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Online proceedings - EDA Publishing Association

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7-9 October 2009, Leuven, Belgium<br />

Thermal matching of a thermoelectric energy<br />

harvester with the environment and its application in<br />

wearable self-powered wireless medical sensors<br />

V. Leonov 1 , P. Fiorini 1 , T. Torfs 1 , R. J. M. Vullers 2 , C. Van Hoof 1<br />

1<br />

IMEC<br />

Kapeldreef 75<br />

3010 Leuven, Belgium<br />

2<br />

Holst Centre / IMEC<br />

High Tech Campus 31<br />

Eindhoven 5656 AE, The Netherlands<br />

Abstract-In this work, we discuss why classical thermoelectric<br />

theory is not enough to design an optimized energy harvester.<br />

Then, the general conditions are defined, which are required to<br />

make a thermoelectric converter effective in such application.<br />

The necessity of the work has been prompted by the fact that<br />

while modeling the harvesters neither the constant temperature<br />

difference, nor the heat flow cannot be assumed. We show that<br />

simple equations obtained using electro-thermal analogy allow<br />

optimization of energy harvesters to reach their top<br />

performance characteristics. Thermal matching in MEMS<br />

thermopiles is discussed then. The examples of application<br />

thermally matched thermopiles for powering state-of-the-art<br />

wearable wireless sensors are discussed in the end.<br />

I. INTRODUCTION<br />

Powering wireless autonomous sensors by using energy<br />

harvesters could move such devices into mass production.<br />

Batteries and wiring are excluded as unrealistic ways. One<br />

thousand wireless sensors per each person is a current vision<br />

of the future wireless sensor network called “ambient<br />

intelligence”. These should be self-powered, preferably<br />

using photovoltaic cells. The thermoelectric conversion of<br />

wasted heat from low temperature sources however is the<br />

best way to provide power autonomy to the devices in<br />

locations, where no daylight and indoor illumination take<br />

place. However, because of energy saving reasons, wasted<br />

heat flows are usually minimized with the use of thermally<br />

isolating materials. Thermoelectric conversion of waste heat<br />

is complicated by the high thermal resistance of the heat sink<br />

(air) and, frequently, of the heat source (e.g., walls of<br />

buildings, plastic pipes, or living beings). The remaining<br />

heat flows and temperature differences available for energy<br />

harvesting are therefore relatively small. However, these<br />

wasted heat flows can be used for eliminating the need of<br />

primary batteries in most of autonomous devices placed<br />

inside buildings, machinery, or in closed compartments, and<br />

forming smart self-organizing autonomous networks. This<br />

paper discusses the principles of designing thermoelectric<br />

generators optimized for energy harvesting on lowtemperature<br />

sources of waste heat. As a proof of concept,<br />

the examples of fully self-powered wearable medical devices<br />

are designed, fabricated and briefly described.<br />

II. THERMOELECTRIC THEORY AND OPTIMIZED<br />

THERMOPILE<br />

In the thermoelectric theory, the optimization of a<br />

thermopile in power generation mode is discussed for two<br />

basic regimes of operation: (i) the heat flow through the<br />

thermopile, W, is constant, i.e., independent of its thermal<br />

resistance R tp<br />

and (ii) the temperature drop on the thermopile,<br />

ΔT, is constant, solid lines in Figs. 1a and 1b, respectively.<br />

There are also the second-order effects that discussed in the<br />

theory. These are Joule heating of thermopiles due to<br />

generated current and Peltier effect. However, these effects<br />

are minor and become important only in case of hightemperature<br />

operation (more than 100°C) and low serial<br />

thermal resistance of the environment, R env , therefore in the<br />

following discussion of energy harvesters we omit these<br />

effects for the sake of simplicity. The power generated by a<br />

thermopile on the matched load in this case is<br />

P = V 2 /4r el = α 2 ΔT 2 /4r el , (1)<br />

Fig. 1. Two regimes of a thermopile operation in power generation mode:<br />

(a) constant heat flow; R tp > R env .<br />

©<strong>EDA</strong> <strong>Publishing</strong>/THERMINIC 2009 95<br />

ISBN: 978-2-35500-010-2

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