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The performance of decision policies and prediction models often deteriorates when applied to environments different from the ones seen during training. To ensure reliable operation, we analyze the stability of a system under distribution…

Machine Learning · Statistics 2026-02-13 Hongseok Namkoong , Yuanzhe Ma , Peter W. Glynn

Power system operators need tools for rapid, real-time counterfactual assessments of grid security under fast-changing conditions. Traditional N-1 contingency analysis lacks dynamic evaluation, especially of frequency swings from common…

Dynamical Systems · Mathematics 2025-10-22 Ayrton Almada , Laurent Pagnier , Igal Goldshtein , Saif R. Kazi , Michael , Chertkov

We address the problem of maintaining high voltage power transmission networks in security at all time, namely anticipating exceeding of thermal limit for eventual single line disconnection (whatever its cause may be) by running slow, but…

Machine Learning · Statistics 2018-05-04 Benjamin Donnot , Isabelle Guyon , Antoine Marot , Marc Schoenauer , Patrick Panciatici

In this paper, we consider robust stability analysis of large-scale sparsely interconnected uncertain systems. By modeling the interconnections among the subsystems with integral quadratic constraints, we show that robust stability analysis…

Optimization and Control · Mathematics 2016-11-15 Martin S. Andersen , Sina Khoshfetrat Pakazad , Anders Hansson , Anders Rantzer

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 2025-05-22 Umair Shahzad

Existing or planned power grids need to evaluate survivability under extreme events, like a number of peak load overloading conditions, which could possibly cause system collapses (i.e. blackouts). For realistic extreme events that are…

Systems and Control · Electrical Eng. & Systems 2026-03-13 Qinghua Ma , Reetam Sen Biswas , Denis Osipov , Guannan Qu , Soummya Kar , Shimiao Li

The increasing demand of large scale wind integration in the conventional power system brings a lot of challenges. One of them is the stability of the power system when subjected to a large disturbance, such as a fault. This paper proposes…

Systems and Control · Electrical Eng. & Systems 2022-05-10 Umair Shahzad

This paper proposes a new approach to perform small-signal stability analysis based on linearization of implicit multilinear models. Multilinear models describe the system dynamics by multilinear functions of state, input, and algebraic…

Systems and Control · Electrical Eng. & Systems 2026-03-10 Christoph Kaufmann , Georg Pangalos , Gerwald Lichtenberg , Oriol Gomis-Bellmunt

As the proportion of converter-interfaced renewable energy resources in the power system is increasing, the strength of the power grid at the connection point of wind turbine generators (WTGs) is gradually weakening. Existing research has…

Systems and Control · Electrical Eng. & Systems 2023-06-13 Mohammad Kazem Bakhshizadeh , Sujay Ghosh , Guangya Yang , Łukasz Kocewiak

Distributed consensus-based controllers for optimal secondary frequency regulation of microgrids and power systems have received substantial attention in recent years. This paper provides a Lyapunov-based proof that, under a time-scale…

Optimization and Control · Mathematics 2020-03-11 John W. Simpson-Porco

The proliferation of inverter-based generation and advanced sensing, controls, and communication infrastructure have facilitated the accelerated deployment of microgrids. A coordinated network of microgrids can maintain reliable power…

Systems and Control · Electrical Eng. & Systems 2020-03-19 Sai Pushpak Nandanoori , Soumya Kundu , Wei Du , Francis Tuffner , Kevin Schneider

Impulsive systems are a very flexible class of systems that can be used to represent switched and sampled-data systems. We propose to extend here the previously obtained results on deterministic impulsive systems to the stochastic setting.…

Optimization and Control · Mathematics 2016-08-02 Corentin Briat

Real power systems exhibit dynamics that evolve across a wide range of time scales, from very fast to very slow phenomena. Historically, incorporating these wide-ranging dynamics into a single model has been impractical. As a result, power…

Systems and Control · Electrical Eng. & Systems 2025-10-29 Luis David Pabon Ospina , Martin Braun , Sushobhan Chatterjee , Sijia Geng

With the increase of uncertain and intermittent renewable energy supply on the grid, the power system has become more vulnerable to instability. In this paper, we develop a demand response strategy to improve power system small-signal…

Systems and Control · Electrical Eng. & Systems 2023-04-17 Mengqi Yao , Sandip Roy , Johanna L. Mathieu

This paper presents several stability analyses for grid-forming inverters and synchronous generators considering the dynamics of transmission lines and different load models. Load models are usually of secondary importance compared to…

Systems and Control · Electrical Eng. & Systems 2024-02-28 Rodrigo Henriquez-Auba , Jose Daniel Lara , Duncan S. Callaway

Modern power networks face increasing vulnerability to cascading failures due to high complexity and the growing penetration of intermittent resources, necessitating rigorous security assessment beyond the conventional $N-1$ criterion.…

Systems and Control · Electrical Eng. & Systems 2025-12-10 Alexandre Gracia-Calvo , Francesca Rossi , Eduardo Iraola , Juan Carlos Olives-Camps , Eduardo Prieto-Araujo

Stability of power electronic converters connected to power grids is commonly assessed by using the impedance criterion. On the contrary, stability of power grids is typically analysed by using network state-space representation and system…

Systems and Control · Electrical Eng. & Systems 2023-06-01 Pablo Rodriguez-Ortega , Javier Roldan-Perez , Milan Prodanovic

This paper proposes a joint input and state dynamic estimation scheme for power networks in microgrids and active distribution systems with unknown inputs. The conventional dynamic state estimation of power networks in the transmission…

Systems and Control · Electrical Eng. & Systems 2021-08-04 Bang L. H. Nguyen , Tuyen V. Vu , Joseph M. Guerrero , Mischael Steurer , Karl Schoder , Tuan Ngo

Conventionally, the dynamic state estimation of variables in power networks is performed based on the forecasting-aided model of bus voltages. This approach is effective in the stiff grids at the transmission level, where the bus voltages…

Systems and Control · Electrical Eng. & Systems 2021-10-26 Bang L. H. Nguyen , Tuyen V. Vu , Thomas H. Ortmeyer , Tuan Ngo

Modern electric power systems have an increasingly complex structure due to rise in power demand and integration of diverse energy sources. Monitoring these large-scale systems, which relies on efficient state estimation, represents a…

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