An Effective Approach for Distribution System Power Flow Solution

Authors: A. Alsaadi, B. Gholami

Abstract:

An effective approach for unbalanced three-phase distribution power flow solutions is proposed in this paper. The special topological characteristics of distribution networks have been fully utilized to make the direct solution possible. Two matrices–the bus-injection to branch-current matrix and the branch-current to busvoltage matrix– and a simple matrix multiplication are used to obtain power flow solutions. Due to the distinctive solution techniques of the proposed method, the time-consuming LU decomposition and forward/backward substitution of the Jacobian matrix or admittance matrix required in the traditional power flow methods are no longer necessary. Therefore, the proposed method is robust and time-efficient. Test results demonstrate the validity of the proposed method. The proposed method shows great potential to be used in distribution automation applications.

Keywords: Distribution power flow, distribution automation system, radial network, unbalanced networks.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1082827

References:

[1] IEEE Tutorial Course on Distribution Automation.
[2] IEEE Tutorial Course on Power Distribution Planning.
[3] W. M. Lin and M. S. Chen, "An overall distribution automation structure," Elect. Power Syst. Res., vol. 10, pp. 7-19, 1986.
[4] B. Stott and O. Alsac, "Fast decoupled load flow," IEEE Trans. Power Apparat. Syst., vol. 93, pp. 859-869, May/June 1974.
[5] J. H. Teng andW. M. Lin, "Current-based power flowsolutions for distribution systems," in Proc. IEEE Int. Conf. Power Syst. Technol., Beijing, China, 1994, pp. 414-418.
[6] T. S. Chen, M. S. Chen, T. Inoue, and E. A. Chebli, "Three-phase cogenerator and transformer models for distribution system analysis," IEEE Trans. Power Delivery, vol. 6, pp. 1671-1681.2, Oct. 1991.
[7] T.-H. Chen, M.-S. Chen, K.-J. Hwang, P. Kotas, and E. A. Chebli, "Distribution system power flow analysisÔÇöA rigid approach," IEEE Trans. Power Delivery, vol. 6, pp. 1146-1152, July 1991.
[8] T. H. Chen and J. D. Chang, "Open wye-open delta and open delta-open delta transformer models for rigorous distribution system analysis," in Proc. Inst. Elect. Eng., vol. 139, 1992, pp. 227-234.
[9] K. A. Birt, J. J. Graffy, J. D. McDonald, and A. H. El-Abiad, "Three phase load flow program," IEEE Trans. Power Apparat. Syst., vol. PAS- 95, pp. 59-65, Jan./Feb. 1976.
[10] D. Shirmohammadi, H. W. Hong, A. Semlyen, and G. X. Luo, "A compensation- based power flow method for weakly meshed distribution and transmission networks," IEEE Trans. Power Syst., vol. 3, pp. 753- 762, May 1988.
[11] G. X. Luo and A. Semlyen, "Efficient load flow for large weakly meshed networks," IEEE Trans. Power Syst., vol. 5, pp. 1309-1316, Nov. 1990.
[12] C. S. Cheng and D. Shirmohammadi, "A three-phase power flowmethod for real-time distribution system analysis," IEEE Trans. Power Syst., vol. 10, pp. 671-679, May 1995.
[13] R. D. Zimmerman and H. D. Chiang, "Fast decoupled power flow for unbalanced radial distribution systems," IEEE Trans. Power Syst., vol. 10, pp. 2045-2052, Nov. 1995.
[14] W. M. Kersting and L. Willis, "Radial Distribution Test Systems, IEEE Trans. Power Syst.", vol. 6, IEEE Distribution PlanningWorking Group Rep., Aug. 1991.