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Transient responses in disordered systems typically show a heavy-tail relaxation behavior: the decay time constant increases as time increases, revealing a spectral distribution of time constants. The asymptotic value of such transients is…

Disordered Systems and Neural Networks · Physics 2017-06-06 Jiajun Luo , M. Grayson

Analyzing system trajectory from the perspective of individual machines provides a distinctive angle to analyze the transient stability of power systems. This two-paper series propose a direct-time-domain method that is based on the…

Signal Processing · Electrical Eng. & Systems 2017-12-05 Songyan Wang , Non-member , Jilai Yu , Wei Zhang

Due to the energy transition, today's electrical networks include synchronous machines and inverter-based resources interfacing renewable energies such as wind turbines, solar panels, and Battery Energy Storage Systems to the grid. In such…

Systems and Control · Electrical Eng. & Systems 2024-02-08 Pamela Zoghby , Bogdan Marinescu , Antoine Rosse , Gregoire Prime

While reasoning-augmented large language models (RLLMs) significantly enhance complex task performance through extended reasoning chains, they inevitably introduce substantial unnecessary token consumption, particularly for simpler problems…

Computation and Language · Computer Science 2025-05-28 Yang He , Xiao Ding , Bibo Cai , Yufei Zhang , Kai Xiong , Zhouhao Sun , Bing Qin , Ting Liu

Symmetries are widespread in physical, technological, biological, and social systems and networks, including power grids. The swing equation is a classic model for the dynamics of powergrid networks. The main goal of this paper is to…

Systems and Control · Electrical Eng. & Systems 2021-07-26 Kshitij Bhatta , Majeed Hayat , Francesco Sorrentino

We consider a microgrid where different prosumers exchange energy altogether by the edges of a given network. Each prosumer is located to a node of the network and encompasses energy consumption, energy production and storage capacities…

Optimization and Control · Mathematics 2019-12-24 Pierre Carpentier , Jean-Philippe Chancelier , Michel de Lara , François Pacaud

In order to improve the classification accuracy of transient stability assessment of power systems, a novel method based on local learning machine and an improved bacterial colony chemotaxis (BCC) algorithm is proposed, where local learning…

Signal Processing · Electrical Eng. & Systems 2024-12-20 Xueping Gu , Yang Li

In this paper we consider the problem of determining the stability properties, and in particular assessing the exponential stability, of a singularly perturbed linear switching system. One of the challenges of this problem arises from the…

Dynamical Systems · Mathematics 2022-05-17 Yacine Chitour , Ihab Haidar , Paolo Mason , Mario Sigalotti

We propose and study an algorithm for computing a nearest passive system to a given non-passive linear time-invariant system (with much freedom in the choice of the metric defining `nearest', which may be restricted to structured…

Numerical Analysis · Mathematics 2021-03-04 Antonio Fazzi , Nicola Guglielmi , Christian Lubich

Power grids are one of the most important components of infrastructure in today's world. Every nation is dependent on the security and stability of its own power grid to provide electricity to the households and industries. A malfunction of…

Systems and Control · Computer Science 2017-11-13 Biswarup Bhattacharya , Abhishek Sinha

Determination of the most economic strategies for supply and transmission of electricity is a daunting computational challenge. Due to theoretical barriers, so-called NP-hardness, the amount of effort to optimize the schedule of generating…

Optimization and Control · Mathematics 2017-07-13 Ramtin Madani , Alper Atamturk , Ali Davoudi

The architecture and the parameters of neural networks are often optimized independently, which requires costly retraining of the parameters whenever the architecture is modified. In this work we instead focus on growing the architecture…

Machine Learning · Computer Science 2022-06-08 Utku Evci , Bart van Merriënboer , Thomas Unterthiner , Max Vladymyrov , Fabian Pedregosa

When studying high-dimensional dynamical systems such as macromolecules, quantum systems and polymers, a prime concern is the identification of the most probable states and their stationary probabilities or free energies. Often, these…

Data Analysis, Statistics and Probability · Physics 2013-01-01 Hao Wu , Frank Noé

In this paper we provide a thorough, rigorous theoretical framework to assess optimality guarantees of sampling-based algorithms for drift control systems: systems that, loosely speaking, can not stop instantaneously due to momentum. We…

Robotics · Computer Science 2015-10-28 Edward Schmerling , Lucas Janson , Marco Pavone

In this paper, we study the problem of transient signal analysis. A signal-dependent algorithm is proposed which sequentially identifies the countable sets of decay rates and expansion coefficients present in a given signal. We…

Optimization and Control · Mathematics 2015-09-21 Tarek A. Lahlou , Anuran Makur

This work presents a general framework for the operationally driven optimal siting and sizing of battery energy storage systems in power transmission networks, aimed at enhancing their resource adequacy. The approach considers multi-period…

Systems and Control · Electrical Eng. & Systems 2026-03-05 Ginevra Larroux , Matthieu Jacobs , Keyu Jia , Fabrizio Sossan , Mario Paolone

Developing a unified small-signal model for modern, large-scale power systems that remains accurate across a wide range of operating ranges presents a formidable challenge. Traditional methods, spanning mechanistic modeling, modal…

Systems and Control · Electrical Eng. & Systems 2025-08-26 Weicheng Liu , Di Liu , Songyan Zhang , Chao Lu

The modern power system is evolving with increasing penetration of power electronics introducing complicated electromagnetic phenomenon. Electromagnetic transient (EMT) simulation is essential to understand power system behavior under…

Systems and Control · Electrical Eng. & Systems 2021-07-02 Yijing Liu , Xiang Zhang , Renchang Dai , Guangyi Liu

This paper describes an adaptive method to reduce a nonlinear power system model for fast and accurate transient stability simulation. It presents an approach to analyze and rank participation factors of each system state variable into…

Dynamical Systems · Mathematics 2023-02-21 Mahsa Sajjadi , Kaiyang Huang , Kai Sun

The growing integration of renewable energy sources has significantly reduced grid inertia, making modern power systems more vulnerable to instabilities. Accurate estimation of dynamic parameters such as inertia constants and damping…

Dynamical Systems · Mathematics 2025-12-08 Aiman Mushtaq Purra , Danish Rafiq