Author(s)

Zinovi Krougly¹, Vladimir Krougly², Serge Bays²

¹Department of Mathematics, Western University, London, Canada.
²Limesoft Inc., London, Canada.

Predictive Emission Monitoring Systems (PEMS) offer a cost-effective and environmentally friendly alternative to Continuous Emission Monitoring Systems (CEMS) for monitoring pollution from industrial sources. Multiple regression is one of the fundamental statistical techniques to describe the relationship between dependent and independent variables. This model can be effectively used to develop a PEMS, to estimate the amount of pollution emitted by industrial sources, where the fuel composition and other process-related parameters are available. It often makes them sufficient to predict the emission discharge with acceptable accuracy. In cases where PEMS are accepted as an alternative method to CEMS, which use gas analyzers, they can provide cost savings and substantial benefits for ongoing system support and maintenance. The described mathematical concept is based on the matrix algebra representation in multiple regression involving multiple precision arithmetic techniques. Challenging numerical examples for statistical big data analysis, are investigated. Numerical examples illustrate computational accuracy and efficiency of statistical analysis due to increasing the precision level. The programming language C++ is used for mathematical model implementation. The data for research and development, including the dependent fuel and independent NOx emissions data, were obtained from CEMS software installed on a petrochemical plant.

Matrix Algebra in Multiple Linear Regression, Numerical Integration, High Precision Computation, Applications in Predictive Emission Monitoring Systems

Krougly, Z. , Krougly, V. and Bays, S. (2023) Multiple Regression and Big Data Analysis for Predictive Emission Monitoring Systems. Applied Mathematics, 14, 386-410. doi: 10.4236/am.2023.145023.