Abstract

Energy management systems have a key role in the operation of micro-grid appli- cations. Due to their importance, several approaches have been reported in the spe- cialized literature. In this chapter a novel formulation for robust optimization-based EMS for micro-grid applications. The novelty recast in the introduction of transmis- sion constraints and in the avoidance of the use of prediction models for the uncer- tain variables. In this formulation a time-variant uncertainty set is used to include the uncertainty in the optimization process. Unlike in the approaches reported in the specialized literature the sets are previously defined based on the empirical statis- tics of historical data available. Thus, at each sampling time the boundaries for the uncertain variables are obtained without using a prediction model. This reduces the complexity of the EMS making possible to compute the solution of the associated optimization problem in the range of the seconds. A modified version of the IEEE 9- bus system benchmark was used as test-bench. In the modified version the hydraulic generation unit (the largest unit in the system) was changed by an equivalent wind power station. The EMS was in charge of assigning the real power and the voltage level of the remaining two generation units.