ON MINIMIZATION OF IMPACT OF MAGNETIC ELEMENTS ADJUSTMENT TOLERANCES ON BEAM ORBIT DEVIATIONS IN SYNCHROTRONS

2021 ◽  
Author(s):  
Владислав Владимирвоич Алцыбеев
Keyword(s):  
Numerical Experiments ◽  
Gradient Descent ◽  
Charged Particles ◽  
Descent Method ◽  
Gradient Descent Method ◽  
Alignment Error ◽  
Magnetic Elements ◽  
Beam Orbit

Рассматривается задача минимазации отклонений орбиты пучка заряженных частиц в синхротронах, вызванной погрешностью юстировки квадруполей. Разработан метод оптимизации траектории орбиты, основанный на применении роевых вычислений и метода градиентного спуска. Приведены результаты численных экспериментов. The problem of minimizing the deviations of the orbit of a beam of charged particles in synchrotrons caused by the alignment error of the quadrupoles is considered. A method for optimizing the orbit trajectory based on the use of swarm computations and the gradient descent method has been developed. The results of numerical experiments are presented.

scholarly journals A Three-Term Gradient Descent Method with Subspace Techniques

2021 ◽  
Vol 2021 ◽  
pp. 1-7
Author(s):  
Shengwei Yao ◽  
Yuping Wu ◽  
Jielan Yang ◽  
Jieqiong Xu
Keyword(s):  
Numerical Experiments ◽  
Gradient Descent ◽  
Line Search ◽  
Optimization Problems ◽  
Convergence Result ◽  
Descent Method ◽  
Search Direction ◽  
Gradient Descent Method ◽  
Approximation Model ◽  
Wolfe Line Search

We proposed a three-term gradient descent method that can be well applied to address the optimization problems in this article. The search direction of the obtained method is generated in a specific subspace. Specifically, a quadratic approximation model is applied in the process of generating the search direction. In order to reduce the amount of calculation and make the best use of the existing information, the subspace was made up of the gradient of the current and prior iteration point and the previous search direction. By using the subspace-based optimization technology, the global convergence result is established under Wolfe line search. The results of numerical experiments show that the new method is effective and robust.

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