Two-Layer Coordinated Energy Management Method in the Smart Distribution Network including Multi-Microgrid Based on the Hybrid Flexible and Securable Operation Strategy

Table 4

Convergence results of the proposed problem based on MSD obtained by different solvers.

Model	Solver	Objective function ($) in problem of		Convergence iteration for			Calculation times	Model status
		First layer	Second layer	First layer problem	Second layer problem	MSD
MINLP	BARON	2702.65	1589.34	92	84	14	3273.43	Locally optimal
	BONMIN	2621.73	1537.61	75	68	12	3027.11	Locally optimal
	DISOPT	—	—	—	—	—	—	Infeasible
	KNITRO	2768.28	1611.59	103	96	17	3347.38	Locally optimal
	OQNLP	—	—	—	—	—	—	Infeasible
MILP	BONMIN	2182.886	1275.22	74	69	8	129.57	Optimal
	CBC	2182.886	1275.22	64	60	8	113.83	Optimal
	CPLEX	2182.886	1275.22	55	51	8	102.68	Optimal