Thermoelectric Power Generation N.B: Show all the steps and calculations Use consistent and appropriate...

 

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Thermoelectric Power Generation N.B: • Show all the steps and calculations • Use consistent and appropriate SI units • make scientific assumptions where necessary 1. Table 1 shows the specifications of a thermoelectric generator (TEG). The cold side and hot side temperatures are 200 °C and 900 *C respectively. Table 1: Specifications of a thermoelectric power generator (TEC) Device 1 Parameter p-type n-type Seebeck coefficient (e) [µV/K] 120 -170 Resistivity (p) [µWm] 18 14 thermal conductivity (A) [W/m-K] 1.1 1.5 Height (h) [cm] 2.0 3.0 Cross section (A) [cm³] 3.1 2.4 a) Calculate the Seebeck coefficient of the TEG device b) Calculate the equivalent internal resistance of the TEG device c) Calculate the equivalent thermal conductance of the TEG device d) Determine the dimensionless figure-of-merit (ZT) e) Determine the thermoelectric figure-of-merit Z (K&') f) Calculate the resistance ratio (m) of the generator g) Calculate the load resistance from the resistance ratio h) Compute the Carnot efficiency of the device i) Compute the maximum thermal efficiency of the device j) Compute the electric output power of the device 2. What will be the change in the thermoelectric figure of merit when the Seebeck coefficient of the material is tripled? Thermoelectric Power Generation N.B: • Show all the steps and calculations • Use consistent and appropriate SI units • make scientific assumptions where necessary 1. Table 1 shows the specifications of a thermoelectric generator (TEG). The cold side and hot side temperatures are 200 °C and 900 *C respectively. Table 1: Specifications of a thermoelectric power generator (TEC) Device 1 Parameter p-type n-type Seebeck coefficient (e) [µV/K] 120 -170 Resistivity (p) [µWm] 18 14 thermal conductivity (A) [W/m-K] 1.1 1.5 Height (h) [cm] 2.0 3.0 Cross section (A) [cm³] 3.1 2.4 a) Calculate the Seebeck coefficient of the TEG device b) Calculate the equivalent internal resistance of the TEG device c) Calculate the equivalent thermal conductance of the TEG device d) Determine the dimensionless figure-of-merit (ZT) e) Determine the thermoelectric figure-of-merit Z (K&') f) Calculate the resistance ratio (m) of the generator g) Calculate the load resistance from the resistance ratio h) Compute the Carnot efficiency of the device i) Compute the maximum thermal efficiency of the device j) Compute the electric output power of the device 2. What will be the change in the thermoelectric figure of merit when the Seebeck coefficient of the material is tripled?

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