Traditional deterministic power flow analysis does not take into account the randomness of the charging load due to electric vehicles. In order to accurately assess the impact of charging load on the voltage quality of a distribution network, we present a method of evaluating the probability of excessive voltage in a distribution network with an uneven charging electric vehicle load, based on Latin hypercube sampling. First, we establish a probability model of uneven charging load of an electric vehicle, and construct a sample matrix for the uneven charging scenario using Latin hypercube sampling. The dynamic probability distribution of the voltage across the nodes is obtained using a probabilistic power flow calculation and non-parametric kernel density estimation to realize a probability assessment of the voltage quality of the distribution network. Finally, a simulation analysis using an IEEE 30-node system shows that the proposed method is accurate and effective.

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