A Novel Method for Load Flow Analysis of Unbalanced Three-Phase Radial Distribution Networks

This paper presents a novel method for load flow analysis in radially operated 3-phase distribution networks without solving the well-known conventional load flow equations. The method can be applied for distribution systems in which the loads are unbalanced. As the size of matrix used is very small compared to those in conventional methods, the amount of memory used is very small, the speed is very high, and the relative speed of calculation increases with the size of the system. The method was applied to some practical networks and the results show the superiority of this method over the conventional ones. As this method is significantly faster than any other method developed to date, it has great potential for on-line operations.

A Novel Method for Load Flow Analysis of Unbalanced Three-Phase Radial Distribution Networks

This paper presents a novel method for load flow analysis in radially operated 3-phase distribution networks without solving the well-known conventional load flow equations. The method can be applied for distribution systems in which the loads are unbalanced. As the size of matrix used is very small compared to those in conventional methods, the amount of memory used is very small, the speed is very high, and the relative speed of calculation increases with the size of the system. The method was applied to some practical networks and the results show the superiority of this method over the conventional ones. As this method is significantly faster than any other method developed to date, it has great potential for on-line operations.

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  • B. Stott, “Review of load flow calculation methods”, Proc. of IEEE, Vol. 62, No 7, pp. 916-929, 1974.
  • S. Iwamoto, Y. Tamura, “A load flow calculation method for ill-conditioned power systems”, IEEE Trans., Vol. PAS-100, pp. 1736-1743, 1981.
  • S.C. Tripathy, G. Durga, “Load flow solutions for ill-conditioned power systems by a Newton-like method”, IEEE Trans., Vol. PAS-101, pp. 3648-3657, 1982.
  • D. Rajicic, A. Bose, “A modiŞcation to fast decoupled power flow for networks with high R/X ratios”, IEEE Trans. on Power Systems, Vol. 3, pp. 743-746, 1988.
  • W.H. Kersting, D.L. Mendive, “An application of ladder-network theory to the solution of three phase radial load flow problem”, IEEE PES Winter Meeting, New York, January 1976.
  • W.H. Kersting, “A method to teach the design and operation of a distribution system”, IEEE Trans., Vol. PAS-103, pp. 1945-1952, 1984
  • R.A. Stevens, D.T. Rizy, S.L. Purucker, “Performance of conventional power flow routines for real-time distri- bution automation application”, Proceedings of the 18th Southeastern Symposium on System Theory, IEEE Computer Society, pp. 196-200, 1986.
  • D. Shirmohammadi, H.W. Hong, A. Semlyen, G.X. Luo, “A compensation-based power flow for weakly meshed distribution and transmission networks”, IEEE Trans. on Power Systems, Vol. 3, pp. 753-762, 1988.
  • M.E. Baran, F.F. Wu, ”Optimal capacitor placement on a radial distribution systems”, IEEE Trans. on Power Delivery, Vol. 4, No. 1, pp. 725-735, 1989.
  • M.E. Baran, F.F. Wu, “Optimal sizing of capacitors placed on a radial distribution system”, IEEE Trans. on Power Delivery, Vol. 4, No. 1, pp. 735-41, 1989.
  • S.K. Goswami, S.K. Basu, “Direct solution of distribution systems”, IEE Proc. C, Vol. 188, No. 1, pp. 78-88, D. Das, H.S. Nagi, D.P. Kothari, “Novel method for solving radial distribution networks”, IEE Proc. C, Vol. , No. 4, pp. 291-298, 1994.
  • S. Ghosh, D. Das, “Method for load flow solution of radial distribution networks”, IEE Proc. Generation, Transmission and Distribution, Vol. 146, No. 6, pp. 641-648, 1999.
  • M.A. Golkar, “A new method for Load flow study in distribution systems,” Stockholm power Tech (IEEE), Sweden, pp. 733-738, 1995.
  • P.M. Anderson, Analysis of Faulted Power Systems, Ames, Iowa State University Press 1976.