Champ magnétique interplanétaire

vignette|La nappe de courant héliosphérique le long de la spirale de Parker est la forme prise par le champ magnétique solaire dans le milieu interplanétaire. Le champ magnétique interplanétaire (CMI), également connu sous le nom de champ magnétique de l'héliosphère, est le champ magnétique du Soleil porté par le vent solaire à travers les planètes et autres corps du Système solaire, dans le milieu interplanétaire jusqu'au confins de l'héliosphère. Les modélisations actuelles du CMI lui donnent une forme de spirale, nommée spirale de Parker. Bien que cette approximation soit sujette à des variations générales, en raison de la variation de l'activité solaire et d'influences exercées par le milieu interstellaire, et locales, en raison d'influences exercées par les magnétosphères de certaines planètes, elle semble correspondre avec un certain degré de précision aux observations du CMI, réalisées depuis le milieu du . Un faible courant électrique d'une densité d'environ circule au voisinage de cette surface, formant une nappe de courant que l'on appelle la nappe de courant héliosphérique. Le vent solaire est un plasma composé de particules ionisées accélérées par le Soleil et s'éloignant de ce dernier à des vitesses supersoniques, voire relativistes. Cela fait en sorte que le vent solaire peut porter des lignes de champs magnétiques. La pression magnétique dominante de l'étoile, conjuguée à la rotation du Soleil, fait en sorte qu'il domine la plus grande partie de l'héliosphère sous la forme d'une spirale. vignette|upright=1.5|Schéma simplifié de l'héliosphère, représentant l'héliogaine, l'héliopause et le choc terminal. La modélisation du CMI suppose certaines hypothèses préliminaires. D'abord, il faut supposer l'état d'équilibre, c'est-à-dire que la gravitation solaire et que l'accélération du vent solaire peuvent être négligés à partir d'une certaine distance. Ainsi, la vitesse radiale devient une constante et la vitesse tangentielle est directement liée à la rotation du Soleil. Par la suite, il faut supposer que le plasma est un conducteur parfait.

Bootstrap current compensation with electron-cyclotron waves in 3D reactor-size configurations

Sergi Ferrando I Margalet

In magnetic confinement devices, the inhomogeneity of the confining magnetic field along a magnetic field line generates the trapping of particles (with low ratio of parallel to perpendicular velocities) within local magnetic wells. One of the consequences of the trapped particles is the generation of a current, known as the bootstrap current (BC), whose direction depends on the nature of the magnetic trapping. The BC provides an extra contribution to the poloidal component of the confining magnetic field. The variation of the poloidal component produces the alteration of the winding of the magnetic field lines around the flux surfaces quantified by the rotational transform ι. When ι reaches low rational values, it can trigger the generation of ideal MHD instabilities. Therefore, the BC may be responsible for the destabilisation of the configuration. This thesis is divided into two parts. In the first part, we present a self-consistent method to calculate the BC and assess its effect on equilibrium and stability in general 3D configurations. This procedure is applied to two reactor-size prototypes (both with plasma volumes ∼ 1000m3): a quasi-axisymmetric (QAS) system and a quasi helically symmetric (QHS) system with magnetic structures that develop BC in opposite directions. The BC increases with the plasma pressure, therefore its relevance is enhanced when dealing with reactor-level scenarios. The behaviour of both prototypes at reactor level values of β ≡ (kinetic plasma pressure)/(magnetic pressure) is assessed, as well as its alteration of the equilibrium and stability. In the QAS prototype, BC-consistent equilibria have been computed up to β = 6.7% and the configuration is shown to be stable up to β = 6.4%. Convergence of self-consistent BC calculations for the QHS case is achieved only up to β = 3.5%, but the configuration is unstable for β ≥ 0.6%. The relevance of symmetry breaking modes of the Fourier expansion of the confining magnetic field on the generation of BC is studied for each prototype. This proves the close relationship between magnetic structure and BC. Having established the potentially dangerous implication of the BC, principally, in reactor prototypes, a method to compensate its harmful effects is proposed in the second part of the thesis. It consists of the modelling of the current driven by externally launched ECWs within the plasma to compensate the effects of the BC. This method is flexible enough to allow the identification of the appropriate scenarios in which to generate the required CD depending on the nature of the confining magnetic field and the specific plasma parameters of the configuration. Both the BC and the CD calculations are included in a self-consistent scheme which leads to the computation of a stable BC+CD-consistent MHD equilibrium. This procedure is applied in this thesis to simulate the required CD to stabilise the QAS and QHS prototypes introduced in the first part. The estimation of the input power required and the effect of the driven current on the final equilibrium of the system is performed for several relevant scenarios and wave polarisations providing various options of stabilising driven currents. Several scenarios have been devised for each prototype in order to drive current at the appropriate location and with the desired direction. Different polarisations and launching conditions have been employed to this purpose. In particular, a HFS launched X2 ECW with an input power of 1.5MW has been shown to drive sufficient current to maintain the rotational transform below the critical value 2/3 at β = 6.4% for the QAS reactor. Correspondingly, in the QHS reactor, an X3-mode ECW of 100KW was sufficient to drive the current required to push the rotational transform below unity near the magnetic axis at β = 3%. Thus, stabilisation of BC-driven instabilities with externally launched ECWs has been achieved for both contrasting configurations. The method proposed in this thesis allows also the utilisation of EBW in the generation of CD. The possible advantages of EBCD for compensation studies are described as well as their possible application to the two prototypes under consideration. The BC+CD procedure is particularly interesting to investigate new magnetic geometries as potential candidates for fusion reactors. With this numerical tool, it is possible to assess the implications of their consistent BC when operating at reactor level. It also allows to quantify how much power would be required to maintain the system MHD stable in these circumstances. Nevertheless, this method is flexible enough to be applicable to any configuration.

EPFL2006

Bootstrap current compensation with electron-cyclotron waves in 3D reactor-size configurations

Sergi Ferrando I Margalet

EPFL2006