An Efficient Method for Load−Flow Solution of Radial Distribution Networks
This paper reports a new and accurate method for load-flow solution of radial distribution networks with minimum data preparation. The node and branch numbering need not to be sequential like other available methods. The proposed method does not need sending-node, receiving-node and branch numbers if these are sequential. The proposed method uses the simple equation to compute the voltage magnitude and has the capability to handle composite load modelling. The proposed method uses the set of nodes of feeder, lateral(s) and sub lateral(s). The effectiveness of the proposed method is compared with other methods using two examples. The detailed load-flow results for different kind of load-modellings are also presented.
[1] N. Vempati, R.R.Shoults, M.S. Chen, L. Schwobel ," Simplified feeder
modeling for load flow calculations," IEEE Trans. on Power Systems; vol.2, no.1, pp.168 -174,1987.
[2] T.H.Chen, M.Chen, K.J. Hwang, P. Kotas, E.A.Chebli," Distribution system power flow analysisÔÇöa rigid approach," IEEE Trans. on Power
Delivery; vol.6,no.3 pp. 1146-1152,1981.
[3] "Distribution automation: a practical tool for shaping a more profitable
future: Special report," Electrical World ,pp. 43-50, December 1986.
[4] S.Iwamoto, Y.A.Tamura," Load flow calculation method for ill−conditioned power systems," IEEE Transactions Power Apparatus
and Systems, vol. PAS−100, No. 4, pp. 1706−1713,1981.
[5] D. Rajicic, Y. Tamura, " A modification to fast decoupled load flow for networks with high R/X ratios," IEEE Transactionson Power Systems; vol. 3, no.2, pp.743−746,1988.
[6] W.H.Kersting, D.L. Mendive, " An Application of Ladder Theory to the
Solution of Three-Phase Radial Load-Flow Problem," IEEE Transactions on Power Apparatus and Systems; vol. PAS−98 no.7,
pp.1060 - 1067, 1976.
[7] W.H.Kersting, " A Method to Teach the Design and Operation of a Distribution System," IEEE Transactions on Power Apparatus and
Systems; vol. PAS−103, no.7, pp.1945 - 1952, 1984.
[8] R.A. Stevens , et al., " Performance of Conventional Power Flow Routines for Real Time Distribution Automation Application," Proceedings 18th Southeastern Symposium on Systems Theory: IEEE Computer Society: 196 - 200, 1986.
[9] D, Shirmohammadi, H.W. Hong, A. Semlyn, G.X. Luo, " A Compensation Based Power Flow Method for Weakly Meshed Distribution and Transmission Network," IEEE Transactions on Power
Systems, vol. 3, no.2, pp. 753 - 762,1988.
World Academy of Science, Engineering and Technology 21 2008
[10] M.E. Baran ME and F.F. Wu , " Optimal Sizing of Capacitors Placed on
a Radial Distribution System," IEEE Transactions on Power Delivery; vol. 4, no. 1, pp. 735 - 743, 1989.
[11] C.G. Renato, "New Method for the Analysis of Distribution Networks,"
IEEE Transactions on Power Delivery; vol. 5, no. 1, pp. 9 - 13,1989.
[12] H.D.Chiang , " A Decoupled Load Flow Method for Distribution Power
Networks: Algorithms Analysis and Convergence Study," International Journal of Electrical Power Systems; vol. 13, no.3, pp.130 -138,1991.
[13] S.K. Goswami and S.K. Basu, "Direct Solutions of Distribution Systems," IEE Part C (GTD), vol.138, no.1, pp.78 - 88,1991.
[14] G.B.Jasmon and L.H.C.C. Lee , " Stability of Load-Flow Techniques for Distribution System Voltage Stability Analysis," Proceedings IEE Part C (GTD), vol.138, no. 6, pp. 479 - 484, 1991.
[15] D. Das, H.S.Nagi and D.P. Kothari , "Novel Method for solving radial
distribution networks," Proceedings IEE Part C (GTD), vol.141, no.
4, pp. 291 - 298, 1991.
[16] T.K.A. Rahman and G.B. Jasmon, "A new technique for voltage stability
analysis in a power system and improved loadflow algorithm for distribution network," Energy Management and Power Delivery Proceedings of EMPD '95; vol.2, pp.714 - 719, 1995.
[17] S. Ghosh and D. Das, "Method for Load−Flow Solution of Radial
Distribution Networks," Proceedings IEE Part C (GTD), vol.146,
no.6,pp.641 - 648, 1999.
[18] S. Jamali. M.R.Javdan. H. Shateri and M. Ghorbani , "Load Flow Method for Distribution Network Design by Considering Committed
Loads," Universities Power Engineering Conference , vol.41, no.3, pp. 856 - 860, sept.2006.
[19] P. Aravindhababu, S. Ganapathy and K.R. Nayar, " A novel technique for
the analysis of radial distribution systems," International Journal of
Electric Power and Energy Systems, vol. 23, pp. 167-171, 2001.
[20] S.F. Mekhamer et.al., " Load Flow Solution of Distribution Feeders: A
new contribution," International Journal of Electric Power Components
and Systems,vol. 24, pp.701 −707, 2002.
[21] A. Afsari, S.P. Singh, G.S. Raju, G.K.Rao , " A fast power flow solution
of radial distribution networks," International Journal Electric
Components and Systems, vol. 30, pp.1065−1074,2002.
[22] R. Ranjan and, D. Das , “ Simple and Efficient Computer Algorithm to
Solve Radial Distribution Networks,” International Journal of Electric
Power Components and Systems, vol.31, no. 1,: pp.95 107, 2003.
[23] M.Chakravorty and D.Das, “ Voltage stability analysis of radial
distribution networks,” International Journal of Electric Power and
Energy Systems, vol.23, pp. 129135, 2001.
[24] R.Ranjan, B.Venkatesh and D.Das, “Voltage Stability Analysis of Radial
Distribution Networks,” International Journal of Electric Power
Components and Systems, vol. 33, pp.501 511, 2004.
[25] M.E.Baran and F.F. Wu, “ Network Reconfiguration in Distribution
Systems for Loss Reduction and Load Balancing,” IEEE Transactions
on Power Delivery; vol.4, no.2, pp.1401 – 1407, 1989.
[1] N. Vempati, R.R.Shoults, M.S. Chen, L. Schwobel ," Simplified feeder
modeling for load flow calculations," IEEE Trans. on Power Systems; vol.2, no.1, pp.168 -174,1987.
[2] T.H.Chen, M.Chen, K.J. Hwang, P. Kotas, E.A.Chebli," Distribution system power flow analysisÔÇöa rigid approach," IEEE Trans. on Power
Delivery; vol.6,no.3 pp. 1146-1152,1981.
[3] "Distribution automation: a practical tool for shaping a more profitable
future: Special report," Electrical World ,pp. 43-50, December 1986.
[4] S.Iwamoto, Y.A.Tamura," Load flow calculation method for ill−conditioned power systems," IEEE Transactions Power Apparatus
and Systems, vol. PAS−100, No. 4, pp. 1706−1713,1981.
[5] D. Rajicic, Y. Tamura, " A modification to fast decoupled load flow for networks with high R/X ratios," IEEE Transactionson Power Systems; vol. 3, no.2, pp.743−746,1988.
[6] W.H.Kersting, D.L. Mendive, " An Application of Ladder Theory to the
Solution of Three-Phase Radial Load-Flow Problem," IEEE Transactions on Power Apparatus and Systems; vol. PAS−98 no.7,
pp.1060 - 1067, 1976.
[7] W.H.Kersting, " A Method to Teach the Design and Operation of a Distribution System," IEEE Transactions on Power Apparatus and
Systems; vol. PAS−103, no.7, pp.1945 - 1952, 1984.
[8] R.A. Stevens , et al., " Performance of Conventional Power Flow Routines for Real Time Distribution Automation Application," Proceedings 18th Southeastern Symposium on Systems Theory: IEEE Computer Society: 196 - 200, 1986.
[9] D, Shirmohammadi, H.W. Hong, A. Semlyn, G.X. Luo, " A Compensation Based Power Flow Method for Weakly Meshed Distribution and Transmission Network," IEEE Transactions on Power
Systems, vol. 3, no.2, pp. 753 - 762,1988.
World Academy of Science, Engineering and Technology 21 2008
[10] M.E. Baran ME and F.F. Wu , " Optimal Sizing of Capacitors Placed on
a Radial Distribution System," IEEE Transactions on Power Delivery; vol. 4, no. 1, pp. 735 - 743, 1989.
[11] C.G. Renato, "New Method for the Analysis of Distribution Networks,"
IEEE Transactions on Power Delivery; vol. 5, no. 1, pp. 9 - 13,1989.
[12] H.D.Chiang , " A Decoupled Load Flow Method for Distribution Power
Networks: Algorithms Analysis and Convergence Study," International Journal of Electrical Power Systems; vol. 13, no.3, pp.130 -138,1991.
[13] S.K. Goswami and S.K. Basu, "Direct Solutions of Distribution Systems," IEE Part C (GTD), vol.138, no.1, pp.78 - 88,1991.
[14] G.B.Jasmon and L.H.C.C. Lee , " Stability of Load-Flow Techniques for Distribution System Voltage Stability Analysis," Proceedings IEE Part C (GTD), vol.138, no. 6, pp. 479 - 484, 1991.
[15] D. Das, H.S.Nagi and D.P. Kothari , "Novel Method for solving radial
distribution networks," Proceedings IEE Part C (GTD), vol.141, no.
4, pp. 291 - 298, 1991.
[16] T.K.A. Rahman and G.B. Jasmon, "A new technique for voltage stability
analysis in a power system and improved loadflow algorithm for distribution network," Energy Management and Power Delivery Proceedings of EMPD '95; vol.2, pp.714 - 719, 1995.
[17] S. Ghosh and D. Das, "Method for Load−Flow Solution of Radial
Distribution Networks," Proceedings IEE Part C (GTD), vol.146,
no.6,pp.641 - 648, 1999.
[18] S. Jamali. M.R.Javdan. H. Shateri and M. Ghorbani , "Load Flow Method for Distribution Network Design by Considering Committed
Loads," Universities Power Engineering Conference , vol.41, no.3, pp. 856 - 860, sept.2006.
[19] P. Aravindhababu, S. Ganapathy and K.R. Nayar, " A novel technique for
the analysis of radial distribution systems," International Journal of
Electric Power and Energy Systems, vol. 23, pp. 167-171, 2001.
[20] S.F. Mekhamer et.al., " Load Flow Solution of Distribution Feeders: A
new contribution," International Journal of Electric Power Components
and Systems,vol. 24, pp.701 −707, 2002.
[21] A. Afsari, S.P. Singh, G.S. Raju, G.K.Rao , " A fast power flow solution
of radial distribution networks," International Journal Electric
Components and Systems, vol. 30, pp.1065−1074,2002.
[22] R. Ranjan and, D. Das , “ Simple and Efficient Computer Algorithm to
Solve Radial Distribution Networks,” International Journal of Electric
Power Components and Systems, vol.31, no. 1,: pp.95 107, 2003.
[23] M.Chakravorty and D.Das, “ Voltage stability analysis of radial
distribution networks,” International Journal of Electric Power and
Energy Systems, vol.23, pp. 129135, 2001.
[24] R.Ranjan, B.Venkatesh and D.Das, “Voltage Stability Analysis of Radial
Distribution Networks,” International Journal of Electric Power
Components and Systems, vol. 33, pp.501 511, 2004.
[25] M.E.Baran and F.F. Wu, “ Network Reconfiguration in Distribution
Systems for Loss Reduction and Load Balancing,” IEEE Transactions
on Power Delivery; vol.4, no.2, pp.1401 – 1407, 1989.
@article{"International Journal of Electrical, Electronic and Communication Sciences:57929", author = "Smarajit Ghosh and Karma Sonam Sherpa", title = "An Efficient Method for Load−Flow Solution of Radial Distribution Networks", abstract = "This paper reports a new and accurate method for load-flow solution of radial distribution networks with minimum data preparation. The node and branch numbering need not to be sequential like other available methods. The proposed method does not need sending-node, receiving-node and branch numbers if these are sequential. The proposed method uses the simple equation to compute the voltage magnitude and has the capability to handle composite load modelling. The proposed method uses the set of nodes of feeder, lateral(s) and sub lateral(s). The effectiveness of the proposed method is compared with other methods using two examples. The detailed load-flow results for different kind of load-modellings are also presented.
", keywords = "Load−flow, Feeder, Lateral, Power, Voltage, Composite, Exponential", volume = "2", number = "9", pages = "1959-8", }
