OICC Press Journal of Theoretical and Applied Physics 2251-7235 6 1 2023 11 17 A new form of Grad-Shafranov equation for a tokomak with an elongated cross section 10.1186/2251-7235-6-34 EN Alireza Seife Khajeh Marjan Department of Atomic and Molecular Physics, Science and Research Branch, Islamic Azad University, Tehran, Iran Samad Sobhanian Department of Atomic and Molecular Physics, Science and Research Branch, Islamic Azad University, Tehran, Iran Journal Article 2023 11 17 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.