Transform for Probabilistic Voltage Computation on Distribution Feeders with Distributed Generation

Load flow analysis in radial distribution feeders requires probabilistic approaches to cater for random variables such as stochastic load demand and variable renewable generation. Adequate accuracy compared with test solutions and high computational efficiency are vital in the candidate methods. Based on the Herman Beta algorithm initially formulated only for low voltage feeders, a new probabilistic transform suitable for low and medium voltage systems has been developed. The network model simplifications of unity power factor loads and resistive feeders, which were only adequate for LV systems, have been removed. Comparisons with Monte Carlo simulation, including on an IEEE test network, validate the proposed transform for 3 phase 4-wire systems with loads and generation modelled as currents or power.