Load Flow Analysis & Simulation on IEEE 30 Bus System
10
International Journal of Innovative and Emerging Research in Engineering Volume 3, Issue 4, 2016 61 Available online at www.ijiere.com International Journal of Innovative and Emerging Research in Engineering e-ISSN: 2394 - 3343 p-ISSN: 2394 - 5494 Load Flow Analysis & Simulation on IEEE 30 Bus System Alpit A. Tejlavwala P.G. Student, Department of EE, S.C.E.T. College, Surat, Gujarat, India. ABSTRACT: In this papers present design analysis and simulation on IEEE 30 bus system and comparison for MATLAB programme (G-S method or N-R method). Load flow Simulink model develops and design for IEEE 30 bus system in MATLAB. In load flow used at constant load connected and transmission line calculated capacitor and inductor from MATLAB. All buses Vabc and Iabc waveform and pu calculation. Keywords: Power Flow, One-line diagram, Simulink Model. I. INTRODUCTION Besides giving real and reactive power the load flow study provides information about line and transformer loading through Out the system and voltage at different point in the system for evaluation and regulation of the performance of the power systems. Growing demand of the power and complexity of the power system network, power system study is a signification tool for a power system operation in order to advent of digital computers, load flow solutions were obtained using network analysers load flow analysis used in different method [1]. Every method has got advantages as well as dis advantages. The objective of this papers is to develop an MATLAB Simulink model to perform load flow analysis for IEEE 30 bus system. In this bus system provided data form generation bus, shunt capacitor, transmission line, load on bus. But MATLAB Simulink model calculated data for series admittance (conductance and susceptance), value of inductor and capacitor. The formulation of the load flow problem assumes that the data provided is absolutely precise and provides results totally compatible with the given data apart from round-off errors. However, in practice, it can be readily appreciated that load flow data can only be known within some finite precision, the being more the case as the study represents conditions that are more distant into the future. As a normal screening process, the engineer looks at the range of possible values for a particular piece of data and selects an average value as the number to be used in the load flow study [4]. II. POWER FLOW OVERVIEW Figure 1. Bus classification [2] Table 1. Types of buses No. Bus types Specified Variables [known] Unspecified Variables [unknown] Remark 1. Slack/Swing bus ||, Pg, Qg ||, are assumed if not specified as 1.0 and 0 deg.
Transcript of Load Flow Analysis & Simulation on IEEE 30 Bus System
Volume 3, Issue 4, 2016
61
Research in Engineering e-ISSN: 2394 - 3343 p-ISSN: 2394 - 5494
Load Flow Analysis & Simulation on IEEE 30 Bus System Alpit A. Tejlavwala
P.G. Student, Department of EE, S.C.E.T. College, Surat, Gujarat, India.
ABSTRACT:
In this papers present design analysis and simulation on IEEE 30 bus system and comparison for MATLAB
programme (G-S method or N-R method). Load flow Simulink model develops and design for IEEE 30 bus system
in MATLAB. In load flow used at constant load connected and transmission line calculated capacitor and inductor
from MATLAB. All buses Vabc and Iabc waveform and pu calculation.
Keywords: Power Flow, One-line diagram, Simulink Model.
I. INTRODUCTION
Besides giving real and reactive power the load flow study provides information about line and transformer loading
through Out the system and voltage at different point in the system for evaluation and regulation of the performance of the
power systems. Growing demand of the power and complexity of the power system network, power system study is a
signification tool for a power system operation in order to advent of digital computers, load flow solutions were obtained
using network analysers load flow analysis used in different method [1]. Every method has got advantages as well as dis
advantages. The objective of this papers is to develop an MATLAB Simulink model to perform load flow analysis for
IEEE 30 bus system. In this bus system provided data form generation bus, shunt capacitor, transmission line, load on bus.
But MATLAB Simulink model calculated data for series admittance (conductance and susceptance), value of inductor and
capacitor.
The formulation of the load flow problem assumes that the data provided is absolutely precise and provides results totally
compatible with the given data apart from round-off errors. However, in practice, it can be readily appreciated that load
flow data can only be known within some finite precision, the being more the case as the study represents conditions that
are more distant into the future. As a normal screening process, the engineer looks at the range of possible values for a
particular piece of data and selects an average value as the number to be used in the load flow study [4].
II. POWER FLOW OVERVIEW
[known]
[unknown]
Remark
1. Slack/Swing bus ||, Pg, Qg ||, are assumed if not
specified as 1.0 and 0
deg.
Volume 3, Issue 4, 2016
62
2. Generation/Machine/PV bus Pg, || Qg, A generator is present at
the machine bus
3. Load/PQ bus Pg, Qg ||, About 80% buses are of
PQ type
4. Voltage controlled bus Pg, Qg, || , a ‘a’ is the % tap change in
tap-changing transformer
A. DATA FOR LOAD FLOW
Irrespective of the method used for the solution, the data required is common for any load flow. All data is normally in
pu. The bus admittance matrix is formulated from these data. The various data required are as under:
System data: It includes: number of buses-n, number of PV buses, number of loads, number of transmission lines, number
of transformers, number of shunt elements, the slack bus number, voltage magnitude of slack bus (angle is generally taken
as 00 ), tolerance limit, base MVA, and maximum permissible number of iterations [3].
Generator bus data: For every PV bus i, the data required includes the bus number, active power generation PGi, the
specified voltage magnitude sp,iV minimum reactive power limit Qi,min, and maximum reactive power limit Qi,max [3].
Load data: For all loads the data required includes the the bus number, active power demand PDi, and the reactive power
demand QDi [3].
Transmission line data: For every transmission line connected between buses i and k the data includes the starting bus
number i, ending bus number k, resistance of the line, reactance of the line and the half line charging admittance [3].
Transformer data: For every transformer connected between buses i and k the data to be given includes: the starting bus
number i, ending bus number k, resistance of the transformer, reactance of the transformer, and the off nominal turns-ratio
a [3].
Shunt element data: The data needed for the shunt element includes the bus number where element is connected, and the
shunt admittance (Gsh + j Bsh) [3].
System in bus Frame of
Reference
LOAD
G
International Journal of Innovative and Emerging Research in Engineering
Volume 3, Issue 4, 2016
63
1. Read input data
2. Perform a conventional load flow study
3. Calculate the covariance matrix of voltages from the linear model
4. Calculate the bise in the estimated voltages
5. Augment the expected values with the change in bias.
Calculate the new Jacobian
7. Calculate the expected values and the covariance matrix of active and reactive line flows
6. Is the change in bias less than e ?
Stop
International Journal of Innovative and Emerging Research in Engineering
Volume 3, Issue 4, 2016
64
B U
S 4
B U
S 5
B U
S 6
B U
S 7
B U
S 9
B U
S 10
100 MVA
Line 2
Line 1
Line 3
Line 4
Line 5
Line 7
Line 8
Line 9
Line 10
Line 11
Line 12
Line 13
Line 14
P-Q buses: 7 to 30.
N = 30 and Ng = 5, there are 2N – Ng – 2 = 53 equation to be solved for the 53 state variables shown.
Table 2. transmission line data
Line
No.
From
Bus
To
Bus
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65
11.
12.
13.
14.
15.
16.
17.
18.
19.
20.
21.
22.
23.
24.
25.
26.
27.
28.
29.
30.
31.
32.
33.
34.
35.
36.
37.
38.
39.
40.
41.
6
6
9
9
4
12
12
12
12
14
16
15
18
19
10
10
10
10
21
15
22
23
24
25
25
28
27
27
29
8
6
9
10
11
10
12
13
14
15
16
15
17
18
19
20
20
17
21
22
22
23
24
24
25
26
27
27
29
30
30
28
28
0
0
0
0
0
0
1.52656
3.09539
1.95199
2.49095
1.89780
1.80769
3.07568
5.88235
1.78483
3.95603
5.10185
2.61931
16.77454
1.96834
2.54053
1.46140
1.30989
1.21653
1.96929
0
0.99553
0.68745
0.91205
1.44397
4.36284
-4.807692
-1.798561
-4.807692
-9.090909
-3.906250
-7.142857
-3.173425
-6.097275
-4.104359
-2.250874
-4.379363
-3.691423
-6.218758
-11.76470
-3.985358
-10.31744
-10.98071
-5.400770
34.127718
-3.976064
-3.954402
-2.989238
-2.287622
-1.817144
-3.760212
-2.710027
-1.881005
-1.293971
-1.723358
-4.540814
-15.46357
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.02140
0.00650
Line
No.
From
Bus
To
Bus
R
L
C
Volume 3, Issue 4, 2016
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1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
19.
20.
21.
22.
23.
24.
25.
26.
27.
28.
29.
30.
31.
32.
33.
34.
35.
36.
37.
38.
39.
40.
41.
1
1
2
3
2
2
4
5
6
6
6
6
9
9
4
12
12
12
12
14
16
15
18
19
10
10
10
10
21
15
22
23
24
25
25
28
27
27
29
8
6
2
3
4
4
5
6
6
7
7
8
9
10
11
10
12
13
14
15
16
15
17
18
19
20
20
17
21
22
22
23
24
24
25
26
27
27
29
30
30
28
28
0.01920
0.04520
0.05700
0.01320
0.04720
0.05810
0.01190
0.04600
0.02670
0.01200
0
0
0
0
0
0
0.12310
0.06620
0.09450
0.22100
0.08240
0.10700
0.06390
0.03400
0.09360
0.03240
0.03480
0.07270
0.01160
0.10000
0.11500
0.13200
0.18850
0.25440
0.10930
0
0.21980
0.32020
0.23990
0.06360
0.01690
-2.03435e-4
-6.24624e-4
-6.12443e-4
-1.35273e-4
-6.66969e-4
-6.22127e-4
-1.42668e-4
-4.27303e-4
-2.88687e-4
-1.44603e-4
-6.62084e-4
-1.76980e-3
-6.62084e-4
-3.50140e-4
-8.14873e-4
-4.45633e-4
-1.00304e-3
-5.22052e-4
-7.75541e-4
-1.41416e-3
-7.26840e-4
-8.62295e-4
-5.11854e-4
-2.70563e-4
-7.98698e-4
-3.08516e-4
-2.89880e-4
-5.89378e-4
-9.32701e-5
-8.00565e-4
-8.04950e-4
-1.06485e-3
-1.39144e-3
-1.75170e-3
-8.46521e-4
-1.17456e-3
-1.69223e-3
-2.45994e-3
-1.84723e-3
-7.00997e-4
-2.05845e-4
8.40338e-5
6.49352e-5
5.85690e-5
1.33690e-5
6.65267e-5
5.95239e-5
1.43239e-5
3.24676e-5
2.70563e-5
1.43239e-5
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
6.81183e-5
2.06901e-5
Volume 3, Issue 4, 2016
67
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
19.
20.
21.
22.
23.
24.
25.
26.
27.
28.
29.
30
Y11
Y22
Y33
Y44
Y55
Y66
Y77
Y88
Y99
Y1010
Y1111
Y1212
Y1313
Y1414
Y1515
Y1616
Y1717
Y1818
Y1919
Y2020
Y2121
Y2222
Y2323
Y2424
Y2525
Y2626
Y2727
Y2828
Y2929
Y3030
6.46834
9.751964
9.439189
16.314102
4.08998
22.341629
6.54423
9.177234
0
24.304763
0
6.5749807
0
4.017519
9.362395
3.8198007
5.823839
4.883385
8.958038
7.667182
21.876494
21.934498
3.429753
5.311835
4.495741
1.2165301
3.65228
5.806823
1.907586
4.599508
-20.74275
-30.7330
-28.6268
-38.8519
-12.22174
-82.536
-18.475412
-31.09420
-20.504854
-66.857
-9.615384
-24.4241
-7.142857
-5.424299
-16.01563
-8.48372
-14.6968
-9.910181
-17.9834
-15.75005
-45.1084
-43.482
-6.96530
-9.23126
-7.86497
-1.81714
-9.645215
-22.7144
-3.604363
-3.017329
International Journal of Innovative and Emerging Research in Engineering
Volume 3, Issue 4, 2016
68
Volume 3, Issue 4, 2016
69
Figure 6. IEEE 30 bus system (MATLAB Simulation)
Figure 7. simulation output [ bus 1, bus 2, bus 3, Vabc]
International Journal of Innovative and Emerging Research in Engineering
Volume 3, Issue 4, 2016
70
IV. TEST RESULT
Load flow analysis is carried out in IEEE 30 bus test system. Output Voltage magnitude and Voltage Angle values from
IEEE 30 bus system. All data are in per unit. Angle is given in radian.
Table 4. Test output
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
1.0000
1.0025
1.0003
1.0048
1.0014
1.0071
0.9751
1.0041
1.0168
1.0021
1.0542
1.0098
1.0625
0.9865
0.9762
0
0.0128
-0.0006
-0.0010
-0.0489
-0.0002
-0.0092
0.0019
0
0.0009
0.0325
0.0029
0.0287
-0.0065
-0.0033
16.
17.
18.
19.
20.
21.
22.
23.
24.
25.
26.
27.
28.
29.
30.
0.9942
0.9915
0.9971
0.9935
0.9945
0.9921
1.0000
0.9923
0.9928
1.0000
0.9782
1.0111
1.0019
0.9942
0.9810
-0.0029
-0.0046
-0.0031
-0.0042
-0.0013
-0.0029
0.0000
-0.0031
-0.0019
0.0000
-0.0062
0.0045
-0.0014
-0.0052
-0.0269
V. CONCLUSION The simulation of a Load flow analysis on IEEE-30 bus system was conducted and the effects of load modelling. The
reactive power modelling greatly affected the voltage difference, whereas the active power modelling has a greater effect
on phase angle differences. The voltage profile remains flat which adds to the advantages of incorporation of load flow
models. Thus it is deduced that incorporation of load flow models in load flow analysis is advantageous than conventional
load flow analysis as generation cost and losses are reduced and security and stability of the system increases.
VI. REFERENCES
[1] P. S. Bhowmik, D. V. Rajan, S. P. Bose, “Load Flow Analysis: An Overview,” World Academy of Science,
Engineering and Technology, International Journal of Electrical Engineering, Vol:6, No:3, 2012.
[2] Dharamjit*, D.K.Tanti,, “Load Flow Analysis on IEEE 30 bus System” International Journal of Scientific and
Research Publications, Volume 2, Issue 11, November 2012 1 ISSN 2250-3153.
[3] J. J. Grainger & W.D. Stevenson, Jr. indian edition Tata McGraw-Hill Publishing Company limited.
[4] J. F. Dopazo,O. A. Klitin, A. M. Sasson, “Stochastic load flow,” American Electric Power Service Corp. IEEE
Transactions on Power Apparatus and Systems, vol. PAS-94, no. 2, March/April 1975.
AUTHOR
Alpit Tejlavwala ME Student in Electrical Engineering from Sarvajanik College of Engineering and Technology
GTU, Surat, Gujarat. His research in stochastic load flow analysis, Artificial Neural Network, kalman filter and its
application in power system, renewable energy.
61
Research in Engineering e-ISSN: 2394 - 3343 p-ISSN: 2394 - 5494
Load Flow Analysis & Simulation on IEEE 30 Bus System Alpit A. Tejlavwala
P.G. Student, Department of EE, S.C.E.T. College, Surat, Gujarat, India.
ABSTRACT:
In this papers present design analysis and simulation on IEEE 30 bus system and comparison for MATLAB
programme (G-S method or N-R method). Load flow Simulink model develops and design for IEEE 30 bus system
in MATLAB. In load flow used at constant load connected and transmission line calculated capacitor and inductor
from MATLAB. All buses Vabc and Iabc waveform and pu calculation.
Keywords: Power Flow, One-line diagram, Simulink Model.
I. INTRODUCTION
Besides giving real and reactive power the load flow study provides information about line and transformer loading
through Out the system and voltage at different point in the system for evaluation and regulation of the performance of the
power systems. Growing demand of the power and complexity of the power system network, power system study is a
signification tool for a power system operation in order to advent of digital computers, load flow solutions were obtained
using network analysers load flow analysis used in different method [1]. Every method has got advantages as well as dis
advantages. The objective of this papers is to develop an MATLAB Simulink model to perform load flow analysis for
IEEE 30 bus system. In this bus system provided data form generation bus, shunt capacitor, transmission line, load on bus.
But MATLAB Simulink model calculated data for series admittance (conductance and susceptance), value of inductor and
capacitor.
The formulation of the load flow problem assumes that the data provided is absolutely precise and provides results totally
compatible with the given data apart from round-off errors. However, in practice, it can be readily appreciated that load
flow data can only be known within some finite precision, the being more the case as the study represents conditions that
are more distant into the future. As a normal screening process, the engineer looks at the range of possible values for a
particular piece of data and selects an average value as the number to be used in the load flow study [4].
II. POWER FLOW OVERVIEW
[known]
[unknown]
Remark
1. Slack/Swing bus ||, Pg, Qg ||, are assumed if not
specified as 1.0 and 0
deg.
Volume 3, Issue 4, 2016
62
2. Generation/Machine/PV bus Pg, || Qg, A generator is present at
the machine bus
3. Load/PQ bus Pg, Qg ||, About 80% buses are of
PQ type
4. Voltage controlled bus Pg, Qg, || , a ‘a’ is the % tap change in
tap-changing transformer
A. DATA FOR LOAD FLOW
Irrespective of the method used for the solution, the data required is common for any load flow. All data is normally in
pu. The bus admittance matrix is formulated from these data. The various data required are as under:
System data: It includes: number of buses-n, number of PV buses, number of loads, number of transmission lines, number
of transformers, number of shunt elements, the slack bus number, voltage magnitude of slack bus (angle is generally taken
as 00 ), tolerance limit, base MVA, and maximum permissible number of iterations [3].
Generator bus data: For every PV bus i, the data required includes the bus number, active power generation PGi, the
specified voltage magnitude sp,iV minimum reactive power limit Qi,min, and maximum reactive power limit Qi,max [3].
Load data: For all loads the data required includes the the bus number, active power demand PDi, and the reactive power
demand QDi [3].
Transmission line data: For every transmission line connected between buses i and k the data includes the starting bus
number i, ending bus number k, resistance of the line, reactance of the line and the half line charging admittance [3].
Transformer data: For every transformer connected between buses i and k the data to be given includes: the starting bus
number i, ending bus number k, resistance of the transformer, reactance of the transformer, and the off nominal turns-ratio
a [3].
Shunt element data: The data needed for the shunt element includes the bus number where element is connected, and the
shunt admittance (Gsh + j Bsh) [3].
System in bus Frame of
Reference
LOAD
G
International Journal of Innovative and Emerging Research in Engineering
Volume 3, Issue 4, 2016
63
1. Read input data
2. Perform a conventional load flow study
3. Calculate the covariance matrix of voltages from the linear model
4. Calculate the bise in the estimated voltages
5. Augment the expected values with the change in bias.
Calculate the new Jacobian
7. Calculate the expected values and the covariance matrix of active and reactive line flows
6. Is the change in bias less than e ?
Stop
International Journal of Innovative and Emerging Research in Engineering
Volume 3, Issue 4, 2016
64
B U
S 4
B U
S 5
B U
S 6
B U
S 7
B U
S 9
B U
S 10
100 MVA
Line 2
Line 1
Line 3
Line 4
Line 5
Line 7
Line 8
Line 9
Line 10
Line 11
Line 12
Line 13
Line 14
P-Q buses: 7 to 30.
N = 30 and Ng = 5, there are 2N – Ng – 2 = 53 equation to be solved for the 53 state variables shown.
Table 2. transmission line data
Line
No.
From
Bus
To
Bus
Volume 3, Issue 4, 2016
65
11.
12.
13.
14.
15.
16.
17.
18.
19.
20.
21.
22.
23.
24.
25.
26.
27.
28.
29.
30.
31.
32.
33.
34.
35.
36.
37.
38.
39.
40.
41.
6
6
9
9
4
12
12
12
12
14
16
15
18
19
10
10
10
10
21
15
22
23
24
25
25
28
27
27
29
8
6
9
10
11
10
12
13
14
15
16
15
17
18
19
20
20
17
21
22
22
23
24
24
25
26
27
27
29
30
30
28
28
0
0
0
0
0
0
1.52656
3.09539
1.95199
2.49095
1.89780
1.80769
3.07568
5.88235
1.78483
3.95603
5.10185
2.61931
16.77454
1.96834
2.54053
1.46140
1.30989
1.21653
1.96929
0
0.99553
0.68745
0.91205
1.44397
4.36284
-4.807692
-1.798561
-4.807692
-9.090909
-3.906250
-7.142857
-3.173425
-6.097275
-4.104359
-2.250874
-4.379363
-3.691423
-6.218758
-11.76470
-3.985358
-10.31744
-10.98071
-5.400770
34.127718
-3.976064
-3.954402
-2.989238
-2.287622
-1.817144
-3.760212
-2.710027
-1.881005
-1.293971
-1.723358
-4.540814
-15.46357
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.02140
0.00650
Line
No.
From
Bus
To
Bus
R
L
C
Volume 3, Issue 4, 2016
66
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
19.
20.
21.
22.
23.
24.
25.
26.
27.
28.
29.
30.
31.
32.
33.
34.
35.
36.
37.
38.
39.
40.
41.
1
1
2
3
2
2
4
5
6
6
6
6
9
9
4
12
12
12
12
14
16
15
18
19
10
10
10
10
21
15
22
23
24
25
25
28
27
27
29
8
6
2
3
4
4
5
6
6
7
7
8
9
10
11
10
12
13
14
15
16
15
17
18
19
20
20
17
21
22
22
23
24
24
25
26
27
27
29
30
30
28
28
0.01920
0.04520
0.05700
0.01320
0.04720
0.05810
0.01190
0.04600
0.02670
0.01200
0
0
0
0
0
0
0.12310
0.06620
0.09450
0.22100
0.08240
0.10700
0.06390
0.03400
0.09360
0.03240
0.03480
0.07270
0.01160
0.10000
0.11500
0.13200
0.18850
0.25440
0.10930
0
0.21980
0.32020
0.23990
0.06360
0.01690
-2.03435e-4
-6.24624e-4
-6.12443e-4
-1.35273e-4
-6.66969e-4
-6.22127e-4
-1.42668e-4
-4.27303e-4
-2.88687e-4
-1.44603e-4
-6.62084e-4
-1.76980e-3
-6.62084e-4
-3.50140e-4
-8.14873e-4
-4.45633e-4
-1.00304e-3
-5.22052e-4
-7.75541e-4
-1.41416e-3
-7.26840e-4
-8.62295e-4
-5.11854e-4
-2.70563e-4
-7.98698e-4
-3.08516e-4
-2.89880e-4
-5.89378e-4
-9.32701e-5
-8.00565e-4
-8.04950e-4
-1.06485e-3
-1.39144e-3
-1.75170e-3
-8.46521e-4
-1.17456e-3
-1.69223e-3
-2.45994e-3
-1.84723e-3
-7.00997e-4
-2.05845e-4
8.40338e-5
6.49352e-5
5.85690e-5
1.33690e-5
6.65267e-5
5.95239e-5
1.43239e-5
3.24676e-5
2.70563e-5
1.43239e-5
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
6.81183e-5
2.06901e-5
Volume 3, Issue 4, 2016
67
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
19.
20.
21.
22.
23.
24.
25.
26.
27.
28.
29.
30
Y11
Y22
Y33
Y44
Y55
Y66
Y77
Y88
Y99
Y1010
Y1111
Y1212
Y1313
Y1414
Y1515
Y1616
Y1717
Y1818
Y1919
Y2020
Y2121
Y2222
Y2323
Y2424
Y2525
Y2626
Y2727
Y2828
Y2929
Y3030
6.46834
9.751964
9.439189
16.314102
4.08998
22.341629
6.54423
9.177234
0
24.304763
0
6.5749807
0
4.017519
9.362395
3.8198007
5.823839
4.883385
8.958038
7.667182
21.876494
21.934498
3.429753
5.311835
4.495741
1.2165301
3.65228
5.806823
1.907586
4.599508
-20.74275
-30.7330
-28.6268
-38.8519
-12.22174
-82.536
-18.475412
-31.09420
-20.504854
-66.857
-9.615384
-24.4241
-7.142857
-5.424299
-16.01563
-8.48372
-14.6968
-9.910181
-17.9834
-15.75005
-45.1084
-43.482
-6.96530
-9.23126
-7.86497
-1.81714
-9.645215
-22.7144
-3.604363
-3.017329
International Journal of Innovative and Emerging Research in Engineering
Volume 3, Issue 4, 2016
68
Volume 3, Issue 4, 2016
69
Figure 6. IEEE 30 bus system (MATLAB Simulation)
Figure 7. simulation output [ bus 1, bus 2, bus 3, Vabc]
International Journal of Innovative and Emerging Research in Engineering
Volume 3, Issue 4, 2016
70
IV. TEST RESULT
Load flow analysis is carried out in IEEE 30 bus test system. Output Voltage magnitude and Voltage Angle values from
IEEE 30 bus system. All data are in per unit. Angle is given in radian.
Table 4. Test output
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
1.0000
1.0025
1.0003
1.0048
1.0014
1.0071
0.9751
1.0041
1.0168
1.0021
1.0542
1.0098
1.0625
0.9865
0.9762
0
0.0128
-0.0006
-0.0010
-0.0489
-0.0002
-0.0092
0.0019
0
0.0009
0.0325
0.0029
0.0287
-0.0065
-0.0033
16.
17.
18.
19.
20.
21.
22.
23.
24.
25.
26.
27.
28.
29.
30.
0.9942
0.9915
0.9971
0.9935
0.9945
0.9921
1.0000
0.9923
0.9928
1.0000
0.9782
1.0111
1.0019
0.9942
0.9810
-0.0029
-0.0046
-0.0031
-0.0042
-0.0013
-0.0029
0.0000
-0.0031
-0.0019
0.0000
-0.0062
0.0045
-0.0014
-0.0052
-0.0269
V. CONCLUSION The simulation of a Load flow analysis on IEEE-30 bus system was conducted and the effects of load modelling. The
reactive power modelling greatly affected the voltage difference, whereas the active power modelling has a greater effect
on phase angle differences. The voltage profile remains flat which adds to the advantages of incorporation of load flow
models. Thus it is deduced that incorporation of load flow models in load flow analysis is advantageous than conventional
load flow analysis as generation cost and losses are reduced and security and stability of the system increases.
VI. REFERENCES
[1] P. S. Bhowmik, D. V. Rajan, S. P. Bose, “Load Flow Analysis: An Overview,” World Academy of Science,
Engineering and Technology, International Journal of Electrical Engineering, Vol:6, No:3, 2012.
[2] Dharamjit*, D.K.Tanti,, “Load Flow Analysis on IEEE 30 bus System” International Journal of Scientific and
Research Publications, Volume 2, Issue 11, November 2012 1 ISSN 2250-3153.
[3] J. J. Grainger & W.D. Stevenson, Jr. indian edition Tata McGraw-Hill Publishing Company limited.
[4] J. F. Dopazo,O. A. Klitin, A. M. Sasson, “Stochastic load flow,” American Electric Power Service Corp. IEEE
Transactions on Power Apparatus and Systems, vol. PAS-94, no. 2, March/April 1975.
AUTHOR
Alpit Tejlavwala ME Student in Electrical Engineering from Sarvajanik College of Engineering and Technology
GTU, Surat, Gujarat. His research in stochastic load flow analysis, Artificial Neural Network, kalman filter and its
application in power system, renewable energy.
