Efficient probabilistic power flow for weakly-meshed distribution networks

This paper presents a single phase probabilistic power flow for weakly meshed networks, taking into account generation and load uncertainties, using the point estimate method. This work makes use of the power flow for radial networks using a compensation technique and presents a sensitivity matrix construction method in detail, both for loops formed by lines as well as by distributed generation. Additionally, some results are shown by comparing the 2m and 2m+1 schemes of the point estimate method proposed by Hong. The integration of the radial power flow and the point estimate method results in a computationally efficient algorithm which is mathematically robust for the probabilistic power flow problem used in distribution network analyses.