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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

Coordinated aggregation of a large population of thermostatically controlled loads (TCLs) presents a great potential to provide various ancillary services to the grid. One of the key challenges of integrating TCLs into system level…

Optimization and Control · Mathematics 2017-04-04 Lin Zhao , Wei Zhang , He Hao , Karan Kalsi

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

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

It is well established that the aggregate flexibility inherent in populations of distributed energy resources (DERs) can be leveraged to mitigate the intermittency and uncertainty associated with renewable generation, while also providing…

Systems and Control · Electrical Eng. & Systems 2025-06-18 Karan Mukhi , Georg Loho , Alessandro Abate

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

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

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

Aggregation schemes provide a means to reduce the computational complexity of power system operation by reducing the number of devices that are considered individually. This can be achieved with tools of computational geometry, where the…

Optimization and Control · Mathematics 2026-04-17 Maurice Raetsch , Maísa Beraldo Bandeira , Christian Rehtanz , Alexander Engelmann , Timm Faulwasser

The bulk power grid is divided into regional grids interconnected with multiple tie-lines for efficient operation. Since interconnected power grids are operated by different control centers, it is a challenging task to realize coordinated…

Systems and Control · Electrical Eng. & Systems 2025-11-07 Siyuan Wang , Cheng Feng , Fengqi You

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

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

This paper proposes a federated framework for demand flexibility aggregation to support grid operations. Unlike existing geometric methods that rely on a static, pre-defined base set as the geometric template for aggregation, our framework…

Systems and Control · Electrical Eng. & Systems 2026-02-11 Yifan Dong , Ge Chen , Junjie Qin

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

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

We consider the problem of dispatching a fleet of heterogeneous energy storage units to provide grid support. Under the restriction that recharging is not possible during the time frame of interest, we develop an aggregate measure of fleet…

Optimization and Control · Mathematics 2019-08-09 Michael P. Evans , Simon H. Tindemans , David Angeli

Aggregating building heating, ventilation, and air-conditioning (HVAC) fleets provides substantial real-time flexibility to power system operations. However, real-time aggregation of multi-zone HVAC fleets faces two key challenges: (i)…

Systems and Control · Electrical Eng. & Systems 2026-05-14 Jingguan Liu , Xiaomeng Ai , Cong Chen , Shaoze Li , Shichang Cui , Jiakun Fang , Jinyu Wen

Adaptive robust optimization (ARO) is a well-known technique to deal with the parameter uncertainty in optimization problems. While the ARO framework can actually be borrowed to solve some special problems without uncertain parameters, such…

Systems and Control · Electrical Eng. & Systems 2021-03-22 Xin Chen , Na Li

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

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
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