A Benders decomposition approach for a combined heat and power economic dispatch

Crisscross optimization algorithm for solving combined heat and power economic dispatch problem

“…It is observed that the minimum cost obtained with the CSO method is 9257.07$, which is the same as the best known result reported in [2,8,11,29,33]. It is noteworthy that although a better solution obtained by SPSO was reported in [13], it is infeasible because it violates the feasible operation region constraint imposed on cogeneration 3.…”

“…Fig. 1 illustrates a typical example of a feasible operation region bounded by six lines in power-heat plane for CHP units [33].…”

“…The obtained optimal results of the CSO algorithm for this case are presented in Table 2 and compared with the results achieved by other previously developed methods such as improved ant colony optimization (ACO) algorithm [22], particle swarm optimization (PSO) [14], improved genetic algorithm with multiplier updating (IGA-MU) [16], self-adaptive real-coded genetic algorithm (SARGA) [19], harmony search (HS) [2], genetic algorithm based penalty function (GA-PF) [17], selective individuals warm optimization (SPSO) [13], particle swarm optimization with time varying acceleration coefficients (TVAC-PSO) [11], genetic algorithm (GA) [17], Lagrangian relaxation [8], Sequential Quadratic Programming (SQP) algorithms [39], mesh adaptive direct search (MADS) algorithm [29], evolutionary programming (EP) [26], multi-objective PSO (MOPSO) [14] and benders decomposition approach [33].…”

Optimal power flow based TU/CHP/PV/WPP coordination in view of wind speed, solar irradiance and load correlations

“…The operating cost of the CHP units is presented by a quadratic polynomial functions of heat and electricity power output of the CHP unit plus a coupling coefficient that relates electricity power and heat as follows [28]:…”

An advanced optimization technique for considering reliability issues and unit commitment problems simultaneously

“…In [10], a unified stochastic and robust unit commitment problem along with reliability was developed based on the Benders decomposition algorithm. In [11], a Benders decomposition approach was proposed for a combined heat and power system. In [12], a fuzzy radial interval linear programming model was developed for robust planning of energy management systems with environmental consideration.…”