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D APPENDIX D: TECHNOLOGY SOLUTIONS FOR ENERGY RECOVERY This same current pumps heat within the thermoelectric device due to the Peltier effect, which lowers the initial temperature differential when the current is zero. Part of the heat energy, H, through the Seebeck-generated current, is converted to Joule heating within the legs of the thermoelectric device. The efficiency, n, for a power generator is the output power, I2RL, divided by H. It can be shown that &T'T#$ 1+ZT'1! (max=$1 0!$ T! (4) T % 1 "$1+ZT+0! %1" where the first term is the Carnot efficiency. The second term contains T, which is the average temperature of the leg. The Z is the figure of merit of the semiconductor legs; it represents a “quality factor” of the material to perform as a thermoelectric device. Recent Developments in Thermoelectric Materials Thermoelectric materials are of interest for application as heat pumps and power generators. The performance of thermoelectric devices is quantified by a figure of merit, ZT, as previously described. A material with a figure of merit of around unity was first reported over four decades ago, but since then – despite investigation of various approaches – there has been only modest progress in finding materials with enhanced ZT values at room temperature. In 2001, Rama Venkatasubramanian and co-workers at the Research Triangle Institute in North Carolina reported that thin-film thermoelectric materials demonstrate a significant enhancement of ZT at 300 K, compared to bulk Bi2Te3 alloys. This amounts to a maximum observed factor of 2.4 for p-type Bi2Te3/Sb2Te3 superlattice devices. The enhancement is achieved by controlling the transport of phonons and electrons in the superlattices. High atomic weight reduces the speed of sound in the material, and thereby decreases the thermal conductivity. Although it is possible in principle to develop bulk semiconductors with ZT > 3, there are no candidate materials on the horizon. Preliminary devices exhibit significant cooling (32 K at around RT) and the potential to pump a heat flux of up to 700 W/cm2; the localized cooling and heating occurs some 23,000 times faster than in bulk devices. Most commercial thermoelectric devices are for cooling. Venkatasubramanian’s group has found a way to greatly increase the amount and speed of heating or cooling using superlattices: stacks of very thin films of two alternating superconducting materials. It is reported that the material properties, as measured by ZT, are 2.5 times better than the current state of the art, have been verified by more than one method, and are useful at room temperature. Previously, it had been widely assumed that a thermoelectric “barrier” existed with a ZT = 1. Another encouraging development has been by Hsu et al., in a report describing AgPbmSbTe2+m with a ZT ~2 at 800 K for m = 18. Although the temperature may be too high for refrigeration, it is appropriate for power generation. What is interesting, however, is the discovery that this material contains regions 2 to 4 nm in size that are rich 104 TPDF Image | Analysis for Recovering Energy from Industrial Waste Heat
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