I
I
R
I
L
+
:=
I
10
26.52j
−
A
=
I
28.343 A
=
arg I
( )
69.34
−
deg
=
pf
cos 69.34 deg
⋅
(
)
:=
pf
35.28 %
=
P
V
I
⋅
cos 69.34 deg
⋅
(
)
⋅
:=
P
1000 W
=
Q
V
I
⋅
sin 69.34 deg
⋅
(
)
⋅
:=
Q
2652 VAR
=
S
mag
P
2
Q
2
+
:=
S
mag
2.834 kVA
=
S
V I
⋅
:=
S
1
2.65j
+
kVA
=
V t
( )
141.4 volt
⋅
sin
ω
t
⋅
(
)
⋅
:=
I
r
t
( )
V t
( )
10
Ω
⋅
:=
P
R
t
( )
V t
( ) I
r
t
( )
⋅
:=
I
T
t
( )
2
I
⋅
sin
ω
t
⋅
70 deg
⋅
+
(
)
⋅
:=
t
0 ms
⋅
0.05 ms
⋅
,
20 ms
⋅
..
:=
P t
( )
V t
( ) I
T
t
( )
⋅
:=
0
5
10
15
20
2000
1000
0
1000
2000
10 V t
( )
⋅
25 I
r
t
( )
⋅
P
R
t
( )
t
ms
Example 2.1:
M. Giesselmann, January 17, 2008
Instantaneous real, and reactive power; power factor
ms
10
3
−
sec
⋅
≡
kVA
kW
≡
V
141.4
2
volt
⋅
:=
V
100 volt
=
freq
60 Hz
⋅
:=
kVAR
kW
≡
ω
2
π
⋅
freq
⋅
:=
VAR
watt
≡
R
10
Ω
⋅
:=
X
L
3.77
Ω
⋅
:=
X
L
ω
L
⋅
=
L
X
L
ω
:=
L
10 mH
=
I
R
V
R
:=
I
R
10 A
=
arg I
R
(
)
0 deg
=
I
L
V
j X
L
⋅
:=
I
L
26.5j
−
A
=
arg I
L
(
)
90
−
deg
=
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k
0
1
..
:=
I
Res
10
3
−
amp
⋅
I
R
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 Spring '08
 GIESSELMANN
 Volt, Watt

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