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 …
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 …
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 …