Articles

A Review of Power Harvesting from Vibration using Piezoelectric Materials

Henry A. Sodano, Daniel J. Inman and Gyuhae Park

ABSTRACTThe process of acquiring the energy surround-ing a system and converting it into usable electrical energy istermed power harvesting. In the last few years, there hasbeen a surge of research in the area of power harvesting.This increase in research has been brought on by the mod-ern advances in wireless technology and low-power electron-ics such as microelectromechanical systems. The advanceshave allowed numerous doors to open for power harvestingsystems in practical real-world applications. The use of pie-zoelectric materials to capitalize on the ambient vibrationssurrounding a system is one method that has seen a dramat-ic rise in use for power harvesting. Piezoelectric materialshave a crystalline structure that provides them with the abilityto transform mechanical strain energy into electrical chargeand, vice versa, to convert an applied electrical potential intomechanical strain. This property provides these materials withthe ability to absorb mechanical energy from their surround-ings, usually ambient vibration, and transform it into electricalenergy that can be used to power other devices. While piezo-electric materials are the major method of harvesting energy,other methods do exist; for example, one of the conventionalmethods is the use of electromagnetic devices. In this paperwe discuss the research that has been performed in the areaof power harvesting and the future goals that must beachieved for power harvesting systems to find their way intoeveryday use.

KEYWORDS: power harvesting, energy scavenging, energygeneration, piezoelectric.

1. Introduction

With the recent advances in wireless and microelectro-mechanical systems (MEMS) technology, the demand forportable electronics and wireless sensors is growing rapidly.Because these devices are portable, it becomes necessarythat they carry their own power supply. In most cases thispower supply is the conventional battery; however, problemscan occur when using batteries because of their finitelifespan. For portable electronics, replacing the battery isproblematic because the electronics could die at any time

and replacement of the battery can become a tedious task. Inthe case of wireless sensors, these devices can be placed invery remote locations such as structural sensors on a bridgeor global positioning system (GPS) tracking devices on ani-mals in the wild. When the battery is extinguished of all itspower, the sensor must be retrieved and the battery re-placed. Because of the remote placement of these devices,obtaining the sensor simply to replace the battery can be-come a very expensive task or even impossible. For in-stance, in civil infrastructure applications it is often desirableto embed the sensor, making battery replacement unfeasible.If ambient energy in the surrounding medium could be ob-tained, then it could be used to replace or charge the battery.One method is to use piezoelectric materials to obtain ener-gy lost due to vibrations of the host structure. This capturedenergy could then be used to prolong the life of the powersupply or in the ideal case provide endless energy for theelectronic devices lifespan. For these reasons, the amount ofresearch devoted to power harvesting has been rapidly in-creasing. In this paper we review and detail some of the top-ics in power harvesting that have been receiving the mostresearch, including energy harvesting from mechanical vi-bration, biological systems, and the effects of power har-vesting on the vibration of a structure.

2. Fundamentals of Power HarvestingThe piezoelectric effect exists in two domains: the first is

the direct piezoelectric effect that describes the materials abil-ity to transform mechanical strain into electrical charge; thesecond form is the converse effect, which is the ability toconvert an applied electrical potential into mechanical strainenergy. The direct piezoelectric effect is responsible for thematerials ability to function as a sensor and the converse pi-ezoelectric effect is accountable for its ability to function asan actuator. A material is deemed piezoelectric when it hasthis ability to transform electrical energy into mechanicalstrain energy, and likewise to transform mechanical strainenergy into electrical charge.

Piezoelectric materials belong to a larger class of materi-als called ferroelectrics. One of the defining traits of a ferro-electric material is that the molecular structure is orientedsuch that the material exhibits a local charge separation, knowas an electric dipole. Throughout the material compositionthe electric dipoles are orientated randomly, but when the ma-terial is heated above a certain point, the Curie temperature,and a very strong electric field is applied, the electric dipoles

Henry A. Sodano and Daniel J. Inman, Center for Intelligent Material Sys-tems and Structures, Virginia Polytechnic Institute and State University,Blacksburg, VA 24061, USA. Gyuhae Park, Engineering Sciences and Applications, Weapon ResponseGroup, Los Alamos National Laboratory, Los Alamos, NM 87545, USA.

The Shock and Vibration Digest, Vol. 36, No. 3, May 2004 1972052004 Sage PublicationsDOI: 10.1177/0583102404043275

198 The Shock and Vibration Digest / May 2004

reorient themselves relative to the electric field; this processis termed poling. Once the material is cooled, the dipolesmaintain their orientation and the material is then said to bepoled. After the poling process is completed the materialwill exhibit the piezoelectric effect.

The mechanical and electrical behavior of a piezoelectricmaterial can be modeled by two linearized constitutive equa-tions. These equations contain two mechanical and two elec-trical variables. The direct effect and the converse effect maybe modeled by the following matrix equations (IEEE Stand-ard on Piezoelectricity, ANSI Standard 176-1987):

(1)

(2)Here, {D} is the electric displacement vector, {T} is the stressvector, [e] is the dielectric permittivity matrix, [cE] is the ma-trix of elastic coefficients at constant electric field strength,{S} is the strain vector, [S] is the dielectric matrix at con-stant mechanical strain, and {E} is the electric field vector.

After the material has been poled, an electric field can beapplied in order to induce an expansion or contraction of thematerial. However, the electric field can be applied along anysurface of the material, each resulting in a potentially differ-ent stress and strain generation. Therefore, the piezoelectricproperties must contain a sign convention to facilitate thisability to apply electric potential in three directions. For thesake of keeping this discussion simple, the piezoelectric ma-terial can be generalized for two cases. The first is the stackconfiguration that operates in the 33 mode and the secondis the bender, which operates in the 13 mode. The sign con-vention assumes that the poling direction is always in the3 direction, with this point the two modes of operation canbe understood. In the 33 mode, the electric field is appliedin the 3 direction and the material is strained in the polingor 3 direction; in the 31 mode, the electric field is ap-plied in the 3 direction and the material is strained in the1 direction or perpendicular to the poling direction. Thesetwo modes of operation are particularly important when de-fining the electromechanical coupling coefficient that occursin two forms: the first is the actuation term d, and the secondis the sensor term g. Thus g13 refers to the sensing coefficientfor a bending element poled in the 3 direction and strainedalong 1.

A full description of the piezoelectric effect and the meth-ods used to model the behavior of these materials is beyondthe scope of this paper. However, a significant number of jour-nal papers and conference proceedings develop accurate mod-els and discuss the fundamentals of these materials in greatdetail (Crawley and de Luis, 1987; Crawley and Anderson,1990; Hagood et al., 1990; Smits and Choi, 1991; Smits etal., 1991; Near, 1996; Inman and Cudney, 2000; Niezrecki etal., 2001) as well as numerous books published on this topic(Gandhi and Thompson, 1992; Ikeda, 1996; Banks et al.,1996; Culshaw, 1996; Clark et al., 1998; Srinivasan andMcFarland, 2001; Worden et al., 2003).

In the following sections of the paper we break the vari-ous works on power harvesting into the following groups:mechanical vibration, power harvesting efficiency, powerstorage and circuitry, implantable and wearable power sup-

plies, and damping induced by power harvesting. In Section 3,we discuss one paper that investigates the amount of energyavailable from one power harvesting device subjected to avibration environment. In Section 4 we look at research thatwas performed to classify the efficiency of certain methodsof power harvesting. In Section 5 we look at research intovarious types of power storage mediums and different circuitsdeveloped to maximize the electric power generated. A largeportion of work has been performed in the field of power har-vesting from biological systems and, while the papers foundin section 6 may deal with various subjects, they all have amajor focus on the ability to obtain energy from human oranimal activity. Section 7 will detail work into quantifyingthe effect of power harvesting on the dynamics of a vibrat-ing structure.

3. Mechanical Vibration

One of the most effective methods of implementing a pow-er harvesting system is to use mechanical vibration to applystrain energy to the piezoelectric material or displace an elec-tromagnetic coil. Power generation from mechanical vibrationusually uses ambient vibration around the power harvestingdevice as an energy source, and then converts it into usefulelectrical energy, in order to power other devices. The re-search in the following three sections has made use of me-chanical vibration in order to quantify the efficiency andamount of power capable of being generated, as well as topower various electronic systems, ranging from digital elec-tronics to wireless transmitters.

Williams and Yates (1996) proposed a device, which gen-erated electricity when embedded in a vibrating environ-ment. For their evaluation, an electromagnetic transducer waschosen. A harmonic analysis of the generator was performedin order to evaluate the viability of the device and to opti-mize the design. It was determined from the analysis that theamount of power generated was proportional to the cube of thevibration frequency. This illustrated that the generator waslikely to perform poorly at low frequencies. It was also de-termined that a low damping factor was required to maxi-mize power generation, therefore the design must allow forlarge deflections of the mass. For a typical device the pre-dicted power generation was 1 W at an excitation frequen-cy of 70 Hz, and 0.1 mW at 330 Hz (assuming a deflectionof 50 m).

4. Power Harvesting Efficiency

The two papers in this section investigate the efficiency ofa piezoelectric generator. The first paper looks at the effi-ciency of a piezoelectric vibrating in the 31 direction and thesecond paper tests a stack that operates in the 33 direction.It is important to quantify the efficiency of the power harvest-ing medium in order to allow the device to be designed tofunction optimally in its intended environment.

Umeda et al. (1996) carried out an investigation concern-ing the fundamentals of a generator, which transformed me-chanical energy to electrical energy using a piezoelectric vi-brator and a steel ball. They also investigated the effect ofthe various characteristics of the piezoelectric vibrator. Tosimulate the generation mechanism, they introduced an elec-trical equivalent model. The fundamental modes of bending

direct piezoelectric effect: D e T S S E +=

converse piezoelectric effect: T cE S e E =

Sodano et al. / A REVIEW OF POWER HARVESTING 199

vibration for two models were calculated: model A (the trans-ducer with the steel ball) and model B (the transducer only).The admittance characteristics of each model were measuredand they found that it was clear that the peak frequenciescorresponded to the vibration modes. It was seen that thecalculated waveforms of the output voltage were similar tothe measured ones; therefore, the model provided an accuratesimulation of the output voltage. An efficiency curve wasdrawn for various input mechanical energies, and they de-termined that as the potential energy of the ball increasedthe maximum efficiency decreased. A large part of the ap-plied energy was returned to the steel ball in the form of ki-netic energy causing it to bounce off the plate. It was con-cluded that the energy generated would be large if the steelball did not bounce off after an impact but rather vibratedwith the piezoelectric plate. This case was simulated and itwas determined that a maximum efficiency of 52% could beobtained. The effects of the characteristics of the piezoelec-tric vibrator were investigated and it was determined that theefficiency increased if the mechanical quality factor increased,the electromechanical coupling coefficient increased and thedielectric loss decreased.

Goldfarb and Jones (1999) have analyzed the efficiency ofthe piezoelectric material in a stack configuration for the pur-pose of electric energy generation. An analytical model ispresented and suggests that the fundamental problem in gen-erating electrical power from the piezoelectric material isthat it stores the majority of the energy produced and returnsit to the excitation source that initially caused the charge tobe generated. They state that this occurrence is particularlyproblematic when the piezoceramic is placed in parallel witha capacitor that is in series with the load. Therefore, it is sug-gested that the maximum efficiency of power generation canbe achieved by minimizing the amount of energy stored in-side the piezoelectric material. The efficiency of the modelwas determined across a spectrum of frequencies and resis-tive values. It was found that, at frequencies above 100 Hz,the efficiency of the stack actuator was negligible and that thehighest efficiency was obtained at 5 Hz. This frequency is farlower than the first mechanical and electromechanical reso-nances of the stack, which occur at approximately 40 and 60kHz, respectively. The authors state that the frequency ofmaximum efficiency occurs so low because of the energeticstructure of the stack. In addition, it is found that the efficien-cy of the stack is most strongly dependent on the frequencyof excitation, with the load resistance providing a lower ef-fect on it.

5. Power Storage and Circuitry

When using piezoelectric materials as a means of gather-ing energy from the surroundings, in most cases it is a ne-cessity that a means of storing the energy generated be used.Without accumulating a significant amount of energy, thepower harvesting system will not be a feasible power sourcefor most electronics. The following research has made use ofcircuitry to either store the energy generated by the piezoelec-tric material or to develop circuits that allow the energy to beremoved from the piezoelectric in a more efficient way al-lowing more power to be generated.

Umeda et al. (1997) continued their investigation with astudy into the characteristics of energy storage by a piezo-

generator with a bridge rectifier and capacitor. As in theirprevious research, the piezo-generator consisted of a steel balland a piezoelectric vibrator, and with the introduction of abridge rectifier and capacitor they were able to determine theenergy storage characteristics both theoretically and experi-mentally. To simulate the generation and storage mechanismthey employed an equivalent circuit model, where the inputmechanical energy was translated into an initial electrical en-ergy. Changing the parameters of the circuit simulated the sep-aration of the vibrator and the ball. After examining the stor-age characteristics for the first impact they determined thatas the capacitance increased the electrical charge increaseddue to an increased duration of oscillation. They also deter-mined that for each value of capacitance as the initial volt-age increased the stored electric charge decreased, and theefficiency increased. When considering the overall storagecharacteristics for multiple impacts they determined that, foreach value of capacitance, the first impact gave the largestelectric charge. The overall storage characteristics were ob-served when the initial voltage was changed; as the initialvoltage increased, the electric charge decreased for each val-ue of capacitance, while the efficiency increased. Their proto-type achieved a maximum efficiency of 35%, over three timesthat of a solar cell.

Elvin et al. (2001) used a polyvinylidene fluoride (PVDF)piezofilm sensor attached to a simply-supported Plexiglasbeam with an aspect ratio of 0.11 to generate an electrical sig-nal. The goal of this power harvesting experiment was to gen-erate sufficient energy from the strain induced on the piezo-film by the bending beam to power a telemetry circuit. Theenergy generated from the PVDF patch was accumulated ina capacitor. A switch was added to the circuitry to allow thecapacitor to charge to a predetermined value of 1.1 V, atwhich point the switch would open and the capacitor woulddischarge through the transmitter. Once the capacitor haddischarged to a value of 0.8 V, the switch would close andthe capacitor would be allowed to recharge and repeat theprocess. The operation of the power harvesting system wasfound to provide the required energy to power the circuitryand transmit a signal containing information regarding thestrain of the beam a distance of 2 m.

Kasyap et al. (2002) developed a lumped element model(LEM) using an equivalent circuit model to describe the pow-er generated from the forced vibration of a cantilever beamwith a piezoelectric element attached. It was found that theLEM provided results consistent with those generated usinga finite element model from excitation frequencies rangingfrom DC through the first resonance of the beam. A similarresult was found during a second model validation using ex-perimental results. The goal of the study was to use a flybackconverter to increase the efficiency of the power transfer fromthe piezoelectric patch to a power storage medium. The useof a flyback converter allows the circuit impedance to bematched with the impedance of the piezoelectric device. Itwas found that when using the flyback converter a peak pow-er efficiency of 20% was achieved.

The previous papers in this section concentrated their ef-forts on the use of a capacitor as the storage medium. How-ever, in most cases the capacitor is not an efficient method ofstoring energy. Sodano et al. (2002) performed a study to in-vestigate the amount of power generated through the vibra-tion of a piezoelectric plate, as well as two methods of power

200 The Shock and Vibration Digest / May 2004

storage. The plate was excited using an electromagnetic shak-er with both resonant and random excitation signals. It wasfound that the piezoelectric could generate a maximum powerof 2 mW when excited at the resonant frequency of theclamped-free plate. In addition, the ability of the piezoelec-tric plate to store its power in both a capacitor circuit and arechargeable battery was tested. This paper was the first todemonstrate that the power output of piezoelectric materialwas able to recharge a fully discharged battery without theuse of external energy sources. It was also shown that bothmethods of power storage could be used; however, the useof rechargeable batteries was found to possess power storagequalities that would allow a far larger range of electronic de-vices to be powered than the capacitor. This is because of thecapacitors poor ability to store large amounts of power andits fast discharge rate, which caused the output of the circuitto switch on and off making a periodic power supply.

Following the work of Sodano et al. (2002), a second pa-per was published (Sodano et al., 2003) to further investi-gate the ability of piezoelectric materials to recharge batter-ies. This study compared the macro-fiber composite (MFC)actuator with the monolithic piezoceramic material PZT forrecharging batteries. The MFC is an actuator that uses pie-zofibers and interdigitated electrodes to capitalize on the high-er g33 piezoelectric coupling coefficient, allowing it to pro-duce higher strain and force than typical monolithic PZT(Sodano et al., 2004a). This property of the actuator makesit attractive for power harvesting applications. First, the effi-ciency of both the MFC and PZT was determined in order tocompare their ability to generate electrical energy. It was de-termined that the MFC was less effective for power harvest-ing than the PZT because of a very low current generation bythe MFC. Reasons for the low current generation were pro-posed. Furthermore, because of the poor current output of theMFC it was found to be ineffective at charging the batteriesdue to their requirement for fairly significant current. How-ever, the PZT was used to charge a variety of different ca-pacity nickel metal hydride batteries; a typical charge cycleof one battery is shown in Figure 1. The charge time for eachwas supplied and the maximum capacity battery capable ofefficiently being charged was determined.

Another investigation into the ability to store and use theenergy generated from a power harvesting device was per-formed by Amirtharajah and Chandrakasan (1998). They de-signed and tested a chip which integrated a finite impulse re-sponse (FIR) filter, power field-effect transistors (FETs) andpulse width modulation (PWM) control circuitry, in order todemonstrate the possibility of running a digital system fromthe power generated by vibrations in its environment. Theyproposed a self-powered system consisting of a load circuit,a generator to create voltage that could vary depending onthe environment, a voltage regulator to set the voltage to adesired level, and a backup power source. The implementa-tion of a backup power source was required at circuit startupbecause of the need for the voltage regulator to obtain itspower from a source other than the generator, whose outputwas too uncontrolled to be utilized. An inertial electrome-chanical generator and acoustic generator were proposed asthe power supply and a prototype of each was built to test itsability to power the digital circuitry. It was found that theelectromagnetic generator was capable of supplying 400 Wof power during a typical excitation that was intended to

represent that of a human walking. The electromagnetic pro-totype was tested and it was shown that the portable digitalsystem could be powered entirely from ambient environmen-tal vibrations for a period of 23 ms. A second investigationinto the use of incident sound as a form of excitation energywas also tested and it was found that it could generate powersufficient to run the system; however, the acoustic energysource was limited to very high noise environments (about114 dB).

Rather than developing methods of accumulating the en-ergy developed by piezoelectric materials, Ottman et al.(2002) worked to develop a circuit that would maximize thepower flow from the piezoelectric device. A DCDC step-down converter was implemented in coordination with a waverectifier, capacitor, and electrochemical battery. In additionto the circuitry, an adaptive control technique was developedto continuously implement optimal power transfer theory andto maximize the power flow into the battery. This active con-troller varied the switching frequency of the step-down con-verter to maximize to the power flow from the piezoelectricelements and to raise the current to levels more acceptablefor maintaining the charge on batteries. The circuit and con-troller were built and tested on a bimorph piezoelectric can-tilever plate excited at resonance. It was found that when us-ing the circuit, over four times the energy was transferred tothe battery than with direct charging alone. However, if thepower harvesting medium produced less than 10 V, then pow-er flow into the battery was reduced because of losses in theadditional circuit components.

Hofmann et al. (2002) have continued the work of Ottmanet al. (2002) by implementing circuitry to maximize the pow-er flow from the piezoelectric device. This study uses a sim-ilar circuit as before, but realizes that one of the drawbacks oftheir previous work was that the PWM control circuitry re-quired more power than was produced at low levels of exci-tation. In order to correct this problem, the authors realizedthat the optimal duty cycle changes very little at higher lev-els of energy generation when excited with a sinusoidal sig-

Figure 1. Typical charge cycle of a nickel metal hydride bat-tery; in this case an 80 mAh battery was charged (Sodano etal., 2003)

Sodano et al. / A REVIEW OF POWER HARVESTING 201

nal. Therefore, the control circuitry was removed and a con-stant duty cycle was used. Furthermore, at low levels of powergeneration the optimal duty cycle varies greatly, causing thePWM generation circuitry to be ineffective; thus, this circuit-ry is bypassed at a certain threshold and a pulse-charging cir-cuit is used. The optimal value of the duty cycle was investi-gated both analytically and experimentally, resulting in avalue of 2.8%. With this circuit, the power flow was increasedby over a factor of 3 at a peak resonant excitation level of 70V open circuit. Additionally, their circuitry was found to reachvalues as high as 70% efficiency at an optimal value of exci-tation.

Lesieutre et al. (2002) discuss two topics: the first is anenergy harvesting circuit and the second a measure of thedamping induced in a structure due to energy harvesting,which will be discussed in a section 7. The goal of the firstportion of this research was to further improve upon a cir-cuit that would maximize the energy output of the piezoe-lectric material through the use of a DCDC step-down con-verter. The energy harvesting circuit was developed toimprove on two previously constructed circuits in Ottman etal. (2002) and Hoffman et al. (2002). The first circuit used acontroller to modify the PWM of a DCDC step-down con-verter, which consumed a significant amount of power. Ad-ditionally, their circuit used the controller at all times, whichmeans that when the piezoelectric produces a very smallamount of energy the controller would be drawing more en-ergy than available. To correct this problem, a second circuitwas developed using a constant near-optimal duty cycle andthe control circuitry was removed. However, the circuit wasstill inefficient when less than 25 V open circuit was gener-ated. Therefore, to further correct this issue the pulse-charg-ing circuitry that turned on below 25 V open circuit was doneaway with and only direct charging was used in this range.This circuit was found to provide a 324% increase in powerwhen excited at a level sufficient to produce 68 V open cir-cuit and it alleviated many of the shortcomings of the previ-ously used circuits.

6. Implantable and Wearable Power Supplies

In an effort to incorporate computers and digital systemsinto our everyday lives, research has been carried out to in-vestigate the possibility and practicality of imbedding theminto our clothing, or inside biological systems such as the hu-man body. The use of power harvesting devices to capture theenergy lost during everyday human life is a captivating ideaand has been one of the main topics facilitating the rapidgrowth of the power harvesting field. The following researchpresented here has investigated numerous ideas of obtainingenergy from both human and animal activity.

Possibly the first investigation of power scavenging sys-tems incorporated into a biological environment was per-formed in 1984 by Hausler and Stein, who published a paperproposing the use of an implantable physiological powersupply using PVDF films (Hausler and Stein, 1984). Basedon the concept that the energy expended for respiration couldbe converted into electric power, Hausler and Stein used therelative motion of the ribs to periodically stretch a converter.A miniaturized prototype was designed and used to conductan animal experiment. The converter was fixed to the ribs ofa mongrel dog and spontaneous breathing led to a peak volt-

age of 18 V, which corresponded to a power of about 17 W.However, the power generated was insufficient to power thedesired electronics, making it ineffective for use as an im-planted power supply. It is speculated that optimization ofthe PVDF film properties, as well as a more suitable convert-er attachment at the ribs would make it possible to developpower converters with an output of 1 mW, yielding a mechan-ical power load of 20 mW. In addition, this study was per-formed at an early stage in low-power electronic and com-puter technology, suggesting that the use of more efficientelectronics, now available, would have resulted in significant-ly more promising results.

Throughout our daily activity, a significant amount of en-ergy is expended in various forms, some of which make forattractive power harvesting locations. Starner (1996) has per-formed an investigation into the amount of power expendedfor a vast range of human activities. His paper explores thepossibility of eliminating bulky and inconvenient power sys-tems by harnessing the energy expended in everyday activi-ty and using it to generate power for a computer. The papercontains a survey of various power generation methods rang-ing from body heat and breath to finger and upper limb mo-tion. An analysis of the power available from each of thedifferent locations is presented. He calculates that approxi-mately 67 W of power is lost during walking and that a pie-zoelectric device mounted inside a shoe with a conversion ef-ficiency of 12.5% could achieve 8.4 W of power. Two methodsof power generation during walking are identified, piezoe-lectric and rotary generator, with the advantages and weak-nesses of each outlined. One idea he explains is to place pie-zofilm patches in the joints of clothing to harvest the energylost during bending and he states that about 0.33 W could beobtained. In addition to investigating the possible location andpower converters to be used, he realizes that the energy gen-erated will never be constant and, at times, energy may notbe produced at all, making the use of a power storage medi-um a must. Power would be accumulated when the energy isplentiful and would be used when insufficient energy is pro-duced. The paper investigates two methods of power storage:the capacitor and rechargeable batteries. He states that ener-gy storage in a capacitor would be sufficient for low-powerareas such as blood pressure and body heat, but rechargeablebatteries are a necessity for higher power areas, such as limbmotion and walking.

The work of Starner (1996) brought the possibility ofpower harvesting locations around the human body to the at-tention of many researchers and the work in wearable powersupplies began to grow. Post and Orth (1997) investigatedthe concept of smart fabric for wearable clothing. Their re-search described techniques used in building circuits fromcommercially available fabrics, fasteners, etc. Multiple dif-ferent conductive fabrics were explored, including silk or-ganza, constructed of silk thread wrapped in thin copper foilrunning in one direction and plain silk in the other. This ma-terial was highly conductive, had a high tensile strength, andcould withstand high temperatures, allowing it to be sewnusing industrial machines. A second type of conductive yarnis manufactured with both conductive and cloth fiber inter-spersed throughout the material. Post and Orth (1997) statethat by varying the amount of conductive material the resist-ance of the fiber can be adjusted and other components, suchas capacitors and coils, can be sewn directly into the fabric.

202 The Shock and Vibration Digest / May 2004

The use of this type of material has led to the development ofseveral devices constructed of fabric, including a type of fab-ric keyboard that can be crumpled up, thrown in the washand even used as a potholder without losing its ability to func-tion. These materials would be very effective for transmit-ting the energy generated around the body to the storage me-dium in a convenient and unnoticeable way.

Kymissis et al. (1998) studied the use of piezoelectric ac-tuators located inside the sole of a shoe for power harvest-ing. Their research examined three different devices that couldbe built into a shoe to harvest excess energy and generate elec-trical power parasitically while walking. The devices thatwere considered included a Thunder actuator constructedof piezoceramic composite material located in the heel, a ro-tary magnetic generator also located under the heel, and amultilayer PVDF foil laminate patch located in the sole of theshoe. The Thunder actuator was developed by the NationalAeronautics and Space Administration (NASA) and has arainbow (arch) configuration that allows the high impact ver-tical energy of the heel to be translated into bending strainfor electrical power generation. The electromagnetic gener-ator used the pressure of the heel to spin a flywheel and ro-tary generator, to extract the power from the pressure of theheel during walking. The last device used was the laminateof piezofilm, or stave, which was used to harness the ener-gy lost during the bending of the sole. In order to comparethe performance of the three methods, a working prototypewas constructed for each and its performance was measured.The peak powers were observed to approach 20 mW for thePVDF stave and 80 mW for the PZT unimorph. However,because of slow excitation, the average power generated fromboth the PVDF stave and the Thunder actuator was signifi-cantly lower, approximately 1 and 2 mW, respectively. Theshoe mounted rotary generator resulted in a peak power ofabout 1 W and averaged to about 0.25 W over a 5 s sampleperiod. However, the rotary generator was not easily inte-grated into the shoe and significantly interfered with the us-ers gait, unlike the PVDF stave and PZT Thunder actuator.Because of these two limitations of the rotary generator, itwas determined that it was an unrealistic method of generat-ing energy during walking. After examining the perform-ance of the piezoelectric generators, their ability to power abattery-less active radio-frequency (RF) tag was tested. Theauthors developed a circuit that used a capacitor to accumu-late the electrical energy along with various other compo-nents to regulate the charging and discharging cycle of thecapacitor. The discharge of the capacitor was limited at 5 Vto accommodate an encoder and transmitter used to transmitthe RF tag. The circuit was found to be compatible with boththe shoe mounted piezoelectric generator systems and wasable to transmit five to six 12-bit signals every few steps.The circuitry developed in this study has also found use inthe work of several other researchers. The research present-ed in this paper demonstrated the potential of piezoelectricpower harvesting devices for use as a power supply of self-powered electronics. Further, the ability to use energy frompower harvesting for transmitting data was shown and gainedthe attention of many researchers in the area of self-poweredwireless sensors.

Similar to the work of Kymissis et al. (1998), Shenck (1999)demonstrated electrical energy generation from piezoelec-tric patches located in a shoe. He evaluated different regula-

tion systems for conditioning the electrical energy harnessedby the piezoceramic source imbedded in the sole of a shoe.A rigid bimorph piezoceramic transducer was developedand integrated into a mass produced shoe insert. The use ofa bimorph piezoelectric device posed several advantages overthe previously used actuator. Since the vertical displacementof the transducer was required to be very small, so the use ofa second piezoelectric patch allowed more energy to be gen-erated. Additionally, with two piezoelectric patches presentthe electrical leads could be configured as parallel energysources, improving the lumped impedance characteristics ofthe sources. Furthermore, it was determined that a bimorphtransducer was stronger and less intrusive to the user, be-cause it was capable of better adapting to various distributionsof body weight and footfall velocity. The piezoelectric patchwas configured similarly to the Thunder actuator previouslymentioned, allowing it to absorb the energy of a heel strikeand lift during walking, thus inducing a charge across thecapacitive PZT. The energy stored was removed at its peakand converted into a useful form using a high-frequencyswitching technique.

A design study was conducted by Ramsey and Clark(2001), which investigated the feasibility of using a piezoe-lectric transducer as a power supply for an in vivo MEMSapplication. The 33- and 31- modes of operation for a piezo-electric generator were analyzed and compared, and it wasdetermined that when using the 31- mode, or thin plate con-figuration, there existed a strong mechanical advantage in con-verting applied pressure to working stress. For very low-pres-sure sources, the 31- mode had a greater advantage in energyconversion, which became important when attempting to im-plement this technology in a biological microsystem appli-cation. A design study was used to investigate whether or notthe 31- mode was well suited for the in vivo environment,and it was carried out using a square thin plate driven by bloodpressure. It was shown that ample power existed from varioussources in the body to meet the requirements of their investi-gation, and additional calculations illustrated the feasibility ofproviding intermittent power instead of continuous power.

7. Damping Effect of Power Harvesting

When a power harvesting system is integrated into a struc-ture, energy is removed in the form of electricity. Becauseenergy is removed from the structure, it must see some ef-fect on its dynamics. The subsequent papers have looked toquantify this damping effect.

Lesieutre et al. (2002) investigated the damping added toa structure due to the removal of electrical energy from thesystem during power harvesting. The damping was first esti-mated using analytical methods and later verified through ex-perimental results. It is stated that optimal power transfer isachieved when the operating rectifier output voltage is halfthe open circuit voltage; this assumption allows the effectiveloss factor of the system to be dependent only on the couplingcoefficient. Using this simplification the study analyticallypredicted the damping loss factor from power harvesting tobe 2.3% in the fundamental mode of vibration of a cantilev-er beam. The prediction was then verified to be 2.2% throughexperimental results, showing excellent agreement betweentheory and their experimental work. This result was found

Sodano et al. / A REVIEW OF POWER HARVESTING 203

to be comparable to that of resistive shunting while not hav-ing the frequency dependency that shunting does.

Sodano et al. (2004b) presented a paper that developed amodel of a power harvesting system. The model was derivedfrom variational principles and was used to predict the amountof electrical energy that could be generated through the vi-bration of piezoelectric patches on a beam structure. To val-idate the accuracy of the model, a composite beam with acomplex layout of four piezoelectric patches was experimen-tally tested and compared to the results of the simulation. Itwas shown that the model provided a very accurate estimateof the power generated independent of the excitation frequen-cy and load resistance. Following the validation of the mod-el, it was used to show the effects of power harvesting on thedamping of a structure that has energy being generated fromit. The impulse response of a cantilever beam was shown fora power harvesting system that had three different load re-sistances; the effect of power harvesting on each of these

three cases is shown in Figures 2, 3 and 4. It was shown thatfor a small load resistance, the damping did not become muchlarger than the mechanical damping of the structure, becauseonly a slight amount of energy was being removed from thesystem. As the resistance increases, more energy is removedfrom the system and the damping increases, as shown in Fig-ure 3. At the optimal load resistance the maximum energy isremoved from the system and the damping becomes far largerthan that of the structure. As the load resistance moves pastthe optimal value the damping begins to decrease again, asshown in Figure 4. The damping begins to decrease at higherload resistances because as the load increases in impedancethe circuit begins to look like an open circuit, thus interfer-ing with the ability of the generated electricity to efficientlyflow out of the piezoelectric material. This simulation showedthat power harvesting works very much like a shunt damp-ing system with the major difference being that the energy isstored rather than dissipated.

8. Future of Power Harvesting

The idea of carrying electronic devices such as a portableradio and never worrying about when the batteries will needto be replaced could be far closer than one would think. Thisthought has caused the desire for self-powered electronics togrow quickly, leaving only one limitation before these devic-es can become a reality. The one issue that still needs to beresolved is a method to generate sufficient energy to powerthe necessary electronics. However, with the advances in pow-er harvesting that have been outlined in this paper the abilityto obtain and accumulate the necessary amount of energy topower such devices is clearly possible.

The major limitations facing researchers in the field of pow-er harvesting revolve around the fact that the power generat-ed by piezoelectric materials is far too small to power mostelectronics. Therefore, methods of increasing the amount ofenergy generated by the power harvesting device or devel-oping new and innovative methods of accumulating the en-ergy are the key technologies that will allow power harvest-

Figure 2. Impulse response with a 100 resistive load(Sodano et al., 2004a)

Figure 3. Impulse response with a 15 k resistive load(Sodano et al., 2004a)

Figure 4. Impulse response with a 100 k resistive load(Sodano et al., 2004a)

204 The Shock and Vibration Digest / May 2004

ing to become a source of power for portable electronics andwireless sensors. One recent advance that shows great prom-ise for power harvesting is the use of rechargeable batteriesas a means of accumulating the energy generated during pow-er harvesting. Much of the early research into power har-vesting looked to the capacitor as a method of storing ener-gy and powering electronics. However, the capacitor has poorpower storage characteristics because of its quick dischargetime, causing the electrical output of such circuitry to switchon and off as the capacitor charges and discharges. This as-pect of the capacitor is not suitable for powering computa-tional electronics. However, the rechargeable battery can becharged and then used to run any number of electronic de-vices for an extended period of time while being continuouslycharged by ambient motion. Innovations in power storagesuch as the use of rechargeable batteries with piezoelectricmaterials must be discovered before power harvesting tech-nology will see widespread use.

Furthermore, the efficiency of the power harvesting cir-cuitry must be maximized to allow the full amount of ener-gy generated to be transferred to the storage medium. Thecontinuous advances that are being made in low-power elec-tronics must be studied and utilized both to optimize powerflow from the piezoelectric and to minimize circuit losses.Gains in this area are a necessity for the successful use ofpiezoelectric materials as power harvesting devices. Addi-tionally, the intended location of the power harvesting sys-tem must be identified so that its placement can be optimizedand the excitation range realized to allow for tuning of thepower harvesting device. By tuning the power harvesting me-dium with the structure, the excitation can be made to maxi-mize the strain of the piezoelectric material using the con-cept of resonance.

Finally, practical applications for power harvesting sys-tems such as wireless sensors and self-powered damage de-tection units must be clearly identified to encourage growthin this area of research, thus allowing the contributions andin flow of ideas to increase. With the advances in wirelesstechnology and low-power electronics, power harvesting isthe missing link for completely self-powered systems.

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