branch data node data (consumption and/or production) Calculate ref. Label Type Parameters P (kW) cos Q cap/ind Main source INPUT at 110 kV Upper network Rn 0 Calculated values P (kW) V (kV) AP (kW) P (kW) COS Q cap/ind 13000 111.44 401.63 13401.6 0.94116 1(A) 73.774 In (A) VALUES at 110 kV level (FOR INFO ONLY) leave empty impedance Xn 0 ref. Transformer ET1 0 36.581 31.858 13401.6 0.9412 220.82 0 consumption 0 n 3000 0.95 ind 3000 36.581 0.000 13369.8 0.9556 220.82 0 Vref (kV) Vlast (kV) generation 0 n 0 36.581 0.000 10369.8 0.9572 170.99 0 36.75 34.576 The 1st run 95/16 9000 0 35.552 236.827 10369.8 0.9572 170.99 0 consumption 1 n default tolerance generation 1 n 3000 0 0.95 ind 3000 35.552 0.000 10132.9 0.9624 170.99 0 0 35.552 0.000 7132.9 0.9671 119.77 0 1 0.0001 The 2nd run 95/16 3000 0 35.316 38.733 7132.9 0.9671 119.77 0 consumption 2 n 2000 0.95 ind 2000 35.316 0.000 7094.2 0.9683 119.77 0 ET1-DO NOT CHANGE generation 2 n -1000 0.98 |сар -1000 35.316 0.000 5094.2 0.9745 85.46 0 V1 (kV) 110 The 3rd run 70/11 4000 0 34.971 52.801 6094.2 0.9755 102.14 0 V2 (kV) 36.75 consumption 3 n 2000 1 ind 2000 34.971 0.000 6041.4 0.9766 102.14 0 S (MVA) 31.5 generation 3 n -1000 1 -1000 34.971 0.000 4041.4 0.9498 70.25 0 uk (%) 11 The 4th run 70/11 3000 0 34.748 28.133 5041.4 0.9668 86.09 0 Pcu (kW) 160 consumption 4 n 2000 0.95 ind 2000 34.748 0.000 5013.3 0.9676 86.09 0 generation 4 n 0 0 34.748 0.000 3013.3 0.9775 51.22 0 ET2 The 5th run 70/11 4000 0 34.576 13.280 3013.3 0.9775 51.22 0 V1 (kV) consumption 5 2000 0.9 ind 2000 34.576 0.000 3000.0 0.9780 51.22 0 generation 5 n 1000 0.95 cap 1000 34.576 0.000 1000.0 0.9500 cap 17.58 0 V2 (kV) S (MVA) uk (%) Pcu (kW) The 1st Run of the Power Line Consumption 1 Generation 1 cable The 2nd Run cable Consumption 2 Generation 2 The 3rd Run cable Consumption 3 Generation 3 consum- genera- consum- genera- consum- genera type length cos cos ption 1 type length Cos cos tion 1 ption 2 tion 2 type length cos cos • ption 3 -tion 3 Al/Fe [m] [kW] ind [kW] сар Al/Fe [m] [kw] ind [kW] cap AllFe [m] [kW] ind [kW] сар 95/16 8000 2250 0.95 1 95/16 4000 1750 0.95 1 95/16 3000 2400 0.95 1000 0.95 The 4th Run cable Consumption 4 Generation 4 The 5th Run cable Consumption 3 Generation 3 consum- type length cos ption 4 genera -tion 4 consum- genera cos type length cos COS © ption 5 -tion 5 Al/Fe [m] [kW] ind [kW] cap Al/Fe [m] [kW] ind [kW] сар 70/11 3000 2400 0.98 1000 0.95 70/11 3000 2300 0.95 1000 0.98

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 2.9P: For the circuit shown in Figure 2.24, compute the voltage across the load terminals.
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Question

Perform a detailed voltage analysis in the given medium-voltage 6-node radial power system example. Reflect on voltage drops, power losses and line efficiency for your given consumption, for consumption that is 25% higher and consumption that is 25% lower.
Then repeat all 3 analyses if the consumption at node 5 is with power factor of 1.

Analyse and discuss the sensitivity of voltage drop [in % of amplitude] and with respect to the current level and the power factor.
Identify the maximal generating power (MW only) that your network can accept in a single node without voltage in any node exceeding 1.05 p.u.

branch data
node data (consumption and/or production)
Calculate
ref.
Label
Type
Parameters
P (kW)
cos Q
cap/ind
Main source
INPUT at 110 kV
Upper network
Rn
0
Calculated values
P (kW)
V (kV)
AP (kW)
P (kW)
COS Q
cap/ind
13000
111.44
401.63
13401.6
0.94116
1(A)
73.774
In (A)
VALUES at 110 kV level
(FOR INFO ONLY)
leave empty
impedance
Xn
0
ref.
Transformer
ET1
0
36.581
31.858
13401.6
0.9412
220.82
0
consumption 0
n
3000
0.95
ind
3000
36.581
0.000
13369.8
0.9556
220.82
0
Vref (kV) Vlast (kV)
generation 0
n
0
36.581
0.000
10369.8
0.9572
170.99
0
36.75
34.576
The 1st run
95/16
9000
0
35.552
236.827
10369.8
0.9572
170.99
0
consumption 1
n
default
tolerance
generation 1
n
3000
0
0.95
ind
3000
35.552
0.000
10132.9
0.9624
170.99
0
0
35.552
0.000
7132.9
0.9671
119.77
0
1
0.0001
The 2nd run
95/16
3000
0
35.316
38.733
7132.9
0.9671
119.77
0
consumption 2
n
2000
0.95
ind
2000
35.316
0.000
7094.2
0.9683
119.77
0
ET1-DO NOT CHANGE
generation 2
n
-1000
0.98
|сар
-1000
35.316
0.000
5094.2
0.9745
85.46
0
V1 (kV)
110
The 3rd run
70/11
4000
0
34.971
52.801
6094.2
0.9755
102.14
0
V2 (kV)
36.75
consumption 3
n
2000
1
ind
2000
34.971
0.000
6041.4
0.9766
102.14
0
S (MVA)
31.5
generation 3
n
-1000
1
-1000
34.971
0.000
4041.4
0.9498
70.25
0
uk (%)
11
The 4th run
70/11
3000
0
34.748
28.133
5041.4
0.9668
86.09
0
Pcu (kW)
160
consumption 4
n
2000
0.95
ind
2000
34.748
0.000
5013.3
0.9676
86.09
0
generation 4
n
0
0
34.748
0.000
3013.3
0.9775
51.22
0
ET2
The 5th run
70/11
4000
0
34.576
13.280
3013.3
0.9775
51.22
0
V1 (kV)
consumption 5
2000
0.9
ind
2000
34.576
0.000
3000.0
0.9780
51.22
0
generation 5
n
1000
0.95
cap
1000
34.576
0.000
1000.0
0.9500
cap
17.58
0
V2 (kV)
S (MVA)
uk (%)
Pcu (kW)
Transcribed Image Text:branch data node data (consumption and/or production) Calculate ref. Label Type Parameters P (kW) cos Q cap/ind Main source INPUT at 110 kV Upper network Rn 0 Calculated values P (kW) V (kV) AP (kW) P (kW) COS Q cap/ind 13000 111.44 401.63 13401.6 0.94116 1(A) 73.774 In (A) VALUES at 110 kV level (FOR INFO ONLY) leave empty impedance Xn 0 ref. Transformer ET1 0 36.581 31.858 13401.6 0.9412 220.82 0 consumption 0 n 3000 0.95 ind 3000 36.581 0.000 13369.8 0.9556 220.82 0 Vref (kV) Vlast (kV) generation 0 n 0 36.581 0.000 10369.8 0.9572 170.99 0 36.75 34.576 The 1st run 95/16 9000 0 35.552 236.827 10369.8 0.9572 170.99 0 consumption 1 n default tolerance generation 1 n 3000 0 0.95 ind 3000 35.552 0.000 10132.9 0.9624 170.99 0 0 35.552 0.000 7132.9 0.9671 119.77 0 1 0.0001 The 2nd run 95/16 3000 0 35.316 38.733 7132.9 0.9671 119.77 0 consumption 2 n 2000 0.95 ind 2000 35.316 0.000 7094.2 0.9683 119.77 0 ET1-DO NOT CHANGE generation 2 n -1000 0.98 |сар -1000 35.316 0.000 5094.2 0.9745 85.46 0 V1 (kV) 110 The 3rd run 70/11 4000 0 34.971 52.801 6094.2 0.9755 102.14 0 V2 (kV) 36.75 consumption 3 n 2000 1 ind 2000 34.971 0.000 6041.4 0.9766 102.14 0 S (MVA) 31.5 generation 3 n -1000 1 -1000 34.971 0.000 4041.4 0.9498 70.25 0 uk (%) 11 The 4th run 70/11 3000 0 34.748 28.133 5041.4 0.9668 86.09 0 Pcu (kW) 160 consumption 4 n 2000 0.95 ind 2000 34.748 0.000 5013.3 0.9676 86.09 0 generation 4 n 0 0 34.748 0.000 3013.3 0.9775 51.22 0 ET2 The 5th run 70/11 4000 0 34.576 13.280 3013.3 0.9775 51.22 0 V1 (kV) consumption 5 2000 0.9 ind 2000 34.576 0.000 3000.0 0.9780 51.22 0 generation 5 n 1000 0.95 cap 1000 34.576 0.000 1000.0 0.9500 cap 17.58 0 V2 (kV) S (MVA) uk (%) Pcu (kW)
The 1st Run of the Power Line
Consumption 1
Generation 1
cable
The 2nd Run
cable
Consumption 2 Generation 2
The 3rd Run
cable
Consumption 3
Generation 3
consum-
genera-
consum-
genera-
consum-
genera
type length
cos
cos
ption 1
type
length
Cos
cos
tion 1
ption 2
tion 2
type
length
cos
cos •
ption 3
-tion 3
Al/Fe
[m]
[kW]
ind
[kW]
сар
Al/Fe
[m]
[kw]
ind
[kW]
cap
AllFe
[m]
[kW]
ind
[kW]
сар
95/16
8000
2250
0.95
1
95/16
4000
1750
0.95
1
95/16
3000
2400
0.95
1000
0.95
The 4th Run
cable
Consumption 4
Generation 4
The 5th Run
cable
Consumption 3 Generation 3
consum-
type length
cos
ption 4
genera
-tion 4
consum-
genera
cos
type length
cos
COS ©
ption 5
-tion 5
Al/Fe
[m]
[kW]
ind
[kW]
cap
Al/Fe
[m]
[kW]
ind
[kW]
сар
70/11 3000
2400
0.98 1000
0.95
70/11
3000
2300
0.95
1000
0.98
Transcribed Image Text:The 1st Run of the Power Line Consumption 1 Generation 1 cable The 2nd Run cable Consumption 2 Generation 2 The 3rd Run cable Consumption 3 Generation 3 consum- genera- consum- genera- consum- genera type length cos cos ption 1 type length Cos cos tion 1 ption 2 tion 2 type length cos cos • ption 3 -tion 3 Al/Fe [m] [kW] ind [kW] сар Al/Fe [m] [kw] ind [kW] cap AllFe [m] [kW] ind [kW] сар 95/16 8000 2250 0.95 1 95/16 4000 1750 0.95 1 95/16 3000 2400 0.95 1000 0.95 The 4th Run cable Consumption 4 Generation 4 The 5th Run cable Consumption 3 Generation 3 consum- type length cos ption 4 genera -tion 4 consum- genera cos type length cos COS © ption 5 -tion 5 Al/Fe [m] [kW] ind [kW] cap Al/Fe [m] [kW] ind [kW] сар 70/11 3000 2400 0.98 1000 0.95 70/11 3000 2300 0.95 1000 0.98
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