Analytical and Statistical Analysis of the Effect of Electric Vehicle Aggregator on the Stochastic Behavior of LMP Using LMP Decomposition

The main goal of this paper is to analytically analyze of the effect of the electric vehicle aggregators on the statistical behaviors of Locational Marginal Prices (LMPs) of busses, considering network congestion. In order to achieve this aim, at the first step, by extending the LMP decomposition into 6 sections in Lemma1, the sensitivities of LMPs to the power generation of aggregators in each bus are analyzed analytically. With the help of the coefficients of LMP decomposition, it can be possible to rank the busses to the presence of electric vehicle aggregators, based on the impact on the random behavior of electricity prices. It must be noted that this ranking does not same with the cap of electric vehicle aggregators. Finally, in order to confirm the analytical results, at second step,  the random behaviors of power generations of aggregators in each bus are simulated in the IEEE-24-bus system, and the STandard Deviations (STD) of LMPs are calculated for all basses. The correlation of STD with LMP decomposition coefficients indicates the accuracy of LMP decomposition in the prediction of the effect of the presence of electric vehicle aggregators on the random behavior of LMP.