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This paper address the optimal voltage control problem of distribution systems with high penetration of inverter-based renewable energy resources, under inaccurate model information. We propose the online exponential barrier method that…

Optimization and Control · Mathematics 2025-10-14 Peng Zhang , Baosen Zhang

Optimal transport (OT) is a widely used tool in machine learning, but computing high-accuracy solutions for large instances remains costly. Entropic regularization and the Sinkhorn algorithm improve scalability; however, when the…

Machine Learning · Computer Science 2026-05-12 Di Wu , Ling Liang , Haizhao Yang

This paper proposes a transient stability-driven planning framework for the optimal sizing problem of resilient AC/DC hybrid microgrids (HMGs) under different types of contingencies, capturing frequency and voltage stability requirements as…

Systems and Control · Electrical Eng. & Systems 2025-07-24 Yi Wang , Goran Strbac

This paper presents a novel convex optimization-based method for finding the globally optimal solutions of a class of mixed-integer non-convex optimal control problems. We consider problems with non-convex constraints that restrict the…

Optimization and Control · Mathematics 2019-11-21 Danylo Malyuta , Behcet Acikmese

Several recent publications report advances in training optimal decision trees (ODT) using mixed-integer programs (MIP), due to algorithmic advances in integer programming and a growing interest in addressing the inherent suboptimality of…

Machine Learning · Computer Science 2020-11-09 Haoran Zhu , Pavankumar Murali , Dzung T. Phan , Lam M. Nguyen , Jayant R. Kalagnanam

We study the optimal transport problem for pairs of stationary finite-state Markov chains, with an emphasis on the computation of optimal transition couplings. Transition couplings are a constrained family of transport plans that capture…

Optimization and Control · Mathematics 2021-09-20 Kevin O'Connor , Kevin McGoff , Andrew B. Nobel

With high penetrations of renewable generation and variable loads, there is significant uncertainty associated with power flows in DC networks such that stability and operational constraint satisfaction are of concern. Most existing DC…

Optimization and Control · Mathematics 2021-06-14 Jianzhe Liu , Bai Cui , Daniel K. Molzahn , Chen Chen , Xiaonan Lu , Feng Qiu

This paper presents a scalable method for improving the solutions of AC Optimal Power Flow (AC OPF) with respect to deviations in predicted power injections from wind and other uncertain generation resources. The focus of the paper is on…

Systems and Control · Computer Science 2019-01-10 Miles Lubin , Yury Dvorkin , Line Roald

A simultaneously transmitting and reflecting reconfigurable intelligent surface (STAR-RIS) assisted simultaneous wireless information and power transfer (SWIPT) system is proposed. More particularly, an STAR-RIS is deployed to assist in the…

Information Theory · Computer Science 2024-03-25 Guangyu Zhu , Xidong Mu , Li Guo , Ao Huang , Shibiao Xu

Semidefinite programming (SDP) is widely acknowledged as one of the most effective methods for deriving the tightest lower bounds of the optimal power flow (OPF) problems. In this paper, an enhanced semidefinite relaxation model that…

Systems and Control · Electrical Eng. & Systems 2024-10-01 Zhaojun Ruan , Libao Shi

Optimal power flow (OPF) is a fundamental tool for analyzing the characteristics of bipolar DC distribution network (DCDN). However, existing OPF models face challenges in reflecting the power distribution and exchange of bipolar DCDN…

Systems and Control · Electrical Eng. & Systems 2023-07-06 Yiyao Zhou , Qianggang Wang , Yuan Chi , Jianquan Liao , Tao Huang , Niancheng Zhou , Xiaolong Xu , Xuefei Zhang

This paper deals with the multiobjective version of the optimal spanning tree problem. More precisely, we are interested in determining the optimal spanning tree according to an Ordered Weighted Average (OWA) of its objective values. We…

Data Structures and Algorithms · Computer Science 2009-11-02 Lucie Galand , Olivier Spanjaard

In this paper, we study multiple-input multiple-output (MIMO) wireless power transfer (WPT) systems, where the energy harvester (EH) node is equipped with multiple nonlinear rectennas. We characterize the optimal transmit strategy by the…

Information Theory · Computer Science 2021-04-20 Nikita Shanin , Laura Cottatellucci , Robert Schober

While wired-power-transfer devices ensure robust power delivery even if the receiver position or load impedance changes, achieving the robustness of wireless power transfer (WPT) is challenging. Conventional solutions are based on…

Applied Physics · Physics 2020-01-09 Fu Liu , Bhakti Chowkwale , Prasad Jayathurathnage , Sergei Tretyakov

Resilient operation of the power system during ongoing wildfires is challenging because of the uncertain ways in which the fires impact the electric power infrastructure (multiple arc-faults, complete melt-down). To address this challenge,…

Systems and Control · Electrical Eng. & Systems 2024-04-22 Satyaprajna Sahoo , Anamitra Pal

We consider a class of optimal power flow (OPF) applications where some loads offer a modulation service in exchange for an activation fee. These applications can be modeled as multi-period formulations of the OPF with discrete variables…

Optimization and Control · Mathematics 2014-01-07 Quentin Gemine , Damien Ernst , Quentin Louveaux , Bertrand Cornélusse

Convex relaxations of the AC Optimal Power Flow (OPF) problem are essential not only for identifying the globally optimal solution but also for enabling the use of OPF formulations in Bilevel Programming and Mathematical Programs with…

Optimization and Control · Mathematics 2020-06-23 Lucien Bobo , Andreas Venzke , Spyros Chatzivasileiadis

The branch flow based optimal power flow(OPF) problem in radianlly operated distribution networks can be exactly relazed to a second order cone programming (SOCP) model without considering transformers. However, the introdution of nonlinear…

Systems and Control · Computer Science 2017-05-09 Wenchuan Wu , Zhuang Tian , Boming Zhang

This paper develops upper bounds on the end-to-end transmission capacity of multi-hop wireless networks. Potential source-destination paths are dynamically selected from a pool of randomly located relays, from which a closed-form lower…

Information Theory · Computer Science 2013-02-08 Yuxin Chen , Jeffrey G. Andrews

Dynamic simulation plays a crucial role in power system transient stability analysis, but traditional numerical integration-based methods are time-consuming due to the small time step sizes. Other semi-analytical solution methods, such as…

Systems and Control · Electrical Eng. & Systems 2025-03-14 Kaiyang Huang , Yang Liu , Kai Sun , Feng Qiu
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