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In this article, we consider transport networks with uncertain demands. Network dynamics are given by linear hyperbolic partial differential equations and suitable coupling conditions, while demands are incorporated as solutions to…

最优化与控制 · 数学 2022-08-16 Simone Göttlich , Thomas Schillinger

Motivated by a wide variety of applications, this paper introduces a general class of networks of stochastic loss systems in which congestion renders lost revenue due to customers or jobs being permanently removed from the system. We seek…

网络与互联网体系结构 · 计算机科学 2022-05-12 Brendan Patch , Mark S. Squillante , Peter M. Van de Ven

We introduce a stochastic model that describes the quasi-static dynamics of an electric transmission network under perturbations introduced by random load fluctuations, random removing of system components from service, random repair times…

物理与社会 · 物理学 2007-05-23 Marian Anghel , Kenneth A. Werley , Adilson E. Motter

We consider a distribution grid used to charge electric vehicles such that voltage drops stay bounded. We model this as a class of resource-sharing networks, known as bandwidth-sharing networks in the communication network literature. We…

最优化与控制 · 数学 2019-01-17 Angelos Aveklouris , Maria Vlasiou , Bert Zwart

We propose an optimization framework for stochastic optimal power flow with uncertain loads and renewable generator capacity. Our model follows previous work in assuming that generator outputs respond to load imbalances according to an…

最优化与控制 · 数学 2019-10-11 Rohit Kannan , James R. Luedtke , Line A. Roald

We study network design problems for nonlinear and nonconvex flow models without controllable elements under load scenario uncertainties, i.e., under uncertain injections and withdrawals. To this end, we apply the concept of adjustable…

最优化与控制 · 数学 2025-01-20 Johannes Thürauf , Julia Grübel , Martin Schmidt

We study a stochastic network that consists of a set of servers processing multiple classes of jobs. Each class of jobs requires a concurrent occupancy of several servers while being processed, and each server is shared among the job…

最优化与控制 · 数学 2007-05-23 Heng-Qing Ye , David D. Yao

Maximizing robustness and minimizing cost are common objectives in the design of infrastructure networks. However, most infrastructure networks evolve and operate in a highly decentralized fashion, which may significantly impact the…

物理与社会 · 物理学 2008-05-29 Dong-Hee Kim , Adilson E. Motter

We present a stochastic optimal control problem for a tree network. The dynamics of the network are governed by transport equations with a special emphasis on the non-linear damping function. Demand profiles at the network sinks are…

最优化与控制 · 数学 2022-02-11 Simone Göttlich , Thomas Schillinger

In this paper, we study the problem of optimizing the size and mix of a mixed fleet of electric and conventional vehicles owned by firms providing urban freight logistics services. Uncertain customer requests are considered at the strategic…

最优化与控制 · 数学 2020-09-03 Satya S. Malladi , Jonas M. Christensen , David Ramrez , Allan Larsen , Dario Pacino

We propose stochastic control policies to cope with uncertain and variable gas extractions in natural gas networks. Given historical gas extraction data, these policies are optimized to produce the real-time control inputs for nodal gas…

最优化与控制 · 数学 2021-08-24 Vladimir Dvorkin , Anubhav Ratha , Pierre Pinson , Jalal Kazempour

Introduction of renewable generation leads to significant reduction of inertia in power system, which deteriorates the quality of frequency control. This paper suggests a new control scheme utilizing controllable load to deal with low…

系统与控制 · 计算机科学 2018-11-30 Oleg O. Khamisov , Janusz W. Bialek , Anatoly Dymarsky

Shifting our electricity generation from fossil fuel to renewable energy sources introduces large fluctuations to the power system. Here, we demonstrate how increased fluctuations, reduced damping and reduced intertia may undermine the…

适应与自组织系统 · 物理学 2017-06-14 Benjamin Schäfer , Moritz Matthiae , Xiaozhu Zhang , Martin Rohden , Marc Timme , Dirk Witthaut

Motivated by the increasing need to hedge against load and generation uncertainty in the operation of power grids, we propose flexibility maximization during operation. We consider flexibility explicitly as the amount of uncertainty that…

最优化与控制 · 数学 2025-01-27 Aron Zingler , Stephane Fliscounakis , Patrick Panciatici , Alexander Mitsos

We analyze transport on a graph with multiple constraints and where the weight of the edges connecting the nodes is a dynamical variable. The network dynamics results from the interplay between a nonlinear function of the flow, dissipation,…

统计力学 · 物理学 2023-11-28 Frederic Folz , Kurt Mehlhorn , Giovanna Morigi

Given the complexity of power systems, particularly the high-dimensional variability of net loads, accurately depicting the entire operational range of net loads poses a challenge. To address this, recent methodologies have sought to gauge…

最优化与控制 · 数学 2024-07-23 Xinyi Zhao , Lei Fan , Fei Ding , Weijia Liu , Chaoyue Zhao

The integration of intermittent and stochastic renewable energy resources requires increased flexibility in the operation of the electric grid. Storage, broadly speaking, provides the flexibility of shifting energy over time; network, on…

最优化与控制 · 数学 2014-11-05 Junjie Qin , Yinlam Chow , Jiyan Yang , Ram Rajagopal

Flexible loads, i.e. the loads whose power trajectory is not bound to a specific one, constitute a sizable portion of current and future electric demand. This flexibility can be used to improve the performance of the grid, should the right…

最优化与控制 · 数学 2014-07-08 Mahdi Kefayati , Ross Baldick

Ensuring the frequency stability of electric grids with increasing renewable resources is a key problem in power system operations. In recent years, a number of advanced controllers have been designed to optimize frequency control. These…

系统与控制 · 电气工程与系统科学 2023-05-23 Wenqi Cui , Guanya Shi , Yuanyuan Shi , Baosen Zhang

Transport networks are crucial to the functioning of natural and technological systems. Nature features transport networks that are adaptive over a vast range of parameters, thus providing an impressive level of robustness in supply.…

适应与自组织系统 · 物理学 2017-11-28 Erik Andreas Martens , Konstantin Klemm
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