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Pisma v Zhurnal Tekhnicheskoi Fiziki, 2024 Volume 50, Issue 7, Pages 20–22 (Mi pjtf6642)

Beta poloidal in the “canonical” Grad–Shafranov equation

Yu. V. Gott, V. È. Lukash

National Research Centre "Kurchatov Institute", Moscow, Russia

Abstract: The paper considers the relation between constraint parameter $\beta_p$ and parameter $\beta$ which is used in the Grad–Shafranov equation written in the “canonical” form. It is shown that, when $0\le\beta_p\le 3.4$, it is possible to use $\beta_p$ instead of $\beta$. When $\beta_p$ is higher, this dependence gets violated. This effect was assumed to be associated with the fact that, when $\beta_p$ values are high, in the plasma there appear regions where the plasma poloidal flux, longitudinal current density, and pressure become negative.

Keywords: Grad–Shafanov equation, constraint parameters, plasma pressure, aspect ratio.

Received: 20.11.2023
Revised: 16.12.2023
Accepted: 16.12.2023

DOI: 10.61011/PJTF.2024.07.57464.19809



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