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MODELING OF NONLINEAR STABILITY OF AUTOMATIC CONTROL SYSTEMS OF PELTIER THERMOELECTRIC MODULES
Abstract
The high performance characteristics of Peltier thermoelectric modules (TEM) in comparison with compressor cooling systems are determined by the convenience of their use for both cooling and heating, technological advantages due to the absence of moving parts, etc. To effectively regulate the temperature conditions of TEM, it is necessary to develop automatic control systems with specified characteristics. Modeling and design of such systems is complicated by the essentially nonlinear properties of the constituent units, as well as the control object - the Peltier module. To analyze the nonlinear stability of a trigenerative climate control system based on TEM, a mathematical model of the system in the form of transfer characteristics based on approximation by piecewise linear functions has been developed. The relations defining the conditions of absolute stability of the model in the nonlinear mode according to the Popov criterion are obtained. As a result of the simulation, the stability areas of the system are calculated with varying parameters of the component links. The directions for the further use of the proposed methodology for the subsequent optimization and synthesis of TEM control systems are determined.
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