An improved particle swarm optimization using simplex-based deterministic approach for economic-emission power dispatch problem

Improved particle swarm optimization for feature selection combining simplex method and niche

“…In 1962, Spendley et al proposed the initial simplex method, followed by Nelder and Mead proposing nonlinear simplex search. A simplex represents an n-dimensional geometric body composed of n+1 points [5] . By comparing the function values of each geometric vertex, the change trend of the objective function is determined based on the size and distribution of the function values.…”

“…Niche is a concept derived from biology [5] .In the process of natural evolution, organisms always live together with their own species and reproduce together. The environment in which these organisms rely for survival is called a niche.…”

Hybrid krill herd optimizer for thermal power scheduling problem

“…A combination of PSO and the simplex search method has been implemented to solve economicemission dispatch problems. PSO finds a global search in the exploration area, whereas simplex search method searches in the confined search area [19]. A technique based on piecewise-linear programming has been developed to solve economic dispatch problem with non-convex characteristics [20].…”

“…The EEPD problem is to achieve global best power generation schedule with defined power balance equation and real power limits such that the total power generation cost as well as emission can be minimized. In this optimization problem, both operating cost function and pollutant's emission are transformed into singular objective using price penalty factor, where price penalty factor can be calculated by taking ratio among minimum or maximum of total operating cost and minimum or maximum emissions of specific generators [19]. EEPD problem is shown in Equation 5.…”

“…The price penalty factor is stated as the ratio of operating fuel cost to emission of pollutants evaluated at either minimum or maximum generations [19]. The price penalty factor, 1 is defined as the ratio of operating fuel cost to emission of pollutants whereas both objectives are evaluated at minimum generation limit.…”