in this paper, we investigated the necessity and effects of optimal control methods in the stability and performance of a micro-grid that operates in islanded mode. the micro-gird is consisted of a combine heat and power (chp), a capacitor bank (cb), photovoltaic panel (pv) as power generation sources. in addition, battery and the building electricity and thermal load are placed on the load sid...

In this paper optimal control problems governed by elliptic semilinear equations and subject to pointwise state constraints are considered. These problems are discretized using finite element methods and a posteriori error estimates are derived assessing the error with respect to the cost functional. These estimates are used to obtain quantitative information on the discretization error as well...