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We formulate a class of velocity-free finite-particle methods for mass transport problems based on a time-discrete incremental variational principle that combines entropy and the cost of particle transport, as measured by the Wasserstein…

Computational Physics · Physics 2023-05-10 Anna Pandolfi , Laurent Stainier , Michael Ortiz

Understanding the generation mechanism of the heating flux is essential for the design of hypersonic vehicles. We proposed a novel formula to decompose the heat flux coefficient into the contributions of different terms by integrating the…

Fluid Dynamics · Physics 2021-06-22 Dong Sun , Qilong Guo , Xianxu Yuan , Haoyuan Zhang , Chen Li , Pengxin Liu

This work focuses on determining the coefficient of thermal diffusivity in a one-dimensional heat transfer process along a homogeneous and isotropic bar, embedded in a moving fluid with heat generation. A first type (Dirichlet) condition is…

Fluid Dynamics · Physics 2022-01-03 Guillermo Federico Umbricht , Diana Rubio

Thermal energy storage using sensible heating of a solid storage medium is a potential low-cost technology for long-duration energy storage. To effectively get heat in and out of the solid material, channels of heat transfer fluid can be…

Applied Physics · Physics 2024-02-13 Shomik Verma , Colin Kelsall , Kyle Buznitsky , Alina LaPotin , Ashwin Sandeep , Asegun Henry

Many enhanced sampling techniques rely on the identification of a number of collective variables that describe all the slow modes of the system. By constructing a bias potential in this reduced space one is then able to sample efficiently…

Computational Physics · Physics 2019-03-05 Michele Invernizzi , Michele Parrinello

The aggregate flexibility region of distributed energy resources (DERs) quantifies the aggregate power shaping capabilities of DERs. It characterizes the distribution network's potential for wholesale market participation and grid service…

Systems and Control · Electrical Eng. & Systems 2026-05-27 Feixiang Zhang , Hongyi Li , Bai Cui , Zhaoyu Wang

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

Variational inequalities are an important tool, which includes minimization, saddles, games, fixed-point problems. Modern large-scale and computationally expensive practical applications make distributed methods for solving these problems…

Optimization and Control · Mathematics 2023-03-01 Aleksandr Beznosikov , Alexander Gasnikov

We propose a bidding method for the participation of combined heat and power (CHP) units in the day-ahead electricity market. More specifically, we consider a district heating system where heat can be produced by CHP units or heat-only…

Optimization and Control · Mathematics 2022-03-17 Ignacio Blanco , Anders N. Andersen , Daniela Guericke , Henrik Madsen

We propose a second-order temporally implicit, fourth-order-accurate spatial discretization scheme for the strongly anisotropic heat transport equation characteristic of hot, fusion-grade plasmas. Following [Du Toit et al., Comp. Phys.…

Computational Physics · Physics 2024-09-11 L. Chacon , Jason Hamilton , Natalia Krasheninnikova

This letter aims to maximize the average throughput via the joint design of the transmit power and trajectory for unmanned aerial vehicle (UAV)-enabled network. The conventional way to tackle this problem is based on the alternating…

Signal Processing · Electrical Eng. & Systems 2020-03-11 Hongying Tang , Qingqing Wu , Jing Xu , Wen Chen , Baoqing~Li

Nonlinear power flow constraints render a variety of power system optimization problems computationally intractable. Emerging research shows, however, that the nonlinear AC power flow equations can be successfully modeled using Neural…

Machine Learning · Computer Science 2021-11-01 Alyssa Kody , Samuel Chevalier , Spyros Chatzivasileiadis , Daniel Molzahn

Semidefinite programming (SDP) is widely acknowledged as one of the most effective methods for deriving the tightest lower bounds of the optimal power flow (OPF) problems. In this paper, an enhanced semidefinite relaxation model that…

Systems and Control · Electrical Eng. & Systems 2024-10-01 Zhaojun Ruan , Libao Shi

We study the maximum sum rate optimization problem in the multiple-input multiple-output interfering broadcast channel. The multiple-antenna transmitters and receivers are assumed to have perfect channel state information. In this setting,…

Information Theory · Computer Science 2015-07-07 Rami Mochaourab , Mats Bengtsson

This paper exploits the decomposition structure of the large-scale hydrothermal generation expansion planning problem with an integrated modified Benders Decomposition and Progressive Hedging approach. We consider detailed and realistic…

Optimization and Control · Mathematics 2022-12-21 Alessandro Soares , Alexandre Street , Tiago Andrade , Joaquim Dias Garcia

This paper presents a chance constrained information gap decision model for multi-period microgrid expansion planning (MMEP) considering two categories of uncertainties, namely random and non-random uncertainties. The main task of MMEP is…

Optimization and Control · Mathematics 2017-08-25 Xiaoyu Cao , Jianxue Wang , Bo Zeng

Algorithms based on the particle flow approach are becoming increasingly utilized in collider experiments due to their superior jet energy and missing energy resolution compared to the traditional calorimeter-based measurements. Such…

High Energy Physics - Experiment · Physics 2015-03-20 Andrey Elagin , Pavel Murat , Alexandre Pranko , Alexei Safonov

We formulate a finite-particle method of mass transport that accounts for general mixed boundary conditions. The particle method couples a geometrically-exact treatment of advection; Wasserstein gradient-flow dynamics; and a…

Numerical Analysis · Mathematics 2025-03-05 Anna Pandolfi , Ignacio Romero , Michael Ortiz

In this paper, we discuss our approach and algorithmic framework for solving large-scale security constrained optimal power flow (SCOPF) problems. SCOPF is a mixed integer non-convex optimization problem that aims to obtain the minimum…

Optimization and Control · Mathematics 2020-06-02 Mohammadhafez Bazrafshan , Kyri Baker , Javad Mohammadi

The alternating-current unit commitment problem provides a realistic representation of power system operations, which is a nonconvex mixed-integer nonlinear programming problem and hence is computationally intractable. A common relaxation…

Optimization and Control · Mathematics 2026-04-07 Yongzheng Dai