Basler BE1-11m - Page 309

9424200996 53-3
BE1-11m Configuration
For Sensing Type: Four-wire
)
cos(IVWatts
AAANA
φ=
)
cos(I
VWatts
B
BBN
B
φ
=
)cos(IVWatts
CCCNC
φ=
C
B
A3
WWWWatts
++=
φ
)sin(IVVars
AAANA
φ=
)sin(IVVars
BBBNB
φ=
)
sin(I
V
Vars
CCCNCA
φ
=
CBA3
VarsVarsVarsVars ++=
φ
where:
XPNP
IV ∠−∠=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
°∠
⋅= 1201
VV
AN
CN
BN Sensing:
°∠⋅= 1201V
V
BNAN
°−
∠⋅= 1201VV
BNCN
CN Sensing:
°−∠⋅= 1201VV
CNAN
°∠⋅= 1201VV
CNBN
AB Sensing:
°−
∠⋅=
301
VV
ABAN
3
1
°−∠⋅=
1501VV
ABBN
3
1
°
∠⋅= 901
VV
ABCN
3
1
BC Sensing:
°∠⋅= 901VV
ABAN
3
1
°−∠
⋅= 30
1VV
ABBN
3
1
°−∠⋅= 1501VV
ABCN
3
1
CA Sensing:
°−∠⋅= 1501VV
ABAN
3
1
°∠⋅= 901VV
ABBN
3
1
°−∠⋅= 30
1VV
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