Economic heat and power dispatch in modern power system harmony search algorithm versus analytical solution

A comparative meta-heuristic and mathematical optimization approach is addressed in thispaper to illustrate the weakness and strength of these optimization techniques in solving a large-scaleoptimization problem. harmony search algorithm (hsa) is selected as a meta-heuristic and combinedciplex with minos under generalized algebraic modeling system (gams) as mathematical ones.combined heat and power economic dispatch (chp-edc) is considered in this paper as an aforementionedlarge-scale optimization task which has a convex nonlinear optimization model. three types of thermalunits are considered co-generation units, electrical only and heat-only units. two adopted case studiesare addressed to compare the meta-heuristic and mathematically optimization algorithm results and awell-defined large-scale case study also presented to illustrate the feasibility and tractability of proposedhsa.