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A reliable decision-making algorithm Chapter | 18  497



               TABLE 18.12 Response of wavelet packet energy and bagged decision
               tree-3 and 4 modules for variation in sampling frequency.
                      Type  Sampling  Fault         Fault classification time (ms)
                      of    frequency  detection
                                               A1  B1   C1  G    A2  B2   C2
                      fault  (kHz)    time (ms)
               Shunt  AG    1.2       13.0     13           13
               faults
                      ABG   5         10.0     10  10       10
                      AB    10        5.0      05  05
                      ABC   20        4.0      04  04   04
               Shunt  AG    1.2       17.0     17           17
               faults
               (during  ABG  5        12.0     12  12       12
               power  AB    10        9.0      09  09
               swing)
                      ABC   20        6.0      06  06   06



             saturation and CCVT transients on the proposed WPE_BDT scheme the stan-
             dard CT and CCVT models as given in [32] have been selected and a wide-
             ranging simulation studies have been performed by creating different types
             of fault by assuming the φ 5 0degrees, L f 5 3 km, R f 5 0:001 Ω. Three-
                                    f
             phase current and voltage waveforms during double phase to ground fault
             (A1B1G) occurred at 3.018 seconds in the presence of CTs and CCVTs are
             shown in Fig. 18.13A and B, respectively, wherein it can be observed that
             the CT secondary current multiplied by CT ratio does not imitate the primary
             current owing to CT saturation. The effectiveness of the proposed
             WPE_BDT-based scheme has been established on the current and voltage
             samples derived from the modified model. It can be seen from the
             Fig. 18.13D and E that the performance of the proposed scheme is not
             affected by CT saturation and CCVT transient as the fault is detected and
             identified correctly at 3.024 seconds as a double phase to ground fault
             involving phases A1 and B1 of circuit-I.


             18.5.4.6 Performance in case of a fault in circuit-II
             As the two circuits are operating in parallel with mutual coupling between
             the two circuits, a fault in one circuit affects the corresponding healthy phase
             of the second circuit too. Therefore it is important to investigate the perfor-
             mance of the proposed scheme for faults in the second circuit as well. For
             instance, consider a phase to ground fault (C2G) occurred at 3.024 seconds
             on circuit-II at L f 5 60 km, R f 5 10 Ω, and φ 5 270degrees. Three-phase
                                                    f
             current waveforms of circuit-I and circuit-II and voltage waveforms during a
             fault in the second circuit are shown in Fig. 18.14A C, respectively,
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