71
Quantities
Formulas
Remarks
AC fundamental apparent power
(Sf
L
)
1
1
H
L
H
L
L
I
V
Sf
−
−
×
=
3
2
1
Sf
Sf
Sf
Sf
T
+
+
=
L = 1, 2 or 3
AC power factor (PF
L
)
L
L
L
S
P
PF
=
L = 1, 2 or 3
AC active power unbalance (Pu)
+
−
=
P
Pf
P
T
U
AC harmonic active powers (P
H
)
T
T
H
Pf
P
P
−
=
DPF
L
/ Cos
ϕ
L
AC
DPF
L
= cos
ϕ
L
= cos
ϕ
(I
L-H1
,V
L-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 (V
Ldc
)
∑
=
×
=
n
x
x
c
Ld
c
d
L
V
n
T
V
1
.
.
.
.
1
]
[
L = 1, 2, 3 or E
DC current (I
Ldc
)
∑
=
×
=
n
x
x
c
Ld
c
d
L
I
n
T
I
1
.
.
.
.
1
]
[
When there is no current sensor on I
N
, I
N
is calculated:
I
Ndc
= I
1dc
+ I
2dc
+ I
3dc
L = 1, 2, 3 or N
Energy measurements
AC consumed active energy (E
P+
)
∑
+
+
=
x
T
P
P
E
AC generated active energy (E
P-
)
( )
∑
−
−
×
−
=
1
x
T
P
P
E
AC reactive energy in quadrant
1 (E
Q1
)
∑
=
1
1
x
q
T
Q
Q
E
AC reactive energy in quadrant
2 (E
Q2
)
∑
=
2
2
x
q
T
Q
Q
E
AC reactive energy in quadrant
3 (E
Q3
)
( )
∑
×
−
=
1
3
3
x
q
T
Q
Q
E
AC reactive energy in quadrant
4 (E
Q4
)
( )
∑
×
−
=
1
4
4
x
q
T
Q
Q
E
AC consumed apparent energy
(E
S+
)
∑
+
+
=
x
T
S
S
E
AC generated apparent energy
(E
S-
)
∑
−
−
=
x
T
S
S
E
DC consumed energy (E
Pdc+
)
∑
+
+
=
x
Tdc
P
P
E
dc
DC consumed energy (E
Pdc-
)
( )
∑
−
−
×
−
=
1
x
Tdc
P
P
E
dc
Table 22
T is the period
n is the number of samples.
*: The direct, inverse, and homopolar voltages and currents (V+, I+, V-, I-
, V°, I°) are calculated using the Fortescue transform.
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].
Summary of Contents for PEL 106
Page 1: ...Power energy logger EN User s manual PEL 106 ...
Page 34: ...34 Three phase 3 wire balanced 3P 3W b U12 U23 U31 f P Q S PF P Q S tan ϕ ϕ I1 U12 I1 I2 I3 ...
Page 36: ...36 Three phase 4 wire wye balanced 3P 4WYb I1 I2 I3 V1 V2 V3 VN U12 U23 U31 f P Q S tan ϕ ...
Page 37: ...37 DC 2 wire dC 2W DC 3 wire dC 3W P Q S PF ϕ I1 V1 P Q S tan ϕ P I V VN I1 I2 IN ...
Page 38: ...38 DC 4 wire dC 4W P I1 I2 I3 IN V1 V2 V3 VN V1 V2 VN ...
Page 46: ...46 Two phase 3 wire 1P 3W I1 I2 V1 V2 U12 VN P Q S P Q S ...
Page 49: ...49 P Q S ...
