9424200994 Rev U
=
+
+
Vars
Vars
Vars
φ
3
A
B
φ
=
∠
−
∠
where:
V
I
P
PN
X
For Sensing Type: Three-wire
In three-wire sensing mode, the equivalent LN voltages are determined from the LL voltages assuming
3V
= 0V. This allows per-phase watts and vars to be determined and provides improved accuracy over a
0
two-element method when neutral current is present.
V ˆ
V ˆ
V ˆ
=
⋅
−
1
3 /
(
)
AN
AB
CA
Using the computed PN voltages, watts and vars are then computed using the equations listed under
four-wire sensing type, above.
For Single Phase Sensing Types: AN, BN, CN, AB, BC, CA
In single-phase sensing mode, the unknown PN voltages are calculated. Assuming a balanced three-
phase voltage is applied, the unknown PN voltages can be determined by scaling and rotating the
measured voltage as follows:
ABC Rotation
=
AN Sensing:
V
V
BN
AN
=
BN Sensing:
V
V
AN
BN
=
CN Sensing:
V
V
AN
CN
1
=
AB Sensing:
V
AN
3
1
=
BC Sensing:
V
AN
3
1
=
CA Sensing:
V
AN
3
ACB Rotation
=
AN Sensing:
V
V
BN
AN
=
BN Sensing:
V
V
AN
BN
=
CN Sensing:
V
V
AN
CN
1
=
AB Sensing:
V
AN
3
1
=
BC Sensing:
V
AN
3
1
=
CA Sensing:
V
AN
3
Using both the measured and calculated PN voltages, watts and vars are then computed using the
equations listed under four-wire sensing type above.
BE1-11g
Vars
C
V ˆ
=
⋅
1
3 /
(
BN
⋅
∠
−
°
1
120
V
⋅
∠
°
1
120
V
⋅
∠
−
°
1
120
V
⋅
∠
−
°
V
1
30
V
AB
⋅
∠
°
V
1
90
V
AB
⋅
∠
−
°
V
1
150
V
AB
⋅
∠
°
1
120
V
⋅
∠
−
°
1
120
V
⋅
∠
°
1
120
V
⋅
∠
°
V
1
30
V
AB
⋅
∠
−
°
V
1
90
V
AB
⋅
∠
°
V
1
150
V
AB
V ˆ
V ˆ
−
)
BC
AB
=
⋅
∠
°
V
1
120
CN
AN
=
⋅
∠
−
°
V
1
120
CN
BN
=
⋅
∠
°
V
1
120
BN
CN
1
=
⋅
∠
−
°
V
1
150
BN
AB
3
1
=
⋅
∠
−
°
V
1
30
BN
AB
3
1
=
⋅
∠
°
V
1
90
BN
AB
3
=
⋅
∠
−
°
V
1
120
CN
AN
=
⋅
∠
°
V
1
120
CN
BN
=
⋅
∠
−
°
V
1
120
BN
CN
1
=
⋅
∠
°
V
1
150
BN
AB
3
1
=
⋅
∠
°
V
1
30
BN
AB
3
1
=
⋅
∠
−
°
V
1
90
BN
AB
3
V ˆ
V ˆ
V ˆ
=
⋅
−
1
3 /
(
)
CN
CA
BC
1
=
⋅
∠
V
V
1
90
CN
AB
3
1
=
⋅
∠
−
V
V
1
CN
AB
3
1
=
⋅
∠
−
V
V
1
CN
AB
3
1
=
⋅
∠
−
V
V
1
CN
AB
3
1
=
⋅
∠
V
V
1
150
CN
AB
3
1
=
⋅
∠
V
V
1
30
CN
AB
3
Configuration
365
°
°
150
°
30
°
90
°
°
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