Summary: | Power flow is the backbone for power system operation and control. Power system balancing, where supply of energy has to equal demand all time, is a very important operation constraint for electric power systems. In recent years, penetration of Distributed Energy Resources (DERs) especially Renewable Energy Sources (RESs) into the distribution system has increased. RESs are known by their intermittent behavior in nature. Hence, as the number of these RESs increases, the sudden frequent change in power flow increases. Therefore, new obstacles to the operation and control of power systems arise. Power distribution system is also sparse and large system. Moreover, most traditional power flow solutions are based on iterative techniques which obviously take time. Therefore, computation time is a real problem when finding power flow solutions at distribution system especially with the unpredictability of RESs. To overcome these problems, a real-time linearized three-phase AC Power Flow (ACPF) model at distribution system is proposed. In this paper the linearized ACPF at distribution system is molded as follows. First Quasi linearized ACPF equations are developed for short period of time based on Newton's Raphson (NR) method. Second sparse reordering algorithm techniques are used to reorder the node numbering of the power distribution system to reduce computational time. Then, simulation on IEEE 4 bus power system and IEEE 37 bus power distribution system are presented to validate the proposed model. Furthermore, Monte Carlo simulation is used to test the robustness of the proposed model.
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