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Identifying a Satisfactory Operation Point for Fuzzy Multiobjective Environmental/Economic Dispatch Problem

Received: 7 October 2016     Accepted: 19 October 2016     Published: 9 November 2016
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Abstract

In this paper, reference point based neural network (NN) algorithm is proposed for solving fuzzy multiobjective environmental/economic dispatch problem (FM-EEDP). There are instabilities in the global market, implications of global financial crisis and the rapid fluctuations of prices, for this reasons a fuzzy representation of environmental/economic dispatch problem (EEDP) has been investigated. Our approach has two characteristic features. Firstly, FM-EEDP has been defuzzified. Secondly reference point based NN algorithm is implemented in such a way that the decision-maker (DM) participate early in the optimization process instead of leaving him/her alone with the final choice. The target is to identify the Pareto-optimal region closest to the DM preference so as to achieve the pollution limitations which controlled using environmental protection rules and to carry out the maximum cost limitation. Moreover to help the DM to identify the best compromise solution from a finite set of alternatives, TOPSIS (Technique for Order Performance by Similarity to Ideal Solution) method is implemented. On the basis of the application of the standard IEEE 30-bus 6-genrator test system, we can conclude that the proposed method can provide a sound optimal power flow by considering the multiobjective problem. Also, with a number of trade-off solutions in the region of interests, we proved that the DM able to make a better and more reliable decision.

Published in American Journal of Mathematical and Computer Modelling (Volume 1, Issue 1)
DOI 10.11648/j.ajmcm.20160101.11
Page(s) 1-14
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This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2016. Published by Science Publishing Group

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Keywords

Environmental/Economic Dispatch Problem, Neural Network, Reference Point, Fuzzy Numbers, TOPSIS Method

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  • APA Style

    A. A. Mousa, M. A. El-Shorbagy. (2016). Identifying a Satisfactory Operation Point for Fuzzy Multiobjective Environmental/Economic Dispatch Problem. American Journal of Mathematical and Computer Modelling, 1(1), 1-14. https://doi.org/10.11648/j.ajmcm.20160101.11

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    ACS Style

    A. A. Mousa; M. A. El-Shorbagy. Identifying a Satisfactory Operation Point for Fuzzy Multiobjective Environmental/Economic Dispatch Problem. Am. J. Math. Comput. Model. 2016, 1(1), 1-14. doi: 10.11648/j.ajmcm.20160101.11

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    AMA Style

    A. A. Mousa, M. A. El-Shorbagy. Identifying a Satisfactory Operation Point for Fuzzy Multiobjective Environmental/Economic Dispatch Problem. Am J Math Comput Model. 2016;1(1):1-14. doi: 10.11648/j.ajmcm.20160101.11

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  • @article{10.11648/j.ajmcm.20160101.11,
      author = {A. A. Mousa and M. A. El-Shorbagy},
      title = {Identifying a Satisfactory Operation Point for Fuzzy Multiobjective Environmental/Economic Dispatch Problem},
      journal = {American Journal of Mathematical and Computer Modelling},
      volume = {1},
      number = {1},
      pages = {1-14},
      doi = {10.11648/j.ajmcm.20160101.11},
      url = {https://doi.org/10.11648/j.ajmcm.20160101.11},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajmcm.20160101.11},
      abstract = {In this paper, reference point based neural network (NN) algorithm is proposed for solving fuzzy multiobjective environmental/economic dispatch problem (FM-EEDP). There are instabilities in the global market, implications of global financial crisis and the rapid fluctuations of prices, for this reasons a fuzzy representation of environmental/economic dispatch problem (EEDP) has been investigated. Our approach has two characteristic features. Firstly, FM-EEDP has been defuzzified. Secondly reference point based NN algorithm is implemented in such a way that the decision-maker (DM) participate early in the optimization process instead of leaving him/her alone with the final choice. The target is to identify the Pareto-optimal region closest to the DM preference so as to achieve the pollution limitations which controlled using environmental protection rules and to carry out the maximum cost limitation. Moreover to help the DM to identify the best compromise solution from a finite set of alternatives, TOPSIS (Technique for Order Performance by Similarity to Ideal Solution) method is implemented. On the basis of the application of the standard IEEE 30-bus 6-genrator test system, we can conclude that the proposed method can provide a sound optimal power flow by considering the multiobjective problem. Also, with a number of trade-off solutions in the region of interests, we proved that the DM able to make a better and more reliable decision.},
     year = {2016}
    }
    

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    AU  - A. A. Mousa
    AU  - M. A. El-Shorbagy
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    T2  - American Journal of Mathematical and Computer Modelling
    JF  - American Journal of Mathematical and Computer Modelling
    JO  - American Journal of Mathematical and Computer Modelling
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    AB  - In this paper, reference point based neural network (NN) algorithm is proposed for solving fuzzy multiobjective environmental/economic dispatch problem (FM-EEDP). There are instabilities in the global market, implications of global financial crisis and the rapid fluctuations of prices, for this reasons a fuzzy representation of environmental/economic dispatch problem (EEDP) has been investigated. Our approach has two characteristic features. Firstly, FM-EEDP has been defuzzified. Secondly reference point based NN algorithm is implemented in such a way that the decision-maker (DM) participate early in the optimization process instead of leaving him/her alone with the final choice. The target is to identify the Pareto-optimal region closest to the DM preference so as to achieve the pollution limitations which controlled using environmental protection rules and to carry out the maximum cost limitation. Moreover to help the DM to identify the best compromise solution from a finite set of alternatives, TOPSIS (Technique for Order Performance by Similarity to Ideal Solution) method is implemented. On the basis of the application of the standard IEEE 30-bus 6-genrator test system, we can conclude that the proposed method can provide a sound optimal power flow by considering the multiobjective problem. Also, with a number of trade-off solutions in the region of interests, we proved that the DM able to make a better and more reliable decision.
    VL  - 1
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Author Information
  • Department of Basic Engineering Science, Faculty of Engineering, Menoufia University, Shebin El-Koum, Egypt

  • Department of Mathematics and Statistics, Faculty of Sciences, Taif University, Taif, Saudi Arabia

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