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This paper proposes graph analysis methods to fully automate the fault location identification task in power distribution systems. The proposed methods take basic unordered data from power distribution systems as input, including branch…

Systems and Control · Electrical Eng. & Systems 2025-10-23 Ali Shakeri Kahnamouei , Saeed Lotfifard

The increasing decentralization of power systems driven by a large number of renewable energy sources poses challenges in power flow optimization. Partially unknown power line properties can render model-based approaches unsuitable. With…

Systems and Control · Electrical Eng. & Systems 2025-09-30 Sebastian Otzen , Hannes M. H. Wolf , Christian A. Hans

This two-part paper details a theory of solvability for the power flow equations in lossless power networks. In Part I, we derived a new formulation of the lossless power flow equations, which we term the fixed-point power flow. The model…

Optimization and Control · Mathematics 2017-09-21 John W. Simpson-Porco

This paper presents a cold-start linear branch flow model named modified DistFlow. In modified DistFlow, the active and reactive power are replaced by their ratios to voltage magnitude as state variables, so that errors introduced by…

Systems and Control · Electrical Eng. & Systems 2020-11-30 Tianshu Yang , Ye Guo , Lirong Deng , Hongbin Sun , Wenchuan Wu

The paper proposes a solution an actual scientific problem related to load balancing and efficient utilization of resources of the distributed system. The proposed method is based on calculation of load CPU, memory, and bandwidth by flows…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-04-11 Kirichenko Lyudmyla , Radivilova Tamara

Part II of this paper elaborates on the unique capability of the proposed power flow analysis framework to obtain the true solution corresponding to the stable operating point of a network. It explains the significance of obtaining the true…

Systems and Control · Computer Science 2016-09-06 Sina S. Baghsorkhi , Sergey P. Suetin

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 DC Power Flow approximation has been widely used for decades in both industry and academia due to its computational speed and simplicity, but suffers from inaccuracy, in part due to the assumption of a lossless network. Here we present…

Optimization and Control · Mathematics 2017-09-21 John W. Simpson-Porco

The objective of this paper is to improve the accuracy and robustness of optimal power flow (OPF) formulations for distribution systems modeled down to the low-voltage point of connection of individual buildings. An approach for addressing…

Systems and Control · Electrical Eng. & Systems 2023-10-11 Dakota Hamilton , Loraine Navarro , Dionysios Aliprantis

The load-flow equations are the main tool to operate and plan electrical networks. For transmission or distribution networks these equations can be simplified into a linear system involving the graph Laplacian and the power input vector. We…

Classical Physics · Physics 2019-05-15 J. G. Caputo , A. Knippel , N. Retiere

Solving the non-convex optimal power flow (OPF) problem for large-scale power distribution systems is computationally expensive. An alternative is to solve the relaxed convex problem or linear approximated problem, but these methods lead to…

Systems and Control · Electrical Eng. & Systems 2022-11-09 Rabayet Sadnan , Anamika Dubey

Addressing challenges in urban water infrastructure systems including aging infrastructure, supply uncertainty, extreme events, and security threats, depend highly on water distribution networks modeling emphasizing the importance of…

Optimization and Control · Mathematics 2020-05-20 Shen Wang , Ahmad F. Taha , Lina Sela , Marcio Giacomoni , Nikolaos Gatsis

Power flow in a low voltage direct current grid (LVDC) is a non-linear problem just as its counterpart ac. This paper demonstrates that, unlike in ac grids, convergence and uniqueness of the solution can be guaranteed in this type of grids.…

Optimization and Control · Mathematics 2017-02-06 Alejandro Garces

Managing power grids with the increasing presence of variable renewable energy-based (distributed) generation involves solving high-dimensional optimization tasks at short intervals. Linearizing the AC power flow (PF) constraints is a…

Optimization and Control · Mathematics 2025-09-09 Yuhao Chen , Manish K. Singh

This letter addresses the issue of linearization of quadratic thermal limits of transmission lines for linear OPF formulation. A new irregular polygon based linearization is proposed. The approach is purely based on geometrical concepts and…

Optimization and Control · Mathematics 2024-02-15 Parikshit Pareek , Ashu Verma

In this paper, we formulate the Load Flow (LF) problem in radial electricity distribution networks as an unconstrained Riemannian optimization problem, consisting of two manifolds, and we consider alternative retractions and initialization…

Optimization and Control · Mathematics 2020-04-09 M. Heidarifar , P. Andrianesis , M. C. Caramanis

In this paper, a new method for solving the power flow problem in distribution systems which is fast, parallel, as well as modular, straightforward, simplified and generic is proposed. This approach is based on a hierarchical construction…

Systems and Control · Electrical Eng. & Systems 2023-09-06 Arbel Yaniv , Yuval Beck

In this paper we study the distributions of the number of real solutions to the power flow equations over varying electrical parameters. We introduce a new monodromy and parameter homotopy continuation method for quickly finding all…

Algebraic Geometry · Mathematics 2020-10-08 Julia Lindberg , Alisha Zachariah , Nigel Boston , Bernard C. Lesieutre

Probabilistic load flow (PLF) calculation, as a fundamental tool to analyze transmission system behavior, has been studied for decades. Despite a variety of available methods, existing PLF approaches rarely take system control into account.…

Systems and Control · Electrical Eng. & Systems 2022-03-02 Mengshuo Jia , Qianni Cao , Chen Shen , Gabriela Hug

Balanced steady operation state in power networks changes over time. Traditional power flow algorithm is focused on the steady operation state under a certain time point and calculates the corresponding voltage and power distributions for…

Optimization and Control · Mathematics 2020-01-24 Zongjie Wang , C. Lindsay Anderson