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Unscheduled islanding events of microgrids result in the transition between grid-connected and islanded modes and induce a sudden and unknown power imbalance, posing a threat to frequency security. To achieve seamless islanding, we propose…

Optimization and Control · Mathematics 2024-01-09 Lun Yang , Haoxiang Yang , Xiaoyu Cao , Xiaohong Guan

Inflexible combined heat and power (CHP) plants and uncertain wind power production result in excess power in distribution networks, which leads to inverse power flow challenging grid operations. Power-to-X facilities such as electrolysers…

Systems and Control · Electrical Eng. & Systems 2025-07-15 Sen Zhan , Peng Hou , Guangya Yang

Distribution networks are increasingly exposed to threats such as extreme weather, aging infrastructure, and cyber risks--resulting in more frequent contingencies and outages, a trend likely to persist. Microgrids, particularly dynamic…

Optimization and Control · Mathematics 2025-10-10 Hannah Moring , Bala Kameshwar Poolla , Harsha Nagarajan , Johanna L. Mathieu , Andrey Bernstein , David M. Fobes

Uncertainties from deepening penetration of renewable energy resources have posed critical challenges to the secure and reliable operations of future electric grids. Among various approaches for decision making in uncertain environments,…

Optimization and Control · Mathematics 2019-04-16 Xinbo Geng , Le Xie

This paper formulates a chance-constrained optimal distribution network partitioning (ODNP) problem addressing uncertainties in load and renewable energy generation; and presents a solution methodology using sample average approximation…

Systems and Control · Electrical Eng. & Systems 2020-09-09 Shuchismita Biswas , Manish K. Singh , Virgilio Centeno

Uncertainties from deepening penetration of renewable energy resources have posed critical challenges to the secure and reliable operations of future electric grids. Among various approaches for decision making in uncertain environments,…

Optimization and Control · Mathematics 2019-04-16 Xinbo Geng , Le Xie

In this paper we present a stochastic scenario-based model predictive control (MPC) approach for the operation of islanded microgrids with high share of renewable energy sources. We require that the stored energy remains within given bounds…

Optimization and Control · Mathematics 2021-04-20 Jie Lei , Christian A. Hans , Pantelis Sopasakis

To address the challenge of the renewable energy uncertainty, the ISO New England (ISO-NE) has proposed to apply do-not-exceed (DNE) limits, which represent the maximum nodal injection of renewable energy the grid can accommodate.…

Optimization and Control · Mathematics 2018-08-07 Hongyan Ma , Ruiwei Jiang , Zheng Yan

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

Distributed generation and remotely controlled switches have emerged as important technologies to improve the resiliency of distribution grids against extreme weather-related disturbances. Therefore it becomes impor- tant to study how best…

Optimization and Control · Mathematics 2018-01-12 Geunyeong Byeon , Pascal Van Hentenryck , Russell Bent , Harsha Nagarajan

Safe operation of autonomous systems requires robustness to both model uncertainty and uncertainty in the environment. We propose DRP-$\mathcal{L}_1$AC, a hierarchical framework for stochastic nonlinear systems that integrates…

Systems and Control · Electrical Eng. & Systems 2026-04-24 Astghik Hakobyan , Amaras Nazarians , Aditya Gahlawat , Naira Hovakimyan , Ilya Kolmanovsky

With the growing share of renewable energy sources, the uncertainty in power supply is increasing. In addition to the inherent fluctuations in the renewables, this is due to the threat of deliberate malicious attacks, which may become more…

Systems and Control · Electrical Eng. & Systems 2024-02-15 Sarah Braun , Sebastian Albrecht , Sergio Lucia

Designing robust algorithms for the optimal power flow (OPF) problem is critical for the control of large-scale power systems under uncertainty. The chance-constrained OPF (CCOPF) problem provides a natural formulation of the trade-off…

Optimization and Control · Mathematics 2025-01-23 Eli Brock , Haixiang Zhang , Javad Lavaei , Somayeh Sojoudi

This paper studies a distributionally robust chance constrained program (DRCCP) with Wasserstein ambiguity set, where the uncertain constraints should be satisfied with a probability at least a given threshold for all the probability…

Optimization and Control · Mathematics 2020-02-17 Weijun Xie

In scenarios where high penetration of renewable energy sources (RES) is connected to the grid over long distances, the output of RES exhibits significant fluctuations, making it difficult to accurately characterize. The intermittency and…

Optimization and Control · Mathematics 2025-02-27 Yuhong Wang , Xinyao Wang , Chen Shen , Jianquan Liao , Qianni Cao , Yufei Teng , Huabo Shi , Gang Chen

Renewable energy has attracted significant attention over the last decade, conceivably due to its environmental benefits and the recent drops in the development and deployment cost of the technology. The increase in renewable generation,…

Systems and Control · Computer Science 2016-10-25 Alireza Majzoobi , Amin Khodaei , Shay Bahramirad , Math H J Bollen

This paper presents a distributionally robust model predictive control (DRMPC) framework for the optimal Virtual Power Plant (VPP) operation under electricity price uncertainty. A unified VPP model is formulated that captures the…

Systems and Control · Electrical Eng. & Systems 2026-05-15 Nikolas Recke , Mathias Hudoba de Badyn

Distributed renewable energy resources have attracted significant attention in recent years due to the falling cost of the renewable energy technology, extensive federal and state incentives, and the application in improving load-point…

Systems and Control · Computer Science 2016-12-05 Alireza Majzoobi , Amin Khodaei

Uncertainty in renewable energy generation has the potential to adversely impact the operation of electric networks. Numerous approaches to manage this impact have been proposed, ranging from stochastic and chance-constrained programming to…

Optimization and Control · Mathematics 2024-05-08 Álvaro Porras , Line Roald , Juan Miguel Morales , Salvador Pineda

The robustness of fault detection algorithms against uncertainty is crucial in the real-world industrial environment. Recently, a new probabilistic design scheme called distributionally robust fault detection (DRFD) has emerged and received…

Optimization and Control · Mathematics 2026-01-16 Yulin Feng , Hailang Jin , Steven X. Ding , Hao Ye , Chao Shang