  This paper studies the operation and scheduling of electric loads in
micro-grid, a highly automated and distributed cyber-physical energy system
(CPES). We establish rigorous mathematical expressions for electric loads and
battery banks in the micro-grid by considering their characteristics and
constraints. Based on these mathematical models, we propose a novel real-time
scheduling analysis method for priority-based energy management in micro-grid,
named Significant Moments Analysis (SMA). SMA pinpoints all the crucial moments
when electrical operations are requested among the micro-grid and establishes a
dynamic model to describe the scheduling behavior of electric loads. Using SMA,
we can check the scheduling feasibility and predict whether the micro-grid can
generate enough power to support the execution of electric loads. In the case
where the power is insufficient to supply load demands, SMA can provide
accurate information about the amount of insufficient power and the time when
the insufficiency happens. Simulated results are presented to show the
effectiveness of the proposed analysis method.
