Double transport barriers pressure proﬁle

14.7 Double transport barriers pressure proﬁle

An analytic expression for the pressure proﬁle of double (inner and external) transport barriers is given by

( ( − (ψ − ψ )) ) ( ( − (ψ − ψ ))) P (ψ) = ai 1+ tanh -------i- +ae 1+ tanh -------e- − c wi we

(498)

where ψ is the normalized poloidal ﬂux, w_i and w_e are the width of the inner and external barriers, ψ_i and ψ_e are the locations of the barriers, a_i and a_e is the height of the barriers, c is a constant to ensure P(ψ) = 0 at ψ = 1.

pict

Fig. 36: Pressure proﬁle of double (inner and external) transport barriers given by Eq. (498) with a_i = 1, b_i = 0.2, ψ_i = 0.36, ψ_e = 0.96, w_i = 0.2, w_e = 0.04, c = 0.

pict

Fig. 37: Equilibrium pressure proﬁle for EAST discharge #38300 at 3.9s (reconstructed by EFIT code, gﬁle name: g038300.03900), which shows a boundary transport barrier.

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