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This paper deals with distributed control of microgrids composed of storages, generators, renewable energy sources, critical and controllable loads. We consider a stochastic formulation of the optimal control problem associated to the…

Optimization and Control · Mathematics 2021-06-16 Andrea Camisa , Giuseppe Notarstefano

In black-box function optimization, we need to consider not only controllable design variables but also uncontrollable stochastic environment variables. In such cases, it is necessary to solve the optimization problem by taking into account…

Machine Learning · Statistics 2022-02-03 Yu Inatsu , Shion Takeno , Masayuki Karasuyama , Ichiro Takeuchi

In this paper, we propose networked microgrids to facilitate the integration of variable renewable generation and improve the economics and resiliency of electricity supply in microgrids. A new concept, probability of successful islanding…

Optimization and Control · Mathematics 2018-05-15 Guodong Liu , Tomas B. Ollis , Bailu Xiao , Xiaohu Zhang , Kevin Tomsovic

This paper studies adaptive distributionally robust dispatch (DRD) of the multi-energy microgrid under supply and demand uncertainties. A Wasserstein ambiguity set is constructed to support data-driven decision-making. By fully leveraging…

Optimization and Control · Mathematics 2025-04-15 Xunhang Sun , Xiaoyu Cao , Bo Zeng , Miaomiao Li , Xiaohong Guan , Tamer Başar

Chance constrained optimal power flow (CC-OPF) formulations have been proposed to minimize operational costs while controlling the risk arising from uncertainties like renewable generation and load consumption. To solve CC-OPF, we often…

Optimization and Control · Mathematics 2018-09-20 Bowen Li , Ruiwei Jiang , Johanna L. Mathieu

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

Topology design is a critical task for the reliability, economic operation, and resilience of distribution systems. This paper proposes a distributionally robust optimization (DRO) model for designing the topology of a new distribution…

Optimization and Control · Mathematics 2018-08-29 Sadra Babaei , Ruiwei Jiang , Chaoyue Zhao

In this letter, a novel solution method of generalized robust chance constrained real-time dispatch (GRCC-RTD) considering wind power uncertainty is proposed. GRCC models are advantageous in dealing with distributional uncertainty, however,…

Signal Processing · Electrical Eng. & Systems 2018-01-12 Anping Zhou , Ming Yang , Zhaoyu Wang

The increasing frequency of extreme weather events has posed significant risks to the operation of power grids. During long-duration extreme weather events, microgrid formation (MF) is an essential solution to enhance the resilience of the…

Systems and Control · Electrical Eng. & Systems 2024-06-03 Ziang Liu , Sheng Cai , Qiuwei Wu , Xinwei Shen , Xuan Zhang , Nikos Hatziargyriou

Uncertainty modeling has become increasingly important in power system decision-making. The widely-used tractable uncertainty modeling method-chance constraints with Conditional Value at Risk (CVaR) approximation, can be overconservative…

Optimization and Control · Mathematics 2024-07-02 Yilin Wen , Yi Guo , Zechun Hu , Gabriela Hug

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

Distributionally robust control (DRC) aims to effectively manage distributional ambiguity in stochastic systems. While most existing works address inaccurate distributional information in fully observable settings, we consider a partially…

Systems and Control · Electrical Eng. & Systems 2022-12-23 Astghik Hakobyan , Insoon Yang

Joint chance-constrained optimal power flow (JCC-OPF) is a promising tool to manage uncertainties from distributed renewable generation. However, most existing works are based on power flow equations, which require accurate network…

Optimization and Control · Mathematics 2022-04-12 Ge Chen , Hongcai Zhang , Hongxun Hui , Yonghua Song

The large-scale integration of renewable generation directly affects the reliability of power grids. We investigate the problem of power balancing in a general renewable-integrated power grid with storage and flexible loads. We consider a…

Systems and Control · Computer Science 2016-06-06 Sun Sun , Min Dong , Ben Liang

We study distributionally robust chance-constrained programs (DRCCPs) with individual chance constraints under a Wasserstein ambiguity. The DRCCPs treat the risk tolerances associated with the distributionally robust chance constraints…

Optimization and Control · Mathematics 2024-07-25 Yiling Zhang

In this paper we present a risk-averse model predictive control (MPC) scheme for the operation of islanded microgrids with very high share of renewable energy sources. The proposed scheme mitigates the effect of errors in the determination…

Optimization and Control · Mathematics 2019-08-20 Christian A. Hans , Pantelis Sopasakis , Jörg Raisch , Carsten Reincke-Collon , Panagiotis Patrinos

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

This paper studies the problem of distributionally robust model predictive control (MPC) using total variation distance ambiguity sets. For a discrete-time linear system with additive disturbances, we provide a conditional value-at-risk…

Systems and Control · Electrical Eng. & Systems 2022-06-27 Anushri Dixit , Mohamadreza Ahmadi , Joel W. Burdick

The integration of intermittent renewable energy sources into distribution networks introduces significant uncertainties and fluctuations, challenging their operational security, stability, and efficiency. This paper considers robust…

Systems and Control · Electrical Eng. & Systems 2025-06-02 Runjie Zhang , Kaiping Qu , Changhong Zhao , Wanjun Huang

To address the power system hardening problem, traditional approaches often adopt robust optimization (RO) that considers a fixed set of concerned contingencies, regardless of the fact that hardening some components actually renders…

Systems and Control · Electrical Eng. & Systems 2025-03-07 Donglai Ma , Xiaoyu Cao , Bo Zeng , Qing-Shan Jia , Chen Chen , Qiaozhu Zhai , Xiaohong Guan