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We study the load distribution in weighted networks by measuring the effective number of optimal paths passing through a given vertex. The optimal path, along which the total cost is minimum, crucially depend on the cost distribution…

Statistical Mechanics · Physics 2009-11-10 K. -I. Goh , J. D. Noh , B. Kahng , D. Kim

Energy systems resilience is becoming increasingly important as the frequency of major grid outages increases. In this work, we present a methodology to optimize a behind-the-meter distributed energy resource system to sustain a site's…

Systems and Control · Electrical Eng. & Systems 2021-06-29 Sakshi Mishra , Kate Anderson

Distribution power systems (DPSs) are mostly unbalanced, and their loads may have notable static voltage characteristics (ZIP loads). Hence, despite abundant papers on linear single-phase power flow models, it is still necessary to study…

Systems and Control · Electrical Eng. & Systems 2021-03-19 Yitong Liu , Zhengshuo Li , Yu Zhou

Interconnection studies for distributed energy resources (DERs) can currently take months since they entail simulating a large number of power flow scenarios. If DERs are to be actively controlled, probabilistic hosting capacity analysis…

Optimization and Control · Mathematics 2020-09-30 Sina Taheri , Mana Jalali , Vassilis Kekatos , Lang Tong

Rapid increase of renewable energy sources and electric vehicles in utility distribution feeders introduces more and more uncertainties. To investigate how such uncertainties may affect the available delivery capability (ADC) of the…

Signal Processing · Electrical Eng. & Systems 2017-12-05 Hao Sheng , Xiaozhe Wang

We propose a novel machine learning approach for probabilistic forecasting of hourly day-ahead electricity prices. In contrast with the recent advances in data-rich probabilistic forecasting, which approximates distributions with few…

General Economics · Economics 2025-07-04 Jozef Barunik , Lubos Hanus

Distributed Energy Resources (DERs) can provide balancing services to the grid, but their power variations might cause voltage and current constraint violations in the distribution network, compromising network safety. This could be avoided…

Systems and Control · Electrical Eng. & Systems 2023-01-16 Sunho Jang , Necmiye Ozay , Johanna L Mathieu

Considering the increasing penetration of renewable energy sources and electrical vehicles in utility distribution feeders, it is imperative to study the impacts of the resulting increasing uncertainty on the delivery capability of a…

Signal Processing · Electrical Eng. & Systems 2018-04-11 Hao Sheng , Xiaozhe Wang

State estimation allows to monitor power networks, exploiting field measurements to derive the most likely grid state. In the literature, measurement errors are usually assumed to follow zero-mean Gaussian distributions; however, it has…

Systems and Control · Electrical Eng. & Systems 2023-03-07 Marta Vanin , Tom Van Acker , Reinhilde D'hulst , Dirk Van Hertem

A distribution system can flexibly adjust its substation-level power output by aggregating its local distributed energy resources (DERs). Due to DER and network constraints, characterizing the exact feasible power output region is…

Optimization and Control · Mathematics 2023-10-10 Qi Li , Jianzhe Liu , Bai Cui , Wenzhan Song , Jin Ye

Inspired by reliability issues in electric transmission networks, we use a probabilistic approach to study the occurrence of large failures in a stylized cascading failure model. In this model, lines have random capacities that initially…

Probability · Mathematics 2016-04-14 F. Sloothaak , S. C. Borst , A. P. Zwart

Widespread utilization of electric vehicles (EVs) incurs more uncertainties and impacts on the scheduling of the power-transportation coupled network. This paper investigates optimal power scheduling for a power-transportation coupled…

Systems and Control · Electrical Eng. & Systems 2022-12-06 Haoran Deng , Bo Yang , Chao Ning , Cailian Chen , Xinping Guan

Power-law distributions contain precious information about a large variety of processes in geoscience and elsewhere. Although there are sound theoretical grounds for these distributions, the empirical evidence in favor of power laws has…

Geophysics · Physics 2013-03-12 Alvaro Corral , Anna Deluca

This paper studies the behavior of a strategic aggregator offering regulation capacity on behalf of a group of distributed energy resources (DERs, e.g. plug-in electric vehicles) in a power market. Our objective is to maximize the…

Optimization and Control · Mathematics 2017-08-18 Hongcai Zhang , Zechun Hu , Eric Munsing , Scott J. Moura , Yonghua Song

Iterative load balancing algorithms for indivisible tokens have been studied intensively in the past. Complementing previous worst-case analyses, we study an average-case scenario where the load inputs are drawn from a fixed probability…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-03-28 Leran Cai , Thomas Sauerwald

Large-scale integration of plug-in electric vehicles (PEV) in power systems can cause severe issues to the existing distribution system, such as branch congestions and significant voltage drops. As a consequence, smart charging strategies…

Optimization and Control · Mathematics 2012-07-24 Qiao Li , Rohit Negi , Marija D. Ilic

The recent abundance of data on electricity consumption at different scales opens new challenges and highlights the need for new techniques to leverage information present at finer scales in order to improve forecasts at wider scales. In…

Applications · Statistics 2022-11-23 Anestis Antoniadis , Solenne Gaucher , Yannig Goude

Identifying future congestion points in electricity distribution networks is an important challenge distribution system operators face. A proven approach for addressing this challenge is to assess distribution grid adequacy using…

Systems and Control · Electrical Eng. & Systems 2022-07-12 Julian N. Betge , Barbera Droste , Jacco Heres , Simon H. Tindemans

Probabilistic model checking traditionally verifies properties on the expected value of a measure of interest. This restriction may fail to capture the quality of service of a significant proportion of a system's runs, especially when the…

Artificial Intelligence · Computer Science 2025-02-10 Xiaotong Ji , Hanchun Wang , Antonio Filieri , Ilenia Epifani

Simultaneous load forecasting across multiple entities (e.g., regions, buildings) is crucial for the efficient, reliable, and cost-effective operation of power systems. Accurate load forecasting is a challenging problem due to the inherent…

Machine Learning · Computer Science 2026-01-21 Onintze Zaballa , Verónica Álvarez , Santiago Mazuelas