Table 2 Performance indices for Case-II, Scenario-I in absence of RESs.

From: Enhanced load frequency regulation in microgrids with renewable energy sources and electric vehicles

Controller

ISE×\(\:{10}^{-6}\)

OSH×\(\:{10}^{-5}\)

USH

Settling time

Load (%)

PDN-PI

12.957

187.227

-0.0119

2.28

5

PID-PID

14.043

103.352

-0.0126

1.48

FPID

54.868

78.121

-0.0162

3.2

PI-FPID

9.894

82.994

-0.0119

1.87

PIDN

59.322

0

-0.0159

2.13

PID

71.742

4.033

-0.0195

2.67

FPDN-FPTID

8.621

0

-0.0117

0.44

(I-P)-PDN Proposed

1.74

0

-0.011

0.421

PDN-PI

119.556

251.724

-0.03414

1.31

10

PID-PID

123.24

176.558

-0.03422

1.2

FPID

261.43

0

-0.0425

2.55

PI-FPID

109.81

118.469

-0.03418

0.52

PIDN

299.47

2.64

-0.0357

1.65

PID

329.89

28.68

-0.0415

2.12

FPDN-FPTID

98.25

0

-0.0341

0.4

(I-P)-PDN Proposed

42

0

-0.018

0.39

PDN-PI

569.286

550.17

-0.06536

1.95

15

PID-PID

581.375

565.811

-0.06536

1.9

FPID

900.61

60.969

-0.0669

1.77

PI-FPID

538.059

321.947

-0.06537

1.05

PIDN

1008.82

128.069

-0.0659

1.18

PID

1037.68

208.98

-0.0713

2.01

FPDN-FPTID

533.01

41.316

-0.06531

0.39

(I-P)-PDN Proposed

78

0.001

-0.015

0.375

PDN-PI

1887.541

1130.729

-0.1054

2.6

20

PID-PID

1924.532

1307.22

-0.1054

2.39

FPID

2541.407

272.824

-0.107

3.01

PI-FPID

1816.244

727.9485

-0.1054

2.26

PIDN

2712.31

523.783

-0.1057

2.56

PID

2791

684.79

-0.111

2.6

FPDN-FPTID

1790.08

161.58

-0.1054

0.47

(I-P)-PDN Proposed

130

85.1

-0.018

0.458