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Optimal Power Flow (OPF) dispatches controllable generation at minimum cost subject to operational constraints on generation and transmission assets. The uncertainty and variability of intermittent renewable generation is challenging…

Optimization and Control · Mathematics 2015-11-24 Miles Lubin , Yury Dvorkin , Scott Backhaus

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

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

Modern power systems integrate renewable distributed energy resources (DERs) as an environment-friendly enhancement to meet the ever-increasing demands. However, the inherent unreliability of renewable energy renders developing DER…

Systems and Control · Electrical Eng. & Systems 2024-05-30 Xiaotong Cheng , Ioannis Tsetis , Setareh Maghsudi

Quantifying the potential benefits of microgrids in the design phase can support the transition of passive distribution networks into microgrids. At current, reliability and resilience are the main drivers for this transition. Therefore,…

Optimization and Control · Mathematics 2020-06-12 Raphael Wu , Giovanni Sansavini

In this paper a novel distributed control algorithm for current sharing and voltage regulation in Direct Current (DC) microgrids is proposed. The DC microgrid is composed of several Distributed Generation units (DGUs), including Buck…

Optimization and Control · Mathematics 2018-05-01 Michele Cucuzzella , Sebastian Trip , Claudio De Persis , Xiaodong Cheng , Antonella Ferrara , Arjan van der Schaft

Chance-constrained programming (CCP) is one of the most difficult classes of optimization problems that has attracted the attention of researchers since the 1950s. In this survey, we focus on cases when only a limited information on the…

Optimization and Control · Mathematics 2022-02-15 Simge Küçükyavuz , Ruiwei Jiang

The non-convexity and intractability of distributionally robust chance constraints make them challenging to cope with. From a data-driven perspective, we propose formulating it as a robust optimization problem to ensure that the…

Optimization and Control · Mathematics 2023-06-23 Zhiping Chen , Wentao Ma , Bingbing Ji

The increasing frequency of extreme weather events poses significant risks to power distribution systems, leading to widespread outages and severe economic and social consequences. This paper presents a novel simulation framework for…

Systems and Control · Electrical Eng. & Systems 2025-02-13 Xuesong Wang , Shuo Yuan , Sharaf K. Magableh , Oraib Dawaghreh , Caisheng Wang , Le Yi Wang

To manage renewable generation and load consumption uncertainty, chance-constrained optimal power flow (OPF) formulations and various solution methodologies have been proposed. However, conventional solution approaches often rely on…

Optimization and Control · Mathematics 2019-08-06 Bowen Li , Ruiwei Jiang , Johanna L. Mathieu

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

With the rising adoption of distributed energy resources (DERs), microgrid dispatch is facing new challenges: DER owners are independent stakeholders seeking to maximize their individual profits rather than being controlled centrally; and…

Optimization and Control · Mathematics 2025-01-27 Meng Yang , Rui Xie , Yongjun Zhang , Yue Chen

The variability caused by the proliferation of distributed energy resources (DERs) and the significant growth in unbalanced three-phase loads pose unprecedented challenges to distribution network operations. This paper focuses on how a…

Systems and Control · Electrical Eng. & Systems 2023-08-31 Zelong Lu , Jianxue Wang , Mohammad Shahidehpour , Linquan Bai , Zuyi Li , Lei Yan , Xianlong Chen

With the commitment to climate, globally many countries started reducing brownfield energy production and strongly opting towards green energy resources. However, the optimal allocation of distributed energy resources (DERs) in electrical…

Systems and Control · Electrical Eng. & Systems 2023-03-28 D Maneesh Reddy , Divyanshi Dwivedi , Pradeep Kumar Yemula , Mayukha Pal

This paper studies the robust optimal operation of distribution networks (DNs) under renewable generation and load demand uncertainties, seeking an improved trade-off between robustness and economic performance. Building upon information…

Systems and Control · Electrical Eng. & Systems 2026-04-28 Zhisheng Xiong , Dimitris Boskos , Bo Zeng , Peter Palensky , Pedro P. Vergara

Modern society is critically dependent on the services provided by engineered infrastructure networks. When natural disasters (e.g. Hurricane Sandy) occur, the ability of these networks to provide service is often degraded because of…

Optimization and Control · Mathematics 2014-09-17 Emre Yamangil , Russell Bent , Scott Backhaus

This paper incorporates a continuous-type network flexibility into chance constrained economic dispatch (CCED). In the proposed model, both power generations and line susceptances are continuous variables to minimize the expected generation…

Systems and Control · Electrical Eng. & Systems 2024-02-27 Yue Song , Tao Liu , David J. Hill

Increased uncertainty due to high penetration of renewables imposes significant costs to the system operators. The added costs depend on several factors including market design, performance of renewable generation forecasting and the…

Optimization and Control · Mathematics 2014-04-23 Baosen Zhang , Ram Rajagopal , David Tse

A community integrated energy system (CIES) is an important carrier of the energy internet and smart city in geographical and functional terms. Its emergence provides a new solution to the problems of energy utilization and environmental…

Systems and Control · Electrical Eng. & Systems 2023-02-07 Yang Li , Meng Han , Mohammad Shahidehpour , Jiazheng Li , Chao Long

A novel distributed algorithm is proposed for finite-time converging to a feasible consensus solution satisfying global optimality to a certain accuracy of the distributed robust convex optimization problem (DRCO) subject to bounded…

Optimization and Control · Mathematics 2023-09-06 Xunhao Wu , Jun Fu
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