机器学习用于在非线性存在的情况下进行轨道方向控制
Simona Bettoni1, Jonas Kallestrup1, Güney Erin Tekin1
1Paul Scherrer Institute, Center for Accelerator Science and Engineering, 5232 Villigen, Switzerland.
Journal of synchrotron radiation
|April 11, 2025
概括
机器学习为精确的圆形粒子加速器束轨道校正提供了强大的解决方案,克服了传统响应矩阵方法的局限性,特别是在非线性磁环境中. 这种方法提高了像SLS 2.0同步加速器这样的加速器的转向效率和精度.
科学领域:
- 粒子加速器物理学 物理
- 光束动力学和控制控制
- 机器学习在科学中的应用
背景情况:
- 圆形粒子加速器依赖于精确的光束轨道校正,以保持光束的轨迹靠近理想的"黄金轨道".
- 传统的响应矩阵 (RM) 方法对于线性系统是有效的,但与非线性磁铁和大束扰动作斗争,需要代收.
- 加速器磁铁的非线性导致RM元件的变化,降低了传统光束转向技术的有效性.
研究的目的:
- 探索和评估基于机器学习 (ML) 的方法,用于圆形粒子加速器中的光束轨道校正.
- 在各种操作条件下,将ML方法与基于RM的标准技术进行比较.
- 解决ML模型的潜在局限性,例如维度变化,以提高稳定性.
主要方法:
- 基于ML的光束轨道校正策略的实施和测试.
- 将ML方法应用于保罗·谢勒研究所的SLS 2.0同步仪.
- 对ML性能与传统响应矩阵方法进行比较分析,包括组合方法.
主要成果:
- 基于ML的方法证明了高效的光束轨道转向的潜力,特别是在复杂的加速器环境中.
- 在不同条件下对标准RM方法进行评估,凸显了ML方法的适用性和有效性.
- 提出的解决方案减轻了ML模型维度变化的影响,提高了性能的一致性.
结论:
- 机器学习为循环加速器中精确的光束轨道校正提供了传统方法的有希望的替代方案.
- 开发的ML策略为光束转向提供了更高的稳定性和效率,特别是在存在非线性磁场的情况下.
- 这些发现支持采用ML技术来进行先进的加速器控制和优化.
相关概念视频
01:21Linear Approximation in Time Domain
58
Nonlinear systems often require sophisticated approaches for accurate modeling and analysis, with state-space representation being particularly effective. This method is especially useful for systems where variables and parameters vary with time or operating conditions, such as in a simple pendulum or a translational mechanical system with nonlinear springs.
For a simple pendulum with a mass evenly distributed along its length and the center of mass located at half the pendulum's length,...
For a simple pendulum with a mass evenly distributed along its length and the center of mass located at half the pendulum's length,...
58
01:16Circular Orbits and Critical Velocity for Satellites
2.8K
The Moon orbits around the Earth. In turn, the Earth (and other planets) orbit the Sun. The space directly above our atmosphere is filled with artificial satellites in orbit. One can examine the circular orbit, the simplest kind of orbit, to understand the relationship between the speed and the period of planets and satellites with respect to their positions and the bodies that they orbit.
Nicolaus Copernicus (1473-1543) first suggested that the Earth and all other planets orbit the Sun in...
Nicolaus Copernicus (1473-1543) first suggested that the Earth and all other planets orbit the Sun in...
2.8K
01:22Non-uniform Circular Motion
7.0K
In uniform circular motion, the particle executing circular motion has a constant speed, and the circle is at a fixed radius. However, not all circular motion occurs at a constant speed. A particle can travel in a circle and speed up or slow down, showing an acceleration in the direction of motion. In that case, the motion is called non-uniform circular motion, and an additional acceleration is introduced, which is in the direction tangential to the circle.
For example, such...
For example, such...
7.0K
01:29Relative Motion Analysis using Rotating Axes-Problem Solving
378
Consider a crane whose telescopic boom rotates with an angular velocity of 0.04 rad/s and angular acceleration of 0.02 rad/s2. Along with the rotation, the boom also extends linearly with a uniform speed of 5 m/s. The extension of the boom is measured at point D, which is measured with respect to the fixed point C on the other end of the boom. For the given instant, the distance between points C and D is 60 meters.
Here, in order to determine the magnitude of velocity and acceleration for point...
Here, in order to determine the magnitude of velocity and acceleration for point...
378
01:17Dynamics Of Circular Motion: Applications
7.6K
Suppose a car moves on flat ground and turns to the left. The centripetal force causing the car to turn in a circular path is due to friction between the tires and the road. For this, a minimum coefficient of friction is needed, or the car will move in a larger-radius curve and leave the roadway. Let's now consider banked curves, where the slope of the road helps in negotiating the curve. The greater the angle of the curve, the faster one can take the curve. It is common for race tracks for...
7.6K
01:30Kinematic Equations for Rotation
299
In mechanics, when one observes a rigid body in rotational motion with constant angular acceleration, it is possible to establish equations for its rotational kinematics. This process resembles how linear kinematics are dealt with in simpler motion studies.
For instance, imagine a point A on a rigid body engaged in circular motion. The translational velocity of this particular point can be calculated by taking the time derivatives of the displacement equation, which essentially measures the...
For instance, imagine a point A on a rigid body engaged in circular motion. The translational velocity of this particular point can be calculated by taking the time derivatives of the displacement equation, which essentially measures the...
299