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In this paper we develop a method based on the critical state for calculating the current and field distributions and the AC losses in a cable made of curved thin superconducting tapes. The method also includes the possibility of…

Superconductivity · Physics 2015-06-22 Roberto Brambilla , Francesco Grilli

We describe the hardware design, force-rendering approach, and evaluation of a new reconfigurable haptic interface consisting of a network of hybrid motor-brake actuation modules that apply forces via cables. Each module contains both a…

Human-Computer Interaction · Computer Science 2026-03-10 Jan Ulrich Bartels , Alexander Achberger , Katherine J. Kuchenbecker , Michael Sedlmair

We study current fluctuations in a phase coherent Y-shaped conductor connected to external leads and voltage probes. The voltage probes are taken to have finite impedances and thus can cause voltage fluctuations in the circuit. Applying the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Shin-Tza Wu , S. -K. Yip

We present numerical reconstructions of anisotropic conductivity tensors in three dimensions, from knowledge of a finite family of power density functionals. Such a problem arises in the coupled-physics imaging modality Ultrasound Modulated…

Numerical Analysis · Mathematics 2018-06-13 François Monard , Donsub Rim

HVDC networks offer several advantages over traditional HVAC systems, particularly for long-distance power transmission and integration of renewable energy sources, such as reduced losses and enhanced stability and control, but also…

Systems and Control · Electrical Eng. & Systems 2025-11-13 Iva Radecic , Bozidar Filipovic-Grcic , Paul Akiki , Alain Xemard , Bruno Jurisic

The inverse conductivity problem aims at determining the unknown conductivity inside a bounded domain from boundary measurements. In practical applications, algorithms based on minimizing a regularized residual functional subject to PDE…

Numerical Analysis · Mathematics 2025-10-02 Lefu Cai , Zhixin Liu , Minghui Song , Xianchao Wang

'Coil design' is an inverse problem in which arrangements of wire are designed to generate a prescribed magnetic field when energized with electric current. The design of gradient and shim coils for magnetic resonance imaging (MRI) are…

Classical Physics · Physics 2010-02-19 Michael Poole , Pierre Weiss , Hector Sanchez Lopez , Michael Ng , Stuart Crozier

Power decoding is a partial decoding paradigm for arbitrary algebraic geometry codes for decoding beyond half the minimum distance, which usually returns the unique closest codeword, but in rare cases fails to return anything. The original…

Algebraic Geometry · Mathematics 2021-05-20 Sven Puchinger , Johan Rosenkilde , Grigory Solomatov

This tutorial paper shows how to compute the DC (or low-frequency) resistance, inductance and capacitance of a pair of parallel wires using the finite element method. A three-dimensional infinite domain (open boundary) modeling of…

Computational Physics · Physics 2026-01-16 Marc Boulé

This investigation is motivated by the problem of optimal design of cooling elements in modern battery systems. We consider a simple model of two-dimensional steady-state heat conduction described by elliptic partial differential equations…

Numerical Analysis · Mathematics 2013-07-05 Xiaohui Peng , Katsiaryna Niakhai , Bartosz Protas

We investigate the geometry of injection regions and its relationship to optimization of power flows in tree networks. The injection region is the set of all vectors of bus power injections that satisfy the network and operation…

Optimization and Control · Mathematics 2016-11-17 Javad Lavaei , David Tse , Baosen Zhang

We use the Hartree-Fock method to study an interacting one-dimensional electron system on a finite wire, partially depleted at the center by a smooth potential barrier. A uniform one-Tesla Zeeman field is applied throughout the system. We…

Mesoscale and Nanoscale Physics · Physics 2012-10-29 Jiang Qian , Bertrand I. Halperin

High impedance connecting links and cables are modeled at low frequency in terms of their impedance to ground and to neigbouring connecting links. The impedance is usually considered to be the parallel combination of a resistance and a…

Instrumentation and Detectors · Physics 2013-07-18 Andrea Giachero , Claudio Gotti , Matteo Maino , Gianluigi Pessina

This paper presents the calculation of the electrical power transported by the electromagnetic fields of two parallel wires carrying opposite DC currents. The Poynting vector is developed in bipolar coordinates and symbolically integrated…

Classical Physics · Physics 2023-12-22 Marc Boulé

The speed of integrated circuits is ultimately limited by the mobility of electrons or holes, which depend on the effective mass in a semiconductor. Here, building on an analogy with electromagnetic metamaterials and transformation optics,…

Mesoscale and Nanoscale Physics · Physics 2012-08-31 Mario G. Silveirinha , Nader Engheta

The fact that the capacitance coefficients for a set of conductors are geometrical factors is derived in most electricity and magnetism textbooks. We present an alternative derivation based on Laplace's equation that is accessible for an…

Classical Physics · Physics 2008-01-14 William J. Herrera , Rodolfo A. Diaz

The idea of replacing an edgy perfectly conducting boundary by the corresponding interface filled with a dielectric material of extreme complex permittivities, is examined in the present work. A semi-analytical solution to the corresponding…

Classical Physics · Physics 2015-06-03 Constantinos A. Valagiannopoulos , Ari Sihvola

Use of 2G HTS coated conductors in several power applications has become popular in recent years. Their large current density under high magnetic fields makes them suitable candidates for high power capacity applications such as stacks,…

Superconductivity · Physics 2015-06-17 Victor M. R. Zermeño , Francesco Grilli

This paper presents a detailed modeling and analysis regarding the dispersion characteristics of multilayered open coaxial waveguides. The study is motivated by the need of improved modeling and an increased physical understanding about the…

Mathematical Physics · Physics 2023-07-19 Sven Nordebo , Gokhan Cinar , Stefan Gustafsson , Borje Nilsson

We investigate the electromagnetic interactions of cable harnesses in the time domain. We present a novel model that allows for curved cables, extending the standard assumptions typically made in transmission line modeling. The cables are…

Analysis of PDEs · Mathematics 2025-09-04 Markus Clemens , Michael Günther , Timo Reis , Nathanael Skrepek
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