Start-up phase plasma discharge design of a tokamak via control parameterization method

Author： Shan Guo Ke Xu Chao Xu Zhi-Gang Ren Bing-Jia Xiao

E-ISSN： 1741-4199|24|3|35202-35208

ISSN： 1674-1056

Source： Chinese Physics B, Vol.24, Iss.3, 2015-03, pp. : 35202-35208

Disclaimer: Any content in publications that violate the sovereignty, the constitution or regulations of the PRC is not accepted or approved by CNPIEC.

Previous Menu Next

Abstract

The tokamak start-up is a very important phase during the process to obtain a suitable equalizing plasma, and its governing model can be described as a set of nonlinear ordinary differential equations (ODEs). In this paper, we first estimate the parameters in the original model and set up an accurate model to express how the variables change during the start-up phase, especially how the plasma current changes with respect to time and the loop voltage. Then, we apply the control parameterization method to obtain an approximate optimal parameters selection problem for the loop voltage design to achieve a desired plasma current target. Computational optimal control techniques such as the variational method and the costate method are employed to solve the problem, respectively. Finally, numerical simulations are performed and the results obtained via different methods are compared. Our numerical parameterization method and optimization procedure turn out to be effective.