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We study the dissipation of moving magnets in levitation above a superconductor. The rotation motion is analyzed using optical tracking techniques. It displays a remarkable regularity together with long damping time up to several hours. The…

Mesoscale and Nanoscale Physics · Physics 2015-06-16 Jérémie Druge , Oscar Laurent , Marie-Aude Méasson , Ivan Favero

Traditional synchronous generators with rotational inertia are being replaced by low-inertia renewable energy resources (RESs) in many power grids and operational scenarios. Due to emerging market mechanisms, inherent variability of RESs,…

Optimization and Control · Mathematics 2019-03-05 Yi Guo , Tyler H. Summers

A theory for the electromagnetic response of type-II superconductors close beyond the critical state is presented. Our formulation relies on general physical principles applied to the superconductor as a thermodynamic system. Equilibrium…

Superconductivity · Physics 2012-07-30 Antonio Badia , Carlos Lopez

A simple analytical expression is presented for hysteretic ac loss $Q$ of a superconducting strip simultaneously exposed to an ac transport current $I_0\cos\omega t$ and a phase-different ac magnetic field $H_0\cos(\omega t+\theta_0)$. On…

Superconductivity · Physics 2015-06-25 Yasunori Mawatari , Kazuhiro Kajikawa

Transient stability is crucial to the reliable operation of power systems. Existing theories rely on the simplified electromechanical models, substituting the detailed electromagnetic dynamics of inductor and capacitor with their impedance…

Systems and Control · Electrical Eng. & Systems 2025-02-17 Xinyuan Jiang , Constantino M. Lagoa , Yan Li

We calculate the magnetization of a two-dimensional superconductor in a perpendicular magnetic field near its Kosterlitz-Thouless transition and at lower temperatures. We find that the critical behavior is more complex than assumed in the…

Superconductivity · Physics 2013-05-29 Vadim Oganesyan , David A. Huse , S. L. Sondhi

The levitation forces between a permanent magnet and a coaxial superconducting disk after different magnetization processes are measured. Significant effect of the magnetization process on the levitation force is observed. Theoretical…

Superconductivity · Physics 2009-11-10 L. Liu , Y. Hou , C. Y. He , Z. X. Gao , L. Xiao , H. T. Ren , Y. L. Jiao , M. H. Zheng

Incorporating renewable energy sources into modern power grids has significantly decreased system inertia, which has raised concerns about power system vulnerability to disturbances and frequency instability. The conventional methods for…

Systems and Control · Electrical Eng. & Systems 2025-04-29 Negar Monir , Mahdieh S. Sadabadi , Sadegh Soudjani

The goal of this research is the study of the thermomagnetic consequences in isotropic type-II superconductors, subjected to multi-component magnetic fields $\mathbf{H}_a = H_{ay}\hat{y}+H_{az}\hat{z}$, because the instability field…

Superconductivity · Physics 2018-09-24 O. A. Hernández-Flores , J. Gutiérrez-Gutiérrez , C. Romero-Salazar

One of the main tasks during the design of a superconducting electrical machine is the estimation of losses in the superconducting coils. These losses can be decisive in such applications since they influence the cooling power requirements…

The dependence of the magnetic field strength required for levitation of a melt textured, single domain YBCO superconductor disc on the frequency of the current generating the levitating magnetic field has been investigated. The magnetic…

Superconductivity · Physics 2015-06-11 Hamilton Carter , Stephen Pate , George Goedecke

In this work a design is proposed for an active, permanent magnet based, self-propelled magnetic bearing i.e. levitating motor having the following features : (a) simple winding structure, (b) high load supporting capacity, (c) no…

Classical Physics · Physics 2017-02-15 B Shayak

We study the 2D full Ginzburg-Landau energy with a periodic rapidly oscillating, discontinuous and [strongly] diluted pinning term using a perturbative argument. This energy models the state of an heterogeneous type II supercon-ductor…

Analysis of PDEs · Mathematics 2019-04-05 Mickaël Dos Santos

The accurate modelling and simulation of electric devices involving ferromagnetic materials requires the appropriate consideration of magnetic hysteresis. We discuss the systematic incorporation of the energy-based vector hysteresis model…

Numerical Analysis · Mathematics 2025-07-22 Herbert Egger , Felix Engertsberger

The wide deployment of renewable generation and the gradual decrease in the overall system inertia make modern power grids more vulnerable to transient instabilities and unacceptable frequency fluctuations. Time-domain simulation-based…

Optimization and Control · Mathematics 2020-03-03 Dongchan Lee , Liviu Aolaritei , Thanh Long Vu , Konstantin Turitsyn

We present a formalism for computing the complexity of metastable states and the zero-temperature magnetic hysteresis loop in the soft-spin random-field model in finite dimensions. The complexity is obtained as the Legendre transform of the…

Disordered Systems and Neural Networks · Physics 2015-05-20 M. L. Rosinberg , G. Tarjus

Current and field profiles, and magnetization and AC losses are calculated for an array of infinitely long superconducting tapes arranged vertically in a perpendicularly applied magnetic field. Calculations are based on the critical state…

Superconductivity · Physics 2007-05-23 Alvaro Sanchez , Carles Navau , Enric Pardo

The stable and metastable states of different configurations of a loop in the form of an eight is studied in the presence of a magnetic field. We find that for certain configurations the current is equal to zero for any value of the…

Superconductivity · Physics 2007-05-23 D. Y. Vodolazov , F. M. Peeters

The case of a hard type II superconductor in the form of strip with elliptic cross-section when placed in transverse magnetic field is studied. We approach the problem in two steps, both based on the critical-state model. First we calculate…

Superconductivity · Physics 2015-06-24 F. Gomory , R. Tebano , A. Sanchez , E. Pardo , C. Navau , I. Husek , F. Strycek , P. Kovac

In many cases, the critical-state theory can be treated as a suffi ciently accurate approximation for the modelling of the magnetic properties of superconductors. In the present work, the magnetostrictive hysteresis is computed for a quite…

supr-con · Physics 2009-10-28 Z. Kozioł , R. A. Dunlap