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In order to prevent conflicting or counteracting use of flexibility options, the coordination between distribution system operator and transmission system operator has to be strengthened. For this purpose, methods for the standardized…

Systems and Control · Electrical Eng. & Systems 2021-06-03 Gerster Johannes , Marcel Sarstedt , Eric MSP Veith , Sebastian Lehnhoff , Lutz Hofmann

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

Most of the new technological changes in power systems are expected to take place in distribution grids. The enormous potential for distribution flexibility could meet the transmission system's needs, changing the paradigm of…

Systems and Control · Electrical Eng. & Systems 2021-07-06 Luis Lopez , Alvaro Gonzalez-Castellanos , David Pozo , Mardavij Roozbehani , Munther Dahleh

There has been a significant growth of variable renewable generation in the power grid today. However, the industry still uses deterministic optimization to model and solve the optimal power flow (OPF) problem for real-time generation…

Optimization and Control · Mathematics 2019-12-02 Xingpeng Li , Qianxue Xia

As the role of distribution system (DS) flexibility in transmission system operator (TSO) network management becomes increasingly vital, data privacy concerns hinder seamless interoperability. The notion of the feasible operating region…

Systems and Control · Electrical Eng. & Systems 2025-10-03 Burak Dindar , Can Berk Saner , Hüseyin Kemal Çakmak , Veit Hagenmeyer

With the increasing number of flexible energy devices in distribution grids, coordination between Transmission System Operators (TSOs) and Distribution System Operators (DSOs) becomes critical for optimal system operation. One form of…

Optimization and Control · Mathematics 2025-11-20 Maísa Beraldo Bandeira , Alexander Engelmann , Timm Faulwasser

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

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

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 a data-based method to solve a multi-stage stochastic optimal power flow (OPF) problem based on limited information about forecast error distributions. The framework explicitly combines multi-stage feedback policies with any…

Optimization and Control · Mathematics 2018-10-29 Yi Guo , Kyri Baker , Emiliano Dall'Anese , Zechun Hu , Tyler H. Summers

We tackle the problem of sampling from intractable high-dimensional density functions, a fundamental task that often appears in machine learning and statistics. We extend recent sampling-based approaches that leverage controlled stochastic…

Machine Learning · Computer Science 2024-03-12 Dinghuai Zhang , Ricky T. Q. Chen , Cheng-Hao Liu , Aaron Courville , Yoshua Bengio

The distribution optimal power flow (D-OPF) models have gained attention in recent years to optimally operate acentrally-managed distribution grid. On account of nonconvex formulation that is difficult to solve, several relaxation methods…

Optimization and Control · Mathematics 2019-12-10 Rahul Ranjan Jha , Anamika Dubey

This paper presents a method to obtain a convex inner approximation that aims to improve the feasibility of optimal power flow (OPF) models in distribution feeders. For a resistive distribution network, both real and reactive power effect…

Optimization and Control · Mathematics 2019-11-11 Nawaf Nazir , Mads Almassalkhi

The increasing penetration of Distributed Energy Resources (DER) in the distribution network creates new challenges in the operation of both the transmission and the distribution network. However, the controllability of the converter…

Systems and Control · Electrical Eng. & Systems 2022-09-07 Giorgos Prionistis , Costas Vournas

Nowadays, the PQ flexibility from the distributed energy resources (DERs) in the high voltage (HV) grids plays a more critical and significant role in grid congestion management in TSO grids. This work proposed a multi-stage deep…

Systems and Control · Electrical Eng. & Systems 2022-12-20 Zhenqi Wang , Sebastian Wende-von Berg , Martin Braun

With increasing smart grid direct current (DC) deployments in distribution feeders, microgrids, buildings, and high-voltage transmission, there is a need for better understanding the landscape of power flow (PF) solutions as well as for…

Optimization and Control · Mathematics 2019-07-11 Sina Taheri , Vassilis Kekatos

The enormous technological potential accumulated over the past two decades would make it possible to change the operating principles of power systems entirely. The consequent technological evolution is not only affecting the structure of…

Systems and Control · Electrical Eng. & Systems 2020-11-30 Liliia Ageeva , Maryam Majidi , David Pozo

Machine learning has demonstrated remarkable promise for solving the trajectory generation problem and in paving the way for online use of trajectory optimization for resource-constrained spacecraft. However, a key shortcoming in current…

Robotics · Computer Science 2025-01-03 Julia Briden , Breanna Johnson , Richard Linares , Abhishek Cauligi

This is the second part of a two-part paper on data-based distributionally robust stochastic optimal power flow (OPF). The general problem formulation and methodology have been presented in Part I [1]. Here, we present extensive numerical…

Optimization and Control · Mathematics 2018-10-29 Yi Guo , Kyri Baker , Emiliano Dall'Anese , Zechun Hu , Tyler H. Summers

The growing penetration of distributed energy resources (DERs) is leading to continually changing operating conditions, which need to be managed efficiently by distribution grid operators. The intermittent nature of DERs such as solar…

Systems and Control · Electrical Eng. & Systems 2022-07-21 Kshitij Girigoudar , Ashley M. Hou , Line A. Roald
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