Table 6 The numerical values of the current imbalance coefficients based on the correlation factors for the protection scheme.

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 Pearson similarity function for the protection scheme

Imbalance coefficients during the fault period

UFi2 = The maximum value of (UFiab2, UFibc2, or UFica2)

Unbalance/balance

riab

ribc

rica

UFiab2 (%)

UFibc2 (%)

UFica2 (%)

UFi2 (%)

Experiment 1

Winding-to-neutral fault (C1-N)

Unacceptable imbalanced current (Tripping action)

− 1.0

− 1.0

 + 0.8

50

50

130

130

Experiment 2

Winding-to-neutral fault (C2-N)

− 1.0

− 1.0

 + 1.0

50

50

150

150

Experiment 3

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

− 1.0

− 0.90

 + 1.0

50

40

150

150

Experiment 4

Winding-to-neutral fault (B1-N)

 + 0.80

− 1.0

− 0.95

130

50

45

130

Experiment 5

Winding-to-neutral fault (B2-N)

 + 0.95

− 1.0

− 0.90

145

50

40

145

Experiment 6

Turn-to-turn fault (A1-A2)

− 1.0

 + 0.95

− 1.0

50

145

50

145

Experiment 7

Turn-to-turn fault (A2-A3)

− 0.52

− 0.25

− 0.80

2

25

30

30

Experiment 8

Winding-to-winding fault (B1-C1)

− 0.80

− 1.0

 + 0.75

30

50

125

125

Experiment 9

Winding-to-winding fault (B2-C2)

− 0.90

− 1.0

 + 0.95

40

50

145

145

Experiment 10

Winding-to-winding fault (B3-C3)

− 0.85

− 1.0

 + 0.80

35

50

130

130

Experiment 11

Phase A loss

 + 0.41

− 0.44

− 0.37

91

6

13

91

Experiment 12

Power transformer shutdown

 + 0.30

− 1.0

− 0.10

80

50

40

80 (Actually, the tripping has been accomplished)

  1. Currents unbalance is acceptable when UFi2 is within Δu =  + 10%.