Electromagnetic Estimates of the Internal Inductance in Tokamaks

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Abstract

The study is focused on the formula proposed by M. Ferrara et al. [Nucl. Fusion 48, 065002 (2008)] as an upper bound on the value of the internal inductance 
 in tokamaks. That was postulated to be true under the assumption that the toroidal current density does not change sign. It is shown here that the latter condition allows the results for  above the mentioned “upper bound.” This is demonstrated explicitly with easily integrable distributions and the outcome exceeding the bound by 30% for a circular plasma. A counterexample is also presented for an elongated plasma. The analysis proves that the electromagnetic approach based on comparison of various current distributions only is insufficient for evaluation of  because the result must also depend on the plasma pressure.

About the authors

V. D. Pustovitov

National Research Centre “Kurchatov Institute”; National Research Nuclear University MEPhI

Author for correspondence.
Email: Pustovitov_VD@nrcki.ru
123182, Moscow, Russia; 115409, Moscow, Russia

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