Y
t
Y
t
osum
CPS
osum
_
( )
( )
1
1
=
GUID-EDC80710-FA5D-4966-AE81-888E8B4D2CD5 V1 EN
(Equation 58)
Y
t
Y
t
Y
t
osum
CPS
osum
osum
_
( )
( )
( )
2
1
2
=
+
GUID-696EFC44-7AF4-45A9-A3F4-11C153143D55 V1 EN
(Equation 59)
Y
t
Y
t
Y
t
Y
t
osum
CPS
osum
osum
osum
_
( )
( )
( )
( )
3
1
2
3
=
+
+
GUID-A18538B4-EFCD-4844-AEFB-0BB92358582A V1 EN
(Equation 60)
Y
t
Y
t
Y
t
Y
t
Y
t
osum
CPS
osum
osum
osum
osum
_
( )
( )
( )
( )
( )
4
1
2
3
4
=
+
+
+
GUID-EBDE2421-0F49-4141-87E2-433DF64503C9 V1 EN
(Equation 61)
Y
t
Y
t
Y
t
Y
t
Y
t
Y
osum
CPS
osum
osum
osum
osum
osu
_
( )
( )
( )
( )
( )
5
1
2
3
4
=
+
+
+
+
m
m
t
( )
5
GUID-8E0FAAAB-F656-4FCF-AC71-42C357E77F3E V1 EN
(Equation 62)
GUID-69E030E7-F3CF-4872-AF6A-3D12002EA3AC V1 EN
Figure 212:
Principle of Cumulative Phasor Summing (CPS)
The CPS technique provides a stable directional phasor quantity despite individual
phasors varying in magnitude and phase angle in time due to a non-stable fault type such
as restriking or intermittent ground fault. This is also true for harmonic components
included in the sum admittance phasor. Harmonics have typically a highly fluctuating
character.
Harmonic components provide a more distinctive directional determination in
compensated networks than the fundamental frequency component. The higher the
frequencies, the compensation coil appears as very high impedance and the harmonics are
not affected by compensation coil and degree of compensation. When harmonics are
Section 4
1MAC059074-MB A
Protection functions
442
615 series ANSI
Technical Manual
Summary of Contents for Relion 615 series
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