Table 5 Results generated by the FO-DPSO and other schemes for ORPD with FACTS during case 1.

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

Control

Reported

Proposed

Variable

SPSO31

APSO31

EPSO31

Fuzzy-DE23

GWO30

DE23

QODE30

QOGWO30

WOA30

FO-DPSO

\(Q_G\) (2)

0.6

0.0

0.6

0.0

− 0.0108

− 0.5090

0.3535

0.0339

0.6

0.7494

\(Q_G\) (5)

0.0

0.0

0.0

0.6

− 0.1151

− 0.1307

0.2365

− 0.0027

0.6250

0.4392

\(Q_G\) (8)

0.0

0.0

0.0

0.25

0.1228

0.3955

0.4462

0.2907

0.5

0.3879

\(Q_G\) (11)

0.4

0.4

0.4

0.0416

0.0797

0.3031

0.3497

0.0515

0.0029

0.2656

\(Q_G\) (13)

0.0

0.0

0.0

0.0

0.2117

0.0474

0.2460

0.2342

0.0177

0.8470

T (11)

0.9

0.9

0.9439

0.9787

0.9

0.9021

0.9012

0.9

0.9

0.9889

T (12)

0.9

0.9501

0.9

0.9

0.9295

0.9658

0.9514

0.9452

0.9448

1.0072

T (15)

0.9

0.9180

0.9

0.9370

0.9

0.9007

0.9004

0.9

0.9

0.9974

T (36)

0.9223

0.9330

0.9326

0.9157

0.9289

0.9211

0.9278

0.9271

0.9285

0.9793

TCSC (1)

0.1463 (25)

0.1463 (25)

0.1463 (25)

0.0

0.08 (25)

0.08 (25)

0.0618 (25)

0.08 (25)

0.08 (25)

0.1113

TCSC (2)

0.0419 (41)

0.0419 (41)

0.0419 (41)

0.0

0.08 (41)

0.08 (41)

0.1588 (41)

0.08 (41)

0.08 (41)

0.2734

TCSC (3)

0.1049 (28)

0.1049 (28)

0.1049 (28)

0.0

0.08 (28)

0.0797 (28)

0.1999 (28)

0.08 (28)

0.08 (28)

0.0901

TCSC (4)

0.1388 (5)

0.1388 (5)

0.1368 (5)

0.0

0.08 (5)

0.08 (5)

0.0116 (5)

0.08 (5)

0.08 (5)

0.1348

SVC (1)

0.0 (7)

0.0 (7)

0.0 (7)

0.0

0.0368 (22)

0.0663 (22)

0.0797 (22)

0.0589 (22)

0.0524 (22)

0.1999

SVC (2)

0.0 (15)

0.0 (15)

0.0 (15)

0.0

0.1707 (04)

0.1492 (04)

0.08 (04)

0.12 (04)

0.1544 (04)

0.2

SVC (3)

0.0 (17)

0.0 (17)

0.0 (17)

0.0

0.20 (28)

0.1498 (28)

0.0789 (28)

0.20 (28)

0.2 (28)

0.2

SVC (4)

0.0840 (21)

0.0768 (21)

0.0 (21)

–

0.0049 (20)

0.0225 (20)

0.08 (20)

0.0091 (20)

0.0145 (20)

0.2

\(P_{ Loss}\)

0.05198

0.05092

0.05049

0.04745

0.04929

0.04881

0.0528

0.06331

0.06333

0.04683

\(C_{overall}\)

2.7324E+06

2.6767E+06

2.6541E+06

2.494E+06

2.5910E+06

2.5658E+06

2.7755E+06

3.3279E+06

3.3289E+06

2.4528E+08