Table 7 Comparative study for the 30 bus network with 13 decision variables without FACTS.

From: Design of fractional evolutionary processing for reactive power planning with FACTS devices

Control Variables

MICA-IWO

PSO

MFO

HSA

ICA

GA

IWO

DE

GWO

NMFLA

FO-DPSO

V1

1.07972

1.0313

1.1

1.0726

1.0785

1.0721

1.06965

1.095319

1.1

1.1000

1.01

V2

1.07055

1.0114

1.0946

1.0625

1.06943

1.063

1.06038

1.085946

1.096149

1.0945

1.04231

V5

1.04836

1.0221

1.0756

1.0399

1.06943

1.0377

1.03692

1.062628

1.080036

1.0753

1.0401

V8

1.04865

1.0031

1.772

1.0422

1.04714

1.0445

1.03864

1.065076

1.080444

1.0773

1.0956

V11

1.07518

0.9744

1.0868

1.0318

1.03485

1.0132

1.02973

1.0266

1.093452

1.1000

1.0110

V13

1.07072

0.9987

1.1

1.0681

1.07106

1.0898

1.05574

1.014253

1.1

1.1000

1.0491

T6-9

1.03

0.97

1.04110

1.01

1.08

1.0221

1.05

1.017796

1.04

1.06

1.0610

T6-10

0.99

1.02

0.95007

1

0.95

0.9917

0.96

0.979277

0.95

0.92

0.9295

T4-12

1

1.01

0.95541

0.99

1

0.9964

0.97

0.977843

0.95

0.95

0.9665

T27-28

0.98

0.99

0.95754

0.97

0.97

0.971

0.97

1.008938

0.95

0.96

0.9555

Qc3

− 7

17

7.1032

34

− 6

5.3502

8

20.22359

12

0.08

8.4272

Qc10

23

13

30.796

12

36

36

35

9.584327

30

0.26

25.1542

Qc24

12

23

9.8981

10

11

12.4175

11

13.02992

8

0.10

9.2331

\(P_{Loss}\)(MW)

4.846

5.8815

4.608

5.109

4.849

4.8775

4.92

4.888081

4.613

4.6118

4.606