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In the traditional load flow analysis, a key assumption is that the input variables, i.e., generator output and customer demand, are fixed in time and the associated response has no variability. This assumption, however, is no longer valid…

Signal Processing · Electrical Eng. & Systems 2021-01-20 Brandon Johnson , Nathan L. Gibson , Eduardo Cotilla-Sanchez

We combine concept-based neural networks with generative, flow-based classifiers into a novel, intrinsically explainable, exactly invertible approach to supervised learning. Prototypical neural networks, a type of concept-based neural…

Machine Learning · Computer Science 2024-07-18 Zachariah Carmichael , Timothy Redgrave , Daniel Gonzalez Cedre , Walter J. Scheirer

Power flow analysis plays a critical role in the control and operation of power systems. The high computational burden of traditional solution methods led to a shift towards data-driven approaches, exploiting the availability of digital…

Systems and Control · Electrical Eng. & Systems 2024-09-17 Victor Eeckhout , Hossein Fani , Md Umar Hashmi , Geert Deconinck

From an operational and planning perspective, it is important to quantify the impact of increasing penetration of photovoltaics on the distribution system. Most existing impact assessment studies are scenario-based where derived results are…

Systems and Control · Electrical Eng. & Systems 2021-04-30 Sai Munikoti , Balasubramaniam Natarajan , Kumarsinh Jhala , Kexing Lai

Linear approximation commonly used in solving alternating-current optimal power flow (AC-OPF) simplifies the system models but incurs accumulated voltage errors in large power networks. Such errors will make the primal-dual type gradient…

Optimization and Control · Mathematics 2023-06-08 Heng Liang , Xinyang Zhou , Changhong Zhao

The power flow equations relate bus voltage phasors to power injections via the network admittance matrix. These equations are central to the key operational and protection functions of power systems (e.g., optimal power flow scheduling and…

Systems and Control · Electrical Eng. & Systems 2025-10-21 Samuel Talkington , Daniel Turizo , Sergio A. Dorado-Rojas , Rahul K. Gupta , Daniel K. Molzahn

This paper introduces a new model for highly accurate distribution voltage solutions, coined as a parameterized linear power flow model. The proffered model is grounded on a physical model of linear power flow equations, and uses…

Systems and Control · Electrical Eng. & Systems 2022-11-03 Marija Marković , Bri-Mathias Hodge

Accurate power flow analysis is critical for modern distribution systems, yet classical solvers face scalability issues, and current machine learning models often struggle with generalization. We introduce BOOST-RPF, a novel method that…

Machine Learning · Computer Science 2026-03-24 Ehimare Okoyomon , Christoph Goebel

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

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

Optimal power flow problems (OPFs) are mathematical programs used to determine how to distribute power over networks subject to network operation constraints and the physics of power flows. In this work, we take the view of treating an OPF…

Optimization and Control · Mathematics 2020-03-06 Fengyu Zhou , James Anderson , Steven H. Low

Voltage stability in modern power systems involves coupled dynamics across multiple time scales. Conventional methods based on time-scale separation or static stability margins may overlook instabilities caused by the coupling of slow and…

Systems and Control · Electrical Eng. & Systems 2026-02-17 Naoki Hashima , Hikaru Hoshino , Luis David Pabón Ospina , Eiko Furutani

To limit the probability of unacceptable worst-case linearization errors that might yield risks for power system operations, this letter proposes a robust data-driven linear power flow (RD-LPF) model. It is applicable to both transmission…

Systems and Control · Electrical Eng. & Systems 2021-12-21 Yitong Liu , Zhengshuo Li , Junbo Zhao

Interconnection studies require solving numerous instances of the AC load or power flow (AC PF) problem to simulate diverse scenarios as power systems navigate the ongoing energy transition. To expedite such studies, this work leverages…

Quantum Physics · Physics 2025-09-18 Thinh Viet Le , Md Obaidur Rahman , Vassilis Kekatos

In recent years, there have been a surge in applications of neural networks (NNs) in physical sciences. Although various algorithmic advances have been proposed, there are, thus far, limited number of studies that assess the…

Fluid Dynamics · Physics 2020-12-17 Kai Fukami , Romit Maulik , Nesar Ramachandra , Koji Fukagata , Kunihiko Taira

This paper proposes a Separable Projective Approximation Routine-Optimal Power Flow (SPAR-OPF) framework for solving two-stage stochastic optimization problems in power systems. The framework utilizes a separable piecewise linear…

Systems and Control · Electrical Eng. & Systems 2025-09-25 Shishir Lamichhane , Abodh Poudyal , Nicholas R. Jones , Bala Krishnamoorthy , Anamika Dubey

The rapid growth of large data center loads and inverter-based generation is increasing the stress on transmission networks, while expanding grid capacity at the required pace remains challenging. Power flow controllers (PFCs) that adjust…

Optimization and Control · Mathematics 2025-11-20 Eric Haag , Yuhao Chen , Giri Venkataramanan , Manish K. Singh

This paper presents a new method to determine the susceptances of a reduced transmission network representation by using nonlinear optimization. We use Power Transfer Distribution Factors (PTDFs) to convert the original grid into a reduced…

Systems and Control · Computer Science 2018-09-05 Philipp Fortenbacher , Turhan Demiray , Christian Schaffner

Continuous normalizing flows (CNFs) learn the probability path between a reference distribution and a target distribution by modeling the vector field generating said path using neural networks. Recently, Lipman et al. (2022) introduced a…

Methodology · Statistics 2024-10-29 Alberto Cabezas , Louis Sharrock , Christopher Nemeth

There is currently a paradigm shift in several power system monitoring applications, such as incipient fault detection and monitoring inverter-based resources, to transition from traditional phasor analytics to more informative waveform…

Signal Processing · Electrical Eng. & Systems 2025-05-26 Narges Ehsani , Vishwanath Saragadam , Hamed Mohsenian-Rad