A novel 3D TCAD simulation of a thermoelectric couple configured for thermoelectric power generation. Staffordshire University (UK) ICREPQ 11

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A novel 3D TCAD simulation of a thermoelectric couple configured for thermoelectric power generation C.A. Gould, N.Y.A. Shammas, S. Grainger, I. Taylor Staffordshire University (UK) ICREPQ 11 ICREPQ 11 Page 1 of 19

Objectives Create a 3D model of a single thermoelectric couple using Synopsys Technology Computer Aided Design (TCAD) semiconductor design software Simulate the electrical and thermal behaviour of the 3D thermoelectric couple model Demonstrate the basic thermoelectric effects and present the simulation results for thermoelectric power generation ICREPQ 11 Page 2 of 19

Thermoelectric power generation The concept of using thermoelectric technology to generate electrical power from naturally occurring heat sources, and waste heat in a system, has been considered for some time, although the technology is often overlooked in discussions surrounding renewable energy sources Partly due to the relatively low levels of electrical power generated from a single thermoelectric module, and a typical conversion efficiency of between 5% to 10% Higher levels of electrical power can be output from a thermoelectric power generation system if several modules are connected together in series or parallel The technology is considered an environmentally friendly and renewable energy source, and can be used in applications where other renewable technologies could not be used, or in combination with other renewable technologies, in order to enhance a system s overall performance ICREPQ 11 Page 3 of 19

Thermoelectric power generation Recent focus and research has increased significantly in the area of low-power energy harvesting systems Parallel developments in: Low-power DC to DC conversion techniques Electrical energy storage in supercapacitors Thermoelectricity can make a major contribution to the development of lowpower energy sources, and by using low-power DC to DC conversion and supercapacitors, can output sufficient electrical power to operate low-power electronic systems, and recharge or replace batteries in many applications The technology is not limited to low-power applications: Power source for space-craft for deep-space missions Developing market in the automotive sector for thermoelectric power generation from vehicle waste heat (around 200W to 300W) ICREPQ 11 Page 4 of 19

Fundamental thermoelectric theory A standard thermoelectric module is typically constructed from several P-type and N-type thermoelectric couples A single thermoelectric couple is constructed from two 'pellets' of semiconductor material usually made from Bismuth Telluride (Bi 2 Te 3 ) One of these pellets is doped with acceptor impurity to create a P-type pellet, the other is doped with donor impurity to produce an N-type pellet The two pellets are physically linked together on one side, usually with a small strip of copper, and placed between two ceramic plates ICREPQ 11 Page 5 of 19

A small amount of electrical power, typically in the µw range, can be generated by a single thermoelectric couple if a temperature difference is maintained between two sides of the couple A single thermoelectric couple can operate as a heat-pump, providing cooling or heating of an object connected to one side of the couple if a DC current is applied to the couple s input terminals ICREPQ 11 Page 6 of 19

Thermoelectric power generation If a temperature difference is maintained between two sides of the thermoelectric couple, thermal energy will move through the electrically conductive N-type and P-type pellets Charge carriers will move through the device with this heat and an electrical voltage, called the Seebeck voltage, will be created If a resistive load is connected across the module s output terminals, electrical current will flow in the load and a voltage will be generated at the load ICREPQ 11 Page 7 of 19

Typical thermoelectric module Practical thermoelectric modules are constructed with several of these thermoelectric couples connected electrically in series and thermally in parallel Standard thermoelectric modules typically contain a minimum of three couples, rising to one hundred and twenty seven couples for a larger device ICREPQ 11 Page 8 of 19

Technology Computer Aided Design (TCAD) The Synopsys TCAD semiconductor simulation package has been chosen for this work as it is widely used in the semiconductor industry to simulate semiconductor device behaviour, and has the capability to simulate the semiconductor manufacturing process in addition to device simulation Existing published work into thermoelectric modelling and simulation have emphasised the use of ANSYS, COMSOL and SPICE compatible simulation software This is the first time TCAD has been used to model and simulate a P-N Couple rather than a P-N Junction The successful modelling of a single thermoelectric couple in TCAD will allow a more detailed analysis of the thermoelectric electrical and thermal effects to be undertaken than has been published in previous studies ICREPQ 11 Page 9 of 19

3D TCAD thermoelectric couple model A single thermoelectric couple has been modelled in TCAD The P-type and N-type material has been simulated using Silicon as the base material ICREPQ 11 Page 10 of 19

Mixed mode simulation For thermoelectric power generation, the 3D thermoelectric couple was simulated as a TCAD Mixed Mode Simulation rather than a Single Device Simulation In Mixed Mode simulation, it is possible to add external components and circuitry A load resistor (RL) was connected between the output terminals Copper 2 and Copper 3 of the device, in order to calculate the electrical power generated at the load ICREPQ 11 Page 11 of 19

Results With an initial doping concentration of 1e + 15cm -3 for both P-type and N-type pellets, the temperature of the thermal connection at Copper 1 was increased from 300 Kelvin to 301 Kelvin, with the temperature of the thermal contacts at Copper 2 and Copper 3 maintained at 300 Kelvin The temperature of the thermoelectric couple s lattice is shown under these test conditions, and highlights that a temperature gradient exists within the device ICREPQ 11 Page 12 of 19

Results It can be seen that without a temperature gradient, there is only negligible electrical power generated at the load, although it is not absolutely zero watts As the temperature gradient of 1 Kelvin is applied to the device, the output power at the load can be seen to increase to a peak of 0.00563 micro watts with a load resistance of 170 ohms, where maximum power transfer is achieved ICREPQ 11 Page 13 of 19

Results Changing the doping concentration significantly alters the amount of electrical power generated at the load, and the internal resistance of the device As the internal resistance of the device has now changed, the value of load resistance where maximum power transfer occurs will also change ICREPQ 11 Page 14 of 19

Results Increasing the thermal gradient on both sides of the device, by increasing the temperature of the thermal contact at Copper 1, results in an increase in electrical power generated at the load This is as expected as the Seebeck effect is temperature dependent A doping concentration of 1e + 16cm -3 for both P-type and N-type pellets was used for these tests ICREPQ 11 Page 15 of 19

3D TCAD thermoelectric couple model with ceramic outer plates The top and bottom face of the two ceramic plates have been used as the thermal contacts of the device, and are labelled Ceramic top and Ceramic bottom respectively Otherwise, the construction of the device is the same as shown earlier for a single thermoelectric couple ICREPQ 11 Page 16 of 19

Results The temperature of the thermal connection at Ceramic Top was increased from 300 Kelvin to 301 Kelvin, with the temperature of the thermal contact at Ceramic Bottom maintained at 300 Kelvin The ceramic plates absorb some of the applied temperature gradient, and the temperature gradient within the thermoelectric pellets is now more uniform than shown earlier without the ceramic outer plates ICREPQ 11 Page 17 of 19

Results As the thermoelectric couple is now at a more uniform temperature, the electrical power generated at the load has been reduced when compared to the previous test without the two ceramic plates Optimising the material properties of the Ceramic used in the construction of the outer plates, by increasing their thermal conductivity, should improve the electrical power generated by the thermoelectric couple ICREPQ 11 Page 18 of 19

Conclusions The 3D simulation of a thermoelectric couple in TCAD has been successfully achieved The preliminary simulation results demonstrate the basic principle of thermoelectric power generation The simulation results are in agreement with basic thermoelectric theory, and the use of Silicon as the base material is sufficient to demonstrate the basic concepts The TCAD thermoelectric couple simulation model can be used for further analysis into thermoelectric effects, material structure and technology The 3D simulation results presented in this paper confirm the 2D TCAD simulation results obtained in previous simulation experiments and published at ECT2010 C. A. Gould, N. Y. A. Shammas, S. Grainger, I. Taylor, A Novel 2D TCAD Simulation of a Thermoelectric Couple, Proc. of ECT2010-8 th European Conference on Thermoelectrics, Sept 22 nd -24 th 2010, Como, Italy, pp. 239-243 ICREPQ 11 Page 19 of 19