|dc.description.abstract||Power system balancing, where supply of energy has to equal demand all time, is a very important constraint for electric power systems. In recent years, number of Distributed Energy Resources (DERs) and penetration of Renewable Energy Sources (RESs) into the distribution systems have increased. RESs are known by their uncertainty and intermittent behavior in nature. Hence, as the number of these RESs increases, uncertainty of meeting power system balance constraints increases. Therefore, new obstacles to the operation and control of power systems arise.
In order to overcome this problem, a real-time AC power flow model for power distribution systems needs to be developed. Yet Distribution power system is sparse and large. Therefore, computation time is a real problem when finding AC power flow solutions at power distribution system. Furthermore, most AC power flow solutions are based on iterative techniques which obviously take time. Solution existence or singularity is another issue when finding the AC power flow solutions, since power distribution system is large and sparse.
In this work, a fast time series power flow method for active distribution system control applications is proposed. First quasi linearized AC power flow model at distribution system is developed. Second reordering algorithms are utilized to reorder power distribution system and reduce complexity and achieve less computational time. Finally, Singular Value Decomposition (SVD) along with the least square method is used to ensure solution existence when singularity at power distribution system occurs.||