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Distributionally robust optimization (DRO) has become a powerful framework for estimation under uncertainty, offering strong out-of-sample performance and principled regularization. In this paper, we propose a DRO-based method for linear…

Machine Learning · Statistics 2025-05-06 Liviu Aolaritei , Soroosh Shafiee , Florian Dörfler

The rapid growth of artificial intelligence (AI)-driven data centers is reshaping electricity demand patterns. This is achieved by introducing fast, multi-gigawatt load ramps that challenge the stability and resilience of modern power…

Systems and Control · Electrical Eng. & Systems 2026-01-22 Sharaf K. Magableh , Caisheng Wang , Oraib Dawaghreh

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

We propose a hierarchical distributed algorithm to solve optimal power flow (OPF) problems that aim at dispatching controllable distributed energy resources (DERs) for voltage regulation at minimum cost. The proposed algorithm features…

Optimization and Control · Mathematics 2020-02-10 Xinyang Zhou , Zhiyuan Liu , Changhong Zhao , Lijun Chen

The rapid electrification of residential heating and mobility sectors is expected to drive the existing distribution grid assets beyond their planned operating conditions. This change will also reveal new potentials through sector coupling,…

Systems and Control · Electrical Eng. & Systems 2023-04-20 Soner Candas , Beneharo Reveron Baecker , Anurag Mohapatra , Thomas Hamacher

Smart devices, storage and other distributed technologies have the potential to greatly improve the utilisation of network infrastructure and renewable generation. Decentralised control of these technologies overcomes many scalability and…

Optimization and Control · Mathematics 2024-10-30 Paul Scott , Sylvie Thiébaux

In this paper we present a novel tractable method to compute reduced and aggregated distribution grid representations that provide an interface in the form of active and reactive power (PQ) capability areas for improving transmission…

Systems and Control · Computer Science 2019-03-19 Philipp Fortenbacher , Turhan Demiray

Community microgrids are developed within existing power systems by integrating local distributed energy resources (DERs). So power distribution systems can be seamlessly partitioned into community microgrids and end-users could be largely…

Optimization and Control · Mathematics 2017-08-04 Chen Yuan , Guangyi Liu , Zhiwei Wang , Xi Chen , Mahesh S. Illindala

In this paper, we propose a framework for coordinating distributed energy resources (DERs) connected to a power distribution system, the model of which is not completely known, so that they collectively provide a specified amount of active…

Optimization and Control · Mathematics 2020-06-09 Hanchen Xu , Alejandro D. Domínguez-García , Peter W. Sauer

Real-world three-phase microgrids face two interconnected challenges: 1. time-varying uncertainty from renewable generation and demand, and 2. persistent phase imbalances caused by uneven distributed energy resources DERs, load asymmetries,…

Systems and Control · Electrical Eng. & Systems 2025-03-20 Pablo Cortés , Alejandra Tabares , Fredy Franco

To manage huge amount of flexible distributed energy resources (DERs) in the distribution networks, the virtual power plant (VPP) is introduced in industry. The VPP can optimally dispatch these resources in a cluster way and provide…

Systems and Control · Electrical Eng. & Systems 2020-11-03 Siyuan Wang , Wenchuan Wu

The large-scale integration of Distributed Energy Resources (DERs) into the electric power system offers new opportunities to ensure stability. For example, Active Distribution Networks (ADNs) can be used in (sub-)transmission systems in…

Systems and Control · Electrical Eng. & Systems 2022-07-13 Jannik Zwartscholten , Christian Rehtanz

Aggregators of consumer energy resources (CERs) like rooftop solar and battery energy storage (BES) face challenges due to their inherent uncertainties. A sensible approach is to use stochastic optimization to handle such uncertainties,…

Systems and Control · Electrical Eng. & Systems 2025-11-03 Chatum Sankalpa , Ghulam Mohy-ud-din , Erik Weyer , Maria Vrakopoulou

This paper investigates distributed control and incentive mechanisms to coordinate distributed energy resources (DERs) with both continuous and discrete decision variables as well as device dynamics in distribution grids. We formulate a…

Optimization and Control · Mathematics 2019-07-16 Xinyang Zhou , Emiliano Dall'Anese , Lijun Chen

This paper adopts a two-stage sample robust optimization (SRO) model to address the wind power penetrated unit commitment optimal energy flow (UC-OEF) problem for IEGSs. The two-stage SRO model can be approximately transformed into a…

Optimization and Control · Mathematics 2024-01-02 Rong-Peng Liu , Yunhe Hou , Yujia Li , Shunbo Lei , Wei Wei , Xiaozhe Wang

In this paper we present a framework to efficiently characterize the available operational flexibility in a multi-area power system. We focus on the available reserves and the tie-line flows. The proposed approach is an alternative to the…

Systems and Control · Computer Science 2016-11-15 Matthias Bucher , Spyros Chatzivasileiadis , Göran Andersson

Motivated by the benefits of multi-energy integration, this paper establishes a bi-level two-stage framework based on transactive control, in order to achieve optimal energy provision among interconnected multi-energy systems (MESs). At the…

Optimization and Control · Mathematics 2019-10-23 Yizhi Cheng , Peichao Zhang , Xuezhi Liu

In distribution networks, there are slow controlling devices and fast controlling devices for Volt-VAR regulation. These slow controlling devices, such as capacitors or voltage regulators, cannot be operated frequently and should be…

Systems and Control · Computer Science 2017-05-09 Weiye Zheng , Wenchuan Wu , Boming Zhang , Yongjie 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

The ongoing integration of controllable distributed energy resources (DER) makes distribution networks capable of aggregating flexible power and providing flexibility services at both transmission and distribution levels. The aggregated…

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