Fuzzy Distribution Power Flow for Weakly Meshed Systems

Abstract

This paper presents a fuzzy distribution power flow (FDPF) for weakly meshed balanced and unbalanced distribution systems. Most of the earlier work in this area is for radial distribution systems. In the proposed method, a matrix similar to Jacobian inverse is directly evaluated, in an efficient manner. The method can handle simultaneous presence of several uncertainties in input variables such as network parameters, load model coefficients, load forecast, and bus shunts. Results have been obtained for two test systems to assess the utility of the proposed method.

An Efficient and Simple Load Flow Approach for Radial and Meshed Distribution Networks

“…(16)(17)(18) Find the branch currents in radial network using backward sweep using eqns. (19)(20)(21) Calculate the voltage drops in each loop using eqn.…”

“…The methods [9][10][11][12][13][14][15][16][17][18][19][20] are adopted for the analysis of weakly meshed distribution systems are based on the concept of break point power injection and bus current injection. Shirmohammadi et al [9] have presented a compensation based power flow method for radial distribution networks and/or for weakly meshed structure using a multi-port compensation technique and basic formulations of Kirchhoff's Laws.…”

“…P. R. Bijwe, et al [17] proposed fuzzy logic based distribution power flow for weakly meshed balanced and unbalanced distribution systems. Dharmasa, et al [18] presented a load flow method for radial and weakly meshed networks based on the collection of graphical information and application of concept of duality to the distribution network.…”

Unified boundary and probabilistic power flow

“…This can be broadly classified into: first, stochastic power flow of which probabilistic power flow (PPF) [4][5][6][7][8][9][10][11][12] is most common and second, fuzzy power flow (FPF) [3,[13][14][15][16][17][18]. Two notable methods of PPF are point estimate method (PEM) [6][7][8] and cumulant method (CM) [11,12].…”

“…PEM PPF allows for nonlinear analysis while CM could only be used for linear analysis. Boundary power flow (BPF) [3,14,18] is a specific sensitivity based variant of FPF. Both, PEM PPF and BPF are computationally intensive and thus the computational burden of a unified boundary and PPF could be immensely huge.…”