Modeling a mixed-integer-binary small-population evolutionary particle swarm algorithm for solving the optimal power flow problem in electric power systems

Applied Soft Computing Journal

Volumn 13, Issue 9, 2013, Pages 3839-3852

  Hinojosa, V H ^a   Araya, R ^a  

^a DEPARTAMENTO DE FÍSICA   (Chile)

Author keywords

Correction operator; Evolutionary particle swarm optimization; Optimal power flow; Optimal reactive power flow; Sensitivity

Indexed keywords

ACOUSTIC GENERATORS; BINS; DECISION MAKING; ELECTRIC LOAD FLOW; ELECTRIC POWER SYSTEMS; EVOLUTIONARY ALGORITHMS; INTEGER PROGRAMMING; PARTICLE SWARM OPTIMIZATION (PSO); REACTIVE POWER;

CONSTRAINT-HANDLING TECHNIQUES; EVOLUTIONARY PARTICLE SWARM OPTIMIZATIONS; FEASIBLE SOLUTION SPACES; OPTIMAL POWER FLOW PROBLEM; OPTIMAL POWER FLOWS; OPTIMAL REACTIVE POWER FLOW; PARTICLE SWARM ALGORITHM; SENSITIVITY;

OPTIMIZATION;

EID: 84884418874     PISSN: 15684946     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.asoc.2013.05.005     Document Type: Article

References (65)

1. J. Carpentier, Contribution a l'Étude du Dispatching Économique, Bulletin Sociète Francaise des Électriciens 8 (1962) 431-447.
2. J. Momoh, R. Adapa, M. El-Hawary, A review of selected optimal power flow literature to 1993. I. Nonlinear and quadratic programming approaches, IEEE Transactions on Power Systems 14 (1993) 96-104.
3. A. Pizano, C.R. Fuerte, D. Ruiz, A new practical approach to transient stability-constrained optimal power flow, IEEE Transactions on Power Systems 26 (3) (2011) 1686-1696.
4. D.H. Kuo, A. Bose, A generation rescheduling method to increase dynamic security of power systems, IEEE Transactions on Power Systems 10 (1) (1995) 68-76.
5. J.A. Momoh, R.J. Koessler, M.S. Bond, B. Stott, D. Sun, A.D. Papalexopoulos, P. Ristanovic, Challenges to optimal power flow, IEEE Transactions on Power Systems 12 (1) (1997) 444-455.
6. A. Mohapatra, P.R. Bijwe, B.K. Panigrahi, Optimal power flow with multiple data uncertainties, Electric Power Systems Research 95 (2013) 160-167.
7. A. Khorsandi, S.H. Hosseinian, A. Ghazanfari, Modified artificial bee colony algorithm based on fuzzy multi-objective technique for optimal power flow problem, Electric Power Systems Research 95 (2013) 206-213.
8. A.J. Wood, B.F. Wollenberg, Power Generation, Operation and Control, John Wiley & Sons, 1996.
9. R. Mota-Palomino, V.H. Quintana, Sparse reactive power scheduling by a penalty-function linear programming technique, IEEE Transactions on Power Systems 1 (3) (1986) 31-39. (Pubitemid 16629601)
10. R.C. Burchett, H.H. Happ, D.R. Vierath, Quadratically convergent optimal power flow, IEEE Transactions on Power Apparatus and Systems PAS-103 (11) (1984) 3267-3276.
11. H. Dommel, W. Tinny, Optimal power flow solution, IEEE Transactions on Power Apparatus and Systems PAS-87 (10) (1968) 1866-1876.
12. D.I. Sun, B. Ashley, B. Brewer, A. Hughes, W.F. Tinney, Optimal power flow by Newton approach, IEEE Transactions on Power Apparatus and Systems PAS-103 (10) (1984) 2864-2875.
13. A. Santos, G.R.M. daCosta, Optimal power flow solution by Newton's method applied to an augmented Lagrangian function, IEE Proceedings - Generation, Transmission and Distribution 142 (1) (1995) 33-36.
14. F. Capitanescu, M. Glavic, D. Ernst, L. Wehenkel, Interior-point based algorithms for the solution of optimal power flow problems, Electric Power Systems Research 77 (2007) 508-517. (Pubitemid 46186805)
15. X. Yan, V.H. Quintana, Improving an interior point based OPF by dynamic adjustments of step sizes and tolerances, IEEE Transactions on Power Systems 14 (2) (1999) 709-717.
16. W.Q. Flueck, A.F. Tu, A new parallel algorithm for security constrained optimal power flow with a nonlinear interior point method, IEEE PES General Meeting 1 (2005) 447-453.
17. W.F. Tinney, J.M. Bright, K.D. Demaree, B.A. Hughes, Some deficiencies in optimal power flow, IEEE Transactions on Power Systems 3 (2) (1998) 676-683.
18. A.D. Papalexopoulos, C.F. Imparato, F.W. Wu, Large-scale optimal power flow: effects of initialization, decoupling and discretization, IEEE Transactions on Power Systems 4 (2) (1989) 748-759.
19. E. Liu, A.D. Papalexopoulos, W.F. Tinney, Discrete shunt controls in a Newton optimal power flow, IEEE Transactions on Power Systems 7 (4) (1992) 1509-1518.
20. M. Liu, S.K. Tso, Y. Cheng, An extended nonlinear primal-dual interior-point algorithm for reactive power optimization of large-scale power systems with discrete control variables, IEEE Transactions on Power Systems 17 (4) (2002) 982-991.
21. A.G. Bakirtzis, A.P. Meliopoulos, Incorporation of switching operations in power system corrective control computations, IEEE Transactions on Power Systems 2 (3) (1987) 669-676. (Pubitemid 17650997)
22. S.Y. Lin, Y.C. Ho, C.H. Lin, An ordinal optimization theory based algorithm for solving optimal power flow problem with discrete control variables, IEEE Transactions on Power Systems 19 (1) (2004) 276-286.
23. J. Lavaei, S.H. Low, Zero duality gap in optimal power flow problem, IEEE Transactions on Power Systems 27 (1) (2012) 92-107.
24. K. Aoki, M. Fan, A. Nishikori, Optimal var planning by approximation method for recursive mixed-integer linear programming, IEEE Transactions on Power Systems 3 (4) (1988) 1741-1747.
25. L. Liu, X. Wang, X. Ding, H. Chen, A robust approach to optimal power flow with discrete variables, IEEE Transactions on Power Systems 24 (3) (2009) 1182-1190.
26. A.G. Bakirtzis, P.N. Biskas, C.E. Zoumas, V. Petridis, Optimal power flow by enhanced genetic algorithm, IEEE Transactions on Power Systems 17 (1) (2002) 229-236. (Pubitemid 34741681)
27. L. Chen, H. Suzuki, K. Katou, V. Petridis, Mean-field theory for optimal power flow, IEEE Transactions on Power Systems 12 (4) (1997) 1481-1486. (Pubitemid 127771532)
28. T. Kulworawanichpong, S. Sujitjorn, Optimal power flow using tabu search, IEEE Power Engineering Review 22 (6) (2002) 37-40. (Pubitemid 34808352)
29. F. Capitanescu, L. Wehenkel, Sensitivity-based approaches for handling discrete variables in optimal power flow computations, IEEE Transactions on Power Systems 25 (4) (2010) 1780-1789.
30. L.L. Lai, J.T. Ma, Improved genetic algorithms for optimal power flow under both normal and contingent operation states, International Journal of Electrical Power & Energy System 19 (5) (1997) 287-292. (Pubitemid 127412160)
31. Q.H. Wu, Y.J. Cao, J.Y. Wen, Optimal reactive power dispatch using an adaptive genetic algorithm, International Journal of Electrical Power & Energy System 20 (8) (1998) 563-569. (Pubitemid 128420374)
32. P.N. Biskas, N.P. Ziogos, A. Tellidou, C.E. Zoumas, A.G. Bakirtzis, V. Petridis, Comparison of two metaheuristics with mathematical programming methods for the solution of OPF, IEE Proceedings - Generation, Transmission and Distribution 153 (1) (2006) 16-24. (Pubitemid 43205671)
33. M.A. Abido, Optimal power flow using particle swarm optimization, International Journal of Electrical Power & Energy Systems 24 (7) (2002) 563-571. (Pubitemid 34532350)
34. B. Zhao, C.X. Guo, Y.J. Cao, Improved particle swarm optimization algorithm for OPF problems, in: Proc. IEEE/PES Power Syst. Conf. Expo, 2004, pp. 233-238.
35. P. Oñate, J. Ramirez, C. Coello, Optimal power flow subject to security constraints solved with a particle swarm optimizer, IEEE Transactions on Power Systems 23 (2009) 96-104.
36. R.-H. Liang, S.-R. Tsai, Y.-T. Chen, W.-T. Tseng, Optimal power flow by a fuzzy based hybrid particle swarm optimization approach, Electric Power Systems Research 81 (7) (2011) 1466-1474.
37. J.G. Vlachogiannis, K.Y. Lee, A comparative study on particle swarm optimization for optimal steady-state performance of power systems, IEEE Transactions on Power Systems 21 (4) (2006) 1718-1728. (Pubitemid 46357772)
38. J.G. Vlachogiannis, K.Y. Lee, Coordinated aggregation particle swarm optimization applied in reactive power and voltage control, in: Proc. IEEE Power Eng. Soc. General Meeting, Montreal, QC, Canada, 2006, pp. 18-22.
39. Q.H. Wu, J.T. Ma, Power system optimal reactive dispatch using evolutionary programming, IEEE Transactions on Power Systems 10 (3) (1995) 1243-1249.
40. J. Yuryevich, K.P. Wong, Evolutionary programming based optimal power flow algorithm, IEEE Transactions on Power Systems 14 (4) (1999) 1245-1250. (Pubitemid 32082778)
41. S. Sivasubramani, K.S. Swarup, Multiagent based differential evolution approach to optimal power flow, Applied Soft Computing 12 (2) (2012) 735-740.
42. D. Datta, S. Dutta, A binary-real-coded differential evolution for unit commitment problem, International Journal of Electrical Power & Energy System 42 (1) (2012) 517-524.
43. A.A. Abou, M.A. Abido, S.R. Spea, Optimal power flow using differential evolution algorithm, Electric Power Systems Research 80 (2010) 878-885.
44. D. Simon, Biogeography-based optimization, IEEE Transactions on Evolutionary Computation 12 (6) (2008) 702-713.
45. Y. del Valle, G.K. Venayagamoorthy, S. Mohagheghi, J.C.H.R.G. Harley, Particle swarm optimization: basic concepts, variants and applications in power systems, IEEE Transactions on Evolutionary Computation 12 (2) (2008) 171-195. (Pubitemid 351546693)
46. V. Miranda, N. Fonseca, EPSO best of two worlds meta-heuristic applied to power system problems, Proceedings of the IEEE Congress on Evolutionary Computation 2 (2002) 1080-1085.
47. V. Miranda, N. Fonseca, EPSO evolutionary particle swarm optimization, a new algorithm with applications in power systems, in: IEEE/PES Transmission and Distribution Conf. Exhibition Asia Pacific, vol. 2, 2002, pp. 745-750.
48. V. Miranda, Evolutionary algorithms with particle swarm movements, in: Proc. 13th International Conference on Intelligent Systems Application to Power Systems, 2005, pp. 6-21.
49. V. Miranda, N.W. Oo, Evolutionary Algorithms and Evolutionary Particle Swarms (EPSO) in Modeling Evolving Energy Retailers, in Proc. of PSCC - 15th Power Systems Computation Conference, 2005.
50. V. Miranda, L. Magalhaes, M.A. de daRosa, A.M.L. daSilva, C. Singh, Improving power system reliability calculation efficiency with EPSO variants, IEEE Transactions on Power Systems 24 (2009) 1772-1779.
51. V.H. Hinojosa, C. Leyton, Short-term hydrothermal generation scheduling solved with a mixed-binary evolutionary particle swarm optimizer, Electric Power Systems Research 92 (2012) 162-170.
52. J. Inostroza, V.H. Hinojosa, Short-term scheduling solved with a particle swarm optimizer, IET Generation Transmission & Distribution 5 (11) (2011) 1091-1104.
53. D. Datta, J.R. Figueira, A real-integer-discrete-coded particle swarm optimization for design problems, Applied Soft Computing 11 (4) (2011) 3625-3633.
54. E. Laskari, K. Parsopoulos, M. Vrahatis, Particle swarm optimization for integer programming, Proceedings of the IEEE Congress on Evolutionary Computation 2 (2002) 1582-1587.
55. M. Clerc, Standard Particle Swarm Optimisation - From 2006 to 2011, ISTE (International Scientific and Technical Encyclopedia).
56. G.A. Bakare, G.K. Venayagamoorthy, U.O. Aliyu, Reactive power and voltage control of the Nigerian grid system using microgenetic algorithm, in: Proc. IEEE Power Eng. Soc. General Meeting, vol. 2, 2005, pp. 1916-1922.
57. T. Huang, A.S. Mohan, Micro-particle swarm optimizer for solving high dimensional optimization problems (uPSO for high dimensional optimization problems), Applied Mathematics and Computation 181 (2) (2006) 1148-1154. (Pubitemid 44646590)
58. J.C.F. Cabrera, C.A.C. Coello, Handling constraints in particle swarm optimization using a small population size, in: Proc. Advances in Artificial Intelligence (MICAI 2007), 2007, pp. 41-51.
59. T.K. Das, S.R. Jetti, G.K. Venayagamoorthy, Optimal design of a SVC controller using a small population based PSO, in: Proc. IEEE Swarm Intell. Symp., 2006, pp. 156-161.
60. T.K. Das, G.K. Venayagamoorthy, U.O. Aliyu, Bio-inspired algorithms for the design of multiple optimal power system stabilizers: SPPSO and BFA, IEEE Transactions on Industry Applications 44 (5) (2008) 1445-1457.
61. PSERC, Software MatPower, [on-line], 〈http://www.pserc.cornell.edu/ matpower/〉 [December 12, 2011].
62. Y. Fukuyama, H. Yoshida, A particle swarm optimization for reactive power and voltage control in electric power system, Proceedings of the IEEE Congress on Evolutionary Computation 1 (2001) 87-93. (Pubitemid 32806323)
63. M. Abido, J. Bakhashwain, A novel multiobjective evolutionary algorithm for optimal reactive power dispatch problem, in: Proceedings of the 2003 10th IEEE International Conference on Electronics, Circuits and Systems, vol. 3, no. 14-17, 2003, pp. 1054-1057.
64. P. Kundur, Power System Stability and Control, McGraw-Hill, Inc., 1994.
65. J.D. Glover, M.S. Sarma, T.J. Overbye, Power System Analysis and Design, Thomson, 2008.