Hioki 3390 - Page 178

10.5 Calculation Formula Specifications
170
(i) :.......... Measurement channel
k :............ Order of analysis
r : ............ Real part of complex result of FFT
i :............. Imaginary part of complex result of FFT
Harmonic voltage phase angle and harmonic current phase angle are corrected to the fundamental waveform of the harmonic sync source
that serves as a phase reference point of 0° (except when an external harmonic sync source is used).
3.Harmonic Measurement Calculation Formulas
1P2W 1P3W 3P3W2M 3P3W3M 3P4W
Harmonic
voltage
Harmonic
voltage
Phase angle
Harmonic
current
Harmonic
current
Phase angle
Harmonic
effective
power
Same as 1P2W
- - - - - -
Harmonic
reactive power
(only used
internally)
Same as 1P2W
- - - - - -
Harmonic
voltage
Current phase
angle
- - - - - -
Items
Phase
System
U
ki()
U
kr i()
()
2
U
Ki i()
()
2
+=
θ U
ki()
U
kr i()
U
ki i()
–
----------------


1–
tan=
I
ki()
I
kr i()
()
2
I
Ki i()
()
2
+=
θ I
ki()
I
kr i()
I
ki i()
–
--------------


1–
tan=
P
ki()
U
kr i()
I
kr i()
U
ki i()
I
ki i()
×+×=
P
k1
1
3
---U
kr1
U
kr3
–()I
kr1
1
3
---+× U
ki1
U
ki3
–()I
ki1
×=
P
k2
1
3
---U
kr2
U
kr1
–()I
kr2
1
3
---+× U
ki2
U
ki1
–()I
ki2
×=
P
k3
1
3
---U
kr3
U
kr2
–()I
kr3
1
3
---+× U
ki3
U
ki2
–()I
ki3
×=
P
k4
U
kr4
I
ki4
U
ki4
I
kr4
×+×=
P
k12
P
k1
P
k2
+=
P
k34
P
k3
P
k4
+=
P
k123
P
k1
P
k2
P
k3
++=
Q
ki()
U
kr i()
I
ki i()
U
ki i()
I
kr i()
×–×=
Q
k1
1
3
---U
kr1
U
kr3
–()I
ki1
1
3
---
–× U
ki1
U
ki3
–()I
kr1
×=
Q
k2
1
3
---U
kr2
U
kr1
–()I
ki2
1
3
---
–× U
ki2
U
ki1
–()I
kr2
×=
Q
k3
1
3
---U
kr3
U
kr2
–()I
ki3
1
3
---
–× U
ki3
U
ki2
–()I
kr3
×=
Q
k4
U
kr4
I
ki4
U
ki4
I
kr4
×–×=
Q
k12
Q
k1
Q
k2
+=
Q
k34
Q
k3
Q
k4
+=
Q
k123
Q
k1
Q
k2
Q
k3
++=
θ
ki()
θ I
ki()
θ U
ki()
–=
θ
k12
Q
k12
P
k12
-----------


1–
tan=
θ
k34
Q
k34
P
k34
-----------


1–
tan=
θ
k123
Q
k123
P
k123
--------------


1–
tan=