217
Specifications of Equations
Equations for harmonic measurement items
Wiring
Item
1P2W 1P3W 3P3W2M 3V3A
3P3W3M
3P4W
Harmonic
voltage
U
k
(
i
)
=
U
U
kr i
ki i
( )
( )
(
)
+
(
)
2
2
Harmonic
voltage phase
angle
θU
k
(
i
)
= tan
−1
U
U
kr i
ki i
( )
( )
−
Harmonic
current
I
k
(
i
)
=
I
I
kr i
ki i
( )
( )
(
)
+
( )
2
2
Harmonic
current phase
angle
θI
k
(
i
)
= tan
−1
I
I
kr i
ki i
( )
( )
−
Harmonic
active power
P
k
(
i
)
=
U
kr
(i)
×
I
kr
(
i
)
+
U
ki
(
i
)
×
I
ki
(
i
)
P
k
(
i
)
= 1
3
(
U
kr
(
i
)
−
U
kr
(
i
+2)
)
×
I
kr
(
i
)
+ 1
3
(
U
ki
(
i
)
−
U
ki
(
i
+2)
)
×
I
ki
(
i
)
P
k
(
i
+1)
= 1
3
(
U
kr
(
i
+1)
−
U
kr
(
i
)
)
×
I
kr
(
i
+1)
+ 1
3
(
U
ki
(
i
+1)
−
U
ki
(
i
)
)
×
I
ki
(
i
+1)
P
k
(
i
+2)
= 1
3
(
U
kr
(
i
+2)
−
U
kr
(
i
+1)
)
×
I
kr
(
i
+2)
+ 1
3
(
U
ki
(
i
+2)
−
U
ki
(
i
+1)
)
×
I
ki
(
i
+2)
Same
as
1P2W
—
P
k
(
i
)(
i
+1)
=
P
k
(
i
)
+
P
k
(
i
+1)
P
k
(
i
)(
i
+1)(
i
+2)
=
P
k
(
i
)
+
P
k
(
i
+1)
+
P
k
(
i
+2)
Harmonic
reactive
power
(used in
internal
calculations
only)
Q
k
(
i
)
=
U
kr
(
i
)
×
I
ki
(
i
)
−
U
ki
(
i
)
×
I
kr
(
i
)
Q
k
(
i
)
= 1
3
(
U
kr
(
i
)
−
U
kr
(
i
+2)
)
×
I
ki
(
i
)
−
1
3
(
U
ki
(
i
)
−
U
ki
(
i
+2)
)
×
I
kr
(
i
)
Q
k
(
i
+1)
= 1
3
(
U
kr
(
i
+1)
−
U
kr
(
i
)
)
×
I
ki
(
i
+1)
−
1
3
(
U
ki
(
i
+1)
−
U
ki
(
i
)
)
×
I
kr(i+
1
)
Q
k
(
i
+2)
= 1
3
(
U
kr
(
i
+2)
−
U
kr
(
i
+1)
)
×
I
ki
(
i
+2)
−
1
3
(
U
ki
(
i
+2)
−
U
ki
(
i
+1)
)
×
I
kr
(
i
+2)
Same
as
1P2W
—
Q
k
(
i
)(
i
+1)
=
Q
k
(
i
)
+
Q
k
(
i
+1)
Q
k
(
i
)(
i
+1)(
i
+2)
=
Q
k
(
i
)
+
Q
k
(
i
+1)
+
Q
k
(
i
+2)
Harmonic
voltage/
current phase
difference
θ
k
(
i
)
=
θI
k
(
i
)
−
θU
k
(
i
)
—
θ
k
(
i
)(
i
+1)
= tan
−1
Q
P
k i i
k i i
( )
+
( )
( )
+
( )
1
1
θ
k
(
i
)(
i
+1)(
i
+2)
= tan
−1
Q
P
k i i
i
k i i
i
( )
+
( )
+
( )
( )
+
( )
+
( )
1
2
1
2
•
(
i
)
: measurement channel,
k
: analysis order,
r
: real part of FFT processed waveform,
i
: imaginary part of FFT processed waveform
•For the harmonic voltage phase angle and harmonic current phase angle, the fundamental wave of the harmonic
synchronization source that serves as the phase reference is corrected to 0
°
.
(However, this correction is not performed when the harmonic synchronization source is set to Ext.)
When the synchronization source is DC, the data refresh timing is defined as 0
°
.
If the synchronization source is set to Ext, Zph., B, D, F, or H, the rising edge or falling edge of the pulse used for
synchronization is defined as 0
°
.
•
For the harmonic voltage-vs.-current phase difference, each phase difference in 3P3W3M or 3P4W wiring mode is
calculated based on the phase voltage, regardless of whether delta conversion is set to on or off.
Specifications
HIOKI PW8001A961-00
Содержание PW8001-01
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