9 THEORY OF OPERATION
2
(
)
If I
REM_REST_A
The 87G restraining signal is calculated as follows:
2
(
)
(
(
I
=
max I
RES_87G
LOC_REST_A
(
I
REM1_REST_C
The terms for the second remote terminal are omitted in two-terminal applications.
The operate signal for the ground differential function,
2
(
)
The restraint signal,
I
,
87G
2
(
)
The restraint signal,
I
,
87G
where
S
is the slope setting for the ground differential function.
87G
The ground differential element picks up if the following condition holds.
(
(
I
OP_87G
where
P
is the pickup setting for the ground differential function.
87G
In other words, when the squared magnitude of the operating signal is greater than the total restraining squared signal, the
element operates. For additional security, the function is blocked if the restraining signal is high, indicating the 87LG func-
tion is not required to clear high-current faults, allowing for more sensitive settings to be used for the 87LG function.
Synchronization of data sampling clocks is needed in a digital differential protection scheme, because measurements must
be made at the same time. Synchronization errors show up as phase angle and transient errors in phasor measurements at
the terminals. By phase angle errors, we mean that identical currents produce phasors with different phase angles. By tran-
sient errors, we mean that when currents change at the same time, the effect is seen at different times at different measure-
ment points. For best results, samples should be taken simultaneously at all terminals.
In the case of peer to peer architecture, synchronization is accomplished by synchronizing the clocks to each other rather
than to a master clock. Each relay compares the phase of its clock to the phase of the other clocks and compares the fre-
quency of its clock to the power system frequency and makes appropriate adjustments. The frequency and phase tracking
algorithm keeps the measurements at all relays within a plus or minus 25 microsecond error during normal conditions for a
2 or 3 terminal system. For 4 or more terminals the error may be somewhat higher, depending on the quality of the commu-
nications channels. The algorithm is unconditionally stable. In the case of 2 and 3 terminal systems, asymmetric communi-
cations channel delay is automatically compensated for. In all cases, an estimate of phase error is computed and used to
automatically adapt the restraint region to compensate. Frequency tracking is provided that will accommodate any fre-
quency shift normally encountered in power systems.
GE Multilin
2
2
<
(
)
BP
, then I
=
REM_REST_A
2
(
)
else I
=
REM_REST_A
2
2
)
,
(
)
,
(
I
I
LOC_REST_B
2
2
)
,
(
)
,
I
REM2_REST_A
(
I
OP_87G
2
(
)
(
I
=
I
OP_87G
OP_87G_RE
is calculated as follows for two-terminal applications:
2
2
(
)
I
=
2S
87G
87G
is calculated as follows for three-terminal applications:
4
2
(
)
×
I
-- -
S
=
87G
87G
3
2
2
2
)
(
(
)
)
>
–
2P
+
I
0
87G
87G
L30 Line Current Differential System
2
(
)
I
REM_RESTRAINT_A
---------------------------------------------------- -
2
4
×
-- -
S
3
1
4
2
(
)
(
-- - S
I
–
REM_RESTRAINT_A
1
3
------------------------------------------------------------------------------------------ -
4
2
×
-- -
S
2
3
2
)
,
(
)
I
LOC_REST_C
REM1_REST_A
2
(
)
,
(
I
I
REM2_REST_B
REM2_REST_C
2
)
, is then calculated as:
2
2
)
(
)
+
I
OP_87G_IM
2
×
(
)
I
RES_87G
2
2
×
(
)
I
RES_87G
2
2
) and
(
(
)
<
(
)
I
3 pu
RES_87G
9.1.8 CLOCK SYNCHRONIZATION
9.1 OVERVIEW
(EQ 9.15)
2
×
)
BP
2
+
BP
2
2
,
(
)
,
I
REM1_REST_B
(EQ 9.16)
2
)
)
(EQ 9.17)
(EQ 9.18)
(EQ 9.19)
)
(EQ 9.20)
9
9-5