Abstract
On-line, real-time collection of measurements remains a key challenge in water quality monitoring and control due to unknown and varying quality of on-line sensor data. Today’s data quality assessment is typically based on a comparison of sensor-based measurements and grab samples of the sampled solution taken next to the on-line analyzer and analyzed in a laboratory. In this work, internal data is used for fault detection and identification of a phosphate analyzer to inspect the measuring process itself. These internal data is shown to be information-rich with respect to the analyzer’s status. Furthermore, this information is captured well by means of a newly developed method for qualitative analysis of time series. This method was developed with global optimality in mind and therefore lends itself to a probabilistic assessment of the qualitative representation of time series.
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Nopens, I., Villez, K., Rieger, L., Vanrolleghem, P.A.: Monitoring the water cycle—state of the art and future needs. IWA Yearbook 2007, 33–36 (2007)
Thomann, M., Rieger, L., Frommhold, S., Siegrist, H., Gujer, W.: An efficient monitoring concept with control charts for on-line sensors. Water Sci. Technol. 46(4–5), 107–116 (2002)
Rosén, C., Röttorp, J., Jeppsson, U.: Multivariate monitoring: challenges and solutions for modern wastewater treatment operation. Water Sci. Technol. 47(2), 171–179 (2003)
Rieger, L., Vanrolleghem, P.A.: monEAU: a platform for water quality monitoring networks. Water Sci. Technol. 57(7), 1079–1086 (2008)
American Public Health Association (APHA), American Water Works Association (AWWA) & Water Environment Federation (WEF): Standard Methods for the Examination of Water & Wastewater: Centennial Edition (Eaton, A.D., L.S., Clesceri, E.W., Rice, A.E., Greenberg, M.A.H. Franson, (Eds.)), Washington D.C., 1368 pp (2005)
Villez, K., Rosén, C., Anctil, F., Duchesne, C., Vanrolleghem, P.A.: Qualitative representation of trends: an alternative approach to process diagnosis and control. Water Sci. Technol. 57(10), 1525–1532 (2008)
Villez, K., Rosén, C., Duchesne, C., Anctil, F., Vanrolleghem, P.A.: Qualitative representation of trends (QRT): extended method for proper inflection point recognition. Comput. Chem. Eng. (2011) (Submitted)
Villez, K., Keser, B., Rieger, L.: Qualitative representation of trends (QRT) as a tool for automated data-driven diagnostics for on-line sensors. In: Proceedings of the 7th IFAC Symposium on Fault Detection, Supervision and Safety of Technical Processes (SafeProcess2009), Barcelona, Spain, 30 June–July 3, 2009, appeared on CD-ROM (2009)
Bakshi, B., Stephanopoulos, G.: Representation of process trends—part III. Multiscale extraction of trends from process data. Comput. Chem. Eng. 18, 267–302 (1994)
Rengaswamy, R., Venkatasubramanian, V.: A syntactic pattern-recognition approach for process monitoring and fault diagnosis. Eng. Appl. Artif. Intell. 8, 35–51 (1995)
Flehmig, F., Watzdorf, R.V., Marquardt, W.: Identification of trends in process measurements using the wavelet transform. Comput. Chem. Eng. 22, S491–S496 (1998)
Akbaryan, F., Bishnoi, P.R.: Smooth representation of trends by a wavelet-based technique. Comput. Chem. Eng. 24, 1913–1943 (2000)
Akbaryan, F., Bishnoi, P.R.: Fault diagnosis of multivariate systems using pattern recognition and multisensor data analysis technique. Comput. Chem. Eng. 25, 1313–1339 (2001)
Dash, S., Maurya, M.R., Venkatasubramanian, V.: A novel interval-halving framework for automated identification of process trends. AIChE J. 50, 149–162 (2004)
Charbonnier, S., Garcia-Beltan, C., Cadet, C., Gentil, S.: Trends extraction and analysis for complex system monitoring and decision support. Eng. Appl. Artif. Intell. 18, 21–36 (2005)
Villez, K., Rengaswamy, R., Venkatasubramanian, V.: Generalized qualitative shape constrained spline fitting. Technometrics (2012) (Submitted)
Parker, R.G., Rardin, R.L.: Discrete Optimization. Academic Press, New York (1998)
Forst, W., Hoffmann, D.: Optimization—Theory and Practice. Springer, New York (2010)
Kuipers, B.: Reasoning with qualitative models. Artif. Intell. 59, 125–132 (1993)
Nesterov, Y.: Squared functional systems and optimization problems. In: Frenk, H., Roos, K., Terlaky, T., Zhang, S. (eds.) High performance optimization, applied optimization, vol. 33, pp. 405–440. Kluwer Academic Publishers, Dordrecht (2000)
Papp, D.: Optimization models for shape-constrained function estimation problems involving nonnegative polynomials and their restrictions. M.Sc. thesis, Rutgers University (2011)
Swan, A.V.: Algorithm AS 16: maximum likelihood estimation from grouped and censored normal data. J. R. Stat. Soc. Ser. C Appl. Stat. 18(1), 110–114 (1969)
Wolynetz, M.S.: Maximum likelihood estimation in a linear model from confined and censored normal data. J. R. Stat. Soc. Ser. C Appl. Stat. 28(2), 195–206 (1979)
Vapnik, V.: The Nature of Statistical Learning Theory, 2nd edn. Springer, New York (1999)
Smola, A.J., Schölkopf, B.: A tutorial on support vector regression. Stat. Comput. 14, 199–222 (2003)
Donoho, D.L., Johnstone, I.M.: Ideal spatial adaptation by wavelet shrinkage. Biometrika 81, 425–455 (1994)
Parsons, S.: Qualitative Methods for Reasoning Under Uncertainty. MIT Press, Cambridge (2001)
Forbus, K.D.: Qualitative process theory. Artif. Intell. 24, 85–168 (1984)
Villez, K., Srinivasan, B., Rengaswamy, R., Narasimhan, S., Venkatasubramanian, V.: Kalman-based strategies for fault detection and identification (FDI): extensions and critical evaluation for a buffer tank system. Comput. Chem. Eng. 35, 806–816 (2011)
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Villez, K., Rieger, L., Keser, B. et al. Probabilistic qualitative analysis for fault detection and identification of an on-line phosphate analyzer. Int J Adv Eng Sci Appl Math 4, 67–77 (2012). https://doi.org/10.1007/s12572-012-0056-0
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DOI: https://doi.org/10.1007/s12572-012-0056-0