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This paper studies a distributed continuous-time aggregative optimization problem, which is a fundamental problem in the price-based energy management. The objective of the distributed aggregative optimization is to minimize the sum of…

Optimization and Control · Mathematics 2023-09-26 Xin Cai , Feng Xiao , Bo Wei , Aiping Wang

Greater penetration of Distributed Energy Resources (DERs) in power networks requires coordination strategies that allow for self-adjustment of contributions in a network of DERs, owing to variability in generation and demand. In this…

Systems and Control · Computer Science 2017-08-23 Sourav Patel , Sandeep Attree , Saurav Talukdar , Mangal Prakash , Murti V. Salapaka

Voltage regulation in distribution networks is challenged by increasing penetration of distributed energy resources (DERs). Thanks to advancement in power electronics, these DERs can be leveraged to regulate the grid voltage by quickly…

Optimization and Control · Mathematics 2017-07-25 Hao Jan Liu , Wei Shi , Hao Zhu

This paper presents a method to handle renewable source and load uncertainties in Dynamic Day-ahead Optimal Power Flow (DA-OPF) using post-optimal analysis of linear programming problem. The method does not require the uncertainty…

Optimization and Control · Mathematics 2018-04-18 Parikshit Pareek , Ashu Verma

Distributionally robust control is a well-studied framework for optimal decision making under uncertainty, with the objective of minimizing an expected cost function over control actions, assuming the most adverse probability distribution…

Systems and Control · Electrical Eng. & Systems 2025-08-12 Alexandros E. Tzikas , Lukas Fiechtner , Arec Jamgochian , Mykel J. Kochenderfer

This paper presents a novel frequency-responsive control scheme for demand-side resources, such as electric water heaters. A frequency-dependent control law is designed to provide damping from distributed energy resources (DERs) in a fully…

Systems and Control · Electrical Eng. & Systems 2020-07-14 Hani Mavalizadeh , Luis A. Duffaut Espinosa , Mads R. Almassalkhi

Many stochastic optimization problems include chance constraints that enforce constraint satisfaction with a specific probability; however, solving an optimization problem with chance constraints assumes that the solver has access to the…

Optimization and Control · Mathematics 2021-09-21 Joshua Comden , Ahmed S. Zamzam , Andrey Bernstein

The increasing adoption of renewable energy sources increases the need for balancing power. The security concerns of the distribution system operators are increasing due to fast adoption of distributed energy resources. So far, various…

Systems and Control · Electrical Eng. & Systems 2019-12-17 Peng Hou , Guangya Yang , Junjie Hu , Philip Douglass

Two-stage robust unit commitment (RUC) models have been widely used for day-ahead energy and reserve scheduling under high renewable integration. The current state of the art relies on budget-constrained polyhedral uncertainty sets to…

Optimization and Control · Mathematics 2019-05-14 Alexandre Velloso , Alexandre Street , David Pozo , José M. Arroyo , Noemi G. Cobos

This paper proposes a model predictive controller for discrete-time linear systems with additive, possibly unbounded, stochastic disturbances and subject to chance constraints. By computing a polytopic probabilistic positively invariant set…

Optimization and Control · Mathematics 2024-09-23 Kai Wang , Kiet Tuan Hoang , Sébastien Gros

Integration of modern defence weapons into ship power systems poses a challenge in terms of meeting the high ramp rate requirements of those loads. It might be demanding for the generators to meet the ramp rates of these loads. Failure to…

Optimization and Control · Mathematics 2021-05-27 Satish Vedula , Mehrzad Mohammadi Bijaieh , Ellis Oti Boateng , Olugbenga Moses Anubi

With the large-scale integration of renewable power generation, frequency regulation resources (FRRs) are required to have larger capacities and faster ramp rates, which increases the cost of the frequency regulation ancillary service.…

Systems and Control · Electrical Eng. & Systems 2021-01-27 Likai Liu , Zechun Hu , Xiaoyu Duan , Nikhil Pathak

The increasing integration of renewable energy sources and distributed energy resources (DER) into modern power systems introduces significant uncertainty, posing challenges for maintaining grid flexibility and reliability. Hybrid energy…

Systems and Control · Electrical Eng. & Systems 2025-10-31 Tanmay Mishra , Dakota Hamilton , Mads R. Almassalkhi

Safe navigation is a fundamental challenge in multi-robot systems due to the uncertainty surrounding the future trajectory of the robots that act as obstacles for each other. In this work, we propose a principled data-driven approach where…

Robotics · Computer Science 2022-09-19 Atharva Navsalkar , Ashish R. Hota

Reliable operation in power systems is becoming more difficult as the penetration of random renewable resources increases. In particular, operators face the risk of not scheduling enough traditional generators in the times when renewable…

Optimization and Control · Mathematics 2013-05-28 Junjie Qin , Baosen Zhang , Ram Rajagopal

Cooperating interconnected microgrids with the Distribution System Operation (DSO) can lead to an improvement in terms of operation and reliability. This paper investigates the optimal operation and scheduling of interconnected microgrids…

Optimization and Control · Mathematics 2018-03-12 Morteza Dabbaghjamanesh , Shahab Mehraeen , Abdollah Kavousi Fard , Farzad Ferdowsi

We present a data-driven approach for distributionally robust chance constrained optimization problems (DRCCPs). We consider the case where the decision maker has access to a finite number of samples or realizations of the uncertainty. The…

Optimization and Control · Mathematics 2018-10-11 Ashish R. Hota , Ashish Cherukuri , John Lygeros

Microgrids (MGs) have been equipped with large-scale distributed energy sources (DESs), and become more vulnerable due to the low inertia characteristic. In particular, high-density misbehaving DESs caused by cascading faults bring a great…

Systems and Control · Electrical Eng. & Systems 2024-09-19 Yutong Li , Lili Wang

When performing the resilience enhancement for distribution networks, there are two obstacles to reliably model the uncertain contingencies: 1) decision-dependent uncertainty (DDU) due to various line hardening decisions, and 2)…

Systems and Control · Electrical Eng. & Systems 2023-10-12 Yujia Li , Shunbo Lei , Wei Sun , Chenxi Hu , Yunhe Hou

We propose an enhancement to wholesale electricity markets whereby the exposure of consumers to increasingly large and volatile consumer payments arising as a byproduct of volatile real-time net loads -- i.e., loads minus renewable outputs…

Optimization and Control · Mathematics 2024-08-13 Daniel Bienstock , Yury Dvorkin , Cheng Guo , Robert Mieth , Jiayi Wang