13.10 Calculation Formula
202
Voltage zero-phase component Uzero [V]
The fundamental RMS voltage (phase voltage) from harmonic calculations is used for U1, U2, and U3.
For 3-phase 3-wire connections, the value is detected as a line voltage and then converted to a phase voltage.
At the zero-phase, seq2=0, seq3=0
=U1 phase angle, =U2 phase angle, =U3 phase angle
Voltage positive-phase component Upos [V]
The fundamental RMS voltage (phase voltage) from harmonic calculations is used for U1, U2, and U3.
For 3-phase 3-wire connections, the value is detected as a line voltage and then converted to a phase voltage.
At the positive-phase, seq2=120, seq3=240
=U1 phase angle, =U2 phase angle, =U3 phase angle
Voltage negative-phase component Uneg [V]
The fundamental RMS voltage (phase voltage) from harmonic calculations is used for U1, U2, and U3.
For 3-phase 3-wire connections, the value is detected as a line voltage and then converted to a phase voltage.
At the negative-phase, seq2=240, seq3=120
=U1 phase angle, =U2 phase angle, =U3 phase angle
Voltage unbalance factor, Current unbalance factor
Single
Phase
2-wire
1P2W
Single
Phase
3-wire
1P3W
3-Phase, 3-Wire,
2-Measurement
3P3W2M
3-Phase, 3-Wire,
3-Measurement
3P3W3M
3-Phase, 4-Wire
3P4W
Voltage
unbalance factor
Uunb0 [%]
Voltage
unbalance factor
Uunb [%]
Same as 3P3W3M
(U
31
is computed by
means of vector calcula-
tions.)
where where
• For U12, U23, and U31, use the fundamental wave RMS voltage from the calculated harmonics results.
• For three-phase 4-wire configurations, this is detected using phase-to-neutral voltage but can be converted and
calculated using line-to-line voltage.
Current
unbalance factor
Iunb0 [%]
Current
unbalance factor
Iunb [%]
Same as 3P3W3M
(I
31
is computed by
means of vector calcula-
tions.)
where where
• For I12, I23, and I31, use the fundamental wave RMS current (line-to-line current) from the calculated harmonics
results.
• For three-phase 3-wire and three-phase 4-wire configurations this is detected using phase current, but can be con-
verted and calculated using line-to-line current.
Uunb0
Uzero
Upos
----------------
100=
Uunb0
Uzero
Upos
----------------
100=
Uunb0
Uzero
Upos
----------------
100=
Uunb
136––
136–+
----------------------------- 100=
U
4
12
U
4
23
U
4
31
++
U
2
12
U
2
23
U
2
31
++
2
--------------------------------------------=
Uunb
136––
136–+
----------------------------- 100=
U
4
12
U
4
23
U
4
31
++
U
2
12
U
2
23
U
2
31
++
2
--------------------------------------------=
Iunb0
Izero
Ipos
----------------
100=
Iunb0
Izero
Ipos
----------------
100=
Iunb0
Izero
Ipos
----------------
100=
Iunb
136––
136–+
---------------------------- - 100=
I
4
12
I
4
23
I
4
31
++
I
2
12
I
2
23
I
2
31
++
2
--------------------------------------------=
Iunb
136––
136–+
----------------------------- 100=
I
4
12
I
4
23
I
4
31
++
I
2
12
I
2
23
I
2
31
++
2
--------------------------------------------=
Uzero
1
3
-- -
U1 cos U2 seq2+cos U3 seq3+cos++
2
U1 sin U2 seq2+sin U3 seq3+sin++
2
+
=
Upos
1
3
-- -
U1 cos U2 seq2+cos U3 seq3+cos++
2
U1 sin U2 seq2+sin U3 seq3+sin++
2
+
=
Uneg
1
3
-- -
U1 cos U2 seq2+cos U3 seq3+cos++
2
U1 sin U2 seq2+sin U3 seq3+sin++
2
+
=