activity
20052023
most citedEmergent failures and cascades in power grids: a statistical physics perspective

51 citations · 263 across the 62 of their papers we have counts for

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Showing 2017Show all

13 papers · 1 filter

math.OC2017★ 2 cited

Electric vehicle charging: a queueing approach

Angelos Aveklouris, Yorie Nakahira, Maria Vlasiou +1

The number of electric vehicles (EVs) is expected to increase. As a consequence, more EVs will need charging, potentially causing not only congestion at charging stations, but also…

math.PR2017

Heavy-Traffic Analysis of Sojourn Time under the Foreground-Background Scheduling Policy

Bart Kamphorst, Bert Zwart

We consider the steady-state distribution of the sojourn time of a job entering an M/GI/1 queue with the foreground-background scheduling policy in heavy traffic. The growth rate o…

math.OC2017

Optimization of stochastic lossy transport networks and applications to power grids

Alessandro Zocca, Bert Zwart

Motivated by developments in renewable energy and smart grids, we formulate a stylized mathematical model of a transport network with stochastic load fluctuations. Using an affine…

physics.soc-ph2017

The impact of a network split on cascading failure processes

Fiona Sloothaak, Sem C. Borst, Bert Zwart

Cascading failure models are typically used to capture the phenomenon where failures possibly trigger further failures in succession, causing knock-on effects. In many networks thi…

math.OC2017

A Stochastic Resource-Sharing Network for Electric Vehicle Charging

Angelos Aveklouris, Maria Vlasiou, Bert Zwart

We consider a distribution grid used to charge electric vehicles such that voltage drops stay bounded. We model this as a class of resource-sharing networks, known as bandwidth-sha…

math.PR2017

Sample-path large deviations for Lévy processes and random walks with Weibull increments

Mihail Bazhba, Jose Blanchet, Chang-Han Rhee +1

We study sample-path large deviations for Lévy processes and random walks with heavy-tailed jump-size distributions that are of Weibull type. Our main results include an extended f…