| Peer-Reviewed

Multi Objective Dynamic Economic Dispatch with Cubic Cost Functions

Received: 16 April 2015     Accepted: 29 April 2015     Published: 15 May 2015
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Abstract

The formulation and solution of the Dynamic Economic Dispatch (DED) problem is one of the key disciplines in modern power system operation, planning, operation and control. Past researches have considered DED on Quadratic Cost Functions (QCF), with only few works considering higher order cost functions which are more accurate. The Static Economic Dispatch (SED) has been widely tackled in past researches, however, it is the DED problem that represents a real life power system. There is need to review this problem and establish a more practical formulation of the same taking into consideration all the objectives and constraints possible. The methods used in the solution of DED problem have evolved from the traditional deterministic ones, to the pure heuristic, and finally to the state of the heart hybrids. The hybrids methods have been developed to exalt the strengths and improve the weaknesses of the base method. Such optimisation methods need to be reviewed and classified. This paper will do an in depth review of the DED problem on both quadratic and cubic cost functions. Further it will provide a detailed classification of the methods used to solve the problem as its complexity increases. Consequently, three method Hybrids is the way go as far as the solution of the cubic Multi Objective DED (MODED) with five objectives is concerned.

Published in International Journal of Energy and Power Engineering (Volume 4, Issue 3)
DOI 10.11648/j.ijepe.20150403.14
Page(s) 153-167
Creative Commons

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), 2015. Published by Science Publishing Group

Keywords

Cubic Cost Functions (CCF), Dynamic Economic Dispatch (DED), Hybrid Methods, Multi Objective DED (MODED)

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Cite This Article
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    Moses Peter Musau, Nicodemus Odero Abungu, Cyrus Wabuge Wekesa. (2015). Multi Objective Dynamic Economic Dispatch with Cubic Cost Functions. International Journal of Energy and Power Engineering, 4(3), 153-167. https://doi.org/10.11648/j.ijepe.20150403.14

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    ACS Style

    Moses Peter Musau; Nicodemus Odero Abungu; Cyrus Wabuge Wekesa. Multi Objective Dynamic Economic Dispatch with Cubic Cost Functions. Int. J. Energy Power Eng. 2015, 4(3), 153-167. doi: 10.11648/j.ijepe.20150403.14

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    AMA Style

    Moses Peter Musau, Nicodemus Odero Abungu, Cyrus Wabuge Wekesa. Multi Objective Dynamic Economic Dispatch with Cubic Cost Functions. Int J Energy Power Eng. 2015;4(3):153-167. doi: 10.11648/j.ijepe.20150403.14

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  • @article{10.11648/j.ijepe.20150403.14,
      author = {Moses Peter Musau and Nicodemus Odero Abungu and Cyrus Wabuge Wekesa},
      title = {Multi Objective Dynamic Economic Dispatch with Cubic Cost Functions},
      journal = {International Journal of Energy and Power Engineering},
      volume = {4},
      number = {3},
      pages = {153-167},
      doi = {10.11648/j.ijepe.20150403.14},
      url = {https://doi.org/10.11648/j.ijepe.20150403.14},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijepe.20150403.14},
      abstract = {The formulation and solution of the Dynamic Economic Dispatch (DED) problem is one of the key disciplines in modern power system operation, planning, operation and control. Past researches have considered DED on Quadratic Cost Functions (QCF), with only few works considering higher order cost functions which are more accurate. The Static Economic Dispatch (SED) has been widely tackled in past researches, however, it is the DED problem that represents a real life power system. There is need to review this problem and establish a more practical formulation of the same taking into consideration all the objectives and constraints possible. The methods used in the solution of DED problem have evolved from the traditional deterministic ones, to the pure heuristic, and finally to the state of the heart hybrids. The hybrids methods have been developed to exalt the strengths and improve the weaknesses of the base method. Such optimisation methods need to be reviewed and classified. This paper will do an in depth review of the DED problem on both quadratic and cubic cost functions. Further it will provide a detailed classification of the methods used to solve the problem as its complexity increases. Consequently, three method Hybrids is the way go as far as the solution of the cubic Multi Objective DED (MODED) with five objectives is concerned.},
     year = {2015}
    }
    

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  • TY  - JOUR
    T1  - Multi Objective Dynamic Economic Dispatch with Cubic Cost Functions
    AU  - Moses Peter Musau
    AU  - Nicodemus Odero Abungu
    AU  - Cyrus Wabuge Wekesa
    Y1  - 2015/05/15
    PY  - 2015
    N1  - https://doi.org/10.11648/j.ijepe.20150403.14
    DO  - 10.11648/j.ijepe.20150403.14
    T2  - International Journal of Energy and Power Engineering
    JF  - International Journal of Energy and Power Engineering
    JO  - International Journal of Energy and Power Engineering
    SP  - 153
    EP  - 167
    PB  - Science Publishing Group
    SN  - 2326-960X
    UR  - https://doi.org/10.11648/j.ijepe.20150403.14
    AB  - The formulation and solution of the Dynamic Economic Dispatch (DED) problem is one of the key disciplines in modern power system operation, planning, operation and control. Past researches have considered DED on Quadratic Cost Functions (QCF), with only few works considering higher order cost functions which are more accurate. The Static Economic Dispatch (SED) has been widely tackled in past researches, however, it is the DED problem that represents a real life power system. There is need to review this problem and establish a more practical formulation of the same taking into consideration all the objectives and constraints possible. The methods used in the solution of DED problem have evolved from the traditional deterministic ones, to the pure heuristic, and finally to the state of the heart hybrids. The hybrids methods have been developed to exalt the strengths and improve the weaknesses of the base method. Such optimisation methods need to be reviewed and classified. This paper will do an in depth review of the DED problem on both quadratic and cubic cost functions. Further it will provide a detailed classification of the methods used to solve the problem as its complexity increases. Consequently, three method Hybrids is the way go as far as the solution of the cubic Multi Objective DED (MODED) with five objectives is concerned.
    VL  - 4
    IS  - 3
    ER  - 

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Author Information
  • Department of Electrical and Information Engineering, School of Engineering, The University of Nairobi, Nairobi, Kenya

  • Department of Electrical and Information Engineering, School of Engineering, The University of Nairobi, Nairobi, Kenya

  • Department of Electrical and Information Engineering, School of Engineering, The University of Nairobi, Nairobi, Kenya

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