2019/07/24 by Miguel Picallo, Picallo, Miguel, Adolfo Anta +3
Engineering · #Optimal Power Flow Distribution #Power System Optimization and Stability #Smart Grid Energy Management
paper · pdf · doi:10.48550/arxiv.1907.10293
The increasing amount of controllable generation and consumption in\ndistribution grids poses a severe challenge in keeping voltage values within\nadmissible ranges. Existing approaches have considered different optimal power\nflow formulations to regulate distributed generation and other controllable\nelements. Nevertheless, distribution grids are characterized by an insufficient\nnumber of sensors, and state estimation algorithms are required to monitor the\ngrid status. We consider in this paper the combined problem of optimal power\nflow under state estimation, where the estimation uncertainty results into\nstochastic constraints for the voltage magnitude levels instead of\ndeterministic ones. To solve the given problem efficiently and to bypass the\nlack of load measurements, we use a linear approximation of the power flow\nequations. Moreover, we derive a transformation of the stochastic constraints\nto make them tractable without being too conservative. A case study shows the\nsuccess of our approach at keeping voltage within limits, and also shows how\nignoring the uncertainty in the estimation can lead to voltage level\nviolations.\n