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We consider a linear feeder connecting multiple distributed loads and generators to the sub-station. Voltage is controlled directly at the sub-station, however, voltage down the line shifts up or down, in particular depending on if the…

Optimization and Control · Mathematics 2016-11-15 Danhua Wang , Konstantin Turitsyn , Michael Chertkov

Voltage collapse is a type of blackout-inducing dynamic instability that occurs when power demand exceeds the maximum power that can be transferred through a network. The traditional (preventive) approach to avoid voltage collapse is based…

Systems and Control · Electrical Eng. & Systems 2021-04-20 Charalampos Avraam , Enrique Mallada

In this paper, we consider a power distribution system consisting of a straight feeder line. A nonlinear ordinary differential equation (ODE) model is used to describe the voltage distribution profile over the feeder line. At first, we show…

Systems and Control · Electrical Eng. & Systems 2022-12-21 Chiaki Kojima , Yuya Muto , Yoshihiko Susuki

Voltage collapse is a type of blackout-inducing dynamic instability that occurs when the power demand exceeds the maximum power that can be transferred through the network. The traditional (preventive) approach to avoid voltage collapse is…

Systems and Control · Computer Science 2018-10-29 Charalampos Avraam , Jesse Rines , Aurik Sarker , Fernando Paganini , Enrique Mallada

This paper presents an investigation into load dynamics that potentially cause voltage instability or collapse in distribution networks. Through phasor-based, time domain simulations of a dynamic load (DL) model from the literature, we show…

Systems and Control · Electrical Eng. & Systems 2021-08-06 Ruth Kravis , Ian Petersen , Elizabeth Ratnam

We analyze the dynamics of a distribution circuit loaded with many induction motor and subjected to sudden changes in voltage at the beginning of the circuit. As opposed to earlier work \cite{13DCB}, the motors are disordered, i.e. the…

Physics and Society · Physics 2015-03-05 Irina Stolbova , Scott Backhaus , Michael Chertkov

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…

Chaotic Dynamics · Physics 2014-07-09 Hung D. Nguyen , Konstantin Turitsyn

We consider the problem of controlling the voltage of a distribution feeder using the reactive power capabilities of inverters. On a real distribution grid, we compare the local Volt/VAr droop control recommended in recent grid codes, a…

Systems and Control · Electrical Eng. & Systems 2022-07-22 Lukas Ortmann , Adrian Hauswirth , Ivo Caduff , Florian Dörfler , Saverio Bolognani

This paper investigates voltage stability in inverter-based power systems concerning fold and saddle-node bifurcations. An analytical expression is derived for the sensitivity of the stability margin using the normal vector to the…

Systems and Control · Electrical Eng. & Systems 2025-11-10 Sushobhan Chatterjee , Sijia Geng

Optimal Power Flow (OPF) is an important tool used to coordinate assets in electric power systems to ensure customer voltages are within pre-defined tolerances and to improve distribution system operations. While convex relaxations of…

Optimization and Control · Mathematics 2016-11-18 Michael D. Sankur , Roel Dobbe , Emma Stewart , Duncan S. Callaway , Daniel B. Arnold

High levels of penetration of distributed generation and aggressive reactive power compensation may result in the reversal of power flows in future distribution grids. The voltage stability of these operating conditions may be very…

Dynamical Systems · Mathematics 2015-04-15 Hung D. Nguyen , Konstantin Turitsyn

With the rising demand for solar energy installation, there is a pressing need for utilities to regulate the voltages at the distribution level. In grids with high penetration of photovoltaic (PV) systems, voltage fluctuations can occur at…

Systems and Control · Computer Science 2016-12-08 Katherine Hughes

In distribution systems, power injection variability due to growing penetrations of distributed energy resources (DERs) and dispatchable loads can lead to power quality issues such as severe voltage unbalance. To ensure the safe operation…

Optimization and Control · Mathematics 2019-12-05 Bowen Li , Bai Cui , Feng Qiu , Daniel K. Molzahn

The problem of optimal control of power distribution systems is becoming increasingly compelling due to the progressive penetration of distributed energy resources in this specific layer of the electrical infrastructure. Distribution…

Systems and Control · Computer Science 2016-11-17 Konstantina Christakou , Jean-Yves Le Boudec , Mario Paolone , Dan-Cristian Tomozei

Transport through molecular contacts with a sluggish intramolecular vibrational mode strongly coupled to excess charges is studied far from equilibrium. A Born-Oppenheimer approximation in steady state reveals voltage dependent energy…

Mesoscale and Nanoscale Physics · Physics 2012-06-27 Lars Kecke , Joachim Ankerhold

Voltage instability is one of the main causes of power system blackouts. Emerging technologies such as renewable energy integration, distributed energy resources and demand responses may introduce significant uncertainties in analyzing of…

Systems and Control · Electrical Eng. & Systems 2020-06-17 Dan Wu , Franz-Erich Wolter , Bin Wang , Le Xie

Power systems are currently undergoing a rapid paradigm change in their operation. Centralised energy production is being replaced by a number of Distributed Generation (DG) units that are placed at different locations and voltage levels in…

Systems and Control · Electrical Eng. & Systems 2025-04-28 Dionysios Moutevelis

The increasing amount of controllable generation and consumption in distribution grids poses a severe challenge in keeping voltage values within admissible ranges. Existing approaches have considered different optimal power flow…

Systems and Control · Electrical Eng. & Systems 2019-07-25 Miguel Picallo , Adolfo Anta , Bart De Schutter

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)…

Systems and Control · Electrical Eng. & Systems 2022-08-22 Guido Cavraro , Zhenyi Yuan , Manish K. Singh , Jorge Cortés

The way in which electric power depends on the topology of circuits with mixed voltage and current sources is examined. The power flowing in any steady-state DC circuit is shown to depend on a minimal set of key variables called fundamental…

Systems and Control · Computer Science 2017-09-25 Shuai Wang , John Baillieul
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