A note on database scalings

In chapter 3 we stated that for reconstructions with $I_{\mathrm{mod}}\neq 15.5$ kA, it was necessary to multiply the plasma signals by the factor (15.5/ $I_{\mathrm{mod}}$ [kA]) in order to obtain correctly scaled results. Similarly, for FP reconstructions based on plasma pressure signals, we must scale $p(s)$ by the factor (15.5/ $I_{\mathrm{mod}}$ [kA])$^2$ in order to preserve the correct $\beta$-dependence of the plasma deformations. This can be deduced from the definition of $\beta = \frac{\frac{3}{2}\int_V p\, dV}{\langle B \rangle ^2}$, which is identical for equilibria with the pressure profile and magnetic field scaled by $\alpha^2$ and $\alpha$, respectively, where $\alpha$ is an arbitrary scaling factor.