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Table 2 Comparison of Performance improvement of PIDD-PI over PID, PI-PD and PD-PID controllers

From: Cascade controller based modeling of a four area thermal: gas AGC system with dependency of wind turbine generator and PEVs under restructured environment

Response

Controllers

% Improvement of PIDD-PI over

PID

PI-PD

PD-PID

PIDD-PI

PID

PI-PD

PD-PID

∆F1

Figure 3a

 POS

0.0230

–

–

0.0060

73.91

NA

NA

 PUS

0.0600

0.0620

0.0670

0.0500

16.67

19.35

25.37

 ST

34.160

24.190

35.160

11.060

67.62

53.86

68.44

∆Ptie14

Figure 3b

 POS

0.0056

0.0070

0.0070

0.0060

NA

14.28

14.28

 PUS

0.0024

0.0013

0.0039

0.0002

91.67

64.61

94.87

 ST

36.000

16.150

36.080

15.250

57.63

5.9

57.73

∆Ptie34

Figure 3c

 POS

0.0154

0.0170

0.0070

0.0140

90.09

17.64

50

 PUS

0.0014

0.0010

0.0170

0.0010

28.57

Equal

94.11

 ST

25.140

26.840

33.930

20.100

25.07

25.11

68.80

  1. Bold representes the best values obtained with PIDD - PI controller when compared with the other comtrollers tabulated such as PID, PI-PD, PD-PID