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We formulate the optimal flow problem in a multi-area integrated electrical and gas system as a mixed-integer optimization problem by approximating the non-linear gas flows with piece-wise affine functions, thus resulting in a set of…

Optimization and Control · Mathematics 2022-09-13 Wicak Ananduta , Sergio Grammatico

We present a pure linear cutting-plane relaxation approach for rapidly proving tight and accurate lower bounds for the Alternating Current Optimal Power Flow Problem (ACOPF) and its multi-period extension with ramping constraints. Our…

Optimization and Control · Mathematics 2024-09-19 Daniel Bienstock , Matias Villagra

The feeder reconfiguration problem chooses the on/off status of the switches in a distribution network in order to minimize a certain cost such as power loss. It is a mixed integer nonlinear program and hence hard to solve. A popular…

Optimization and Control · Mathematics 2015-12-22 Qiuyu Peng , Steven H. Low

Nonlinear convex relaxations of the power flow equations and, in particular, the Semi-Definite Programming (SDP), Convex Quadratic (QC), and Second-Order Cone (SOC) relaxations, have attracted significant interest in recent years. Thus far,…

Optimization and Control · Mathematics 2015-11-13 Carleton Coffrin , Hassan L. Hijazi , Pascal Van Hentenryck

This paper proposes a new linear power flow model for distribution system with accurate voltage magnitude estimates. The new model can be seen as a generalization of LinDistFlow model to multiphase distribution system with generic network…

Systems and Control · Electrical Eng. & Systems 2021-04-07 Jianqiao Huang , Bai Cui , Xinyang Zhou , Andrey Bernstein

Convex relaxations of the power flow equations and, in particular, the Semi-Definite Programming (SDP) and Second-Order Cone (SOC) relaxations, have attracted significant interest in recent years. The Quadratic Convex (QC) relaxation is a…

Computational Engineering, Finance, and Science · Computer Science 2015-07-30 Carleton Coffrin , Hassan L. Hijazi , Pascal Van Hentenryck

The alternating current optimal power flow problem is a fundamental yet highly nonconvex optimization problem whose structure reflects both nonlinear power flow physics and the topology of the underlying network. Among convex relaxations,…

Optimization and Control · Mathematics 2026-05-07 Gabor Riccardi , Ambrogio Maria Bernardelli , Stefano Gualandi

We investigate the problem of certifying optimality for sparse generalized linear models (GLMs), where sparsity is enforced through a cardinality constraint. While Branch-and-Bound (BnB) frameworks can certify optimality using perspective…

Optimization and Control · Mathematics 2026-03-03 Jiachang Liu , Andrea Lodi , Soroosh Shafiee

In this paper, a novel joint design of beamforming and power allocation is proposed for a multi-cell multiuser multiple-input multiple-output (MIMO) non-orthogonal multiple access (NOMA) network. In this network, base stations (BSs) adopt…

Information Theory · Computer Science 2018-06-13 Xiaofang Sun , Nan Yang , Shihao Yan , Zhiguo Ding , Derrick Wing Kwan Ng , Chao Shen , Zhangdui Zhong

Secondary distribution networks (SDNets) play an increasingly important role in smart grids due to a high proliferation of distributed energy resources (DERs) in SDNets. However, most existing optimal power flow (OPF) problems do not take…

Systems and Control · Electrical Eng. & Systems 2024-04-23 Rui Cheng , Naihao Shi , Zhaoyu Wang , Zixiao Ma

Optimal power flow (OPF) is a key problem in power system operations. OPF problems that use the nonlinear AC power flow equations to accurately model the network physics have inherent challenges associated with non-convexity. To address…

Optimization and Control · Mathematics 2020-06-19 Mohammad Rasoul Narimani , Daniel K. Molzahn , Mariesa L. Crow

Energy system optimization models are increasing in scope and resolution, yielding large and challenging linear programs. For a long time, the standard way to address such problems has relied on shared-memory interior-point methods (IPM),…

Optimization and Control · Mathematics 2026-05-07 Janina Zittel , Annika Buchholz , Michael Bussieck , Frederik Fiand , Thorsten Koch , Lukas Mehl , Niels Lindner , Manuel Wetzel

Wholesale power markets often use linear approximations of power system constraints. Because it does not consider inequality constraints, using AC power flow for feasibility post-processing can violate bounds on reactive power, voltage…

Systems and Control · Electrical Eng. & Systems 2025-11-13 Anna Van Boven , Kyri Baker

Binary Neural Networks (BNNs) can significantly accelerate the inference time of a neural network by replacing its expensive floating-point arithmetic with bitwise operations. Most existing solutions, however, do not fully optimize data…

Machine Learning · Computer Science 2023-04-04 L. Vorabbi , D. Maltoni , S. Santi

The increasing decentralization of power systems driven by a large number of renewable energy sources poses challenges in power flow optimization. Partially unknown power line properties can render model-based approaches unsuitable. With…

Systems and Control · Electrical Eng. & Systems 2025-09-30 Sebastian Otzen , Hannes M. H. Wolf , Christian A. Hans

In this paper, a novel optimization model for joint beamforming and power control in the downlink (DL) of a cell-free massive MIMO (CFmMIMO) system is presented. The objective of the proposed optimization model is to minimize the maximum…

Information Theory · Computer Science 2021-07-23 Mohamed Elwekeil , Alessio Zappone , Stefano Buzzi

This is a second part of the research on AC optimal power flow being used in the lower level of the bilevel strategic bidding or investment models. As an example of a suitable upper-level problem, we observe a strategic bidding of energy…

Systems and Control · Electrical Eng. & Systems 2022-07-05 Karlo Sepetanc , Hrvoje Pandzic , Tomislav Capuder

This paper investigates a three-node amplify-and-forward (AF) multiple-input multiple-output (MIMO) relay network, where an autonomous relay harvests power from the source information flow and is further helped by an energy flow in the form…

Information Theory · Computer Science 2015-02-25 Yang Huang , Bruno Clerckx

A new variant of bit interleaved coded modulation (BICM) is proposed. In the new scheme, called Parallel BICM, L identical binary codes are used in parallel using a mapper, a newly proposed finite-length interleaver and a binary dither…

Information Theory · Computer Science 2010-08-18 Amir Ingber , Meir Feder

Performance of multicell systems is inevitably limited by interference and available resources. Although intercell interference can be mitigated by Base Station (BS) Coordination, the demand on inter-BS information exchange and…

Information Theory · Computer Science 2014-07-10 Mohammad Hossein Akbari , Vahid Tabataba Vakili