Hioki PW8001-11 - Equations for Harmonic Measurement Items

217
Specications of Equations
Equations for harmonic measurement items
Wiring
Item
1P2W 1P3W 3P3W2M 3V3A 3P3W3M 3P4W
Harmonic
voltage
U
k(i)
=
UU
kr
ik
ii() ()
()
+
()
22
Harmonic
voltage phase
angle
θU
k(i)
= tan
−1
U
U
kr i
ki i
()
()
−








Harmonic
current
I
k(i)
=
II
kr
ik
ii() ()
()
+
()
22
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
di󰀨erence
θ
k(i)
= θI
k(i)
− θU
k(i)
—
θ
k(i)(i+1)
= tan
−1
Q
P
ki i
ki i
()
+
()
()
+
()








1
1
θ
k(i)(i+1)(i+2)
= tan
−1
Q
P
ki ii
ki ii
()
+
()
+
()
()
+
()
+
()








12
12
•
(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 dened 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 dened as 0
°
.
• For the harmonic voltage-vs.-current phase di󰀨erence, each phase di󰀨erence in 3P3W3M or 3P4W wiring mode is
calculated based on the phase voltage, regardless of whether delta conversion is set to on or o󰀨.
Specications
HIOKI PW8001A961-00