Skip to main content
Fachgebiete
Automobil + Motoren Bauwesen + Immobilien Business IT + Informatik Elektrotechnik + Elektronik Energie + Nachhaltigkeit Finance + Banking Management + Führung Marketing + Vertrieb Maschinenbau + Werkstoffe Versicherung + Risiko
DE
EN
Bücher
Zeitschriften
Themenseiten
Organisationspsychologie Projektmanagement Marketing Smart Manufacturing
Weitere Formate
Podcasts Webinare Technik Webinare Wirtschaft Kongresse Veranstaltungskalender Awards
Jetzt Einzelzugang starten
Zugang für Unternehmen
Referenzkunden
SLX-Digitalkonferenz: Zukunftswerkstatt 2024

Mehr Umsatz mit Top-Kontakten

Am 7. Mai erfahren Sie, wie Vertriebsteams Leadgenerierung, Leadnurturing und Leadstrategien effizient steuern können.
Erweiterte Suche
Anmelden
nach oben
Erschienen in:
Buchtitelbild

2021 | OriginalPaper | Buchkapitel

1. Introduction

verfasst von : Idoia Cortes Garcia

Erschienen in: Mathematical Analysis and Simulation of Field Models in Accelerator Circuits

Verlag: Springer International Publishing

Einloggen

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

This chapter gives the motivation behind the analysis and simulation methods presented in this thesis and introduces the previous work performed in related topics.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Jetzt informieren

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Jetzt informieren
Nächstes Kapitel Modelling
Fußnoten
Literatur
1.
Bartel A, Pulch R, (2007) A concept for classification of partial differential algebraic equations in nanoelectronics. In: Bonilla LL, Moscoso M, Platero G, Vega JM (eds) Progress in industrial mathematics at ECMI 2006. Mathematics in industry, vol 12. Springer, Berlin
2.
Tsukerman IA, Konrad A, Meunier G, Sabonnadiére JC (1993) Coupled field-circuit problems: trends and accomplishments. IEEE Trans Magn 29(2):1701–1704CrossRef
3.
Schöps S, De Gersem H, Bartel A (2010) A cosimulation framework for multirate time-integration of field/circuit coupled problems. IEEE Trans Magn 46(8):3233–3236CrossRef
4.
Bortot L, Auchmann B, Cortes Garcia I et al (2018) STEAM: a hierarchical co-simulation framework for superconducting accelerator magnet circuits. IEEE Trans Appl Super 28(3)
5.
Dahlerup-Petersen K, Denz R, Gomez-Costa JL et al (1999) The protection system for the superconducting elements of the large hadron collider at CERN. In: Proceedings of the 1999 particle accelerator conference (Cat. No. 99CH36366), vol 5, pp 3200–3202
6.
Ravaioli E (2015) CLIQ: a new quench protection technology for superconducting magnets. PhD thesis, University of Twente
7.
Bortot L, Maciejewski M, Prioli M et al (2016) Simulation of electro-thermal transients in superconducting accelerator magnets with COMSOL multiphysics. In: Proceedings of the European COMSOL conference, Munich, Oct 2016
8.
Maciejewski M, Bayrasy P, Wolf K et al (2018) Coupling of magnetothermal and mechanical superconducting magnet models by means of mesh-based interpolation. IEEE Trans Appl Super 28(3)
9.
Hannalla AY, MacDonald DC (1976) Numerical analysis of transient field problems in electrical machines. Proc Inst Electr Eng 123(9):893–898CrossRef
10.
Potter PG, Cambrell GK (1983) A combined finite element and loop analysis for nonlinearly interacting magnetic fields and circuits. IEEE Trans Magn 19(6):2352–2355CrossRef
11.
Rollins JG, Choma J (1988) Mixed-mode PISCES-SPICE coupled circuit and device solver. IEEE Trans Comput Aided Des Integr Circ Syst 7(8):862–867CrossRef
12.
Mayaram K, Pederson DO (1992) Coupling algorithms for mixed-level circuit and device simulation. IEEE Trans Comput Aided Des Integr Circ Syst 11(8):1003–1012CrossRef
13.
Grasser K-T, Selberherr S (2000) Mixed-mode device simulation. Microelectron J 31(11):873–881
14.
Günther M (2000) A joint DAE/PDE model for interconnected electrical networks. Math Model Syst 1(1):000–111MATH
15.
Costa MC, Nabeta SI, Cardoso JR (2000) Modified nodal analysis applied to electric circuits coupled with FEM in the simulation of a universal motor. IEEE Trans Magn 36(4):1431–1434
16.
17.
Estévez Schwarz D, Tischendorf C (2000) Structural analysis of electric circuits and consequences for MNA. Int J Circ Theor Appl 28(2):131–162MATHCrossRef
18.
Nicolet A, Delincé F (1996) Implicit Runge-Kutta methods for transient magnetic field computation. IEEE Trans Magn 32(3):1405–1408CrossRef
19.
Baumanns S, Clemens M, Schöps S (2013) Structural aspects of regularized full Maxwell electrodynamic potential formulations using FIT. In: Manara G (ed) Proceedings of 2013 URSI international symposium on electromagnetic theory (EMTS). IEEE, pp 1007–1010
20.
21.
Bartel A, Baumanns S, Schöps S (2011) Structural analysis of electrical circuits including magnetoquasistatic devices. APNUM 61:1257–1270MathSciNetMATH
22.
Alì G, Bartel A, Günther M, Tischendorf C (2003) Elliptic partial differential-algebraic multiphysics models in electrical network design. M3AS 13(9):1261–1278
23.
Cortes Garcia I, Schöps S, Strohm C, Tischendorf C (2020) Generalized elements for a structual analysis of circuits. Progress in differential-algebraic equations. arXiv:​1912.​05199, accepted
24.
Lelarasmee E, Ruehli AE, Sangiovanni-Vincentelli AL (1982) The waveform relaxation method for timedomain analysis of large scale integrated circuits. IEEE Trans Comput Aided Des Integr Circ Syst 1(3):131–145CrossRef
25.
Burrage K (1995) Parallel and sequential methods for ordinary differential equations. Oxford University Press, OxfordMATH
26.
Jackiewicz Z, Kwapisz M (1996) Convergence of waveform relaxation methods for differential-algebraic systems. SIAM J Numer Anal 33(6):2303–2317MathSciNetMATHCrossRef
27.
28.
Bartel A, Brunk M, Günther M, Schöps S (2013) Dynamic iteration for coupled problems of electric circuits and distributed devices. SIAM J Sci Comput 35(2):B315–B335MathSciNetMATHCrossRef
29.
Bartel A, Brunk M, Schöps S (2014) On the convergence rate of dynamic iteration for coupled problems with multiple subsystems. J Comput Appl Math 262:14–24MathSciNetMATHCrossRef
30.
Bedrosian G (1993) A new method for coupling finite element field solutions with external circuits and kinematics. IEEE Trans Magn 29(2):1664–1668CrossRef
31.
Zhou P, Lin D, Fu WN, Ionescu B, Cendes ZJ (2006) A general co-simulation approach for coupled field-circuit problems. IEEE Trans Magn 42(4):1051–1054CrossRef
32.
Schöps S, De Gersem H, Bartel A (2012) Higher-order cosimulation of field/circuit coupled problems. IEEE Trans Magn 48(2):535–538MATHCrossRef
33.
34.
35.
36.
Nataf F (2007) Recent developments on optimized Schwarz methods. In: Widlund OB, Keyes DE (eds) Domain decomposition methods in science and engineering XVI. Springer, Berlin, Heidelberg, pp 115–125CrossRef
37.
38.
Al-Khaleel M, Gander MJ, Ruehli AE (2014) Optimization of transmission conditions in waveform relaxation techniques for RC circuits. SIAM J Numer Anal 52(2):1076–1101MathSciNetMATHCrossRef
39.
Nshimiyimana JdD, Plumier F, Dular P, Geuzaine C (2016) Co-simulation of of finite element and circuit solvers using optimized waveform relaxation. In: IEEE international energy conference (ENERGYCON), pp 1–6
40.
41.
Lions J-L, Maday Y, Turinici G (2001) A parareal in time discretization of PDEs. Comptes Rendus Acad Sci Ser I: Math 332(7):661–668MathSciNetMATH
42.
Gander MJ, Vandewalle S (2007) On the superlinear and linear convergence of the parareal algorithm. In: Domain decomposition methods in science and engineering XVI. Lecture notes in computational science and engineering, vol 55. Springer, Berlin, pp 291–298
43.
44.
Gander MJ, Hairer E (2008) Nonlinear convergence analysis for the parareal algorithm. In: Langer U, Discacciati M, Keyes DE, Widlund OB, Zulehner W (eds) Domain decomposition methods in science and engineering XVII. Springer, Berlin, Heidelberg, pp 45–56CrossRef
45.
Lamour R (1994) A shooting method for fully implicit index-2 differential-algebraic equations. Humboldt Universität Berlin
46.
Lamour R (1997) A shooting method for fully implicit index-2 differential algebraic equations. SIAM J Sci Comput 18(1):94–114MathSciNetMATHCrossRef
47.
Cadeau T, Magoules F (2011) Coupling the parareal algorithm with the waveform relaxation method for the solution of differential algebraic equations. In: 10th international symposium on distributed computing and applications to business, engineering and science, pp 15–19
48.
Schöps S, Niyonzima I, Clemens M (2018) Parallel-in-time simulation of eddy current problems using parareal. IEEE Trans Magn 54(3):1–4. arXiv:​1706.​05750
49.
Gander MJ, Kulchytska-Ruchka I, Niyonzima I, Schöps S (2019) A new parareal algorithm for problems with discontinuous sources. SIAM J Sci Comput 41(2):B375–B395. arXiv:​1803.​05503
50.
Bast D, Kulchytska-Ruchka I, Schöps S, Rain O (2020) Accelerated steady-state torque computation for induction machines using parallel-in-time algorithms. IEEE Trans Magn 56(2):1–9CrossRef
51.
52.
Gander MJ, Jiang Y-L, Li R-J (2013) Parareal Schwarz waveform relaxation methods. In: Xu J, Widlund OB, Holst M (eds) Domain decomposition methods in science and engineering XX. Springer, Berlin, Heidelberg, pp 451–458CrossRef
53.
Gander MJ (2015) 50 years of time parallel time integration. In: Carraro T, Geiger M, Körkel S, Rannacher R (eds) Multiple shooting and time domain decomposition methods. Contributions in mathematical and computational sciences, vol 9. Springer, Berlin, Heidelberg, pp 69–113
54.
Cortes Garcia I, De Gersem H, Schöps S (2019) A structural analysis of field/circuit coupled problems based on a generalised circuit element. Numer Algorithm 83:373–394. arXiv:​1801.​07081
55.
Cortes Garcia I, Schöps S, Bortot L et al (2017) Optimized field/circuit coupling for the simulation of quenches in superconducting magnets. IEEE J Multiscale Multiphys Comput Tech 2(1):97–104. arXiv:​1702.​00958
56.
Cortes Garcia I, Kulchytska-Ruchka I, Schöps S (2020) Efficient simulation of field/circuit coupled systems with parallelized waveform relaxation. IEEE Trans Magn 56(2):1–4CrossRef
Metadaten
Titel
Introduction
verfasst von
Idoia Cortes Garcia
Copyright-Jahr
2021
Buch
Mathematical Analysis and Simulation of Field Models in Accelerator Circuits

Print ISBN: 978-3-030-63272-4

Electronic ISBN: 978-3-030-63273-1

Copyright-Jahr: 2021

DOI
https://doi.org/10.1007/978-3-030-63273-1_1

Neuer Inhalt

    Bildnachweise