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
QP
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
kk
IVP
ϕ
××=
∑
=
active power (200 ms average values)
V
k
, I
k
, ϕ
k
values of harmonics
∑
=
→
=
M
i
iM
P
M
P
1
1
active power over average interval
Pi to single 200 ms values
M to number of values
321
PPPP
tot
++= total active power
321
PPPP
tot
++= total active power Blondel (Aron)
)sin(
40
1
kk
k
k
IVQ
ϕ
××=
∑
=
reactive power (200 ms average values)
Vk, Ik, ϕk values of harmonics
∑
=
=
M
i
i
Q
M
Q
1
1
reactive power over average time