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A Simplified Mathematical Model for Calculating the Thermal Efficiency of a Wood Pellets-Fired Industrial Boiler on the Basis of Error Analysis Method

Received: 17 October 2018     Published: 18 October 2018
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Abstract

The traditional calculation method of industrial boiler thermal efficiency needs to input many parameters, which leads to a lot of complicated calculations. It is not suitable to make an accurate judgement on the operating condition of an industrial boiler, especially a wood pellets-fired one. In order to solve this problem, the paper presents a simplified mathematical model to calculate the thermal efficiency of a wood pellets-fired industrial boiler on-line by using an error analysis method. More concretely speaking, first, based on the results of the error analysis of an industrial boiler thermal efficiency, main factors that affect the thermal efficiency of a wood pellets-fired industrial boiler are obtained. Then, a simplified mathematical model to calculate the thermal efficiency of the wood pellets-fired industrial boiler is developed in terms of the major factors. Finally, the calculating results of the industrial boiler thermal efficiency based on the model are compared with the test values given by Guangdong Special Equipment Inspection and Research Institute and the maximum deviation limits within 3%. Therefore, it can be concluded that the simplified mathematical model proposed in this paper for calculating the thermal efficiency of the wood pellets-fired industrial boiler is proved to be practical, applicable and worth popularizing.

Published in Science Journal of Energy Engineering (Volume 6, Issue 2)
DOI 10.11648/j.sjee.20180602.12
Page(s) 37-41
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2018. Published by Science Publishing Group

Keywords

Thermal Efficiency, Wood Pellets-Fired Industrial Boiler, Simplified Mathematical Model, Error Analysis, Model Verification

References
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[7] Wang Baowei, Qu Yuhua. Discussion on the boiler measures for saving coals from boiler [J]. Boiler Manufacturing, 1999(1):65-70.
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[10] Japanese standards association, JIS B 8222—1993 Land boiler-heat balancing, 1993
[11] Saidur R, Ahamed J U, Masjuki H H. Energy, exergy and economic analysis of industrial boilers [J]. Energy Policy, 2010, 38(5):2188-2197.
[12] Luo Chao et al, The Effect Analysis of Thermal Efficiency and Optimal Design for Boiler System, The 8th International Conference on Applied Energy – ICAE2016.
[13] J. Bujak, Mathematical modelling of a steam boiler room to research thermal efficiency, Energy 33 (2008) 1779–1787.
[14] Harish Satyavada, Simone Baldi, Monitoring energy efficiency of condensing boilers via hybrid firstprinciple modelling and estimation, Energy 142 (2018) 121-129.
[15] Robert Junga et al, Uncertainty estimation of the efficiency of small-scale boilers, Measurement 97 (2017) 186–194.
[16] ZHUO Xunjia et al, ANALYSIS AND APPLICATION OF UNCERTAINTY IN ANTI—BALANCING THERMAL EFFICIENCY oF BoILERS, thermal power generation 1002—3364 (2012) 02—0032—05.
[17] J. Wu, Y. Zhang, G. Xu, Y. Lin and X. Lv (2014) Research on the Optimization of Boiler Efficiency based on Artificial Bee Colony Algorithm, Computer and Information Science, 7, 30-38.
[18] Z. Xunjia, L. Jingyan, W. Jiangwei and J. Lincan (2012) Analysis and Application of Uncertainty in Anti-Balancing Thermal Efficiency of Boilers, Thermal Power Generation, 2, 32-36.
[19] P. Basu (2000) Boiler and burners, Springer, New York, USA, 11, 320-9.
[20] L. Li (2017) Hot test report of a 220t/h CFB boiler after retrofit, Guang Dong Special Equipment Test and Research Institute, Guangdong University of Technology, Guangzhou, China.
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  • APA Style

    Xiaozhou Liu, Ruiyu Li, Chunhui He, Yuesheng Li, Hongwei Wu. (2018). A Simplified Mathematical Model for Calculating the Thermal Efficiency of a Wood Pellets-Fired Industrial Boiler on the Basis of Error Analysis Method. Science Journal of Energy Engineering, 6(2), 37-41. https://doi.org/10.11648/j.sjee.20180602.12

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    ACS Style

    Xiaozhou Liu; Ruiyu Li; Chunhui He; Yuesheng Li; Hongwei Wu. A Simplified Mathematical Model for Calculating the Thermal Efficiency of a Wood Pellets-Fired Industrial Boiler on the Basis of Error Analysis Method. Sci. J. Energy Eng. 2018, 6(2), 37-41. doi: 10.11648/j.sjee.20180602.12

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    AMA Style

    Xiaozhou Liu, Ruiyu Li, Chunhui He, Yuesheng Li, Hongwei Wu. A Simplified Mathematical Model for Calculating the Thermal Efficiency of a Wood Pellets-Fired Industrial Boiler on the Basis of Error Analysis Method. Sci J Energy Eng. 2018;6(2):37-41. doi: 10.11648/j.sjee.20180602.12

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  • @article{10.11648/j.sjee.20180602.12,
      author = {Xiaozhou Liu and Ruiyu Li and Chunhui He and Yuesheng Li and Hongwei Wu},
      title = {A Simplified Mathematical Model for Calculating the Thermal Efficiency of a Wood Pellets-Fired Industrial Boiler on the Basis of Error Analysis Method},
      journal = {Science Journal of Energy Engineering},
      volume = {6},
      number = {2},
      pages = {37-41},
      doi = {10.11648/j.sjee.20180602.12},
      url = {https://doi.org/10.11648/j.sjee.20180602.12},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.sjee.20180602.12},
      abstract = {The traditional calculation method of industrial boiler thermal efficiency needs to input many parameters, which leads to a lot of complicated calculations. It is not suitable to make an accurate judgement on the operating condition of an industrial boiler, especially a wood pellets-fired one. In order to solve this problem, the paper presents a simplified mathematical model to calculate the thermal efficiency of a wood pellets-fired industrial boiler on-line by using an error analysis method. More concretely speaking, first, based on the results of the error analysis of an industrial boiler thermal efficiency, main factors that affect the thermal efficiency of a wood pellets-fired industrial boiler are obtained. Then, a simplified mathematical model to calculate the thermal efficiency of the wood pellets-fired industrial boiler is developed in terms of the major factors. Finally, the calculating results of the industrial boiler thermal efficiency based on the model are compared with the test values given by Guangdong Special Equipment Inspection and Research Institute and the maximum deviation limits within 3%. Therefore, it can be concluded that the simplified mathematical model proposed in this paper for calculating the thermal efficiency of the wood pellets-fired industrial boiler is proved to be practical, applicable and worth popularizing.},
     year = {2018}
    }
    

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  • TY  - JOUR
    T1  - A Simplified Mathematical Model for Calculating the Thermal Efficiency of a Wood Pellets-Fired Industrial Boiler on the Basis of Error Analysis Method
    AU  - Xiaozhou Liu
    AU  - Ruiyu Li
    AU  - Chunhui He
    AU  - Yuesheng Li
    AU  - Hongwei Wu
    Y1  - 2018/10/18
    PY  - 2018
    N1  - https://doi.org/10.11648/j.sjee.20180602.12
    DO  - 10.11648/j.sjee.20180602.12
    T2  - Science Journal of Energy Engineering
    JF  - Science Journal of Energy Engineering
    JO  - Science Journal of Energy Engineering
    SP  - 37
    EP  - 41
    PB  - Science Publishing Group
    SN  - 2376-8126
    UR  - https://doi.org/10.11648/j.sjee.20180602.12
    AB  - The traditional calculation method of industrial boiler thermal efficiency needs to input many parameters, which leads to a lot of complicated calculations. It is not suitable to make an accurate judgement on the operating condition of an industrial boiler, especially a wood pellets-fired one. In order to solve this problem, the paper presents a simplified mathematical model to calculate the thermal efficiency of a wood pellets-fired industrial boiler on-line by using an error analysis method. More concretely speaking, first, based on the results of the error analysis of an industrial boiler thermal efficiency, main factors that affect the thermal efficiency of a wood pellets-fired industrial boiler are obtained. Then, a simplified mathematical model to calculate the thermal efficiency of the wood pellets-fired industrial boiler is developed in terms of the major factors. Finally, the calculating results of the industrial boiler thermal efficiency based on the model are compared with the test values given by Guangdong Special Equipment Inspection and Research Institute and the maximum deviation limits within 3%. Therefore, it can be concluded that the simplified mathematical model proposed in this paper for calculating the thermal efficiency of the wood pellets-fired industrial boiler is proved to be practical, applicable and worth popularizing.
    VL  - 6
    IS  - 2
    ER  - 

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Author Information
  • School of Material & Energy, Guangdong University of Technology, Guangzhou, PR China

  • Guangdong Special Equipment Inspection and Research Institute Shunde Inspection Institute, Foshan, PR China

  • Guangdong Special Equipment Inspection and Research Institute Shunde Inspection Institute, Foshan, PR China

  • Guangdong Special Equipment Inspection and Research Institute Shunde Inspection Institute, Foshan, PR China

  • School of Engineering and Technology, University of Hertfordshire, Hatfield, United Kingdom

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