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We discuss how multi-grid computing schemes can be used to design hierarchical coordination architectures for energy systems. These hierarchical architectures can be used to manage multiple temporal and spatial scales and mitigate…

Optimization and Control · Mathematics 2020-04-01 Sungho Shin , Victor M. Zavala

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

We analyze the convergence of gradient-based optimization algorithms that base their updates on delayed stochastic gradient information. The main application of our results is to the development of gradient-based distributed optimization…

Optimization and Control · Mathematics 2011-05-02 Alekh Agarwal , John C. Duchi

In this paper, we study temporal splitting algorithms for multiscale problems. The exact fine-grid spatial problems typically require some reduction in degrees of freedom. Multiscale algorithms are designed to represent the fine-scale…

Numerical Analysis · Mathematics 2021-06-02 Yalchin Efendiev , Sai-Mang Pun , Petr N. Vabishchevich

Renewables will soon dominate energy production in our electric power system. And yet, how to integrate renewable energy into the grid and the market is still a subject of major debate. Decentral Smart Grid Control (DSGC) was recently…

Adaptation and Self-Organizing Systems · Physics 2016-10-31 Benjamin Schäfer , Carsten Grabow , Sabine Auer , Jürgen Kurths , Dirk Witthaut , Marc Timme

Microgrids are autonomous clusters of generators, storage units and loads. Special requirements arise in interconnected operation: control schemes that do not require individual microgrids to disclose information about their internal…

Optimization and Control · Mathematics 2024-07-04 T. Alissa Schenck , Christian A. Hans

In this paper, a distributed convex optimization framework is developed for energy trading between islanded microgrids. More specifically, the problem consists of several islanded microgrids that exchange energy flows by means of an…

Optimization and Control · Mathematics 2015-04-14 David Gregoratti , Javier Matamoros

The growing prevalence of extreme weather events driven by climate change poses significant challenges to power system resilience. Infrastructure damage and prolonged power outages highlight the urgent need for effective grid-hardening…

Systems and Control · Electrical Eng. & Systems 2026-01-30 Sifat Chowdhury , Yihsu Chen , Yu Zhang

Industrial sensor data provides significant insights into the failure risks of microgrid generation assets. In traditional applications, these sensor-driven risks are used to generate alerts that initiate maintenance actions without…

Systems and Control · Electrical Eng. & Systems 2024-10-30 Farnaz Fallahi , Murat Yildirim , Jeremy Lin , Caisheng Wang

The integration of storage and renewable resources fundamentally alters resource-adequacy analysis. Because storage couples decisions across time, it invalidates the traditional reliability models that are based on time-independent capacity…

Optimization and Control · Mathematics 2026-03-05 Baptiste Rabecq , Andy Sun , Feng Zhao , Tongxin Zheng , Xiaochu Wang , Yufan Zhang

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

We consider the problem of optimal reactive power compensation for the minimization of power distribution losses in a smart microgrid. We first propose an approximate model for the power distribution network, which allows us to cast the…

Optimization and Control · Mathematics 2013-12-17 Saverio Bolognani , Sandro Zampieri

One of the most important goals of the 21st century is to change radically the way our society produces and distributes energy. This broad objective embodies in the smart grid's futuristic vision of a completely decentralized system powered…

Systems and Control · Computer Science 2013-05-20 Nicolas Gensollen , Vincent Gauthier , Michel Marot , Monique Becker

Natural wildfire becomes increasingly frequent as climate change evolves, posing a growing threat to power systems, while grid failures simultaneously fuel the most destructive wildfires. Preemptive de-energization of grid equipment is…

Optimization and Control · Mathematics 2023-12-05 Hanbin Yang , Noah Rhodes , Haoxiang Yang , Line Roald , Lewis Ntaimo

One critical value microgrids bring to power systems is resilience, the capability of being able to island from the main grid under certain conditions and connect back when necessary. Once islanded, a microgrid must be synchronized to the…

Systems and Control · Computer Science 2017-06-20 Di Shi , Xi Chen , Zhiwei Wang , Xiaohu Zhang , Zhe Yu , Xinan Wang , Desong Bian

This paper presents a time decomposition strategy to reduce the computational complexity of power system multi-interval operation problems. We focus on the economic dispatch problem. The considered scheduling horizon is decomposed into…

Signal Processing · Electrical Eng. & Systems 2019-02-18 Farnaz Safdarian , Okan Ciftci , Amin Kargarian

Increasing threats of global warming and climate changes call for an energy-efficient and sustainable design of future wireless communication systems. To this end, a novel two-scale stochastic control framework is put forth for smart-grid…

Systems and Control · Computer Science 2016-08-22 Xin Wang , Xiaojing Chen , Tianyi Chen , Longbo Huang , Georgios B. Giannakis

We consider a distributed stochastic optimization problem in networks with finite number of nodes. Each node adjusts its action to optimize the global utility of the network, which is defined as the sum of local utilities of all nodes.…

Information Theory · Computer Science 2018-07-31 Wenjie Li , Mohamad Assaad

We consider a multiperiod stochastic capacitated facility location problem under uncertain demand and budget in each period. Using a scenario tree representation of the uncertainties, we formulate a multistage stochastic integer program to…

Optimization and Control · Mathematics 2022-07-19 Xian Yu , Siqian Shen

This paper studies the problem of robustly optimal operation control of microgrids with a high share of renewable energy sources. The main goal is to ensure optimal operation under a wide range of circumstances, given the highly…

Optimization and Control · Mathematics 2025-12-10 Ujjwal Pratap , Steffen Hofmann
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