# Patent

## Title
Energy harvester utilizing external magnetic field

## Abstract

Apparatus and method for harvesting energy from the environment and/or other external sources and converting it to useful electrical energy. The harvester does not contain a permanent magnet or other local field source but instead relies on the earth's magnetic field of another source of a magnetic field that is external to the sensing device. One advantage of these new harvesters is that they can be made smaller and lighter than energy harvesters that contain a magnet and/or an inertial mass.

## Background
RELATED APPLICATIONS
This application claims the benefit of priority to U.S. Provisional Application No. 60/758,042 filed Jan. 11, 2006 entitled “Novel Energy Harvester Without Moving Parts” by J. Huang et al., U.S. Provisional Application No. 60/790,921 filed Apr. 11, 2006 entitled “Wireless Transfer of Electrical Power From Outside a Body to Inside a Body” by J. Huang et al., and U.S. Ser. No. 10/730,355 filed 8 Dec. 2003 entitled “High Sensitivity, Passive Magnetic Field Sensor and Method of Manufacture” by J. Huang et al., which claims priority to U.S. Provisional Application No. 60/431,487 filed 9 Dec. 2002, the disclosures of which are hereby incorporated by reference in their entirety.


FIELD OF THE INVENTION
This invention relates to apparatus and methods for harvesting energy from the environment and other sources external to the harvester and converting it to useful electrical energy.
BACKGROUND OF THE INVENTION
Energy harvesters are known that convert vibrational energy into electrical energy. The electrical energy produced can then be stored or used by other devices. For example, the vibrations of an air conditioning duct can be converted into electrical energy by an energy harvester and the electrical energy then used to power a sensor that measures the air temperature in the duct. The sensor does not require electrical wiring to a remote source of power or periodic battery changes.
There are a variety of such devices for generating electrical power from vibrations, oscillations or other mechanical motions. Generally such devices are categorized as inductive, capacitive, and/or piezoelectric devices. While each of the known types of vibrational energy harvesters have different advantages, they also have drawbacks such as: the need for heavy, powerful permanent magnets (in the case of inductive energy harvesters) to produce a sufficiently large flux density; an auxiliary source of power, such as a battery (in the case of capacitive harvesters); the need for large vibration frequencies and/or a heavy inertial mass to generate sufficient vibrational energy for harvesting (for all types of vibration energy harvesters); undesirable levels of damping and noise generation from interaction between the locally generated magnetic field and nearby metallic parts (for inductive harvesters); and other disadvantages such as size or weight that make them unsuitable for use in a remote or generally inaccessible location.
As shown in FIG. 1, a typical magnetic device 2 to harvest vibrational energy consists of a permanent magnet 3 (an internal local field source) attached to a housing 7 and connected by a spring 4 to a passive magnetic field sensor 5 (e.g., an induction coil or a passive magnetostrictive/electroactive field sensor). External vibrations cause a relative motion of the magnet 3 and sensor 5, producing an electrical voltage across a load 8 and a current through the load. In addition to requiring a local magnetic field source (e.g., a permanent magnet disposed adjacent to the field sensor), these devices also typically include an inertial mass 6 (also known as a proof mass) to increase the vibrational energy generated. The inertial mass may be rigidly attached to the sensor (as shown), may be the same or separate from the permanent magnet, or may comprise part of the sensor itself. As a further alternative, the magnet may comprise part of the moving proof mass, as opposed to being fixed to the housing. In each case, the inertial mass and the permanent magnet increase the size and weight of the device.
It would be desirable to provide a magnetic energy harvester that does not require a local magnetic field source as part of the device itself. It would also be beneficial to provide a magnetic energy harvester that does not require a source of vibrational or other mechanical motion.
SUMMARY OF THE INVENTION
In accordance with various embodiments of the present invention, an apparatus is provided for harvesting energy from the environment or other remote sources and converting it to useful electrical energy. The harvester does not contain a permanent magnet or other local field source but instead relies on the earth's magnetic field or another source of a magnetic field that is external to the sensing device. One advantage of these new harvesters is that they can be made smaller and lighter than energy harvesters that contain a magnet. Another advantage is that they do not require vibrational energy to function.
According to various embodiments of the invention disclosed herein, the harvester differs from those of the prior art by the absence of a permanent magnet or other local (internal) field source. In these new devices, a change in the state of magnetization of the sensing element may be achieved in one (or both) of two general ways:

    
    
        1. The magnetic flux density in the sensing element may be altered by changes in the orientation of the sensor (movement of the sensor) with respect to a static (non-changing) external field. For example, the magnetization vector M of the sensing element may rotate due to changes in the orientation of the sensing element with respect to the earth's field. Such movement of the sensing element may be achieved by attaching the sensing element to a piece of rotating machinery or a rotating part on a vehicle. Alternatively, the sensing element may be suspended on its axis and allowed to rotate (due to external vibrations), the rotation causing a change in its orientation in the earth's field.
        2. Alternatively, the sensing element may remain stationary and be operated on by a remote changing magnetic field from any of a variety of sources. The remote changing magnetic field can be produced by an electrical transformer, motor, electronic device, moving machinery or inductive wire or coil which is relatively remote (acting at a distance or through a non-magnetic barrier) on the sensing element. The changing (e.g., alternating) magnetic field source can be designed to couple with a remote sensing element efficiently in terms of frequency, distance, field orientation and magnitude to deliver power remotely to the sensing element.
    
    


When operating from the earth's magnetic field, the power harvested may be less than that achieved with a prior art vibrational energy harvester having a built-in magnetic field. The power harvested from a remote field source will be measured in microwatts per centimeter cubed (μW/cm3), as opposed to milliwatts per centimeter cubed (mW/cm3) for energy harvesters that include a strong magnet. However, for certain applications the power delivered by such a small, lightweight and simple energy harvester will be sufficient and enable new applications.
When operating near some man-made external sources of alternating magnetic fields, or when such an external field source is brought near to the energy harvester, the power harvested can be considerably greater because the strength of such fields is often considerably greater than the earth's magnetic field (Hearth is approximately 0.3 Oe or 3 micro-Tesla).
A preferred sensing element for use in the present invention is based on a class of passive magnetostrictive electroactive (PME) magnetic field sensors that produce a voltage when exposed to a changing magnetic field. The sensing element is preferably a layered structure (e.g., sandwich) of magnetostrictive material bonded to an electroactive material, the latter being poled in a direction preferably parallel to the plane of the magnetostrictive layer(s). An external magnetic field causes a magnetization change in the magnetostrictive layer(s), which respond(s) with a magnetoelastic stress. Part of the stress is transferred to the electroactive layer that responds by producing a voltage given by Vi=gijσjLi. Here, Li is the distance between the electrodes across which the voltage Vi is measured, σj is the stress transferred to the electroactive component, and gij is the stress-voltage coupling coefficient. The voltage is greatest when the direction i=j. However, in different applications the principal stress and induced voltage may lie in orthogonal directions (e.g., 1-3 operation), or the principal stress and voltage may act along different axes (e.g., 1-5 operation).
The energy harvester of the present invention is more than a simple passive magnetostrictive/electroactive (PME) field sensor. A simple PME field sensor is comprised of materials and dimensions designed preferably to produce a large voltage across a high impedance circuit, the voltage being indicative of the field of interest. The electronic circuit for a simple PME sensor is designed to register a field value. In contrast, the PME energy harvester of the present invention is comprised of materials and dimensions designed preferably to produce a voltage and current that match the impedance of the load to be driven. The PME energy harvester is coupled to an electronic circuit that converts the PME output to power for immediate use or storage. The PME element is preferably optimized to respond to the field strength of the intended environment, which would generally be much greater than that of a pure field sensor.
This new type of energy harvester can be simpler, lighter and/or more compact than those requiring a permanent magnet as a field source, and also those requiring an inertial mass for enhancing vibrational energy. For example, suitable applications may include wireless monitoring applications, wherein wireless monitoring is meant to include self powered sensing of local conditions and processing of the sensor output and self powered wireless communication to a central data processing point. Other suitable applications might include wireless transfer of electrical power over a small distance to a location inaccessible via electrical leads or not convenient for battery replacement. More specifically, these applications may include supplying power for:

    
    
        wireless health monitoring or condition based maintenance;
        supplementing power or recharging batteries without physically accessing them;
        elimination of wiring of electrical devices remote from a power source;
        wireless monitoring of temperature, airflow, humidity and gas content in heating, ventilation and air conditioning (HVAC) systems;
        wireless monitoring of traffic flow, turbulence, noise or personnel movement;
        wireless, self powered security systems;
        powering of mobile electronic instruments;
        passive detection of creep or crack propagation in structures for condition based maintenance; and
        powering of devices implanted in a living body (or to another inaccessible location) for purposes of sensing, transmitting, or actuating (e.g., motors, pumps, switches, valves, electrodes), as well as for accomplishing therapy or other functions that require a voltage and/or current.
    
    


Furthermore, applications of the new energy harvester are not limited to vibration rich environments. A simple repetitive motion or rotation of the more sensitive PME devices as described herein allows them to operate from the earth's magnetic field. They can be placed in physically inaccessible locations and activated from a remote field source that is either present in the environment or placed there for the purpose of energizing the device.
In one embodiment of the invention: an energy harvester without a local field source comprises:
a magnetic field sensing element including one or more layers of magnetostrictive material having a magnetization vector that responds to variations in an applied magnetic field by generating a stress, and one or more layers of electroactive material, mechanically bonded to the layer of magnetostrictive material, that responds to the stress by generating a voltage; and
a circuit coupled to the sensing element that converts the voltage to electrical power for immediate use or storage, wherein the sensing element either:

    
    
        a) moves relative to a remote static external magnetic field, such that changes in orientation of the sensing element with respect to the external field generates the voltage; or
        b) is stationary with respect to a remote changing external magnetic field, wherein the changing external field causes the sensing element to generate the voltage.
    
    


In various embodiments:
the electrical power comprises a voltage and current suitable for an intended application;
the magnetostrictive material layer has a magnetization vector that responds to variations in the magnetic field by rotating in a plane and wherein the electroactive material is poled in a direction substantially parallel to the plane in which the magnetization vector rotates;
the sensing element is mounted to an object that moves relative to the applied magnetic field;
the variations in the applied external field are in one or more of magnitude and direction of the field;
the sensing element is mounted such that local vibration changes its orientation with respect to the applied magnetic field;
the sensing element includes electrodes for measuring the voltage generated and wherein the electrodes are configured such that the distance between the electrodes and cross sectional area between the electrodes are tailored to produce a desired electrical power;
the magnetization vector rotates relative to the electrode axis due to changes in the orientation of the sensor in the applied external field;
local vibrations also change the orientation of the sensor with respect to the applied external field;
the remote magnetic field is generated by one or more of an electrical transformer, motor, actuator, switch, electronic device, moving machinery or inductor;
the inductor is a wire or coil through which an alternating current is flowing, to produce the remote changing external magnetic field;
the sensing element is rigidly attached to an inertial mass;
the sensing element includes an inertial mass;
the changing external field or sensing element movement is at vibration or power transmission frequencies of no greater than 1 kHz;
the changing external field is at a resonance frequency in the range of that of the sensing element;
the changing external field is in a range of 20 to 50 kHz;
the external field frequency is equal to or close to the resonance frequency of the sensor, which varies roughly according to the equation




  fr
  ≈
  
    
      1
      
        2
        ⁢
        L
      
    
    ⁢
    
      
        
          E
          eff
        
        
          ρ
          eff
        
      
    
  




where L is a characteristic length of the sensor and Eeff and ρeff are the elastic modulus and mass density appropriate to describe the composite magnetostrictive/electroactive sensor properties;

the changing external field and sensing element are within a resonant frequency range;
the circuit is within the resonant frequency range;
the external changing field is outside a human or other animal body and the sensing element is inside the body.
In another embodiment of the invention, a method of harvesting energy comprises:
providing a magnetic field sensing element including one or more layers of magnetostrictive material having a magnetization vector that responds to variations in an applied magnetic field by generating a stress, and one or more layers of an electroactive material, mechanically bonded to the layer of magnetostrictive material, that responds to the stress by generating a voltage;
wherein the voltage is generated by either:
moving the sensing element relative to a remote static external magnetic field, such that changes in orientation in the sensing element with respect to the external field generates the voltage; or
the sensing element is stationary with respect to a remote changing external magnetic field, and the changing external field causes the sensing element to generate the voltage; and
converting the generated voltage to electrical power for immediate use or storage.
These and other advantages of the present invention may be better understood by referring to the following detailed description and accompanying drawings.



BRIEF DESCRIPTION OF THE DRAWINGS
FIG. 1 is a block schematic diagram of a prior art energy harvester device having a permanent magnet and inertial mass;
FIG. 2 is a schematic diagram of an energy harvester according to one embodiment of the invention, in which the harvester is attached to a moving part and is actuated by its motion in the earth's magnetic field;
FIG. 3 is a schematic diagram of another embodiment of the energy harvester of the invention, in which a stationary harvester is actuated by a changing external field (Hearth-modified), the external field being that of the earth's field changed in magnitude or direction by a moving object in its path;
FIG. 4 is a schematic diagram of another embodiment of the invention in which a stationary harvester device is activated by a remote external changing magnetic field Hext, where Hext is due to a permanent magnet affixed to a moving part exterior to the harvester;
FIG. 5 is a schematic diagram of one construction of a sensing element useful in the present invention;
FIG. 6 is a schematic diagram of a circuit for converting and changing electrical output of the harvester to a DC electrical signal, conditioning, storing and providing the resulting electrical energy to a load;
FIG. 7 is a graph of PME voltage output versus field at 20 Hz for one embodiment of the invention;
FIGS. 8a-8b are schematic diagrams of two embodiments of an energy harvester wherein an external changing magnetic field generated by a coil is transmitted through tissue to an embedded PME sensor;
FIG. 9 is a graph of PME power versus load at 1 Oe and 29 kHz according to another embodiment of the invention; and
FIG. 10 is a block schematic diagram of a passive magnetostrictive/electroactive sensor constructed in accordance with one embodiment of the invention.



DETAILED DESCRIPTION
FIG. 2 illustrates a first embodiment of an energy harvester device according to the invention, wherein a static external magnetic field, here Hearth (the earth's magnetic field), acts at a distance (or through a non-magnetic barrier) on a sensor whose orientation in the field changes with time. Thus, the flux density in the sensor is altered by changes in the physical orientation of the sensor with respect to the direction of the earth's field (or other substantially static field). FIG. 2 illustrates this with a non-magnetic barrier 14 separating the energy harvester 12 on the left, attached to a moving object (rotating machinery part 16), from the source of external field 18 on the right. The arrow 26 extending across the width of sensor 12 represents the plane of the magnetization vector M. The arrow 20 illustrates rotation of sensor 12 from a first position 22 (labeled X) to a second position 24 (labeled X′). Alternatively, the sensor can be attached to a rotating part on a vehicle, a door, or other object that moves relative to the earth's field. As a further alternative, the sensor may also be suspended on its axis such that linear vibration acting on the sensor changes its orientation in the earth's field. The change in sensor orientation requires some asymmetry in the suspension for the vibrations to cause rotation of sensor about its axis. It is preferable that the change in sensor orientation be such that the axis between its electrodes changes orientation relative to the static field direction. In other words, the sensor motion should preferably not be rotation about the axis of the applied field.
A second embodiment of the invention is shown in FIG. 3, wherein a changing external field, Hearth-modified, acts at a distance (or through a non-magnetic barrier) on a stationary sensor 32. Here the orientation of the field at the sensor location changes with time. In FIG. 3, a moving magnetic object (rotating disk 34) in the path of the earth's ambient field causes a change in that field, and this changing field (Hearth-modified) then reaches (acts on) the static sensor 32.
In a further alternative embodiment, shown in FIG. 4, a permanent magnet 42 is affixed to a rotating or moving object 44 remote from the sensor 48. The change in position of the magnet 42 relative to the stationary sensor 48 causes a changing field (see field lines 46 of Hext) that acts on the static sensor 48. Arrow 45 illustrates rotation of the magnet to a second position (shaded area 42′ at the bottom of rotating disk 44) and the changing field as dashed lines 46′. Other sources of changing or alternating magnetic field can be found near electrical transformers, motors, actuators, switches, many electronic devices, inductor wires or coils, and near areas of high vehicle traffic or moving machinery. The remote changing magnetic field source can be designed to couple with the sensor efficiently in terms of frequency, distance and magnitude to deliver power remotely to the sensor.
FIG. 5 is a schematic illustration of a preferred sensor configuration 50 for use in the present invention. In this embodiment, a central layer of an electroactive (e.g., ceramic, polymer or single crystal piezoelectric; or a relaxor ferroelectric) material having a polarization vector P is shown, sandwiched between two layers 54, 56 of magnetostrictive material (e.g., of a soft ferromagnetic material having a non-zero magnetostriction) on opposing faces of central layer 52. Each magnetostrictive layer has a magnetization vector M which is caused to rotate in the plane of the magnetostrictive layer by an applied field H. A pair of electrodes 58 are disposed at opposite ends of the piezoelectric, the axis between the electrodes being parallel to the plane in which the magnetization vectors rotate. The voltage V generated in the piezoelectric, resulting from the magnetoelastic stress generated in the magnetic layers and transferred to the piezoelectric, can be measured in a circuit coupled to the electrodes attached to the piezoelectric layers.
The materials and configuration of the sensor may vary depending upon the particular application. While it is generally desirable to use a magnetic material with large magnetostriction for the magnetic layer(s), it is generally more important (for optimum power delivery) that the magnetostrictive material have a large product of a magnetostrictive stress and stiffness modulus (see “Novel Sensors Based on Magnetostrictive/Piezoelectric Lamination,” J. K. Huang, D. Bono and R. C. O'Handley, Sensors and Actuators 2006). This insures that the magnetic layer(s) more effectively transfer stress to the piezoelectric material. For example, while FeCo(Hyperco) shows a relatively large magnetostriction (approaching 100 ppm) and is extremely stiff, the product of these parameters translates to a magnetostrictive stress of 1.2 MPa. A high-magnetostriction material such as Fe2(Dy2/3Tb1/3) (known as Terfenol-D) on the other hand, is mechanically softer than FeCo but shows a much larger magnetostrictive strain and its magnetostrictive stress approaches 6 MPa.
It is also important (for optimum power generation) that the magnetostrictive stress changes by the largest possible amount under the influence of the changing field strength available at the sensor. For example, the magnetization vector of FeCo can be rotated in a field of a few tens of Oe (Oersteds) while the magnetization vector of Terfenol-D can be rotated in a field of several hundreds of Oe, provided in each case they are properly annealed and the aspect ratio of the material in the magnetizing direction is favorable.
The class of magnetostrictive materials that can be magnetized in the weakest fields consist of a variety of amorphous alloys based on iron (Fe) (optionally in combination with nickel (Ni)) and with glass formers such as boron (B) (optionally with silicon (Si)).
Electro-active materials, such as the commercially available piezoelectric lead-zirconate-titanates (PZT) have stress-voltage coefficients, g13 and g33, with values approximately equal to 10 and 24 mV/(Pa-m), respectively. Thus, a stress applied to the piezoelectric parallel to the direction across which the voltage is measured is more effective in generating a voltage than a stress transverse to this direction (out of the plane in which the vector is rotated by the field). Further, relaxor ferroelectrics have gij values that can be three to four times those of piezoelectrics. Also useful in these applications are piezo fibers or manufactured piezo fiber composites. They may have interdigitated electrodes with various spacings to produce electric fields along the piezo fibers or they may be electroded across the thickness of the fibers. Polymeric piezoelectric material(s) (e.g., poly-vinylidene-difluoride PVDF) may be advantageous in some applications.
There are a number of ways to increase the strength of the earth's field entering the magnetostrictive layers so as to enhance the power harvested. One way is to use flux concentrators (e.g., fan-shaped soft magnetic layers) placed in series with the sensing element in the presence of the field.
The sensor output can be adapted for immediate use or storage by coupling the sensor to an electronic circuit. One such circuit 70 is shown in FIG. 6. On the left hand side, a PME energy harvester Y1 is shown. A diode bridge D1 is disposed in parallel across the harvester output. The full wave diode bridge converts the AC electric charge on the harvester to a DC charge. Connected in parallel to the diode bridge is an energy storage capacitor C1 which stores the harvested energy as a voltage across it. Parallel to the capacitor is a limiter zener diode D2 which prevents overcharging of the capacitor C1 beyond its breakdown voltage. Next provided in parallel to the capacitor and diode bridge is a voltage regulator U1. The voltage regulating circuit reduces the capacitor voltage to a useful level for a load. The voltage regulated output across J1 is applied to the load, here represented as a load impedance Z1, which typically includes resistive and capacitive elements, and which uses the harvested energy to do useful work.
FIG. 7 is a comparison of the PME output voltage signal (RMS voltage in millivolts) versus magnetic field strength (H in telsa). In this embodiment the changing external magnetic field is at a low frequency of 20 Hz. The PME voltage output linearly increases from 0 to 650 millivolts with increasing magnetic field strength from 0 to 20e. Alternatively, the magnetic field can be static and the position of the PME varying. The substantially linear relationship between the PME voltage output and magnetic filed strength is representative for low frequency applications (where the field changes or the sensor motions are at low vibration frequencies or power transmission frequencies).
Alternatively, a higher frequency external field can be used to obtain a greater level of power from the PME (compared to the low frequency operation of FIG. 7). This is illustrated with the embodiment and resulting power output shown in FIGS. 8-9. FIG. 8a illustrates a means of delivering power inside a living organism (or any inaccessible or difficult to access location) without requiring the use of electrical wiring between the source of the power and the target device and without requiring (or with diminished need for) batteries. FIG. 8a shows an external loop antenna 80 generating an alternating magnetic field outside of the body. The magnetic field 84 generated by this loop antenna is transmitted through the skin and other tissue 82 to an embedded PME sensor 86 producing a resulting output voltage V. The power transmission here is achieved not by a high frequency microwave, RF or other electromagnetic wave, but rather by means of a relatively low frequency, benign, alternating magnetic field. Microwaves and other electromagnetic waves having a wavelength comparable to or less than the distance between the source and receiver, are rapidly attenuated by water or metals, and thus would not be suitable in this application. Instead, the loop antenna produces a low-frequency, magnetic-rich waves which are left essentially unattenuated by tissue (assuming no intervening magnetic material), and which do not have problems with tissue heating that accompanies microwaves. Alternatively, instead of a loop antenna (with no core) the external source could be a core-filled coil antenna such as a solenoid coil with core 90 (FIG. 8b), wherein the core may significantly enhance the field 92 in the body
The field generated by a loop, solenoid or core-filled coil antenna is richer in magnetic field strength than electric field strength within a range comparable to the wavelength of the radiation. The wavelength is given by the equation λ=c/f, where c is the speed of light in the medium, and f is the frequency of the radiation. At 1 MHZ (megahertz) in air, λ equals 300 m (meters); at 100 MHZ, λ equals 3 m. Thus, there is a wide range of frequencies over which to transmit a magnetic-field rich electromagnetic wave without significant attenuation.
The implanted passive magnetostrictive/electroactive (PME) sensor/transducer 86 receives and converts the AC magnetic field 84 to an AC voltage that can be processed to produce power needed for a particular application. For example, this apparatus can be used in powering internal pumps, sensors, valves and transponders in human and animals. More generally, it can be used to power devices which monitor health, organ function or medication needs, and for performing active functions such as pumping, valving, stimulation of cell growth or accelerated drug or radiation treatment locally. The described means of delivering power inside a living organism can be achieved without the use of electrical wires in between the source of the power and the target device and without the need, or diminished need, for batteries.
The wireless power harvested for the remote application can be optimized, for example, if resonance is achieved at each stage of transduction. Thus the external power source and the transmit antenna should be in resonance. The PME device should also be in resonance with the field it responds to, and the PME device should also be in resonance with the part of the circuit that receives the signal from the PME device. By careful design and material selection, it is possible for all three resonances to closely coincide. FIG. 9 illustrates one example of a PME power output (mW/cm3) versus load (ohm) for one such resonant system operating at a frequency of 29 kHz and a field of one (1) Oe.
The remote sensor can be used not only for powering internal pumps, sensors and transponders in humans and animals, but can be used to monitor the flow of things (people or inanimate objects) past gates (either for security or tracking purposed).
There will now be described in more detail alternative sensor configurations and sensor materials which may be useful in various embodiments or the present invention.
FIG. 10 is a block schematic diagram of one embodiment of a passive magnetostrictive sensor useful in the practice of the invention. The sensor 400 comprises a magnetic layer 402 that is bonded to a piezoelectric layer 404 by a suitable non-conductive means, such as non-conductive epoxy glue. Although only one magnetic layer 402 is shown bonded to a single piezoelectric layer 404, those skilled in the art would understand that two or more magnetic layers can be used. The magnetization vector 415 (M) of the magnetic material 402 rotates in the plane 416 of the magnetic layer 402 when an external magnetic field (H) is applied as shown by the arrow 414. The rotation of the magnetization vector M causes a stress in the magnetostrictive layer 402 which is, in turn, applied to the piezoelectric layer 404 to which the magnetic layer 402 is bonded. In this design the direction of magnetization, M, rotates in the preferred plane of magnetization, changing direction from being parallel to perpendicular (or vice versa) to a line joining the electrodes. This maximizes the stress change transferred to the electroactive element.
The stress-induced voltage in the piezoelectric material 404 is measured across a pair of electrodes 406 and 407 of which only electrode 406 is shown in FIG. 10. The magnitude of the voltage developed across electrodes 406 and 407 is a function of the magnetic field strength for H<Ha, the anisotropy field (at which M is parallel to the applied field) and can be utilized to power a device 410 that is connected to electrodes 406 and 407 by conductors 412 and 408, respectively.
The sensor is constructed so that stress-induced voltage is measured in a direction that is parallel to the plane 416 in which the magnetization rotates. The stress is generated in the magnetic material 402, which responds to an external magnetic field 414 (H) with a magnetoelastic stress, σmag, that has a value in the approximate range of 10 to 60 MPa. Because the magnetic material 402 is bonded to a piezoelectric layer 404, the layer 404 responds to the magnetostrictive stress with a voltage proportional to the stress, σmag, transmitted to it. Piezoelectric materials respond to a stress with a voltage, V, that is a function of the applied stress, a voltage-stress constant, and the distance, l between the electrodes. In particular,




  
    δ
    ⁢
    
      
    
    ⁢
    V
  
  =
  
    
      g
      ij
      piezo
    
    ⁢
    f
    ⁢
    
      
    
    ⁢
    
      δσ
      mag
    
    ⁢
    l
  




Here δσmag is the change in magnetic stress that is generated in the magnetic material by the field-induced change in its magnetization direction. A fraction, f, of this stress is transferred to the electroactive element. δV is the resulting stress-induced change in voltage across the electrodes on the electroactive element.
If the voltage is measured in a direction orthogonal to the direction in which the stress changes, then gij=g13. As mentioned previously, typically piezoelectric values for g13 are 10 millivolt/(meter-Pa). However, if the voltage is measured in a direction parallel to the principal direction in which the stress changes in accordance with the embodiment of FIG. 4, then gij=g33. Thus, the sensor operates in a g33 or d33 mode. For a typical piezoelectric material g33=24 millivolt/(meter-Pa)=0.024 volt-meter/Newton. In this case, a stress of 1 MPa generates an electric field of 24 kilovolt/meter. This field generates a voltage of 240 V across a 1 cm (l=0.01 m) wide piezoelectric layer.
The stress generated by the magnetic material 402 depends on the extent of rotation of its magnetization, a 90 degree rotation producing the full magnetoelastic stress. The extent of the rotation, in turn, depends of the angle between the magnetization vector 415 and the applied magnetic field direction 414 and also depends on the strength of the magnetic field and on the strength of the magnetic anisotropy (magnetocrystalline, shape and stress-induced) in the magnetic layer. The fraction, f, of the magnetostrictive stress, σmag, transferred from magnetic to the piezoelectric layer depends on the (stiffness×thickness) product of the magnetic material, the effective mechanical impedance of the bond between the magnetic and electric elements (proportional to its stiffness/thickness), and the inverse of the (stiffness×thickness) of the piezoelectric layer.
A quality factor may be defined from the above equation to indicate the sensitivity of the device, that is, the voltage output per unit magnetic field, H (Volts-m/A):




  
    
      ∂
      V
    
    
      ∂
      H
    
  
  =
  
    
      g
      33
      piezo
    
    ⁢
    
      f
      ⁡
      
        (
        
          
            ∂
            
              σ
              mag
            
          
          
            ∂
            H
          
        
        )
      
    
    ⁢
    l
  




The characteristics of a suitable magnetostrictive material are preferably large internal magnetic stress change as the magnetization direction is changed. This stress is governed by the magnetoelastic coupling coefficient, B1, which, in an unconstrained sample, produces the magnetostrictive strain or magnetostriction, λ, proportional to B1 and inversely proportional to the elastic modulus of the material. It is also important that the magnetization direction of the magnetic material can be rotated by a magnetic field of magnitude comparable to the applied field. In general, the magnetic material should also be mechanically robust, relatively stable (not prone to corrosion or decomposition), and receptive to adhesives. In addition, if the magnetic material is electrically non-conducting, it can be bonded to the electroactive element with the thinnest non-conducting adhesive layer that provides the needed strength without danger of shorting out the stress-induced voltage developed across the electroactive element. For PME devices in which the voltage is measured across electrodes that are not the same as the megnetostrictive layers, care must be taken that the magnetostrictive layers not short out the voltage between the measuring electrodes. This can be accomplished by using a non-conducting adhesive to insulate the magneostrictive layer(s) from the electroactive element(s).
Many known magnetostrictive materials can be used for the magnetic layer 402. These include various magnetic alloys, such as amorphous-FeBSi or Fe—Co—B—Si alloys, as well as polycrystalline nickel, iron-nickel alloys, or iron-cobalt alloys such as Fe50Co50 (Hyperco). For example, amorphous iron and/or nickel boron-silicon alloys of the form FexBySi1-x-y, where 70<x<86 at %, 2<y<20, and 0<z=1-x-y<8 at % are suitable for use with the invention with a preferred composition near Fe78B20Si2. Also suitable are alloys of the form FexCoyBzSi1-x-y-z where 70<x+y<86 at % and y is between 1 and 46 at %, 2<z<18, and 0<1-x-y-z<16 at %, with a preferred composition near Fe68Co10B18Si4. Iron-nickel alloys with Ni between 40 and 70 at % with a preferred composition near 50% Ni can be used. Similarly, iron-cobalt alloys with Co between 30 and 80% and a preferred composition near 55% Co (such as Fe50Co50.) are also suitable.
Another magnetostrictive material that is also suitable for use with the invention is Terfenol-D® (TbxDy1-xFey), an alloy of rare earth elements Dysprosium and Terbium with the transition metal iron, manufactured by ETREMA Products, Inc., 2500 N. Loop Drive, Ames, Iowa 50010, among others. Terfenol-D® can generate a maximum stress on the order of 60 MPa for a 90-degree rotation of its magnetization. Such a rotation can be accomplished by an external applied magnetic field on the order of 400 to 1000 Oersteds (Oe). Also useful are highly magnetostrictive alloys such as Galfenol®, Fe1-xGax. (ETREMA Products). Softer magnetic materials, such as certain Fe-rich amorphous alloys mentioned above, may achieve full rotation of magnetization in fields of order 10 Oe, making them suitable for the magnetic layer in a sensor for sensing weaker fields. Finally, it is possible to use certain so-called nanocrystalline magnetic materials. In these polycrystalline materials, it is generally that case that the magnetization can be rotated as easily as it can be in amorphous materials. But nanocrystalline materials can sometimes be engineered to have larger magnetoelastic coupling coefficients than amorphous materials.
The preferred characteristics of a suitable electroactive layer for the sensor devices are primarily that they have a large stress-voltage coupling coefficient, g33. In addition, they preferably should be mechanically robust, receptive to adhesives, not degrade the metallic electrodes that must be placed on them (this is most often easily achieved when the electrodes are made of noble metals, such as silver or gold). Generally, the electroactive material is chosen on the basis of having a value of gij greater than 10 mV/(Pa-m).
The electroactive layer can be a ceramic piezoelectric material such as lead zirconate titanate Pb(ZrxTi1-x)O3, or variations thereof, aluminum nitride (AlN) or simply quartz, SiOx. In some applications a single crystal (as opposed to a ceramic or polycrystalline) piezoelectric material may be advantageous. Alternatively, a polymeric piezoelectric material such as polyvinylidene difluoride (PVDF) would be suitable for applications where the stress transferred from the magnetostrictive material is relatively weak. The softness of the polymer will allow it to be strained significantly under weaker applied stress to produce a useful polarization, or voltage across its electrodes. It is also advantageous in some applications to use another electroactive material, such as an electrostrictive material (for example, (Bi0.5Na0.5)1-xBaxZryTi1-yO3) or a relaxor ferroelectric material (for example, Pb(Mg1/3Nb2/3)3). Collectively, the piezoelectric, ferroelectric, electrostrictive and relaxor ferroelectric layers are called “electroactive” layers.
Piezoelectric materials typically have g33 ̃4×g31 and g33≈20 to 30 mV/(Pa-m) which is about 10×d31. For PVDF, g33≈100 mV/(Pa-m) and some relaxor ferroelectrics can have g22≈60 my/(Pa-m).
Model predictions and experimental results shown in Table 1 compares the parameters gij, in mV/m-Pa, the electrode spacing l in meters, the maximum stress per unit field (B1/μoHa) in Pa/T, and calculated field sensitivity in nV/nT and the observed field sensitivity, dV/dB. The values tabulated for a g33 device using a relaxor ferroelectric are based on the data observed with a piezoelectric based sensor and using a ratio of g33 for typical relaxors/piezoelectrics.










TABLE 1









max.
Sensitivity













gij
l
stress
Calc.
Obs.
















Piezo/magnetic sensors:







d31 sensor
11
10−3
108
104
  280


d31 sensor
11
10−3
108
104
1,200


d33 sensor
24
10−2
109
2 × 105
1.5 × 104


Relaxor/magnetic sensors:


d33 relaxor/mag sensor
60
10−2
109
106
(105)









The calculated sensitivity in the table is defined with perfect stress coupling, namely f=1 in MKS units (V/Tesla) as




  
    
      ∂
      V
    
    
      
        μ
        0
      
      ⁢
      
        ∂
        H
      
    
  
  ≈
  
    
      g
      33
      piezo
    
    ⁢
    l
    ⁢
    
      
        B
        1
      
      
        
          μ
          o
        
        ⁢
        
          H
          a
        
      
    
  




Here B1 is the magneoelastic coupling coefficient, a material constant that generates the magnetic stress in the magnetostrictive material, σm, which was used in earlier equations.
Other useful sensor embodiments are disclosed in U.S. Ser. No. 10/730,355 filed 8 Dec. 2003 entitled “High Sensitivity, Passive Magnetic Field Sensor and Method of Manufacture,” by J. Huang, et al., the subject matter of which is incorporated by reference herein in its entirety.
Although exemplary embodiments of the invention have been disclosed, it will be apparent to those skilled in the art that various changes and modifications can be made which will achieve all or some of the advantages of the invention.

## Claims

1. An energy harvester without a local field source comprising:
a magnetic field sensing element including one or more layers of magnetostrictive material having a magnetization vector that responds to variations in an applied magnetic field by generating a stress, and one or more layers of electroactive material, mechanically bonded to the layer of magnetostrictive material, that responds to the stress by generating a voltage; and
a circuit coupled to the sensing element that converts the voltage to electrical power for immediate use or storage;
wherein the sensing element is mounted to an object that moves relative to the applied magnetic field, such that changes in orientation of the sensing element with respect to the applied field generates the voltage.

2. The energy harvester of claim 1, wherein the sensing element includes electrodes for measuring the voltage generated and wherein the electrodes are configured such that the distance between the electrodes and cross sectional area between the electrodes are tailored to produce a desired electrical power; and
wherein the magnetization vector rotates relative to the electrode axis due to changes in the orientation of the sensor in the applied external field.

3. The energy harvester of claim 2, wherein local vibrations also change the orientation of the sensor with respect to the applied external field.