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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

Synchronous generators and inverter-based resources are complex systems with dynamics that cut across multiple intertwined physical domains and control loops. Modeling individual generators and inverters is, in itself, a very involved…

Systems and Control · Electrical Eng. & Systems 2022-07-26 D. Venkatramanan , Manish K. Singh , Olaolu Ajala , Alejandro Dominguez-Garcia , Sairaj Dhople

Inter-area oscillations have been extensively studied in conventional power systems dominated by synchronous machines, as well as methods to mitigate them. Several publications have addressed Power Oscillation Damping (POD) controllers in…

This paper presents a trajectory tracking control strategy that modulates the active power injected by geographically distributed inverter-based resources to support transient stability. Each resource is independently controlled, and its…

Systems and Control · Electrical Eng. & Systems 2021-07-29 Ryan T. Elliott , Payman Arabshahi , Daniel S. Kirschen

The new perturbation theory for the problem of nonstationary anharmonic oscillator with polynomial nonstationary perturbation is proposed. As a zero order approximation the exact wave function of harmonic oscillator with variable frequency…

Quantum Physics · Physics 2016-09-08 Alexander V. Bogdanov , Ashot S. Gevorkyan

We apply ring-diagram analysis and spherical harmonic decomposition methods to compute 3-dimensional power spectra of magnetograms obtained by the Global Oscillation Network Group (GONG) during quiet periods of solar activity. This allows…

Solar and Stellar Astrophysics · Physics 2010-03-29 Kiran Jain , S. C. Tripathy , S. Kholikov , F. Hill

In this paper, we investigate the impact of interconnect and device process variations on voltage fluctuations in power grids. We consider random variations in the power grid's electrical parameters as spatial stochastic processes and…

Hardware Architecture · Computer Science 2011-11-09 Praveen Ghanta , Sarma Vrudhula , Rajendran Panda , Janet Wang

As more distributed energy resources (DERs) are connected to the power grid, it becomes increasingly important to ensure safe and effective coordination between legacy voltage regulation devices and inverter-based DERs. In this work, we…

Systems and Control · Electrical Eng. & Systems 2022-04-05 Jaimie Swartz , Federico Celi , Fabio Pasqualetti , Alexandra von Meier

A particular example of chaos can be conceived in the interaction of non-linear oscillator with a harmonic gravitational wave. When we replace the linear potential forces by the therm SIN(x), the type of solution becomes subject to external…

chao-dyn · Physics 2007-05-23 G. V. Vlasov

With the increased interest in integrating renewable energy sources (RES) such as wind power and solar into the power systems owing to their zero greenhouse gas emissions and the involvement of power converters for integration in grid, the…

Signal Processing · Electrical Eng. & Systems 2020-09-29 Utkarsh Singh

Oscillatory dynamics are ubiquitous in biological networks. Possible sources of oscillations are well understood in low-dimensional systems, but have not been fully explored in high-dimensional networks. Here we study large networks…

Disordered Systems and Neural Networks · Physics 2016-12-21 Célian Bimbard , Erwan Ledoux , Srdjan Ostojic

Oscillations between swing modes of electric machines is an important limitation in achieving a high level of transient performance and reliability in power grids. Based on the new advances in measurement and transmission of wide-area…

Systems and Control · Computer Science 2015-04-09 Babak Tavassoli

Transient stability analysis (TSA) plays an important role in power system analysis to investigate the stability of power system. Traditionally, transient stability analysis methods have been developed using time domain simulation by means…

Systems and Control · Electrical Eng. & Systems 2021-06-08 Xiang Zhang , Renchang Dai , Peng Wei , Yijing Liu , Guangyi Liu , Zhiwei Wang

The traditional secondary frequency control of power systems restores nominal frequency by steering Area Control Errors (ACEs) to zero. Existing methods are a form of integral control with the characteristic that large control gain…

Optimization and Control · Mathematics 2018-07-17 Kaihua Xi , Johan L. A. Dubbeldam , Hai Xiang Lin , Jan H. van Schuppen

The absolute requirement to increase the amount of energy generation from renewable sources e.g. predominantly asynchronously connected wind turbines and photovoltaic installations, may in practice during transient events (where frequency…

Systems and Control · Electrical Eng. & Systems 2019-08-14 Marios Zarifakis , William T. Coffey , Yuri P. Kalmykov , Serguey V. Titov , Declan J. Byrne , Stephen J. Carrig

We assess the power consumption of network synchronisation protocols, particularly the energy required to synchronise all nodes across a network. We use the widely adopted approach of bio-inspired, pulse-coupled oscillators to achieve…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-10-25 Paul Gainer , Sven Linker , Clare Dixon , Ullrich Hustadt , Michael Fisher

Power systems dominated by converter-interfaced distributed energy resources (DERs) typically exhibit weaker damping capabilities and lower inertia, compromising system stability. Although individual DER controllers are evolving to provide…

Systems and Control · Electrical Eng. & Systems 2025-04-21 Cheng Feng , Linbin Huang , Xiuqiang He , Yi Wang , Florian Dörfler , Chongqing Kang

This paper proposes a novel second order mathematical model in the Kuramoto framework to simulate and study low frequency oscillations in power systems. This model facilitates better understanding of the complex dynamics of a power network.…

Systems and Control · Electrical Eng. & Systems 2019-12-03 Pratik K. Bajaria , Sushama R. Wagh , Navdeep M. Singh

This paper investigates stability estimates for inverse source problems in the stochastic polyharmonic wave equation, where the source is represented by white noise. The study examines the well-posedness of the direct problem and derives…

Analysis of PDEs · Mathematics 2024-10-15 Peijun Li , Zhenqian Li , Ying Liang

Real-time tracking of inertia is important because it reflects the power system's ability to withstand contingencies and maintain frequency security. This paper proposes a practical approach to estimate inertia using ambient phasor…

Systems and Control · Electrical Eng. & Systems 2025-08-12 Anushka Sharma , Anamitra Pal , Rajasekhar Anguluri , Tamojit Chakraborty