TY - EJOUR AU - Marjan, Alireza Seife Khajeh AU - Sobhanian, Samad PY - 2023 DA - November TI - A new form of Grad-Shafranov equation for a tokomak with an elongated cross section T2 - Journal of Theoretical and Applied Physics VL - 6 L1 - https://old.oiccpress.com/journal-of-theoretical-and-applied-physics/article/a-new-form-of-grad-shafranov-equation-for-a-tokomak-with-an-elongated-cross-section/ DO - 10.1186/2251-7235-6-34 N2 - AbstractDifferent forms of the well-known Grad-Shafranov (G-S) equations that define the equilibrium behavior of tokomak plasma have been already obtained. None of these equations contain explicitly the triangularity δ and the elongation ratio ks. The aim of this work is to obtain a new form of G-S equation which includes both the triangularity and the elongation ratio. For verifying the correctness of the obtained equation, the triangularity is set to 0, which leads to a G-S equation for circular cross section. Also, the magnetic field and current density obtained from this new G-S equation is reduced to the quantities already derived for circular cross section. IS - 1 PB - OICC Press KW - 28.52, 52.25, 52.5528.52, Elongation, G, S, S equation, Triangularity, Xz, Magnetic field, Current density EN -