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8. 6
FORMULAE
8.6.1
SINGLE PHASE FORMULAE
True rms voltage
Active power
Power factor
True rms current
Apparent power
Reactive power
where
j : number of samples corresponding to 90° electrical degrees
8.6.2
THREE PHASE FORMULAE
Equivalent three phase voltage
Three phase reactive power
Equivalent three phase current
Three phase active power
(v
)
(a
)
:
samples of voltage and current
1
1
N
i
i
39
n
V
=
( v
)²
∑
1
1
1
N
N
n
1
n
W
=
(v
) . (a
∑
1
1
1
N
n
1
i
P. F. = W
/ VA
1
1
n
1
A
=
∑
(a
)²
1
1
n
1
i
VA
= V
. A
1
1
1
N
( )
n
. ( )
a
1
VAr =
∑
v
1
n 1
n
1
i
i
V
= (V
+ V
+ V
∑
1N
2N
V
= (V
+ V
+ V
∑
12
23
=
+
2
V
V
V
where
12
23
V
= (V
+ V
)
∑
1N
2N
VAr
= (VAr
+ VAr
∑
1
(
=
+
VAr
VAr
VAr
∑
1
)/( 3 . V
A
= (VA
∑
∑
A
= VA
/ V
∑
∑
∑
W
= W
+ W
+ W
∑
1
2
(
)
=
+
W
W
W
∑
1
2
i
)
1
i
+
j
) /
3
3N
(Star)
) / 3
(Delta)
31
−
2
V
V
•
31
23
31
(Two-Phase)
+ VAr
)
2
3
(Star)
)
(Delta)
2
)
∑
(Two-phase)
(Star)
3
(Delta)
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