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Many modern datacenter applications involve large-scale computations composed of multiple data flows that need to be completed over a shared set of distributed resources. Such a computation completes when all of its flows complete. A useful…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-03-12 Hamidreza Jahanjou , Erez Kantor , Rajmohan Rajaraman

Cascading failures in power systems normally occur as a result of initial disturbance or faults on electrical elements, closely followed by errors of human operators. It remains a great challenge to systematically trace the source of…

Systems and Control · Computer Science 2017-03-16 Chao Zhai , Hehong Zhang , Gaoxi Xiao , Tso-Chien Pan

We formulate the optimal flow problem in a multi-area integrated electrical and gas system as a mixed-integer optimization problem by approximating the non-linear gas flows with piece-wise affine functions, thus resulting in a set of…

Optimization and Control · Mathematics 2022-09-13 Wicak Ananduta , Sergio Grammatico

The AC Optimal Power Flow (AC-OPF) problem is central to power system operation but challenging to solve efficiently due to its nonconvex and nonlinear nature. Neural networks (NNs) offer fast surrogates, yet their black-box behavior raises…

Systems and Control · Electrical Eng. & Systems 2025-11-04 Bastien Giraud , Rahul Nellikath , Johanna Vorwerk , Maad Alowaifeer , Spyros Chatzivasileiadis

Power flow analysis is a fundamental tool for power system analysis, planning, and operational control. Traditional Newton-Raphson methods suffer from limitations such as initial value sensitivity and low efficiency in batch computation,…

Systems and Control · Electrical Eng. & Systems 2025-12-02 Xuezhi Liu

Optimal power flow (OPF) is considered for microgrids, with the objective of minimizing either the power distribution losses, or, the cost of power drawn from the substation and supplied by distributed generation (DG) units, while effecting…

Optimization and Control · Mathematics 2016-11-17 Emiliano Dall'Anese , Hao Zhu , Georgios B. Giannakis

Proper traffic simulation of electric vehicles, which draw energy from overhead wires, requires adequate modeling of traction infrastructure. Such vehicles include trains, trams or trolleybuses. Since the requested power demands depend on a…

Optimization and Control · Mathematics 2020-10-08 Jakub Ševčík , Lukáš Adam , Jan Přikryl , Václav Šmídl

Learning-based approaches are increasingly leveraged to manage and coordinate the operation of grid-edge resources in active power distribution networks. Among these, model-based techniques stand out for their superior data efficiency and…

Systems and Control · Electrical Eng. & Systems 2025-05-01 Daniel Glover , Parikshit Pareek , Deepjyoti Deka , Anamika Dubey

Linear active-power-only DC power flow approximations are pervasive in the planning and control of power systems. However, these approximations fail to capture reactive power and voltage magnitudes, both of which are necessary in many…

Artificial Intelligence · Computer Science 2013-08-07 Carleton Coffrin , Pascal Van Hentenryck

Topology optimization is a promising approach for mitigating congestion and managing changing grid conditions, but it is computationally challenging and requires approximations. Conventional distribution factors like PTDFs and LODFs, based…

Optimization and Control · Mathematics 2026-03-19 Maurizio Titz , Dirk Witthaut , Joost van Dijk , Benjamin Petrick , Nico Westerbeck

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

It is well-known that optimizing network topology by switching on and off transmission lines improves the efficiency of power delivery in electrical networks. In fact, the USA Energy Policy Act of 2005 (Section 1223) states that the U.S.…

Optimization and Control · Mathematics 2017-06-14 Burak Kocuk , Hyemin Jeon , Santanu S. Dey , Jeff Linderoth , James Luedtke , Andy Sun

Parameter design is significant in ensuring a satisfactory holistic performance of power converters. Generally, circuit parameter design for power converters consists of two processes: analysis and deduction process and optimization…

Signal Processing · Electrical Eng. & Systems 2023-08-14 X. Li , X. Zhang , F. Lin , F. Blaabjerg

Accurate modeling of power flow behavior is essential for a wide range of power system applications, yet the nonlinear and nonconvex structure of the underlying equations often limits their direct use in large-scale optimization problems.…

Systems and Control · Electrical Eng. & Systems 2026-03-17 Paprapee Buason , Sidhant Misra , Daniel K. Molzahn

This paper proposes a graph computation based sequential power flow calculation method for Line Commutated Converter (LCC) based large-scale AC/DC systems to achieve a high computing performance. Based on the graph theory, the complex AC/DC…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-02-28 Wei Feng , Jingjin Wu , Chen Yuan , Guangyi Liu , Renchang Dai , Qingxin Shi , Fangxing Li

This paper presents a tensor-recovery method to solve probabilistic power flow problems. Our approach generates a high-dimensional and sparse generalized polynomial-chaos expansion that provides useful statistical information. The result…

Computational Engineering, Finance, and Science · Computer Science 2015-08-12 Zheng Zhang , Hung Dinh Nguyen , Konstantin Turitsyn , Luca Daniel

This paper proposes a novel approach using Graph Neural Networks (GNNs) to solve the AC Power Flow problem in power grids. AC OPF is essential for minimizing generation costs while meeting the operational constraints of the grid.…

Systems and Control · Electrical Eng. & Systems 2025-02-11 Seyedamirhossein Talebi , Kaixiong Zhou

Assuming power travels instantaneously, can be steered by us, and is lost quadratically in each power line, the dynamic optimal power flow problem simplifies to a min-cost dynamic generalized flow with quadratic losses (MCDGFWQL) problem.…

Optimization and Control · Mathematics 2024-04-08 Jacob H. Rothschild

Designing robust algorithms for the optimal power flow (OPF) problem is critical for the control of large-scale power systems under uncertainty. The chance-constrained OPF (CCOPF) problem provides a natural formulation of the trade-off…

Optimization and Control · Mathematics 2025-01-23 Eli Brock , Haixiang Zhang , Javad Lavaei , Somayeh Sojoudi

High penetration of renewable generation poses great challenge to power system operation due to its uncertain nature. In droop-controlled microgrids, the voltage volatility induced by renewable uncertainties is aggravated by the high droop…

Systems and Control · Electrical Eng. & Systems 2020-11-02 Tianlun Chen , David J. Hill , Yue Song , Albert Y. S. Lam
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