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math.AG2020
Exploiting Symmetry in the Power Flow Equations Using Monodromy
Julia Lindberg, Nigel Boston, Bernard C. Lesieutre
We propose solving the power flow equations using monodromy. We prove the variety under consideration decomposes into trivial and nontrivial subvarieties and that the nontrivial su…
math.AG2020
The Distribution of the Number of Real Solutions to the Power Flow Equations
Julia Lindberg, Alisha Zachariah, Nigel Boston +1
In this paper we study the distributions of the number of real solutions to the power flow equations over varying electrical parameters. We introduce a new monodromy and parameter…
math.AG2013★ 2 cited
An infinite family of 2-groups with mixed Beauville structures
Nathan Barker, Nigel Boston, Norbert Peyerimhoff +1
We construct an infinite family of triples , where are 2-groups of increasing order, are index-2 subgroups of , and are pairs of generators of…