, no. 3, pp. 1069-1076, Aug. 1991.
17. K. Iba, H. Suzuki, K.-I. Suzuki, and K. Suzuki, "Practical reactive power allocation/operation planning using successive linear programming," IEEE Trans. Power Syst., vol. 3, no. 2, pp. 558-566, May 1988.
18. N. Deeb and S. Shahidehpour, "Cross decomposition for multi-area optimal reactive power planning," IEEE Trans. Power Syst., vol. 8, no. 4, pp. 1539-1544, Nov. 1993.
19. F. F. Wu, G. Gross, J. Luini, and P. M. Look, "A two-stage approach to solving large-scale optimal power flows," in Proc. IEEE Conf. Power Industry Computer Applications, 1979 (PICA-79), May 1979, pp. 126-136.
20. O. Crisan and M. Mohtadi, "Efficient identification of binding inequality constraints in optimal power flow newton approach," Proc. Inst. Elect. Eng., Gen., Transm., Distrib., vol. 139, no. 5, pp. 365-370, Sep. 1992.
21. A. S. Meliopoulos, V. Vittal, J. McCalley, V. Ajjarapu, and I. Hiskens, Optimal Allocation of Static and Dynamic var Resources, PSERC, Atlanta, GA, Final Project Report 08-06, Mar. 2008, 30332-0250.
22. J. Dupačová, G. Consigli, and S.W.Wallace, "Scenarios for multistage stochastic programs," Ann. Oper. Res., vol. 100, pp. 25-53, 2000.
23. M. Dempster, "Sequential importance sampling algorithms for dynamic stochastic programming," Ann. Oper. Res., vol. 84, pp. 153-184, 1998.
24. K. Hoyland and S. W. Wallace, "Generating scenario trees for multistage decision problems," Manage. Sci., vol. 47, no. 2, pp. 295-307, 2001.
25. M. Kaut and S. W. Wallace, "Evaluation of scenario-generation methods for stochastic programming," Pacific J. Optimiz., vol. 3, pp. 257-271, 2003.
26. J. R. Birge and F. Louveaux, Introduction to Stochastic Programming, ser. Springer Series in Operations Research and Financial Engineering. New York: Springer, Jul. 1997.
27. N. Gröwe-kuska, H. Heitsch, and W. Römisch, "Scenario reduction and scenario tree construction for power management problems," in Proc. Power Management Problems, IEEE Bologna Power Tech, 2003.
28. S. Manandhar, A. Tarim, and T. Walsh, Scenario-Based Stochastic Constraint Programming. San Francisco, CA: Morgan Kaufmann, 2003, pp. 257-262.
29. L. F. Escudero, A. Garín, M. Merino, and G. Pérez, "The value of the stochastic solution in multistage problems," TOP, vol. 15, no. 1, pp. 48-64, 2007.
30. K. Mamandur and R. Chenoweth, "Optimal control of reactive power flow for improvements in voltage profiles and for real power loss minimization," IEEE Trans. Power App. Syst., vol. PAS-100, no. 7, pp. 3185-3194, Jul. 1981.
31. "Power systems test case archive," Department of Electrical Engineering, University of Washington. [Online]. Available: http://www.ee. washington.edu/research/pstca.
32. R. H. Byrd, J. Nocedal, and R. A. Waltz, "Knitro: An integrated package for nonlinear optimization," in Large Scale Nonlinear Optimization. New York: Springer-Verlag, 2006, pp. 35-59.
33. R. Fourer, D. M. Gay, and B. W. Kernighan, AMPL: A Modeling Language for Mathematical Programming. Pacific Grove, CA: Duxbury, Nov. 2002.
34. K. Habour and D. O'Leary, "FACTS for cost effective and reliable transmission of electrical energy," Power Transmission and Distribution Group, pp. 1-11, Siemens, Germany.
35. S. Rüberg, H. Ferreira, A. L'Abbate, U. Häger, G. Fulli, Y. Li, and J. Schwippe, "Improving network controllability by flexible alternating current transmission system (FACTS) and by high voltage direct current (HVDC) transmission systems," Technical University Dortmund, EU 7th Framework Programme, REALISEGRID Project Deliverable D1.2.1, Project no. 219123, Sep. 2008. [Online]. Available: http://realisegrid.rse-web.it/ Publications-and-results.asp.