Je. Vitela et Jj. Martinell, STABILIZATION OF BURN CONDITIONS IN A THERMONUCLEAR REACTOR USING ARTIFICIAL NEURAL NETWORKS, Plasma physics and controlled fusion, 40(2), 1998, pp. 295-318
In this work we develop an artificial neural network (ANN) for the fee
dback stabilization of a thermonuclear reactor at nearly ignited burn
conditions. A volume-averaged zero-dimensional nonlinear model is used
to represent the time evolution of the electron density, the relative
density of alpha particles and the temperature of the plasma, where a
particular scaling law for the energy confinement time previously use
d by other authors, was adopted. The control actions include the concu
rrent modulation of the D-T refuelling rate, the injection of a neutra
l He-4 beam and an auxiliary heating power modulation, which are const
rained to take values within a maximum and minimum levels. For this pu
rpose a feedforward multilayer artificial neural network with sigmoida
l activation function is trained using a back-propagation through-time
technique. Numerical examples are used to illustrate the behaviour of
the resulting ANN-dynamical system configuration. It is concluded tha
t the resulting ANN can successfully stabilize the nonlinear model of
the thermonuclear reactor at nearly ignited conditions for temperature
and density departures significantly far from their nominal operating
values. The NN-dynamical system configuration is shown to be robust w
ith respect to the thermalization time of the alpha particles for pert
urbations within the region used to train the NN.