Hioki PW3335 - Page 168

5.5 Calculation Formulas Specifications
162
(4) Harmonic measurement parameter calculation formulas
Item Calculation formulas
Harmonic voltage
Harmonic voltage content
percentage
Harmonic voltage phase angle
Total harmonic voltage distortion
Harmonic current
Harmonic current content
percentage
Harmonic current phase angle
Total harmonic current distortion
Harmonic active power
Harmonic active power content
percentage
Fundamental wave voltage current
phase difference
Harmonic voltage current phase
difference
Fundamental wave apparent power
Fundamental wave reactive power
Fundamental wave power factor
k: Analysis order; K: Maximum analysis order; r: Real part after FFT; i: Imaginary part after FFT;
sic: Polarity symbol, assigned based on the fundamental wave reactive power Q
1
polarity
Symbol [None]:Current lags voltage (LAG).
Symbol [-]: Current leads voltage (LEAD).
2
ki
2
krk
)()( UUU ＋=
100×=
1
k
HDk
U
U
U
)(tan=
ki
kr
1
k
U
U
θU
－
－
100×
)(
=
1
K
2=k
2
k
thd
∑
U
U
U
2
ki
2
krk
)()(= III ＋
100×=
1
k
HDk
I
I
I
)(tan=
ki
kr
1
k
I
I
θI
－
－
100×
)(
=
1
K
2=k
2
k
thd
∑
I
I
I
kikikrkrk
×+×= IUIUP
100×=
1
k
HDk
P
P
P
)1(×)(=
111
－－θUθIφ
)(
kkk
θUθIφ −=
111
IUS ×=
)1(×)××(=
r1i1i1r11
－－ IUIUQ
|cos|=
1sic1
φλ