A Holomorphic Embedding Based Continuation Method for Identifying Multiple Power Flow Solutions
For power system engineers, this method improves the efficiency of finding multiple power flow solutions, which is important for voltage stability analysis.
The paper proposes a continuation method that uses holomorphic embedding to efficiently locate multiple power flow solutions, achieving large step sizes and reduced computational steps compared to traditional predictor-corrector methods, as demonstrated on IEEE test cases.
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.