Abstract
The optimal management of distributed energy resources is one of the existing challenges for the deployment of microgrids. When microgrids operate under feeder flow control mode, trying to maintain a constant self-consumption, generators adapt their output power to compensate load and non-dispatchable generation variations. So, due to the uncertainty, finding the optimal operation point is an important task that can become complex. This paper proposes an optimal power flow problem formulation for feeder flow controlled microgrids. It iated as a mixed integer second order cone program considering the optimal power flow equations in its relaxed form and uncertainty by means of stochastic formulation. In addition, an algorithm is developed in order to find a feasible optimum solution of the original non-relaxed problem. The proposed algorithm can also be used in other optimal power flow problems with the condition that they must use the same relaxation. The algorithm is validated through the IEEE 33-Bus distribution test system.
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