Hierarchical Multiobjective Dispatching Strategy for the Microgrid System Using Modified MOEA/D

Algorithm 1

Initialization of the population.

	Require:
	N: population size
	EP: external archive, and EP = Ø
	Vi: summing all the constraint violations of the i-th solution
	Output: population: EP = {x^1,…,x^N}
	Step 1: N particles are generated randomly according to the boundary constraints
	Step 2: producing N solutions using the DE operations
	Step 3: calculating the overall constraint violations Vi, i = 1, 2, ..., 2N
	Step 4: sorting the solutions according to the overall constraint violations in the increasing order and selecting the first N number of solutions
	Step 5: If V^N > ξ, then set EP = {x^1,…,x^N}, and return to Step 2
	Step 6: output EP = {x^1,…,x^N}