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The large-scale penetration of variable renewable energy and their generation uncertainties poses a major challenge for the distribution system operator to efficiently determine the day-ahead real and reactive power distribution locational marginal prices and their underlying components. In this paper, we propose a distribution locational marginal price-based transactive day-ahead market model, that in addition to energy and losses, determines prices for creating congestions and voltage violations under peak-load and large-scale stochastic variable renewable energy penetration conditions. To account for the variable renewable energy uncertainties and the effect of their large-scale penetration on the distribution locational marginal price components and distributed energy resources’ schedules, we use a novel data-driven probability efficient point method that computes the optimal total variable renewable energy …