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Table 6 Sensitivity analysis for turbine and governor time constant (ISE, ITSE (× 10–6), IAE, ITAE (× 10–3))

From: A novel computational technique using coefficient diagram method for load frequency control in an interconnected power system

Time constant

Variation

CDM-OPT

PID

Fuzzy

%Age

Value

ISE

ITSE

ITAE

IAE (J)

ISE

ITSE

ITAE

IAE(J)

ISE

ITSE

ITAE

IAE(J)

Nominal

–

–

6.422

9.192

9.113

4.262

11.52

18.11

16.62

6.439

23.37

32.06

12.97

6.877

Tg1

 + 25%

− 25%

 + 50%

− 50%

0.1

0.06

0. 12

0.04

7.311

5.845

8.576

5.472

10.26

8.646

12.02

8.327

8.856

9.669

8.999

9.892

4.236

4.380

4.465

4.429

13.18

10.46

15.97

9.863

20.25

16.88

24.71

16.38

16.48

16.85

17.05

17.11

6.565

6.485

7.061

6.552

27.75

20.42

33.94

18.67

38.84

28.17

55.34

26.48

14.36

13.51

12.23

14.18

7.544

6.839

12.78

7.113

Tg2

 + 25%

− 25%

 + 50%

− 50%

0.075

0.045

0.09

0.03

6.510

6.350

6.605

6.316

9.312

9.110

9.456

9.109

8.999

9.294

8.987

9.506

4.240

4.295

4.233

4.350

11.65

11.38

11.86

11.25

18.25

17.95

18.58

17.80

16.50

16.75

16.53

16.86

6.395

6.487

6.406

6.526

23.56

23.26

23.94

23.21

32.32

31.95

32.96

31.91

13.02

12.93

13.38

12.89

6.875

6.889

6.996

6.906

Tt1

 + 25%

− 25%

 + 50%

− 50%

0.5

0.3

0.6

0.2

7.961

5.334

9.742

4.935

11.11

7.988

13.45

7.722

9.568

9.321

10.29

9.582

4.507

4.194

4.820

4.225

14.62

9.536

18.53

8.284

22.66

15.61

28.86

13.92

17.81

16.27

19.76

15.45

6.990

6.281

7.854

6.014

30.23

17.82

38.07

13.86

41.61

25.11

53.28

20.98

13.35

13.92

17.98

15.28

7.459

6.778

8.802

7.020

Tt2

 + 25%

− 25%

 + 50%

− 50%

0.55

0.33

0.66

0.22

6.535

6.279

6.633

6.176

9.386

8.962

9.523

8.877

9.311

9.130

9.273

9.457

4.302

4.244

4.307

4.316

11.73

11.21

12.32

10.78

18.22

17.63

19.46

16.85

16.22

16.59

16.92

16.26

6.339

6.435

6.610

6.348

23.93

23.04

24.83

22.95

32.95

31.59

34.69

31.59

12.15

13.23

12.78

13.74

6.727

6.978

6.923

7.148