A Hybrid ICA/PSO Algorithm by Adding Independent Countries for Large Scale Global Optimization

An Efficient New Hybrid ICA-PSO Approach for Solving Large Scale Non-convex Multi Area Economic Dispatch Problems

“…A six-thermal unit sample system with transmission losses, POZs and ramp rate is used to demonstrate the performance of the proposed method. Coefficients of the Kron's loss formula (5) in per unit (with a 100 MVA base capacity) along with the generators' characteristics can be found in [41]. Table 4 shows the obtained optimal power output, minimum cost for this test system over the 50 trial runs.…”

“…Table 4 shows the obtained optimal power output, minimum cost for this test system over the 50 trial runs. These results are compared with particle swarm optimization (PSO) [42], genetic algorithm (GA) [42], multiple Tabu search (MTS) algorithm [41], new particle swarm optimization with local random search (NPSO-LRS) [43], bacterial foraging optimization (BFO) [44], new adaptive particle swarm optimization (NAPSO) algorithm [45], self-organizing hierarchical particle swarm optimization (SOH-PSO) method [46], biogeography-based optimization (BBO) [47], new modified particle swarm approach (New-MPSO) [48], string structure GA (SGA) [49], differential evolution (DE) [50][51][52], improved DE (IDE) [51], and Grey Wolf Optimizer (GWO) [53] in Table 4. Although the obtained solution is not guaranteed to be the global optimum, the results of the literature are better in comparison with existing methods.…”

GICA: Imperialist competitive algorithm with globalization mechanism for optimization problems

“…Other methods take advantage of the strength of other EAs and ICA together in an algorithm (e.g., [12][13][14]). In this section, we briefly review these methods.…”

“…Behnamian et al [12] used GA operators to make a feasible assimilation mechanism. Godrati et al [14] presented a new hybrid method using PSO and ICA by adding independent countries for large-scale global optimization. Lin et al [15] presented 2 variants of ICA called ICAAI and ICACI; the former one controls frequency of the competition process by introducing a new parameter, ρ , and the latter one applies uniform crossover between imperialists for exchanging information about the imperialist with other empires.…”

“…For dealing with premature convergence in the ICA, some previous works applied an improved assimilation operator for doing better local search and keeping diversity in the population [9][10][11]. Other methods take advantage of the strength of other EAs and ICA together in an algorithm (e.g., [12][13][14]). In this section, we briefly review these methods.…”