activity
20142025
collaborators

7 papers

math.OC2025

Geometry of Distance Protection

Josh A. Taylor, Alejandro D. Domínguez-García

Distance relays detect faults on transmission lines. They face uncertainty from the fault's location and resistance, as well as the current from the line's remote terminal. In this…

math.OC2023

Auxiliary Signal-Based Distance Protection in Inverter-Dominated Power Systems

Josh A. Taylor, Alejandro D. Domínguez-García

Power system protection schemes today rely on currents rising by several orders of magnitude when faults occur. In inverter-dominated power systems, a fault current might be just a…

math.OC2023

Information Structures in AC/DC Grids

Josh A. Taylor

The converters in an AC/DC grid form actuated boundaries between the AC and DC subgrids. We show how in both simple linear and balanced dq-frame models, the states on either side o…

math.OC2021

Convex optimization of bioprocesses

Josh Taylor, Alain Rapaport, Denis Dochain

We optimize a general model of bioprocesses, which is nonconvex due to the microbial growth in the biochemical reactors. We formulate a convex relaxation and give conditions guaran…

math.OC2021

Second-order cone optimization of the gradostat

Josh Taylor, Alain Rapaport

We maximize the production of biogas in a gradostat at steady state. The physical decision variables are the water, substrate, and biomass entering each tank and the flows through…

math.OC2017

Optimal Water-Power Flow Problem: Formulation and Distributed Optimal Solution

Ahmed S. Zamzam, Emiliano Dall'Anese, Changhong Zhao +2

This paper formalizes an optimal water-power flow (OWPF) problem to optimize the use of controllable assets across power and water systems while accounting for the couplings betwee…

math.OC2014

A concise, approximate representation of a collection of loads described by polytopes

Suhail Barot, Josh A. Taylor

Aggregations of flexible loads can provide several power system services through demand response programs, for example load shifting and curtailment. The capabilities of demand res…