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In this paper, we develop an online method that leverages machine learning to obtain feasible solutions to the AC optimal power flow (OPF) problem with negligible optimality gaps on extremely fast timescales (e.g., milliseconds), bypassing…

Machine Learning · Computer Science 2019-10-04 Ahmed Zamzam , Kyri Baker

Optical conductivity in molecular semiconductors is suppressed in the terahertz region, featuring the displaced Drude peak that reflects carriers' transient localization (TL) by slow intermolecular vibrations. Meanwhile, recent computations…

Chemical Physics · Physics 2025-11-24 Veljko Janković

Currently existing energy-stable parametric finite element methods for surface diffusion flow and other flows are usually limited to first-order accuracy in time. Designing a high-order algorithm for geometric flows that can also be…

Numerical Analysis · Mathematics 2024-07-15 Meng Li , Yihang Guo , Jingjiang Bi

A key quantity characterizing a time-periodically forced quantum system coupled to a heat bath is the energy flowing in the steady state through the system into the bath, where it is dissipated. We derive a general expression which allows…

Quantum Physics · Physics 2015-06-18 Matthias Langemeyer , Martin Holthaus

We investigate by numerical simulations the behavior of the power dissipated in a resistive load capacitively coupled to a Josephson flux flow oscillator and compare the results to those obtained for a d.c. coupled purely resistive load.…

supr-con · Physics 2009-10-30 C. Soriano , G. Costabile , R. D. Parmentier

We report the first experimental demonstration of recently proposed energy-efficient single flux quantum logic, eSFQ. This logic can represent the next generation of RSFQ logic eliminating dominant static power dissipation associated with a…

Superconductivity · Physics 2015-06-11 Mark Hans Volkmann , Anubhav Sahu , Coenrad Johan Fourie , Oleg A. Mukhanov

Solving the AC optimal power flow problem (AC-OPF) is critical to the efficient and safe planning and operation of power grids. Small efficiency improvements in this domain have the potential to lead to billions of dollars of cost savings,…

Distributed energy systems (DES) have the potential to minimise costly network upgrades while increasing the proportion of renewable energy generation in the electrical grid, when properly designed. In contrast, poorly designed DES can…

Optimization and Control · Mathematics 2022-03-09 Ishanki De Mel , Oleksiy V. Klymenko , Michael Short

With increasing smart grid direct current (DC) deployments in distribution feeders, microgrids, buildings, and high-voltage transmission, there is a need for better understanding the landscape of power flow (PF) solutions as well as for…

Optimization and Control · Mathematics 2019-07-11 Sina Taheri , Vassilis Kekatos

As power systems become more and more interconnected, the inter-area oscillations has become a serious factor limiting large power transfer among different areas. Underdamped (Undamped) inter-area oscillations may cause system breakup and…

Systems and Control · Computer Science 2017-01-10 Jianming Lian , Shaobu Wang , Ruisheng Diao , Zhenyu Huang

A parallel pseudospectral code for the direct numerical simulation (DNS) of isotropic turbulence has been developed. The code has been extensively benchmarked using established results from literature. The code has been used to conduct a…

Fluid Dynamics · Physics 2013-06-17 Samuel R. Yoffe

This paper investigates the effect of FACTS Devices on voltage stability constrained Optimal Power Flow (OPF) formulation where the objective function is to minimize power system load curtailment. Incorporating FACTS Devices affects the…

Optimization and Control · Mathematics 2016-07-28 Barati Masoud , Shayanfar Heidar Ali , Kazemi Ahad

High-fidelity modeling of turbulent flows requires capturing complex spatiotemporal dynamics and multi-scale intermittency, posing a fundamental challenge for traditional knowledge-based systems. While deep generative models, such as…

Machine Learning · Computer Science 2026-04-08 Li Kunpeng , Wan Chenguang , Qu Zhisong , Lim Kyungtak , Virginie Grandgirard , Xavier Garbet , Yu Hua , Ong Yew Soon

Increasing penetration of distributed energy resources complicate operations of electric power distribution systems by amplifying volatility of nodal power injections. On the other hand, these resources can provide additional control means…

Optimization and Control · Mathematics 2018-11-26 Robert Mieth , Yury Dvorkin

A new methodology based on energy flux similarity is suggested in this paper for large eddy simulation (LES) of transitional and turbulent flows. Existing knowledge reveals that the energy cascade generally exists in transitional and…

Fluid Dynamics · Physics 2019-10-31 Han Qi , Xinliang Li , Hao Zhou , Changping Yu

Flow matching (FM) is increasingly used in scientific domains for time series generation and forecasting, where data often arise from underlying dynamical systems. However, it is not well-understood whether it learns transferable dynamical…

Machine Learning · Statistics 2026-05-08 Soon Hoe Lim , Shizheng Lin , Michael W. Mahoney , N. Benjamin Erichson

We study self-regulating processes modeling biological transportation networks. Firstly, we write the formal $L^2$-gradient flow for the symmetric tensor valued diffusivity $D$ of a broad class of entropy dissipations associated with a…

Analysis of PDEs · Mathematics 2024-03-14 Jan Haskovec , Peter Markowich , Simone Portaro

Conventional optimal power flow (OPF) solvers assume full observability of the involved system states. However, in practice, there is a lack of reliable system monitoring devices in the distribution networks. To close the gap between the…

Optimization and Control · Mathematics 2020-03-18 Yi Guo , Xinyang Zhou , Changhong Zhao , Yue Chen , Tyler Summers , Lijun Chen

With a large-scale integration of distributed energy resources (DERs), distribution systems are expected to be capable of providing capacity support for the transmission grid. To effectively harness the collective flexibility from massive…

Systems and Control · Computer Science 2019-06-04 Xin Chen , Emiliano Dall'Anese , Changhong Zhao , Na Li

The DC Power Flow approximation has been widely used for decades in both industry and academia due to its computational speed and simplicity, but suffers from inaccuracy, in part due to the assumption of a lossless network. Here we present…

Optimization and Control · Mathematics 2017-09-21 John W. Simpson-Porco
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