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Related papers: Voltage multi-stability in distribution grids with…

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Secure operation of electric power grids fundamentally relies on their dynamical stability properties. For the third order model, a paradigmatic model that captures voltage dynamics, three routes to instability are established in the…

Applied Physics · Physics 2022-04-20 Moritz Thümler , Xiaozhu Zhang , Marc Timme

This paper addresses the distributed frequency control problem in a multi-area power system taking into account of unknown time-varying power imbalance. Particularly, fast controllable loads are utilized to restore system frequency under…

Systems and Control · Computer Science 2018-10-31 Zhaojian Wang , Shengwei Mei , Feng Liu , Steven H. Low , Peng Yang

A voltage regulation method for slow voltage variations at distribution level is proposed, based on a view of the loads, generators and storage along a distribution line as point weights. The "centers of mass" of the absorbed and injected…

Systems and Control · Electrical Eng. & Systems 2021-05-14 Panayiotis Moutis , Pavlos S. Georgilakis , Nikos D. Hatziargyriou

The integration of renewable energy sources in the course of the energy transition is accompanied by grid decentralization and fluctuating power feed-in characteristics. This raises new challenges for power system stability and design. We…

Adaptation and Self-Organizing Systems · Physics 2015-06-16 Katrin Schmietendorf , Joachim Peinke , Rudolf Friedrich , Oliver Kamps

With the gradual transformation of power generation towards renewables, distributed energy resources are becoming more and more relevant for grid stabilization. In order to involve all participants in the joint solution of this challenging…

Optimization and Control · Mathematics 2019-12-18 Lukas Kölsch , Katharina Wieninger , Stefan Krebs , Sören Hohmann

This paper derives distributed conditions that guarantee the system-wide stability for power systems with nonlinear and heterogeneous bus dynamics interconnected via power network. Our conditions require each bus dynamics should satisfy…

Systems and Control · Electrical Eng. & Systems 2019-10-31 Peng Yang , Feng Liu , Zhaojian Wang , Chen Shen

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

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

This two-part paper details a theory of solvability for the power flow equations in lossless power networks. In Part I, we derive a new formulation of the lossless power flow equations, which we term the fixed-point power flow. The model is…

Optimization and Control · Mathematics 2017-09-21 John W. Simpson-Porco

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

Pronounced variability due to the growth of renewable energy sources, flexible loads, and distributed generation is challenging residential distribution systems. This context, motivates well fast, efficient, and robust reactive power…

Systems and Control · Electrical Eng. & Systems 2019-10-31 Qiuling Yang , Alireza Sadeghi , Gang Wang , Georgios B. Giannakis , Jian Sun

We show how distributed control of reactive power can serve to regulate voltage and minimize resistive losses in a distribution circuit that includes a significant level of photovoltaic (PV) generation. To demonstrate the technique, we…

Optimization and Control · Mathematics 2016-11-18 Konstantin Turitsyn , Petr Sulc , Scott Backhaus , Michael Chertkov

The energy mix of future power systems will include high shares of wind power and solar PV. These generation facilities are generally connected via power-electronic inverters. While conventional generation responds dynamically to the state…

Systems and Control · Electrical Eng. & Systems 2023-03-31 Philipp C. Böttcher , Leonardo Rydin Gorjão , Dirk Witthaut

This paper considers the network flow stabilization problem in power systems and adopts an output regulation viewpoint. Building upon the structure of a heterogeneous port-Hamiltonian model, we integrate network aspects and develop a…

Optimization and Control · Mathematics 2018-04-27 Catalin Arghir , Florian Dörfler

A major transition in modern power systems is the replacement of conventional generation units with renewable sources of energy. The latter results in lower rotational inertia which compromises the stability of the power system, as…

Optimization and Control · Mathematics 2025-12-15 Andreas Kasis , Stelios Timotheou , Marios Polycarpou

Reactive power has been proposed as a method of voltage control for distribution networks, providing a means of increasing the amount of energy transferred from distributed generators to the bulk transmission network. The value of reactive…

Optimization and Control · Mathematics 2019-03-12 Matthew Deakin , Thomas Morstyn , Dimitra Apostolopoulou , Malcolm McCulloch

Large scale integration of distributed energy resources and electric vehicles in a transactive energy environment present new challenges in terms of voltage stability and fluctuations in a power distribution system. The impact of different…

Systems and Control · Electrical Eng. & Systems 2021-04-30 Sai Munikoti , Kumarsinh Jhala , Kexing Lai , Balasubramaniam Natarajan

We consider the problem of voltage stability and reactive power balancing in islanded small-scale electrical networks outfitted with DC/AC inverters ("microgrids"). A droop-like voltage feedback controller is proposed which is quadratic in…

Optimization and Control · Mathematics 2017-09-21 John W. Simpson-Porco , Florian Dorfler , Francesco Bullo

We investigate the interplay of rotor-angle and voltage stability in electric power systems. To this end, we carry out a local stability analysis of the third-order model which entails the classical power-swing equations and the voltage…

Adaptation and Self-Organizing Systems · Physics 2018-04-03 Konstantin Sharafutdinov , Leonardo Rydin Gorjão , Moritz Matthiae , Timm Faulwasser , Dirk Witthaut