Introduction to numerical polynomial homotopy continuation methods for the power systems practitioners

Abstract

The polynomial numerical homotopy continuation method has gained quite some attention from the power systems community due to its ability of finding all power flow solutions. The method is able to adapt to power systems on different networks. Hence, the method has a potential to scale fairly better compared to other computational methods that find all power flow solutions. In this talk, I will spell out the basics of the method, with an emphasis on its parallelizablity, and will demonstrate how the method can be used to solve different subproblems, in order to directly solve power flow equations, such as finding stability boundaries of power flow equations.