Utilization of Logistical Regression to the Modified Sine-Gordon Model in the MST Experiment  

作　　者：Nizar J. Alkhateeb Hameed K. Ebraheem Eman M. Al-Otaibi Nizar J. Alkhateeb;Hameed K. Ebraheem;Eman M. Al-Otaibi(Department of Electronic Engineering Technology, College of Technological Studies (CTS), The Public Authority of Applied Education and Training (PAAET), Kuwait City, Kuwait)

机构地区：[1]Department of Electronic Engineering Technology, College of Technological Studies (CTS), The Public Authority of Applied Education and Training (PAAET), Kuwait City, Kuwait

出　　处：《Open Journal of Modelling and Simulation》2024年第2期43-58,共16页建模与仿真（英文）

摘　　要：In this paper, a logistical regression statistical analysis (LR) is presented for a set of variables used in experimental measurements in reversed field pinch (RFP) machines, commonly known as “slinky mode” (SM), observed to travel around the torus in Madison Symmetric Torus (MST). The LR analysis is used to utilize the modified Sine-Gordon dynamic equation model to predict with high confidence whether the slinky mode will lock or not lock when compared to the experimentally measured motion of the slinky mode. It is observed that under certain conditions, the slinky mode “locks” at or near the intersection of poloidal and/or toroidal gaps in MST. However, locked mode cease to travel around the torus;while unlocked mode keeps traveling without a change in the energy, making it hard to determine an exact set of conditions to predict locking/unlocking behaviour. The significant key model parameters determined by LR analysis are shown to improve the Sine-Gordon model’s ability to determine the locking/unlocking of magnetohydrodyamic (MHD) modes. The LR analysis of measured variables provides high confidence in anticipating locking versus unlocking of slinky mode proven by relational comparisons between simulations and the experimentally measured motion of the slinky mode in MST.In this paper, a logistical regression statistical analysis (LR) is presented for a set of variables used in experimental measurements in reversed field pinch (RFP) machines, commonly known as “slinky mode” (SM), observed to travel around the torus in Madison Symmetric Torus (MST). The LR analysis is used to utilize the modified Sine-Gordon dynamic equation model to predict with high confidence whether the slinky mode will lock or not lock when compared to the experimentally measured motion of the slinky mode. It is observed that under certain conditions, the slinky mode “locks” at or near the intersection of poloidal and/or toroidal gaps in MST. However, locked mode cease to travel around the torus;while unlocked mode keeps traveling without a change in the energy, making it hard to determine an exact set of conditions to predict locking/unlocking behaviour. The significant key model parameters determined by LR analysis are shown to improve the Sine-Gordon model’s ability to determine the locking/unlocking of magnetohydrodyamic (MHD) modes. The LR analysis of measured variables provides high confidence in anticipating locking versus unlocking of slinky mode proven by relational comparisons between simulations and the experimentally measured motion of the slinky mode in MST.

关 键 词：Madison Symmetric Torus (MST) Magnetohydrodyamic (MHD) SINE-GORDON TOROIDAL Dynamic Modelling Reversed Field Pinch (RFP) Logistical Regression 

分 类 号：O41[理学—理论物理]