Hypothesis testing of the stochastic model of demand and supply power of plug-in electric vehicles

This paper investigates the probability distribution of the demand and supply power of plug-in electric vehicles (PEVs) based on the developed stochastic model. Firstly, an established stochastic model is developed to take account of the charging and discharging of different PEVs in the system. Monte Carlo simulation is then employed to compute the probability distributions of PEV load bus power with different parameter conditions of the stochastic model. Then the hypothesis testing is carried out to identify the probability distribution of the PEV demand and supply power. Results of the hypothesis testing demonstrate that the probability distributions in the most cases of parameter conditions are approximate to the Gaussian distribution. Finally, the main parameters of the probability distributions obtained by Monte Carlo simulation are evaluated by parameter estimation.