Page 306 - Practical Power System and Protective Relays Commissioning
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300  Practical Power System and Protective Relays Commissioning


               Minimum bias current for the 11 kV side with maximum voltage at the
            tertiary side is calculated as follows:

                                 V max 5 11 3 1:1 5 12:1kV
                                     100 3 10 3
                                I 3 5 p ffiffiffi   5 4771:5A
                                      3 3 12:1
                                             4771:5
                              I R at Vmax 5 0:95 3  5 0:906
                                              5000
                           Min Bias  5 2 I R at Vnominal   I R at Vmax Þ
                                        ð
                                     5 21   0:906Þ 5 0:188
                                        ð
               Minimum voltage at the tertiary side (11 kV):
                                 V min 5 11 3 0:9 5 9:9kV

                                      100 3 10 3
                                 I 3 5 p  ffiffiffi  5 5832 A
                                        3 3 9:9
                                            5832
                              I R at Vmin5 0:95 3  5 1:108 A
                                            5000
                           Min Bias  5 2 I R at Vmin 2 I R at Vnominal Þ
                                        ð
                                     5 21:108   1Þ 5 0:216
                                        ð
               Choose bias 5 22% for the 11 kV side.
               We then choose a bias slop of 22% for the differential relay (as shown in
            Fig. 19.5.6):
               I diff. min 5 0.1 A
               Note: second slope 5 80%, to give more stability for the relay operation
            on external faults (through faults).



















            FIGURE 19.5.6 Relay operate bias characteristic of a three-winding transformer biased dif-
            ferential protection.
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