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This paper proposes a new data-driven method for the reliable prediction of power system post-fault trajectories. The proposed method is based on the fundamentally new concept of Deep Operator Networks (DeepONets). Compared to traditional…

Numerical Analysis · Mathematics 2022-02-16 Christian Moya , Shiqi Zhang , Meng Yue , Guang Lin

In this paper, we adopt conformal prediction, a distribution-free uncertainty quantification (UQ) framework, to obtain confidence prediction intervals with coverage guarantees for Deep Operator Network (DeepONet) regression. Initially, we…

Machine Learning · Computer Science 2024-02-26 Christian Moya , Amirhossein Mollaali , Zecheng Zhang , Lu Lu , Guang Lin

In the pursuit of accurate experimental and computational data while minimizing effort, there is a constant need for high-fidelity results. However, achieving such results often requires significant computational resources. To address this…

Machine Learning · Computer Science 2023-11-08 Amirhossein Mollaali , Izzet Sahin , Iqrar Raza , Christian Moya , Guillermo Paniagua , Guang Lin

This study presents an enhanced multi-fidelity Deep Operator Network (DeepONet) framework for efficient spatio-temporal flow field prediction when high-fidelity data is scarce. Key innovations include: a merge network replacing traditional…

Fluid Dynamics · Physics 2025-07-18 Sunwoong Yang , Youngkyu Lee , Namwoo Kang

AC optimal power flow (AC-OPF) problems need to be solved more frequently in the future to maintain stable and economic power system operation. To tackle this challenge, a deep neural network-based voltage-constrained approach (DeepOPF-V)…

Systems and Control · Electrical Eng. & Systems 2021-07-20 Wanjun Huang , Xiang Pan , Minghua Chen , Steven H. Low

We develop a data-driven deep neural operator framework to approximate multiple output states for a diesel engine and generate real-time predictions with reasonable accuracy. As emission norms become more stringent, the need for fast and…

Signal Processing · Electrical Eng. & Systems 2025-01-16 Varun Kumar , Somdatta Goswami , Daniel J. Smith , George Em Karniadakis

Voltage stability refers to the ability of a power system to maintain acceptable voltages among all buses under normal operating conditions and after a disturbance. In this paper, a measurement-based voltage stability assessment (VSA)…

Systems and Control · Computer Science 2019-02-27 Zhijie Nie , Xiaohu Zhang , Xiaoying Zhao , Yiran Xu , Di Shi , Jiajun Duan , Zhiwei Wang

Operator learning enables fast surrogate modeling of high-dimensional dynamical systems, but existing approaches face two fundamental limitations: quadratic inference complexity and unreliable uncertainty quantification in safety-critical…

Machine Learning · Computer Science 2026-05-04 Purav Matlia , Christian Moya , Guang Lin

Deep Operator Network (DeepONet), a recently introduced deep learning operator network, approximates linear and nonlinear solution operators by taking parametric functions (infinite-dimensional objects) as inputs and mapping them to…

Computational Engineering, Finance, and Science · Computer Science 2023-10-12 Junyan He , Shashank Kushwaha , Jaewan Park , Seid Koric , Diab Abueidda , Iwona Jasiuk

The growing scale of power systems and the increasing uncertainty introduced by renewable energy sources necessitates novel optimization techniques that are significantly faster and more accurate than existing methods. The AC Optimal Power…

Optimization and Control · Mathematics 2025-12-02 Andrew Rosemberg , Michael Klamkin , Pascal Van Hentenryck

This paper proposes a novel machine-learning approach for predicting AC-OPF solutions that features a fast and scalable training. It is motivated by the two critical considerations: (1) the fact that topology optimization and the…

Machine Learning · Computer Science 2021-01-19 Minas Chatzos , Terrence W. K. Mak , Pascal Van Hentenryck

Unlike common faults, three-phase short-circuit faults in power systems pose significant challenges. These faults can lead to out-of-step (OOS) conditions and jeopardize the system's dynamic security. The rapid dynamics of these faults…

Systems and Control · Electrical Eng. & Systems 2025-04-08 Amin Masoumi , Mert Korkali

This study introduces PINN4PF, an end-to-end deep learning architecture for power flow (PF) analysis that effectively captures the nonlinear dynamics of large-scale modern power systems. The proposed neural network (NN) architecture…

Systems and Control · Electrical Eng. & Systems 2026-01-13 Zeynab Kaseb , Stavros Orfanoudakis , Pedro P. Vergara , Peter Palensky

Recent advances in scientific machine learning have shed light on the modeling of pattern-forming systems. However, simulations of real patterns still incur significant computational costs, which could be alleviated by leveraging large…

Computational Engineering, Finance, and Science · Computer Science 2023-02-28 Wei Li , Martin Z. Bazant , Juner Zhu

Solving the alternating current power flow equations in real time is essential for secure grid operation, yet classical Newton-Raphson solvers can be slow under stressed conditions. Existing graph neural networks for power flow are…

Systems and Control · Electrical Eng. & Systems 2026-03-19 Chidozie Ezeakunne , Jose E. Tabarez , Reeju Pokharel , Anup Pandey

The outage of a transmission line may change the system phase angle differences to the point that the system experience stress conditions. Hence, the angle differences for post-contingency condition of a transmission lines should be…

Signal Processing · Electrical Eng. & Systems 2019-10-22 Elham Foruzan , Sajjad Abedi , Jeremy Lin , Sohrab Asgarpoor , Emanuel Bernabeu

Accurately modeling and inferring solutions to time-dependent partial differential equations (PDEs) over extended horizons remains a core challenge in scientific machine learning. Traditional full rollout (FR) methods, which predict entire…

Machine Learning · Computer Science 2026-03-18 Luis Mandl , Dibyajyoti Nayak , Tim Ricken , Somdatta Goswami

Accurate cardiac output (CO) estimation from photoplethysmography (PPG) is promising for unobtrusive hemodynamic monitoring, but remains difficult since CO is jointly determined by cardiac function and vascular tone. Conventional…

Medical Physics · Physics 2026-05-20 Yaowen Zhang , Bo Cui , Libera Fresiello , Peter H. Veltink , Dirk W. Donker , Ying Wang

The AC Optimal Power Flow (AC-OPF) is a key building block in many power system applications. It determines generator setpoints at minimal cost that meet the power demands while satisfying the underlying physical and operational…

Signal Processing · Electrical Eng. & Systems 2020-07-01 Minas Chatzos , Ferdinando Fioretto , Terrence W. K. Mak , Pascal Van Hentenryck

Neural network based data-driven operator learning schemes have shown tremendous potential in computational mechanics. DeepONet is one such neural network architecture which has gained widespread appreciation owing to its excellent…

Machine Learning · Statistics 2022-06-14 Shailesh Garg , Souvik Chakraborty
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