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1.
a.
GMD = ( d ab dbc d ca )
1/ 3
20 ft
a
ACSR
Cardinal
( 20 15 25)
=
b
15 ft
c
1/ 3
= 19.57 ft
x=
xa + xd
l
19.57
= 0.390 + 0.1213ln
1
= 0.7508 / mile
z+= ra + jxl
=0.1128 + j 0.7508 / mile
z0 =
1
Homework 05 Solution
Jeffrey Mayer 20072016. All
EE 488
Homework 05
Spring 2016
Due on Fri. Feb. 12 at the EE Homework Slot outside of 121 EE East before 4:00 p.m.
Reading Assignment: Chapter 5 of the text.
1.
For each of the three transmission lines in the table on Slide 150 of the lecture notes, do
th
EE 488
Homework 06
Spring 2016
Due on Friday Feb. 26 at the EE Homework Slot outside of 121 EE East before 4:00 p.m.
Reading Assignment: Chapter 5 of the text.
1.
Consider a transmission line for which=
and
A 0.9533 + j 0.004774 pu
=
B 0.03058 + j 0.3017
1. Transmission line data.
EE 488
Spring 2015
138kV Transmission Line
a.
54/7, o.d., GMR, current carrying capacity ACSR Rook
b.
Not applicable, there is no bundle.
c.
GMD
=
=
d. xl
=
2d
3
3
2 (17.5 feet)
= 22.05 feet
0 GMD
ln
[ / m]
2 GMR
l=
22.05
EE 488
Homework 07
Spring 2016
Due on Fri. Mar. 4 at the EE Homework Slot outside of 121 EE East before 4:00 p.m.
Reading Assignment: Section 2.4 of the text.
1.
Consider the oneline diagram shown on the last page of this assignment. It is the IEEE
30 Bu
EE 488
Homework 08
Spring 2016
Due on Fri. Mar. 18 at the EE Homework Slot outside of 121 EE East before 4:00 p.m.
Reading Assignment: Chapter 6 of the text.
For Problems 1 and 2, consider the twobus
system shown to the right. The base values
are Sbase =
1.
From the lecture notes, the GaussSeidel algorithm is:
EE 488
Spring 2016
(i ) 1 S
Vk
Y V
YknVn(i )
=
Y (V )
for k = 2,3, , N
1)
Vk(i +=
Vk(i ) + Vk(i )
*
k 1
N
( i +1)
k
kn n
(i ) *
n 1=
n k
kk =
k
Since only Bus 2 is of interest, this can be sp
Y
r

J
_

.
l
T
M
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u
Ii"
x
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c n
7u
Tm
Pl
u u
) .
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.
_
.
.
A

10
b
a
V
'
J.
h
l
* )1
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?
x
/
" 
2
X
\0
1
J b JLh
h
.
2
y
L
J b h
X
X
,
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3
2
( )
'
? fa
=
/
(W ) 3
3
.
Lb

EE 488
Homework 04
Spring 2016
Due on Fri. Feb. 5 at the EE Homework Slot outside of 121 EE East before 4:00 p.m.
Reading Assignment: Sections 4.1 through 4.6 of the text.
1.
Consider the 60Hz, 3phase transmission line
shown to the right; the lowest con
EE 488
Homework 03
Spring 2016
Due on Fri. Jan. 29 at the EE Homework Slot outside of 121 EE East before 4:00 p.m.
Reading Assignment: Sections 4.1 through 4.6 of the text.
1.
Compare the modeled resistance to the actual resistance for an AAC Marigold cab
EE 488
Homework 01
Spring 2016
Due on Fri. Jan. 15 at the EE Homework Slot outside of 121 EE East before 4:00 p.m.
Reading Assignment: Chapter 1 of the text.
1.
Consider the network shown to
the right in which jX represents
the equivalent series impedance
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Fig. Interconnections in the US power grid.
Fig. Overall structure of the US power market: ISOs, RTOs, Power Pools
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EE 488
Homework 02
Spring 2016
Due on Mon. Jan. 25 at the EE Homework Slot outside of 121 EE East before 4:00 p.m.
1.
Consider again the twobus system in Homework 01 Problems 2 through 4. Now,
determine and plot the transmission line real power loss Plos
1. Model resistance of AAC Marigold cable.
a.
rs = d s
b. rdc ( model )
1
2
0.0254 m
= 12 (0.1351 in)
1 in
= 1.716 mm
EE 488
Spring 2016
1
=
N s As
=
1 (2.83 108 m)
61 (1.716 mm )2
= 50.16 / m
ro = d o
1
2
0.0254 m
= 12 (1.216 in)
1 in
= 15.443
1.
R
+
V1= V10
I
jX
+
V
2
EE 488
Spring 2016
QC
S2
jBC
S=
P2 + jQ2
2
I=
=
c.
1
P2 + j (Q2 QC )
V2
P2 1 + m22
V2
Power loss is minimized when the shunt capacitor provides slightly more reactive power than is consumed by the load (i.e., the
line actually ca
\
dL
=
2
c c n
X
(
x v
$ ?
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