Hioki 3169-20 - Formulae

180
13.1 Formulae
Instantaneous-Value Formulae
*1: Provided that
U
1s
+
U
2s
+
U
3s
= 0
*2: Provided that
I
1s
+
I
2s
+
I
3s
= 0
13.1 Formulae
Wiring
setting
Item
Single-phase 2-wire Single-phase
3-wire
Three-phase 3-wire Three-phase
4-wire
1P2W 1P3W 3P3W2M 3P3W3M 3P4W,3P4W4I
Voltage
U
[Vrms]
U
1
U
1
U
2
U
1
U
2
U
3
(
U
3s
=
U
1s
-
U
2s
)
*1
U
1
(
U
1s
=
u
1s
-
u
2s
)
U
2
(
U
2s
=
u
2s
-
u
3s
)
U
3
(
U
3s
=
u
3s
-
u
1s
)
U
1
U
2
U
3
U
ave
=
U
ave
=
Current
I
[Arms]
I
1
I
1
I
2
I
1
I
2
I
3
(
I
3s
=-
I
1s
-
I
2s
)
*2
I
1
I
2
I
3
I
4
(3P4W4I only)
Active
power
P
[W]
P
1
P
1
+
P
2
P
1
+
P
2
+
P
3
U
i
represents the phase to neu-
tral voltage.
Reactive
power
Q
[var]
Q
1
The reactive-power-meter
method is not used.
The reactive-power-meter
method is used.
Q
1
=
Q
1
+
Q
2
Q
1
+
Q
2
+
Q
3
U
i
represents the phase to neu-
tral voltage.
Apparent
power
S
[VA]
S
1
S
1
+
S
2
U
i
represents the
line to line volt-
age.
U
i
represents the
line to line volt-
age.
S
1
+
S
2
+
S
3
U
i
represents
the phase to
neutral volt-
age.
The reactive-power-meter
method is not used.
S
i
=
U
i
x
I
i
The reactive-power-meter
method is used.
Power fac-
tor
PF
U
i
1
M
-----
U
is
()
2
s 0=
M1–
∑
=
U
1
U
2
+
2
---------------
U
1
U
2
U
3
++
3
-------------------------
I
i
1
M
-----
I
is
()
2
s 0=
M1–
∑
=
I
ave
I
1
I
2
+
2
-----------
=
I
ave
I
1
I
2
I
3
++
3
-------------------
=
P
i
1
M
-----
U
is
I
is
×()
s 0=
M1–
∑
=
S
2
P
2
–
Q
i
S
i
2
P
i
2
–=
1
M
-----
U
is
I
i
s
m
4
-----+


×



s 0=
M 1–
∑
3
3
--------
S
1
S
2
S
3
++()
3
3
--------
S
1
S
2
S
3
++()
S
i
P
i
2
Q
i
2
+=
P
2
Q
2
+
PF
si
P
S
----
=