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

2015 ◽  
Vol 24 (3) ◽  
pp. 035202 ◽  
Author(s):  
Shan Guo ◽  
Ke Xu ◽  
Chao Xu ◽  
Zhi-Gang Ren ◽  
Bing-Jia Xiao
2012 ◽  
Vol 53 ◽  
pp. 66
Author(s):  
Weihua Gui ◽  
Xiaoyu Shen ◽  
Ning Chen ◽  
Chunhua Yang ◽  
L. Y. Wang

2021 ◽  
Author(s):  
E I Soldatkina ◽  
Egor Pinzhenin ◽  
Olga Korobeynikova ◽  
V V Maximov ◽  
Dmitry Vadimovich Yakovlev ◽  
...  

Abstract The paper describes experiments on the injection of an electron beam into a gas at the Gas Dynamic Trap (GDT) and develops a technique for creating a starting plasma with parameters sufficient for its subsequent heating by neutral beams. It is found that a relatively thin electron beam is capable of ionizing plasma in the entire volume of the trap, and the plasma turbulence it excites is capable of accelerating some of the electrons to energies tens of times higher than the initial energy of the beam. It is shown that, in contrast to early experiments on tabletop open traps, collective beam relaxation under GDT conditions occurs in the vicinity of the entrance magnetic mirror. Since the electron cyclotron frequency in this region significantly exceeds the plasma frequency, it is necessary to study the mechanism of a beam-plasma discharge under these conditions. As a first step along this path, we measure the radial diffusion coefficient of fast particles, as well as the rate at which they gain energy.


2019 ◽  
Vol 37 (2) ◽  
pp. 497-512
Author(s):  
Nastaran Ejlali ◽  
Seyed Mohammad Hosseini

Abstract This paper proposes an efficient adaptive control parameterization method for solving optimal control problems. In this method, mesh density functions are used to generate mesh points. In the first step, the problem is solved by control parameterization on uniform mesh points. Then at each step, the approximate control obtained from the previous step is applied to construct a mesh density function, and consequently a new adapted set of mesh points. Several numerical examples are included to demonstrate that the adaptive control parameterization method is more accurate than a uniform control parameterization one.


2011 ◽  
Vol 53 (1) ◽  
pp. 68-86 ◽  
Author(s):  
W. H. GUI ◽  
X. Y. SHEN ◽  
N. CHEN ◽  
C. H. YANG ◽  
L. Y. WANG

AbstractIn this paper we study optimal control computation based on the control parameterization method for a class of optimal control problems involving nonlinear systems with multiple time delays subject to continuous state inequality constraints. Both the state and the control are allowed to have different time delays, and they are uncorrelated in this system. The control of the dynamical system is approximated by a piecewise constant function whose heights are taken as decision vectors. The formulae for computing the gradients of the cost and constraint functions are then derived. Based on this, a computational method for finding the optimal control is developed by utilizing the Sequential Quadratic Programming (SQP) algorithm with an active set strategy. The computational method is applied to an industrial problem arising in the purification process of zinc hydrometallurgy. Numerical simulation shows that the amount of zinc powder that is needed can be decreased significantly, thus avoiding wastage of resources.


2019 ◽  
Vol 203 ◽  
pp. 01001 ◽  
Author(s):  
Daniela Farina

In the initial phase of a plasma discharge with EC-assisted breakdown, the wave-particle interaction is nonlinear and wave trapping provides the mechanism for transition from a very low energy state to a much larger energy state. A Hamiltonian adiabatic approach provides the condition for the energy variation to occur in a rigorous way, together with quantitative estimate as a function of the wave frequency, harmonic number, polarisation and EC power and beam width, for the first, and second cyclotron harmonic. The interaction is highly localized in space close to the EC resonance. The spatial profile of the energy gain are reported together with the estimates of the width of the radial region where the interaction takes place in the case of a tokamak configuration. The analysis provides a physics based description of the process as well as indications for an optimized experimental setup.


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