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Automating the discovery of partial differential equations in dynamical systems (2024)
Journal Article
Li, W., & Carvalho, R. (2024). Automating the discovery of partial differential equations in dynamical systems. Machine Learning: Science and Technology, 5(3), Article 035046. https://doi.org/10.1088/2632-2153/ad682f

Identifying partial differential equations (PDEs) from data is crucial for understanding the governing mechanisms of natural phenomena, yet it remains a challenging task. We present an extension to the ARGOS framework, ARGOS-RAL, which leverages spar... Read More about Automating the discovery of partial differential equations in dynamical systems.

Automatically discovering ordinary differential equations from data with sparse regression (2024)
Journal Article
Egan, K., Li, W., & Carvalho, R. (2024). Automatically discovering ordinary differential equations from data with sparse regression. Communications Physics, 7(1), Article 20. https://doi.org/10.1038/s42005-023-01516-2

Discovering nonlinear differential equations that describe system dynamics from empirical data is a fundamental challenge in contemporary science. While current methods can identify such equations, they often require extensive manual hyperparameter t... Read More about Automatically discovering ordinary differential equations from data with sparse regression.

Automatically identifying ordinary differential equations from data (2023)
Report
Egan, K., Li, W., & Carvalho, R. (2023). Automatically identifying ordinary differential equations from data. Durham University

Discovering nonlinear differential equations that describe system dynamics from empirical data is a fundamental challenge in contemporary science. Here, we propose a methodology to identify dynamical laws by integrating denoising techniques to smooth... Read More about Automatically identifying ordinary differential equations from data.

Analysis of Energy Consumption at Slow Charging Infrastructure for Electric Vehicles (2021)
Journal Article
Straka, M., Carvalho, R., Poel, G. V. D., & Buzna, L. (2021). Analysis of Energy Consumption at Slow Charging Infrastructure for Electric Vehicles. IEEE Access, 9, https://doi.org/10.1109/access.2021.3071180

Here, we develop a data-centric approach to analyse which activities, functions, and characteristics of the environment surrounding the slow charging infrastructure impact the distribution of the electricity consumed at slow charging infrastructure.... Read More about Analysis of Energy Consumption at Slow Charging Infrastructure for Electric Vehicles.

Collective Effects and Performance of Algorithmic Electric Vehicle Charging Strategies (2018)
Presentation / Conference Contribution
Gardlo, M., Buzna, Ľ., Carvalho, R., Gibbens, R., & Kelly, F. (2018). Collective Effects and Performance of Algorithmic Electric Vehicle Charging Strategies. In 2018 IEEE Workshop on Complexity in Engineering (COMPENG), 10-12 October 2018, Florence (1-7). https://doi.org/10.1109/compeng.2018.8536246

We combine the power flow model with the proportionally fair optimization criterion to study the control of congestion within a distribution electric grid network. The form of the mathematical optimization problem is a convex second order cone that c... Read More about Collective Effects and Performance of Algorithmic Electric Vehicle Charging Strategies.

Controlling congestion on complex networks: fairness, efficiency and network structure (2017)
Journal Article
Buzna, Ľ., & Carvalho, R. (2017). Controlling congestion on complex networks: fairness, efficiency and network structure. Scientific Reports, 7(1), Article 9152. https://doi.org/10.1038/s41598-017-09524-3

We consider two elementary (max-flow and uniform-flow) and two realistic (max-min fairness and proportional fairness) congestion control schemes, and analyse how the algorithms and network structure affect throughput, the fairness of flow allocation,... Read More about Controlling congestion on complex networks: fairness, efficiency and network structure.

Critical behaviour in charging of electric vehicles (2015)
Journal Article
Carvalho, R., Buzna, L., Gibbens, R., & Kelly, F. (2015). Critical behaviour in charging of electric vehicles. New Journal of Physics, 17(9), Article 095001. https://doi.org/10.1088/1367-2630/17/9/095001

The increasing penetration of electric vehicles over the coming decades, taken together with the high cost to upgrade local distribution networks and consumer demand for home charging, suggest that managing congestion on low voltage networks will be... Read More about Critical behaviour in charging of electric vehicles.

Congestion dependencies in the European gas pipeline network during crises (2014)
Presentation / Conference Contribution
Buzna, L., Carvalho, R., Bono, F., Masera, M., & Arrowsmith, D. (2014). Congestion dependencies in the European gas pipeline network during crises. In M. Rosas-Casals, & A. Grau (Eds.), 2014 Workshop on Complexity in Engineering (COMPENG) : June 16-17, 2014, Faculty of Mathematics and Statistics, Barcelona, Spain (1-5). https://doi.org/10.1109/compeng.2014.6994681

Conflicts, geo-political crises, terrorist attacks, or natural disasters can turn large parts of energy distribution networks off-line, creating unexpected congestion in the remaining infrastructure. Given the importance of the security of natural ga... Read More about Congestion dependencies in the European gas pipeline network during crises.

Resilience of Natural Gas Networks during Conflicts, Crises and Disruptions (2014)
Journal Article
Carvalho, R., Buzna, L., Bono, F., Masera, M., Arrowsmith, D. K., & Helbing, D. (2014). Resilience of Natural Gas Networks during Conflicts, Crises and Disruptions. PLoS ONE, 9(3), Article e90265. https://doi.org/10.1371/journal.pone.0090265

Human conflict, geopolitical crises, terrorist attacks, and natural disasters can turn large parts of energy distribution networks offline. Europe's current gas supply network is largely dependent on deliveries from Russia and North Africa, creating... Read More about Resilience of Natural Gas Networks during Conflicts, Crises and Disruptions.