Thermal Conduction Model I

  This model is given by Eq. (2) in Ref. [8]. If the pedestal stored energy, , is known, the pedestal temperature can be found as
 
where V is the plasma volume. Note that the constant of 0.92 is the fraction of the total volume occupied by the pedestal [7]. The plasma volume can be estimated as
 
By fitting to all types of ELMy H-mode discharges in the pedestal database DB3V2 [8], it was found that the pedestal stored energy is
 
where I is the plasma current in unit of MA, is the loss power in unit of MW, is the density in the unit of 10¹⁹ particles per m³, is the inverse aspect ratio and is the shaping factor (, where q₉₅ is the safety factor at 95% flux surface and is the cylindrical safety factor defined as ). This formula yields the RMSE of 23.5% with the data [8]. This scaling satisfies both the Kadomtsev and the gyro-Bohm constraints with .

By combining Eqs. ,  and , the pedestal temperature in unit of keV can be found as