Abstract
This paper presents how the hierarchical decision structure can be effectively used for modeling and solving an environmental-economic thermal power generation and dispatch problems in a fuzzy decision environment. In the proposed approach, minimization of the functions of fuel-cost, environmental-emission and transmission-loss are considered at the three hierarchical levels to solve the problem within a power plant operational system. In the model formulation, a priority based linear fuzzy goal programming (LFGP) method is employed to achieve the highest membership value (unity) of the defined fuzzy goals to the extent possible on the basis of priorities in the decision making horizon. To illustrate the effective use of the approach, the problem of standard IEEE 6-Generator 30-Bus System is considered.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsReferences
Dommel, H.W., Tinney, W.F.: Optimal power flow solutions. IEEE Trans. Power Appar. Syst. 87, 1866–1876 (1968)
Happ, H.H.: Optimal power dispatch—a comprehensive survey. IEEE Trans. Power Appar. Syst. 96, 841–854 (1977)
Chowdhury, B.H., Rahman, H.: A review of recent advances in economic dispatch. IEEE Trans. Power Syst. 5, 1248–1258 (1990)
Ignizio, J.P.: Goal Programming and Extensions. D.C. Health and Company, Lexington (1976)
Simon, H.A.: Administrative behavior. Free Press, New York (1945)
Nanda, J., Kothari, D.P., Lingamurthy, K.S.: Economic-emission load dispatch through goal programming techniques. IEEE Trans. Energy Convers. 3, 26–32 (1988)
Bertsimas, D., Litvinov, E., Sun, X.A., Zhao, J., Zheng, T.: Adaptive robust optimization for the security constrained unit commitment problem. IEEE Trans. Power Syst. 28, 52–63 (2013)
Zhang, G., Zhang, G., Gao, Y., Lu, J.: Competitive strategic bidding optimization in electricity markets using bilevel programming and swarm technique. IEEE Trans. Ind. Electron. 58, 2138–2146 (2011)
Zimmermann, H.-J.: Fuzzy Sets, Decision Making and Expert Systems. Kluwer-Nijhoff Publishing, Dordrecht (1987)
Zadeh, L.A.: Fuzzy sets. Inf. Control 8, 338–353 (1965)
Wang, L.F., Singh, C.: Environmental/economic power dispatch using a fuzzified multi-objective particle swarm optimization algorithm. Electr. Power Syst. Res. 77, 1654–1664 (2007)
Pal, B.B., Moitra, B.N., Maulik, U.: A goal programming procedure for fuzzy multiobjective linear fractional programming problem. Fuzzy Sets Syst. 139, 395–405 (2003)
Kumar, M., Pal, B.B.: FGP Model for Emission-Economic Power Dispatch, pp. 936–950. Encyclopedia of Business Analytics and Optimization (2014)
Burton, R.M., Obel, B.: The multilevel approach to organizational issues of the firm-critical review. Omega 5, 395–413 (1977)
Zhang, G., Lu, J., Montero, J., Zeng, Y.: Model, solution concept, and Kth-best algorithm for linear trilevel programming. J. Inf. Sci. 180, 481–492 (2010)
Pal, B.B., Chakraborti, D.: Using genetic algorithm for solving quadratic bilevel programming problems via fuzzy goal programming. Int. J. Appl. Manage. Sci. 5, 172–195 (2013)
Abido, M.A.: Environmental/economic power dispatch using multiobjective evolutionary algorithms. IEEE Tran. Power Syst. 18, 1529–1537 (2003)
Odibat, Z.M., Shawagfeh, N.T.: Generalized Taylor’s formula. Appl. Math. Comp. 186, 286–293 (2007)
Pal, B.B., Moitra, B.N.: A goal programming procedure for solving problems with multiple fuzzy goals using dynamic programming. Euro. J. Oper. Res. 144, 480–491 (2003)
Abido, M.A.: Multiobjective evolutionary algorithms for electric power dispatch problem. IEEE Trans. Evol. Comp. 10, 315–329 (2006)
Abido, M.A.: A novel multiobjective evolutionary algorithm for environmental/economic power dispatch. Electr. Power Syst. Res. 65, 71–81 (2003)
Wua, L.H., Wanga, Y.N., Yuana, X.F., Zhoub, S.W.: Environmental/economic power dispatch problem using multi-objective differential evolution algorithm. Elec. Power Syst. Res. 80, 1171–1181 (2011)
Inuiguchi, M., Kume, Y.: Goal programming problems with interval coefficients and target intervals. Euro. J. Oper. Res. 52, 345–360 (1991)
Acknowledgments
The authors would like to thank the Editors and anonymous Reviewers for their useful suggestions for improving the quality of presentation of the paper.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2015 Springer India
About this paper
Cite this paper
Pal, B.B., Kumar, M. (2015). A Hierarchical Optimization Method to Solve Environmental-Economic Power Generation and Dispatch Problem with Fuzzy Data Uncertainty. In: Mandal, J., Satapathy, S., Kumar Sanyal, M., Sarkar, P., Mukhopadhyay, A. (eds) Information Systems Design and Intelligent Applications. Advances in Intelligent Systems and Computing, vol 339. Springer, New Delhi. https://doi.org/10.1007/978-81-322-2250-7_42
Download citation
DOI: https://doi.org/10.1007/978-81-322-2250-7_42
Published:
Publisher Name: Springer, New Delhi
Print ISBN: 978-81-322-2249-1
Online ISBN: 978-81-322-2250-7
eBook Packages: EngineeringEngineering (R0)