Fluke 1735 User Manual - Page 66

The distortion power is > zero if the waveform of current is different, from the voltage waveform.

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1735 Users Manual Ptot = P1 + P2 + P3 Ptot = P1 + P3 Qtot = S2 tot − P2 tot Pi to single 200 ms values M to number of values total active power Total Active Power-Blondel (Aron) Total Reactive Power-Blondel (Aron) Stot = V12 2 + V23 2 + V312 ⋅ 3 I 2 1 + I22 + I32 I2 =− (I1 + I3 ) Total Apparent Power Blondel (Aron) circuit 50 ∑ Q = Vk × Ik × sin(ϕk ) k =1 reactive power (200 ms average values) Vk, Ik, ϕk values of harmonics ∑ Q = 1 M M Qi i =1 S =V ×I PF = λ = P S reactive power over average time apparent power power factor D = S2 − P2 −Q2 distortion power cosϕ = P1 P12 + Q12 cosine cosϕ Note The distortion power is > zero if the waveform of current is different from the voltage waveform. 56

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1735
Users Manual
56
Pi
to single 200 ms values
M
to number of values
3
2
1
P
P
P
P
tot
+
+
=
total active power
3
1
P
P
P
tot
+
=
Total Active Power-Blondel (Aron)
2
2
tot
tot
tot
P
S
Q
−
=
Total Reactive Power-Blondel (Aron)
3
2
3
2
2
2
1
2
31
2
23
2
12
I
I
I
V
V
V
S
tot
+
+
⋅
+
+
=
Total Apparent Power
)
(
3
1
2
I
I
I
+
−
=
Blondel (Aron) circuit
)
sin(
50
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
I
V
S
×
=
apparent power
S
P
PF
=
=
λ
power factor
2
2
2
Q
P
S
D
−
−
=
distortion power
2
1
2
1
1
cos
Q
P
P
+
=
ϕ
cosine cos
ϕ
Note
The distortion power is > zero if the waveform of current is different
from the voltage waveform.