Power Logger
Measurement
Theory
49
Waveform
The angle given in the waveform function is based on the following formula.
+
=
2
1
2
1
1
arctan
Q
P
P
ϕ
Angle
between
Q
1
reactive power of first harmonic
P
1
active power of first harmonic
Power Measurements
)
cos(
40
1
k
k
k
k
I
V
P
ϕ
×
×
=
∑
=
active power (200 ms average values)
V
k
, I
k
,
ϕ
k
values of harmonics
∑
=
→
=
M
i
i
M
P
M
P
1
1
active power over average interval
Pi to single 200 ms values
M to number of values
3
2
1
P
P
P
P
tot
+
+
=
total
active
power
3
2
1
P
P
P
P
tot
+
+
=
total active power Blondel (Aron)
)
sin(
40
1
k
k
k
k
I
V
Q
ϕ
×
×
=
∑
=
reactive power (200 ms average values)
Vk, Ik,
ϕ
k values of harmonics
∑
=
=
M
i
i
Q
M
Q
1
1
reactive power over average time
Summary of Contents for 1735
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