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APPROXIMATION OF THE AMPLITUDE CHARACTERISTICS OF PELTIER THERMOELECTRIC MODULES BASED ON CONTINUOUS PIECEWISE LINEAR FUNCTIONS
Abstract
On a global scale, every year the environmental problems that arise when using traditional methods of obtaining heat and cold are becoming more and more relevant. In this regard, and also in view of a number of successes in the field of materials science, in recent years, the thermoelectric Peltier effect has been of increasing practical interest to researchers. So for several years, the average increase in the global production of thermoelectric modules and thermoelectric devices for various purposes was about 15%. Their application is very promising for use in various applications. This is especially true for the branches of the agro-industrial complex, its objects are characterized by a special item of energy costs for creating a special microclimate of production, which can provide more than 50% of the total cost of purchasing energy resources. An effective approach to solving the problems of analysis, optimization and synthesis of climate control systems based on Peltier thermoelectric modules with automatic control systems. However, in this case, the solution of these problems is complicated by the presence of non-linearity of the amplitude characteristic of the control object - the dependence of the output temperature (or its difference) on the control current of the thermoelectric module. To solve this problem, we propose the use of approximation methods based on continuous piecewise linear functions, which differ by an unfixed step in the selection of approximation nodes and the possibility of adaptation for specific nonlinear characteristics, which allows us to significantly reduce the root-mean-square error of their representation.
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