Abstract
Power flow (PF) is a fundamental tool for operation, automation and optimization of the power systems. Due to the nonlinearity of the PF system equations, the classical PF solutions are computationally very demanding. As a common approach in solving the nonlinear equations, linearization is a potential technique which can simplify and accelerate the PF calculations. In this context, this paper proposes a linear fast iterative method based on the fixed-point iteration technique in which a linearized model of generator along with a ZI load model are integrated in a simplified system of linear equations (SLE) of $Yv=i$ . The relaxation method is used during the deriving process of generator equivalent current in this approach. However, the already developed ZI load model based on the curve-fitting technique has been exploited in this work. The accuracy of the proposed PF method has been compared with calculated results from DIgSILENT PowerFactory on the benchmark IEEE 33-bus test system and on a large medium voltage network in Germany.
Highlights
Power is supplied by conventional power plants and renewable energy technologies and consumed by the loads in the electrical power systems
A new model-based power-flow formulation including the linearized models of both P-Q and P-V nodes is integrated in a simplified system of linear equations in this paper
A ZI load model has been deployed that can accurately model the voltage dependency of the loads in distribution grids. The use of this model leads to a linear formulation in which the system of power flow equations is solved without any iteration
Summary
Power is supplied by conventional power plants and renewable energy technologies and consumed by the loads in the electrical power systems. To introduce a power flow formulation based on the fixed-point iteration technique in which the proposed linearized model of a synchronous generator along with the linear load model derived in [15] are exploited in such a way that the generators equivalent currents are iteratively updated in parallel based on the power angle and the variations of the generator terminal voltage. To this aim, the node voltages are calculated by a simplified system of linear equations (SLE) of Y v = i.
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