Uncertainty estimation of the efficiency of small-scale boilers

Abstract This article presents uncertainty estimation in measurements aimed at determining the thermal balance of a small-scale coal-fired boiler and its efficiency. In order to estimate uncertainty of boilers efficiency, the GUM uncertainty framework (GUF) analytical method and the numerical method (MCM) based on Monte Carlo simulation were used. This article shows that the MCM allows to estimate the uncertainty with accuracy similar to that obtained with the GUF method. It was proved that the quality of the fuel, i.e. its net calorific value and carbon content, were key factors in uncertainty estimation, 33% and 65% respectively. Taking into consideration the obtained results, a number of feasible simplifications regarding uncertainty evaluation were suggested. They included neglecting the effect of nonlinearity of the measurement model on efficiency uncertainty, neglecting correlation between parameters measured with a flue-gas analyser, and using the reference coverage factor equal to 2 to calculate the expanded uncertainty. These simplifications are not likely to diminish the accuracy of the results. The obtained results are within the measurements uncertainty range, so it could be concluded that the influence of fuel additives on boiler’s efficiency is not obvious.

[1]  N. Metropolis,et al.  The Monte Carlo method. , 1949 .

[2]  M. E. Muller,et al.  A Note on the Generation of Random Normal Deviates , 1958 .

[3]  T. Mrakovčić,et al.  Performance study of fuel oil additives in real power plant operating conditions , 2013 .

[4]  Ian Farrance,et al.  Uncertainty in measurement: a review of monte carlo simulation using microsoft excel for the calculation of uncertainties through functional relationships, including uncertainties in empirically derived constants. , 2014, The Clinical biochemist. Reviews.

[5]  I. D. Hill,et al.  Correction: Algorithm AS 183: An Efficient and Portable Pseudo-Random Number Generator , 1982 .

[6]  Paulo Smith Schneider,et al.  Fourier transform method for sensitivity analysis in coal fired power plant , 2007 .

[7]  Wayne Turner,et al.  Energy Management Handbook , 2020 .

[8]  Walter Haslinger,et al.  Performance of a pellet boiler fired with agricultural fuels , 2013 .

[9]  Hacı Mehmet Şahin,et al.  Determination of uncertainties in energy and exergy analysis of a power plant , 2014 .

[10]  Maryori Díaz-Ramírez,et al.  Influencing factors on NOX emission level during grate conversion of three pelletized energy crops. , 2014 .

[11]  Svend Bram,et al.  Residential pellet boilers in Belgium: Standard laboratory and real life performance with respect to European standard and quality labels , 2011 .

[12]  Mohd . Mahmoodur Rahman,et al.  EVALUATION OF FUEL CHEMICAL ADDITIVES TO REDUCE CORROSION AND STACK EMISSION IN SWCC POWER PLANTS 1 , 2005 .

[13]  I. D. Hill,et al.  An Efficient and Portable Pseudo‐Random Number Generator , 1982 .

[14]  Andrew Chen,et al.  Comparison of GUM and Monte Carlo methods for evaluating measurement uncertainty of perspiration measurement systems , 2016 .