摘要
Abstract
First, the toroidal plasma' s force balance equations of three-dimensional orthogonal vector magnetic field B,current density J and pressure gradient ▽p are established in the stable state,then taking the toroidal surface coordinate system and processing the incentives of the basic magnetic field, the problem of three-dimensional vector equation is changed into an ordinary differential equation problem, and then we find its analytical solution. From the existence of mathematical equation we can get the definition of positive operator and positive definite operator, combined with work of force field we develop functional form in variational learning. From the proof of mathematical equation and pan function, we confirm the existence of solutions Tokamak, uniqueness and stability problems, get positive definite operator threshold, and ensure stable operation of the Tokamak. The ideal plasma with zero resistivity is stable,but non-zero resistivity with non-ideal time-varying current will gradually erode the threshold of positive definite operator , then its operator will become non-positive making the system unstable. The key to extend the running time of Tokamak is to keep the threshold of positive definite operator constant. The prescription is building a digital "clone" to clone the whole Tokamak. By using digital processing all sample' s values are made equal,then the whole Tokamak,will tend to be idealized.关键词
MHD/变分学/正算子/正定算子Key words
MHD/variational learning/positive operator/positive definite operator分类
信息技术与安全科学
