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Economic-emission dispatch problem: A semi-definite programming approach

Journal Article


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Abstract


  • A semi-definite programming (SDP) formulation of the multi-objective economic-emission dispatch

    problem is presented. The fuel cost and emission functions are represented by high order polynomial

    functions and this was shown to be a more accurate representation of the economic-emission dispatch

    (EED) problem. Furthermore, the polynomial functions of both objective functions are aggregated into a

    single objective function using the weighted sum approach. This thus reduces the problem to a standard

    polynomial optimization problem which was formulated as a hierarchy of semi-definite relaxation

    problems. The resulting SDP problem was then solved at different degrees of approximation. The

    performance of the proposed approach was evaluated by conducting experiments on the standard 6-unit

    and the 13-unit IEEE test systems. The results obtained were compared with those reported in the

    literature and indicated that SDP has inherently good convergence property and provides better

    exploration of the Pareto front.

Authors


  •   Jubril, A M. (external author)
  •   Olaniyan, O A. (external author)
  •   Komolafe, O A. (external author)
  •   Ogunbona, Philip O.

Publication Date


  • 2014

Citation


  • Jubril, A. M., Olaniyan, O. A., Komolafe, O. A. & Ogunbona, P. O. (2014). Economic-emission dispatch problem: A semi-definite programming approach. Applied Energy, 134 446-455.

Scopus Eid


  • 2-s2.0-84906875478

Ro Full-text Url


  • http://ro.uow.edu.au/cgi/viewcontent.cgi?article=4097&context=eispapers

Ro Metadata Url


  • http://ro.uow.edu.au/eispapers/3081

Has Global Citation Frequency


Number Of Pages


  • 9

Start Page


  • 446

End Page


  • 455

Volume


  • 134

Place Of Publication


  • United Kingdom

Abstract


  • A semi-definite programming (SDP) formulation of the multi-objective economic-emission dispatch

    problem is presented. The fuel cost and emission functions are represented by high order polynomial

    functions and this was shown to be a more accurate representation of the economic-emission dispatch

    (EED) problem. Furthermore, the polynomial functions of both objective functions are aggregated into a

    single objective function using the weighted sum approach. This thus reduces the problem to a standard

    polynomial optimization problem which was formulated as a hierarchy of semi-definite relaxation

    problems. The resulting SDP problem was then solved at different degrees of approximation. The

    performance of the proposed approach was evaluated by conducting experiments on the standard 6-unit

    and the 13-unit IEEE test systems. The results obtained were compared with those reported in the

    literature and indicated that SDP has inherently good convergence property and provides better

    exploration of the Pareto front.

Authors


  •   Jubril, A M. (external author)
  •   Olaniyan, O A. (external author)
  •   Komolafe, O A. (external author)
  •   Ogunbona, Philip O.

Publication Date


  • 2014

Citation


  • Jubril, A. M., Olaniyan, O. A., Komolafe, O. A. & Ogunbona, P. O. (2014). Economic-emission dispatch problem: A semi-definite programming approach. Applied Energy, 134 446-455.

Scopus Eid


  • 2-s2.0-84906875478

Ro Full-text Url


  • http://ro.uow.edu.au/cgi/viewcontent.cgi?article=4097&context=eispapers

Ro Metadata Url


  • http://ro.uow.edu.au/eispapers/3081

Has Global Citation Frequency


Number Of Pages


  • 9

Start Page


  • 446

End Page


  • 455

Volume


  • 134

Place Of Publication


  • United Kingdom