Determining the composition of burned gas using the method of constraints as a problem of model interpretation
DOI:
https://doi.org/10.15587/1729-4061.2019.169219Keywords:
composition of fuel, inverse problem, complex interpretation problem, constraints method.Abstract
This paper proposes a method for solving the problem on determining the unknown composition of a gaseous hydrocarbon fuel during its combustion in real time. The problem had been defined as the inverse, ill-posed problem. A technique for measuring technological parameters makes it possible to specify it as a complex interpretation problem.
To solve it, a "library" method has been selected (selection), which is the most universal one. To implement it, a method has been constructed to compile a library in the form of a working three-dimensional array. The source data for each solution to a direct problem in the generated array are represented in the form of a single number. To this end, a position principle for recording decimal numbers has been applied.
Compiling a working array employed a method for comparing the excess factor of an oxidizer and the ratio of volumetric consumption of an oxidizer and fuel. This has made it possible to apply the results from solving a direct problem on determining the temperature of combustion products in order to solve the inverse problem on determining this composition based on the measured temperature.
A method has been devised for finding a solution among the elements of the working array based on the results from technological measurements of temperature of the combustion products of the burnt fuel and the ratio of the volumetric consumption of an oxidizer and fuel.
The work shows the absence of errors introduced to the solution by an algorithm of the proposed method. When modeling precise technological measurements, errors are due only to the sampling of source data while solving a direct problem. The influence of measuring the technological parameters on accuracy in determining the composition of fuel has been defined. It does not exceed the magnitude that is permissible for engineering calculations.
The proposed calculation method could make it possible to use under a managed mode, in energy and in the chemical industry, a large amount of hydrocarbon fuel gases that are currently considered waste. Their energy equivalent is comparable with the energy needs by the African continent.
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