13.8 Calculation Formula
238
-7. Harmonic Voltage (Uharm), Harmonic Current (Iharm), Inter-harmonic voltage
(Uiharm), Inter-harmonic current (Iiharm)
Single Phase 2-wire
1P2W
Single
Phase
3-wire
1P3W
3-Phase,
3-Wire,
2-Measure-
ment
3P3W2M
3-Phase,
3-Wire,
3-Measure-
ment
3P3W3M
3-Phase,
4-Wire
3P4W
Uharm[Vrms]=Uck
(including adjacent inter-harmonic com-
ponents)
U
1k
U
4k
U’ck=
Uck=
U
1k
U
2k
U
4k
U
12k
U
32k
U
4k
U
12k
U
23k
U
31k
U
4k
U
1k
U
2k
U
3k
U
4k
• For 3-phase 3-wire connections, indicates the result of harmonic calculations using the
line voltage. For 3-phase 4-wire connections, indicates the result of harmonic calculations
using the phase voltage.
• The harmonic voltage content percentage is calculated by dividing the harmonic voltage
component for the specified order by the fundamental voltage component and multiplying
by 100.
• When k = 0, the Uc0 component is treated as DC for order 0.
• For 60 Hz measurement, the value 10 in the formula is replaced with 12. For 400 Hz mea-
surement, the value 10 in the formula is replaced with 80.
Iharm[Arms]=Ick
(including adjacent inter-harmonic com-
ponents)
I
1k
I
4k
I’ck=
Ick=
I
1k
I
2k
I
4k
I
1k
I
2k
I
4k
I
1k
I
2k
I
3k
I
4k
I
1k
I
2k
I
3k
I
4k
• The harmonic current content percentage is calculated by dividing the harmonic current
component for the specified order by the fundamental current component and multiplying
by 100.
• When k = 0, the Ic0 component is treated as DC for order 0.
• When using 60 Hz, the number "10" in the expression above is "12." When using 400 Hz,
the number "10" in the expression above is "80."
Uiharm[Vrms]=Uck
U
1k
U
4k
U’ck=
Uck=
U
1k
U
2k
U
4k
U
12k
U
32k
U
4k
U
12k
U
23k
U
31k
U
4k
U
1k
U
2k
U
3k
U
4k
• The values 3 and -3 in the formula apply to 50 Hz measurement and are replaced with 4
and -4 for 60 Hz measurement. In the formula, k = 0.5, 1.5, 2.5, 3.5,...
• For 3-phase 3-wire connections, indicates the result of harmonic calculations using the
line voltage. For 3-phase 4-wire connections, indicates the result of harmonic calculations
using the phase voltage.
• The inter-harmonic voltage content percentage is calculated by dividing the inter-harmonic
voltage component for the specified order by the fundamental voltage component and
multiplying by 100.
• For 60 Hz measurement, the value 10 in the formula is replaced with 12.
Phase System
Items
Uckr
(
)
2
Ucki
(
)
2
+
{
}
U
′
2
c 10k n
+
(
)
10
⁄
(
)
n
1
–
=
1
Ickr
(
)
2
Icki
(
)
2
+
{
}
I
′
2
c 10k n
+
(
)
10
⁄
(
)
n
1
–
=
1
Uckr
(
)
2
Ucki
(
)
2
+
{
}
U
′
2
c 10k n
+
(
)
10
⁄
(
)
n
3
–
=
3
HIOKI PQ3198A961-03
Summary of Contents for PQ3198
Page 2: ...HIOKI PQ3198A961 03...
Page 6: ...Contents iv HIOKI PQ3198A961 03...
Page 20: ...Usage Notes 14 HIOKI PQ3198A961 03...
Page 44: ...2 3 Display Items and Screen Types 38 HIOKI PQ3198A961 03...
Page 58: ...3 8 Turning the Power On and Off Setting the Default Language 52 HIOKI PQ3198A961 03...
Page 102: ...5 8 Factory Settings 96 HIOKI PQ3198A961 03...
Page 198: ...12 4 Downloading Recorded Data to Computer 192 HIOKI PQ3198A961 03...
Page 264: ...14 4 Disposing of the Instrument 258 HIOKI PQ3198A961 03...
Page 296: ...A32 HIOKI PQ3198A961 03...
Page 299: ...Index Index 3 Index Wiring 73 Z Zero adjustment 53 Zero phase A28 HIOKI PQ3198A961 03...
Page 300: ...Index Index 4 HIOKI PQ3198A961 03...
Page 301: ...HIOKI PQ3198A961 03...
Page 302: ...HIOKI PQ3198A961 03...
Page 303: ...HIOKI PQ3198A961 03...
Page 304: ...www hioki com HIOKI PQ3198A961 03...
