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As the energy transition transforms power grids across the globe, it poses several challenges regarding grid design and control. In particular, high levels of intermittent renewable generation complicate the task of continuously balancing…

最优化与控制 · 数学 2018-08-07 Randall Martyr , Benjamin Schaefer , Christian Beck , Vito Latora

We investigate the mean-field dynamics of stochastic McKean differential equations with heterogeneous particle interactions described by large network structures. To express a wide range of graphs, from dense to sparse structures, we…

偏微分方程分析 · 数学 2024-09-18 Christian Kuehn , Tobias Wöhrer

The $\mathbf{k \cdot p}$ method is a successful approach to obtain band structure, optical and transport properties of semiconductors, and it depends on external parameters that are obtained either from experiments, tight binding or ab…

We introduce a versatile method to compute electronic steady state properties of strongly correlated extended quantum systems out of equilibrium. The approach is based on dynamical mean-field theory (DMFT), in which the original system is…

强关联电子 · 物理学 2013-03-05 Enrico Arrigoni , Michael Knap , Wolfgang von der Linden

The AC frequency in electrical power systems is conventionally regulated by synchronous machines. The gradual replacement of these machines by asynchronous renewable-based generation, which provides little or no frequency control, increases…

最优化与控制 · 数学 2019-06-13 Richard Pates , Enrique Mallada

This brief paper proposes an uncertainty quantification method for the periodic steady-state (PSS) analysis with both Gaussian and non-Gaussian variations. Our stochastic testing formulation for the PSS problem provides superior efficiency…

计算工程、金融与科学 · 计算机科学 2016-11-18 Zheng Zhang , Tarek A. El-Moselhy , Paolo Maffezzoni , Ibrahim , M. Elfadel , Luca Daniel

In this letter, we perform a sensitivity analysis on the master stability function approach for the synchronization of networks of coupled dynamical systems. More specifically, we analyze the linear stability of a nearly synchronized…

无序系统与神经网络 · 物理学 2015-05-27 Francesco Sorrentino , Maurizio Porfiri

An optimization problem considering AC power flow constraints and integer decision variables can usually be posed as a mixed-integer quadratically constrained quadratic program (MIQCQP) problem. In this paper, first, a set of valid linear…

最优化与控制 · 数学 2015-09-18 Qifeng Li

We propose a framework for the stability verification of Mixed-Integer Linear Programming (MILP) representable control policies. This framework compares a fixed candidate policy, which admits an efficient parameterization and can be…

系统与控制 · 电气工程与系统科学 2023-06-02 Roland Schwan , Colin N. Jones , Daniel Kuhn

Multiphase flow is a critical process in a wide range of applications, including oil and gas recovery, carbon sequestration, and contaminant remediation. Numerical simulation of multiphase flow requires solving of a large, sparse linear…

数值分析 · 数学 2018-03-14 Quan M. Bui , Lu Wang , Daniel Osei-Kuffuor

The selective frequency damping (SFD) method is an alternative to classical Newton's method to obtain unstable steady-state solutions of dynamical systems. However this method has two main limitations: it does not converge for arbitrary…

流体动力学 · 物理学 2015-10-28 Bastien E. Jordi , Colin J. Cotter , Spencer J. Sherwin

Continuous Time Markov Chain (CMTC) is widely used to describe and analyze systems in several knowledge areas. Steady state availability is one important analysis that can be made through Markov chain formalism that allows researchers…

性能 · 计算机科学 2017-01-24 Eduardo M. Vasconcelos

Traffic-responsive signal control is a cost-effective and easy-to-implement network management strategy with high potential in improving performance in congested networks with dynamic characteristics. Max Pressure (MP) distributed…

系统与控制 · 电气工程与系统科学 2023-05-03 Dimitrios Tsitsokas , Anastasios Kouvelas , Nikolas Geroliminis

A fixed-time stable dynamical system for solving the extended vertical linear complementarity problem (EVLCP) is developed. The system is based on the reformulation of EVLCP as a special case of a new kind of generalized absolute value…

数值分析 · 数学 2025-07-29 Yufei Wei , Shiping Lin , Cairong Chen , Dongmei Yu , Deren Han

The rapid rise in inverter-based renewable resources has heightened concerns over subsynchronous resonance and oscillations, thereby challenging grid stability. This paper reviews approaches to identify and mitigate these issues, focusing…

系统与控制 · 电气工程与系统科学 2025-01-16 Shuvangkar Chandra Das , Lokesh Saravana , Le Minh Vu , Manh Bui , Tuyen Vu , Jianhua Zhang , Thomas Ortmeyer

In this paper, a time-periodic MGRIT algorithm is proposed as a means to reduce the time-to-solution of numerical algorithms by exploiting the time periodicity inherent to many applications in science and engineering. The time-periodic…

计算工程、金融与科学 · 计算机科学 2022-01-12 Andreas Hessenthaler , Robert D. Falgout , Jacob B. Schroder , Adelaide de Vecchi , David Nordsletten , Oliver Röhrle

In this paper, we present a robust adaptive model predictive control (MPC) scheme for linear systems subject to parametric uncertainty and additive disturbances. The proposed approach provides a computationally efficient formulation with…

系统与控制 · 电气工程与系统科学 2020-03-12 Johannes Köhler , Elisa Andina , Raffaele Soloperto , Matthias A. Müller , Frank Allgöwer

Power grids sustain modern society by supplying electricity and thus their stability is a crucial factor for our civilization. The dynamic stability of a power grid is usually quantified by the probability of its nodes' recovery to phase…

混沌动力学 · 物理学 2018-11-14 Heetae Kim , Sang Hoon Lee , Jörn Davidsen , Seung-Woo Son

Considerable levels of phase imbalance in low voltage (LV) distribution networks imply that grid assets are suboptimally utilized and can cause additional losses, equipment failure and degradation. With the ongoing energy transition, the…

系统与控制 · 电气工程与系统科学 2025-07-09 Sari Kerckhove , Marta Vanin , Reinhilde D'hulst , Dirk Van Hertem

In this paper, we demonstrate that in many NP-complete variants of the stable matching problem, such as the Stable Hypergraph Matching problem, the Stable Multicommodity Flow problem, and the College Admission problem with common quotas, a…

计算机科学与博弈论 · 计算机科学 2025-02-11 Gergely Csáji