The present disclosure relates to a power generation device, particularly to a power generation device converting vibration energy into electrical energy.
With pressure applied in a specific direction, a piezoelectric element induces an electric polarization to generate a voltage. A power generation device using a piezoelectric element converts mechanical displacement to a voltage to generate electric power. Familiar mechanical displacement is, for example, vibration. If power is generated by vibration, there is no need to prepare any power supply to operate electronic devices.
An example method of generating electric power by vibration uses a vibration energy harvesting element including a piezoelectric element attached to a diaphragm. This method allows for efficient power generation, since large mechanical displacement is applied to the vibration energy harvesting element, when the natural frequency of the vibration energy harvesting element agrees with the frequency of input vibration.
In this method, however, small mechanical displacement is applied to the vibration energy harvesting element, when the natural frequency of the vibration energy harvesting element is different from the frequency of the input vibration. Thus, the power generation device using this method reduces the frequency range for efficient power generation.
The vibration of, for example, a machine or a structure varies depending on various conditions, and is not constant. It is thus difficult for a power generation device using this method to act as a power supply that stably supplies electric power.
A method considered to increase the frequency range for efficient power generation (see, for example, Patent Document 1) combines a plurality of vibration energy harvesting elements with different natural frequencies. In this method, however, the vibration energy harvesting elements operate merely separately. The power generation device using this method is less likely to efficiently generate electric power within a wide frequency range.
A method considered to efficiently generate electric power in a wide frequency range (see, for example, Patent Document 2) employs a two-degree-of-freedom vibration system including vibration energy harvesting elements attached to a holder with a natural frequency different from those of the vibration energy harvesting elements. The method combines two vibration systems to generate electric power within a frequency range several times as large as that of a single vibration energy harvesting element. The power generation device using this method thus can increase the total amount of power generation.
However, a further increase in the amount of power generation is demanded. In addition, a power generation device is desired, which stably generates electric power even at a variable frequency and whose amount of power generation is less dependent on the frequency. Installation of a plurality of power generation devices with different natural frequencies can increase the amount of power generation, and reduce the dependence of the amount of power generation on the frequency. However, the installation of a plurality of power generation devices causes a problem of an increasing installation area. If a plurality of vibration energy harvesting elements are attached to a common holder, not only a decrease in the installation area but also a decrease in the costs of a power generation device is expected.
The present inventors have found that the following problem arises; that is, if an increasing number of vibration energy harvesting elements are simply attached to a single holder to configure a power generation device, interference occurs among the vibration energy harvesting elements, thereby reducing the power generation efficiency and increasing the dependency of the amount of power generation on the frequency.
It is an object of the present disclosure to solve the problem found by the present inventors. A power generation device including a plurality of vibration energy harvesting elements attached to a single holder aims to achieve at least one of improved power generation efficiency and lower dependency of the amount of power generation on the frequency.
A power generation device according to an aspect includes: a holder with a natural frequency of fA; and two or more vibration energy harvesting elements held by the holder and having natural frequencies different from each other. One of the vibration energy harvesting elements has a lowest natural frequency fBmin satisfying the following Expression 1, and another one of the vibration energy harvesting elements has a highest natural frequency fBmax satisfying the following Expression 2:
f
Bmin≥(0.925−2.5 N/100)fA (1), and
f
Bmax≤(1.075+2.5 N/100)fA (2),
where N is the number of the vibration energy harvesting elements.
The power generation device according to the present disclosure achieves at least one of improved power generation efficiency and lower dependency of the amount of power generation on the frequency.
As shown in
The vibrating member 200 includes all types of members that generate vibration. Examples of the vibrating member 200 include machines such as transportation machines, machine tools, household appliances, and components thereof. For example, motor vehicles, trains, aircrafts, refrigerators, and washing machines are included. Bodies, engines, motors, shafts, mufflers, bumpers, tires, compressors, and fans used these machines are also included. Further included are constructions such as buildings, roads and bridges, and associated structural members such as posts, walls and floors, and equipment such as elevators and ducts.
The holder mass member 113 is elastically connected to the vibrating member 200 by elastic members 111. The holder mass member 113 includes a case 115 with a housing space 113a for housing the vibration energy harvesting elements 105, and a lid 116.
In
The power generation device including the N vibration energy harvesting elements serves as a multi-degree-of-freedom vibration system, which can be represented by a vibration model shown in
As represented by the following expression, a natural frequency fA of the single degree-of-freedom vibration system of the holder 101 alone is determined by kA of the elastic members 111 and the mass mA of the holder mass member 113. Note that mA is expressed as the mass of the holder mass member 113. Strictly, mA is the sum of the mass of the holder mass member 113 including the case 115 and the lid 116, and the mass of, for example, the power generation elements attached thereto.
As represented by the following expression, a natural frequency fBn of the single degree-of-freedom vibration system of the n-th vibration energy harvesting element 105 alone is determined by the elastic coefficient kBn of the leaf spring 151 and the mass mBn of the element mass member 153. Note that mBn is expressed as the mass of the element mass member 153. Strictly, mBn includes the masses of the leaf spring 151 and the piezoelectric element 155.
In the power generation device according to the present embodiment, the plurality of vibration energy harvesting elements 105 fixed to the single holder 101 have natural frequencies different from each other. The lowest natural frequency fBmin satisfies the following Expression 1, while the highest natural frequency fBmax satisfies the following Expression 2.
f
Bmin≥(0.925−2.5 N/100)fA (1), and
f
Bmax≤(1.075+2.5 N/100)fA (2),
Here, N is the number of the vibration energy harvesting elements 105 fixed to the single holder 101.
The natural frequencies of the plurality of vibration energy harvesting elements 105 attached to the holder 101 fall within such a range. This can improve the power generation efficiency and decrease the dependency of the amount of power generation on the frequency, as compared to the case of a single vibration energy harvesting element.
Further, within the range where fBmin and fBmax satisfy Expressions 1 and 2, respectively, the natural frequencies of the vibration energy harvesting elements 105 are adjusted to have a predetermined relationship, thereby providing various advantages. Assume that, for example, one of the vibration energy harvesting elements has an n-th lowest natural frequency fBn and another one has an (n+1)th lowest natural frequency fBn+1. Expressions 1 and 2 as well as the following Expression 3 may be satisfied.
f
Bn<0.955fBn+1 (3)
In this manner, fBn is set smaller than 0.955 times fBn+1. This can reduce the interference between the vibration energy harvesting elements to largely increase the amount of power generation. This case can provide a larger amount of power generation than the total amount of power generation of N power generation devices, each of which includes only one vibration energy harvesting element with a corresponding natural frequency and attached to a holder. This case can greatly improve the power generation efficiency.
The power generation device of the present embodiment can generate a larger total amount of power, if fBn and fBn+1 satisfy Expression 3. However, assume that the amount of power generation is plotted with respect to the frequency of the input vibration in the power generation device of the present embodiment. Then, usually, the amount of power generation varies depending on the frequency, and the number of the vibration energy harvesting elements+1 peaks appear. In view of reducing the dependency of the amount of power generation on the frequency to stably generate electric power, the differences may be small between the peaks and valleys. In view of reducing the differences between the peaks and valleys, the difference between fBn and fBn+1 may be small to some extent. For example, fBn+1 may be 1.15 times or less of fBn as represented by Expression 4.
f
Bn+1≤1.15 fBn (4)
In view of further reducing the differences between the peaks and valleys fBn+1 may be, for example, 1.07 times or less of fBn (fBn+1≤1.07 fBn) as represented by Expression 5. This can reduce the ratio between an amount Pv of power generation at the lowest valley and an amount Pt of power generation at the highest peak.
f
Bn+1≤1.07 fBn (5)
Satisfaction of Expressions 1 and 2 as well as Expression 4 or 5 reduces the valleys representing largely decreasing amounts of power generation to allow for stable power generation. Further, satisfaction of Expression 3 in addition to Expressions 1 and 2 as well as Expression 4 or 5 increases the total amount of power generation to allow for stable power generation.
The mass mA of the holder mass member 113 may be determined based on the required natural frequency of the holder vibration system. Note that if the mass mA is 10% or more (mA≥0.1×M) of the equivalent mass M of the vibrating member 200, the holder mass member 113 has a sufficient influence on the vibration state of the vibrating member 200 to function as a dynamic damper. This can provide the advantage of cancelling the vibration and reducing the vibration of the vibrating member 200. Note that the power generation device 100 does not necessarily have to function as a damper such as a dynamic damper. In this case, the mass mA of the holder mass member 113 may be less than 10% of the equivalent mass M of the vibrating member 200.
Each element mass member 153 is for setting the natural frequency of the associated vibration energy harvesting element 105. The mass m of each element mass member 153 may be determined based on the required natural frequency of the vibration energy harvesting element 105. Note that mA×X>mBtotal×Q may be satisfied as follows. The response magnification (resonance response magnification) X at the natural frequency of the holder 101 is set sufficiently smaller than the response magnification (resonance response magnification) Q at the natural frequency of the vibration energy harvesting element 105. The mass mA of the holder mass member 113 is set sufficiently larger than the total mass mBtotal of the element mass members 153. Such a setting provides a wider frequency bandwidth for generating greater power. This advantage is further increased by setting the mass mA of the holder mass member 113 five times or more of the total mass mBtotal of the element mass members 153.
Setting of the mass of each element mass member 153 smaller than that of the holder mass member 113 sufficiently reduces the spring constant of the associated leaf spring 151. This effectively causes the relative displacement of the holder mass member 113 with respect to the element mass member 153.
The leaf spring 151 of each vibration energy harvesting element 105 may be a metal member in a longitudinal plate made of, for example, spring steel or stainless steel for a spring.
The element mass member 153 of each vibration energy harvesting element 105 is a member in a rectangular block made of a material, such as iron, with high specific gravity.
In each vibration energy harvesting element 105, the piezoelectric element 155 includes a lower electrode 156, an upper electrode 157, and a piezoelectric layer 158 interposed between the lower electrode 156 and the upper electrode 157, as shown in
The external force exerted from the vibrating member 200 onto the holder mass member 113 is transmitted to the element mass members 153. This causes relative displacement between the holder mass member 113 and the element mass members 153, and elastically deforms the leaf springs 151. Since the piezoelectric elements 155 are integral with the respective leaf springs 151, the vibration energy caused by the relative displacement between the holder mass member 113 and the element mass members 153 is input to the piezoelectric elements 155. This deforms the piezoelectric elements 155 together with the leaf springs 151, thereby generating voltages. Accordingly, the vibration power generation device of the present embodiment converts vibrational energy to electrical energy in accordance with the amount of relative displacement between the holder mass member 113 and the element mass members 153.
Electric power generated in each piezoelectric element 155 can be extracted from a lead connected to each of the lower electrode 156 and the upper electrode 157. The output of each piezoelectric element 155 can be rectified by a rectifier circuit and then connected in series or in parallel. The electric power generated in the piezoelectric element 155 can drive an electric circuit. The electric circuit is not particularly limited, but may be, for example, a DC/DC converter circuit, a power storage circuit, a sensor circuit, or a radio transmission/reception circuit.
Each piezoelectric layer 158 may be a film made of, for example, a ceramic material or a single crystal material. Examples of the material of the film may include lead zirconate titanate, aluminum nitride, lithium tantalate, and lithium niobate. The piezoelectric layer 158 may be a film with compressive stress applied thereto. This can largely deform the piezoelectric layer 158.
Each piezoelectric element 155 may be formed, for example, as follows. First, a paste layer of a silver-palladium alloy is screen-printed on a main surface of the leaf spring 151 made of a heat-resistant stainless-steel plate such as SUS430 containing a small amount of aluminum. Next, a paste layer of a piezoelectric material containing powder of a piezoelectric material composition is screen-printed on the paste layer of the silver-palladium alloy. A paste layer of a silver-palladium alloy is then screen-printed on the paste layer of the piezoelectric material to form an unsintered element. The unsintered element is then placed in a sintering sheath and sintered at 875° C. for two hours. This sinters and densifies the paste layers of silver-palladium and the piezoelectric material. As a result, a sintered element is formed, which is integral with the leaf spring 151, and includes the lower electrode 156, the piezoelectric layer 158, and the upper electrode 157. Next, a voltage of 100 V is applied between the lower electrode 156 and the upper electrode 157 at 120° C. for 30 minutes to polarize the piezoelectric layer 158.
Each leaf spring 151 may approximately have a width of, for example, 15 mm, a length of 30 mm, and a thickness of 0.1 mm Each of the paste layers of silver-palladium and the piezoelectric material may approximately have a width of about 14.5 mm and a length of 24 mm Each of the lower electrode 156 and the upper electrode 157 after the sintering may have a thickness of about 5 μm. The piezoelectric layer 158 after the sintering may have a thickness of about 25 μm.
The piezoelectric layer 158 may be made of, for example, Pb1.015Zr0.44Ti0.46(Zn1/3Nb2/3)0.10O3.015. This composition exhibits excellent piezoelectric properties, and the B site of lead zirconate titanate (PZT) is replaced with Pb(Zn1/3Nb2/3)O3 by 10 mol %. The Pb site ratio is 1.015 exceeding the stoichiometry. In this case, the paste of the piezoelectric material may be produced as follows. The raw materials are the powder of lead oxide (PbO), titanium dioxide (TiO2), zirconium dioxide (ZrO2), zinc oxide (ZnO), and niobium pentoxide (Nb2O5) with a purity of 99.9% or more. With the use of these raw materials, the powder of a piezoelectric material composition with a molar ratio represented by the composition formula (1) is prepared by a solid phase method. In order to sinter the piezoelectric layer at a temperature of 900° C. or below, the powder has a particle size smaller than 0.5 μm.
Next, an organic vehicle containing an organic binder and a solvent is prepared. The organic binder may be made of at least one selected from, for example, an ethyl cellulose resin, an acrylic resin, a butyral resin. The solvent may be made of, for example, a-terpineol or butyl carbitol. The mixing ratio of the organic binder to the solvent may be, for example, 2:8. The organic vehicle and the powder of the piezoelectric material composition are mixed and kneaded together with an appropriate amount of a phosphoric ester-based dispersant. Accordingly, the paste of the piezoelectric material is obtained. The mixing ratio of the organic vehicle to the piezoelectric material composition may be 20:80 by weight. For the kneading, for example, a three-ball mill may be used.
The silver-palladium paste may be a paste containing silver-palladium alloy particles of, for example, 90% of silver and 10% of palladium. The silver-palladium alloy particles may have a particle size of about 0.9 μm.
To the surface of the piezoelectric layer 158 of the piezoelectric element 155 obtained in this manner, a compressive stress of, for example, about 450 MPa is applied. The reason is found in the difference in the average thermal expansion coefficient from the room temperature to the firing temperature of 900° C. The PZT-based piezoelectric material has an average of about 5 ppm/K, while the heat-resistant stainless-steel plate has a significantly large average of 12 ppm/K. The residual stress on the surface of the piezoelectric layer 158 may be obtained as follows. The upper electrode 157 of the piezoelectric element 155 is removed by polishing to expose the piezoelectric layer 158. Then, the interval of the crystal lattice is measured on the exposed surface of the piezoelectric layer 158 by X-ray diffraction. To measure the residual stress, for example, the peak derived from the plane index (111) may be used, where the diffraction angle 2θ appears around 38°.
In
In this embodiment, each vibration energy harvesting element 105 is fixed to the fixing protrusion 117 that protrudes from the bottom of the case 115. This can reduce the difference in the vertical position of the center of gravity between the holder mass member 113 and the element mass member 153. Further, the support position of the leaf spring 151 becomes closer to the center of the case 115 to reduce the difference in the horizontal position of the center of gravity between the element mass member 153 and the holder mass member 113. Accordingly, the vertical vibration of the holder mass member 113 is directly and efficiently transmitted to the leaf spring 151 to cause, in the leaf spring 151, bending deformation effective for power generation. On the other hand, there is vibration which inhibits bending deformation of the leaf spring 151, such as vibration displacement and rotational displacement, with the maximum vibration amplitude at the outer edge of the case 115. Such vibration is less transmitted to the vibration energy harvesting element 105, which improves the power generation efficiency.
In
In this manner, the outer peripheral side surfaces of the holder mass member 113 are held by the elastic members 111. The elastic members 111 are mainly subjected to shear deformation in the direction in which the vibration is input from the vibrating member 200. This easily provides low dynamic spring characteristics, and improves the degree of freedom in tuning.
The shapes and arrangement of the holder mass members 113 and the elastic members 111 are not limited thereto, as long as allowing for efficient input of vibration from the vibrating member 200. For example, as in a first variation shown in
Further, the holder mass member 113 serves as the case 115 with the housing space 113a to encapsulate vibration energy harvesting elements 105. This facilitates reduction in degradation of the vibration energy harvesting elements. Note, for example, that the shape of the holder mass member 113 and the attachment position of the leaf springs 151 may be freely designed. For example, as in a second variation shown in
Although not particularly limited, the holder mass member 113 may be made of a material with a higher specific gravity. For example, iron may be used. The elastic member(s) 111 may be of any type, as long as being capable of elastically connecting the holder mass member 113 to the vibrating member 200. For example, a rubber elastic body in a rectangular block may be used. Examples of the rubber elastic body may include natural rubber, synthetic rubber or blend rubber of natural rubber and synthetic rubber. The synthetic rubber may be any one of styrene-butadiene rubber, butadiene rubber, isoprene rubber, chloroprene rubber, isobutylene-isoprene rubber, chlorinated isobutylene-isoprene rubber, acrylonitrile-butadiene rubber, hydrogenated acrylonitrile-butadiene rubber, ethylene-propylene-diene rubber, ethylene-propylene rubber, acrylic rubber, and silicone rubber. Alternatively, the elastic member(s) 111 is/are not limited to the rubber elastic body/bodies, and may be made of a metal spring such as a coil spring, a leaf spring, or a rod spring.
The elastic member(s) 111 is/are not necessarily a dedicated member(s), and may be a part of the structure of the vibrating member 200. For example, if the vibration member 200 is a vehicle, an elastic part of a damping dynamic damper provided in the vehicle may be used as the elastic member 111.
In this embodiment, an example has been described where the power generation device 100 is attached to the vibrating member 200 via the connecting member 181. The connecting member 181 may be provided as necessary, and the power generation device 100 may be directly attached to the vibrating member 200. The shape of the connecting member 181 may be freely designed in accordance with the shapes of the power generation device 100 and the vibrating member 200. An example has been described where the connection member 181 and the vibrating member 200 are fixed by bolts. The configuration is not limited thereto, and these members may be fixed, for example, by an adhesive or welding.
In this embodiment, an example has been described where all the vibration energy harvesting elements 105 attached to the holder 101 satisfy the relationships of predetermined natural frequencies. However, assume that three or more vibration energy harvesting elements 105 are attached to the holder 101. If at least two vibration energy harvesting elements 105 satisfy the relationships of the predetermined natural frequencies, one or more vibration energy harvesting elements 105 may satisfy none of the relationships of the predetermined natural frequencies.
The power generation device of the present embodiment requires only a small space for attachment. In addition, the power generation device achieves one or both of a larger amount of power generation, and lower dependence of the amount of power generation on the frequency. The application of the power generation device of the present embodiment is not particularly limited. The power generation device may be used, for example, for power supplies of a sensor for monitoring the state of a device generating vibration, a guide light turned on when someone walks by, and a sensor for monitoring vibration caused movement of, for example, a person, a vehicle, and a device. The power generation device may also be used as a sensor.
The present disclosure will now be described in more detail with reference to the following examples. The following examples are illustrative and are not intended to limit the present disclosure.
<Measurement of Power Generation Characteristics>
Vibration power generation devices, each of which includes a combination of a holder and a plurality of vibration energy harvesting elements, are provided with vibration using a vibration generator to generate electric power. The generated power was measured by detecting across voltages Vrmsn output leads of vibration energy harvesting elements. Generated power Pn of the vibration energy harvesting elements was calculated by Vrmsn2/R, where R is a value of a resistor connected between the leads, and set to 100 kΩ. The sum of the generated power Pn of the vibration energy harvesting elements was referred to as the generated power P of the power generation devices. The frequencies were varied within a range from 80 Hz to 150 Hz to obtain the generated power P at respective frequencies. The integrated value was referred to as the total generated power Ptotal. The acceleration of the vibration applied by the vibration generator was 0.1 G.
Power generators were used, each of which includes two vibration energy harvesting elements attached to a holder. The holder had a natural frequency fA of 111.14 Hz. One of the vibration energy harvesting elements had a fixed natural frequency of 114 Hz. The other vibration energy harvesting element had a predetermined natural frequency within a range from 90 Hz to 130 Hz. With respect to the power generation devices, the dependency of the generated power on the frequency and the total generated power Ptotal were evaluated. In addition, comparative power generation devices equipped with vibration energy harvesting elements with predetermined natural frequencies were prepared, and the total generated power was measured. The sum P1+2 of the generated power was obtained so that the vibration energy harvesting elements had the same combination of frequencies as those of the power generation devices according to the present example. Then, the difference between Ptotal and P1+2 was evaluated. As to the generated power, a highest peak value Pt and a lowest valley value Pv between the plurality of peaks were evaluated. As an index to indicate the expansion of the frequency range, a frequency range Δf100 was obtained, in which a power of 100 μW or more was provided, using 100 μW as a reference.
Device 1 with a natural frequency of 90 Hz had Ptotal of 5013 μW. The difference between Ptotal and P1+2 was 1468 μW, and Δf100 was 18.6 Hz.
Device 2 with a natural frequency of 94 Hz had Ptotal of 5236 μW. The difference between Ptotal and P1+2 was 974 μW, and Δf100 was 20.1 Hz.
Device 3 with a natural frequency of 98 Hz had Ptotal of 5727 μW. The difference between Ptotal and P1+2 was 1221 μW, and Δf100 was 25.6 Hz.
Device 4 with a natural frequency of 102 Hz had Ptotal of 5829 μW. The difference between Ptotal and P1+2 was 1614 μW, and Δf100 was 22.8 Hz.
Device 5 with a natural frequency of 106 Hz had Ptotal of 5830 μW. The difference between Ptotal and P1+2 was 1322 μW, and Δf100 was 20.6 Hz.
Device 6 with a natural frequency of 110 Hz had Ptotal of 3246 μW. The difference between Ptotal and P1+2 was −1723 μW, and Δf100 was 17.3 Hz.
Device 7 with a natural frequency of 118 Hz had Ptotal of 4278 μW. The difference between Ptotal and P1+2 was −879 μW, and Δf100 was 20.0 Hz.
Device 8 with a natural frequency of 122 Hz had Ptotal of 5754 μW. The difference between Ptotal and P1+2 was 1185 μW, and Δf100 was 23.2 Hz.
Device 9 with a natural frequency of 126 Hz had Ptotal of 5012 μW. The difference between Ptotal and P1+2 was 815 μW, and Δf100 was 23.5 Hz.
Device 10 with a natural frequency of 130 Hz had Ptotal of 4471 μW. The difference between Ptotal and P1+2 was 655 μW, and Δf100 was 18.3 Hz.
Table 1 collectively shows evaluation results of Devices 1 to 10.
Among the devices, in which fmin and fmax satisfy the conditions of Expressions 1 and 2, respectively, Devices 4 to 8 include two vibration energy harvesting elements with natural frequencies satisfying Expression 4. Each of these devices has a Pv/Pt ratio of 40% or higher, and thus more stably generates electric power. In addition, Devices 6 to 8, which satisfy Expression 5, have a Pv/Pt ratio of 45% or higher, and thus further more stably generate electric power.
Among the devices, in which fmin and fmax satisfy the conditions of Expressions 1 and 2, respectively, Devices 3 to 5 and 8 include two vibration energy harvesting elements with natural frequencies satisfying Expression 3. The total power generated is increased and the power generation efficiency is improved.
Power generators are used, each of which includes three vibration energy harvesting elements attached to a holder. The holder had a natural frequency fA of 105.8 Hz. Two of the vibration energy harvesting elements had natural frequencies of 107.1 Hz and 119.3 Hz. The other one of the vibration energy harvesting elements had a predetermined natural frequency within a range from 89 Hz to 122.7 Hz. As to the power generation devices, the dependency of the generated power on the frequency and the total generated power Ptotal were evaluated. As to the generated power, a highest peak value Pt a lowest valley value Pv between the plurality of peaks were evaluated. As an index to indicate the expansion of the frequency range, a frequency range Δf100 was obtained, in which a power of 100 μW or more was provided, using 100 μW as a reference.
Device 11 with a natural frequency of 89 Hz had Ptotal of 8166 μW and Δf100 of 25.0 Hz.
Device 12 with a natural frequency of 91.1 Hz had Ptotal of 8798 μW and Δf100 of 25.2 Hz.
Device 13 with a natural frequency of 92.6 Hz had Ptotal of 8987 μW and Δf100 of 31.3 Hz.
Device 14 with a natural frequency of 94.4 Hz had Ptotal of 9094 μW and Δf100 of 33.4 Hz.
Device 15 with a natural frequency of 101.5 Hz had Ptotal of 9164 μW and Δf100 of 28.9 Hz.
Device 16 with a natural frequency of 103.4 Hz had Ptotal of 8723 μW and Δf100 of 28.3 Hz.
Device 17 with a natural frequency of 111.7 Hz had Ptotal of 8073 μW and Δf100 of 26.9 Hz.
Device 18 with a natural frequency of 111.8 Hz had Ptotal of 8395 μW and Δf100 of 27.3 Hz.
Device 19 with a natural frequency of 113.4 Hz had Ptotal of 8709 μW and Δf100 of 26.3 Hz.
Device 20 with a natural frequency of 115.5 Hz had Ptotal of 8207 μW and Δf100 of 27.6 Hz.
Device 21 with a natural frequency of 122.7 Hz had Ptotal of 7513 μW and Δf100 of 25.7 Hz.
Table 2 collectively shows evaluation results of Devices 11 to 21.
Among the devices, in which fmin and fmax satisfy the conditions of Expressions 1 and 2, respectively, Devices 14 to 20 include three vibration energy harvesting elements with natural frequencies satisfying Expression 4. Each of these devices has a Pv/Pt ratio of 20% or higher, and thus more stably generates electric power. In addition, Devices 15 to 20, which satisfy Expression 5, a have Pv/Pt ratio of 25% or higher, and thus further more stably generate electric power.
Among the devices, in which fmin and fmax satisfy the conditions of Expressions 1 and 2, respectively, Devices 12 to 15 and 19 include three vibration energy harvesting elements with natural frequencies satisfying Expression 3. The total power generated is increased and the power generation efficiency is improved.
The power generation device according to the present disclosure achieves at least one of improved power generation efficiency and lower dependency of the amount of power generation on the frequency. The power generation device is thus useful as, for example, a power generation device that generates power by vibration.
Number | Date | Country | Kind |
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2017-015588 | Jan 2017 | JP | national |
Filing Document | Filing Date | Country | Kind |
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PCT/JP2017/040699 | 11/13/2017 | WO | 00 |