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Economic-emission Dispatch With Semidefinite Programming And Rational Function Approximations

Journal Article


Abstract


  • The emission function associated with the economic-emission dispatch prob-

    lem contains exponential functions that model the emission pollutants. This paper

    presents a strategy of solving the economic-emission dispatch problem whereby the ex-

    ponential function is approximated by a rational function that permits reduction to

    a standard polynomial optimization problem. This is reformulated as a hierarchy of

    semidefinite relaxation problems using the moment theory and the resulting SDP prob-

    lem is solved. Different degrees of rational functional approximation were considered.

    The approach was tested on the IEEE 30-bus test systems to investigate its effectiveness.

    Solutions obtained were compared with those from some of the well known evolutionary

    methods. Results showed that SDP has inherently good convergence property and a

    lower but comparable diversity property.

Publication Date


  • 2017

Citation


  • Jubril, A. M. & Ogunbona, P. O. (2017). Economic-emission Dispatch With Semidefinite Programming And Rational Function Approximations. Facta Universitatis-series Mathematics And Informatics, 32 (5), 565-582.

Number Of Pages


  • 17

Start Page


  • 565

End Page


  • 582

Volume


  • 32

Issue


  • 5

Place Of Publication


  • Serbia

Abstract


  • The emission function associated with the economic-emission dispatch prob-

    lem contains exponential functions that model the emission pollutants. This paper

    presents a strategy of solving the economic-emission dispatch problem whereby the ex-

    ponential function is approximated by a rational function that permits reduction to

    a standard polynomial optimization problem. This is reformulated as a hierarchy of

    semidefinite relaxation problems using the moment theory and the resulting SDP prob-

    lem is solved. Different degrees of rational functional approximation were considered.

    The approach was tested on the IEEE 30-bus test systems to investigate its effectiveness.

    Solutions obtained were compared with those from some of the well known evolutionary

    methods. Results showed that SDP has inherently good convergence property and a

    lower but comparable diversity property.

Publication Date


  • 2017

Citation


  • Jubril, A. M. & Ogunbona, P. O. (2017). Economic-emission Dispatch With Semidefinite Programming And Rational Function Approximations. Facta Universitatis-series Mathematics And Informatics, 32 (5), 565-582.

Number Of Pages


  • 17

Start Page


  • 565

End Page


  • 582

Volume


  • 32

Issue


  • 5

Place Of Publication


  • Serbia