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Power Transfer Distribution Factors (PTDFs) play a crucial role in power grid security analysis, planning, and redispatch. Fast calculation of the PTDFs is therefore of great importance. In this paper, we present a non-approximative dual…

Systems and Control · Computer Science 2016-07-27 Henrik Ronellenfitsch , Marc Timme , Dirk Witthaut

Efficiently solving large-scale optimal power flow (OPF) problems is challenging due to the high dimensionality and interconnectivity of modern power systems. Decomposition methods offer a promising solution via partitioning large problems…

Optimization and Control · Mathematics 2025-12-30 Mohannad Alkhraijah , Devon Sigler , Daniel K. Molzahn

In this paper, a novel non-intrusive probabilistic power flow (PPF) analysis method based on the low-rank approximation (LRA) is proposed, which can accurately and efficiently estimate the probabilistic characteristics (e.g., mean,…

Signal Processing · Electrical Eng. & Systems 2019-02-05 Hao Sheng , Xiaozhe Wang

The numerical flow iteration method has recently been proposed as a memory-slim solution method for the Vlasov--Poisson system. It stores the temporal evolution of the electric field and reconstructs the solution in each time step by…

Numerical Analysis · Mathematics 2025-10-13 Rostislav-Paul Wilhelm , Katharina Kormann

Power distribution systems are experiencing a large-scale integration of Converter-Interfaced Distributed Energy Resources (CIDERs). This complicates the analysis and mitigation of harmonics, whose creation and propagation are facilitated…

Systems and Control · Electrical Eng. & Systems 2021-11-02 Andreas Martin Kettner , Lorenzo Reyes-Chamorro , Johanna Kristin Maria Becker , Zhixiang Zou , Marco Liserre , Mario Paolone

The nonlinear programming (NLP) problem to solve distribution-level optimal power flow (D-OPF) poses convergence issues and does not scale well for unbalanced distribution systems. The existing scalable D-OPF algorithms either use…

Optimization and Control · Mathematics 2021-03-02 Rahul Ranjan Jha , Anamika Dubey

The coordination of prosumer-owned, behind-the-meter distributed energy resources (DER) can be achieved using a multiperiod, distributed optimal power flow (DOPF), which satisfies network constraints and preserves the privacy of prosumers.…

Computational Engineering, Finance, and Science · Computer Science 2022-03-10 Daniel Gebbran , Sleiman Mhanna , Archie C. Chapman , Wibowo Hardjawana , Branka Vucetic , Gregor Verbic

Numerical simulations can help solve complex problems. Most of these algorithms are massively parallel and thus good candidates for FPGA acceleration thanks to spatial parallelism. Modern FPGA devices can leverage high-bandwidth memory…

Hardware Architecture · Computer Science 2022-11-09 Stephanie Soldavini , Karl F. A. Friebel , Mattia Tibaldi , Gerald Hempel , Jeronimo Castrillon , Christian Pilato

Manufacturers have been developing new graphics processing unit (GPU) nodes with large capacity, high bandwidth memory and very high bandwidth intra-node interconnects. This enables moving large amounts of data between GPUs on the same node…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-11-29 Mino Woo , Terry Jordan , Tarak Nandi , Jean Francois Dietiker , Christopher Guenther , Dirk Van Essendelft

Tensor analytics lays mathematical basis for the prosperous promotion of multiway signal processing. To increase computing throughput, mainstream processors transform tensor convolutions to matrix multiplications to enhance parallelism of…

Emerging Technologies · Computer Science 2023-01-11 Shaofu Xu , Jing Wang , Sicheng Yi , Weiwen Zou

The solution to an optimal power flow (OPF) problem provides a minimum cost operating point for an electric power system. The performance of OPF solution techniques strongly depends on the problem's feasible space. This paper presents an…

Optimization and Control · Mathematics 2016-08-03 Daniel K. Molzahn

TensorFlow is a popular cloud computing framework that targets machine learning applications. It separates the specification of application logic (in a dataflow graph) from the execution of the logic. TensorFlow's native runtime executes…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-08-27 Sam Whitlock , James Larus , Edouard Bugnion

Predicting the dynamics of turbulent fluid flows has long been a central goal of science and engineering. Yet, even with modern computing technology, accurate simulation of all but the simplest turbulent flow-fields remains impossible: the…

Fluid Dynamics · Physics 2025-01-30 Nikita Gourianov , Peyman Givi , Dieter Jaksch , Stephen B. Pope

We propose the tensorizing flow method for estimating high-dimensional probability density functions from the observed data. The method is based on tensor-train and flow-based generative modeling. Our method first efficiently constructs an…

Machine Learning · Computer Science 2022-12-02 Yinuo Ren , Hongli Zhao , Yuehaw Khoo , Lexing Ying

This paper proposes a quasi-optimal power flow (OPF) algorithm for flexible DC traction power systems (TPSs). Near-optimal solutions can be solved with high computational efficiency by the proposed quasi-OPF. Unlike conventional OPF…

Systems and Control · Electrical Eng. & Systems 2022-11-08 Zhanhe Li , Xiaoqian Li , Yingdong Wei , Chao Lu , Xuelian Bai

For optimal power flow problems with chance constraints, a particularly effective method is based on a fixed point iteration applied to a sequence of deterministic power flow problems. However, a priori, the convergence of such an approach…

Optimization and Control · Mathematics 2023-12-13 Johannes J. Brust , Mihai Anitescu

Power flow calculation in EMS is required to accommodate a large and complex power system. To achieve a faster than real-time calculation, a graph based power flow calculation is proposed in this paper. Graph database and graph computing…

Signal Processing · Electrical Eng. & Systems 2018-11-07 Junjie Shi , Guangyi Liu , Renchang Dai , Jingjin Wu , Chen Yuan , Zhiwei Wang

Machine Learning and Data Mining (MLDM) algorithms are becoming increasingly important in analyzing large volume of data generated by simulations, experiments and mobile devices. With increasing data volume, distributed memory systems (such…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-08-21 Abhinav Vishnu , Charles Siegel , Jeffrey Daily

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

Tensor decomposition plays a key role in identifying common features across a collection of matrices in many areas of science. A fundamental need in big data research is to process data tabulated as large-scale matrices using eigenvectors.…

Computational Engineering, Finance, and Science · Computer Science 2016-05-24 HyungSeon Oh