– Th: Temperature of hot side (K)
– Tc: Temperature of cold side (K)
– ΔT: Th-Tc
– Tavg: (Th+Tc)/2
This module is the one I ordered and has a detailed datasheet which includes some plots at Th=27°C (300K) and Th=50°C (323K). No formulas and parameters of the module are provided so these were derived from the plots using the fit option of Wolfram Alpha.
The Seebeck effect causes an electromotive force, Uemf when a temperature difference is applied to the sides of the module,
Uemf = SΔT,
Where S is the difference between Seebeck coefficients of the n and p material inside the module. Since the module contains 127 elements, S is equal to 127 times the Seebeck coefficient of a single element.
Uemf = SΔT
I = (U-SΔT)/R
U = IR+SΔT
P = UI = U²/R-(USΔT)/R = I²R+ISΔT
QC = QP-P/2-QL
QH = QP+P/2-QL
QP = TavgSI = TavgS(U-SΔT)/R