@article{Marjan_Sobhanian_2023, title={A new form of Grad-Shafranov equation for a tokomak with an elongated cross section}, volume={6}, url={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/}, DOI={10.1186/2251-7235-6-34}, abstractNote={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.}, number={1}, journal={Journal of Theoretical and Applied Physics}, publisher={OICC Press}, author={Marjan, Alireza Seife Khajeh and Sobhanian, Samad}, year={2023}, month={Nov.}, keywords={Elongation, G, S, S equation, Triangularity, Xz, Magnetic field, Current density, 28.52, 52.25, 52.5528.52} }