NSLS-II Control of Dynamic Aperture

Bengtsson,J.

关键词: APERTURES;    CONTROL THEORY;    DIFFERENTIAL EQUATIONS;    LIGHT SOURCES;    NONLINEAR PROBLEMS;    OPTICS;    RESONANCE;    STABILITY;    SYNCHROTRONS;    TRAJECTORIES;   

DOI  :  10.2172/944965
RP-ID  :  BNL--81770-2008-IR
PID  :  OSTI ID: 944965
Others  :  R&D Project: 71342
Others  :  Other: 39KC02000
Others  :  TRN: US0900805

学科分类：核物理和高能物理

美国|英语

来源: SciTech Connect

【 摘 要 】

We have outlined how, by an intuitive approach, the on- and off-momentum dynamic aperture for a synchrotron light source can be estimated from a nonlinear system of algebraic equations for the sextupole/multipole strengths. The approach has only two free parameters: the relative weight for resonance vs. tune shift terms and the tune footprint for stable trajectories in a modern third generation synchrotron light source. In other words, we have established a control theory approach for the medium term (10{sup 3} turns) stability for a dynamic system described by a nonlinear system of ordinary differential equations. Equipped with a predictive, quantitative model for stability, we have then evaluated how to improve the control of the dynamics by analyzing and modifying the properties of the corresponding algebraic system. In particular, by changing the number- and characteristics of the parameters, i.e., we have not evaluated how the underlying (linear) optics could be improved. We have also validated our conjectures by numerical simulations with a realistic model. Presumably, our conclusions, summarized in Section 1.0, are a direct result of the presented analysis and observations.