To effectively enhance the integration of distributed and renewable energy
sources in future smart microgrids, economical energy management accounting for
the principal challenge of the variable and non-dispatchable renewables is
indispensable and of significant importance. Day-ahead economic generation
dispatch with demand-side management for a microgrid in islanded mode is
considered in this paper. With the goal of limiting the risk of the
loss-of-load probability, a joint chance constrained optimization problem is
formulated for the optimal multi-period energy scheduling with multiple wind
farms. Bypassing the intractable spatio-temporal joint distribution of the wind
power generation, a primal-dual approach is used to obtain a suboptimal
solution efficiently. The method is based on first-order optimality conditions
and successive approximation of the probabilistic constraint by generation of
p-efficient points. Numerical results are reported to corroborate the merits of
this approach.
