论文标题
关于融合功率模拟的最佳Tokamak控制的注释
A Note on Optimal Tokamak Control for Fusion Power Simulation
论文作者
论文摘要
Tokamak设备是通过核融合产生可持续电力的最有前途的候选人。这是一个圆环形的设备，可将等离子体限制在强磁场上。设计的开发，设计和控制一直是研究的重要领域，一个重要的目标是有效地将极其热的等离子体限制在其空心圆环形的体内，而不会在长时间内触摸其边界。为了控制Tokamak设备，本文研究了在施加电流存在下，限制在封闭环形区域中的不可压缩，粘性，电动导电的MHD流体的最佳控制问题。最佳控制问题的目标函数受约束方程，纳维尔 - 斯托克斯和麦克斯韦方程的约束。我们将引导等离子体引导到所需的流量的瞬态控制在特定的短时间内，从稳态操作的角度来看，该流程被设计为离线为所需的流量。
The Tokamak device is the most promising candidate for producing sustainable electric power by nuclear fusion. It is a torus-shaped device that confines plasma by a strong magnetic field. The development, design and control of the design has been an important area of research, and a significant target is to effectively confine the extremely hot plasma inside its hollow torus-shaped body without touching its boundary for a prolonged period of time. In an attempt to control a Tokamak device, this paper investigates an optimal control problem for an incompressible, viscous, electrically conducting MHD fluid confined in a closed toroidal region in the presence of an applied current. The objective functional for the optimal control problem are subject to set of constraint equations, Navier-Stokes and Maxwell equations. We target the transient control of guiding the plasma to a desired flow at a particular short time instant, where it is expected that the flow had been designed offline to be the desired one from the point of view of steady state operation.
