Faster load flow algorithm for radial distribution network using graph theory

Abstract

Summary Since last 3 decades, load flow solutions have enjoyed success on different fronts. Primarily, the importance and utility of these algorithms is assessed using performance measures, which usually include issue like implementation complicacy, optimized execution time, and memory storage. In this work, a graph‐theoretical approach is used to facilitate load flow solutions for a static network topology. Algorithm is tested for 2 different radial distribution topologies, and its deployment for both of these network finally results in phenomenal saving on 2 important algorithm performance measures, ie, time and space complexity. Obtained phenomenal saving for both of these 2 parameters is compared with earlier reported work on statistical basis.

Fast Flexible Direct Power Flow for Unbalanced and Balanced Distribution Systems

“…Tis limitation of traditional BFSM has been overcome by BFS techniques based on matrix formation. Te BFS technique based on matrix formation is described in [26][27][28][29][30][31][32][33][34][35][36][37][38]. Using the substation voltage (that is, the root node) and the branch voltage drop, the bus voltage is calculated (that is, the product of the branch current and the branch impedance).…”

“…Tis matrix formation is difcult in large complex networks, and the treatment for weakly meshed systems is not presented. Furthermore, some methods use graphical methods to create matrices [33][34][35], which are then used in the PF solutions of radial and weakly meshed distribution systems. To solve the PF solution for the distribution systems, a single incidence matrix is used for radial and two matrices for weakly meshed [33].…”

“…However, the difcult task in these two methods is determining the load path, and the need for the formation of a large number of matrices is greater, which requires more iteration and CPU time. Similarly, in [35], a special topological-order matrix derived from graph theory is used to solve the PF solution with BFSM in less time. On the contrary, this method requires careful observation to form the topological matrix in a series of steps.…”

A meshed backward/forward sweep load flow method for islanded meshed microgrids

“…These methods are very efficient for load flow analysis, and they are suitable for both radial and meshed networks. As an example, in grid‐connected operation mode, the aforementioned methods are adaptable since the grid controls the voltage and the frequency of the entire system 1,2 . On the other hand, in islanded operation mode, the system frequency and the voltage of the DG units are determined by the droop characteristics of the DG units 3,4 .…”