Table 3 Convergence situation in the compromise solution based on different solvers and uncertainty modeling for εF = 0.03 MW.

From: Capabilities of battery and compressed air storage in the economic energy scheduling and flexibility regulation of multi-microgrids including non-renewable/renewable units

Uncertainty modeling

Solver

Cost ($)

EEL (MWh)

VSI

Convergence iteration

Calculation time (sec)

StD (%)

UT

GWO + RPO

1591.6

2.357

 − 44.28

1264

129.1

0.97

RPO

1608.2

2.422

 − 44.15

1411

136.4

1.61

GWO

1619.4

2.478

 − 44.07

1525

141.2

1.78

KHO

1622.7

2.491

 − 44.01

1812

159.1

2.02

SCA

1627.5

2.498

 − 43.94

1937

161.8

2.11

TLBO

1639.1

2.511

 − 43.89

2122

174.2

2.45

PSO

1658.3

2.534

 − 43.63

2638

175.9

3.06

GA

1667.9

2.546

 − 43.45

2921

206.1

3.89

SBSO (40 scenario)

GWO + RPO

1535.7

2.112

 − 43.85

1272

133.8

0.97

SBSO (60 scenario)

GWO + RPO

1555.4

2.183

 − 44.03

1281

137.4

0.97

SBSO (80 scenario)

GWO + RPO

1591.1

2.350

 − 44.19

1291

143.5

0.98

SBSO (100 scenario)

GWO + RPO

1591.4

2.354

 − 44.24

1298

152.7

0.8