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Many power systems operation and planning computations (e.g., transmission and generation switching and placement) solve a mixed-integer nonlinear problem (MINLP) with binary variables representing the decision to connect devices to the…

Systems and Control · Electrical Eng. & Systems 2023-04-25 Aayushya Agarwal , Amritanshu Pandey , Larry Pillegi

As neural networks become more integrated into the systems that we depend on for transportation, medicine, and security, it becomes increasingly important that we develop methods to analyze their behavior to ensure that they are safe to use…

Systems and Control · Electrical Eng. & Systems 2022-10-17 Nicholas Rober , Michael Everett , Songan Zhang , Jonathan P. How

Large-scale integration of distributed energy resources into residential distribution feeders necessitates careful control of their operation through power flow analysis. While the knowledge of the distribution system model is crucial for…

Machine Learning · Computer Science 2020-09-16 Omid Ardakanian , Vincent W. S. Wong , Roel Dobbe , Steven H. Low , Alexandra von Meier , Claire Tomlin , Ye Yuan

Narrowband Internet of Things (NB-IoT) is a new Low Power Wide Area Network (LPWAN) technology released by 3GPP. The primary goals of NB-IoT are improved coverage, massive capacity, low cost, and long battery life. In order to improve…

Networking and Internet Architecture · Computer Science 2019-02-26 Sahithya Ravi , Pouria Zand , Mohieddine El Soussi , Majid Nabi

Convergence failure and slow convergence rates are among the biggest challenges with solving the system of non-linear equations numerically. Although mitigated, such issues still linger when using strictly small time steps and…

Numerical Analysis · Mathematics 2019-12-05 Hanyu Li , Wing Tat Leung , Mary F. Wheeler

High penetration of residential photovoltaic (PV) in low-voltage distribution networks (LVDN) makes the unbalance issue more sever due to the asymmetry of generation/load characteristic in different phases, and may lead to infeasible…

Optimization and Control · Mathematics 2019-11-06 Bin Liu , Ke Meng , Peter K. C. Wong , Zhao Yang Dong , Cuo Zhang , Bo Wang , Tian Ting , Qu Qi

A problem of reconstruction of the topology and the respective edge resistance values of an unknown circular planar passive resistive network using limitedly available resistance distance measurements is considered. We develop a multistage…

Systems and Control · Electrical Eng. & Systems 2026-04-29 Shivanagouda Biradar , Deepak U Patil

The primal-dual hybrid gradient (PDHG) method is one of the most popular algorithms for solving saddle point problems. However, when applying the PDHG method and its many variants to some real-world models commonly encountered in signal…

Optimization and Control · Mathematics 2025-06-10 Jintao Yu , Hongjin He

This paper discusses an outer-approximation guided optimization method for constrained neural network inverse problems with rectified linear units. The constrained neural network inverse problems refer to an optimization problem to find the…

Optimization and Control · Mathematics 2020-02-25 Myun-Seok Cheon

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

The future power grid may rely on distributed optimization to determine the set-points for huge numbers of distributed energy resources. There has been significant work on applying distributed algorithms to optimal power flow (OPF)…

Systems and Control · Electrical Eng. & Systems 2023-11-15 Rachel Harris , Mohannad Alkhraijah , Daniel K. Molzahn

The proliferation of heterogeneous configurations in distributed systems presents significant challenges in ensuring stability and efficiency. Misconfigurations, driven by complex parameter interdependencies, can lead to critical failures.…

Systems and Control · Electrical Eng. & Systems 2024-12-17 Deyi Xing , Weicong Chen , Curtis Tatsuoka , Xiaoyi Lu

This paper presents a new and straightforward procedure for solving bilinear quadratic optimal control problem. In this method, first the original optimal control problem is transformed into a nonlinear twopoint boundary value problem…

Optimization and Control · Mathematics 2012-02-09 Hamidreza Ramezanpour , Saeed Setayeshi , Hossein Arabalibeik , Amin Jajarmi

Non-orthogonal multiple access (NOMA) is considered as one of the predominant multiple access technique for the next-generation cellular networks. We consider a 2-user pair downlink NOMA system with imperfect successive interference…

Signal Processing · Electrical Eng. & Systems 2022-01-25 Nemalidinne Siva Mouni , Pavan Reddy M. , Abhinav Kumar , Prabhat K. Upadhyay

Electric power grids regularly experience uncertain fluctuations from load demands and renewables, which poses a risk of violating operational limits designed to safeguard the system. In this paper, we consider the robust AC OPF problem…

Optimization and Control · Mathematics 2021-04-13 Dongchan Lee , Konstantin Turitsyn , Daniel K. Molzahn , Line A. Roald

The joint design of analog beamforming and power allocation is investigated for a single radio-frequency chain multiuser time-division multiple access system under a max-min signal-to-noise ratio (SNR) criterion. A hardware-efficient…

Signal Processing · Electrical Eng. & Systems 2026-04-14 Songnan Gu , Chongjun Ouyang , Hao Jiang , Xingqi Zhang

Ensuring solution feasibility is a key challenge in developing Deep Neural Network (DNN) schemes for solving constrained optimization problems, due to inherent DNN prediction errors. In this paper, we propose a ``preventive learning''…

Machine Learning · Computer Science 2023-05-18 Tianyu Zhao , Xiang Pan , Minghua Chen , Steven H. Low

We consider the resolution of learning problems involving $\ell_0$-regularization via Branch-and-Bound (BnB) algorithms. These methods explore regions of the feasible space of the problem and check whether they do not contain solutions…

Optimization and Control · Mathematics 2024-06-07 Theo Guyard , Cédric Herzet , Clément Elvira , Ayşe-Nur Arslan

In this paper, we propose a novel wireless scheme that integrates satellite, airborne, and terrestrial networks aiming to support ground users. More specifically, we study the enhancement of the achievable users' throughput assisted with…

Networking and Internet Architecture · Computer Science 2019-12-10 Ahmad Alsharoa , Mohamed-Slim Alouini

Power flow solvable boundary plays an important role in contingency analysis, security assessment, and planning processes. However, to construct the real solvable boundary in multidimensional parameter space is burdensome and time…

Optimization and Control · Mathematics 2015-03-06 Suhyoun Yu , Hung D. Nguyen , Konstantin S. Turitsyn