Supply Inadequacy Risk Evaluation of Stand-Alone Renewable Powered Heat-Electricity Energy Systems: A Data-Driven Robust Approach

Integration of heat and electricity supply improves the overall energy efficiency system operational flexibility. The renewable powered heat-electricity is a promising way to set up residential facilities in remote areas beyond reach power infrastructures. However, volatility wind solar brings about risk inadequacy. This article proposes data-driven robust method quantify two measures such stand-alone system. uncertainty generation modeled through family ambiguous probability distributions around an empirical one based on Wasserstein metric; then, load shedding during short period related penalty cost are discussed. Through polyhedral characterization feasible region, under ambiguity comes down linear program. With piecewise optimal value function cost, its expectation worst case distribution also gives rise proposed requires moderate information makes full use available data, whereas sustains computational tractability. evaluation result against inaccuracy distributions. Case studies demonstrate effectiveness approach.