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Power injection uncertainties in distribution power grids, which are mostly induced by aggressive introduction of intermittent renewable sources, may drive the system away from normal operating regimes and potentially lead to the loss of…

Optimization and Control · Mathematics 2018-11-21 Hung D. Nguyen , Krishnamurthy Dvijotham , Suhyoun Yu , Konstantin Turitsyn

We describe a mechanism that results in the nonlinear instability of stationary states even in the case where the stationary states are linearly stable. This instability is due to the nonlinearity-induced coupling of the linearization's…

Pattern Formation and Solitons · Physics 2015-06-03 P. G. Kevrekidis , D. E. Pelinovsky , A. Saxena

Long-term voltage stability assessment (VSA) of independent transmission (T-VSA) and distribution (D-VSA)systems have been studied since long to estimate load margins. However, their impacts on each other have been neglected due to…

Algebraic Geometry · Mathematics 2018-05-30 Ankit Singhal , Venkataramana Ajjarapu

This paper addresses stability issues of DC networks with constant power loads (CPL). Common DC networks, such as automotive electrical systems and DC microgrids, typically have a step-up/down converter connected in one side to the main bus…

Optimization and Control · Mathematics 2015-03-31 Gustavo Cezar , Ram Rajagopal , Baosen Zhang

This paper investigates the stability and stabilization of diffusively coupled network dynamical systems. We leverage Lyapunov methods to analyze the role of coupling in stabilizing or destabilizing network systems. We derive critical…

Dynamical Systems · Mathematics 2025-04-02 Moise R. Mouyebe , Anthony M. Bloch

In this paper, the power response of power electronic loads in case of voltage drops are measured and their dynamics are analysed. Based on this, dynamic simulation models are derived which can be used for voltage stability investigations.…

Systems and Control · Electrical Eng. & Systems 2022-07-11 Sebastian Liemann , Christian Rehtanz

This paper addresses analytical aspects of deterministic, continuous-time dynamical systems defined on networks. The goal is to model and analyze certain phenomena which must be framed beyond the context of networked dynamical systems,…

Dynamical Systems · Mathematics 2015-01-09 Ricardo Riaza

The emergence and evolution of real-world systems have been extensively studied in the last few years. However, equally important phenomena are related to the dynamics of systems' collapse, which has been less explored, especially when they…

Physics and Society · Physics 2019-09-27 Jie Li , Chengyi Xia , Gaoxi Xiao , Yamir Moreno

The large-scale Electric Vehicle (EV) integration into the electricity grid has initiated significant challenges to grid stability issues due to dynamic loadability events. Although electric vehicle impacts on distribution systems are well…

We consider the problem of quantifying and assessing the steady-state voltage stability in radial distribution networks. Our approach to the voltage stability problem is based on a local, approximate, and yet highly accurate…

Optimization and Control · Mathematics 2019-07-05 Liviu Aolaritei , Saverio Bolognani , Florian Dörfler

This paper studies stability analysis of DC microgrids with uncertain constant power loads (CPLs). It is well known that CPLs have negative impedance effects, which may cause instability in a DC microgrid. Existing works often study the…

Optimization and Control · Mathematics 2017-02-27 Jianzhe Liu , Wei Zhang , Giorgio Rizzoni

We compare stability regions for different power flow models in the process of charging electric vehicles (EVs) by considering their random arrivals, their stochastic demand for energy at charging stations, and the characteristics of the…

Optimization and Control · Mathematics 2022-01-20 M. H. M. Christianen , J. Cruise , A. J. E. M. Janssen , S. Shneer , M. Vlasiou , B. Zwart

In this paper we present new (stochastic) passivity properties for Direct Current (DC) power networks, where the unknown and unpredictable load demand is modelled by a stochastic process. More precisely, the considered power network…

Optimization and Control · Mathematics 2020-10-27 Amirreza Silani , Michele Cucuzzella , Jacquelien M. A. Scherpen , Mohammad Javad Yazdanpanah

With the continued deployment of synchronized Phasor Measurement Units (PMUs), high sample rate data are rapidly increasing the real time observability of power systems. Prior research has shown that the statistics of these data can provide…

Systems and Control · Computer Science 2018-05-11 Samuel Chevalier , Paul D. H. Hines

DC grids are prone to small-signal instabilities due to the presence of tightly controlled loads trying to keep the power consumption constant over range of terminal voltage variations. Th, so-called, constant power load (CPL) represents a…

Systems and Control · Computer Science 2018-03-07 Kathleen Cavanagh , Petr Vorobev , Konstantin Turitsyn

DC microgrids are becoming popular as effective means to integrate various renewable energy resources. Constant power loads (CPLs) may yield instability due to the negative impedance characteristic. This paper analyzes the stability of the…

Systems and Control · Computer Science 2018-04-24 Zhangjie Liu , Mei Su , Yao Sun , Hua Han , Xiaochao Hou , Josep M. Guerrero

Load balancing between adjacent base stations (BSs) is important for balancing load distributions and improving service provisioning. Whilst load balancing between any given pair of BSs is beneficial, cascade load sharing can cause network…

Networking and Internet Architecture · Computer Science 2019-02-27 Giannis Moutsinas , Weisi Guo

In real-world networks the interactions between network elements are inherently time-delayed. These time-delays can not only slow the network but can have a destabilizing effect on the network's dynamics leading to poor performance. The…

Optimization and Control · Mathematics 2024-09-23 David Reber , Benjamin Webb

Prior research has shown that autocorrelation and variance in voltage measurements tend to increase as power systems approach instability. This paper seeks to identify the conditions under which these statistical indicators provide reliable…

Physics and Society · Physics 2015-04-23 Goodarz Ghanavati , Paul D. H. Hines , Taras I. Lakoba

We consider the problem of stability analysis for distribution grids with droop-controlled inverters and dynamic distribution power lines. The inverters are modeled as voltage sources with controllable frequency and amplitude. This problem…

Systems and Control · Electrical Eng. & Systems 2020-03-27 Stefanos Baros , Christoforos N. Hadjicostis , Francis O'Sullivan