Asymmetrical distribution power flow algorithm in Fortescue coordinates

Existing power flow approaches for three phase networks use either phase coordinates or symmetrical components, a special form of Fortescue coordinates for three phase systems. Thereby symmetrical components are mostly applied to balanced networks. The innovative idea of this paper is to model also single and two phase laterals, typically found in distribution systems, using Fortescue coordinates. Fortescue´s coordinate transformation matrices for two and single phase networks are directly applied to single and two phase laterals connected to buses having the same phase type as the connected equipment. In case of differing phase types at bus-equipment connection points additional transformation matrices are provided. Power flow is solved using Current Injection method. The presented approach provides feasible results improving at the same time significantly performance and decreasing memory usage.