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Passivity theory is one of the cornerstones of control theory, as it allows one to prove stability of a large-scale system while treating each component separately. In practice, many systems are not passive, and must be passivized in order…

Systems and Control · Electrical Eng. & Systems 2021-05-06 Miel Sharf , Daniel Zelazo

The modeling of cascading failure in power systems is difficult because of the many different mechanisms involved; no single model captures all of these mechanisms. Understanding the relative importance of these different mechanisms is an…

Physics and Society · Physics 2016-11-17 Jiajia Song , Eduardo Cotilla-Sanchez , Goodarz Ghanavati , Paul D. H. Hines

Energy dissipation is an unavoidable phenomenon of physical systems that are directly coupled to an external environmental bath. The ability to engineer the processes responsible for dissipation and coupling is fundamental to manipulate the…

Classical Physics · Physics 2017-06-28 Changyao Chen , Damián H. Zanette , David Czaplewski , Steven Shaw , Daniel López

By means of a novel variational approach and using dual maps techniques and general ideas of dynamical system theory we derive exact results about several models of transport flows, for which we also obtain a complete description of their…

Chaotic Dynamics · Physics 2007-05-23 Michael Blank

Non-stationary forced oscillations (FOs) have been observed in power system operations. However, most detection methods assume that the frequency of FOs is stationary. In this paper, we present a methodology for the analysis of…

Signal Processing · Electrical Eng. & Systems 2020-06-26 Pablo Gill Estevez , Pablo Marchi , Cecilia Galarza , Marcelo Elizondo

Teaching by direct models in science has been weakening the learning process of the students, because the real problems in engineering are not solved by direct models instead commonly they are solved by inverse models. On the other hand,…

Physics Education · Physics 2019-08-09 K. L. Cristiano , D. A. Triana , R. Ortiz , A. F. Estupiñán

Since transmission lines are crucial links in the power system, one line outage event may bring about interruption or even cascading failure of the power system. If a quick and accurate line outage detection and localization can be…

Signal Processing · Electrical Eng. & Systems 2019-04-03 Xianda Deng , Desong Bian , Di Shi , Wenxuan Yao , Zhihao Jiang , Yilu Liu

In the recent years, passivity theory has gained renewed attention because of its advantages and practicality in modeling of multi-domain systems and constructive control techniques. Unlike Lyapunov theory, passivity theory takes a…

Systems and Control · Computer Science 2018-05-03 Krishna Chaitanya Kosaraju

This two-part paper proposes a compositional and equilibrium-free approach to analyzing power system stability. In Part I, we have established the stability theory and proposed stability conditions based on the delta dissipativity. In Part…

Systems and Control · Electrical Eng. & Systems 2025-06-16 Peng Yang , Yifan Su , Xiaoyu Peng , Hua Geng , Feng Liu

The properties of a one space-dimension, one particle dynamical system under the influence of a purely dissipative force are investigated. Assuming this force depends only on the velocity, it is demonstrated, in contrast to the case of…

Computational Physics · Physics 2014-05-19 Ronald E. Mickens , Kale Oyedeji

The impedances of cables and lines used in (multi-conductor) distribution networks are usually unknown or approximated, and may lead to problematic results for any physics-based power system calculation, e.g., (optimal) power flow. Learning…

Systems and Control · Electrical Eng. & Systems 2025-06-06 Marta Vanin , Frederik Geth , Rahmat Heidari , Dirk Van Hertem

This paper proposes a nonlinear, adaptive controller to increase the stability margin of a direct-current (DC) small-scale electrical network containing a constant power load, whose value is unknown. Due to their negative incremental…

Systems and Control · Computer Science 2018-09-14 Juan E. Machado , José Arocas-Pérez , Wei He , Romeo Ortega , Robert Griñó

In this paper, two approaches for modeling three-component fluid flows using diffusive interface method are discussed. Thermodynamic consistency of the proposed models is preserved when using an energetic variational framework to derive the…

Analysis of PDEs · Mathematics 2018-10-12 Arkadz Kirshtein , James Brannick , Chun Liu

Most passivity based trajectory tracking algorithms for mechanical systems can only stabilise reference trajectories that have constant energy. This paper overcomes this limitation by deriving a single variable Hamiltonian model for the…

Systems and Control · Electrical Eng. & Systems 2021-07-30 Robert Mahony

Idealized numerical simulation is used to explore energy sinks for lee waves trapped in their bottom-intensified generating flow. In addition to the loss to explicit dissipation and reabsorption predicted by linear wave action conservation,…

Fluid Dynamics · Physics 2024-03-11 Yue Cynthia Wu , Eric Kunze , Amit Tandon , Amala Mahadevan

This contribution is devoted to cover some technical aspects related to the use of the recently proposed energy probability distribution zeros in the study of phase transitions. This method is based on the partial knowledge of the partition…

Statistical Mechanics · Physics 2017-12-13 L A S Mól , R G M Rodrigues , R A Stancioli , J C S Rocha , B V Costa

Dynamic state and parameter estimation methods for dynamic security assessment in power systems are becoming increasingly important for system operators. Usually, the data used for this type of applications stems from phasor measurement…

Systems and Control · Electrical Eng. & Systems 2022-09-01 Nicolai Lorenz-Meyer , René Suchantke , Johannes Schiffer

In many urban areas of the developing world, piped water is supplied only intermittently, as valves direct water to different parts of the water distribution system at different times. The flow is transient, and may transition between…

Fluid Dynamics · Physics 2016-04-26 Anna M. Lieb , Chris H. Rycroft , Jon Wilkening

Power flow analysis is used to evaluate the flow of electricity in the power system network. Power flow calculation is used to determine the steady-state variables of the system, such as the voltage magnitude/phase angle of each bus and the…

Systems and Control · Electrical Eng. & Systems 2022-05-24 Thuan Pham , Xingpeng Li

Motivated by the need to localise faults along electrical power lines, this paper adopts a frequency-domain approach to parameter estimation for an infinite-dimensional linear dynamical system with one spatial variable. Since the time of…

Systems and Control · Electrical Eng. & Systems 2023-10-23 Daniel Selvaratnam , Amritam Das , Henrik Sandberg
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