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Leveraging populations of thermostatically controlled loads could provide vast storage capacity to the grid. To realize this potential, their flexibility must be accurately aggregated and represented to the system operator as a single,…

Systems and Control · Electrical Eng. & Systems 2025-04-02 Karan Mukhi , Alessandro Abate

The flexibility of active ($p$) and reactive power ($q$) consumption in distributed energy resources (DERs) can be represented as a (potentially non-convex) set of points in the $p$-$q$ plane. Modeling of the aggregated flexibility in a…

Optimization and Control · Mathematics 2018-09-13 Soumya Kundu , Vikas Chandan , Karan Kalsi

Aggregations of flexible loads can provide several power system services through demand response programs, for example load shifting and curtailment. The capabilities of demand response should therefore be represented in system operators'…

Optimization and Control · Mathematics 2015-08-27 Suhail Barot , Josh A. Taylor

Aggregation of a large number of responsive loads presents great power flexibility for demand response. An effective control and coordination scheme of flexible loads requires an accurate and tractable model that captures their aggregate…

Optimization and Control · Mathematics 2016-09-21 Lin Zhao , He Hao , Wei Zhang

This paper develops and compares algorithms to compute inner approximations of the Minkowski sum of convex polytopes. As an application, the paper considers the computation of the feasibility set of aggregations of distributed energy…

Optimization and Control · Mathematics 2018-10-04 Md Salman Nazir , Ian A. Hiskens , Andrey Bernstein , Emiliano Dall'Anese

Many real-world applications require the joint optimization of a large number of flexible devices over time. The flexibility of, e.g., multiple batteries, thermostatically controlled loads, or electric vehicles can be used to support grid…

Optimization and Control · Mathematics 2024-02-29 Emrah Öztürk , Timm Faulwasser , Karl Worthmann , Markus Preißinger , Klaus Rheinberger

With increasing availability of communication and control infrastructure at the distribution systems, it is expected that the distributed energy resources (DERs) will take an active part in future power systems operations. One of the main…

Systems and Control · Computer Science 2018-03-20 Soumya Kundu , Karanjit Kalsi , Scott Backhaus

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

A variety of energy resources has been identified as being flexible in their electric energy consumption or generation. This energetic flexibility can be used for various purposes such as minimizing energy procurement costs or providing…

Systems and Control · Computer Science 2017-05-09 Fabian L. Müller , Jácint Szabó , Olle Sundström , John Lygeros

Loads represent a promising flexibility source to support the integration of renewable energy sources, as they may shift their energy consumption over time. By computing the aggregated flexibility of power and energy-constrained loads,…

Systems and Control · Electrical Eng. & Systems 2025-05-23 Julie Rousseau , Philipp Heer , Kristina Orehounig , Gabriela Hug

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

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

Bundling a large number of distributed energy resources through a load aggregator has been advocated as an effective means to integrate such resources into whole-sale energy markets. To ease market clearing, system operators allow…

Systems and Control · Electrical Eng. & Systems 2022-01-31 Sina Taheri , Vassilis Kekatos , Harsha Veeramachaneni , Baosen Zhang

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

This paper addresses the question: how many distributed energy resources (DERs) are needed to provide $\pm1$MW of flexibility over a number of hours? For this purpose, a metric based on an ISO's own performance score is proposed. Then, a…

Systems and Control · Electrical Eng. & Systems 2020-12-23 Adil Khurram , Luis A. Duffaut Espinosa , Mads Almassalkhi

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

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

The gradual decommissioning of fossil fuel-driven power plants, that traditionally provide most operational flexibility in power systems, has led to more frequent grid stability issues. To compensate for the lack of flexible resources,…

Systems and Control · Electrical Eng. & Systems 2022-05-20 Alice Patig , Ognjen Stanojev , Petros Aristidou , Aristides Kiprakis , Gabriela Hug

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

The increasing penetration of volatile renewables combined with increasing demands poses a challenge to modern power grids. Furthermore, distributed energy resources and flexible devices (electric vehicles, PV generation, ...) are becoming…

Optimization and Control · Mathematics 2024-04-01 Emrah Öztürk , Kevin Kaspar , Timm Faulwasser , Karl Worthmann , Peter Kepplinger , Klaus Rheinberger
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