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Semidefinite programming solution of economic dispatch problem with non-smooth, non-convex cost functions

Journal Article


Abstract


  • The paper presents a solution to economic dispatch (ED) problems with non-convex, non-smooth fuel cost functions, which characterize practical generating units. A method involving a unified semidefinite programming (SDP) formulation of different ED problems through cost function decomposition was presented. The solution of the resulting rank-relaxed SDP problem was refined to achieve the rank constraint using the method of convex iteration and branch-and-bound technique. The SDP method was investigated on some test problems in the literature. The results showed that the SDP method compared favorably with other methods, and can efficiently solve non-convex and non-smooth ED problems.

Authors


  •   Alawode, K (external author)
  •   Jubril, Abimbola (external author)
  •   Kehinde, L (external author)
  •   Ogunbona, Philip O.

Publication Date


  • 2018

Citation


  • Alawode, K. O., Jubril, A. M., Kehinde, L. O. & Ogunbona, P. O. (2018). Semidefinite programming solution of economic dispatch problem with non-smooth, non-convex cost functions. Electric Power Systems Research, 164 178-187.

Scopus Eid


  • 2-s2.0-85051676837

Ro Metadata Url


  • http://ro.uow.edu.au/eispapers1/2164

Number Of Pages


  • 9

Start Page


  • 178

End Page


  • 187

Volume


  • 164

Place Of Publication


  • Netherlands

Abstract


  • The paper presents a solution to economic dispatch (ED) problems with non-convex, non-smooth fuel cost functions, which characterize practical generating units. A method involving a unified semidefinite programming (SDP) formulation of different ED problems through cost function decomposition was presented. The solution of the resulting rank-relaxed SDP problem was refined to achieve the rank constraint using the method of convex iteration and branch-and-bound technique. The SDP method was investigated on some test problems in the literature. The results showed that the SDP method compared favorably with other methods, and can efficiently solve non-convex and non-smooth ED problems.

Authors


  •   Alawode, K (external author)
  •   Jubril, Abimbola (external author)
  •   Kehinde, L (external author)
  •   Ogunbona, Philip O.

Publication Date


  • 2018

Citation


  • Alawode, K. O., Jubril, A. M., Kehinde, L. O. & Ogunbona, P. O. (2018). Semidefinite programming solution of economic dispatch problem with non-smooth, non-convex cost functions. Electric Power Systems Research, 164 178-187.

Scopus Eid


  • 2-s2.0-85051676837

Ro Metadata Url


  • http://ro.uow.edu.au/eispapers1/2164

Number Of Pages


  • 9

Start Page


  • 178

End Page


  • 187

Volume


  • 164

Place Of Publication


  • Netherlands