Development of theoretical model for 3D plasma energy behavior and characteristics

Abstract

In this paper, research has been conducting on calculating full plasma energy and magnetic field cross sections in static as well as in tilting position for analyzing plasma vertical displacement event behavior. Consequently, the main concern of the research is to developed plasma energy and shape model. First, the developed 3D shape model allows an effective way to study the shape of plasma behavior of main plasma characteristics under controlled conditions including sensitive dependent on initial condition based on isolated points. Secondly, the developed 3D plasma energy model denotes every calculated point and analyze magnetic field of each cross section under different values of α and β according to magnetic field produced by a circular current loop. This theoretical approach showed that the individual points ((a, b) & (r, z)) with static and tilting moments are able to develop the three-dimension coordinates system, based on R0 = 1.7 ∼ 1.8, B0 = 3.5T and plasma current IP ≤ 1MA. Furthermore, 195 × 12 (both states) circle current loop of magnetic field has been calculated as well. The ‘sinβ cross section’ for every 30° in both states (static and tilt with alpha variations) calculates the total plasma energy. Therefore, we have developed computational codes in Matlab program to calculate the values of full plasma energy in EAST. Energy from initial to final state, VDE and external force behavior, poloidal and toroidal fix degree of every cross section that depends on each current loop of magnetic field have been analyzed based on whole plasma energy data. Copyright © 2015 John Wiley & Sons, Ltd.