Table 7 ARO and recent optimizers from the literature for multi-OFs for (Cases 6–9).

From: Generic optimal power flow solution associated with technical improvements and emission reduction by multi-objective ARO algorithm

Case

Objective

MSA54

PSO29

EMSA54

MODA57

DA-APSO

49

MOFA-CPA

23

PSO-SSO [29]

ECHIT24

ARO

6

OF1

834.1532

834.95

8.33.977

8.38.604

-

852.02

834.80

-

800.8

OF4

0.3286

0.243

0.3293

0.254

-

0.279

0.243

-

0.328

7

OF1

856.2673

-

859.9514

-

-

-

-

-

854.1

OF2

9.9012

-

4.9012

-

-

-

-

-

4.345

8

OF1

800.0275

834.4

799.3582

-

-

-

830.35

-

799.43

OF5

0.1209

0.128

0.1209

-

-

-

0.125

-

0.117

9

OF1

803.8740

804.48

803.4286

807.2807

802.63

-

803.99

803.72

803.43

OF3

0.1180

0.126

803.8740

0.023

0.116

-

0.094

0.095

0.1178