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Efficient solution of 3D elasticity problems is an important part of many industrial and scientific applications. Smoothed aggregation algebraic multigrid using rigid body modes for the tentative prolongation operator construction is an…

Mathematical Software · Computer Science 2022-02-21 Denis Demidov

The deepening of the penetration of renewable energy is challenging how power system operators cope with their associated variability and uncertainty. The inherent flexibility of dispathchable assets present in power systems, which is often…

Optimization and Control · Mathematics 2024-08-19 Mohamed Awadalla , François Bouffard

Future grid management systems will coordinate distributed production and storage resources to manage, in a cost effective fashion, the increased load and variability brought by the electrification of transportation and by a higher share of…

Applications · Statistics 2020-05-21 Christian Capezza , Biagio Palumbo , Yannig Goude , Simon N. Wood , Matteo Fasiolo

This study explores the interaction between aggregators and building occupants in activating flexibility through Demand Response (DR) programs, with a focus on reinforcing the resilience of the energy system considering the uncertainties…

Systems and Control · Electrical Eng. & Systems 2025-01-13 Costas Mylonas , Donata Boric , Leila Luttenberger Maric , Alexandros Tsitsanis , Eleftheria Petrianou , Magda Foti

High-tech equipment critically relies on flexures for precise manipulation and measurement. Through elastic deformation, flexures offer extreme position repeatability within a limited range of motion in their degrees of freedom, while…

Computational Engineering, Finance, and Science · Computer Science 2022-02-25 Stijn Koppen , Matthijs Langelaar , Fred van Keulen

Process flexibility is widely adopted as an effective strategy for responding to uncertain demand. Many algorithms for constructing sparse flexibility designs with good theoretical guarantees have been developed for balanced and symmetrical…

Data Structures and Algorithms · Computer Science 2018-06-11 Xi Chen , Tengyu Ma , Jiawei Zhang , Yuan Zhou

This paper studies the scheduling of a large population of non-preemptive flexible electric loads, each of which has a flexible starting time but once started will follow a fixed load shape until completion. We first formulate the…

Optimization and Control · Mathematics 2025-03-10 Mehdi Davoudi , Mingyu Chen , Junjie Qin

In tolerancing analysis, geometrical or contact specifications can be represented by polytopes. Due to the degrees of invariance of surfaces and that of freedom of joints, these operand polytopes are originally unbounded in most of the…

Computational Geometry · Computer Science 2016-08-01 Santiago Arroyave-Tobón , Denis Teissandier , Vincent Delos

We investigate multi-stage demand uncertainty for the multi-item multi-echelon capacitated lot sizing problem with setup carry-over. Considering a multi-stage decision framework helps to quantify the benefits of being able to adapt…

Optimization and Control · Mathematics 2025-03-28 Manuel Schlenkrich , Jean-François Cordeau , Sophie N. Parragh

Flexible loads are a resource for the Balancing Authority (BA) of the future to aid in the balance of supply and demand in the power grid. Consequently, it is of interest for a BA to know how much flexibility a collection of loads has, so…

Systems and Control · Electrical Eng. & Systems 2020-05-05 Austin R. Coffman , Zhong Guo , Prabir Barooah

We investigate the influence of multiscale aggregation and deposition on the colloidal dynamics in a saturated porous medium. At the pore scale, the aggregation of colloids is modeled by the Smoluchowski equation. Essentially, the colloidal…

Analysis of PDEs · Mathematics 2014-04-17 Oleh Krehel , Adrian Muntean , Peter Knabner

Concise and reliable modeling for aggregating power flexibility of distributed energy resources in active distribution networks (ADNs) is a crucial technique for coordinating transmission and distribution networks. Our recent research has…

Systems and Control · Electrical Eng. & Systems 2023-12-11 Yilin Wen , Zechun Hu , Jinhua He , Yi Guo

Backward reachability analysis is essential to synthesizing controllers that ensure the correctness of closed-loop systems. This paper is concerned with developing scalable algorithms that under-approximate the backward reachable sets, for…

Systems and Control · Electrical Eng. & Systems 2022-08-29 Liren Yang , Hang Zhang , Jean-Baptiste Jeannin , Necmiye Ozay

Large language models have steadily increased in size to achieve improved performance; however, this growth has also led to greater inference time and computational demands. Consequently, there is rising interest in model size reduction…

In this paper, a new multi-hop weighted clustering procedure is proposed for homogeneous Mobile Ad hoc networks. The algorithm generates double star embedded non-overlapping cluster structures, where each cluster is managed by a leader node…

Discrete Mathematics · Computer Science 2011-05-02 T. N. Janakiraman , A. Senthil Thilak

With more renewable energy sources (RES) integrated into the power system, the intermittency of RES places a heavy burden on the system. The uncertainty of RES is traditionally handled by controllable generators to balance the real time…

Systems and Control · Electrical Eng. & Systems 2024-12-25 Tian Liu , Su Wang , Danny H. K. Tsang

Honeycomb-like microstructures have been shown to exhibit local elastic buckling under compression, with three possible geometric buckling modes, or pattern transformations. The individual pattern transformations, and consequently also…

Soft Condensed Matter · Physics 2020-04-14 O. Rokoš , M. M. Ameen , R. H. J. Peerlings , M. G. D. Geers

Flexible load at the demand-side has been regarded as an effective measure to cope with volatile distributed renewable generations. To unlock the demand-side flexibility, this paper proposes a peer-to-peer energy sharing mechanism that…

Optimization and Control · Mathematics 2021-09-09 Yue Chen , Wei Wei , Mingxuan Li , Laijun Chen , João P. S. Catalão

A major challenge to implementing residential demand response is that of aligning the objectives of many households, each of which aims to minimize its payments and maximize its comfort level, while balancing this with the objectives of an…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-11-18 Sleiman Mhanna , Archie Chapman , Gregor Verbic

A novel approach which combines isogeometric collocation and an equilibrium-based stress recovery technique is applied to analyze laminated composite plates. Isogeometric collocation is an appealing strong form alternative to standard…

Numerical Analysis · Mathematics 2024-12-20 Alessia Patton , John-Eric Dufour , Pablo Antolin , Alessandro Reali