210 citations · 326 across the 8 of their papers we have counts for
5 papers · 1 filter
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…
The Environmental Potential of Hyper-Scale Data Centers: Using Locational Marginal CO Emissions to Guide Geographical Load Shifting
Julia Lindberg, Bernard C. Lesieutre, Line Roald
Increasing demand for computing has lead to the development of large-scale, highly optimized data centers, which represent large loads in the electric power network. Many major com…
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…
RTO Frequency Regulation Market Clearing Formulations and the Effect of Opportunity Costs on Electricity Prices
Adria E. Brooks, Bernard C. Lesieutre
The Regional Transmission Operators each have unique methods to procure frequency regulation reserves used to track real power fluctuations on the grid. Some market clearing practi…
A Locational Price for Power Injection Fluctuations of Variable Generation and Load
Adria E. Brooks, Bernard C. Lesieutre
In this paper we calculate the incremental system production cost associated with a measure of locational power injection uncertainty that can be interpreted as a locational price…