炉膛声学层析测温探头分布方式研究

doi:10.12096/j.2096-4528.pgt.20050

摘要/Abstract

摘要：

炉膛声学层析测温系统可获得炉膛温度二维/三维分布图像，超声波探头分布方式将直接影响其成像精度。研究了8、12及16个超声波探头的4面与4角分布方式，先采用Tikhonov正则化重建算法获取粗网格下的温度分布，再采用局部加权回归法预测网格细化后的温度分布。选取典型的温度场分布，对所研究的6种探头分布下温度场重建后的均方根误差及相关系数进行了比较，结果表明，采用16探头进行4面分布时，其重建精度最高。

关键词: 锅炉, 声学层析成像, 探头分布, 温度场重建, Tikhonov正则化

Abstract:

The two/three-dimensional distribution image of furnace temperature can be obtained by furnace acoustic tomographic temperature measurement system. The distribution of ultrasonic probes will directly affect its imaging accuracy. Four-side and four-corner distribution of 8, 12 and 16 ultrasonic probes were studied, respectively. Tikhonov regularization algorithm was adopted to obtain the temperature distribution under coarse mesh, and then the local weighted regression method was used to predict the temperature distribution after mesh refinement. Typical temperature field distributions reconstruction was carried out for the 6 probe distributions, and the root mean square error and correlation coefficient were analyzed. The results show that the highest accuracy can be obtained using 16 four-side distribution probes.

Key words: boiler, acoustic tomography, probe distribution, temperature field reconstruction, Tikhonov regularization

中图分类号:

TK311

张立峰, 苗雨. 炉膛声学层析测温探头分布方式研究[J]. 发电技术, 2021, 42(3): 329-335.

Lifeng ZHANG, Yu MIAO. Study of Probe Distribution for Furnace Acoustic Tomographic Temperature Measurement[J]. Power Generation Technology, 2021, 42(3): 329-335.

图/表 10

图1 6种探头分布

Fig.1 Six probe distributions

图2 温度场函数图

Fig.2 Temperature field function diagram

图3 单峰偏置温度场重建结果

Fig.3 Single-peak bias temperature field reconstruction results

表1 单峰偏置温度分布重建误差

Tab. 1 Reconstruction error of single-peak bias temperature distribution

参数	分布方式
参数	a	b	c	d	e	f
E_mse	0.020 0	0.020 1	0.032 7	0.043 8	0.012 3	0.015 0
R_e	0.992 4	0.992 3	0.983 1	0.968 7	0.996 2	0.994 2
K_em	49.620	49.368	30.064	22.116	80.991	66.280

图4 双峰对称温度场重建结果

Fig.4 Twin-peak symmetrical temperature field reconstruction results

表2 双峰对称温度分布重建误差

Tab. 2 Reconstruction error of double-peak symmetrical temperature distribution

参数	分布方式
参数	a	b	c	d	e	f
E_mse	0.027 3	0.027 3	0.035 5	0.051 4	0.023 5	0.019 3
R_e	0.980 1	0.979 7	0.978 4	0.951 5	0.986 0	0.989 0
K_em	35.901	35.886	27.560	18.511	41.957	51.243

图5 4峰温度场重建结果

Fig.5 Four-peak temperature field reconstruction results

表3 4峰温度分布重建误差

Tab. 3 Four-peak temperature distribution reconstruction error

参数	分布方式
参数	a	b	c	d	e	f
E_mse	0.097 4	0.078 8	0.084 4	0.100 7	0.059 5	0.039 6
R_e	0.897 6	0.917 6	0.921 2	0.842 0	0.948 6	0.974 6
K_em	9.215	11.644	10.914	8.361	15.942	24.611

表4 均匀空气分布下的综合指标均值

Tab. 4 Mean value of comprehensive index under uniform air distribution

分布	a	b	c	d	e	f
${\overline K _{{\rm{em}}}}$	31.578	32.299	22.846	16.329	46.296	47.378

表5 烟气分布下的综合指标均{ QUOTE brrhzimage: 21:erhhz值

Tab. 5 Mean value of comprehensive index under flue gas distribution

分布	a	b	c	d	e	f
${\overline K _{{\rm{em}}}}$	8.6885	8.9742	8.0882	7.3268	9.9834	10.5210

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