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Related papers: Load-Flow in Multiphase Distribution Networks: Exi…

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This paper addresses the problem of voltage regulation in power distribution networks with deep-penetration of distributed energy resources, e.g., renewable-based generation, and storage-capable loads such as plug-in hybrid electric…

Optimization and Control · Mathematics 2015-02-10 Baosen Zhang , Albert Y. S. Lam , Alejandro Dominguez-Garcia , David Tse

The Holomorphic Embedding Load flow Method (HELM) employs complex analysis to solve the load flow problem. It guarantees finding the correct solution when it exists, and identifying when a solution does not exist. The method, however, is…

Optimization and Control · Mathematics 2020-02-27 Majid Heidarifar , Panagiotis Andrianesis , Michael Caramanis

Recent development of techniques that improve the convergence properties of power flow simulation have been demonstrated to facilitate scaling to large system sizes (80k+ buses). However, the problem remains to reliably identify cases that…

Signal Processing · Electrical Eng. & Systems 2019-12-10 Marko Jereminov , David M. Bromberg , Amritanshu Pandey , Martin R. Wagner , Larry Pileggi

In this paper, we propose a model for evaluating the transmission performance of multipath transport. Previous researches focused exclusively on single pair users in simple scenarios. The distinct perspective in this paper is to build…

Networking and Internet Architecture · Computer Science 2013-06-19 Chang Liu , Fei Song , Huan Yan , Sidong Zhang

To support operations and passenger-facing services, transit agencies need reliable passenger load trajectories. Currently, load estimates are typically inferred from imperfect sensing systems rather than fully observed, and the accuracy of…

Machine Learning · Computer Science 2026-05-20 Yiyao Xu , Hao Zhou , Yuhang Wang , Jingran Sun

Randomized load balancing networks arise in a variety of applications, and allow for efficient sharing of resources, while being relatively easy to implement. We consider a network of parallel queues in which incoming jobs with independent…

Probability · Mathematics 2017-10-13 Reza Aghajani , Kavita Ramanan

This paper presents an extensive multi-period optimal power flow framework, with new modelling elements, for smart LV distribution systems that rely on residential flexibility for combating operational issues. A detailed performance…

Systems and Control · Electrical Eng. & Systems 2021-02-26 Iason-Iraklis Avramidis , Florin Capitanescu , Geert Deconinck

Distribution grid is the medium and low voltage part of a large power system. Structurally, the majority of distribution networks operate radially, such that energized lines form a collection of trees, i.e. forest, with a substation being…

Systems and Control · Computer Science 2018-07-12 Deepjyoti Deka , Michael Chertkov , Scott Backhaus

In this paper we propose and demonstrate the potential for unifying models and algorithms for the steady state and transient simulation of single-phase and three-phase power systems. At present, disparate algorithms and models are used for…

Signal Processing · Electrical Eng. & Systems 2018-08-14 Amritanshu Pandey , Marko Jereminov , Xin Li , Gabriela Hug , Larry Pileggi

A new class of probabilistic models for cascading failure propagation in interconnected systems is proposed. The models take into account important characteristics of real systems that are not considered in existing generic approaches.…

Disordered Systems and Neural Networks · Physics 2010-03-31 Jörg Lehmann , Jakob Bernasconi

The ability of Flow Matching (FM) to model complex conditional distributions has established it as the state-of-the-art for prediction tasks (e.g., robotics, weather forecasting). However, deployment in safety-critical settings is hindered…

Machine Learning · Computer Science 2026-02-16 Constantinos Tsakonas , Serena Ivaldi , Jean-Baptiste Mouret

Load balancing algorithms play critical roles in systems where the workload has to be distributed across multiple resources, such as cores in multiprocessor system, computers in distributed computing, and network links. In this paper, we…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-10-20 Shafinaz Islam

Motivated by a mathematical model for the transport of morphogenes in biological systems, we study existence and uniqueness of entropy solutions for a mixed initial-boundary value problem associated with a nonlinear flux--limited diffusion…

Analysis of PDEs · Mathematics 2012-06-01 Fuensanta Andreu , Juan Calvo , José M. Mazón , Juan Soler

The dynamic load balancing algorithm based on the monitoring server load, self-similar characteristics of passing traffic have to provide a statistically uniform load distribution on servers, high performance, fault tolerance and capacity,…

Networking and Internet Architecture · Computer Science 2019-04-22 Lyudmila Kirichenko , Igor Ivanisenko , Tamara Radivilova

The transport of single-phase fluid mixtures in porous media is described by cross-diffusion equations for the mass densities. The equations are obtained in a thermodynamic consistent way from mass balance, Darcy's law, and the van der…

Analysis of PDEs · Mathematics 2016-12-14 Ansgar Jüngel , Jiří Mikyška , Nicola Zamponi

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

Existence and uniqueness are investigated for a nonlinear diffusion problem of phase-field type, consisting of a parabolic system of two partial differential equations, complemented by Neumann homogeneous boundary conditions and initial…

Analysis of PDEs · Mathematics 2012-09-17 Pierluigi Colli , Gianni Gilardi , Paolo Podio-Guidugli , Jürgen Sprekels

Efficient load forecasting is needed to ensure better observability in the distribution networks, whereas such forecasting is made possible by an increasing number of smart meter installations. Because distribution networks include a large…

Machine Learning · Computer Science 2022-04-04 Miha Grabner , Yi Wang , Qingsong Wen , Boštjan Blažič , Vitomir Štruc

The method of flow tracing follows the power flow from net-generating sources through the network to the net-consuming sinks, which allows to assign the usage of the underlying transmission infrastructure to the system participants. This…

Physics and Society · Physics 2017-11-09 Jonas Hörsch , Mirko Schäfer , Sarah Becker , Stefan Schramm , Martin Greiner

Load balancing between adjacent base stations (BSs) is important for balancing load distributions and improving service provisioning. Whilst load balancing between any given pair of BSs is beneficial, cascade load sharing can cause network…

Networking and Internet Architecture · Computer Science 2019-02-27 Giannis Moutsinas , Weisi Guo