In this article, we have studied a simple model of the nanothermoelectric engine with a single level quantum dot. Based on the model, expressions for the power output and efficiency of the nanothermoelectric engine are derived. The effects of a spin-degenerate level and the temperature ratio of the two reservoirs on the performance of the nanothermoelectric engine are revealed. The optimal performance characteristics of the nanothermoelectric engine are analyzed by a numerical calculation and graphic method. Furthermore, some important operating regions, including the power output, efficiency, and temperatures of the cyclic working substance, are determined and evaluated optimally. At last, we discussed the relation to the thermoelectric figure of merit ZT.
A general micro/nanoscaled model of the Ericsson refrigeration cycle is established in which finite-rate heat transfer, heat leak and regeneration time are taken into account. Based on the model, expressions for several important parameters such as the coefficient of performance (COP), cooling rate and power input are derived. By using numerical calculation and illustration, the influence of ‘thermosize effects’ on the performance of the Ericsson refrigeration cycle is discussed and evaluated. The optimal ranges of the COP, cooling rate and power input are determined. Furthermore, some special cases are discussed in detail. The results obtained here will provide theoretical guidance on designing a micro/nanoscaled Ericsson cycle device.
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