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Most power systems' approaches are currently tending towards stochastic and probabilistic methods due to the high variability of renewable sources and the stochastic nature of loads. Conventional power flow (PF) approaches such as…

Systems and Control · Electrical Eng. & Systems 2024-01-17 Deepak Tiwari , Mehdi Jabbari Zideh , Veeru Talreja , Vishal Verma , Sarika K. Solanki , Jignesh Solanki

Solving the AC optimal power flow problem (AC-OPF) is critical to the efficient and safe planning and operation of power grids. Small efficiency improvements in this domain have the potential to lead to billions of dollars of cost savings,…

The Optimal Power Flow (OPF) problem is pivotal for power system operations, guiding generator output and power distribution to meet demand at minimized costs, while adhering to physical and engineering constraints. The integration of…

Machine Learning · Computer Science 2023-11-27 Chen Li , Alexander Kies , Kai Zhou , Markus Schlott , Omar El Sayed , Mariia Bilousova , Horst Stoecker

We present a massively parallel solver that accelerates DC loadflow computations for power grid topology optimization tasks. Our approach leverages low-rank updates of the Power Transfer Distribution Factors (PTDFs) to represent substation…

Systems and Control · Electrical Eng. & Systems 2025-01-30 Nico Westerbeck , Joost van Dijk , Jan Viebahn , Christian Merz , Dirk Witthaut

Power flow (PF) calculations are fundamental to power system analysis to ensure stable and reliable grid operation. The Newton-Raphson (NR) method is commonly used for PF analysis due to its rapid convergence when initialized properly.…

Building on the theoretical insights of Part I, this paper, as the second part of the tutorial, dives deeper into data-driven power flow linearization (DPFL), focusing on comprehensive numerical testing. The necessity of these simulations…

Systems and Control · Electrical Eng. & Systems 2024-06-12 Mengshuo Jia , Gabriela Hug , Ning Zhang , Zhaojian Wang , Yi Wang , Chongqing Kang

The power flow (PF) problem is a fundamental problem in power system engineering. Many popular solvers face challenges, such as convergence issues. One can try to rewrite the PF problem into a fixed point equation, which can be solved…

Optimization and Control · Mathematics 2019-09-17 Kishan Prudhvi Guddanti , Yang Weng , Baosen Zhang

With increasing smart grid direct current (DC) deployments in distribution feeders, microgrids, buildings, and high-voltage transmission, there is a need for better understanding the landscape of power flow (PF) solutions as well as for…

Optimization and Control · Mathematics 2019-07-11 Sina Taheri , Vassilis Kekatos

Power flow analysis is used to evaluate the flow of electricity in the power system network. Power flow calculation is used to determine the steady-state variables of the system, such as the voltage magnitude/phase angle of each bus and the…

Systems and Control · Electrical Eng. & Systems 2022-05-24 Thuan Pham , Xingpeng Li

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

Solving power flow (PF) equations is the basis of power flow analysis, which is important in determining the best operation of existing systems, performing security analysis, etc. However, PF equations can be out-of-date or even unavailable…

Machine Learning · Computer Science 2021-01-07 Xinyue Hu , Haoji Hu , Saurabh Verma , Zhi-Li Zhang

The linearization of a power flow (PF) model is an important approach for simplifying and accelerating the calculation of a power system's control, operation, and optimization. Traditional model-based methods derive linearized PF models by…

Systems and Control · Computer Science 2017-10-31 Yuxiao Liu , Ning Zhang , Yi Wang , Jingwei Yang , Chongqing Kang

Accurate and efficient power flow (PF) analysis is crucial in modern electrical networks' operation and planning. Therefore, there is a need for scalable algorithms that can provide accurate and fast solutions for both small and large scale…

Machine Learning · Computer Science 2024-02-14 Nan Lin , Stavros Orfanoudakis , Nathan Ordonez Cardenas , Juan S. Giraldo , Pedro P. Vergara

We introduce gridfm-datakit-v1, a Python library for generating realistic and diverse Power Flow (PF) and Optimal Power Flow (OPF) datasets for training Machine Learning (ML) solvers. Existing datasets and libraries face three main…

In this paper, we present two multidimensional power flow formulations based on a fixed-point iteration (FPI) algorithm to efficiently solve hundreds of thousands of power flows in distribution systems. The presented algorithms are the base…

Systems and Control · Electrical Eng. & Systems 2024-03-08 Edgar Mauricio Salazar Duque , Juan S. Giraldo , Pedro P. Vergara , Phuong H. Nguyen , Han , Slootweg

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

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

The operation of large-scale power systems is usually scheduled ahead via numerical optimization. However, this requires models of grid topology, line parameters, and bus specifications. Classic approaches first identify the network…

Systems and Control · Electrical Eng. & Systems 2025-02-04 Oleksii Molodchyk , Philipp Schmitz , Alexander Engelmann , Karl Worthmann , Timm Faulwasser

We propose a multi-fidelity neural network (MFNN) tailored for rapid high-dimensional grid power flow simulations and contingency analysis with scarce high-fidelity contingency data. The proposed model comprises two networks -- the first…

Machine Learning · Computer Science 2022-05-27 Sam Yang , Bjorn Vaagensmith , Deepika Patra , Ryan Hruska , Tyler Phillips

Fast and reliable optimal power flow (OPF) approximation is essential for reliable smart-grid operation, yet many learning-based surrogates either flatten the native heterogeneous structure of power networks, target a limited set of grid…

Machine Learning · Computer Science 2026-05-25 Massimiliano Lupo Pasini , Yijiang Li , Kibaek Kim , Teja Kuruganti
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