Fluke 1735 User Manual - Page 65

Measurement Theory, Waveform, Power Measurements

Page 65 highlights

Power Logger Measurement Theory Measurement Theory The following formulas are the basics of the measuring values: Voltage and current measurement ∫ VRMS = 1 T v 2 dt ∫ IRMS = 1 T 2 i dt I N = I1 + I2 + I3 RMS value of voltages RMS value of currents RMS value of neutral-conductor current Neutral is calculated when not measured, i.e., no 4phase Flexi set is connected. Waveform The angle given in the waveform function is based on the following formula. ⎡ ϕ = arctan⎢ P1 ⎤ ⎥ ⎢⎣ P12 + Q12 ⎥⎦ Angle between Q1 reactive power of first harmonic P1 active power of first harmonic Power Measurements 50 ∑ P = Vk × Ik × cos(ϕk ) active power (200 ms average values) k =1 Vk, Ik, ϕk values of harmonics ∑ PM =1 M M→ Pi i =1 active power over average interval 55

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Power Logger
Measurement Theory
55
Measurement Theory
The following formulas are the basics of the measuring values:
Voltage and current measurement
=
dt
v
T
V
RMS
2
1
RMS value of voltages
dt
i
T
I
RMS
2
1
=
RMS value of currents
3
2
1
I
I
I
I
N
+
+
=
RMS value of neutral-conductor current
Neutral is calculated when not measured, i.e., no 4-
phase Flexi set is connected.
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(
50
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