Performance Analysis of Digital Flux-locked Loop Circuit with Different SQUID $V$-$ϕ$ Transfer Curves for TES Readout System

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Main Authors: Li, Nan, Ren, Xiang-xiang, Li, Le-peng, Song, Meng-jie, Li, Hao-yu, Shu, Shi-bo, Li, Ya-qiong, Zhang, Yong-jie, Li, Xu-fang, Gu, Yu-dong, Liu, Cong-zhan, Li, Hai-feng, Gao, He, Li, Zheng-wei
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Published: 2025
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author Li, Nan
Ren, Xiang-xiang
Li, Le-peng
Song, Meng-jie
Li, Hao-yu
Shu, Shi-bo
Li, Ya-qiong
Zhang, Yong-jie
Li, Xu-fang
Gu, Yu-dong
Liu, Cong-zhan
Li, Hai-feng
Gao, He
Li, Zheng-wei
author_facet Li, Nan
Ren, Xiang-xiang
Li, Le-peng
Song, Meng-jie
Li, Hao-yu
Shu, Shi-bo
Li, Ya-qiong
Zhang, Yong-jie
Li, Xu-fang
Gu, Yu-dong
Liu, Cong-zhan
Li, Hai-feng
Gao, He
Li, Zheng-wei
contents A superconducting quantum interference device (SQUID), functioning as a nonlinear response device, typically requires the incorporation of a flux-locked loop (FLL) circuit to facilitate linear amplification of the current signal transmitted through a superconducting transition-edge sensor (TES) across a large dynamic range.This work presents a reasonable model of the SQUID-FLL readout system, based on a digital proportional-integral-differential (PID) flux negative feedback algorithm.This work investigates the effect of $V$-$ϕ$ shape on the performance of digital FLL circuits.Such as the impact factors of bandwidth, design limits of slew rate of the system and the influence of the shapes of SQUID $V$-$ϕ$ curve.Furthermore, the dynamic response of the system to X-ray pulse signals with rise time ranging from $4.4{\sim}281$ $\mathrm{μs}$ and amplitudes ranging from $6{\sim}8$ $\mathrm{ϕ_0}$ was simulated.All the simulation results were found to be consistent with the existing mature theories, thereby validating the accuracy of the model.The results also provide a reliable modelling reference for the design of digital PID flux negative feedback and multiplexing SQUID readout electronic systems.
format Preprint
id arxiv_https___arxiv_org_abs_2502_03977
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Performance Analysis of Digital Flux-locked Loop Circuit with Different SQUID $V$-$ϕ$ Transfer Curves for TES Readout System
Li, Nan
Ren, Xiang-xiang
Li, Le-peng
Song, Meng-jie
Li, Hao-yu
Shu, Shi-bo
Li, Ya-qiong
Zhang, Yong-jie
Li, Xu-fang
Gu, Yu-dong
Liu, Cong-zhan
Li, Hai-feng
Gao, He
Li, Zheng-wei
Instrumentation and Methods for Astrophysics
A superconducting quantum interference device (SQUID), functioning as a nonlinear response device, typically requires the incorporation of a flux-locked loop (FLL) circuit to facilitate linear amplification of the current signal transmitted through a superconducting transition-edge sensor (TES) across a large dynamic range.This work presents a reasonable model of the SQUID-FLL readout system, based on a digital proportional-integral-differential (PID) flux negative feedback algorithm.This work investigates the effect of $V$-$ϕ$ shape on the performance of digital FLL circuits.Such as the impact factors of bandwidth, design limits of slew rate of the system and the influence of the shapes of SQUID $V$-$ϕ$ curve.Furthermore, the dynamic response of the system to X-ray pulse signals with rise time ranging from $4.4{\sim}281$ $\mathrm{μs}$ and amplitudes ranging from $6{\sim}8$ $\mathrm{ϕ_0}$ was simulated.All the simulation results were found to be consistent with the existing mature theories, thereby validating the accuracy of the model.The results also provide a reliable modelling reference for the design of digital PID flux negative feedback and multiplexing SQUID readout electronic systems.
title Performance Analysis of Digital Flux-locked Loop Circuit with Different SQUID $V$-$ϕ$ Transfer Curves for TES Readout System
topic Instrumentation and Methods for Astrophysics
url https://arxiv.org/abs/2502.03977