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Quantities Formulas Remarks
AC fundamental apparent power
(SfL)
11 HLHLL
IVSf
×=
321
SfSfSfSf
T
++=
L = 1, 2 or 3
AC power factor (PFL)
L
L
L
S
P
PF =
L = 1, 2 or 3
AC active power unbalance (Pu)
+
= PPfP
TU
AC harmonic active powers (PH)
TTH
PfPP =
DPFL / Cos ϕL AC
DPFL = cos ϕL = cos ϕ (IL-H1,VL-H1)
T
T
T
Sf
Pf
=
ϕ
cos
L = 1, 2 or 3
Tan Φ AC
T
T
P
Q
Tan =Φ
DC measurements
DC voltage (VLdc)
=
×=
n
x
x
cLd
cd
L
V
n
TV
1
..
..
1
][
L = 1, 2, 3 or E
DC current (ILdc)
=
×=
n
x
x
cLd
cd
L
I
n
TI
1
..
..
1
][
When there is no current sensor on IN, IN is calculated:
INdc = I1dc + I2dc + I3dc
L = 1, 2, 3 or N
Energy measurements
AC consumed active energy (EP+)
+
+
=
x
TP
PE
AC generated active energy (EP-)
( )
×= 1
x
TP
PE
AC reactive energy in quadrant
1 (EQ1)
=
1
1
x
q
TQ
QE
AC reactive energy in quadrant
2 (EQ2)
=
2
2
x
q
TQ
QE
AC reactive energy in quadrant
3 (EQ3)
( )
×= 1
3
3
x
q
TQ
QE
AC reactive energy in quadrant
4 (EQ4)
( )
×= 1
4
4
x
q
TQ
QE
AC consumed apparent energy
(ES+)
+
+
=
x
TS
SE
AC generated apparent energy
(ES-)
=
x
TS
SE
DC consumed energy (EPdc+)
+
+
=
x
TdcP
PE
dc
DC consumed energy (EPdc-)
( )
×= 1
x
TdcP
PE
dc
Table 21
T is the period
n is the number of samples.
*: The direct, inverse, and homopolar voltages and currents (V+, I+, V-, I-
V1, V2, V3 are the phase-neutral voltages of the installation measured. [V1=VL1-N ; V2=VL2-N ; V3=VL3-N].
The lower-case v1, v2, v3 designate the sampled values.
U1, U2, U3 are the voltages between phases of the installation measured.
Lower-case designates the sampled values [u12 = v1-v2 ; u23= v2-v3 ; u31=v3-v1].
67


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