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Cascading failures in power systems normally occur as a result of initial disturbance or faults on electrical elements, closely followed by errors of human operators. It remains a great challenge to systematically trace the source of…

Systems and Control · Computer Science 2017-03-16 Chao Zhai , Hehong Zhang , Gaoxi Xiao , Tso-Chien Pan

The electrical grid is evolving from a network consisting of mostly synchronous machines to a mixture of synchronous machines and inverter-based resources such as wind, solar, and energy storage. This transformation has led to a decrease in…

Systems and Control · Electrical Eng. & Systems 2020-07-29 Atinuke Ademola-Idowu , Baosen Zhang

Many combinatorial optimization problems can be mapped to finding the ground states of the corresponding Ising Hamiltonians. The physical systems that can solve optimization problems in this way, namely Ising machines, have been attracting…

Emerging Technologies · Computer Science 2017-10-16 Tianshi Wang , Jaijeet Roychowdhury

Stochastic power fluctuation in a fiber optic system due to the interplay among dispersion, nonlinearity and partial coherence of the source is investigated. An analytical expression for the power fluctuation of a signal pulse due to its…

Pattern Formation and Solitons · Physics 2020-03-23 Shiva Kumar , Jing Shao

The rapid rise in inverter-based renewable resources has heightened concerns over subsynchronous resonance and oscillations, thereby challenging grid stability. This paper reviews approaches to identify and mitigate these issues, focusing…

Systems and Control · Electrical Eng. & Systems 2025-01-16 Shuvangkar Chandra Das , Lokesh Saravana , Le Minh Vu , Manh Bui , Tuyen Vu , Jianhua Zhang , Thomas Ortmeyer

To address computational challenges associated with power flow nonconvexities, significant research efforts over the last decade have developed convex relaxations and approximations of optimal power flow (OPF) problems. However, benefits…

Systems and Control · Electrical Eng. & Systems 2023-02-24 Babak Taheri , Daniel K. Molzahn

This study presents a method to locate power system disturbance using wide-area synchrophasor measurements. The merits of the proposed method include robustness and easy for visualization. In addition, the proposed method facilitates the…

Systems and Control · Electrical Eng. & Systems 2021-03-18 Shutang You

I present a matched-wave asymptotic analysis of the driving of solar oscillations by a general localised source. The analysis provides a simple mathematical description of the asymmetric peaks in the power spectrum in terms of the relative…

Astrophysics · Physics 2009-10-30 Colin S. Rosenthal

Timely recognition of voltage instability is crucial to allow for effective control and protection interventions. Phasor measurements units (PMUs) can be utilized to provide high sampling rate time-synchronized voltage and current phasors…

Systems and Control · Computer Science 2013-08-05 R. Leelaruji , L. Vanfretti , J. O. Gjerde , S. Lovlund

An alternative mechanism is proposed for the generation of harmonics of the electron plasma frequency due to the development of explosive instability in a system of interpenetrating electron and proton flows in the solar atmosphere. The…

Solar and Stellar Astrophysics · Physics 2019-01-01 V. V. Fomichev , S. M. Fainshtein , G. P. Chernov

Power-based output feedback compensator for oscillatory systems is proposed. The average input-output power of an oscillatory signal serves as an equivalent control effort, while the unknown amplitude and frequency of oscillations are…

Systems and Control · Electrical Eng. & Systems 2024-07-30 Michael Ruderman

Nonlinear dynamical systems such as coupled oscillators are being actively investigated as Ising machines for solving computationally hard problems in combinatorial optimization. Prior works have established the equivalence between the…

Dynamical Systems · Mathematics 2023-01-19 Mohammad Khairul Bashar , Zongli Lin , Nikhil Shukla

Voltage fluctuations are common disturbances in power grids. Initially, it is necessary to selectively identify individual sources of voltage fluctuations to take actions to minimize the effects of voltage fluctuations. Selective…

Signal Processing · Electrical Eng. & Systems 2023-06-16 Piotr Kuwałek

Optimal control problems with oscillations (chattering controls) and concentrations (impulsive controls) can have integral performance criteria such that concentration of the control signal occurs at a discontinuity of the state signal.…

Optimization and Control · Mathematics 2019-01-29 Didier Henrion , Martin Kru{ž}ík , Tillmann Weisser

The rapid growth of wind power generation has led to increased interest in understanding and mitigating the adverse effects of wind turbine wakes and forced oscillations in wind farms. In this paper, we model a wind farm consisting of three…

Systems and Control · Electrical Eng. & Systems 2023-06-22 K. Victor Sam Moses Babu , Pratyush Chakraborty , Mayukha Pal

Installation of phasor measurement units (PMUs) in a number of substations in the power grid can help assess a set of its values and parameters, in particular those related to the dynamics when disturbances occur in the system. Inertia…

Systems and Control · Electrical Eng. & Systems 2021-04-19 Mohammadali Hayerikhiyavi , Aleksandar Dimitrovski

Power system coherency refers to the phenomenon that machines in a power network exhibit similar frequency responses after disturbances, and is foundational for model reduction and control design. Despite abundant empirical observations,…

Systems and Control · Electrical Eng. & Systems 2025-11-11 Yixuan Liu , Yingzhu Liu , Pengcheng You

We describe synchronization transitions in an ensemble of globally coupled phase oscillators with a bi-harmonic coupling function, and two sources of disorder - diversity of intrinsic oscillatory frequencies and external independent noise.…

Adaptation and Self-Organizing Systems · Physics 2015-06-23 Vladimir Vlasov , Maxim Komarov , Arkady Pikovsky

Behavioral homogeneity is often critical for the functioning of network systems of interacting entities. In power grids, whose stable operation requires generator frequencies to be synchronized--and thus homogeneous--across the network,…

Adaptation and Self-Organizing Systems · Physics 2024-09-24 Ferenc Molnar , Takashi Nishikawa , Adilson E. Motter

The paper introduces a simple quantum model to calculate in a general way allowed frequencies and energy levels of the anharmonic oscillator. The theoretical basis of the approach has been introduced in two early papers aimed to infer the…

Quantum Physics · Physics 2011-05-19 Sebastiano Tosto
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