Table 5 The numerical values of the current imbalance coefficients based on the Durbin-Watson factors.

From: Digital protection scheme based on Durbin Watson and Pearson similarity indices for current signals practically applied to power transformers

Experiment number

Fault position

The current imbalance coefficients based on the Durbin-Watson factors for the protection scheme

Imbalance coefficients during the fault period

UFi1 = The maximum value of (UFia1, UFib1, or UFic1)

Unbalance/balance

DWia

DWib

DWic

DWim

UFia1 (%)

UFib1 (%)

UFic1 (%)

UFi1 (%)

Experiment 1

Winding-to-neutral fault (C1-N)

Unacceptable imbalanced current (Tripping action)

5.00

19.04

3.50

9.180

45.54

107.4

61.88

107.4

Experiment 2

Winding-to-neutral fault (C2-N)

0.72

0.90

1.16

0.927

22.30

2.8777

25.18

25.18

Experiment 3

Winding-to-neutral fault (C3-N))

75.0

115.1

25.0

71.7

4.60

60.53

65.13

65.13

Experiment 4

Winding-to-neutral fault (B1-N)

1.06

0.58

0.75

0.797

33.05

27.20

5.86

33.05

Experiment 5

Winding-to-neutral fault (B2-N)

12.0

30.0

85.51

42.5

71.77

29.42

101.2

101.2

Experiment 6

Turn-to-turn fault (A1-A2)

19.98

6.50

6.80

11.09

80.11

41.41

38.71

80.11

Experiment 7

Turn-to-turn fault (A2-A3)

0.827

0.40

0.05

0.426

94.28

6.03

88.25

94.28

Experiment 8

Winding-to-winding fault (B1-C1)

0.00

49.39

47.6

32.33

100.0

52.77

47.23

100.0

Experiment 9

Winding-to-winding fault (B2-C2)

0.00

109.0

109.0

72.67

100.0

50.00

50.00

100.0

Experiment 10

Winding-to-winding fault (B3-C3)

0.00

269.5

175

148.2

100.0

81.88

18.11

100.0

Experiment 11

Phase A loss

0.513

0.00

0.00

0.171

200

100.0

100.0

200

Experiment 12

Power transformer shutdown

65.0

50.0

133.8

82.93

21.62

39.71

61.33

61.33 (Actually, the tripping has been accomplished)