Hioki PQ3100 - Page 189

183
Calculation Formula
12. Harmonic power (Pharm), Harmonic reactive power (Qharm), K factor (KF)
Wiring
Item
Single phase
2-wire
1P2W
Single phase
3-wire
1P3W
3-phase 3-wire
3P3W2M
3-phase 3-wire
3P3W3M
3-phase 4-wire
3P4W
Pharm
[W]=
P
ck
P
1k
P
ck
=
ckickickrckr
IUIU ×+×
P
1k
P
2k
(
P
1k
)
(
P
2k
)
P
1k
P
2k
P
3k
During 1P3W1U
U
2
=−U
1
P
sumk
=P
1k
+P
2k
P
sumk
=P
1k
+P
2k
+P
3k
• Harmonic voltage content percentage (%):
P
Ck
/|P
C1
| × 100
(%)
• The
P
1k
,
P
2k
values of the 3P3W2M wiring are used in internal calculations, but are not displayed.
Qharm
[W]=
Q
ck
(
Q
1k
)
Q
ck
=
ckrckickickr
IUIU ×−×
(
Q
1k
)
(
Q
2k
)
(
Q
1k
)
(
Q
2k
)
(
Q
1k
)
(
Q
2k
)
(
Q
3k
)
During 1P3W1U
U
2
=−U
1
(Qsumk)=Q
1k
+Q
2k
(Qsumk)=Q
1k
+Q
2k
+Q
3k
• Harmonic reactive power
Q
ck
is used in internal calculations, but is not displayed.
KF [ ]
KF
1
KF
4
KF
c
=
( )
∑
∑
=
=
×
50
1
2
50
1
2
2
k
ck
k
ck
I
Ik
KF
1
KF
2
KF
4
KF
1
KF
2
KF
3
KF
4
•
K
factor, also referred to as multiplication factor, indicates the power loss caused due to the
harmonic current RMS value in the transformer.
c
: Measurement channel,
k
: Order of analysis,
r
: Resistance after FFT,
i
: Reactance after FFT
14
Specications