Holomorphic Embedding Based Continuation Method for Identifying Multiple Power Flow Solutions




Wu, Dan
Wang, Bin

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Institute of Electrical and Electronics Engineers


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. The 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.



load flow, prediction algorithms, power grids, switches, reactive power, standards, power flow problem, holomorphic embedding, continuation


Wu, D., & Wang, B. (2019). Holomorphic Embedding Based Continuation Method for Identifying Multiple Power Flow Solutions. IEEE Access, 7, 86843-86853. doi:10.1109/ACCESS.2019.2925384


Electrical and Computer Engineering