  In this article, we focus on the problem of mitigating the risk of not being
able to meet the power demand, due to the inherent uncertainty of renewable
energy generation sources in microgrids. We consider three different demand
scenarios, namely meeting short-time horizon power demand, a sustained energy
demand and a scenario where the power demand at a prescribed future time has to
be met with almost sure guarantee with power generation being stochastic and
following dynamics governed by geometric Brownian motion. For each of these
scenarios we provide solutions to meet the electrical demand. We present
results of numerical experiments to demonstrate the applicability of our
schemes.
