ABB Relion 670 Series Technical Reference Manual page 476

Section 13
Monitoring
470
Set value for Formula used for complex, three-
parameter phase power calculation
"Mode"
4 L1L2
=
S U
EQUATION1391 V1 EN
5 L2L3
=
S U
EQUATION1393 V1 EN
6 L3L1
=
S U
EQUATION1395 V1 EN
7 L1
= ×
S 3
EQUATION1397 V1 EN
8 L2
= ×
S 3
EQUATION1399 V1 EN
9 L3
= ×
S 3
EQUATION1401 V1 EN
* means complex conjugated value
It shall be noted that only in the first two operating modes that is, 1 & 2 the
measurement function calculates exact three-phase power. In other operating
modes that is, from 3 to 9 it calculates the three-phase power under assumption that
the power system is fully symmetrical. Once the complex apparent power is
calculated then the P, Q, S, & PF are calculated in accordance with the following
formulas:
=
P Re( ) S
EQUATION1403 V1 EN
Formula used for voltage and
current magnitude calculation
× * - * U
( I I )
L L 1 2 L 1 L 2
(Equation 67)
I
EQUATION1392 V1 EN
× * - * U
( I I )
L L 2 3 L 2 L 3
(Equation 69)
I
EQUATION1394 V1 EN
× - U
* *
( I I )
L L 3 1 L 3 L 1
(Equation 71)
I
EQUATION1396 V1 EN
× U
*
U I
L 1 L 1
(Equation 73)
I
EQUATION1398 V1 EN
× * U
U I
L 2 L 2
(Equation 75)
I
EQUATION1400 V1 EN
× * U
U I
L 3 L 3
(Equation 77)
I
EQUATION1402 V1 EN
1MRK 505 208-UEN B
Comment
Used when
=
U
only U
L L 1 2
phase-to-
= +
( I I ) / 2 phase
L 1 L 2
voltage is
(Equation 68) available
Used when
=
U
only U
L L 2 3
phase-to-
= +
( I I ) / 2 phase
L 2 L 3
voltage is
(Equation 70) available
Used when
=
U
only U
L L 3 1
phase-to-
= +
( I I ) / 2 phase
L 3 L 1
voltage is
available
(Equation 72)
Used when
= ×
3 U
only U
L 1
phase-to-
= earth voltage
I
L 1
is available
(Equation 74)
Used when
= ×
3 U
only U
L 2
phase-to-
earth voltage
=
I
L 2
is available
(Equation 76)
Used when
= ×
3 U
only U
L 3
phase-to-
= earth voltage
I
L 3
is available
(Equation 78)
Technical reference manual
L1L2
L2L3
L3L1
L1
L2
L3
(Equation 79)