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Distribution grid is the medium and low voltage part of a large power system. Structurally, the majority of distribution networks operate radially, such that energized lines form a collection of trees, i.e. forest, with a substation being…

系统与控制 · 计算机科学 2018-07-12 Deepjyoti Deka , Michael Chertkov , Scott Backhaus

Random fields are mathematical structures used to model the spatial interaction of random variables along time, with applications ranging from statistical physics and thermodynamics to system's biology and the simulation of complex systems.…

信息论 · 计算机科学 2021-11-09 Alexandre L. M. Levada

This paper proposes a new optimization model and solution method for determining optimal locations and sizing of renewable energy sources and hydrogen storage in a power network. We obtain these strategic decisions based on the multi-period…

最优化与控制 · 数学 2022-07-25 Sezen Ece Kayacık , Albert H. Schrotenboer , Evrim Ursavas , Iris F. A. Vis

This manuscript presents novel techniques for identifying the switch states, phase identification, and estimation of equipment parameters in multi-phase low voltage electrical grids, which is a major challenge in long-standing German low…

系统与控制 · 电气工程与系统科学 2023-08-21 Steven de Jongh , Felicitas Mueller , Fabian Osterberg , Claudio A. Cañizares , Thomas Leibfried , Kankar Bhattacharya

In [2] we introduced a method combining together an observability inequality and a spectral decomposition to get a logarithmic stability estimate for the inverse problem of determining both the potential and the damping coefficient in a…

偏微分方程分析 · 数学 2015-05-28 Kais Ammari , Mourad Choulli

This paper proposes an online steady-state voltage stability assessment scheme to evaluate the proximity to voltage collapse at each bus of a load area. Using a non-iterative holomorphic embedding method (HEM) with a proposed physical germ…

计算工程、金融与科学 · 计算机科学 2017-06-22 Chengxi Liu , Bin Wang , Fengkai Hu , Kai Sun , Claus Leth Bak

Global dynamics in nonlinear stochastic systems is often difficult to analyze rigorously. Yet, many excellent numerical methods exist to approximate these systems. In this work, we propose a method to bridge the gap between computation and…

动力系统 · 数学 2019-01-07 Maxime Breden , Christian Kuehn

This work is devoted to study the dynamics of the supercritical gKDV equations near solitary waves in the energy space $H^1$. We construct smooth local center-stable, center-unstable and center manifolds near the manifold of solitary waves…

偏微分方程分析 · 数学 2018-04-23 Jiayin Jin , Zhiwu Lin , Chongchun Zeng

As the amount of volatile, renewable energy sources in power distribution grids is increasing, the stability of the latter is a vital aspect for grid operators. Within the STABEEL project, the authors develop rules on how to parametrize the…

系统与控制 · 电气工程与系统科学 2022-10-03 Sebastian Krahmer , Stefan Ecklebe , Peter Schegner , Klaus Röbenack

The application of variational principles for analyzing problems in the physical sciences is widespread. Cantilever-like problems, where one end is fixed and the other end is free, have received less attention in terms of their stability…

软凝聚态物质 · 物理学 2025-05-01 Siva Prasad Chakri Dhanakoti

The most common method to measure direct current high voltage (HV) down to the ppm-level is to use resistive high-voltage dividers. Such devices scale the HV into a range where it can be compared with precision digital voltmeters to…

仪器与探测器 · 物理学 2019-07-24 O. Rest , D. Winzen , S. Bauer , R. Berendes , J. Meisner , T. Thümmler , S. Wüstling , C. Weinheimer

Graphical models are a succinct way to represent the structure in probability distributions. This article analyzes the graphical model of nodal voltages in non-radial power distribution grids. Using algebraic and structural properties of…

系统与控制 · 计算机科学 2020-02-28 Deepjyoti Deka , Saurav Talukdar , Michael Chertkov , Murti Salapaka

In this work, we propose a fully discrete energy stable scheme for the phase-field moving contact line model with variable densities and viscosities. The mathematical model consists of a Cahn-Hilliard equation, a Navier-Stokes equation and…

计算物理 · 物理学 2020-03-05 Guangpu Zhu , Huangxin Chen , Aifen Li , Shuyu Sun , Jun Yao

This paper proposes a framework for fairly curtailing photovoltaic (PV) plants in response to the over-voltage problem in PV-rich distribution networks. The framework imposes PV generation limits to avoid overvoltages. These limits are…

系统与控制 · 电气工程与系统科学 2024-01-17 Rahul K. Gupta , Paprapee Buason , Daniel K. Molzahn

This paper proposes a transient stability-driven planning framework for the optimal sizing problem of resilient AC/DC hybrid microgrids (HMGs) under different types of contingencies, capturing frequency and voltage stability requirements as…

系统与控制 · 电气工程与系统科学 2025-07-24 Yi Wang , Goran Strbac

In this paper, the impact of stochastic load and renewable generation uncertainty on the dynamic voltage stability margin is studied. Stochastic trajectories describing the uncertainty of load, wind and solar generation have been…

系统与控制 · 电气工程与系统科学 2019-06-21 Georgia Pierrou , Xiaozhe Wang

One method for computationally determining phase boundaries is to explicitly simulate a direct coexistence between the two phases of interest. Although this approach works very well for fluid-fluid coexistences, it is often considered to be…

软凝聚态物质 · 物理学 2025-04-24 Frank Smallenburg , Giovanni Del Monte , Marjolein de Jager , Laura Filion

Uncertainty from renewable energy and loads is one of the major challenges for stable grid operation. Various approaches have been explored to remedy these uncertainties. In this paper, we design centralized or decentralized state-feedback…

系统与控制 · 计算机科学 2019-07-17 Ahmad F. Taha , Mohammadhafez Bazrafshan , Sebastian Nugroho , Nikolaos Gatsis , Junjian Qi

In this work, the electrohydrodynamic (EHD) instability induced by a unipolar charge injection is extended from a single-phase dielectric liquid to a two-phase system that consists of a liquid-air interface. A volume of fluid (VOF) model…

流体动力学 · 物理学 2022-01-05 Qiang Liu , Alberto T. Pérez , R. Deepak Selvakumar , Pengfei Yang , Jian Wu

High penetration of renewable generation poses great challenge to power system operation due to its uncertain nature. In droop-controlled microgrids, the voltage volatility induced by renewable uncertainties is aggravated by the high droop…

系统与控制 · 电气工程与系统科学 2020-11-02 Tianlun Chen , David J. Hill , Yue Song , Albert Y. S. Lam