A Stochastic Operational Decision Framework For Multiple Local Energy Communities Considering Dependencies in Uncertainty

This paper presents a stochastic decision framework for multiple local energy communities (M-LECs) considering risk behaviour and dependencies in uncertainty. The proposed problem is presented in a bilevel stochastic framework comprising of M-LECs at the upper level and load-serving entity (LSE) at the lower level in the distribution system (DS). The M-LECs strategically optimizes their operating cost using a grid-informed price, distribution locational marginal price, cleared by LSE for peer-to-peer trading, and LECs to grid power transactions. Further, the uncertainty of various sources is modeled using a multi-variate copula distribution to consider their dependencies. The copula model generates correlated random samples to quantify the relationship among different uncertain variables. The problem is mathematically formulated using equilibrium problem with equilibrium constraints (EPEC). The simulation results are implemented on a modified IEEE-33 bus system to demonstrate the effectiveness of the proposed methodology.