Basler BE1-11g - Page 357

9424200994 Rev N 345
CBA3
VarsVarsVarsVars ++=
φ
where:
X
PNP
I
V ∠
−∠
=
φ
For Sensing Type: Three-wire
In three-wire sensing mode, the equivalent LN voltages are determined from the LL voltages assuming
3V
0
= 0V. This allows per-phase watts and vars to be determined and provides improved accuracy over a
two-element method when neutral current is present.
)V
ˆ
V
ˆ
(3/1V
ˆ
CAABAN
−⋅=
)V
ˆ
V
ˆ
(3/1V
ˆ
ABBCBN
−⋅=
)V
ˆ
V
ˆ
(3/1V
ˆ
BCCACN
−⋅=
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:
°−∠⋅= 1201VV
ANBN
°∠⋅= 1201VV
ANCN
BN Sensing:
°∠⋅= 1201VV
BNAN
°−∠⋅= 1201VV
BNCN
CN Sensing:
°−∠⋅= 1201VV
CNAN
°∠⋅= 1201VV
CNBN
AB Sensing:
°
−∠⋅=
301VV
ABAN
3
1
°
−∠⋅
= 1501VV
ABBN
3
1
°∠
⋅=
901V
V
AB
CN
3
1
BC Sensing:
°
∠⋅
= 901
VV
ABAN
3
1
°−∠⋅= 301VV
ABBN
3
1
°−∠⋅= 1501VV
ABCN
3
1
CA Sensing:
°−∠
⋅=
150
1VV
ABAN
3
1
°∠⋅= 90
1VV
AB
BN
3
1
°−∠⋅= 301VV
ABCN
3
1
ACB Rotation
AN Sensing:
°∠⋅= 1201VV
ANBN
°−∠⋅= 1201VV
ANCN
BN Sensing:
°−∠⋅= 1201VV
BNAN
°∠⋅= 1201VV
BNCN
CN Sensing:
°∠⋅= 1201VV
CNAN
°−∠⋅= 1201VV
CNBN
AB Sensing:
°∠⋅= 301VV
ABAN
3
1
°∠⋅=
1501VV
ABBN
3
1
°−∠⋅=
901VV
ABCN
3
1
BC Sensing:
°−∠⋅= 90
1VV
ABAN
3
1
°∠⋅= 301VV
ABBN
3
1
°∠⋅= 1501VV
ABCN
3
1
CA Sensing:
°∠⋅= 1501VV
ABAN
3
1
°−∠⋅= 901
VV
ABBN
3
1
°∠⋅= 301VV
ABCN
3
1
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 Configuration