Fuzzy Distribution Load Flow

In this paper, a fuzzy model for distribution system operation is presented. Uncertainties in loads are modeled as fuzzy numbers. A voltage stability index for each node of radial distribution networks is also proposed. The conditions for voltage collapse to occur are easily derived from this voltage stability index. Among the results, one obtains possibility distributions for substation current, voltage stability index, real and reactive power losses, etc. A general discussion on the results, along with the advantages and disadvantages of the approach, is presented.