Tokamak fusion reactor start-up simulation Page: 4 of 25
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diffuse, and the plasma size will increase and the current will grow in
magnitude. Since anomalous flux diffusion takes place, a skin current does
not develop at the plasma vacuum interface. Details of the model will be
found in Sec. III while the circuit equations are given in Sec. II. In Sec.
IV, we present results of the simulation of the current start-up phase in a
proposed Fusion Engineering Device (FED) plasma surrounded by a conducting
shell. The shell, is modeled by a set of twenty-two up-down symmetric passive
copper coils. We close in Sec. V with some concluding remarks.
II. CIRCUIT EQUATIONS
Our model of the external circuits and conductors consists of a set of
discrete axisymetric filamentary conductors carrying current in the toroidal
direction. If o is the symetry angle, then the poloidal field in the vacuum
can be represented in terms of a flux function as
A L Kr 9x (1)
The poloidal flux at the ith coil, xi, obeys the circuit equation
dt ~ i - r Ii; i = 1, --- ,N , (2)
which states that xi changes only due to resistance ri in the coil or an
applied voltage source Vi which may be part of a feedback control circuit.
The value of Xi in terms of the vacuum Green's function G is
j di ax(nb
Xi = L1Ii - iI, 40 G (xigx) -5 2, G(xb' xi an ' 3
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Ling, K.M.; Jardin, S.C. & Perkins, F.W. Tokamak fusion reactor start-up simulation, report, February 1, 1986; New Jersey. (digital.library.unt.edu/ark:/67531/metadc1112980/m1/4/: accessed September 24, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.