A Simple Approach of Three phase Distribution System Modeling for Power Flow Calculations
This paper presents a simple three phase power flow
method for solution of three-phase unbalanced radial distribution
system (RDN) with voltage dependent loads. It solves a simple
algebraic recursive expression of voltage magnitude, and all the data
are stored in vector form. The algorithm uses basic principles of
circuit theory and can be easily understood. Mutual coupling between
the phases has been included in the mathematical model. The
proposed algorithm has been tested with several unbalanced radial
distribution networks and the results are presented in the article. 8-
bus and IEEE 13 bus unbalanced radial distribution system results
are in agreements with the literature and show that the proposed
model is valid and reliable.
[1] D. Das, D. P. Kothari, and A. Kalam, 1995. Simple and efficient
method for load flow solution of radial distribution networks,
Electrical Power and Energy Systems, 17(5):335-346.
[2] S. Ghosh, D. Das, 1999. Method for load flow solution of radial
distribution networks, IEE Proc. Generation, Transmission and
Distribution, 146(6):641-648.
[3] P. Aravindhababu, 2003. A new fast decoupled power flow method
for distribution systems, Electric Power Components and Systems,
31(9):869-878.
[4] R. D. Zimmerman and H. D. Chiang, 1995. Fast decoupled power
flow for unbalanced radial distribution systems, IEEE-PES Winter
Meeting, paper no. 95, New York.
[5] S. K. Goswami and S. K. Basu, 1991. Direct solution of distribution
systems, IEE Proc. C, 188(1):78-88.
[6] D. Thukaram, H. M. Wijekoon Banda, and J. Jerome, 1999. A Robust
three phase power flow algorithm for radial distribution systems,
Electric Power System Research, 50(3):227-236.
[7] W. M. Lin, Y. S. Su, H. C. Chin, and J. H. Teng, 1999. Three-Phase
unbalanced distribution power flow solutions with minimum data
preparation, IEEE Trans. on Power Systems, 14(3):1178-1183.
[8] P. A. N. Garcia, J. L. R. Pereira, S. Carnerio, V. M. da Costa, and N.
Martins, 2000. Three-Phase power flow calculations using the current
injection method, IEEE Trans. on Power Systems , 15( 2):508-514.
[9] P. A. N. Garcia, J. L. R. Pereira, and S. Carneiro, Jr., 2001. Voltage
control devices models for distribution power flow analysis, IEEE
Trans. Power Syst., 16(4):586-594.
[10] P. A. N. Garcia, J. L. R. Pereira, and S. Carneiro, Jr., 2004.
Improvements in the representation of PV buses on three-phase
distribution power flow, IEEE Trans. Power Del., 19(2):894-896.
[11] K. N. Mui and H. D. Chiang, 2000. Existence, uniqueness and
monotonic properties of the feasible power flow solution for radial
three phase distribution networks, IEEE Trans. Circuit and Syst.,
47(10):1502-1514.
[12] W. M. Lin and J. H. Teng, 2000. Three-Phase distribution networks
fast decoupled power flow solutions, Electric Power and Energy
Systems, 22(5):375-380.
[13] T. H. Chen, M. S. Chen, K. J. Hwang, P. Kotas, and E. A. Chebli,
1991. Distribution system power flow analysis-a rigid approach,
IEEE Trans. on Power Delivery, 6(3):1146-1153.
[14] J. H. Teng, 2002. A Modified gauss-seidel algorithm of three-phase
power flow analysis in distribution network, Electrical Power and
Energy Systems, 24(2):97-102.
[15] J. H. Teng, 2000. A Network-Topology-based Three-Phase Load
Power Flow for Distribution Systems, Proceedings of National
Science Council ROC (A), 24(4):259-264.
[16] L. L. Grgsby: Editor-in-Chief, The Electric Power Engineering
Handbook, CRC Press 1999, pages 6-53 to 6-62.
[17] W. H. Kersting, Distribution System Modeling and Analysis, CRC
Press 2002, chapter 9.
[18] J. Nagarath and D. P. Kothari, Power system Engineering, New
Delhi: Tata McGraw Hill Publications, 2nd edition, 1998.
[19] D. Shirmohammadi and Carol S. Cheng, 1995. A Three phase power
flow method for real time distribution system analysis, IEEE Trans.
on Power System, 10(2):671-679.
[20] IEEE Distribution System Analysis Subcommittee, 1991. Radial
distribution test feeders, IEEE Trans. on Power Systems, 6(3):975-
985.
[21] Radial Distribution test feeders -
web:http://www.ewh.ieee.org/soc/pes/dsacom/testfeeders.html.
[1] D. Das, D. P. Kothari, and A. Kalam, 1995. Simple and efficient
method for load flow solution of radial distribution networks,
Electrical Power and Energy Systems, 17(5):335-346.
[2] S. Ghosh, D. Das, 1999. Method for load flow solution of radial
distribution networks, IEE Proc. Generation, Transmission and
Distribution, 146(6):641-648.
[3] P. Aravindhababu, 2003. A new fast decoupled power flow method
for distribution systems, Electric Power Components and Systems,
31(9):869-878.
[4] R. D. Zimmerman and H. D. Chiang, 1995. Fast decoupled power
flow for unbalanced radial distribution systems, IEEE-PES Winter
Meeting, paper no. 95, New York.
[5] S. K. Goswami and S. K. Basu, 1991. Direct solution of distribution
systems, IEE Proc. C, 188(1):78-88.
[6] D. Thukaram, H. M. Wijekoon Banda, and J. Jerome, 1999. A Robust
three phase power flow algorithm for radial distribution systems,
Electric Power System Research, 50(3):227-236.
[7] W. M. Lin, Y. S. Su, H. C. Chin, and J. H. Teng, 1999. Three-Phase
unbalanced distribution power flow solutions with minimum data
preparation, IEEE Trans. on Power Systems, 14(3):1178-1183.
[8] P. A. N. Garcia, J. L. R. Pereira, S. Carnerio, V. M. da Costa, and N.
Martins, 2000. Three-Phase power flow calculations using the current
injection method, IEEE Trans. on Power Systems , 15( 2):508-514.
[9] P. A. N. Garcia, J. L. R. Pereira, and S. Carneiro, Jr., 2001. Voltage
control devices models for distribution power flow analysis, IEEE
Trans. Power Syst., 16(4):586-594.
[10] P. A. N. Garcia, J. L. R. Pereira, and S. Carneiro, Jr., 2004.
Improvements in the representation of PV buses on three-phase
distribution power flow, IEEE Trans. Power Del., 19(2):894-896.
[11] K. N. Mui and H. D. Chiang, 2000. Existence, uniqueness and
monotonic properties of the feasible power flow solution for radial
three phase distribution networks, IEEE Trans. Circuit and Syst.,
47(10):1502-1514.
[12] W. M. Lin and J. H. Teng, 2000. Three-Phase distribution networks
fast decoupled power flow solutions, Electric Power and Energy
Systems, 22(5):375-380.
[13] T. H. Chen, M. S. Chen, K. J. Hwang, P. Kotas, and E. A. Chebli,
1991. Distribution system power flow analysis-a rigid approach,
IEEE Trans. on Power Delivery, 6(3):1146-1153.
[14] J. H. Teng, 2002. A Modified gauss-seidel algorithm of three-phase
power flow analysis in distribution network, Electrical Power and
Energy Systems, 24(2):97-102.
[15] J. H. Teng, 2000. A Network-Topology-based Three-Phase Load
Power Flow for Distribution Systems, Proceedings of National
Science Council ROC (A), 24(4):259-264.
[16] L. L. Grgsby: Editor-in-Chief, The Electric Power Engineering
Handbook, CRC Press 1999, pages 6-53 to 6-62.
[17] W. H. Kersting, Distribution System Modeling and Analysis, CRC
Press 2002, chapter 9.
[18] J. Nagarath and D. P. Kothari, Power system Engineering, New
Delhi: Tata McGraw Hill Publications, 2nd edition, 1998.
[19] D. Shirmohammadi and Carol S. Cheng, 1995. A Three phase power
flow method for real time distribution system analysis, IEEE Trans.
on Power System, 10(2):671-679.
[20] IEEE Distribution System Analysis Subcommittee, 1991. Radial
distribution test feeders, IEEE Trans. on Power Systems, 6(3):975-
985.
[21] Radial Distribution test feeders -
web:http://www.ewh.ieee.org/soc/pes/dsacom/testfeeders.html.
@article{"International Journal of Electrical, Electronic and Communication Sciences:64888", author = "J. B. V. Subrahmanyam and C. Radhakrishna", title = "A Simple Approach of Three phase Distribution System Modeling for Power Flow Calculations", abstract = "This paper presents a simple three phase power flow
method for solution of three-phase unbalanced radial distribution
system (RDN) with voltage dependent loads. It solves a simple
algebraic recursive expression of voltage magnitude, and all the data
are stored in vector form. The algorithm uses basic principles of
circuit theory and can be easily understood. Mutual coupling between
the phases has been included in the mathematical model. The
proposed algorithm has been tested with several unbalanced radial
distribution networks and the results are presented in the article. 8-
bus and IEEE 13 bus unbalanced radial distribution system results
are in agreements with the literature and show that the proposed
model is valid and reliable.", keywords = "radial distribution networks, load flow, circuitmodel, three-phase four-wire, unbalance.", volume = "4", number = "3", pages = "688-6", }
