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We show how distributed control of reactive power can serve to regulate voltage and minimize resistive losses in a distribution circuit that includes a significant level of photovoltaic (PV) generation. To demonstrate the technique, we…

Optimization and Control · Mathematics 2016-11-18 Konstantin Turitsyn , Petr Sulc , Scott Backhaus , Michael Chertkov

Power losses in electrical power systems especially, distribution systems, occur due to several environmental and technical factors. Transmission & Distribution line losses are normally 17% and 50% respectively. These losses are due to the…

Systems and Control · Electrical Eng. & Systems 2023-07-13 Umar Jamil

We discuss here the famous paradox of a continuous power drainage from the source at the input of an otherwise lossless infinite transmission line. The solution of the paradox lies in the realization that in an open-circuit finite…

Classical Physics · Physics 2018-04-26 Ashok K. Singal

The classical Maximum Power Transfer theorem of linear electrical network theory is generalized to the setting of a nonlinear state space system connected to a source. This yields a state space version of the input-output operator results…

Optimization and Control · Mathematics 2025-02-18 Arjan van der Schaft

The increased penetration of volatile renewable energy into distribution networks necessities more efficient distributed voltage control. In this paper, we design distributed feedback control algorithms where each bus can inject \emph{both…

Systems and Control · Computer Science 2020-01-29 Sindri Magnússon , Guannan Qu , Na Li

The power flow equations relate bus voltage phasors to power injections via the network admittance matrix. These equations are central to the key operational and protection functions of power systems (e.g., optimal power flow scheduling and…

Systems and Control · Electrical Eng. & Systems 2025-10-21 Samuel Talkington , Daniel Turizo , Sergio A. Dorado-Rojas , Rahul K. Gupta , Daniel K. Molzahn

This study addresses the transmission value of energy storage in electric grids. The inherent connection between storage and transmission infrastructure is captured from a "cumulative energy" perspective, which enables the reformulating of…

Systems and Control · Electrical Eng. & Systems 2024-07-15 Qian Zhang , P. R. Kumar , Le Xie

Power generation in Germany is currently transitioning from a system based on large, central, thermal power plants to one that heavily relies on small, decentral, mostly renewable power generators. This development poses the question how…

Applied Physics · Physics 2017-04-24 Sabine Auer , Florian Steinke , Wang Chunsen , Andrei Szabo , Rudolf Sollacher

The dynamics and performance of a two-coil resonant coupled wireless power transfer system are investigated. At high coupling, the frequency-splitting phenomenon occurs, in which the power transferred to the load attains its maximum at two…

Applied Physics · Physics 2020-12-01 Binh Duc Truong , Thuy Thi-Thien Le , Berardi Sensale-Rodriguez

High penetration of distributed energy resources presents several challenges and opportunities for voltage regulation in power distribution systems. A local reactive power (VAR) control framework will be developed that can fast respond to…

Optimization and Control · Mathematics 2015-10-26 Hao Zhu , Hao Jan Liu

This paper presents a method to obtain a convex inner approximation that aims to improve the feasibility of optimal power flow (OPF) models in distribution feeders. For a resistive distribution network, both real and reactive power effect…

Optimization and Control · Mathematics 2019-11-11 Nawaf Nazir , Mads Almassalkhi

This note discusses an essentially decentralized interior point method, which is well suited for optimization problems arising in energy networks. Advantages of the proposed method are guaranteed and fast local convergence also for problems…

Optimization and Control · Mathematics 2023-07-07 Alexander Engelmann , Michael Kaupmann , Timm Faulwasser

The trend in the electric power system is to move towards increased amounts of distributed resources which suggests a transition from the current highly centralized to a more distributed control structure. In this paper, we propose a method…

Optimization and Control · Mathematics 2014-10-17 Javad Mohammadi , Soummya Kar , Gabriela Hug

Time-varying renewable energy generation can result in serious under-/over-voltage conditions in future distribution grids. Augmenting conventional utility-owned voltage regulating equipment with the reactive power capabilities of…

Systems and Control · Computer Science 2015-08-27 Vassilis Kekatos , Liang Zhang , Georgios B. Giannakis , Ross Baldick

The various wireless networks have made the ambient radio frequency signals around the world. Wireless information and power transfer enables the devices to recycle energy from these ambient radio frequency signals and process information…

Information Theory · Computer Science 2013-07-30 Zhiyong Chen , Biao Wang , Bin Xia , Hui Liu

In this paper, we analyze the fundamental trade-off between information transfer and power gain by means of an information-theoretic framework in communications circuits. This analysis is of interest as many of today's applications require…

Information Theory · Computer Science 2014-04-22 Fabian Steiner , Amine Mezghani , Josef A. Nossek

This paper address the problem of voltage regulation in power distribution networks with deep penetration of distributed energy resources (DERs) without any explicit communication between the buses in the network. We cast the problem as an…

Optimization and Control · Mathematics 2013-08-02 Baosen Zhang , Alejandro D. Domiguez-Garcia , David Tse

This paper explores a limit avoidance approach in the case of input (modulation) and output (current) constraints with the aim of enhancing system availability of AC drives. Drawing on the observation that, in a certain range of reactive…

Systems and Control · Electrical Eng. & Systems 2025-11-06 Sanjay Chandrasekaran , Catalin Arghir , Pieder Joerg , Florian Doerfler , Silvia Mastellone

This two-part paper details a theory of solvability for the power flow equations in lossless power networks. In Part I, we derive a new formulation of the lossless power flow equations, which we term the fixed-point power flow. The model is…

Optimization and Control · Mathematics 2017-09-21 John W. Simpson-Porco

The growing amount of fluctuating renewable infeeds and market liberalization increases uncertainty in power system operation. To capture the influence of fluctuations in operational planning, we model the forecast errors of the uncertain…

Optimization and Control · Mathematics 2015-08-26 Line Roald , Frauke Oldewurtel , Bart Van Parys , Göran Andersson