Hioki 3169-20 Instruction Manual page 189

•
• The power flow direction is indicated using the polarity signs
• If
• If
Basic Formulae for Harmonic
Processing
Item
Voltage
U
k
U
U [Vrms]
φ
Voltage
U
k
phase
tan
angles
φ
U
[deg]
*1
Current I
k
I
[Arms]
φ
Current
I
k
phase
tan
angles
φ
I [deg]
*1
Power P U
k kr
P
[W]
Reactive The reactive-power-meter
Q
k
power method is used.
Q U
[var]
kr
*3
*2
Apparent
S
k
P
power
S [VA]
*3
Harmonic Voltage
U
k
voltage
Current I
content
k
[%]
Power
P
k
: Line to line voltage (phase to neutral voltage for a three-
U
phase 4-wire line);
voltage/average current within the circuit;
(detected by the reactive-power-meter method, no indication
for lag, or a minus sign indicated for lead);
from a virtual neutral point;
ber of samples; : Sample point No.;
s
a cycle (128)
for active power : "+" indicates consumption and "-" indicates
P
regeneration.
<| | due to a measurement error, unbalance, or other factor,
S P
the 3169-20/21 will process data such that
= 1.
=0, the instrument processes the data such that PF = over.
S
k
th harmonic
2 2
U
+
kr ki
 U 
kr
-1
 
------------ -
 U 
–
ki
2 2
I I
+
kr ki
I
 
kr
-1
 
--------- -
 I 
–
ki
I U I
x + x
kr ki ki
The reactive-power-meter
method is not used.
I U I
x - x
ki ki kr
S
U
2 2
k
Q
+
k k
/ U x 100 (%)
1
I
/ x 100 (%)
1
/ P x 100 (%)
1
: Line to line current;
I
: Measurement channel;
i
: Number of samples in
m
U
K
--
I
K
--
P
K
--
2 2
P
–
k k
--
x I
k
--
181
13.1 Formulae
/ : Average
U I
ave ave
: Polarity of lead/lag
si
: Phase voltage
u
: Num-
M
=| |, =0, and PF
S P Q
Total up to the 40th
40
∑ 2
( )
U
k
k = 1
--
40
2
∑
( )
I
k
k = 1
--
40
∑
P
k
k = 1
--
--
--
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