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This paper proposes a Clustered Unit Commitment (CUC) formulation to accurately model flexibility requirements such as ramping, reserve, and startup/shutdown constraints. The CUC is commonly applied in large and long-term planning models to…

Optimization and Control · Mathematics 2019-06-21 German Morales-Espana , Diego A. Tejada-Arango

Future greenhouse gas neutral energy systems will be dominated by renewable energy technologies providing variable supply subject to uncertain weather conditions. For this setting, we propose an algorithm for capacity expansion planning: We…

Optimization and Control · Mathematics 2026-03-02 Sebastian Kebrich , Felix Engelhardt , David Franzmann , Christina Büsing , Jochen Linßen , Heidi Heinrichs

The increasing penetration of volatile renewables combined with increasing demands poses a challenge to modern power grids. Furthermore, distributed energy resources and flexible devices (electric vehicles, PV generation, ...) are becoming…

Optimization and Control · Mathematics 2024-04-01 Emrah Öztürk , Kevin Kaspar , Timm Faulwasser , Karl Worthmann , Peter Kepplinger , Klaus Rheinberger

Due to their slow gas flow dynamics, natural gas pipelines function as short-term storage, the so-called linepack. By efficiently utilizing linepack, the natural gas system can provide flexibility to the power system through the flexible…

Systems and Control · Electrical Eng. & Systems 2024-11-22 Enrica Raheli , Yannick Werner , Jalal Kazempour

Via event-driven molecular dynamics simulations we study kinetics of clustering in assemblies of inelastic particles in various space dimensions. We consider two models, viz., the ballistic aggregation model (BAM) and the freely cooling…

Statistical Mechanics · Physics 2018-04-04 Subhajit Paul , Subir K. Das

We present Direct Numerical Simulation (DNS) of heavy inertial particles (dust) immersed in two-dimensional turbulent flow (gas). The dust are modeled as mono-dispersed heavy particles capable of modifying the flow through two-way coupling.…

Fluid Dynamics · Physics 2019-07-31 Vikash Pandey , Dhrubaditya Mitra , Prasad Perlekar

Power distribution networks are increasingly hosting controllable and flexible distributed energy resources (DERs) that, when aggregated, can provide ancillary support to transmission systems. However, existing aggregation schemes often…

Systems and Control · Electrical Eng. & Systems 2026-01-22 Hyeongon Park , Daniel K. Molzahn , Rahul K. Gupta

This paper addresses the question: how many distributed energy resources (DERs) are needed to provide $\pm1$MW of flexibility over a number of hours? For this purpose, a metric based on an ISO's own performance score is proposed. Then, a…

Systems and Control · Electrical Eng. & Systems 2020-12-23 Adil Khurram , Luis A. Duffaut Espinosa , Mads Almassalkhi

The rapid growth of data centres poses an evolving challenge for power systems with high variable renewable energy. Traditionally operated as passive electrical loads, data centres, have the potential to become active participants that…

Systems and Control · Electrical Eng. & Systems 2025-11-11 Mehmet Turker Takci , James Day , Meysam Qadrdan

Flexibility requirements are becoming more relevant in power system planning due to the integration of variable Renewable Energy Sources (vRES). In order to consider these requirements Generation Expansion Planning (GEP) models have…

Optimization and Control · Mathematics 2019-02-22 Diego A. Tejada-Arango , Germán Morales-España , Sonja Wogrin , Efraim Centeno

The rapid growth of data centers increasingly requires data center operators to "bring own generation" to complement the available utility power plants to supply all or part of data center load. This practice sharply increases the number of…

Optimization and Control · Mathematics 2026-02-04 Shaked Regev , Eve Tsybina , Slaven Peles

Capacity expansion models used for policy support have increasingly represented both the variability and uncertainty of weather-dependent generation (wind and solar). However, although also uncertain, as demonstrated by the performance of…

Optimization and Control · Mathematics 2025-04-14 Kamran Forghani , Xiaoming Kan , Lina Reichenberg , Fredrik Hedenus

Model-based clustering is a powerful tool that is often used to discover hidden structure in data by grouping observational units that exhibit similar response values. Recently, clustering methods have been developed that permit…

Methodology · Statistics 2025-06-24 Sally Paganin , Garritt L. Page , Fernando Andrés Quintana

Three-dimensional molecular dynamics simulations of dissipative particles (~ 10^6) are carried out for studying the clustering kinetics of granular media during cooling. The inter-connected high particle density regions are identified,…

Materials Science · Physics 2007-05-23 Shiyi Chen , Yuefan Deng , Xiaobo Nie , Yuhai Tu

We investigate the inhomogeneous unitary Fermi gas and use the long-wavelength properties to predict the energies of small clusters of unitary fermions trapped in harmonic potentials. The large pairing gap and scale invariance place severe…

Quantum Gases · Physics 2015-06-22 J. Carlson , S. Gandolfi

As the installation of electronically interconnected renewable energy resources grows rapidly in power systems, system frequency maintenance and control become challenging problems to maintain the system reliability in bulk power systems.…

Optimization and Control · Mathematics 2020-06-09 Lei Fan , Chaoyue Zhao , Guangyuan Zhang , Qiuhua Huang

A rapid expansion of system flexibility is essential to integrate increasing shares of renewable energy into future energy systems. However, flexibility needs and technology-specific contributions to flexibility remain poorly quantified in…

Physics and Society · Physics 2026-04-02 Julian Geis , Michael Lindner , Tom Brown

Accurate pipe roughness estimation in large-scale water distribution networks is often hindered by the high cost of traditional field methods. This study investigates whether network partitioning, by utilizing hydraulic and graph-derived…

Computational Engineering, Finance, and Science · Computer Science 2026-04-28 Karol Dykiert , Mateusz Stolarski , Michał Czuba , Wojciech Cieżak , Piotr Bródka

Dynamic model reduction in power systems is necessary for improving computational efficiency. Traditional model reduction using linearized models or online analysis is not adequate to capture dynamic behaviors of the power system,…

There have been assertions in the literature that the variational and unitary forms of coupled cluster theory lead to the same energy functional. Numerical evidence from previous authors was inconsistent with this claim, yet the small…

Strongly Correlated Electrons · Physics 2020-05-14 Gaurav Harsha , Toru Shiozaki , Gustavo E. Scuseria
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