Optimal placement of capacitors in a radial network using conic and mixed integer linear programming

Electric Power Systems Research

Volumn 78, Issue 6, 2008, Pages 941-948

  Jabr, R A ^a  

^a NOTRE DAME UNIVERSITY   (Lebanon)

Author keywords

Capacitor compensated distribution lines; Mixed integer linear programming; Nonlinear programming; Optimization methods; Reactive power control

Indexed keywords

ELECTRIC POWER DISTRIBUTION; ENERGY DISSIPATION; LINEAR PROGRAMMING; OPTIMIZATION; POWER CONTROL; REACTIVE POWER;

CAPACITOR COMPENSATED DISTRIBUTION LINES; CONIC PROGRAMMING SOLVER; MIXED INTEGER LINEAR PROGRAMMING; REACTIVE POWER CONTROL;

CAPACITORS;

EID: 40949138242     PISSN: 03787796     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.epsr.2007.07.002     Document Type: Article

References (23)

1. Miller R.H., and Malinowski J.H. Power System Operation. 3rd ed. (1994), McGraw Hill, Boston pp. 58-60
2. Ng H.N., Salama M.M.A., and Chikhani A.Y. Classification of capacitor allocation techniques. IEEE Trans. Power Deliv. 15 (2000) 387-392
3. Grainger J.J., and Lee S.H. Capacity release by shunt capacitor placement on distribution feeders: a new voltage dependent model. IEEE Trans. Power App. Syst. 101 (1982) 1236-1244
4. Baran M.E., and Wu F.F. Optimal capacitor placement on radial distribution systems. IEEE Trans. Power Deliv. 4 (1989) 725-734
5. R.S. Aguiar, P. Cuervo, Capacitor placement in radial distribution networks through a linear deterministic optimization model, 15th Power Systems Computation Conference, Liege, Belgium, August 22-26, 2005. Available: http://www.montefiore.ulg.ac.be/services/stochastic/pscc05/papers/fp42.p df.
6. de la Torre S., and Galiana F.D. On the convexity of the system loss function. IEEE Trans. Power Syst. 20 (2005) 2061-2069
7. Gallego R.A., Monticelli A.J., and Romero R. Optimal capacitor placement in radial distribution networks. IEEE Trans. Power Syst. 16 (2001) 630-637
8. Devlin K. The Millennium Problems - The Seven Greatest Unsolved Mathematical Puzzles of Our Time (2002), Granata Books, London pp.105-129
9. Chiang H.-D., Wang J.-C., and Cockings O. Optimal capacitor placements in distribution systems - Part 2: solution algorithms and numerical results. IEEE Trans. Power Deliv. 5 (1990) 643-649
10. Sundhararajan S., and Pahwa A. Optimal selection of capacitors for radial distribution systems using a genetic algorithm. IEEE Trans. Power Syst. 9 (1994) 1499-1507
11. Huang Y.-C., Yang H.-T., and Huang C.-L. Solving the capacitor placement problem in a radial distribution system using tabu search approach. IEEE Trans. Power Syst. 11 (1996) 1868-1873
12. Huang S.-J. An immune-based optimization method to capacitor placement in a radial distribution system. IEEE Trans. Power Deliv. 15 (2000) 744-749
13. de Souza B.A., do Nascimento Alves H., and Ferreira H.A. Microgenetic algorithms and fuzzy logic applied to the optimal placement of capacitor banks in distribution networks. IEEE Trans. Power Syst. 19 (2004) 942-947
14. Chiou J.-P., Chang C.-F., and Su C.-T. Ant direction hybrid differential evolution for solving large scale capacitor placement problems. IEEE Trans. Power Syst. 19 (2004) 1794-1800
15. Mendes A., França P.M., Lyra C., Pissarra C., and Cavellucci C. Capacitor placement in large-sized radial distribution networks. IEE Proc. Gener. Transm. Distrib. 152 (2005) 496-502
16. Chiou J.P., Chang C.-F., and Su C.-T. Capacitor placement in large-scale distribution systems using variable scaling hybrid differential evolution. Elec. Power Energy Syst. 28 (2006) 739-745
17. Jabr R.A. Radial distribution load flow using conic programming. IEEE Trans. Power Syst. 21 (2006) 1458-1459
18. The MOSEK optimization tools version 3.2 (revision 8), MOSEK ApS, Denmark. Available: http://www.mosek.com.
19. E.D. Andersen, C. Roos, T. Terlaky, On implementing a primal-dual interior-point method for conic quadratic optimization, Optimization Online (2000). Available: http://www.optimization-online.org/DB_HTML/2000/12/245.html.
20. Liu W.-H.E., Papalexopoulos A.D., and Tinney W.F. Discrete shunt controls in an Newton optimal power flow. IEEE Trans. Power Syst. 7 (1992) 1509-1518
21. Cespedes R. New method for the analysis of distribution networks. IEEE Trans. Power Deliv. 5 (1990) 391-396
22. Baghzouz Y., and Ertem S. Shunt capacitor placement for radial distribution feeders with distorted substation voltages. IEEE Trans. Power Deliv. 5 (1990) 650-657
23. Chis M., Salama M.M.A., and Jayaram S. Capacitor placement in distribution systems using heuristic search strategies. IEE Proc. Gener. Transm. Distrib. 44 (1997) 225-230