An Analytical Approach for Loss Minimization and Voltage Profile Improvement in DistributionSystems with Renewable Energy Sources

Loss minimization and voltage profile improvement are of prime importance in distribution system operation. This paper presents an analytical approach for coordinating distributed energy resources to reduce the active power loss in distribution networks. The proposed approach is based on the network admittance matrix and has an explicit solution if all loads in the network are constant current loads. Furthermore, it is shown that when loads are modeled with other characteristics such as constant power loads, a numerically efficient solution of loss minimization can also be obtained. The resulting solution reduces network losses while ensuring a nominal voltage at the point of common coupling. Case studies on a 19-node distribution system are presented to validate the proposed approach.