  Rapid increase of renewable energy sources and electric vehicles in utility
distribution feeders introduces more and more uncertainties. To investigate how
such uncertainties may affect the available delivery capability (ADC) of the
distribution network, it is imperative to employ a probabilistic analysis
framework. In this paper, a formulation for probabilistic ADC incorporating
renewable generators and load variations is proposed; a computationally
efficient method to solve the probabilistic ADC is presented, which combines
the up-to-date sparse polynomial chaos expansion (PCE) and the continuation
method. A numerical example in the IEEE 13 node test feeder is given to
demonstrate the accuracy and efficiency of the proposed method.
