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This paper presents a novel approach to addressing the distributionally robust nonlinear model predictive control (DRNMPC) problem. Current literature primarily focuses on the static Wasserstein distributionally robust optimal control…

Optimization and Control · Mathematics 2023-04-18 Zhengang Zhong , Jia-Jie Zhu

In this paper, we formulate optimization problems to perform optimal transmission switching (OTS) in order to operate power transmission grids most efficiently. In any given electrical network, several of the transmission lines are…

Systems and Control · Electrical Eng. & Systems 2023-09-07 Vineet Jagadeesan Nair

In this work, we propose a distributionally robust stochastic model predictive control (DR-SMPC) algorithm to address the problem of two-sided chance constrained discrete-time linear system corrupted by additive noise. The prevalent…

Systems and Control · Electrical Eng. & Systems 2022-03-17 Yuan Tan , Jun Yang , Wen-Hua Chen , Shihua Li

In the face of extreme events, e.g., hurricanes, the transmission systems, especially the transmission lines, are affected across time and space. To mitigate these impacts on the day-ahead market from a probabilistic perspective, a…

Optimization and Control · Mathematics 2019-11-19 Tianyang Zhao , Huajun Zhang , Xiaochuan Liu , Shuhan Yao , Peng 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

In this study we consider the shortest path problem, where the arc costs are subject to distributional uncertainty. Basically, the decision-maker attempts to minimize her worst-case expected loss over an ambiguity set (or a family) of…

Optimization and Control · Mathematics 2021-03-16 Sergey S. Ketkov , Oleg A. Prokopyev , Evgenii P. Burashnikov

When uncontrollable resources fluctuate, Optimum Power Flow (OPF), routinely used by the electric power industry to re-dispatch hourly controllable generation (coal, gas and hydro plants) over control areas of transmission networks, can…

Optimization and Control · Mathematics 2013-02-06 Daniel Bienstock , Michael Chertkov , Sean Harnett

As renewable energy sources replace traditional power sources (such as thermal generators), uncertainty grows while there are fewer controllable units. To reduce operational risks and avoid frequent real-time emergency controls, a…

Optimization and Control · Mathematics 2022-07-04 Yue Chen , Wei Wei

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 consider a network capacity expansion problem in the context of telecommunication networks, where there is uncertainty associated with the expected traffic demand. We employ a distributionally robust stochastic…

Optimization and Control · Mathematics 2020-04-10 Trivikram Dokka , Francis Garuba , Marc Goerigk , Peter Jacko

In recent years, there have been increasing concerns about the impacts of geomagnetic disturbances (GMDs) on electrical power systems. Geomagnetically-induced currents (GICs) can saturate transformers, induce hot-spot heating and increase…

Optimization and Control · Mathematics 2024-09-23 Mowen Lu , Sandra D. Eksioglu , Scott J. Mason , Russell Bent , Harsha Nagarajan

The increasing penetration of Renewable Energy Sources (RES) requires more Flexibility Resources (FR), generally thermal units and storages, must be kept in the system to accommodate the uncertainties from RES. The challenge is how the…

Optimization and Control · Mathematics 2015-12-31 Hongxing Ye , Jianhui Wang , Zuyi Li

The integration of large-scale renewable generation has major implications on the operation of power systems, two of which we address in this work. First, system operators have to deal with higher degrees of uncertainty due to forecast…

Systems and Control · Computer Science 2019-06-17 Andreas Venzke , Lejla Halilbasic , Adelie Barre , Line Roald , Spyros Chatzivasileiadis

Nowadays, the transition from a conventional generation system to a renewable generation system is one of the most difficult challenges for system operators and companies. There are several reasons: the long-standing impact of investment…

Optimization and Control · Mathematics 2017-12-13 Cristina Roldán , Agustín A. Sánchez de la Nieta , Roberto Mínguez , Raquel García-Bertrand

Due to its reduced communication overhead and robustness to failures, distributed energy management is of paramount importance in smart grids, especially in microgrids, which feature distributed generation (DG) and distributed storage (DS).…

Optimization and Control · Mathematics 2015-03-20 Yu Zhang , Nikolaos Gatsis , Georgios B. Giannakis

In distributed model predictive control (MPC), the control input at each sampling time is computed by solving a large-scale optimal control problem (OCP) over a finite horizon using distributed algorithms. Typically, such algorithms require…

Systems and Control · Electrical Eng. & Systems 2023-03-28 Giuseppe Belgioioso , Dominic Liao-McPherson , Mathias Hudoba de Badyn , Nicolas Pelzmann , John Lygeros , Florian Dörfler

This paper proposes a distributionally robust unit commitment approach for microgrids under net load and electricity market price uncertainty. The key thrust of the proposed approach is to leverage the Kullback-Leibler divergence to…

Optimization and Control · Mathematics 2020-12-15 Ogun Yurdakul , Fikret Sivrikaya , Sahin Albayrak

In this paper, a flexibility-oriented microgrid optimal scheduling model is proposed to mitigate distribution network net load variability caused by large penetration distributed solar generation. The distributed solar generation…

Systems and Control · Computer Science 2016-08-17 Alireza Majzoobi , Amin Khodaei

In recent years, two prominent paradigms have shaped distributionally robust optimization (DRO), modeling distributional ambiguity through $\phi$-divergences and Wasserstein distances, respectively. While the former focuses on ambiguity in…

Optimization and Control · Mathematics 2025-12-22 Jose Blanchet , Daniel Kuhn , Jiajin Li , Bahar Taskesen

One of the most important challenges facing an electric grid is to incorporate renewables and distributed energy resources (DERs) to the grid. Because of the associated uncertainties in power generations and peak power demands,…

Optimization and Control · Mathematics 2016-04-15 Mayank Baranwal , Srinivasa M. Salapaka