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We present a systematic comparison between neural network (NN) architectures for inference of AC-OPF solutions. Using fully connected NNs as a baseline we demonstrate the efficacy of leveraging network topology in the models by constructing…

Machine Learning · Computer Science 2020-12-02 Thomas Falconer , Letif Mones

The effective management of stochastic characteristics of renewable power generations is vital for ensuring the stable and secure operation of power systems. This paper addresses the task of optimizing the chance-constrained…

Systems and Control · Electrical Eng. & Systems 2024-01-05 Yuanxi Wu , Zhi Wu , Yijun Xu , Huan Long , Wei Gu , Shu Zheng , Jingtao Zhao

Fast convergent, accurate, computationally efficient, parallelizable, and robust matrix inversion and parameter estimation algorithms are required in many time-critical and accuracy-critical applications such as system identification,…

Optimization and Control · Mathematics 2020-08-27 Alexander Stotsky

Robust simulation is essential for reliable operation and planning of transmission and distribution power grids. At present, disparate methods exist for steady-state analysis of the transmission (power flow) and distribution power grid…

Signal Processing · Electrical Eng. & Systems 2018-08-10 Amritanshu Pandey , Marko Jereminov , Martin R. Wagner , David M. Bromberg , Gabriela Hug , Larry Pileggi

Optimal power flow (OPF) is the central optimization problem in electric power grids. Although solved routinely in the course of power grid operations, it is known to be strongly NP-hard in general, and weakly NP-hard over tree networks. In…

Systems and Control · Computer Science 2016-06-22 Krishnamurthy Dvijotham , Pascal Van Hentenryck , Michael Chertkov , Sidhant Misra , Marc Vuffray

We propose Alternating Phase-Field Fourier Neural Networks (APF-FNNs) as a unified and physics-based framework for topology optimization. The approach decouples the design problem by representing the state, adjoint, and topology fields with…

Optimization and Control · Mathematics 2026-01-27 Jing Li , Xindi Hu , Helin Gong , Wei Gong , Shengfeng Zhu

Power system networks are often modeled as homogeneous graphs, which limits the ability of graph neural network (GNN) to capture individual generator features at the same nodes. By introducing the proposed virtual node-splitting strategy,…

Systems and Control · Electrical Eng. & Systems 2025-07-22 Thuan Pham , Xingpeng Li

The transition away from carbon-based energy sources poses several challenges for the operation of electricity distribution systems. Increasing shares of distributed energy resources (e.g. renewable energy generators, electric vehicles) and…

Machine Learning · Computer Science 2021-03-15 Francesco Fusco , Bradley Eck , Robert Gormally , Mark Purcell , Seshu Tirupathi

In finance, implied volatility is an important indicator that reflects the market situation immediately. Many practitioners estimate volatility using iteration methods, such as the Newton--Raphson (NR) method. However, if numerous implied…

Computational Finance · Quantitative Finance 2022-10-31 Geon Lee , Tae-Kyoung Kim , Hyun-Gyoon Kim , Jeonggyu Huh

Renewable energy resources (RERs) have been increasingly integrated into large-scale distributed power systems. Considering uncertainties and voltage fluctuation issues introduced by RERs, in this paper, we propose a deep reinforcement…

Machine Learning · Computer Science 2022-08-08 Jinhao Li , Ruichang Zhang , Hao Wang , Zhi Liu , Hongyang Lai , Yanru Zhang

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

Existing algorithms to solve alternating-current optimal power flow (AC-OPF) often exploit linear approximations to simplify system models and accelerate computations. In this paper, we improve a recent hierarchical OPF algorithm, which…

Optimization and Control · Mathematics 2023-02-09 Heng Liang , Xinyang Zhou , Changhong Zhao

Graph Neural Networks have recently become a prevailing paradigm for various high-impact graph analytical problems. Existing efforts can be mainly categorized as spectral-based and spatial-based methods. The major challenge for the former…

Machine Learning · Computer Science 2022-02-22 Yushun Dong , Kaize Ding , Brian Jalaian , Shuiwang Ji , Jundong Li

Alternating Current Optimal Power Flow (AC-OPF) aims to optimize generator power outputs by utilizing the non-linear relationships between voltage magnitudes and phase angles in a power system. However, current AC-OPF solvers struggle to…

Machine Learning · Computer Science 2025-06-03 Hongjie Zhu , Zezheng Zhang , Zeyu Zhang , Yu Bai , Shimin Wen , Huazhang Wang , Daji Ergu , Ying Cai , Yang Zhao

In this paper, we study efficient and robust computational methods for solving the security-constrained alternating current optimal power flow (SC-ACOPF) problem, a two-stage nonlinear optimization problem with disjunctive constraints, that…

Optimization and Control · Mathematics 2023-08-11 Amin Gholami , Kaizhao Sun , Shixuan Zhang , Xu Andy Sun

Alternative current optimal power flow (ACOPF) problems have been studied for over fifty years, and yet the development of an optimal algorithm to solve them remains a hot and challenging topic for researchers because of their nonlinear and…

Optimization and Control · Mathematics 2024-06-18 Meng Zhao , Masoud Barati

With an increasing high penetration of solar photovoltaic generation in electric power grids, voltage phasors and branch power flows experience more severe fluctuations. In this context, probabilistic power flow (PPF) study aims at…

Systems and Control · Electrical Eng. & Systems 2022-05-03 Kejun Chen , Yu Zhang

Graphs are ubiquitous in many applications, such as social networks, knowledge graphs, smart grids, etc.. Graph neural networks (GNN) are the current state-of-the-art for these applications, and yet remain obscure to humans. Explaining the…

Machine Learning · Computer Science 2021-11-22 Yazheng Liu , Xi Zhang , Sihong Xie

Power grids are critical infrastructures of paramount importance to modern society and their rapid evolution and interconnections has heightened the complexity of power systems (PS) operations. Traditional methods for grid analysis struggle…

Machine Learning · Computer Science 2024-07-18 Salah Ghamizi , Aleksandar Bojchevski , Aoxiang Ma , Jun Cao

The Gaussian Process (GP) based Chance-Constrained Optimal Power Flow (CC-OPF) is an open-source Python code developed for solving economic dispatch (ED) problem in modern power grids. In recent years, integrating a significant amount of…

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