Table 4 The tripping times of the protection scheme based on the Durbin-Watson and Pearson functions.
Experiment number | Fault position | The tripping times of the protection scheme based on the Durbin-Watson and Pearson similarity functions (Select Ks1 = 1.0, Ks2 = 0.1, DWpu =  + 0.1 and ripu =  + 0.95) | |||||
|---|---|---|---|---|---|---|---|
Relay action | Max (DWia, DWib or DWic) | Min (ria, rib or ric) | Tt1 (milli-seconds) | Tt2 (milli-seconds) | Actual tripping time Min (Tt1 or Tt2) (milliseconds) | ||
Experiment 1 | Winding-to-neutral fault (C1-N) | Tripping | 19.04 |  + 1.00 | 5.25 | Infinity | 5.25 |
Experiment 2 | Winding-to-neutral fault (C2-N) | 1.164 | 0.00 | 85.91 | 105.26 | 85.91 | |
Experiment 3 | Winding-to-neutral fault (C3-N) | 115.13 |  + 0.20 | 0.868 | 160.0 | 0.868 | |
Experiment 4 | Winding-to-neutral fault (B1-N) | 1.063 |  + 0.15 | 94.07 | 143.75 | 94.07 | |
Experiment 5 | Winding-to-neutral fault (B2-N) | 85.51 |  + 0.25 | 1.170 | 178.57 | 1.170 | |
Experiment 6 | Turn-to-turn fault (A1-A2) | 19.98 | − 0.20 | 5.000 | 69.565 | 5.000 | |
Experiment 7 | Turn-to-turn fault (A2-A3) | 0.827 |  + 0.98 | 120.92 | Infinity | 120.92 | |
Experiment 8 | Winding-to-winding fault (B1-C1) | 49.38 |  + 0.15 | 2.025 | 143.75 | 2.025 | |
Experiment 9 | Winding-to-winding fault (B2-C2) | 109.05 | − 0.20 | 0.917 | 69.565 | 0.917 | |
Experiment 10 | Winding-to-winding fault (B3-C3) | 209.51 | − 0.12 | 0.477 | 82.243 | 0.477 | |
Experiment 11 | Phase A loss | 0.512 | − 0.50 | 195.31 | 34.483 | 34.483 | |
Experiment 12 | Power transformer shutdown | 133.86 | − 0.70 | 0.747 | 18.181 | 0.747 (actually, the tripping has been accomplished) | |
