Hioki PW3336-01 - Page 172

5.5 Calculation Formulas Specifications
166
(4) Harmonic measurement parameter calculation formulas
Item Calculation formulas
Harmonic voltage
Harmonic voltage content
percentage
Harmonic voltage phase angle
Total harmonic voltage distortion
Inter-channel voltage fundamental
wave phase difference
Harmonic current
Harmonic current content
percentage
Harmonic current phase angle
Total harmonic current distortion
Inter-channel current fundamental
wave phase difference
Harmonic active power
Harmonic active power content per-
centage
Fundamental wave voltage current
phase difference
Fundamental wave apparent power
Fundamental wave reactive power
2
)i(ki
2
)i(kr)i(k
)U()U(U ＋=
100
U
U
U
)i(1
)i(k
)i(HDk
×=
)
U
U
(tanUθ
)i(ki
)i(kr
1
)i(k
−
−
=
100
U
)U(
U
)i(1
K
2k
2
)i(k
)i(thd
×=
=
∑
)1(1)2(112
UθUθUθ −
−
=
Phase difference of channel 2 relative to channel 1:
)1(1)3(113
UθUθUθ −
−
=
Phase difference of channel 3 relative to channel 1:
2
)i(ki
2
)i(kr)i(k
)I()I(I ＋=
100
I
I
I
)i(1
)i(k
)i(HDk
×=
)
I
I
(tanIθ
)i(ki
)i(kr
1
)i(k
−
−
=
100
I
)I(
I
)i(1
K
2k
2
)i(k
)i(thd
×=
=
∑
Phase difference of channel 2 relative to channel 1:
)1(1)2(112
IθIθIθ −
−
=
)1(1)3(113
IθIθIθ −
−
=
Phase difference of channel 3 relative to channel 1:
)i(ki)i(ki)i(kr)i(kr)i(k
IUIUP ×+×=
100
P
P
P
)i(1
)i(k
)i(HDk
×=
)1()UθIθ(φ
)i(1)i(1)i(1
−− ×=
)i(1)i(1)i(1
IUS ×=
)1()IUIU(Q
)i(r1)i(i1)i(i1)i(r1)i(1
−− ×××=