Considering the effect of uncertainty of renewable energy source(RES)on the operation of microgrid

it is hard to comprehensively describe operation states and power flow distribution through the traditional deterministic power flow calculation. Based on the randomness and dependency of generators and loads in microgrid

this paper develops a probabilistic power flow model of islanded AC microgrid. The sparse polynomial chaos expansion method is adopted to obtain output response of islanded microgrid quickly and accurately

also it can improve the efficiency of probabilistic power flow calculation of microgrid with high-dimensional input variables. Finally

a 33-node islanded microgrid with several distributed generators is simulated

and the effectiveness and accuracy of the proposed method are verified by comparing with traditional methods.