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With the rise of renewable energy sources and their high variability in generation, the management of power grids becomes increasingly complex and computationally demanding. Conventional AC-power-flow simulations, which use the…

Artificial Intelligence · Computer Science 2026-03-31 Muhammed Öz , Jasmin Hörter , Kaleb Phipps , Charlotte Debus , Achim Streit , Markus Götz

Voltage prediction in distribution grids is a critical yet difficult task for maintaining power system stability. Machine learning approaches, particularly Graph Neural Networks (GNNs), offer significant speedups but suffer from poor…

Machine Learning · Computer Science 2025-12-09 Ehimare Okoyomon , Arbel Yaniv , Christoph Goebel

The DC Optimal Power Flow (DC-OPF) problem is fundamental to power system operations, requiring rapid solutions for real-time grid management. While traditional optimization solvers provide optimal solutions, their computational cost…

Machine Learning · Computer Science 2025-12-15 Kshitiz Khanal

Modern state and parameter estimations in power systems consist of two stages: the outer problem of minimizing the mismatch between network observation and prediction over the network parameters, and the inner problem of predicting the…

Systems and Control · Electrical Eng. & Systems 2021-03-29 Laurent Pagnier , Michael Chertkov

The Newton-Raphson (NR) method is widely used for solving power flow (PF) equations due to its quadratic convergence. However, its performance deteriorates under poor initialization or extreme operating scenarios, e.g., high levels of…

Systems and Control · Electrical Eng. & Systems 2025-11-26 Zeynab Kaseb , Matthias Moller , Lindsay Spoor , Jerry J. Guo , Yu Xiang , Peter Palensky , Pedro P. Vergara

Fast and accurate knowledge of power flows and power injections is needed for a variety of applications in the electric grid. Phasor measurement units (PMUs) can be used to directly compute them at high speeds; however, a large number of…

Systems and Control · Electrical Eng. & Systems 2026-02-11 Satyaprajna Sahoo , Anwarul Islam Sifat , Anamitra Pal

Effective power flow (PF) modeling critically affects the solution accuracy and computational complexity of large-scale grid optimization problems. Especially for grid optimization involving flexible topology to enhance resilience,…

Systems and Control · Electrical Eng. & Systems 2025-03-27 Young-ho Cho , Hao Zhu

Non-convex AC optimal power flow (AC-OPF) is a fundamental optimization problem in power system analysis. The computational complexity of conventional solvers is typically high and not suitable for large-scale networks in real-time…

Systems and Control · Electrical Eng. & Systems 2022-12-09 Kejun Chen , Shourya Bose , Yu Zhang

Though the convex optimization has been widely used in power systems, it still cannot guarantee to yield a tight (accurate) solution to some problems. To mitigate this issue, this paper proposes an ensemble learning based convex…

Systems and Control · Electrical Eng. & Systems 2020-05-18 Ren Hu , Qifeng Li , Feng Qiu

To address computational challenges associated with power flow nonconvexities, significant research efforts over the last decade have developed convex relaxations and approximations of optimal power flow (OPF) problems. However, benefits…

Systems and Control · Electrical Eng. & Systems 2023-02-24 Babak Taheri , Daniel K. Molzahn

This paper presents a new method for enhancing Alternating Current Power Flow (ACPF) analysis. The method integrates the Newton-Raphson (NR) method with Enhanced-Gradient Descent (GD) and computational graphs. The integration of renewable…

Optimization and Control · Mathematics 2024-06-18 Masoud Barati

The power flow equations are non-linear multivariate equations that describe the relationship between power injections and bus voltages of electric power networks. Given a network topology, we are interested in finding network parameters…

Machine Learning · Computer Science 2026-03-09 Alperen Ergur , Julia Lindberg , Vinny Miller

Load flow analysis is a fundamental technique used by electrical engineers to simulate and evaluate power system behavior under steady-state conditions. It enables efficient operation and control by determining how active and reactive power…

Systems and Control · Electrical Eng. & Systems 2025-07-15 Sampson E. Nwachukwu

To analyze large sets of grid states, e.g. when evaluating the impact from the uncertainties of the renewable generation with probabilistic Monte Carlo simulation or in stationary time series simulation, large number of power flow…

Computational Engineering, Finance, and Science · Computer Science 2021-04-29 Zhenqi Wang , Sebastian Wende-von Berg , Martin Braun

Power grid operators typically solve large-scale, nonconvex optimal power flow (OPF) problems throughout the day to determine optimal setpoints for generators while adhering to physical constraints. Despite being at the heart of many OPF…

Optimization and Control · Mathematics 2020-11-03 Kyri Baker

We consider a power transmission system monitored with Phasor Measurement Units (PMUs) placed at significant, but not all, nodes of the system. Assuming that a sufficient number of distinct single-line faults, specifically pre-fault state…

Machine Learning · Statistics 2021-04-08 Andrei Afonin , Michael Chertkov

Power flow (PF) calculations are the backbone of real-time grid operations, across workflows such as contingency analysis (where repeated PF evaluations assess grid security under outages) and topology optimization (which involves PF-based…

Machine Learning · Computer Science 2026-04-21 Ana K. Rivera , Anvita Bhagavathula , Alvaro Carbonero , Priya Donti

Probabilistic load forecasting (PLF) is a key component in the extended tool-chain required for efficient management of smart energy grids. Neural networks are widely considered to achieve improved prediction performances, supporting highly…

Signal Processing · Electrical Eng. & Systems 2021-01-12 Alessandro Brusaferri , Matteo Matteucci , Stefano Spinelli , Andrea Vitali

Recently, physics-driven deep learning methods have shown particular promise for the prediction of physical fields, especially to reduce the dependency on large amounts of pre-computed training data. In this work, we target the…

Fluid Dynamics · Physics 2022-10-12 Hao Ma , Yuxuan Zhang , Nils Thuerey , Xiangyu Hu , Oskar J. Haidn

Learning probabilistic surrogates for partial differential equations remains challenging in data-scarce regimes: neural operators require large amounts of high-fidelity data, while generative approaches typically sacrifice resolution…

Computation · Statistics 2025-12-18 Sahil Bhola , Karthik Duraisamy