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International Journal of Engineering and Techniques - Volume 2 Issue 5, Sep – Oct 2016
ISSN: 2395-1303 http://www.ijetjournal.org Page 94
Review of Load Flow Analysis for Three Phase
Radial Distribution System
Pawan Kumar Kaushal1
, Mrs. Minal Tomar2
1
Research Scholar Department of Electrical & Electronics, MIT, Indore
2
Associate Professor Department of Electrical & Electronics, MIT, Indore
I. INTRODUCTION
Power flow or load flow studies are
performed for the determination of the steady
state operating condition of a power system.
This is the most frequently carried out study by
power utilities and is required to be performed
for power system planning, operation,
optimization and control. At the design stage,
load flow analysis [3, 9] is used to check
whether the voltage profiles are expected to be
within limits throughout the network.
The effectiveness of the backward forward
sweep method in the analysis of radial
distribution systems has already been proven
by researchers, by comparing it to the
traditional load flow methods. The forward
backward sweep method [1, 3, 5] is
commonly used due to its computational
efficiencies and solution accuracies.
Radial distribution system [2] [3] can be
modeled as a network of buses connected by
distribution lines, switches & transformers.
The load-flow study of radial distribution
network is of prime importance for effective
planning of load transfer Local Search is a
family of general-purpose techniques for
search and optimization problems, which are
based on several variants of the simple idea.
Each Local Search technique prescribes a
different strategy for dealing with the foggy
situation. The application of Local Search
algorithms to optimization problems dates
back to early 1960s. Since that time the
interest in this subject has considerably
grown in the fields of Operations Research,
Computer Science and Artificial
Intelligence. Local Search algorithms are
non-exhaustive in the sense that they do not
guarantee to find a feasible (or optimal)
solution, but they search non-systematically
until a specific stop criterion is satisfied.
Nevertheless, these techniques are very
appealing because of their effectiveness and
their widespread applicability [24, 26, 28].
II. RESEARCH SUMMARY
RESEARCH ARTICLE OPEN ACCESS
Abstract:
This paper based on review of load flow analysis of radial distribution system. The
problem on unbalancing of reactive power is in single phase and three phases. Therefore to improve &
enhancing voltage profile and stability of the existing power system, load flow analysis is alternative
solution. Here is review on different approaches by different author’s for load flow analysis in three phase
radial distribution system to improve voltage stability and to minimize the transmission line losses.
Different optimization techniques may be use to identify as well as applied in three phase radial
distribution system with analysis of different authors review and based on merits and demerits of radial
distribution system. Local search optimization is also described based on this review.
International Journal of Engineering and Techniques - Volume 2 Issue 5, Sep – Oct 2016
ISSN: 2395-1303 http://www.ijetjournal.org Page 95
There is summary of different
academician/researchers given in below
table:
S
r.
N
o.
Author’s
Name
Methods/T
echnique
Optimi
zation
Outcom
e
1. Yuntao Ju,
Wenchuan
Wu,
Boming
Zhang,
Hongbin
Sun
Loop
Analysis
Forwar
d
Backwa
rd
Sweep
Three-
Phase
Models
To
Check
The
Perform
ance Of
Forward
Backwa
rd
Sweep
Method
2. A. D.
Rana, J. B.
Darji,
Mosam
Pandya
KCL And
KVL
Forwar
d
Sweep
And
Backwa
rd
Sweep
Transmi
ssion
Line
Losses
,IEEE
33 Bus
Radial
Distribu
tion
System
3. M. E.
Baran And
F. F. Wu
Non-Linear
Equations
Newton
-
Raphso
n
Method
Comput
ational
Efficien
cy In
Power
Flow
4. Puthireddy
Umapathi
Reddy,
Sirigiri
Sivanagara
ju,
Prabandha
mkam
Sangames
wararaju
Zero
Sequence-
Voltage
And Current
Forwar
d
Backwa
rd
Sweep
19-Bus
Unbalan
ced
System
For
Grounde
d Star-
Delta
And
Delta
Grounde
d Star
Transfor
mer
Connect
ions
III. RADIAL DISTRIBUTION SYSTEM
According to scheme of operation,
distribution system may be classified as:1)
Radial distribution network 2)Ring main
system 3) Interconnected System.
Selection of Radial distribution system
based on load flow study can be possible for
analyzing, study and review about three
phase radial distribution system.
International Journal of Engineering and Techniques - Volume 2 Issue 5, Sep – Oct 2016
ISSN: 2395-1303 http://www.ijetjournal.org Page 96
Figure:1 IEEE-33 bus Radial Distribution System
In above figure IEEE-33 bus system in
which has distributiion from bus number 18,
22 and 25. It is used to analyze for three
phase RDS.
Table:1 Discription of Radial Distribution System
Load Flow in
Radial
Distribution
System
Merits Demerits
Newton -
Downhill
1. Not Depends on
Initial Solution
2. Higher
Convergence
Rate
 Converge
nce order
is less
than 2
 If
jacobian
matrix is
singular
then
failed
Genetic
Algorithm
Based
1. Simple
Implementation
2. Suitable for
Offline
Problems
 In
Complex
network
excessive
computat
ion time
 Sensitive
to
controller
paramete
r
Particle Swarn
Optimization
(PSO)
1. Offline
Problems
suitable
2. Faster than
Genetic
Algorithm
 Slower
Converge
nce
 In
complex
network
Unsucces
sful
Artificial Neural
Network
1. Suitable for On-
line problems
2. Least
Computation
Time
 Other
methods
Need
 Specified
Input
Range
Limited
Forward/Backw
ard Sweep
Method
1. Jacobian Matrix
is Not Needed
2. KCL equations
3. Not Depends on
PV and DG
Number for
small Networks
4. Suitable for
online and
offline Problems
 Unsucces
sful for
Heavy
Load
 Unsucces
sful for
large
scale
network
IV. ALGORITHM
Load flow in three phase radial distribution
can be analyzed by flow chart for
determination of kW and kVAR.
International Journal of Engineering and Techniques - Volume 2 Issue 5, Sep – Oct 2016
ISSN: 2395-1303 http://www.ijetjournal.org Page 97
V. OPTIMIZATION TECHNIQUES
There are different optimizations techniques
can be used in load flow study for three
phase radial distribution system:
Local search optimization: These
optimization techniques are applicable for
determining number of busses, nodes and
any other things in radial distribution
system. 1) Metaheuristic methods 2)
Stochastic optimization
Table 2: Characteristics of Local Search Methods
Feature Hill
Climbing
Simulated
Annealing
Tabu
Search
Initial
Solution
Not
Specified
Random Not Specified
Select
Move
Random Random Best Non Tabu
Acceptabl
e Move
Non-
Worsening
Always
improve
Worsening
Always
Stop
Search
Idle
Iterations
Frozen
System
Idle Iterations
As per description of another optimization
techniques shown in figure there has
artificial intelligence, genetic algorithm,
particle swarm optimization and forward
backward sweep optimization but this
method is further classified on the basis of
branch current based, branch power based
and branch impedance based.
VI. AUTHOR’S BIOGRAPHY
Mr. Pawan Kaushal is
pursuing Master of Technology in Power
Electronics from Malwa Institute of
Technology, Indore (M.P.), affiliated to
Rajiv Gandhi Proudhyogiki
Vishwavidyalaya, Bhopal. He is working an
area of forward backward sweep, local
search and optimal DG placement in RDS.
International Journal of Engineering and Techniques - Volume 2 Issue 5, Sep – Oct 2016
ISSN: 2395-1303 http://www.ijetjournal.org Page 98
Mrs. Minal Tomar is working
as Assistant Professor and Head in
Department of Electrical and Electronics
Engineering from Malwa Institute of
Technology, Indore(M.P.) India. Her
Interested Research Area in Distributed
Generation through renewable energy, Local
Search Optimization. She has published
many research paper based on Voltage Sag
Mitigation Techniques, Distribution System.
VII. REFRENCES
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ISSN: 2395-1303 http://www.ijetjournal.org Page 99
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[IJET V2I5P13] Authors: Pawan Kumar Kaushal, Mrs. Minal Tomar

  • 1. International Journal of Engineering and Techniques - Volume 2 Issue 5, Sep – Oct 2016 ISSN: 2395-1303 http://www.ijetjournal.org Page 94 Review of Load Flow Analysis for Three Phase Radial Distribution System Pawan Kumar Kaushal1 , Mrs. Minal Tomar2 1 Research Scholar Department of Electrical & Electronics, MIT, Indore 2 Associate Professor Department of Electrical & Electronics, MIT, Indore I. INTRODUCTION Power flow or load flow studies are performed for the determination of the steady state operating condition of a power system. This is the most frequently carried out study by power utilities and is required to be performed for power system planning, operation, optimization and control. At the design stage, load flow analysis [3, 9] is used to check whether the voltage profiles are expected to be within limits throughout the network. The effectiveness of the backward forward sweep method in the analysis of radial distribution systems has already been proven by researchers, by comparing it to the traditional load flow methods. The forward backward sweep method [1, 3, 5] is commonly used due to its computational efficiencies and solution accuracies. Radial distribution system [2] [3] can be modeled as a network of buses connected by distribution lines, switches & transformers. The load-flow study of radial distribution network is of prime importance for effective planning of load transfer Local Search is a family of general-purpose techniques for search and optimization problems, which are based on several variants of the simple idea. Each Local Search technique prescribes a different strategy for dealing with the foggy situation. The application of Local Search algorithms to optimization problems dates back to early 1960s. Since that time the interest in this subject has considerably grown in the fields of Operations Research, Computer Science and Artificial Intelligence. Local Search algorithms are non-exhaustive in the sense that they do not guarantee to find a feasible (or optimal) solution, but they search non-systematically until a specific stop criterion is satisfied. Nevertheless, these techniques are very appealing because of their effectiveness and their widespread applicability [24, 26, 28]. II. RESEARCH SUMMARY RESEARCH ARTICLE OPEN ACCESS Abstract: This paper based on review of load flow analysis of radial distribution system. The problem on unbalancing of reactive power is in single phase and three phases. Therefore to improve & enhancing voltage profile and stability of the existing power system, load flow analysis is alternative solution. Here is review on different approaches by different author’s for load flow analysis in three phase radial distribution system to improve voltage stability and to minimize the transmission line losses. Different optimization techniques may be use to identify as well as applied in three phase radial distribution system with analysis of different authors review and based on merits and demerits of radial distribution system. Local search optimization is also described based on this review.
  • 2. International Journal of Engineering and Techniques - Volume 2 Issue 5, Sep – Oct 2016 ISSN: 2395-1303 http://www.ijetjournal.org Page 95 There is summary of different academician/researchers given in below table: S r. N o. Author’s Name Methods/T echnique Optimi zation Outcom e 1. Yuntao Ju, Wenchuan Wu, Boming Zhang, Hongbin Sun Loop Analysis Forwar d Backwa rd Sweep Three- Phase Models To Check The Perform ance Of Forward Backwa rd Sweep Method 2. A. D. Rana, J. B. Darji, Mosam Pandya KCL And KVL Forwar d Sweep And Backwa rd Sweep Transmi ssion Line Losses ,IEEE 33 Bus Radial Distribu tion System 3. M. E. Baran And F. F. Wu Non-Linear Equations Newton - Raphso n Method Comput ational Efficien cy In Power Flow 4. Puthireddy Umapathi Reddy, Sirigiri Sivanagara ju, Prabandha mkam Sangames wararaju Zero Sequence- Voltage And Current Forwar d Backwa rd Sweep 19-Bus Unbalan ced System For Grounde d Star- Delta And Delta Grounde d Star Transfor mer Connect ions III. RADIAL DISTRIBUTION SYSTEM According to scheme of operation, distribution system may be classified as:1) Radial distribution network 2)Ring main system 3) Interconnected System. Selection of Radial distribution system based on load flow study can be possible for analyzing, study and review about three phase radial distribution system.
  • 3. International Journal of Engineering and Techniques - Volume 2 Issue 5, Sep – Oct 2016 ISSN: 2395-1303 http://www.ijetjournal.org Page 96 Figure:1 IEEE-33 bus Radial Distribution System In above figure IEEE-33 bus system in which has distributiion from bus number 18, 22 and 25. It is used to analyze for three phase RDS. Table:1 Discription of Radial Distribution System Load Flow in Radial Distribution System Merits Demerits Newton - Downhill 1. Not Depends on Initial Solution 2. Higher Convergence Rate  Converge nce order is less than 2  If jacobian matrix is singular then failed Genetic Algorithm Based 1. Simple Implementation 2. Suitable for Offline Problems  In Complex network excessive computat ion time  Sensitive to controller paramete r Particle Swarn Optimization (PSO) 1. Offline Problems suitable 2. Faster than Genetic Algorithm  Slower Converge nce  In complex network Unsucces sful Artificial Neural Network 1. Suitable for On- line problems 2. Least Computation Time  Other methods Need  Specified Input Range Limited Forward/Backw ard Sweep Method 1. Jacobian Matrix is Not Needed 2. KCL equations 3. Not Depends on PV and DG Number for small Networks 4. Suitable for online and offline Problems  Unsucces sful for Heavy Load  Unsucces sful for large scale network IV. ALGORITHM Load flow in three phase radial distribution can be analyzed by flow chart for determination of kW and kVAR.
  • 4. International Journal of Engineering and Techniques - Volume 2 Issue 5, Sep – Oct 2016 ISSN: 2395-1303 http://www.ijetjournal.org Page 97 V. OPTIMIZATION TECHNIQUES There are different optimizations techniques can be used in load flow study for three phase radial distribution system: Local search optimization: These optimization techniques are applicable for determining number of busses, nodes and any other things in radial distribution system. 1) Metaheuristic methods 2) Stochastic optimization Table 2: Characteristics of Local Search Methods Feature Hill Climbing Simulated Annealing Tabu Search Initial Solution Not Specified Random Not Specified Select Move Random Random Best Non Tabu Acceptabl e Move Non- Worsening Always improve Worsening Always Stop Search Idle Iterations Frozen System Idle Iterations As per description of another optimization techniques shown in figure there has artificial intelligence, genetic algorithm, particle swarm optimization and forward backward sweep optimization but this method is further classified on the basis of branch current based, branch power based and branch impedance based. VI. AUTHOR’S BIOGRAPHY Mr. Pawan Kaushal is pursuing Master of Technology in Power Electronics from Malwa Institute of Technology, Indore (M.P.), affiliated to Rajiv Gandhi Proudhyogiki Vishwavidyalaya, Bhopal. He is working an area of forward backward sweep, local search and optimal DG placement in RDS.
  • 5. International Journal of Engineering and Techniques - Volume 2 Issue 5, Sep – Oct 2016 ISSN: 2395-1303 http://www.ijetjournal.org Page 98 Mrs. Minal Tomar is working as Assistant Professor and Head in Department of Electrical and Electronics Engineering from Malwa Institute of Technology, Indore(M.P.) India. Her Interested Research Area in Distributed Generation through renewable energy, Local Search Optimization. She has published many research paper based on Voltage Sag Mitigation Techniques, Distribution System. VII. REFRENCES [1] S. Ghosh, D. Das “Method for load-flow solution of radial distribution network,” IEE Proceeding Generation Transmission Distribution, vol. 146, no. 6, Nov. 1999. [2] W. H. Kersting, “Distribution System Modeling and Analysis” Boca Raton, FL: CRC Press, 2002. [3] D. Shirmohammadi,et al “A compensation- based power flow method for weakly meshed distribution and transmission networks,” IEEE Transaction Power System, vol. 3, no. 2, pp. 753–762, May 1988. [4] W. H. Kersting, “Radial distribution test feeders – IEEE distribution planning working group report,” IEEE Transaction Power System, vol. 6, no. 3, pp. 975–985, Aug. 1991. [5] M. E. Baran and F. F. Wu, “Network reconfiguration in distribution systems for loss reduction and load balancing,” IEEE Transaction Power, vol. 4, no. 2, pp. 1401–1407, Apr. 1989. [6] G. X. Luo and A. Semlyen, “Efficient load flow for large weakly meshed networks,” IEEE Transaction Power System, vol. 5, no. 4, pp. 1309– 1316, Nov. 1990. [7] T. H. Chen, et al “Distribution system power flow analysis-a rigid approach,” IEEE Transaction Power, vol. 6, no. 3, pp. 1146–1152, Jul. 1991. [8] S. K. Goswami and S. K. Basu, “Direct solution of distribution systems,” in IEE Proceeding Generation Transmission, Distribution, vol. 138, pp. 78–88 Year 1991 [9] D. Rajicic,et al, “Voltage correction power flow,” IEEE Transaction Power vol. 9, no. 2, pp. 1056– 1062, Apr. 1994. [10] C. S. Cheng and D. Shirmohammadi, “A three- phase power flow method for real-time distribution system analysis,” IEEE Trans. Power Syst., vol. 10, no. 2, pp. 671–679, May 1995. [11] X. Zhang,et al “A distribution short circuit analysis approach using hybrid compensation method,” IEEE Transaction Power System, vol. 10, no. 4, pp. 2053–2059, Nov. 1995. [12] D. Rajicic and R. Taleski, “Two novel methods for radial and weakly meshed network analysis,” Electrical Power System, vol. 48, pp. 79–87, 1998. [13] D. Rajicic and A. Dimitrovski, “A new method for handling PV nodes in backward/forward power flow for radial and weakly meshed networks,” in Proceeding Power Technology, IEEE , pp. 3–6, 2001 [14] Y. Zhu and K. Tomsovic, “Adaptive power flow method for distribution systems with dispersed generation” IEEE Transaction Power, vol. 17, no. 3, pp. 822–827, Jul. 2002. [15] A.Losi andM. Russo, “Object-oriented load flow for radial and weakly meshed distribution networks” IEEE Transaction Power System vol. 18, no. 4, pp. 1265–1274, Nov. 2003. [16] A. Yazdani and R. Iravani, “A unified dynamic model and control for the voltage-sourced converter under unbalanced grid conditions” IEEE Transaction Power, vol. 3, no. 3, pp. 1620–1629, Jul. 2006. [7] Goswami SK, Basu “Direct solution of distribution systems” IEE Proceedings 1991. [18] Cs Cheng ,D Shirmohammadi “A three-phase power flow method for real-time distribution system analysis” IEEE Transactions on Power Systems 1995. [19] Thukaram D et al “A robust three phase power flow algorithm for radial distribution systems” EPSR 1999. [20] Renato Cespedes G. “New method for the analysis of distribution networks” IEEE Transactions on Power Delivery 1990 [21] Das D, Kothari DP, Kalam “A. Simple and efficient method for load flow solution of radial distribution networks” EPES 1995 [22] Baran ME, Wu FF “Optimal sizing of capacitors placed on a radial distribution system” IEEE Transactions on Power Delivery 1989. [23] Zhang F, Cheng CS “A modified Newton method for radial distribution system power flow analysis” IEEE Transactions on Power Systems 1997. [24] Wu FF “Theoretical study of the convergence of the fast decoupled load flow” IEEE Transactions on PAS 1977. [25] Luo GX, Semlyen “A. Efficient load-flow for large weakly meshed networks” IEEE Transactions ,Power System, 1990. [26] Rajicic D, Taleski R. “Two novel methods for radial and weakly meshed network analysis” EPSR 1998.
  • 6. International Journal of Engineering and Techniques - Volume 2 Issue 5, Sep – Oct 2016 ISSN: 2395-1303 http://www.ijetjournal.org Page 99 [27] Lin CE et al “Distribution system load-flow calculation with microcomputer implementation” EPSR 1987. [28] Shirmohammadi D, “A compensation- based power flow method for weakly meshed distribution and transmission networks” IEEE Transactions on Power Systems 1988. [29] Broadwater RP,et al “Power flow analysis of unbalanced multiphase radial distribution system” EPSR 1988. [30] Haque MH “Load flow solution of distribution systems with voltage dependent load models” EPSR 1996. [31] Bompard E et al, “The critical load increase direction in voltage collapse studies” Electric Power Systems Research 1997. [32] Carpaneto E et al “ A Newton–Raphson method for steady-state voltage stability assessment” International Workshop Bulk Power System Voltage Phenomena II, McHenry, Maryland, August 1991. [33] Ralston A, Rabinowitz P “A first course in numerical analysis” International Student Edition, McGraw Hill, Auckland, 2nd edition 1978. [34] A. Augugliaro, et al, “A compensation-based method to model PV nodes in backward/forward distribution network analysis,” CIJCMEEE, volume- 26,pp. 481–493, 2007. [35] S. Khushalani, et al, “Development of three phase unbalanced power flow using PV and PQ models for distributed generation and study of the impact of DG models,” IEEE Transaction Power System, volume 22, pp. 1019–1025, Aug. 2007. [36] D.P.Sharma et al “An Improved Mechanism of a Leaf Node Identification for Radial Distribution Network”, IEEE Power and Energy Conference organized by university of Illinois, U.S.A, 25-26 February, 2011. [37] Kumar A et al “An Improved Power Flow Technique for Distribution Systems”, Journal of Computer Science, Informatics and Electrical Engineering, Volume .3, Issue 1, 2009. [38] S. Sivanagaraju, et al, “A loop based loop flow method for weakly meshed distribution network”, ARPN Journal of Engineering and Applied Sciences ISSN 1819-6608, Vol.3,no. 4, August 2008. [39] Prasad K., Sahoo N. C., Chaturvedi A. and Ranjan R, “A Simple Approach In Branch Current Computation in Load Flow Analysis Of Radial Distribution Systems”, International Journal for Electrical Engineering Education, Vol.44/1, pp.1,2007. [40] J. Arrillaga and C. P. Arnold, Computer Analysis of Power Systems, John Wiley & Sons, 1990. [41] J. Arrillaga, C. P. Arnold, and B. J. Harker, Computer Modeling of Electrical Power Systems, John Wiley & Sons, 1983. [42] M. E. Baran and F. F. Wu, “Optimal Sizing of Capacitors Placed on a Radial Distribution System”, IEEE Transactions on Power Delivery, Vol. 4, No. 1, January 1989 [43] R. Berg, Jr., E. S. Hawkins, and W. W. Pleines, “Mechanized Calculation of Unbalanced Load Flow on Radial Distribution Circuits”, IEEE Transactions on Power Apparatus and Systems,Vol. PAS-86, No. 4, April 1967. [44] A. R. Bergen, Power Systems Analysis, Prentice-Hall, Englewood Cliffs, NJ, 1986. [45] H. E. Brown, et al, “Power Flow Solution by Impedance Matrix Iterative Method”, IEEE Transactions on Power Apparatus and Systems, Vol. PAS-82, April 1963. [46] H. E. Brown, et al “Z-Matrix Algorithms in Load-Flow Programs”, IEEE Transactions on Power Apparatus and Systems, Vol. PAS-87, No. 3, March 1968. [47] M. S. Chen and W. E. Dillon, “Power System Modeling”, Proceedings of the IEEE, Vol. 62, No. 7, July 1974. [48] T. H. Chen, et al, “Distribution System Power Flow Analysis - A Rigid Approach”, IEEE Transactions on Power Delivery, Vol. 6, No. 3, July 1991. [49] T. H. Chen, “Generalized Distribution Analysis System”, at Arlington, May 1990. [50] C. S. Cheng et al “A Three-Phase Power Flow Method for Real-Time Distribution System Analysis”, IEEE/PES 1994