EQUILIBRIUM FEATURES OF BEAN-
SHAPED SPHERICAL TOKAMAK PLASMAS
WITH AN ERGODIC LIMITER
C. Ribeiro
1
, V. I. Vargas
2
, J. J. E. Herrera
3
, E. Chávez
4
1
School of Electronic Engineering, Instituto Tecnológico de Costa Rica, Cartago, Costa Rica
2
School of Physics, Instituto Tecnológico de Costa Rica, Cartago, Costa Rica
3
Instituto de Ciencias Nucleares, UNAM, Mexico City, Mexico
4
Instituto Nacional de Investigaciones Nucleares, Salazar, Mexico
Corresponding author e-mail: celso_ribeiro@hotmail.com
Abstract— Equilibrium simulations of spherical tokamak
bean-shaped plasmas in natural divertor geometry with an
Ohmic regime are presented for the first time. Preliminary
results in a non-self-consistent scenario suggest higher (factor up
to 2) beta values can be attained for these plasmas compared to
the more usual spherical tokamak natural divertor D-shaped
geometry. This can be attained simultaneously (but
independently) with setting an edge localised ergodization as
observed via a Poincaré mapping, using a low level of
perturbation to the plasma current (~2 percent). In combination
with the closer proximity of the bean-shaped plasmas to the in-
vessel limiters (also observed here) this leads to a higher beta
limit which extrapolates favorably for a more compact reactor
based in the spherical tokamak concept which is thus more
economical and has a more even thermal power load.
Keywords—Tokamaks; Spherical Tokamaks; Bean-shaped
plasmas; Beta limit; Second-stability; Equilibrium reconstruction;
Ergodic limiter; Poincaré Mapping
I. INTRODUCTION
A toroidal plasma moderately indented on the high field
(inboard) side is expected to lead to additional stability to
ballooning modes[1]. This configuration provides a theoretical
higher beta limit by accessing the second-stability region. Such
a scheme has been previosuly tried in the high aspect ratio
tokamak PBX and beta has increased even without reaching the
second stability regime[2]. The modified version of this device
(PBX-M) showed a further increase in beta closer but below
the second stability region via a closer passive limiters and
strong auxiliary heating from neutral beams[3]
Previous Poincaré map simulations for natural divertor
Ohmic regime based on the spherical tokamak (ST)
MEDUSA[4] equilibrium reconstruction have been performed
with the setting of inboard tilted poloidal field coils which lead
to a unique ST bean-shaped plasma while creating a small
ergodic region[5,6,7].
The ST MEDUSA (Madison Educational Small Aspect
ratio tokamak), was originally designed, built and operated at
the University of Wisconsin at Madison [4]. This device has
been donated to the Technological Institute of Costa Rica
("ITCR") and was renamed as MEDUSA-CR.
We aim here to explore such bean-shaped ST equilibria and
present a preliminary indication that the beta parameter can
also increase in STs in Ohmic regime, while an ergodic limiter
in natural diverted plasmas is set. These are highly desirable
features for testing a more compact thus economical, and
feasible design (no intolerable power load in the X-point
divertor) towards a ST reactor in which H-mode regime can
still be envisaged as initial results from the Ohmic naturally
diverted H-mode plasmas achieved in ST PEGASUS device
suggests[8].
II. MEDUSA-CR DEVICE
The device's main characteristics are[4]: plasma major
radius R
o
= 9-14cm, plasma minor radius a = 4-10cm, aspect
ratio A ≡ R
o
/a = 1.5 (1.35 min.), toroidal field at plasma major
radius B
T
= 0.3T (0.5T max.), plasma current I
p
= 20kA (40kA
max.), 1ms (3ms max.) pulse. The plasma is limited top/bottom
at one toroidal location by movable stainless rail limiters. The
vessel is made mainly of glass which allows real time field
penetration. Titanium gettering is planned for conditioning, and
lithium can also potentially be used[9]. Two unique planned
systems for MEDUSA-CR are the external Alfvén Wave
antennas and an ergodic limiter, both placed externally to the
vessel, and aimed for studying RF heating/current-drive and
plasma-wall interaction with simultaneous creation of bean-
shaped plasma, respectively.
“ITCR”, IAEA, and National Instruments of Costa Rica
978-1-4799-0171-5/13/$31.00 ©2013 IEEE