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The energy transition is causing many stability-related challenges for power systems. Transient stability refers to the ability of a power grid's bus angles to retain synchronism after the occurrence of a major fault. In this paper a…

Optimization and Control · Mathematics 2021-01-12 Tim Aschenbruck , Willem Esterhuizen , Stefan Streif

A novel numerical method for solving inverse scattering problem with fixed-energy data is proposed. The method contains a new important concept: the stability index of the inversion problem. This is a number, computed from the data, which…

Mathematical Physics · Physics 2007-05-23 S. Gutman , A. G. Ramm , W. Scheid

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

Traditionally, power system's inertia has been estimated according to the rotating masses directly connected to the grid. However, a new generation mix scenario is currently identified, where conventional supply-side is gradually replaced…

Systems and Control · Electrical Eng. & Systems 2020-11-04 Ana Fernández-Guillamón , Emilio Gómez-Lázaro , Angel Molina-García

Conventional power system optimization framework is becoming less reliable and efficient due to the stability issues brought by the ever-increasing inverter-interfaced renewable penetration. To ensure system stability during system…

Systems and Control · Electrical Eng. & Systems 2026-05-26 Zhongda Chu , Fei Teng

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

Traditionally, inertia in power systems has been determined by considering all the rotating masses directly connected to the grid. During the last decade, the integration of renewable energy sources, mainly photovoltaic installations and…

Systems and Control · Electrical Eng. & Systems 2020-05-06 Ana Fernández-Guillamón , Emilio Gómez-Lázaro , Eduard Muljadi , Angel Molina-García

Voltage instability is a major threat in power system operation. The growing presence of constant power loads significantly aggravates this issue, hence motivating the development of new analysis methods for both existence and stability of…

Systems and Control · Computer Science 2018-09-24 Alexey S. Matveev , Juan E. Machado , Romeo Ortega , Johannes Schiffer , Anton Pyrkin

Power systems with a high penetration of renewable generation are vulnerable to frequency oscillation and voltage instability. Traditionally, the stability of power systems is considered either in terms of local stability or as an angle…

Systems and Control · Electrical Eng. & Systems 2025-07-31 Xinyuan Jiang , Constantino M. Lagoa , Daning Huang , Yan Li

With the rapid growth of power market reform and power demand, the power transmission capacity of a power grid is approaching its limit, and the secure and stable operation of power systems becomes increasingly important. In particular, in…

Systems and Control · Electrical Eng. & Systems 2022-01-19 Jiting Cao , Meng Zhang , Yang Li

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

Power systems are getting more complex than ever and are consequently operating close to their limit of stability. Moreover, with the increasing demand of renewable wind generation, and the requirement to maintain a secure power system, the…

Systems and Control · Electrical Eng. & Systems 2022-06-13 Umair Shahzad

The deepening of the penetration of renewable energy is challenging how power system operators cope with their associated variability and uncertainty. The inherent flexibility of dispathchable assets present in power systems, which is often…

Optimization and Control · Mathematics 2024-08-19 Mohamed Awadalla , François Bouffard

The aggressive integration of distributed renewable sources is changing the dynamics of the electric power grid in an unexpected manner. As a result, maintaining conventional performance specifications, such as transient stability, may not…

Optimization and Control · Mathematics 2018-06-14 Liviu Aolaritei , Dongchan Lee , Thanh Long Vu , Konstantin Turitsyn

In complex power systems, nonlinear load flow equations have multiple solutions. Under typical load conditions only one solution is stable and corresponds to a normal operating point, whereas the second solution is not stable and is never…

Chaotic Dynamics · Physics 2014-04-29 Hung D. Nguyen , Konstantin S. Turitsyn

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

This paper explores the integration of renewable energy sources into power systems, highlighting the resulting complexities such as variability and intermittency that challenge traditional power flow dynamics. We delve into innovative…

Systems and Control · Electrical Eng. & Systems 2024-08-13 Zigang Chen

Accurate transient stability assessment is a crucial prerequisite for proper power system operation and planning with various operational constraints. Transient stability assessment of modern power systems is becoming very challenging due…

Systems and Control · Electrical Eng. & Systems 2023-12-22 Umair Shahzad

Introduction of renewable generation leads to significant reduction of inertia in power system, which deteriorates the quality of frequency control. This paper suggests a new control scheme utilizing controllable load to deal with low…

Systems and Control · Computer Science 2018-11-30 Oleg O. Khamisov , Janusz W. Bialek , Anatoly Dymarsky

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
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