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Internal inductance: Difference between revisions
→Normalized internal inductance
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The [[ITER]] design uses the following approximate definition:<ref>[[doi:10.1088/0029-5515/48/12/125002|G.L. Jackson, T.A. Casper, T.C. Luce, et al., ''ITER startup studies in the DIII-D tokamak'', Nucl. Fusion '''48''', 12 (2008) 125002]]</ref> | The [[ITER]] design uses the following approximate definition:<ref>[[doi:10.1088/0029-5515/48/12/125002|G.L. Jackson, T.A. Casper, T.C. Luce, et al., ''ITER startup studies in the DIII-D tokamak'', Nucl. Fusion '''48''', 12 (2008) 125002]]</ref> | ||
:<math>l_i(3) = \frac{2 V \left \langle B_\theta^2 \right \rangle}{\mu_0^2I^2 R_0}</math> | :<math>l_i(3) = \frac{2 V \left \langle B_\theta^2 \right \rangle}{\mu_0^2I^2 R_0}</math> | ||
which is equal to <math>l_i</math> | which is equal to <math>l_i</math> assuming the plasma has a perfect toroidal shape, <math>V = \pi a^2 \cdot 2 \pi R_0</math>.<ref>[[Effective plasma radius]]</ref> | ||
The value of the normalized internal inductance depends on the current density profile in the toroidal plasma (as it produces the <math>B_\theta(\rho)</math> profile). | The value of the normalized internal inductance depends on the current density profile in the toroidal plasma (as it produces the <math>B_\theta(\rho)</math> profile). | ||