Abstract: A method for obtaining a continuous power flow of an electric power system is provided. The method uses the bus having the fastest voltage drop as the local parameterization bus, defines a slope of a line determined by the voltage of the geometric parameterization bus and the load growth factor as the parameterization variable, and adds a one-dimensional geometric parameterization constraint equation near turning points to obtain a nonsingular extended power flow equation, such that the continuation power flow can cross the turning points and a continuous P-V curve can be drawn reliably.

Abstract: A method for obtaining a continuous power flow of an electric power system is provided. The method comprises: establishing first power flow equations for PQ buses, and establishing second power flow equations for PV buses; establishing power flow equations according to the first flow equations, the second power flow equations, and a voltage magnitude and a voltage phase of a balance bus; choosing a bus having a fastest voltage drop as a parameterization bus, and defining a parameterization variable according to a voltage magnitude of the parameterization bus and the load growth factor; defining an equality constraint equation according to the parameterization variable, and generating an extended power flow equation according to the equality constraint equation and the power flow equations; solving the extended power flow equation by a plurality of iterations to obtain a plurality of load summations; generating a P-V curve according to the plurality of load summations.