Research Article

Dynamic Environmental/Economic Scheduling for Microgrid Using Improved MOEA/D-M2M

Table 1

The -values, extreme solutions, and CPU time using the three algorithms under different load demands.

Load demand (kW)ā€‰ā€‰I-MOEA/D-M2MSPEA2NSGAII

50-valueBest278.5705278.3354276.4289
Mean278.5012274.0246272.5123
Extreme solutionsFor obj11(2.1137, 0.7416)(2.1145, 0.7451)(2.4410, 0.2894)
For obj2(4.7214, 0.0012)(4.6002, 0.0013)(7.5578, 0.0015)

100-valueBest261.0048260.8247257.4370
Mean260.9123257.2458252.4999
Extreme solutionsFor obj1(3.8618, 0.7431)(3.8788, 0.7358)(4.1293, 0.3158)
For obj2(6.9167, 0.0013)(6.9822, 0.0015)(8.2485, 0.0018)

150-valueBest204.6214201.2211195.5587
Mean202.2548196.6741187.5855
Extreme solutionsFor obj1(9.1871, 0.9048)(9.3121, 0.8863)(9.2865, 0.8563)
For obj2(13.4595, 0.1249)(13.2509, 0.1386)(13.2488, 0.2360)

Average CPU time (s)49.1254292.518678.3404

The terms obj1 and obj2 represent to the two optimization objectives, respectively.