This paper introduces an optimal estimation methodology to estimate the boundary shape of plasma in Damavand tokamak (DT). The first step of the introduced methodology is determining an initial guess of the plasma center. An accurate initial guess of the plasma center can improve the performance of the boundary shape estimation. A methodology to find the best arrangement of filaments around the plasma center and their current values for different numbers of plasma filaments is introduced. The Tikhonov regularization method is used to estimate the current values of assumed filaments as an ill-conditioned linear least squares problem. The simulation results show that the Tikhonov has a better performance than the other regularization methods from the computation time and estimation error performance perspectives. In two circular and elongated scenarios, experimental datasets of DT are employed to show the effectiveness of the method.

本文介绍了一种最佳估计方法，用于估计达马万德·托卡马克（DT）中等离子体的边界形状。引入方法的第一步是确定等离子体中心的初始猜测。等离子体中心的准确初始猜测可以改善边界形状估计的性能。介绍了一种方法，可找到围绕等离子体中心的细丝的最佳排列及其对于不同数量的细丝的电流值。Tikhonov正则化方法用于估计假设灯丝的当前值，作为病态线性最小二乘问题。仿真结果表明，从计算时间和估计误差性能的角度来看，Tikhonov具有比其他正则化方法更好的性能。