Comparison of the Methods for Continuous-Time Power Flow Analysis in Power Systems

This paper presents the comparison results of the continuous-time power flow algorithms including the traditional discrete method, Taylor series expansion, and holomorphic embedding (HE) method. Different from the traditional continuous-time power flow method, which repeatedly solves the static operating points, the Taylor expansion and the HE method can obtain analytical time-domain trajectories of volt-age. The AC power flow equations are reformulated as continuous-time power flow problems using Taylor series expansion and holomorphically embedding of time. The power trajectories are fitted through the cubic Bernstein polynomial splines, and the voltage power series of time can be solved analytically via recursion. The simulation results show the advantages of the HE method in computational accuracy and efficiency.