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Modeling of a Low Temperature Rankine Cycle for Small Scale Cogen

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Modeling of a Low Temperature Rankine Cycle for Small Scale Cogen ( modeling-low-temperature-rankine-cycle-small-scale-cogen )

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Sylvain Quoilin Appendix 1 : Other solutions for low grade heat recovery 5. The Thermoelectric effect. The thermoelectric effect, also called the Seebeck effect, is the direct conversion of heat energy into electric energy. When a semiconductor is submitted to a temperature gradient, heat flows though it and puts in motion the charge carriers : the holes for the p­type and the electrons for the n­type run in the opposite direction, to create an entropy flux opposed to the one created by the heat flux. The current in the n­ type semiconductor is hence in the same direction than the heat flux, and in the opposite direction for the p­type. Therefore, connecting the semiconductors as indicated on figure 70 is equivalent to connecting a set of current generators in series. Figure 70: Working principle of the thermoelectric generator The thermoelectric effect is characterised by the Seebeck coefficient, which formulates the electromagnetic force between two different materials submitted to a temperature gradient : The performances of the thermoelectric conversion from heat to electricity are expressed by a non­ dimensional coefficient ZT called figure­of­merit. The first thermoelectric materials had a figure­of­ merit of about 1 to 1.5. Nowadays, the usual values run from 2 to 3 and researchers hope to reach ZT=4 in a close future. Sab=dV=Sa−Sb dT 124

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