Line independency-based network modelling for backward/forward load flow analysis of electrical power distribution systems
Line independency-based network modelling for backward/forward load flow analysis of electrical power distribution systems
In this paper a straightforward method for line independency-based modelling of electrical power distributionsystems is proposed. The proposed method can determine the backward and forward sweeping routes of distributionsystems for calculating line currents and bus voltages. To do that, the method identifies the independent lines inconsecutive steps. An independent line is a line in the distribution system whose current does not depend on the currentof other lines in the system. The proposed line independency-based network modelling is required to be performed onlyonce and prior to the load flow analysis. The output of the proposed method, which is suitable for backward/forwardload flow analysis, includes matrices which determine the steps, the order of lines, and the start and end points in thesystem for hierarchical calculation of currents and voltages. In this paper, the forward/backward approach is used as theload-flow algorithm since it is suitable for radial distribution systems with unbalanced loads. The proposed methodologyis applied on two IEEE distribution systems and the results show its efficiency in load flow analysis.
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- [1] Khaleghifar N, Amadeh H, Rezaeian Koochi MH. The importance and trends toward flexible loads of residential
consumers in Smart Grids. In: 20th Electric Power Distribution Conference (EPDC). Zahedan, Iran: 2015. pp. 1-6.
- [2] Chen TH, Chen MS, Hwang KJ, Kotas P, Chebli EA. Distribution system power flow analysis-A rigid approach.
IEEE Trans on Power Delivery 1991; 6: 1146-1152.
- [3] Teng H. A modified Gauss-Seidel algorithm of three-phase power flow analysis in distribution networks. Electrical
Power and Energy Systems 2002; 24: 97-102.
- [4] Iwamoto S, Tamura Y. A load flow calculation method for ill conditioned power system. IEEE Trans Power Appar
Syst 1981; 100: 1736-1743.
- [5] Baran ME, Wu FF. Optimal sizing of capacitors placed on a radial distribution system. IEEE Trans on Power
Delivery 1989; 4: 735-743.
- [6] Teng JH, Chang CH. A novel and fast three-phase load flow for unbalanced radial distribution systems. IEEE Trans
on Power Systems 2002; 17: 1238-1244.
- [7] Garcia PAN, Pereira JLR, Carneiro S, da Costa VM, Martins N. Three-phase power flow calculations using the
currents injection methods. IEEE Trans Power Syst 2000; 15: 508-514.
- [8] Garcia PAN, Carneiro S, Pereira JLR. Voltage control devices models for distribution power flow analysis. IEEE
Trans Power Syst 2001; 16: 586-594.
- [9] Teng JH. A network-topology based three-phase load flow for distribution systems. Proc. Natl. Sci. Council ROC
(A) 2000; 24: 259-264.
- [10] Aravindhabuba P, Ganapathy S, Nayar KR. A novel technique for the analysis of radial distribution systems. Elect
Power Energy Syst 2001; 23: 167-171.
- [11] Teng JH. A direct approach for distribution system load flow solutions. IEEE Trans Power Del 2003; 18: 882-887.
- [12] Eltantawy B, Salama MMA. A novel zooming algorithm for distribution load flow analysis for smart grid. IEEE
Trans on Smart Grid 2014; 5: 1704-1711.
- [13] Shirmohammadi D, Hong HW, Semlyen A, Luo GX. A compensation-based power flow method for weakly meshed
distribution and transmission networks. IEEE Trans Power Syst 1988; 3: 753-762.
- [14] Cheng CS, Shirmohammadi D. A three-phase power flow method for real time distribution system analysis. IEEE
Trans Power Syst 1995; 10: 671-679.
- [15] Zhu Y, Tomsovic K. Adaptive power flow method for distribution systems with dispersed generation. IEEE Trans
Power Delivery 2002; 17: 822-827.
- [16] Cespedes GR. New method for the analysis of distribution networks. IEEE Trans. Power Delivery 1990; 5: 391-396.
- [17] Baran ME, Wu FF. Optimal sizing of capacitors placed on a radial distribution system. IEEE Trans Power
Delivery
1989; 4: 735-742.
- [18] Baran ME, Wu FF. Network reconfiguration in distribution systems for loss reduction and load balancing. IEEE
Trans Power Delivery 1989; 4: 1401-1407.
- [19] Luo GX, Semlyen A. Efficient load flow for large weakly meshed networks. IEEE Trans Power Syst 1990; 5: 1309-
1316.
- [20] Rajicic D, Ackovski R, Taleski R. Voltage correction power flow. IEEE Trans Power Delivery 1994; 9: 1054-1062.
- [21] Stoicescu R, Miu K, Nwankpa CO, Niebur D, Yang X. Three-phase converter models for unbalanced radial powerflow studies. IEEE Trans Power Syst 2002; 17: 1016-1021.
- [22] Xiao P, Yu DC, Wa W. A unified three-phase transformer model for distribution load flow calculations. IEEE Trans
Power Syst 2006; 21: 153-159.
- [23] Rajicic D, Ackovski R, Taleski R. Voltage correction power flow. IEEE Trans Power Deliver 1994; 9: 1056-1062.
- [24] Zhu Y, Tomsovic K. Adaptative power flow method for distribution systems with dispersed generation. IEEE Trans
Power Deliver 2002; 17: 822-827.
- [25] Wang Z, Chen F, Li J. Implementing transformer nodal admittance matrices into backward–forward sweep-based
power flow analysis for unbalanced radial distribution systems. IEEE Trans Power Syst 2004; 19: 1831-1836.
- [26] Ghatak U, Mukherjee V. An improved load flow technique based on load current injection for modern distribution
system. Electrical Power and Energy Systems 2017; 84: 168-181.
- [27] Hameed F, Al Hosani M, Zeineldin HH. A modified backward/forward sweep load flow method for islanded radial
microgrids. IEEE Transactions on Smart Grid (accepted for publication in a future issue).
- [28] Singh S, Ghose T. Improved radial load flow method. Electrical Power and Energy Systems 2013; 44: 721-727.
- [29] Kersting W H. Radial distribution test feeders. In: Proc IEEE Power Eng Soc Winter Meeting 2001; 2: 908-912.
- [30] Liu J, Salama M M A, Mansour R R. An efficient power flow algorithm for distribution systems with polynomial
load. Int J Electr Eng Educ 2002; 39: 372-386.