given- W=4 1 and 2-2 + 14 (054+ where XL L=24 {622 2X4=8₂2 1 = ux% 8 find the steady state current XL = WL Xc = ㅗ WC хс (=+F 8 • 22 and source power factor (Cosp in value of element connected parallel with the source will giver a power factor = 0.8 lagging. that

Power System Analysis and Design (MindTap Course List)
6th Edition
ISBN:9781305632134
Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Chapter2: Fundamentals
Section: Chapter Questions
Problem 2.7P: Let a 100V sinusoidal source be connected to a series combination of a 3 resistor, an 8 inductor,...
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to tal impedance
Zeq
Z +2
i =
F
=
4-2439/45°
3.2998/-45°
A
i = 4,2439 Cos (4+ +45°) A
Steady State Value
4.24393 A
√2
Previously
3.2998/-45° a
14
=
Source power factor = cos(45°)
= 0.707 leading
0.8 lagging
new power factor
means
Zaq
"
active power = P =
we have to connect
inductor (41)
Reactiver power
OLIE
OL
=
new Reactiver power
=
L₁ =
14 X 3 X 0.707
√2
21W
= 0 = 21 tanus'
21 VAR
= 0₁ = 21 tan [(05/018]
= 15.75 VAR
21-15.75 = 5.25 VAR
= WL₁
=
5.25
4
= 1.3125 H
Ang
Transcribed Image Text:to tal impedance Zeq Z +2 i = F = 4-2439/45° 3.2998/-45° A i = 4,2439 Cos (4+ +45°) A Steady State Value 4.24393 A √2 Previously 3.2998/-45° a 14 = Source power factor = cos(45°) = 0.707 leading 0.8 lagging new power factor means Zaq " active power = P = we have to connect inductor (41) Reactiver power OLIE OL = new Reactiver power = L₁ = 14 X 3 X 0.707 √2 21W = 0 = 21 tanus' 21 VAR = 0₁ = 21 tan [(05/018] = 15.75 VAR 21-15.75 = 5.25 VAR = WL₁ = 5.25 4 = 1.3125 H Ang
given
W=4
where
and
أحمد
+ 114 (054 +
дея
2-2
W=4
XL =
Xc =
+
in
ра
that will giver
= 0.8 ragging.
1
22
L=24
142.0
652
WL
Z =
WC
XL
ЧХ Д
8
find the steady state current
and source power factor (Cosø)
value of element connected
rallel with the source
a power factor
= 2 x 4 = 82
=
ال
T
хс
(= + F
8
622
-
Z
20
-jzz.
(√8+6) 11 (-32)
[(38+6) + (-√²3²" ]
2.357/-81187°2
Transcribed Image Text:given W=4 where and أحمد + 114 (054 + дея 2-2 W=4 XL = Xc = + in ра that will giver = 0.8 ragging. 1 22 L=24 142.0 652 WL Z = WC XL ЧХ Д 8 find the steady state current and source power factor (Cosø) value of element connected rallel with the source a power factor = 2 x 4 = 82 = ال T хс (= + F 8 622 - Z 20 -jzz. (√8+6) 11 (-32) [(38+6) + (-√²3²" ] 2.357/-81187°2
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