  In order to prevent the potential frequency instability due to the high Power
Electronics (PE) penetration under an unintentional islanding event, this paper
presents a novel microgrid scheduling model which explicitly models the system
frequency dynamics as well as the long/short term uncertainty associated with
renewable energy resources and load. Synthetic Inertia (SI) control is applied
to regulating the active power output of the Inverter-Based Generators (IBGs)
to support the post-islanding frequency evaluation. The uncertainty associated
with the noncritical load shedding is explicitly modeled based on the
distributionally robust formulation to ensure resilient operation during
islanding events. The resulted frequency constraints are derived analytically
and reformulated into Second-Order Cone (SOC) form, which are further
incorporated into the microgrid scheduling model, enabling optimal SI provision
of Renewable Energy Sources (RESs) from the micorgrid perspective. With the SOC
relaxation of the AC power flow constraints, the overall problem is constructed
as a mixed-integer SOC Programming (MISOCP). The effectiveness of the proposed
model is demonstrated based on modified IEEE 14-bus system.
