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LAKSHMISWARUPA M, et al, International Journal of Computers Electrical and Advanced Communication Engineering [IJCEACE]TM Volume 1, Issue 9, PP: 126 - 134, JAN - JUL’ 2016.
International Journal of Computers Electrical and Advanced Communications Engineering Vol.1 (9), ISSN: 2250-3129, JAN – JUL’ 2016 PP: 126 - 134
LOAD FLOW AND CONTINGENCY ANALYSIS USING
NEPLAN SOFTWARE
Dr .M. LAKSHMISWARUPA 1*, Mr. D. RAMESH 2*
1. Professor -Dept of EEE, Malla Reddy Engg. College (AUTONOMOUS), Hyderabad, India.
2. Asst. Prof- Dept of EEE, Malla Reddy Engg. College (AUTONOMOUS), Hyderabad, India.
Abstract— Load flow analysis is an important method for the power system analysis and designing. This analysis is carried out at each
and every state of planning, operation, control and economic scheduling. In this project, firstly we have analyzed IEEE-14 bus system
under the standard test data & after that we have increased load data in step of 5%. For finding a most sensitive node, the results are
compared with the original power flow results of IEEE-14 bus system. According to the reasons that are mentioned, the prediction and
recognition of voltage instability in power system has particular importance and it makes the network security stronger. In this paper,
we have focus on the finding of most sensitive node in IEEE-14 bus systems. Simulation is carried out at NEPLAN software which
includes a complete set of user-friendly graphical interface for voltage stability analysis and sensitive nodes determination. This project
also includes power system contingencies based on the maximum loading parameter point in order to analyze the voltage stability using
continuation power flow method.
Index Terms— IEEE-14 Bus, System, Sensitive Node, Contingency ranking, Continuation Power Flow, Voltage Stability.
I. INTRODUCTION
The voltage stability is the capability of a power system to
maintain steady state voltage at all buses in the system at
normal values and after being subjected to a disturbance [1]. A
power system becomes unstable, when voltages
uncontrollably changes due to the disbalance between load
and generation, outage of equipment & lines and failure of
voltage control mechanism in the system. The problem of
voltage instability occurs mainly due to deficient supply of the
reactive power or by an unnecessary absorption of reactive
power. Continuous monitoring of the system status is required
because the voltage instability affects the satisfactory
operation of power system. Voltage stability assessment [1,2]
is becoming an essential task for power system planning and
operation. Power system security analysis [3] forms an
integral part of modern energy management system. Security
is a term used to reflect a power system’s ability to meets its
load without unduly stressing its apparatus or allowing
variables to stray from prescribed range under the apparatus or
allowing variables to stray from prescribed range under certain
pre-specified credible contingencies. The contingencies [4,5]
are in the form of network outage such as line or transformer
outage or in the form of equipment outage e.g. a generator
outage. The outages, which are important from limit violation
viewpoint, are branch flow for line security or MW security
and bus voltage magnitude for voltage security. Voltage
stability has become a very important limit in assessing
voltage security.
The importance of voltage stability in determining system
security and performance will continue to increase due to the
increased loadings and interconnections brought about by
economic and environmental pressures which have let to
increasingly complex power systems that must operate closer
to their stability limits.
II. METHODLOGY
A. Contingency Analysis Studies
The most difficult methodological problem to cope within
contingency analysis is the accuracy of the method and the
speed of solution of the model used. The operator usually
needs to know if the present operation of the system is secure
and what will happen if a particular outage occurs. Operations
personnel must recognize which line or generator outages will
cause power flows or voltages to go out of their limits. In order
to predict the effects of outages, contingency analysis
technique is used. Contingency analysis procedures model a
single equipment failure event, that is one line or one generator
outage, or multiple equipment failure events, that is two
transmission lines, a transmission line and a generator; one
after another in sequence until all credible outages have been
studied. For each outage tested, the contingency analysis
procedure checks all power flows and voltage levels in the
network against their respective limits [3].
B. Methods of Contingency Analysis
Methods based on AC power flow calculations are
considered to be deterministic methods which are accurate
compared to DC power flow methods.[1] The methods used for
analyzing the contingencies are based on full AC load flow
analysis are faster and accurate. And therefore the wide use of
the network control center. Because the contingency alarms
came too late for operators to act, they are worthless. Most
operations control centers that use an AC power flow program
for contingency analysis use either a Newton-Raphson or the
decoupled power flow. An algorithm under the AC load flow
method will be used to ensure higher accuracy [2]. Since these
algorithms has a good performance in terms of convergence
speed and reliability in unfavorable conditions. Below is a brief
description of these methods.
LAKSHMISWARUPA M, et al, International Journal of Computers Electrical and Advanced Communication Engineering [IJCEACE]TM Volume 1, Issue 9, PP: 126 - 134, JAN - JUL’ 2016.
International Journal of Computers Electrical and Advanced Communications Engineering Vol.1 (9), ISSN: 2250-3129, JAN – JUL’ 2016 PP: 126 - 134
C. Equations
The programming of the above procedure for contingency
analysis has been implemented in NEPLAN is fast decoupled
load flow. And more a set of single and multiple contingencies
are performed on Azerbaijan power network using full AC load
flow analysis applying the simulation of lines and generator's
outage. The simulation of transmission line outage is carried
out by the formulation of the corresponding admittance matrix.
Assume that the line connected between buses m and n will be
outage. The elements of the admittance [Y] matrix that will be
affected are ، ، and , and the new values of those admittances
for the (π) mode of representation of transmission lines will be
given by:
III. SOFTWARE DESCRIPTION
MATLAB is a programming language developed by MathWorks. It started out as a matrix programming language
where linear algebra programming was simple. It can be run
both under interactive sessions and as a batch job.
This tutorial gives you aggressively a gentle introduction of
MATLAB programming language. It is designed to give
students fluency in MATLAB programming language.
Problem-based MATLAB examples have been given in
simple and easy way to make your learning fast and effective.
NEPLAN software is the best software of this feature
because its Background is based on the power market.
The characteristic of voltage stability are illustrated with IEEE
14-bus system. The generator produces active power, which is
transferred through a transmission line to laod.The reactive
power capability of the generator is infinite. Thus the
generator terminal voltage V1 is constant.
Fig 1: Line diagram of IEEE bus test system
V2 = √ ((V12 -2QX) ± √ ( V1
4 -4QXV12 -4PX2 )) 2
Pi = ΣViVjYij cos(δi – δijYij)
Qi = ΣViVjYij sin(δi – δijYij)
For i,j =1 to n
Where Pi and Qi are active and reactive powers injected at
load.
Fourteen Bus system
Continuous
powergui
A B C
a b c
A B C
a b c
A B C
a b c
A B C
a b c
A B C
a b c
A B C
A B CA B CA B CA B C
A
B
C
A B C
A B C
A
B
C
A B C
A B C
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A B C
Synchronous
Compensator
A B C
Synchronous
Compensator
A B C
Synchronous
Compensator
Vabc
Iabc
A B Ca b cBus 9
Bus 9
Vabc
Iabc
A B Ca b cBus 8
Bus 8
Vabc
Iabc
A B Ca b cBus 7
Bus 7
Vabc
Iabc
A B Ca b cBus 6
Bus 6
Vabc
Iabc
A B Ca b cBus 5
Bus 5
Vabc
Iabc
A B Ca b cBus 4
Bus 4
Vabc
Iabc
A B Ca b cBus 3
Bus 3
Vabc
Iabc
A B Ca b cBus 2
Bus 2
Vabc
Iabc
A B Ca b cBus 14
Bus 14
Vabc
Iabc
A B Ca b cBus 13
Bus 13
Vabc
Iabc
A B Ca b cBus 12
Bus 12
Vabc
Iabc
A B Ca b cBus 11
Bus 11
Vabc
Iabc
A B Ca b cBus 10
Bus 10
Vabc
Iabc
A B Ca b cBus 1
Bus 1
A B C
Generator1
A B C
Generator
Fig 2. Simulation Model for IEEE 14-BUS system
(Healthy condition)
Time (secs)
Voltage at
buses (P.u)
LAKSHMISWARUPA M, et al, International Journal of Computers Electrical and Advanced Communication Engineering [IJCEACE]TM Volume 1, Issue 9, PP: 126 - 134, JAN - JUL’ 2016.
International Journal of Computers Electrical and Advanced Communications Engineering Vol.1 (9), ISSN: 2250-3129, JAN – JUL’ 2016 PP: 126 - 134
Fig 3. Results of Three –Phase Voltages for Healthy
condition
Fig 4. Ybus formation
Fig 5. Line data of IEEE 14-bus system
Fig 6 Eigen values of the reduced Jacobian matrix
against load multiplication factor, K.
Table 1.1: Transmission lines data (R, X and B in Pu on
100MVA base) for the 14-bus test system
End buses R X B/2
1-2 0.01938 0.05917 0.0264
2-4 0.05811 0.17632 0.0170
12-13 0.22092 0.19988 0
13-14 0.17093 0.34802 0
Table 1.2: Transformer data (R, X in pu on 100 MVA base)
for the 14-bus test system
End buses R X
3-8 0.0671 0.17173
7-9 0 0.11001
6-7 0 0.2522
Table 1.3: Shunt capacitor(R, X in pu on 100 MVA base) for
the 14-bus test system
Table 1.4: Base case load data (Pu on 100 MVA base) for the
14-bus test system
Table 1.5: Base case generator data (Pu on 100 MVA base) for
the 14-bus test system
End buses MVAR(pu)
4 0.191
5 0.016
bus P(MW) QMVAR(pu)
3 0.217 0.127
4 0.942 0.191
7 0.112 0.075
8 0.050 0
9 0.295 0.166
10 0.09 0.058
11 0.035 0.018
12 0.061 0.016
13 0.135 0.058
14 0.1499 0.050
LAKSHMISWARUPA M, et al, International Journal of Computers Electrical and Advanced Communication Engineering [IJCEACE]TM Volume 1, Issue 9, PP: 126 - 134, JAN - JUL’ 2016.
International Journal of Computers Electrical and Advanced Communications Engineering Vol.1 (9), ISSN: 2250-3129, JAN – JUL’ 2016 PP: 126 - 134
Table 1.6:
Eigen values of reduced Jacobian matrix (Pu on 100 MVA
base) for the 14-bus test system
K E1 E2 E3 E4
1.124 0.1861 0.3190 0.1361 0.5786
Fig.7 Power Generation versus bus number
Fig.8 Power load versus bus number
Fig.9 Reactive power versus bus number
Fig.10 Line data with both generation and load powers
Linear Regression Modeling:
Data set collected for 22 iterations:
S.No Pr V5 V6
1 0 1.0733 0
2 .1 1.0730 .0259
3 .2 1.0721 .0518
4 .3 1.0705 .0778
5 .4 1.0683 .1040
6 .5 1.0654 .1303
7 .6 1.0618 .1569
8 .7 1.0575 .1838
9 .8 1.0524 .2111
10 .9 1.0464 .2388
11 1.0 1.0396 .2671
Bus V(pu)
1 1.06
2 1.045
LAKSHMISWARUPA M, et al, International Journal of Computers Electrical and Advanced Communication Engineering [IJCEACE]TM Volume 1, Issue 9, PP: 126 - 134, JAN - JUL’ 2016.
International Journal of Computers Electrical and Advanced Communications Engineering Vol.1 (9), ISSN: 2250-3129, JAN – JUL’ 2016 PP: 126 - 134
12 1.1 1.0317 .2961
13 1.2 1.0227 .3258
14 1.3 1.0124 .3566
15 1.4 1.0005 .3885
16 1.5 .9868 .4576
17 1.6 .9769 .4220
18 1.7 .9519 .4959
19 1.8 ,.9286 .5382
20 1.9 .8984 .5872
21 2.0 .8538 .6504
22 2.1 .7613 .7613
Fig.11: Loading Factor K=0.5
Fig.12. Loading factor K= 0.9
Fig. 13: Loading Factor K=1
Fig.14. Loading Factor K=1.1
Fig.15. P-V curve at weakest buses for different
iterations
Fitness Equation:
LAKSHMISWARUPA M, et al, International Journal of Computers Electrical and Advanced Communication Engineering [IJCEACE]TM Volume 1, Issue 9, PP: 126 - 134, JAN - JUL’ 2016.
International Journal of Computers Electrical and Advanced Communications Engineering Vol.1 (9), ISSN: 2250-3129, JAN – JUL’ 2016 PP: 126 - 134
Fig.16. Linear regression (Basic fitting) Analysis
(K=1.146)
Fig.17 Data statistics of mean, standard deviation
Fig.18. Data Statistics for Input
Fig. 19. Data Statistics for Output
Simulation model in NEPLAN Software:
Fig.20: Selection of Method for Load Flow
LAKSHMISWARUPA M, et al, International Journal of Computers Electrical and Advanced Communication Engineering [IJCEACE]TM Volume 1, Issue 9, PP: 126 - 134, JAN - JUL’ 2016.
International Journal of Computers Electrical and Advanced Communications Engineering Vol.1 (9), ISSN: 2250-3129, JAN – JUL’ 2016 PP: 126 - 134
Fig 21: Analysis for Load Flow
Start Analysis....
...Check Network Connectivity...
--> Number of isolated Nodes...................0
--> Number of not feeded Networks..............0
--> Number of partial Networks to calculate....1
--> Number of isolated Nodes...................0
--> Number of not feeded Networks..............0
--> Number of partial Networks to calculate....1
Load flow calculation:
Iteration progress:
1 . .2.547775e+000
2 . .2.186047e-001
3 . .1.493830e-003
Qmin. Change of node type from PV to PQ. Generator:
GNBUS_8 18.0 (ID=617)
4 . .5.813800e-003
5 . .1.834669e-005
6 . .1.554407e-010
Node-mismatches:
Regulated transformers:
Tapcal Tapact Tapmin Tapmax Reg.node:
...Assign Results....
Violated Lower Voltage Limits
Violated Upper Voltage Limits
---------------------------------------------------------------------------
BUS_1 69.0 (ID=409) u% = 106.00 Area 1
Zone 1
BUS_6 13.8 (ID=412) u% = 107.00 Area 1
Zone 1
BUS_12 13.8 (ID=414) u% = 105.33 Area 1
Zone 1
BUS_8 18.0 (ID=420) u% = 108.67 Area 1
Zone 1
Overloaded Elements
Fig 22: Selection Over loaded elements
Fig 23: Selection Under loaded elements
LAKSHMISWARUPA M, et al, International Journal of Computers Electrical and Advanced Communication Engineering [IJCEACE]TM Volume 1, Issue 9, PP: 126 - 134, JAN - JUL’ 2016.
International Journal of Computers Electrical and Advanced Communications Engineering Vol.1 (9), ISSN: 2250-3129, JAN – JUL’ 2016 PP: 126 - 134
Fig 24: Selection of all elements
Fig 25: Selection of elements with their voltage profile,
powers
Building Network Started...
...Check Network Connectivity...
...Update partial Networks...
--> Number of isolated Nodes...................0
--> Number of not feeded Networks..............0
--> Number of partial Networks to calculate....1
--Building Network Completed
Optimal Power Flow calculation...
Call: 1 - Feas./Opt. error = 7.868067e-001/3.228385e-002
Call: 2 - Feas./Opt. error = 6.911282e-001/2.689883e-002
Call: 3 - Feas./Opt. error = 6.341681e-001/2.159601e-002
Call: 4 - Feas./Opt. error = 4.118766e-001/3.352933e-002
Call: 5 - Feas./Opt. error = 3.874682e-001/3.685130e-002
Call: 6 - Feas./Opt. error = 3.825234e-001/3.760764e-002
Call: 7 - Feas./Opt. error = 3.823388e-001/3.764047e-002
Call: 8 - Feas./Opt. error = 3.823533e-001/3.760378e-002
Call: 9 - Feas./Opt. error = 3.823715e-001/3.758476e-002
Call: 10 - Feas./Opt. error = 3.823723e-001/3.758353e-002
--- Value of Objective function = 1.381108e-002
Call: 11 - Feas./Opt. error = 3.823726e-001/3.758300e-002
Call: 12 - Feas./Opt. error = 3.823727e-001/3.758288e-002
Call: 13 - Feas./Opt. error = 3.823727e-001/3.758283e-002
Call: 14 - Feas./Opt. error = 3.823727e-001/3.758281e-002
Call: 15 - Feas./Opt. error = 3.823727e-001/3.758280e-002
Call: 16 - Feas./Opt. error = 3.823727e-001/3.758279e-002
Call: 17 - Feas./Opt. error = 3.823727e-001/3.758279e-002
Call: 18 - Feas./Opt. error = 3.823727e-001/3.758279e-002
Call: 19 - Feas./Opt. error = 3.823727e-001/3.758279e-002
Call: 20 - Feas./Opt. error = 3.823727e-001/3.758279e-002
--- Value of Objective function = 1.381188e-002
Call: 21 - Feas./Opt. error = 3.823727e-001/3.758279e-002
Call: 22 - Feas./Opt. error = 3.823727e-001/3.758279e-002
Call: 23 - Feas./Opt. error = 3.823727e-001/3.758279e-002
Call: 24 - Feas./Opt. error = 2.663489e-001/1.278532e-002
Call: 25 - Feas./Opt. error = 2.492371e-001/1.385230e-002
Call: 26 - Feas./Opt. error = 4.536324e-003/1.340660e-002
Call: 27 - Feas./Opt. error = 6.245372e-004/6.502549e-003
Call: 28 - Feas./Opt. error = 4.867740e-004/1.363297e-003
Call: 29 - Feas./Opt. error = 6.010717e-005/1.332051e-004
Call: 30 - Feas./Opt. error = 4.334158e-007/4.148780e-005
--- Value of Objective function = 2.381972e-002
Call: 31 - Feas./Opt. error = 7.876568e-008/8.374479e-006
Call: 32 - Feas./Opt. error = 4.960229e-009/1.033526e-007
Call: 33 - Feas./Opt. error = 5.943024e-013/1.003407e-009
EXIT OPF: *** LOCALLY OPTIMAL SOLUTION FOUND
***
Obj. = 2.37387966
Network MW losses = 2.37387966
Network Mvar losses = -16.06956110
Network Total Gen.Cost (CurrU/h) = 0.00000000
Voltage Deviation^2 (%) = 0.00000000
Discretizing variables..
...Assign Results....
Violated Lower Voltage Limits
Violated Upper Voltage Limits
Overloaded Elements
Completed
Fig 26: Load flow, state estimation and contingency analysis
completed
IV. CONCLUSIONS
In this paper, the method for load flow, state estimation and
contingency analysis was done using NEPLAN software was
proposed. The proposed algorithm has been applied to
practical IEEE 14-Bus system. The study of contingency
ranking and analysis is very important from the view point of
power system security. Here obtained results lead the
contingency ranking for IEEE 14 Bus system. For IEEE-14
Bus system line number 10 connected between Bus 7 to Bus 9
is most severe line among all 20 lines. This identification
being able to significantly improve the secure performance of
LAKSHMISWARUPA M, et al, International Journal of Computers Electrical and Advanced Communication Engineering [IJCEACE]TM Volume 1, Issue 9, PP: 126 - 134, JAN - JUL’ 2016.
International Journal of Computers Electrical and Advanced Communications Engineering Vol.1 (9), ISSN: 2250-3129, JAN – JUL’ 2016 PP: 126 - 134
power systems and to reduce the chances of failure of system.
Good planning helps to ensure that reliability and security of
the system. Contingency ranking analysis helps the power
system engineer to give the most priority to notice or
monitoring the line flows to which line and monitoring other
lines flow in descending order. The fitness value of the
objective function is obtained in more optimized way in
NEPLAN software than compared to MATLAB software.
V. REFERENCES [1]. A.J. Wood and Wollenberg, “Power generation, operation
and control,”2nd Edition, John and Wiley & Sons Ltd, 2009.
[2] B. Scott, O.Alsac and A.J Monticelli, “Security analysis
and optimization,” Proceedings of the IEEE, Vol.75, No.12,
Dec1987,pp.1623-1644.
[3] N.M. Peterson W.F. Tinney and D.W. Bree, “Iterative
linear AC power flow for fast approximate outage studies,
“IEEE Transactions on Power Apparatus and Systems, Vol.91,
No. 5, October 1972, pp.2048-2058.
[4] Ching-Yin Lee and Nanming Chen, “Distribution factors
of reactive power flow in transmission line and transformer
outage studies, “IEEE Transactions on Power Systems, Vol. 7,
No.1, February 1992, pp. 194-200.M. Young, The Technical
Writer’s Handbook. Mill Valley,CA: University Science,1989.
[5] S.N. Singh and S.C. Srivastava,”Improved voltage and
reactive power distribution for outage studies, “IEEE
Transactions on Power Systems, Vol.12, No.3, August 1997,
pp.1085- 1093
[6] J. Zaborsky, K.W. Whang, K. Prasad, Fast contingency
evaluation using concentric relaxation, IEEE Transactions on
Power Apparatus and Systems,Vol. PAS-99, No.1,
January1980, pp. 28–36.
[7] R. Bacher, W.F. Tinney, "Faster local power flow
solutions: the zero mismatch approach," IEEE Transactions on
Power Systems, Vol. 4, No. 4, October 1989, pp. 1345- 1354.
[8] P. Marannino, A. Berizzi, M. Merlo, G. Demartini, “A
Rule-based Fuzzy Logic Approach for the Voltage collapse
Risk Classification”, IEEE Power Engineering Society Winter
Meeting, Vol. 2 , pp. 876-881,2002.
[9]. Tarlochan S Sindhu and Lan Chui, “Contingency
Screening for Steady State Security Analysis by using FFT
and Artificial Neural Networks”, IEEE Transactions on Power
Systems, Vol. 15, No. 1, February 2000.