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Dynamic state estimation (DSE) is becoming increasingly important for monitoring inverter-dominated power systems. Due to their cascading control structures, inverter-based resources (IBRs) exhibit multi-timescale dynamics, leading to stiff…

Systems and Control · Electrical Eng. & Systems 2026-04-22 Xingyu Zhao , Marcos Netto , Junbo Zhao

Robust physics (e.g., governing equations and laws) discovery is of great interest for many engineering fields and explainable machine learning. A critical challenge compared with general training is that the term and format of governing…

Numerical Analysis · Mathematics 2021-02-15 Zhiming Zhang , Yongming Liu

In this article, we introduce and analyze a deep learning based approximation algorithm for SPDEs. Our approach employs neural networks to approximate the solutions of SPDEs along given realizations of the driving noise process. If applied…

Numerical Analysis · Mathematics 2025-10-21 Christian Beck , Sebastian Becker , Patrick Cheridito , Arnulf Jentzen , Ariel Neufeld

Deep neural networks (DNN) have been used to model nonlinear relations between physical quantities. Those DNNs are embedded in physical systems described by partial differential equations (PDE) and trained by minimizing a loss function that…

Numerical Analysis · Mathematics 2020-02-26 Kailai Xu , Eric Darve

An ensemble of neural networks is known to be more robust and accurate than an individual network, however usually with linearly-increased cost in both training and testing. In this work, we propose a two-stage method to learn Sparse…

Machine Learning · Statistics 2018-05-24 Yichi Zhang , Zhijian Ou

Smart power grids are one of the most complex cyber-physical systems, delivering electricity from power generation stations to consumers. It is critically important to know exactly the current state of the system as well as its state…

Systems and Control · Electrical Eng. & Systems 2021-02-12 Shahrzad Hadayeghparast , Amir Namavar Jahromi , Hadis Karimipour

Hybrid AC/DC distribution systems are becoming a popular means to accommodate the increasing penetration of distributed energy resources and flexible loads. This paper proposes a distributed and robust state estimation (DRSE) method for…

Systems and Control · Electrical Eng. & Systems 2020-11-24 Manyun Huang , Junbo Zhao , Zhinong Wei , Marco Pau , Guoqiang Sun

The increasing integration of intermittent renewable generation, especially at the distribution level,necessitates advanced planning and optimisation methodologies contingent on the knowledge of thegrid, specifically the admittance matrix…

Systems and Control · Electrical Eng. & Systems 2021-12-21 Jean-Sébastien Brouillon , Emanuele Fabbiani , Pulkit Nahata , Keith Moffat , Florian Dörfler , Giancarlo Ferrari-Trecate

Model-based deep reinforcement learning has achieved success in various domains that require high sample efficiencies, such as Go and robotics. However, there are some remaining issues, such as planning efficient explorations to learn more…

Machine Learning · Computer Science 2021-07-06 Yao Yao , Li Xiao , Zhicheng An , Wanpeng Zhang , Dijun Luo

Probabilistic power flow (PPF) analysis is critical to power system operation and planning. PPF aims at obtaining probabilistic descriptions of the state of the system with stochastic power injections (e.g., renewable power generation and…

Systems and Control · Electrical Eng. & Systems 2023-08-23 Kejun Chen , Yu Zhang

Deriving governing equations in Electromagnetic (EM) environment based on first principles can be quite tough when there are some unknown sources of noise and other uncertainties in the system. For nonlinear multiple-physics electromagnetic…

Computational Physics · Physics 2019-10-31 Bing Xiong , Haiyang Fu , Feng Xu , Yaqiu Jin

Wind farm design primarily depends on the variability of the wind turbine wake flows to the atmospheric wind conditions, and the interaction between wakes. Physics-based models that capture the wake flow-field with high-fidelity are…

Machine Learning · Computer Science 2021-11-17 S. Ashwin Renganathan , Romit Maulik , Stefano Letizia , Giacomo Valerio Iungo

Probabilistic power flow (PPF) plays a critical role in power system analysis. However, the high computational burden makes it challenging for the practical implementation of PPF. This paper proposes a model-based deep learning approach to…

Signal Processing · Electrical Eng. & Systems 2019-09-17 Yan Yang , Zhifang Yang , Juan Yu , Baosen Zhang

How can short-term energy consumption be accurately forecasted when sensor data is noisy, incomplete, and lacks contextual richness? This question guided our participation in the \textit{2025 Competition on Electric Energy Consumption…

Machine Learning · Computer Science 2025-10-21 Sarah Al-Shareeda , Gulcihan Ozdemir , Heung Seok Jeon , Khaleel Ahmad

Energy detector (ED) is a popular choice for distributed cooperative spectrum sensing because it does not need to be cognizant of the primary user (PU) signal characteristics. However, the conventional ED-based sensing usually requires…

Systems and Control · Electrical Eng. & Systems 2024-09-23 Mohammed Rashid , Jeffrey A. Nanzer

Due to the insufficient measurements in the distribution system state estimation (DSSE), full observability and redundant measurements are difficult to achieve without using the pseudo measurements. The matrix completion state estimation…

Machine Learning · Computer Science 2019-10-15 Bo Liu , Hongyu Wu , Yingchen Zhang , Rui Yang , Andrey Bernstein

We consider the problem of reconstructing the dynamic state matrix of transmission power grids from time-stamped PMU measurements in the regime of ambient fluctuations. Using a maximum likelihood based approach, we construct a family of…

Systems and Control · Computer Science 2017-10-31 Andrey Y. Lokhov , Marc Vuffray , Dmitry Shemetov , Deepjyoti Deka , Michael Chertkov

In this paper, we introduce PDE-LEARN, a novel deep learning algorithm that can identify governing partial differential equations (PDEs) directly from noisy, limited measurements of a physical system of interest. PDE-LEARN uses a Rational…

Machine Learning · Computer Science 2023-02-13 Robert Stephany , Christopher Earls

Sustainable and economical generation of electrical power is an essential and mandatory component of infrastructure in today's world. Optimal generation (generator subset selection) of power requires a careful evaluation of various factors…

Computational Engineering, Finance, and Science · Computer Science 2017-09-11 Biswarup Bhattacharya , Abhishek Sinha

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