Holomorphic embedding based continuation method for identifying multiple power flow solutions

D Wu, B Wang - IEEE access, 2019 - ieeexplore.ieee.org
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 …

The distribution of the number of real solutions to the power flow equations

J Lindberg, A Zachariah, N Boston… - IEEE Transactions on …, 2022 - ieeexplore.ieee.org
In this paper we study the distributions of the number of real solutions to the power flow
equations over varying electrical parameters. We develop a new monodromy and parameter …

Distributions of the number of solutions to the network power flow equations

A Zachariah, Z Charles, N Boston… - … Symposium on Circuits …, 2018 - ieeexplore.ieee.org
Operation and planning of electric grids involve the analysis of certain power flow equations,
which exhibit multiple solutions. One solution generally corresponds to a preferred operating …

[图书][B] Convex Algebraic Geometry with Applications to Power Systems, Statistics and Optimization

J Lindberg - 2022 - search.proquest.com
Many important problems in engineering are large scale and nonlinear--two things that are
inherently at odds. As a result, it is desirable to make use of underlying structure to reduce …