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A special analytical solution of the Grad–Shafranov equation (GSE) is presented with source functions, where the plasma pressure is linear in ψ and the squared poloidal current has both a quadratic and a linear ψ term. Half of internal inductance plus poloidal beta and plasma position have been calculated for a typical discharge of IR-T1 tokamak with circular cross-section. In the presented solution, six parameters are measured by the magnetic measurements. The calculated parameters approach the values measured by discrete magnetic coils in the middle of IR-T1 discharge.

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