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4.3
Calculation of the Measurands
Table 4-6
Calculation of the Measurands
Measurand
RMS voltage
Unbalanced voltage
RMS current
Unbalanced current
Active power
Reactive power
SICAM MMU 7KG9663, Device Manual
E50417-H1040-C514-A3, Edition 01.2016
Formula
N 1
–
2
1
V
v
---- -
=
rms
a
N
a
=
0
1
–
3 6β
–
×
V
unbal
=
---------------------------- -
1
+
3 6β
–
N 1
–
2
1
I
i
---- -
=
rms
a
N
a
=
0
1
–
3 6β
–
I
×
unbal
=
---------------------------- -
1
+
3 6β
–
N 1
–
1
×
--- -
P
=
v
i
a
a
N
a
=
0
N 1
–
1
×
--- -
Q
=
v
i
a ΔNc
a
–
N
a
=
0
Nc
ΔN c
=
------ -
with
4
N = 320; number of the measuring points via
one RMS value calculation mode (5 periods
and averaging over 5 measuring windows)
V
β =
100
%
( V
I
100
%
β =
( I
Simple multiplication of sampled voltage and
current values with subsequent calculation of
a sum
Calculation same as active power but with 90°
phase difference between V and I, additional
fault for distortion
N = 320; number of the measuring points via
one RMS value calculation mode (5 periods
and averaging over 5 measuring windows)
Nc = 64; number of measuring points in one
period
ΔNc = 16 samples at 90° (phase difference
V to I)
4 Measurands and Characteristics
4.3 Calculation of the Measurands
Note
4
4
4
V
+
V
+
12_fund
23_fund
31_fund
4
4
4
V
V
+
+
12_fund
23_fund
31_fund
4
4
4
I
I
+
+
12_fund
23_fund
31_fund
4
4
4
I
I
+
+
12_fund
23_fund
31_fund
2
)
2
)
37
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