Abstract
Economic dispatch (ED) ensures that the generation allocation to the power units is carried out such that the total fuel cost is minimized and all the operating equality/inequality constraints are satisfied. Classical ED does not take transmission constraints into consideration, but in the present restructured power systems the tie-line limits play a very important role in deciding operational policies. ED is a dynamic problem which is performed on-line in the central load dispatch centre with changing load scenarios. The dynamic multi-area ED (MAED) problem is more complex due to the additional tie-line, ramp-rate and area-wise power balance constraints. Nature inspired (NI) heuristic optimization methods are gaining popularity over the traditional methods for complex problems. This work presents the modified particle swarm optimization (PSO) based techniques where parameter automation is effectively used for improving the search efficiency by avoiding stagnation to a sub-optimal result. This work validates the performance of the PSO variants with traditional solver GAMS for single as well as multi-area economic dispatch (MAED) on three test cases of a large 140-unit standard test system having complex constraints.
Similar content being viewed by others
References
R.R. Shoults, S.K. Chang, S. Helmick, W.M. Grady, A practical approach to unit commitment, economic dispatch and savings allocation for multiple area pool operation with import/export constraints. IEEE Trans. Power Appar. Syst. 99(2), 625–635 (1980)
A.L. Desell, K. Tammar, E.C. McClelland, P.R. Van Home, Transmission constrained production cost analysis in power system planning. IEEE Trans. Power Appar. Syst. PAS-103(8), 2192–2198 (1984)
E.D. Farmer, M.J. Grubb, K. Vlahos, Probabilistic production costing of transmission-constrained power systems, in 10th PSCC Power System Computation Conference, pp. 663–669 (1990)
T. Yalcinoz, M.J. Short, Neural networks approach for solving economic dispatch problem with transmission capacity constraints. IEEE Trans. Power Syst. 13(2), 307–313 (1998)
K.W. Doty, P.L. McEntire, An analysis of electrical power brokerage systems. IEEE Trans. Power Appar. Syst. 101(2), 389–396 (1982)
S.D. Hemick, R.R. Shoults, A practical approach to an interim multi-area economic dispatch using limited computer resources. IEEE Trans. Power Appar. Syst. 104(6), 1400–1404 (1985)
C. Wang, S.M. Shahidehpour, A decomposition approach to non-linear multi-area generation scheduling with tie-line constraints using expert system. IEEE Trans. Power Appar. Syst. 7(4), 1409–1418 (1992)
K.T. Chaturvedi, M. Pandit, L. Srivastava, Self-organizing hierarchical particle swarm optimization for nonconvex economic dispatch. IEEE Trans. Power Syst. 23(3), 1079–1087 (2008)
J.B. Park, Y.W. Jeong, J.R. Shin, An improved particle swarm optimization for nonconvex economic dispatch problems. IEEE Trans. Power Syst. 25(1), 156–166 (2010)
M. Sharma, M. Pandit, L. Srivastava, Reserve constrained multi-area economic dispatch employing differential evolution with time-varying mutation. Int. J. Electr. Power Energy Syst. 33(3), 753–766 (2011)
B.K. Panigrahi, V.R. Pandi, Bacterial foraging optimisation: Nelder–Mead hybrid algorithm for economic load dispatch. IET Gener. Transm. Distrib. 2(4), 556–565 (2008)
N. Pandit, A. Tripathi, S. Tapaswi, M. Pandit, An improved bacterial foraging algorithm for combined static/dynamic environmental economic dispatch. Appl. Soft Comput. 12(11), 3500–3513 (2012)
A. Bhattacharya, P.K. Chattopadhyay, Biogeography-based optimization for different economic load dispatch problems. IEEE Trans. Power Syst. 25(2), 1064–1077 (2010)
M. Basu, Artificial bee colony optimization for multi-area economic dispatch. Int. J. Electr. Power Energy Syst. 49, 181–187 (2013)
M. Moradi-Dalvand, B. Mohammadi-Ivatloo, A. Najafi, A. Rabiee, Continuous quick group search optimizer for solving non-convex economic dispatch problems. Electr. Power Syst. Res. 93, 93–105 (2012)
I. Ciornei, E. Kyriakides, A GA-API solution for the economic dispatch of generation in power system operation, in IEEE Transactions on Power Systems, vol. 27(1), February 2012
M. Pandit, L. Srivastava, M. Sharma, H.M. Dubey, B.K. Panigrahi, Large scale multi-zone optimal power dispatch using hybrid hierarchical evolution technique. IET J Eng IET. Digital Library, pp. 2051–3305. doi:10.1049/joe.2013.0262
L.D.S. Coelho, T.C. Bora, V.C. Mariani, Differential evolution based on truncated Lévy-type flights and population diversity measure to solve economic load dispatch problems. Int. J. Electr. Power Energy Syst. 57, 178–188 (2014)
M.A. Abido, Environmental/economic power dispatch using multiobjective evolutionary algorithms. IEEE Trans. Power Syst. 18, 1529–1537 (2003)
M.A. Abido, A novel multiobjective evolutionary algorithm for environmental/economic power dispatch. Electr. Power Syst. Res. 65, 71–81 (2003)
B. Gjorgiev, M. Cepin, A multi-objective optimization based solution for the combined economic-environmental power dispatch problem. Eng. Appl. Artif. Intell. 26(1), 417–429 (2013)
B. Gjorgiev, D. Kancev, M. Cepin, A new model for optimal generation scheduling of power system considering generation units availability. Int. J. Electr. Power Energy Syst. 47, 129–139 (2013)
D. Bisen, H.M. Dubey, M. Pandit, B.K. Panigrahi, Solution of large scale economic load dispatch problem using quadratic programming and GAMS: a comparative analysis. J. Inf. Comput. Sci. 7(3), 200–211 (2012)
A.J. Wood, B.F. Wollenberg, Power Generation, Operation and Control (Wiley, New York, 1984)
J. Kennedy, R. Eberhart, Particle swarm optimization, in Proceedings of the IEEE Conference on Neural Networks (ICNN’95), vol. IV, Perth, Australia, 1942–48, 1995
A. Ratnaweera, S.K. Halgamuge, H.C. Watson, Self-organizing hierarchical Particle swarm optimizer with time varying acceleration coefficients. IEEE Trans. Evol. Comput. 8(3), 240–255 (2004)
Acknowledgment
The authors sincerely acknowledge the financial support provided by University Grant Commission (UGC), New Delhi, India under major research project entitled Power System Optimization and Security Assessment using Soft Computing Techniques, vide F No. 34-399/2008 (SR) dated, December 24, 2008. The authors also thank Madhav Institute of Technology and Science, Gwalior for providing facilities for carrying out this work. The first author acknowledges UGC research award for post doctoral work sanctioned by UGC, New Delhi vide letter no. F-30-120(SC)/2009 (SA-II).
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Pandit, M., Jain, K., Dubey, H.M. et al. Large Scale Multi-area Static/Dynamic Economic Dispatch using Nature Inspired Optimization. J. Inst. Eng. India Ser. B 98, 221–229 (2017). https://doi.org/10.1007/s40031-016-0248-2
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s40031-016-0248-2