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Data evaluation for wastewater treatment plants : linear vs bilinear mass balances

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Abstract
While nowadays a lot of measurements are conducted at wastewater treatment plants, data reliability could further be improved, e.g., through data reconciliation. This study demonstrated the added value of data reconciliation to improve data quality in a full-scale wastewater treatment plant. Also, the effect of the mass balance setting (linear and bilinear mass balances) was quantitatively evaluated, considering data sets with missing measurements and with gross errors. The improvement in the precision of the key variables was higher with bilinear mass balances (40-80 %) compared to the linear setting (0-70 %). Besides, it delivered a higher number of improved key variables, especially when flow measurements were limited (minimum improved variables of 15 and 0, respectively). Bilinear mass balances were also more efficient in gross error detection and played a crucial role in cross-validation based on flow measurements, resulting in lower incorrectly-identified gross errors. Overall, it is recommended to use bilinear mass balances.
Keywords
Data reconciliation, Gross error detection, Wastewater treatment, Mass balances, DATA RECONCILIATION, FLOW-ANALYSIS

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MLA
Le, Hong Quan, et al. “Data Evaluation for Wastewater Treatment Plants : Linear vs Bilinear Mass Balances.” COMPUTERS & CHEMICAL ENGINEERING, vol. 195, 2025, doi:10.1016/j.compchemeng.2025.109012.
APA
Le, H. Q., Carrera Fernández, P., van Loosdrecht, M. C. M., & Volcke, E. I. P. (2025). Data evaluation for wastewater treatment plants : linear vs bilinear mass balances. COMPUTERS & CHEMICAL ENGINEERING, 195. https://doi.org/10.1016/j.compchemeng.2025.109012
Chicago author-date
Le, Hong Quan, Paula Carrera Fernández, M.C.M. van Loosdrecht, and Eveline I. P. Volcke. 2025. “Data Evaluation for Wastewater Treatment Plants : Linear vs Bilinear Mass Balances.” COMPUTERS & CHEMICAL ENGINEERING 195. https://doi.org/10.1016/j.compchemeng.2025.109012.
Chicago author-date (all authors)
Le, Hong Quan, Paula Carrera Fernández, M.C.M. van Loosdrecht, and Eveline I. P. Volcke. 2025. “Data Evaluation for Wastewater Treatment Plants : Linear vs Bilinear Mass Balances.” COMPUTERS & CHEMICAL ENGINEERING 195. doi:10.1016/j.compchemeng.2025.109012.
Vancouver
1.
Le HQ, Carrera Fernández P, van Loosdrecht MCM, Volcke EIP. Data evaluation for wastewater treatment plants : linear vs bilinear mass balances. COMPUTERS & CHEMICAL ENGINEERING. 2025;195.
IEEE
[1]
H. Q. Le, P. Carrera Fernández, M. C. M. van Loosdrecht, and E. I. P. Volcke, “Data evaluation for wastewater treatment plants : linear vs bilinear mass balances,” COMPUTERS & CHEMICAL ENGINEERING, vol. 195, 2025.
@article{01JSEC5K4YED4TYZDVZ2T2HGVR,
  abstract     = {{While nowadays a lot of measurements are conducted at wastewater treatment plants, data reliability could further be improved, e.g., through data reconciliation. This study demonstrated the added value of data reconciliation to improve data quality in a full-scale wastewater treatment plant. Also, the effect of the mass balance setting (linear and bilinear mass balances) was quantitatively evaluated, considering data sets with missing measurements and with gross errors. The improvement in the precision of the key variables was higher with bilinear mass balances (40-80 %) compared to the linear setting (0-70 %). Besides, it delivered a higher number of improved key variables, especially when flow measurements were limited (minimum improved variables of 15 and 0, respectively). Bilinear mass balances were also more efficient in gross error detection and played a crucial role in cross-validation based on flow measurements, resulting in lower incorrectly-identified gross errors. Overall, it is recommended to use bilinear mass balances.}},
  articleno    = {{109012}},
  author       = {{Le, Hong Quan and Carrera Fernández, Paula and van Loosdrecht, M.C.M. and Volcke, Eveline I. P.}},
  issn         = {{0098-1354}},
  journal      = {{COMPUTERS & CHEMICAL ENGINEERING}},
  keywords     = {{Data reconciliation,Gross error detection,Wastewater treatment,Mass balances,DATA RECONCILIATION,FLOW-ANALYSIS}},
  language     = {{eng}},
  pages        = {{9}},
  title        = {{Data evaluation for wastewater treatment plants : linear vs bilinear mass balances}},
  url          = {{http://doi.org/10.1016/j.compchemeng.2025.109012}},
  volume       = {{195}},
  year         = {{2025}},
}

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