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3D Finite Element Modelling of ICRH in JET
KTH, School of Electrical Engineering and Computer Science (EECS).
2019 (English)Independent thesis Advanced level (degree of Master (Two Years)), 20 credits / 30 HE creditsStudent thesis
Abstract [en]

This master's thesis assesses the possibility of using the nite element method to solve the electromagneticwave equation in a fusion plasma in 3D. In particular, the frequency is chosen to match that of ioncyclotron resonance heating in the fusion experiment JET. In this work, a brief introduction on fusion isgiven, followed by an explanation of the damping process in a plasma. A projection of the 3D wave eldonto a poloidal plane is compared to the 2D wave eld produced by the code FEMIC for validation ofthe developed 3D code. The comparison was done with good results.The power spectrum and coupling resistance per toroidal mode obtained from the 3D model arealso compared to the corresponding quantities obtained from an analytical slab model. Though somediscrepancies can be seen near the toroidal mode number n = 0 and for higher mode numbers (jnj > 70),the appearance of the power spectra are similar. The dierence near n = 0 is attributed to inducedcurrents in the reactor wall, whereas for higher mode numbers, the dierence is likely due to bad resolution.The induced currents in the wall causes singularities in the chosen model of the coupling resistance. Thisproduces unreliable predictions of the coupling resistance.

Abstract [sv]

Denna masteruppsats utvärderar möjligheten att använda finita elementmetoden till att lösa den elektro-magnetiska vågekvationen i ett fusionsplasma i 3D. Speciellt väljs frekvensen för att matcha frekvensen för uppvärmning genom joncyklotronresonans i fusionsexperimentet JET. I detta arbete ges en översiktlig introduktion till fusion, åtföljd av en förklaring av dämpningsprocessen i ett plasma. En projektion av 3D-vågfältet på ett poloidalt plan jämförs med 2D-vågfältet producerat av 2D-koden FEMIC för att validera den utvecklade 3D-koden. Jämförelsen gjordes med gott resultat.| |Effektspektrumet och kopplingsresistansen per toroidal mod från 3D-modellen jämförs också med motsvarande storheter från en analytisk 1D-modell. Trots att vissa skillnader kan ses nära det toroidala modtalet n = 0 och för högre modtal ( n > 70), är utseendet på effektspektrumen lika. Skillnaden nära n = 0 tillskrivs de inducerade strömmarna i reaktorväggen, medan för högre modtal beror skillnaden troligen på dålig upplösning. De inducerade strömmarna i väggen ger upphov till singulariteter i den valda modellen för kopplingsresistansen. Det resulterar i otillförlitliga värden tansen.

Place, publisher, year, edition, pages
2019. , p. 32
Series
TRITA-EECS-EX ; 2019:25
National Category
Engineering and Technology
Identifiers
URN: urn:nbn:se:kth:diva-253263OAI: oai:DiVA.org:kth-253263DiVA, id: diva2:1324296
Educational program
Master of Science - Electrophysics
Supervisors
Examiners
Available from: 2019-06-13 Created: 2019-06-13 Last updated: 2019-06-13Bibliographically approved

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