185
Calculation Formula
14. Voltage THD (Uthd-F/Uthd-R), Current THD (Ithd-F/Ithd-R)
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
Uthd-F
[%]=THD-F_
U
c
THD-F_U
1
THD-F_U
4
THD-F_U
c
=
100
)1(
2
2
×
∑
=
c
K
k
ck
U
U
THD-F_U
1
THD-F_U
2
THD-F_U
4
THD-F_U
1
THD-F_U
2
THD-F_U
3
THD-F_U
4
THD-F_U
12
THD-F_U
23
THD-F_U
31
THD-F_U
1
THD-F_U
2
THD-F_U
3
THD-F_U
4
During
1P3W1U
Without
THD-F_
U
2
• For 3P3W2M wiring, it is assumed that
U
1
−U
2
+U
3
= 0
Ithd-F
[%]=THD-F_
I
c
THD-F_I
1
THD-F_I
4
THD-F_I
c
=
100
)1(
2
2
×
∑
=
c
K
k
ck
I
I
THD-F_I
1
THD-F_I
2
THD-F_I
4
THD-F_I
1
THD-F_I
2
THD-F_I
3
THD-F_I
4
During
1P3W1U
Without
THD-F_
I
2
• For 3P3W2M wiring, it is assumed that
I
1
+I
2
+I
3
= 0
.
• The numerator of the mathematical formula is recorded but is not displayed (MAX, MIN, AVG)
Uthd-R
[%]=THD-R_
U
c
THD-R_U
1
THD-R_U
4
THD-R_U
c
=
100
1
2
2
2
×
∑
∑
=
=
K
k
ck
K
k
ck
U
U
THD-R_U
1
THD-R_U
2
THD-R_U
4
THD-R_U
1
THD-R_U
2
THD-R_U
3
THD-R_U
4
THD-R_U
12
THD-R_U
23
THD-R_U
31
THD-R_U
1
THD-R_U
2
THD-R_U
3
THD-R_U
4
During
1P3W1U
Without
THD-R_
U
2
• For 3P3W2M wiring, it is assumed that
U
1
−U
2
+U
3
= 0
Ithd-R
[%]=THD-R_
I
c
THD-R_I
1
THD-R_I
4
THD-R_I
c
=
100
1
2
2
2
×
∑
∑
=
=
K
k
ck
K
k
ck
I
I
THD-R_I
1
THD-R_I
2
THD-R_I
4
THD-R_I
1
THD-R_I
2
THD-R_I
3
THD-R_I
4
• For 3P3W2M wiring, it is assumed that
I
1
+I
2
+I
3
= 0
.
• The numerator of the mathematical formula is recorded but is not displayed (MAX, MIN, AVG)
c:
Measurement channel,
K
: Total number of analyzed orders,
k
: Analysis order, (1): Harmonic calculation fundamental
wave (1st order)
14
Specications