2019/05/05 by Dan Wu, Bin Wang, Wu, Dan +1 · 1 citation
Engineering · #FOS: Electrical engineering #Optimal Power Flow Distribution #Power System Optimization and Stability #Systems and Control (eess.SY) #Thermal Analysis in Power Transmission #electronic engineering #information engineering
paper · pdf · doi:10.48550/arxiv.1905.01602
openalex publication_date 2019/05/05 · openalex created_date 2019/05/09 · openalex updated_date 2026/07/28
In this paper, we propose an efficient continuation method for locating multiple power flow solutions. We adopt the holomorphic embedding technique to represent solution curves as holomorphic functions in the complex plane. The holomorphicity, which provides global information of the curve at any regular point, enables large step sizes in the path-following procedure such that non-singular curve segments can be traversed with very few steps. When approaching singular points, we switch to the traditional predictor-corrector routine to pass through them and switch back afterward to the holomorphic embedding routine. We also propose a warm starter when switching to the predictor-corrector routine, i.e. a large initial step size based on the poles of the Padé approximation of the derived holomorphic function, since these poles reveal the locations of singularities on the curve. Numerical analysis and experiments on many standard IEEE test cases are presented, along with the comparison to the full predictor-corrector routine, confirming the efficiency of the method.