Table 4 Performances of DTC, \(GA-DTC\) and \(ACO-DTC\) controls.

From: An advanced direct torque control for doubly fed induction motor using evolutionary computational techniques

  

Performances

DTC

\(GA-DTC\)

\(ACO-DTC\)

Improvement

Improvement

GA-DTC/DTC \(\%\)

ACO-DTC/DTC \(\%\)

Zone 1

\(\Omega\)

Response time (ms)

96.5

27.2

27.2

80.83

80.83

Overshoot (rad/s)

34

0

0

100

100

Rejection time (ms)

33.6

1.82

0.041

94.58

99.88

Undershoot (rad/s)

4.9

0.65

1.17

86.73

76.12

\(T\_{em}\)

Ripples (Nm)

2.39

2.1

1.91

12.13

20.08

\(\psi \_{\textrm{s}}\)

Ripples (Wb)

0.04784

0.04253

0.0401

11.1

16.17

\(\psi \_{\textrm{r}}\)

Ripples (Wb)

0.01058

0.0098

0.0082

7.37

22.5

\(i\_{\textrm{sa}}\)

THD (\(\%\))

7.89

5.03

4.25

36.25

46.13

\(i\_{\textrm{ra}}\)

THD (\(\%\))

11.07

6.67

6.13

39.75

44.63

Zone 2

\(\Omega\)

Response time (ms)

83.1

25.3

14.3

69.55

82.8

Overshoot (rad/s)

31.3

0

0.63

100

58.55

Rejection time (ms)

9.8

0.613

0.5

93.74

94.9

Undershoot (rad/s)

2.7

10.96

2

–

25.93

\(T\_{em}\)

Ripples (Nm)

2.39

2.3

1.91

3.77

20.08

\(\psi \_{\textrm{s}}\)

Ripples (Wb)

0.04784

0.04253

0.0401

11.1

16.17

\(\psi \_{\textrm{r}}\)

Ripples (Wb)

0.01058

0.0098

0.0082

7.37

22.5

\(i\_{\textrm{sa}}\)

THD (\(\%\))

8.36

6.56

5.01

21.53

40.07

\(i\_{\textrm{ra}}\)

THD (\(\%\))

12.19

7.06

6.93

42.08

43.15

Zone 3

\(\Omega\)

Response time (ms)

–

–

–

–

–

Overshoot (rad/s)

–

–

–

–

–

Rejection time (ms)

1

0.183

0.665

81.7

33.5

Undershoot (rad/s)

9.75

12.08

11.03

–

–

\(T\_{em}\)

Ripples (Nm)

2.8

2.32

2.02

17.14

27.86

\(\psi \_{\textrm{s}}\)

Ripples (Wb)

0.04784

0.04253

0.0401

11.1

16.17

\(\psi \_{\textrm{r}}\)

Ripples (Wb)

0.01058

0.0098

0.0082

7.37

22.5

\(i\_{\textrm{sa}}\)

THD (\(\%\))

8.5

6.75

5.13

20.59

39.65

\(i\_{\textrm{ra}}\)

THD (\(\%\))

12.94

7.14

6.65

44.82

46.69

Zone 4

\(\Omega\)

Response time (ms)

1

0.141

0.131

85.9

86.9

Overshoot (rad/s)

27.7

0

2.17

100

92.17

Rejection time (ms)

1

0.57

0.553

43

44.7

Undershoot (rad/s)

4.9

1.99

1.87

59.39

61.84

\(T\_{em}\)

Ripples (Nm)

2.58

2.16

1.94

16.28

24.81

\(\psi \_{\textrm{s}}\)

Ripples (Wb)

0.04784

0.04253

0.0401

11.1

16.17

\(\psi \_{\textrm{r}}\)

Ripples (Wb)

0.01058

0.0098

0.0082

7.37

22.5

\(i\_{\textrm{sa}}\)

THD (\(\%\))

7.32

4.76

4.32

34.97

40.98

\(i\_{\textrm{ra}}\)

THD (\(\%\))

10.91

6.81

6.24

37.58

42.81

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