Construction of response surface model for photoacoustic-based H2S measurement system and significance analysis of multiple influential factors

Hongtu Cheng; Fuping Zeng; Ju Tang; Xiaoxing Zhang; Zujian Huang; Xianzong Chao

doi:10.1016/j.isatra.2023.07.017

Construction of response surface model for photoacoustic-based H₂S measurement system and significance analysis of multiple influential factors

ISA Trans. 2023 Nov:142:693-701. doi: 10.1016/j.isatra.2023.07.017. Epub 2023 Jul 18.

Authors

Hongtu Cheng¹, Fuping Zeng², Ju Tang³, Xiaoxing Zhang⁴, Zujian Huang¹, Xianzong Chao¹

Affiliations

¹ School of Electrical Engineering and Automation, Wuhan University, Wuhan, 430072, China.
² School of Electrical Engineering and Automation, Wuhan University, Wuhan, 430072, China; Hubei Key Laboratory of Power Equipment & System Security for Integrated Energy Resources, Wuhan, 430072, China. Electronic address: Fuping.Zeng@whu.edu.cn.
³ School of Electrical Engineering and Automation, Wuhan University, Wuhan, 430072, China; Hubei Key Laboratory of Power Equipment & System Security for Integrated Energy Resources, Wuhan, 430072, China.
⁴ School of Electrical Engineering and Automation, Wuhan University, Wuhan, 430072, China; School of Electrical and Electronic Engineering, Hubei University of Technology, Wuhan, 430068, China.

PMID: 37500412
DOI: 10.1016/j.isatra.2023.07.017

Abstract

Herein we first introduce the relationship between the photoacoustic (PA) signals' intensity of hydrogen sulfide (H₂S) versus multiple parameters of optical path conditions, following by the construction of response surface method (RSM)-based models of the PA signals' intensity versus the distance l₁ from the laser head to the convex lens, the distance l₂ from the convex lens to the PA cell (PAC), and the distance l₃ from the geometric center line of the light beam to the acoustic sensor. After that, we perform the significance analysis. The results show that the RSM model with a third-order configuration is relatively preferred. The distances l₁, l₂ and l₃ all have significant influences on the PA signals' intensity. Additionally, we ameliorated the performance of the full third-order model by removing the non-significant terms.

Keywords: Gas detection; Influential factors; Optimization; PA spectroscopy; RSM model.