基于声弛豫频率的可激发气体压强合成算法

doi:10.19596/j.cnki.1001-246x.7948

计算物理 ›› 2019, Vol. 36 ›› Issue (6): 699-706.DOI: 10.19596/j.cnki.1001-246x.7948

基于声弛豫频率的可激发气体压强合成算法

张克声¹, 张世功², 张向群³, 周正达⁴

1. 贵州理工学院电气与信息工程学院, 贵州贵阳 550003;
2. 贵州理工学院理学院, 贵州贵阳 550003;
3. 许昌学院信息工程学院, 河南许昌 461000;
4. 杭州智贝信息科技有限公司, 浙江杭州 310053

收稿日期:2018-08-21 修回日期:2018-10-12 出版日期:2019-11-25 发布日期:2019-11-25
通讯作者: 周正达(1981-),男,博士,从事信号处理和信息安全研究,E-mail:zhouzd@zhibeitech.com
作者简介:张克声(1978-),男,博士,副教授,从事声学气体检测和信号处理研究,E-mail:keshengzhang@163.com
基金资助:
国家自然科学基金（61461008，61571201，11764007）、国家留学基金（201708525058）、贵州省科学技术基金（黔科合J字[2015]2065）及贵州理工学院高层次人才引进项目（XJGC20140601）资助

An Algorithm for Synthesizing Excitable Gas Pressure Based on Sound Relaxation Frequency

ZHANG Kesheng¹, ZHANG Shigong², ZHANG Xiangqun³, ZHOU Zhengda⁴

1. School of Electrical and Information Engineering, Guizhou Institute of Technology, Guiyang, Guizhou 550003, China;
2. School of Science, Guizhou Institute of Technology, Guiyang, Guizhou 550003, China;
3. School of Information Engineering, Xuchang University, Xuchang, Henan 461000, China;
4. Zhibei Information Technology Co. Ltd., Hangzhou, Zhejiang 310053, China

Received:2018-08-21 Revised:2018-10-12 Online:2019-11-25 Published:2019-11-25

摘要/Abstract

摘要： 声弛豫频率是声吸收谱峰值点的频率，包含可激发气体成分、环境温度和压强信息.利用声弛豫频率线性正比气体压强的特性，提出一种通过两频点声吸收系数和声速测量值计算声弛豫频率，并通过查表方式合成气体压强的算法.算法的声弛豫频率测量误差具有随声测量值误差线性变换的特性，且当两频点的声吸收测量误差相等时，压强的合成误差为零.对于一定温度下的甲烷及其混合气体，仿真计算证明算法的有效性和声测量误差的稳健性.提供一种简单、稳健性好、可实时连续在线检测可激发气体腔体压强的声学方法.

关键词: 声弛豫频率, 气体压强, 声学测量, 气体压力容器

Abstract: Sound relaxation frequency is frequency of peak point in sound absorption spectrum, which contains information of gas composition, ambient temperature, and pressure in excitable gases. With characteristics of sound relaxation frequency is linearly in proportion to gas pressure, we propose an algorithm for synthesizing gas pressure by acoustic relaxation frequency calculated with absorption coefficients and sound speeds at two frequencies. Measurement error of sound relaxation frequency is proportional to acoustic measurement error. Specially, as sound absorption measurement errors at the two frequencies are equal, error of synthesized pressure is zero. For methane and its mixtures at a certain temperature, simulation results demonstrate effectiveness of the algorithm and its robustness to acoustic measurement errors. Thus, a novel acoustic method, which is simple, robust, and capable of on-line to detect pressure of excitable gas vessel, is provided.

Key words: sound relaxation frequency, gas pressure, acoustic measurement, gas pressure vessel

中图分类号:

O424

张克声, 张世功, 张向群, 周正达. 基于声弛豫频率的可激发气体压强合成算法[J]. 计算物理, 2019, 36(6): 699-706.

ZHANG Kesheng, ZHANG Shigong, ZHANG Xiangqun, ZHOU Zhengda. An Algorithm for Synthesizing Excitable Gas Pressure Based on Sound Relaxation Frequency[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2019, 36(6): 699-706.

参考文献

[1] WANG D Q, ZHANG P. Non-steady-state gas leakage model for pressure vessel failure[J]. China Safety Science Journal, 2012, 22(7):154-158.
[2] GAI F F, PANG B J, GUAN G S. Numerical investigation on the characteristics of debris clouds produced by hypervelocity impact on pressure vessels[J]. Chinese Journal of High Pressure Physics, 2009, 23(3):223-228.
[3] BIAN X, ZHANG Y, LI Y B, et al. A new method of using sensor arrays for gas leakage location based on correlation of the time-space domain of continuous ultrasound[J]. Sensors, 2015, 15(4):8266-8283.
[4] PÜTTMER A. New applications for ultrasonic sensors in process industries[J]. Ultrasonics, 2006, 44:e1379-1383.
[5] WANG R, AN L, SHEN G, ZHANG S. Three-dimensional temperature field reconstruction with acoustics based on regularized SVD algorithm[J]. Chinese Journal of Computational Physics, 2015, 32(2):195-201.
[6] HERZFELD K F, LITOVITZ T A. Absorption and dispersion of ultrasonic waves[M]. New York:Academic, 1959.
[7] ZHANG K S, WANG S, ZHU M, et al. Analytical model for acoustic multi-relaxation spectrum in gas mixtures[J]. Acta Physica Sinica, 2012, 61(17):174301.
[8] ZHANG K S, WANG S, ZHU M, et al. Decoupling multimode vibrational relaxations in multicomponent gas mixtures:Analysis of sound relaxational absorption spectra[J]. Chinese Physics B, 2013, 22(1):014305.
[9] LIU Y, LIU S, LEI J, et al. An algorithm for multi-physics field reconstruction based on molecular relaxation model of mixtures[J]. Chinese Journal of Computational Physics, 2014, 31(1):67-74.
[10] ZHANG Y, SONG H. Vibration-vibration relaxation of UF₆ vibrationally excited molecules[J]. Chinese Journal of Computational Physics, 2014, 31(2):230-236.
[11] COTTET A, NEUMEIER Y, SCARBOROUGH D, et al. Acoustic absorption measurements for characterization of gas mixing[J]. J Acoust Soc Am, 2004, 116:2081-2088.
[12] CARLSON J E, CARLSON R. Prediction of molar fractions in two-component gas mixtures using pulse-echo ultrasound and PLS regression[J]. IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control, 2006, 53:606-613.
[13] PETCULESCU A G, LUEPTOW R M. Quantitative acoustic relaxational spectroscopy for real-time monitoring of natural gas:A perspective on its potential[J]. Sensors and Actuators B:Chemical, 2012, 169(1):121-127.
[14] PETCULESCU A G, HALL B, FRAENZLE R, et al. A prototype acoustic gas sensor based on attenuation[J]. J Acoust Soc Am, 2006, 120(4):1779-1782.
[15] PHILLIPS S, DAIN Y, LUEPTOW R M. Theory for a gas composition sensor based on acoustic properties[J]. Measurement Science and Technology, 2003, 14(1):70-75.
[16] SHIELDS F D. On obtaining transition rates from sound absorption and dispersion curves[J]. J Acoust Soc Am, 1970, 47(5B):1262-1268.
[17] ZHANG K S, ZHANG X Q, SHAO F, et al. Analysis of environmental influencing on acoustic relaxation frequency in multi-component excitable gases[J]. Chinese Journal of Computational Physics, 2019, 36(1):89-98.
[18] ZHANG K S, WANG S, ZHU M, DING Y. Algorithm for capturing primary relaxation processes in excitable gases by two-frequency acoustic measurements[J]. Measurement Science and Technology, 2013, 24(5):055002.
[19] HU Y, WANG S, ZHU M, et al. Acoustic absorption spectral peak location for gas detection[J]. Sens Actuators B:Chem, 2014, 203:1-8.
[20] ZHANG K S, CHEN L K, OU W H, et al. A theory for monitoring combustion of natural gas based on the maximum point in sound absorption spectrum[J]. Acta Physica Sinica, 2015, 64(5):054302.
[21] ZHANG K S, DING Y, ZHU M, et al. Calculating vibrational mode contributions to sound absorption in excitable gas mixtures by decomposing multi-relaxation absorption spectroscopy[J]. Applied Acoustics, 2017, 116(15):195-204.
[22] PETCULESCU A G, LUEPTOW R M. Synthesizing primary molecular relaxation processes in excitable gases using a two-frequency reconstructive algorithm[J]. Physical Review Letters, 2005, 94(23):238301.
[23] KNESER H O. Relaxation processes in gases in physical acoustics:Vol. II[M]. Mason W P, ed. New York:Academic, 1965:133-199.
[24] ZHANG K S, ZHU M, TANG W Y, et al. Algorithm for reconstructing vibrational relaxation times in excitable gases by two-frequency acoustic measurements[J]. Acta Physica Sinica, 2016, 65(13):134302.
[25] ZHANG K S, ZHANG X Q, TANG W Y, et al. Calculation of vibrational energy transition rates in acoustic relaxation process for excitable gas molecules[J]. Acta Acustica, 2018, 43(3):309-409.
[26] BHATIA A B. Ultrasonic absorption[M]. New York:Dover, 1985.
[27] EJAKOV S G, PHILLIPS S, DAIN Y, et al. Acoustic attenuation in gas mixtures with nitrogen:Experimental data and calculations[J]. J Acoust Soc Am, 2003, 113(4):1871-187.

基于声弛豫频率的可激发气体压强合成算法

An Algorithm for Synthesizing Excitable Gas Pressure Based on Sound Relaxation Frequency

RichHTML

PDF

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 3

编辑推荐

Metrics

作者中心

审稿中心

期刊浏览

期刊介绍

[1]	张向群, 杜根远, 刘婷婷. 基于三频点声速测量的气体压强合成算法[J]. 计算物理, 2022, 39(4): 411-417.
[2]	张克声, 张向群, 邵芳, 唐文勇. 多元可激发气体声弛豫频率的环境影响分析[J]. 计算物理, 2019, 36(1): 89-98.
[3]	宋文栋, 刘祖黎, 李再光. 低气压下辉光放电等离子体参量对二次电离系数的影响[J]. 计算物理, 1992, 9(1): 53-58.