Modeling and robust control system design for plasma current in damavand tokamak

Abstract

In the present work, a dynamic model of plasma current and its relation with the currents of active coils is derived using the Hamilton-Lagrange and energy functions. Model parameters of the plasma current are calculated using the analytical approach and the parameter estimation methods. The parameter estimation is performed based on the gray-box model. The experimental data of three shots in the presence of plasma in Damavand Tokamak have been used to estimate the parameters of the model. The results of plasma current modeling show a dynamic model with variable parameters as a function of plasma conditions and plasma position. In the present work, based on the obtained dynamical model, a robust PI controller has been designed to control the plasma current using the currents of the central solenoid and equilibrium coil. The simulation results using real experimental data indicate the acceptable performance of the designed control system.

Keywords

• damavand tokamak
• plasma current dynamic
• hamilton-lagrange method
• gray-box model
• robust controller