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Machine-learning technologies for learning dynamical systems from data play an important role in engineering design. This research focuses on learning continuous linear models from data. Stability, a key feature of dynamic systems, is…

Machine Learning · Computer Science 2023-01-25 Pawan Goyal , Igor Pontes Duff , Peter Benner

Predicting the quantum dynamics of promising solid-state and molecular quantum technology candidates remains a formidable challenge. Yet, accessing these dynamics is key to understanding and controlling decoherence mechanisms -- a…

Chemical Physics · Physics 2026-04-10 Tianchu Li , Pranay Venkatesh , Nanako Shitara , Andrés Montoya-Castillo

The changing nature of power systems dynamics is challenging present practices related to modeling and study of system-level dynamic behavior. While developing new techniques and models to handle the new modeling requirements, it is also…

Systems and Control · Electrical Eng. & Systems 2023-08-10 Jose Daniel Lara , Rodrigo Henriquez-Auba , Deepak Ramasubramanian , Sairaj Dhople , Duncan S. Callaway , Seth Sanders

We provide a `user guide' to the literature of the past twenty years concerning the modeling and approximation of discontinuous solutions to nonlinear hyperbolic systems that admit small-scale dependent shock waves. We cover several classes…

Analysis of PDEs · Mathematics 2013-12-05 Philippe G. LeFloch , Siddhartha Mishra

The equivalent split-circuit formulation is a novel approach that has recently been applied to a range of power system related problems. As a result, a linear and a nonlinear method for power system state estimation with simultaneous…

Signal Processing · Electrical Eng. & Systems 2019-07-24 Aleksandar Jovicic , Marko Jereminov , Larry Pileggi , Gabriela Hug

Power systems, including synchronous generator systems, are typical systems that strive for stable operation. In this article, we numerically study the fault transient process of a synchronous generator system based on the first benchmark…

Numerical Analysis · Mathematics 2025-02-25 Sixu Wu , Feng Ji , Lu Gao , Ruili Zhang , Cunwei Tang , Yifa Tang

The global coupling of few-level quantum systems ("spins") to a discrete set of bosonic modes is a key ingredient for many applications in quantum science, including large-scale entanglement generation, quantum simulation of the dynamics of…

Quantum Gases · Physics 2016-12-07 Michael L. Wall , Arghavan Safavi-Naini , Ana Maria Rey

To fully learn the latent temporal dependencies from post-disturbance system dynamic trajectories, deep learning is utilized for short-term voltage stability (STVS) assessment of power systems in this paper. First of all, a semi-supervised…

Signal Processing · Electrical Eng. & Systems 2021-02-25 Meng Zhang , Jiazheng Li , Yang Li , Runnan Xu

Distributed control, as a potential solution to decreasing communication demands in microgrids, has drawn much attention in recent years. Advantages of distributed control have been extensively discussed, while its impacts on microgrid…

Systems and Control · Computer Science 2018-09-11 Yimajian Yan , Di Shi , Desong Bian , Bibin Huang , Zhehan Yi , Zhiwei Wang

This paper proposes a novel methodology for probabilistic dynamic security assessment and enhancement of power systems that considers load and generation variability, N-2 contingencies, and uncertain cascade propagation caused by uncertain…

Systems and Control · Electrical Eng. & Systems 2025-05-05 Frédéric Sabot , Pierre-Etienne Labeau , Pierre Henneaux

With the increasing integration of inverter-based resources into the power grid, there has been a notable reduction in system inertia, potentially compromising frequency stability. To assess the suitability of existing area inertia…

Systems and Control · Electrical Eng. & Systems 2024-08-02 Bendong Tan , Jiangkai Peng , Ningchao Gao , Junbo Zhao , Jin Tan

Use of explicit integration methods for power electronic circuits with ideal switch models significantly improves simulation speed. The PLECS package [1] has effectively used this idea; however, the implementation details involved in PLECS…

Computational Engineering, Finance, and Science · Computer Science 2024-06-19 Mahesh B. Patil

In this paper, the simulation of the disturbance propagation through a large power system is performed on the WSCC 127 bus test system. The signal frequency analysis from several parts of the power system is performed by applying the…

Systems and Control · Computer Science 2013-07-31 Samir Avdakovic , Amir Nuhanovic , Mirza Kusljugic , Elvisa Becirovic

Swing equations are an integral part of a large class of power system dynamical models used in rotor angle stability assessment. Despite intensive studies, some fundamental properties of lossy swing equations are still not fully understood.…

Optimization and Control · Mathematics 2021-02-04 Amin Gholami , Xu Andy Sun

The increasing penetration of non-synchronous renewable energy sources (NS-RES) alters the dynamic characteristic, and consequently, the frequency behaviour of a power system. To accurately identify these changing trends and address them in…

Systems and Control · Computer Science 2017-08-03 Ahmad Shabir Ahmadyar , Shariq Riaz , Gregor Verbic , Archie Chapman , David J. Hill

Incremental stability is a property of dynamical systems that ensures the convergence of trajectories with respect to each other rather than a fixed equilibrium point or a fixed trajectory. In this paper, we introduce a related stability…

Systems and Control · Electrical Eng. & Systems 2025-10-14 P Sangeerth , David Smith Sundarsingh , Bhabani Shankar Dey , Pushpak Jagtap

In this paper, nonlinear model reduction for power systems is performed by the balancing of empirical controllability and observability covariances that are calculated around the operating region. Unlike existing model reduction methods,…

Systems and Control · Computer Science 2016-08-30 Junjian Qi , Jianhui Wang , Hui Liu , Aleksandar D. Dimitrovski

With an increasing share of renewable energy sources, accurate and efficient modeling of grid-forming inverters is becoming crucial for system stability. Linear methods are a powerful tool for understanding dynamics close to an operating…

Systems and Control · Electrical Eng. & Systems 2025-06-30 Jakob Niehues , Anna Büttner , Anne Riegler , Frank Hellmann

In power system dynamic simulation, up to 90% of the computational time is devoted to solve the network equations, i.e., a set of linear equations. Traditional approaches are based on sparse LU factorization, which is inherently sequential.…

Systems and Control · Electrical Eng. & Systems 2021-07-06 Lu Zhang , Bin Wang , Vivek Sarin , Weiping Shi , P. R. Kumar , Le Xie

The increasing integration of power electronic devices is driving the development of more advanced tools and methods for the modeling, analysis, and control of modern power systems to cope with the different time-scale oscillations. In this…

Systems and Control · Electrical Eng. & Systems 2019-10-22 Umberto Biccari , Noboru Sakamoto , Eneko Unamuno , Danel Madariaga , Enrique Zuazua , Jon Andoni Barrena