Modified Bat Algorithm for Combined Economic and Emission Dispatch Problem

Bat Algorithm with Individual Local Search

“…Bat algorithm (BA) is a novel population-based swarm intelligent [4]. Due to its fast convergent speed, BA has been widely applied to many engineering problems, including tracking problems [10], economic load dispatch [11], Detection of Malicious Code [12], uninhabited combat aerial vehicle path planning [13], flow shop scheduling [14,15], and job shop scheduling problems [16].…”

Minimization of Fuel Cost and Emission for Thermal Units by Using an Effective Meta-heuristic Algorithm

“…The conventional PSO was first developed by Kennedy and Eberhart [16] in 1995. Similar to other meta-heuristic algorithms, the PSO algorithm consists of Np particles with their position Xd and velocity Vd, d = 1,…, Np where each particle d contains a solution for the problem.…”

“…Consequently, the purpose of minimization of both fuel cost and emission has a significantly high role in the power systems. Due to the importance of the problem, a huge number of researchers have been attracted and published a lot of papers so far such as Hopfield Neural Network (HNN) [1], Improved Hopfield Neural Network Model (IHNN) [1], Tabu Search (TS) [2], fuzzy logic controlled genetic algorithm (FCGA) [3], the Non-dominated Sorting Genetic Algorithm -II (NSGA-II) [4], Differential Evolution (DE) [5], Genetic algorithm (GA) [6], Particle swarm optimization (PSO) [6], biogeography-based optimization (BBO) [7], pareto differential evolution (PDE) [8], nondominated sorting genetic algorithm-II (NSGA-II) [8], strength pareto evolutionary algorithm 2 (SPEA 2) [8], Hybrid Differential evolution-sequential quadratic programming (DE-SQP) [8], Hybrid Particle Swarm optimization-sequential quadratic programming (PSO-SQP) [9], parallel synchronous PSO algorithm (PSPSO) [10], ABC_PSO [11], multi-objective cultural algorithm (MOCA) [12], Basic Cuckoo Search Algorithm (CSA) [13], Lambda method (LM) [14], Hopfield Lagrange Network (HLN) [14], flower pollination algorithm (FPA) [15], Bat algorithm [16], modified Bat algorithm (MBA) [16], and gravitational search algorithm (GSA) [17]. Among these considered methods, IHNN [1], LM [14] and HNN [14] belong to the family of deterministic algorithms where other ones are included in the meta-heuristic algorithms.…”

“…On the contrary, HLN can yield an optimal solution very fast and there is no impact from the large scale system but only from large number of constraints. In [16], both conventional BA and its modified version have been applied for solving the problem. Via the result comparison, it indicates th at MBA is more effective than BA for one three unit system.…”