Distribution power flow method based on a real quasi-symmetric matrix

Optimal allocation of capacitor banks in radial distribution systems for minimization of real power loss and maximization of network savings using bio-inspired optimization algorithms

“…Methods based on forward/backward sweep processes using Kirchhoff's Laws or making use of the well-known bi-quadratic equation have gained popularity for distribution systems load flow analysis due to its low memory requirements, computational efficiency and robust convergence characteristics. In this paper, method which can find the load flow solution of radial distribution system directly by using topological characteristic of distribution network [19] is used. Single line diagram of radial distribution system with integration of shunt capacitor is shown in Fig.…”

A fast power flow method for radial networks with linear storage and no matrix inversions

“…Methods to incorporate three-phase transformers into the forward/backward sweep-based distribution power flow was presented by Xiao et al in 2006 [11], Teng in 2008 [12] and Elsaiah et al in 2011 [13]. Recent methods focus on matrix formulations in order to improve computational burden [14][15][16][17].…”

Distribution System State Estimation Model Using a Reduced Quasi-Symmetric Impedance Matrix

“…In [22], a three-phase DSSE algorithm is proposed based on the retaining of nonlinearity taking advantage of the characteristics of the radial feeder and is suitable for systems with high R/X ratios. In [23], the authors briefly present how radial exploitation techniques could be applied into the single-phase DSSE problem by introducing the concept of a global radial-exploited distribution matrix [24]. However, it is observed that, in previous contributions, the size of the optimization problem is an important issue to consider due to the large number of nodes of the distribution system.…”