A Van der Pol Coupled-Oscillator Model as a Basis for Developing a System for Suppressing MHD Instabilities in a Tokamakстатья
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Дата последнего поиска статьи во внешних источниках: 19 июня 2014 г.
Аннотация:The main parameters of tokamak discharges are known to be limited by large-scale MHD instabilities.
Sometimes, the instabilities lead to a rapid (on time scales of tens of microseconds) disruption of the discharge
current and to the release of all the energy stored in the plasma column at the discharge chamber wall.
This process, which is called the disruptive instability, may have irreversible catastrophic consequences for the
operation of a fusion reactor. In the present paper, a study is made of the dynamics of self-oscillations in systems
of two and six van der Pol coupled oscillators. A van der Pol coupled-oscillator model is used to develop a multivariable
feedback controller based on the combined principle of compensating for internal cross feedbacks
within the object and introducing damping feedbacks in each control channel. By using mathematical simulation
methods, it is shown that the controller designed guarantees the suppression of self-oscillations in a system
of van der Pol oscillators over a fairly broad range of parameters of the object under control (and thereby provides
the structural stability of the object). The nonlinear control system model makes it possible to suppress
coupled MHD perturbations developing in a tokamak plasma.