原子能科学技术2024，Vol.58Issue(4)：952-960,9.DOI:10.7538/yzk.2023.youxian.0442
基于FPGA的射频腔体系统数学模型在线辨识算法
Online Identification Algorithm for Mathematical Model of RF Cavity System Based on FPGA
摘要
Abstract
The mathematical model of a radio frequency(RF)system incorporates cruci-al characteristic parameters of an RF cavity,including the cavity bandwidth,the resonant frequency,and Lorentz force detuning factors,which is very important for the cavity performance evaluation,the control system simulation,and the optimization of low-level control algorithms.A network analyzer is usually used to measure scattering parameters and subsequently construct mathematical models of a RF system.However,the measurement steps are tedious and fail to identify the system model online.There-fore,an advanced online identification algorithm was described for RF cavity systems in this paper,which simulated the operational principles of a network analyzer.This algo-rithm was integrated within a digital low-level RF(LLRF)system and consisted of a high-precision numerically controlled oscillator,a frequency control word generator module,an amplitude-phase calculation module,and a sweep frequency amplitude-phase processing module.With the assistance of the Matlab/Simulink platform,which pro-vides an ideal environment for simulation and analysis,the deployment of this algorithm was ultimately realized on the field-programmable gate array(FPGA)chip of the low-level system,accomplishing the online identification of RF systems.Then,the sweep-ing algorithm was verified on a superconducting cavity of the China Accelerator Driven System Front-end Demo Linac at the Institute of Modern Physics.During the verifica-tion process,the half-bandwidth of all cavities in CM1 was accurately measured using an online identification algorithm,and the half-bandwidth of all cavities corresponding to CM1 was also measured utilizing a network analyzer.The results of half-bandwidth measured by the two methods are in good agreement,strongly supporting the validity of the online identification algorithm for cavity system models proposed in this paper.Furthermore,we successfully measured the distortion curve of cavity frequency response caused by Lorentz force detuning.Finally,the influence of Lorentz force detuning variation on the measurement of the critical cavity parameters was discussed in this paper.As the RF peak electric field increases,the radiation pressure within the cavity rises proportionately,leading to a corresponding increase in Lorenz force detun-ing.This article demonstrates that when the RF peak electric field of the cavity operat-ing is less than 16 MV/m,Lorenz force detuning has a relatively limited impact on the bandwidth measurement of the cavity.Conversely,once the peak acceleration electric field surpasses this threshold,Lorenz force detuning exerts an unnegligible effect on the measurement of the half-bandwidth of the cavity.The specific mechanisms of the Lorenz force detuning's influence on the half-bandwidth of the cavity will be further studied in future research.关键词
传递函数模型/射频腔体/低电平射频系统/在线辨识/幅频响应Key words
transfer function model/radio frequency cavity/low-level radio frequency system/on-line model identification/amplitude frequency response分类
能源科技引用本文复制引用
魏诗惠,黄贵荣,王志军,张善超,邱丰,马瑾颖,朱正龙,高郑,薛纵横,徐呈业,施龙波,陈奇,孙列鹏..基于FPGA的射频腔体系统数学模型在线辨识算法[J].原子能科学技术,2024,58(4):952-960,9.基金项目
大型科学装置(2017-000052-75-01-000590) （2017-000052-75-01-000590）
中国科学院人才计划青年项目(E129851YR0) （E129851YR0）
国家自然科学基金青年科学基金(12205344) （12205344）
