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The rapid increase in the integration of intermittent and stochastic renewable energy resources (RER) introduces challenging issues related to power system stability. Interestingly, identifying grid nodes that can best support stochastic…

系统与控制 · 电气工程与系统科学 2025-02-04 Mohamad Kazma , Ahmad F. Taha

A thermodynamically consistent phase-field model is introduced for simulating motion and shape transformation of vesicles under flow conditions. In particular, a general slip boundary condition is used to describe the interaction between…

数值分析 · 数学 2020-12-11 Lingyue Shen , Zhiliang Xu , Ping Lin , Huaxiong Huang , Shixin Xu

Alternating-Current Optimal Power Flow (AC-OPF) is an optimization problem critical for planning and operating the power grid. The problem is traditionally formulated using only continuous variables. Typically, control devices with…

最优化与控制 · 数学 2021-10-15 Timothy McNamara , Amritanshu Pandey , Aayushya Agarwal , Larry Pileggi

The strong growth of renewable energy sources and the high volatility in power generation of these sources, as well as the increasing amount of volatile energy consumption is leading to major challenges in the electrical grid. In order to…

信号处理 · 电气工程与系统科学 2020-09-28 Katharina Brauns , Christoph Scholz , Andre Baier , Dominik Jost

The problems of numerical modeling of viscous incompressible fluid flows are widely considered in computational fluid dynamics. Stationary solutions of boundary value problems for the Navier-Stokes equations exist at large Reynolds numbers,…

数值分析 · 数学 2024-10-30 D. V. Lomasov , P. N. Vabishchevich

A numerical framework for rigorous linear stability analysis of two-phase stratified flows of two immiscible fluids in horizontal circular pipes is presented. For the first time, three-dimensional disturbances, including those at the…

流体动力学 · 物理学 2023-07-17 Ilya Barmak , Alexander Gelfgat , Neima Brauner

This paper proposes a robust transient stability constrained optimal power flow problem that addresses renewable uncertainties by the coordination of generation re-dispatch and power flow router (PFR) tuning.PFR refers to a general type of…

系统与控制 · 电气工程与系统科学 2020-06-02 Tianlun Chen , Albert Y. S. Lam , Yue Song , David J. Hill

The power flow equations are at the core of most of the computations for designing and operating electric power systems. The power flow equations are a system of multivariate nonlinear equations which relate the power injections and…

最优化与控制 · 数学 2016-11-17 Dhagash Mehta , Daniel K Molzahn , Konstantin Turitsyn

This paper considers the problem of voltage regulation in distribution networks. The primary motivation is to keep voltages within preassigned operating limits by commanding the reactive power output of distributed energy resources (DERs)…

系统与控制 · 电气工程与系统科学 2022-08-22 Guido Cavraro , Zhenyi Yuan , Manish K. Singh , Jorge Cortés

Electrical signaling via voltage-gated ion channels depends upon the function of the voltage sensor (VS), identified with the S1-S4 domain of voltage-gated K channels. Here we investigate some physical aspects of the sliding-helix model of…

生物大分子 · 定量生物学 2015-03-13 Alexander Peyser , Wolfgang Nonner

Optimal power flow (OPF) is an important tool for Independent System Operators (ISOs) to deal with the power generation management. With the increasing penetration of renewable energy into power grids, challenges arise in tackling the OPF…

最优化与控制 · 数学 2023-06-27 Jia Yang , Jun Song , Chaoyue Zhao

The existence and dynamical role of particular unstable Navier-Stokes solutions (exact coherent structures) is revealed in laboratory studies of weak turbulence in a thin, electromagnetically-driven fluid layer. We find that the dynamics…

混沌动力学 · 物理学 2018-08-01 Balachandra Suri , Jeffrey Tithof , Roman O. Grigoriev , Michael F. Schatz

We present a novel technique by which highly-segmented electrostatic configurations can be solved. The Robin Hood method is a matrix-inversion algorithm optimized for solving high density boundary element method (BEM) problems. We…

计算物理 · 物理学 2011-11-23 J. A. Formaggio , P. Lazic , T. J. Corona , H. Stefancic , H. Abraham , F. Gluck

Growing penetration of renewable generation in power systems brings more challenges in transient stability assessment using direct methods. One of the reasons is the inability to assess the risk of instability brought by tripping of a large…

系统与控制 · 电气工程与系统科学 2020-02-05 Chen Wang , Chetan Mishra , Virgilio A. Centeno

This paper develops validated computational methods for studying infinite dimensional stable manifolds at equilibrium solutions of parabolic PDEs, synthesizing disparate errors resulting from numerical approximation. To construct our…

动力系统 · 数学 2021-07-08 Jan Bouwe van den Berg , Jonathan Jaquette , J. D. Mireles James

Multiscale and multiphysics problems need novel numerical methods in order for them to be solved correctly and predictively. To that end, we develop a wavelet based technique to solve a coupled system of nonlinear partial differential…

数值分析 · 数学 2023-03-22 Cale Harnish , Luke Dalessandro , Karel Matous , Daniel Livescu

Reasonably large perturbations may push a power grid from its stable synchronous state into an undesirable state. Identifying vulnerabilities in power grids by studying power grid stability against such perturbations can aid in preventing…

适应与自组织系统 · 物理学 2025-08-26 Calvin Alvares , Soumitro Banerjee

In modern power systems, the operating point, at which the demand and supply are balanced, may take different values due to changes in loads and renewable generation levels. Understanding the dynamics of stressed power systems with a range…

系统与控制 · 计算机科学 2017-10-31 Thanh Long Vu , Hung Dinh Nguyen , Alexandre Megretski , Jean-Jacques Slotine , Konstantin Turitsyn

High levels of penetration of distributed generation and aggressive reactive power compensation with modern power electronics may result in the reversal of active and reactive power flows in future distribution grids. The voltage stability…

混沌动力学 · 物理学 2014-07-09 Hung D. Nguyen , Konstantin Turitsyn

This paper proposes a linear approximation of the alternating current optimal power flow problem for multiphase distribution networks with voltage-dependent loads connected in both wye and delta configurations. We establish a set of linear…

最优化与控制 · 数学 2024-04-11 Geunyeong Byeon , Minseok Ryu , Kibaek Kim