skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: In silico optimization of critical currents in superconductors

Abstract

For many technological applications of superconductors the performance of a material is determined by the highest current it can carry losslessly-the critical current. In turn, the critical current can be controlled by adding nonsuperconducting defects in the superconductor matrix. Here we report on systematic comparison of different local and global optimization strategies to predict optimal structures of pinning centers leading to the highest possible critical currents. We demonstrate performance of these methods for a superconductor with randomly placed spherical, elliptical, and columnar defects.

Authors:
; ;
Publication Date:
Research Org.:
Argonne National Lab. (ANL), Argonne, IL (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR) (SC-21)
OSTI Identifier:
1413748
DOE Contract Number:  
AC02-06CH11357
Resource Type:
Journal Article
Journal Name:
Physical Review E
Additional Journal Information:
Journal Volume: 96; Journal Issue: 1; Journal ID: ISSN 2470-0045
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY

Citation Formats

Kimmel, Gregory, Sadovskyy, Ivan A., and Glatz, Andreas. In silico optimization of critical currents in superconductors. United States: N. p., 2017. Web. doi:10.1103/PhysRevE.96.013318.
Kimmel, Gregory, Sadovskyy, Ivan A., & Glatz, Andreas. In silico optimization of critical currents in superconductors. United States. doi:10.1103/PhysRevE.96.013318.
Kimmel, Gregory, Sadovskyy, Ivan A., and Glatz, Andreas. Sat . "In silico optimization of critical currents in superconductors". United States. doi:10.1103/PhysRevE.96.013318.
@article{osti_1413748,
title = {In silico optimization of critical currents in superconductors},
author = {Kimmel, Gregory and Sadovskyy, Ivan A. and Glatz, Andreas},
abstractNote = {For many technological applications of superconductors the performance of a material is determined by the highest current it can carry losslessly-the critical current. In turn, the critical current can be controlled by adding nonsuperconducting defects in the superconductor matrix. Here we report on systematic comparison of different local and global optimization strategies to predict optimal structures of pinning centers leading to the highest possible critical currents. We demonstrate performance of these methods for a superconductor with randomly placed spherical, elliptical, and columnar defects.},
doi = {10.1103/PhysRevE.96.013318},
journal = {Physical Review E},
issn = {2470-0045},
number = 1,
volume = 96,
place = {United States},
year = {2017},
month = {7}
}

Works referenced in this record:

Vortex-induced negative magnetoresistance and peak effect in narrow superconducting films
journal, July 2013


On search directions for minimization algorithms
journal, December 1973


`` Direct Search'' Solution of Numerical and Statistical Problems
journal, April 1961


Derivative-free optimization: a review of algorithms and comparison of software implementations
journal, July 2012


Vortices in high-performance high-temperature superconductors
journal, September 2016


A Convergent Variant of the Nelder–Mead Algorithm
journal, April 2002

  • Price, C. J.; Coope, I. D.; Byatt, D.
  • Journal of Optimization Theory and Applications, Vol. 113, Issue 1
  • DOI: 10.1023/A:1014849028575

On the Convergence of Pattern Search Algorithms
journal, February 1997


Particle swarm optimization: An overview
journal, August 2007


Superconducting films with antidot arrays—Novel behavior of the critical current
journal, May 2006

  • Berdiyorov, G. R.; Milošević, M. V.; Peeters, F. M.
  • Europhysics Letters (EPL), Vol. 74, Issue 3
  • DOI: 10.1209/epl/i2006-10013-1

On the Local Convergence of Pattern Search
journal, January 2003

  • Dolan, Elizabeth D.; Lewis, Robert Michael; Torczon, Virginia
  • SIAM Journal on Optimization, Vol. 14, Issue 2
  • DOI: 10.1137/S1052623400374495

Convergence Properties of the Nelder--Mead Simplex Method in Low Dimensions
journal, January 1998

  • Lagarias, Jeffrey C.; Reeds, James A.; Wright, Margaret H.
  • SIAM Journal on Optimization, Vol. 9, Issue 1
  • DOI: 10.1137/S1052623496303470

Rapid doubling of the critical current of YBa2Cu3O7−δ coated conductors for viable high-speed industrial processing
journal, November 2015

  • Leroux, M.; Kihlstrom, K. J.; Holleis, S.
  • Applied Physics Letters, Vol. 107, Issue 19
  • DOI: 10.1063/1.4935335

Three dimensional analyses of flux pinning centers in Dy-doped YBa2Cu3O7−x coated superconductors by STEM tomography
journal, December 2009

  • Ortalan, V.; Herrera, M.; Rupich, M.W.
  • Physica C: Superconductivity, Vol. 469, Issue 23-24, p. 2052-2059
  • DOI: 10.1016/j.physc.2009.08.012

Vortices in high-temperature superconductors
journal, October 1994


Decoupling and tuning competing effects of different types of defects on flux creep in irradiated YBa 2 Cu 3 O 7− δ coated conductors
journal, November 2016


Optimization of vortex pinning by nanoparticles using simulations of the time-dependent Ginzburg-Landau model
journal, February 2016


The magnetic properties of superconducting alloys
journal, January 1957


Second-Generation High-Temperature Superconductor Wires for the Electric Power Grid
journal, August 2012


Convergence of the Nelder--Mead Simplex Method to a Nonstationary Point
journal, January 1998


Novel Commensurability Effects in Superconducting Films with Antidot Arrays
journal, May 2006


Stable large-scale solver for Ginzburg–Landau equations for superconductors
journal, August 2015

  • Sadovskyy, I. A.; Koshelev, A. E.; Phillips, C. L.
  • Journal of Computational Physics, Vol. 294
  • DOI: 10.1016/j.jcp.2015.04.002

Stochastic global optimization methods part I: Clustering methods
journal, September 1987

  • Rinnooy Kan, A. H. G.; Timmer, G. T.
  • Mathematical Programming, Vol. 39, Issue 1
  • DOI: 10.1007/BF02592070

Stochastic global optimization methods part II: Multi level methods
journal, September 1987

  • Rinnooy Kan, A. H. G.; Timmer, G. T.
  • Mathematical Programming, Vol. 39, Issue 1
  • DOI: 10.1007/BF02592071

Analysis of Generalized Pattern Searches
journal, January 2002


Progress in Nanoengineered Microstructures for Tunable High-Current, High-Temperature Superconducting Wires
journal, February 2008

  • Holesinger, T. G.; Civale, L.; Maiorov, B.
  • Advanced Materials, Vol. 20, Issue 3
  • DOI: 10.1002/adma.200700919

The particle swarm optimization algorithm: convergence analysis and parameter selection
journal, March 2003


Effect of hexagonal patterned arrays and defect geometry on the critical current of superconducting films
journal, February 2017


Toward Superconducting Critical Current by Design
journal, March 2016

  • Sadovskyy, Ivan A.; Jia, Ying; Leroux, Maxime
  • Advanced Materials, Vol. 28, Issue 23
  • DOI: 10.1002/adma.201600602

Simulation of the Vortex Dynamics in a Real Pinning Landscape of YBa 2 Cu 3 O 7 δ Coated Conductors
journal, January 2016