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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…