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To mitigate global climate change, distributed energy resources (DERs), such as distributed generators, flexible loads, and energy storage systems (ESSs), have witnessed rapid growth in power distribution systems. When properly managed,…

Optimization and Control · Mathematics 2025-08-21 Rui Xie , Yue Chen

Two-stage adaptive robust optimization (ARO) is a powerful approach for planning under uncertainty, balancing first-stage decisions with recourse decisions made after uncertainty is realized. To account for uncertainty, modelers typically…

Systems and Control · Electrical Eng. & Systems 2025-04-10 Aron Brenner , Rahman Khorramfar , Jennifer Sun , Saurabh Amin

This paper presents a data-driven, distributionally robust chance-constrained optimization method for estimating the real and reactive power controllability of aggregated distributed energy resources (DER). At the DER-level, a…

Systems and Control · Electrical Eng. & Systems 2021-10-15 Mingzhi Zhang , Xiangqi Zhu , Ning Lu

With a large-scale integration of distributed energy resources (DERs), distribution systems are expected to be capable of providing capacity support for the transmission grid. To effectively harness the collective flexibility from massive…

Systems and Control · Computer Science 2019-06-04 Xin Chen , Emiliano Dall'Anese , Changhong Zhao , Na Li

This study introduces adaptive robust optimization (ARO) and adaptive robust stochastic optimization (ARSO) approaches to address long- and short-term uncertainties in the optimal sizing and placement of distributed energy resources in…

Optimization and Control · Mathematics 2025-03-25 Fernando García-Muñoz , Cristian Duran-Mateluna

The increasing integration of distributed energy resources (DER) offers new opportunities for distribution system operators (DSO) to improve network operation through flexibility services. To utilise flexible resources, various DER…

Systems and Control · Electrical Eng. & Systems 2026-02-09 Andrey Churkin , Wangwei Kong , Pierluigi Mancarella , Eduardo A. Martínez Ceseña

Active distribution grids are accommodating an increasing number of controllable electric loads and distributed energy resources (DERs). A majority of these DERs are managed by entities other than the distribution utility, such as…

Systems and Control · Electrical Eng. & Systems 2023-09-06 Kshitij Girigoudar , Line A. Roald

The aggregate flexibility region of distributed energy resources (DERs) quantifies the aggregate power shaping capabilities of DERs. It characterizes the distribution network's potential for wholesale market participation and grid service…

Systems and Control · Electrical Eng. & Systems 2026-05-27 Feixiang Zhang , Hongyi Li , Bai Cui , Zhaoyu Wang

We propose an approach based on machine learning to solve two-stage linear adaptive robust optimization (ARO) problems with binary here-and-now variables and polyhedral uncertainty sets. We encode the optimal here-and-now decisions, the…

Machine Learning · Computer Science 2026-04-21 Dimitris Bertsimas , Cheol Woo Kim

This paper presents a method for predictive aggregation of the available flexibility at the residential unit level into a flexibility chart that represents the admissible active and reactive powers, along with the associated flexibility…

Systems and Control · Electrical Eng. & Systems 2026-03-12 Clément Moureau , Thomas Stegen , Mevludin Glavic , Bertrand Cornélusse

This paper presents a grid-aware probabilistic approach to compute the aggregated flexibility at the grid connection point (GCP) of active distribution networks (ADNs) to allow the participation of DERs in ancillary services (AS) markets.…

Systems and Control · Electrical Eng. & Systems 2026-02-19 Matthieu Jacobs , Mario Paolone

The increasing number of flexible devices and distributed energy resources in power grids renders the coordination of transmission and distribution systems increasingly complex. In this paper, we discuss and compare two different approaches…

Systems and Control · Electrical Eng. & Systems 2025-10-22 Maísa Beraldo Bandeira , Alexander Engelmann , Timm Faulwasser

Increasing integration of distributed energy resources (DERs) within distribution feeders provides unprecedented flexibility at the distribution-transmission interconnection. To exploit this flexibility and to use the capacity potential of…

Optimization and Control · Mathematics 2020-12-16 Bai Cui , Ahmed Zamzam , Andrey Bernstein

Significant outages from weather and climate extremes have highlighted the critical need for resilience-centered risk management of the grid. This paper proposes a multi-stage stochastic robust optimization (SRO) model that advances the…

Multiagent Systems · Computer Science 2022-05-24 Nariman L. Dehghani , Abdollah Shafieezadeh

Neglecting consumers' comfort always leads to failure or slow-response to demand response request. In this paper, we propose several comprehensive comfort level models for various appliances in campus-based commercial buildings (CBs). The…

Optimization and Control · Mathematics 2019-03-28 Zheming Liang , Desong Bian , Dawei Su , Ruisheng Diao , Di Shi , Zhiwei Wang , Wencong Su

Power distribution networks are increasingly hosting controllable and flexible distributed energy resources (DERs) that, when aggregated, can provide ancillary support to transmission systems. However, existing aggregation schemes often…

Systems and Control · Electrical Eng. & Systems 2026-01-22 Hyeongon Park , Daniel K. Molzahn , Rahul K. Gupta

The integration of distributed energy resources (DER) makes active distribution networks (ADNs) natural providers of flexibility services. However, the optimal operation of flexible units in ADNs is highly complex, which poses challenges…

Systems and Control · Electrical Eng. & Systems 2023-05-29 Andrey Churkin , Wangwei Kong , Jose N. Melchor Gutierrez , Eduardo A. Martínez Ceseña , Pierluigi Mancarella

In this paper, we study the two-stage distributionally robust optimization (DRO) problem from the primal perspective. Unlike existing approaches, this perspective allows us to build a deeper and more intuitive understanding on DRO, to…

Optimization and Control · Mathematics 2024-12-31 Zhengsong Lu , Bo Zeng

In this paper, a distribution system operator (DSO) framework is proposed for comprehensive retail and wholesale markets participation of distributed energy resource (DER) aggregators under uncertainty based on two-stage stochastic…

Systems and Control · Electrical Eng. & Systems 2020-09-18 Mohammad Mousavi , Meng Wu

In recent years, electric vehicle (EV) charging stations have witnessed a rapid growth. However, effective management of charging stations is challenging due to individual EV owners' privacy concerns, competing interests of different…

Systems and Control · Electrical Eng. & Systems 2022-06-15 Dongxiang Yan , Chengbin Ma , Yue Chen
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