Abstract
We have constructed an integrated method to model the system of measuring the density of flows of infrared radiation based on solving the inverse problems of dynamics using the Volterra equation of the first kind and focusing on solving the problem on dynamic correction. Solving a problem on the structural correction of the dynamic characteristics of the system for measuring the density of flows implies the construction and application in a transforming channel or a circuit in the system of a certain unit. This unit, owing to its specially formed dynamic properties, ensures the best dynamic characteristics of the entire system. We have experimentally verified the technique for the compensation for a dynamic error. To this end, the experiments were conducted to measure the density of a non-stationary flow of infra-red radiation with the assigned law of change, which is characteristic of the practical working conditions for receivers. A change in the density of the incident flow of infrared radiation was achieved at the expense of the receiver's rotation around the axis that passes through the middle of its receiving surface, in the flow of the stationary emitter. The result of the experiment is the derived nonlinear approximation of the experimentally obtained transitional characteristic in the form of the receiver's response to the sinusoidal flow of infrared radiation. It should be specifically noted that the results of numerical simulation and the experiment show a satisfactory convergence, which allows us to argue about the correct choice of the model. The developed algorithms are capable to provide a numerical implementation of integrated models and serve as the basis for constructing high-performance specialized microprocessor systems to work in real time. That has made it possible to successfully implement the dynamic correction of the system for measuring flows of infrared radiation and to significantly increase its accuracy. A combined application of the devised method for solving mathematical problems and computer tools would provide an opportunity to improve the efficiency of processes to synthesize and design computational devices for correcting means of measurement
Highlights
Over recent time, given a serious rise in energy cost, more and more thermal equipment manufacturers are seeking ways to effectively use the special features of infrared (IR) radiation when supplying radiant energy [1]
The task on improving the accuracy and high-speed performance can be solved by the development of methods and algorithms for solving mathematical problems on signal recovery that come down to solving the Volterra equation of the first kind [15, 16]. This allows us to suggest that the construction of an appropriate method would solve the task on correcting the dynamic characteristics of the IR-radiation flow measurement system by using advanced computer tools
The aim of this study is to construct an integrated method for modeling a system to measure the density of infrared radiation fluxes, which would make it possible to implement the dynamic correction of the system and to greatly improve its accuracy
Summary
Given a serious rise in energy cost, more and more thermal equipment manufacturers are seeking ways to effectively use the special features of infrared (IR) radiation when supplying radiant energy [1]. The creation of new modern IR installations requires both analytical and experimental in-depth studies into processes of energy transfer in absorbing environments, as well as the processes of heat exchange via radiation [1, 2] In this case, an important criterion is the economic and performance characteristics of the designed equipment. A significant disadvantage of the approximated methods is the total absence of analytical connection between the functions of temperature, as well as effective flows of IR-radiation and optical properties and settings of the mutual arrangement of elements in the system’s design [5] Under these conditions, it is a relevant task to devise new methods for measuring or application of mathematical methods to process measurement data in order to improve the degree of its reliability. Accounting for the increasing requirements to signal processing methods and tools, for the increased volume of calculations, could be achieved by creating the methods of mathematical modeling, as well as numerical algorithms and software that implement mathematical models [6]
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