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We use simulation to compare different power flow models in the process of charging electric vehicles (EVs) by considering their random arrivals, their stochastic demand for energy at charging stations, and the characteristics of the…

Optimization and Control · Mathematics 2022-12-08 M. H. M. Christianen , M. Vlasiou , B. Zwart

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 concept of complex frequency has been recently introduced on the IEEE Transactions on Power Systems to study bus voltage variations in magnitude and frequency and their link with complex power injections of a power system. In this…

Systems and Control · Electrical Eng. & Systems 2023-10-31 Ignacio Ponce , Federico Milano

Voltage prediction in distribution grids is a critical yet difficult task for maintaining power system stability. Machine learning approaches, particularly Graph Neural Networks (GNNs), offer significant speedups but suffer from poor…

Machine Learning · Computer Science 2025-12-09 Ehimare Okoyomon , Arbel Yaniv , Christoph Goebel

Significant progress in the construction of physical hardware for quantum computers has necessitated the development of new algorithms or protocols for the application of real-world problems on quantum computers. One of these problems is…

Quantum Physics · Physics 2023-07-25 Ekin Erdem Aygül , Melih Can Topal , Ufuk Korkmaz , Deniz Türkpençe

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

Motivated by the need for accurate frequency information, a novel algorithm for estimating the fundamental frequency and its rate of change in three-phase power systems is developed. This is achieved through two stages of Kalman filtering.…

Machine Learning · Statistics 2016-03-10 Sayed Pouria Talebi , Danilo P. Mandic

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

The reliable operation of a power distribution system relies on a good prior knowledge of its topology and its system state. Although crucial, due to the lack of direct monitoring devices on the switch statuses, the topology information is…

Systems and Control · Electrical Eng. & Systems 2021-10-19 Yijun Xu , Jaber Valinejad , Mert Korkali , Lamine Mili , Yajun Wang , Xiao Chen , Zongsheng Zheng

We study the optimal power flow problem with switching (or, equivalently, the line expansion problem) under demand uncertainty. Specifically, we consider the line-use variables at the first stage and the current- or power-flow at the second…

Optimization and Control · Mathematics 2016-01-26 Jakub Marecek , Adam Ouorou , Guanglei Wang

It is demonstrated that power-laws which are modified by logarithmic corrections arise in supercorrelated systems. Their characteristic feature is the energy attributed to a state (or value of a general cost function) which depends…

Statistical Mechanics · Physics 2009-11-10 H. -T. Elze , T. Kodama

This work introduces the category of Power System Transition Planning optimization problem. It aims to shift power systems to emissions-free networks efficiently. Unlike comparable work, the framework presented here broadly applies to the…

Systems and Control · Electrical Eng. & Systems 2025-05-05 Ahmed Al-Shafei , Nima Amjady , Hamidreza Zareipour , Yankai Cao

The classical phase-field modeling approaches for multiphase problems represent each phase using a regularized characteristic function, which necessarily introduces a simplex constraint for the phase-field variables. Additionally, the…

Numerical Analysis · Mathematics 2025-11-11 Lun Zhang , Chenxi Wang , Nan Lu , Zhen Zhang

This work provides a design method for achieving a specified level of stability for inverter-based interconnected distributed generation. The stability of parallel connected distributed energy resources determined from a linearized…

Systems and Control · Computer Science 2016-11-17 Mahmood Saadeh , Roy McCann

Secondary distribution networks (SDNets) play an increasingly important role in smart grids due to a high proliferation of distributed energy resources (DERs) in SDNets. However, most existing optimal power flow (OPF) problems do not take…

Systems and Control · Electrical Eng. & Systems 2024-04-23 Rui Cheng , Naihao Shi , Zhaoyu Wang , Zixiao Ma

Wholesale power markets often use linear approximations of power system constraints. Because it does not consider inequality constraints, using AC power flow for feasibility post-processing can violate bounds on reactive power, voltage…

Systems and Control · Electrical Eng. & Systems 2025-11-13 Anna Van Boven , Kyri Baker

A major concern in modern power systems is that the popularity and fluctuating characteristics of renewable energy may cause more and more transmission congestion events. Traditional congestion management modeling involves AC or DC power…

Systems and Control · Electrical Eng. & Systems 2022-12-27 Shutong Pu , Guangchun Ruan , Xinfei Yan , Haiwang Zhong

This paper centers on the comparison of three different models that describe cascading failures of power systems. Specifically, these models are different in characterizing the physical properties of power networks and computing the branch…

Optimization and Control · Mathematics 2017-08-01 Chao Zhai , Hehong Zhang , Gaoxi Xiao , Tso-Chien Pan

Consumers with low demand, like households, are generally supplied single-phase power by connecting their service mains to one of the phases of a distribution transformer. The distribution companies face the problem of keeping a record of…

Machine Learning · Computer Science 2016-06-08 P Satya Jayadev , Aravind Rajeswaran , Nirav P Bhatt , Ramkrishna Pasumarthy

The optimal power flow (OPF) problem is funda- mental in power distribution networks control and operation that underlies many important applications such as volt/var control and demand response, etc.. Large-scale highly volatile renewable…

Optimization and Control · Mathematics 2015-12-22 Qiuyu Peng , Steven Low