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Modern power systems face significant challenges in state estimation and real-time monitoring, particularly regarding response speed and accuracy under faulty conditions or cyber-attacks. This paper proposes a hybrid approach using…

Machine Learning · Computer Science 2026-04-07 Solon Falas , Markos Asprou , Charalambos Konstantinou , Maria K. Michael

State estimation is the cornerstone of the power system control center since it provides the operating condition of the system in consecutive time intervals. This work investigates the application of physics-informed neural networks (PINNs)…

Machine Learning · Computer Science 2026-04-07 Solon Falas , Markos Asprou , Charalambos Konstantinou , Maria K. Michael

Varying power-infeed from converter-based generation units introduces great uncertainty on system parameters such as inertia and damping. As a consequence, system operators face increasing challenges in performing dynamic security…

Systems and Control · Electrical Eng. & Systems 2021-04-16 Jochen Stiasny , George S. Misyris , Spyros Chatzivasileiadis

Considering the growing necessity for precise modeling of power electronics amidst operational and environmental uncertainties, this paper introduces an innovative methodology that ingeniously combines model-driven and data-driven…

Systems and Control · Electrical Eng. & Systems 2024-06-25 Peifeng Hui , Chenggang Cui , Pengfeng Lin , Amer M. Y. M. Ghias , Xitong Niu , Chuanlin Zhang

Physics-informed neural networks (PINNs) provide a deep learning framework for numerically solving partial differential equations (PDEs), and have been widely used in a variety of PDE problems. However, there still remain some challenges in…

Machine Learning · Computer Science 2022-05-19 Wensheng Li , Chao Zhang , Chuncheng Wang , Hanting Guan , Dacheng Tao

This paper introduces for the first time, to the best of our knowledge, the Bayesian Physics-Informed Neural Networks for applications in power systems. Bayesian Physics-Informed Neural Networks (BPINNs) combine the advantages of…

Systems and Control · Electrical Eng. & Systems 2022-12-23 Simon Stock , Jochen Stiasny , Davood Babazadeh , Christian Becker , Spyros Chatzivasileiadis

Combining machine learning with physics is a trending approach for discovering unknown dynamics, and one of the most intensively studied frameworks is the physics-informed neural network (PINN). However, PINN often fails to optimize the…

Machine Learning · Computer Science 2023-11-29 Yuichi Kajiura , Jorge Espin , Dong Zhang

The importance and cost of time-domain simulations when studying power systems have exponentially increased in the last decades. With the growing share of renewable energy sources, the slow and predictable responses from large turbines are…

Systems and Control · Electrical Eng. & Systems 2025-10-08 Ignasi Ventura Nadal , Rahul Nellikkath , Spyros Chatzivasileiadis

In order to drastically reduce the heavy computational burden associated with time-domain simulations, this paper introduces a Physics-Informed Neural Network (PINN) to directly learn the solutions of power system dynamics. In contrast to…

Systems and Control · Electrical Eng. & Systems 2021-07-01 Jochen Stiasny , Samuel Chevalier , Spyros Chatzivasileiadis

State estimation for nonlinear dynamical systems is a critical challenge in control and engineering applications, particularly when only partial and noisy measurements are available. This paper introduces a novel Adaptive Physics-Informed…

Machine Learning · Computer Science 2025-10-31 Ayoub Farkane , Mohamed Boutayeb , Mustapha Oudani , Mounir Ghogho

Physics-Informed Neural Networks (PINNs) are a class of deep neural networks that are trained, using automatic differentiation, to compute the response of systems governed by partial differential equations (PDEs). The training of PINNs is…

Machine Learning · Computer Science 2021-04-27 Mohammad Amin Nabian , Rini Jasmine Gladstone , Hadi Meidani

Numerical methods such as finite element have been flourishing in the past decades for modeling solid mechanics problems via solving governing partial differential equations (PDEs). A salient aspect that distinguishes these numerical…

Numerical Analysis · Mathematics 2020-06-16 Chengping Rao , Hao Sun , Yang Liu

While the uncertainty in generation and demand increases, accurately estimating the dynamic characteristics of power systems becomes crucial for employing the appropriate control actions to maintain their stability. In our previous work, we…

Systems and Control · Electrical Eng. & Systems 2024-03-21 Simon Stock , Davood Babazadeh , Christian Becker , Spyros Chatzivasileiadis

Approximating solutions to partial differential equations (PDEs) is fundamental for the modeling of dynamical systems in science and engineering. Physics-informed neural networks (PINNs) are a recent machine learning-based approach, for…

Physics-informed neural networks (PINNs) constitute a flexible approach to both finding solutions and identifying parameters of partial differential equations. Most works on the topic assume noiseless data, or data contaminated with weak…

Machine Learning · Statistics 2024-06-21 Philipp Pilar , Niklas Wahlström

The simulation of power system dynamics poses a computationally expensive task. Considering the growing uncertainty of generation and demand patterns, thousands of scenarios need to be continuously assessed to ensure the safety of power…

Systems and Control · Electrical Eng. & Systems 2023-11-13 Jochen Stiasny , Spyros Chatzivasileiadis

In recent years, scientific machine learning, particularly physic-informed neural networks (PINNs), has introduced new innovative methods to understanding the differential equations that describe power system dynamics, providing a more…

Systems and Control · Electrical Eng. & Systems 2024-03-12 Huynh T. T. Tran , Hieu T. Nguyen

Physics-Informed Neural Networks (PINN) are neural networks (NNs) that encode model equations, like Partial Differential Equations (PDE), as a component of the neural network itself. PINNs are nowadays used to solve PDEs, fractional…

Due to the increasing system stability issues caused by the technological revolutions of power system equipment, the assessment of the dynamic security of the systems for changing operating conditions (OCs) is nowadays crucial. To address…

Systems and Control · Electrical Eng. & Systems 2023-04-11 Haiwei Xie , Federica Bellizio , Jochen L. Cremer , Goran Strbac

Physics-informed neural networks (PINNs) provide a promising framework for solving inverse problems governed by partial differential equations (PDEs) by integrating observational data and physical constraints in a unified optimization…

Machine Learning · Computer Science 2026-04-07 Yongsheng Chen , Yong Chen , Wei Guo , Xinghui Zhong
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