Equation testing
The fusion power generated by a spherical torus (ST) or tokamak scales as βT2BT4, implying that it is desirable to maximize the toroidal β,βt = 2μ0<p>/BT,02. However, MHD stability theory and experimental results have shown that the maximum stable βT scales with the toroidal field and plasma current as
[1], where βN is a constant in the
range of 2-8. Hence, for fixed field BT and current
IP, maximizing the fusion power is tantamount to
optimizing the configuration for the highest possible
βN limit. Furthermore, the economic viability
of the tokamak and ST configurations is greatly improved if they can
operate with minimal external power used to drive the required plasma
current. The self-generated current driven by the bootstrap effect
scales as qIP βN, indicating
again the important of maximizing the βN limit.
Both the plasma boundary shaping and the internal profiles can impact
the βN limit. For instance, a more
“D” shaped plasma boundary, known as having high
“triangularity” δ, will
have a higher βN limit than one with an
A multilevel equation cannot be easily re-created in HTML. In this case, the equation can be written on one line, as:
βt = (βN/100) * (IP/αβT)
or
βt = βNIP / 100αβT
Note: The .png image of the equation is unclear to me, so I'm not sure if the equation has an 'equal' symbol ("=") or something else.
End of test