JP2022082718A - Vibration power generation element - Google Patents

Vibration power generation element Download PDF

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JP2022082718A
JP2022082718A JP2022063432A JP2022063432A JP2022082718A JP 2022082718 A JP2022082718 A JP 2022082718A JP 2022063432 A JP2022063432 A JP 2022063432A JP 2022063432 A JP2022063432 A JP 2022063432A JP 2022082718 A JP2022082718 A JP 2022082718A
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electrode
power generation
generation element
vibration
vibration power
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洋 年吉
Hiroshi Toshiyoshi
博之 藤田
Hiroyuki Fujita
久幸 芦澤
Hisayuki Ashizawa
裕幸 三屋
Hiroyuki Mitsuya
和徳 石橋
Kazunori Ishibashi
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University of Tokyo NUC
Saginomiya Seisakusho Inc
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University of Tokyo NUC
Saginomiya Seisakusho Inc
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Priority claimed from JP2021016368A external-priority patent/JP2021069280A/en
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Publication of JP2022082718A publication Critical patent/JP2022082718A/en
Priority to JP2023061567A priority patent/JP2023076648A/en
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Abstract

PROBLEM TO BE SOLVED: To provide is a vibration power generation element which increases power generation electromotive force without increasing a size of a vibration power generation element.
SOLUTION: A vibration power generation element includes: a first electrode; a second electrode that moves in a predetermined direction with respect to the first electrode; a third electrode; a fourth electrode that moves in a predetermined direction with respect to the third electrode; and a support part that supports the second electrode and the fourth electrode so as to be movable in the predetermined direction, in which the first electrode and the third electrode are arranged in a predetermined direction, at least one of facing surfaces of the first electrode and the second electrode and at least one of facing surfaces of the third electrode and the fourth electrode are charged, and the support part supports the second electrode and the fourth electrode in a state of keeping a balance of an electrostatic force by the first electrode and the second electrode and an electrostatic force by the third electrode and the fourth electrode in a predetermined direction.
SELECTED DRAWING: Figure 1
COPYRIGHT: (C)2022,JPO&INPIT

Description

本発明は、振動発電素子に関する。 The present invention relates to a vibration power generation element.

近年、環境中からエネルギーを収穫するエナジーハーベスティング技術の一つとして、振動発電素子(振動発電デバイス)を用いて環境振動から発電を行う手法が注目されている。こうした用途の振動発電素子では、小型で高い発電効率を得るために、エレクトレットによる静電力を利用することが提案されている。たとえば特許文献1には、軟X線を利用して、可動部と固定部にそれぞれ形成された櫛歯電極の垂直面にエレクトレットを形成した静電誘導型変換素子が開示されている。 In recent years, as one of the energy harvesting techniques for harvesting energy from the environment, a method of generating power from environmental vibration using a vibration power generation element (vibration power generation device) has attracted attention. It has been proposed to utilize the electrostatic force of the electlet in the vibration power generation element for such an application in order to obtain a small size and high power generation efficiency. For example, Patent Document 1 discloses an electrostatic induction type conversion element in which an electret is formed on a vertical surface of a comb tooth electrode formed on a movable portion and a fixed portion by using soft X-rays.

特許第5551914号明細書Japanese Patent No. 5551914

特許文献1に記載の静電誘導変換素子は、環境振動により可動部を所定方向に加振することで発電を行う。このとき、対向する櫛歯電極のエレクトレット面の重なり面積が変化することで、櫛歯電極間に働く静電力により力学的な仕事が静電エネルギーに変換され、起電力を発生することができる。しかし、より大きな起電力を得るためには、可動部の振動方向に余分なスペースが必要となり、静電誘導変換素子が大型化してしまうという問題がある。 The electrostatic induction conversion element described in Patent Document 1 generates electricity by vibrating a movable portion in a predetermined direction by environmental vibration. At this time, by changing the overlapping area of the electlet surfaces of the opposing comb tooth electrodes, the mechanical work is converted into electrostatic energy by the electrostatic force acting between the comb tooth electrodes, and an electromotive force can be generated. However, in order to obtain a larger electromotive force, an extra space is required in the vibration direction of the moving portion, and there is a problem that the electrostatic induction conversion element becomes large.

本発明の第1の態様によれば、振動発電素子は、第1の電極と、前記第1の電極に対して所定の方向に沿って移動する第2の電極と、第3の電極と、前記第3の電極に対して前記所定の方向に沿って移動する第4の電極と、前記第2の電極と前記第4の電極とを前記所定の方向に沿って移動可能に支持する支持部と、を備え、前記第1の電極と前記第3の電極とは、前記所定の方向に沿って配置され、前記第1の電極と前記第2の電極との対向面の少なくとも一方と、前記第3の電極と前記第4の電極との対向面の少なくとも一方とが所定の帯電電圧にて帯電され、これにより、前記支持部は、前記第1の電極と前記第2の電極による静電力と、前記第3の電極と前記第4の電極による静電力とが前記所定の方 向に沿って釣り合った状態で、前記第2の電極と前記第4の電極とを支持し、前記所定の帯電電圧は、前記第2の電極と前記第4の電極との移動による振動の振動中心位置を前記支持部の安定点位置に位置させる帯電電圧であり、力係数は、前記第1の電極または前記第2の電極の個数nと、真空の誘電率ε0と、前記第1の電極または前記第2の電極の厚さbと、前記帯電電圧V0と、前記第1の電極と前記第2の電極との間隔gとが、以下の式(1)を満たす値Aであり、
A=2nε0bV0/g …(1)
前記力係数の値Aは13.5[μC/m]以上である。
According to the first aspect of the present invention, the vibration power generation element includes a first electrode, a second electrode that moves along a predetermined direction with respect to the first electrode, and a third electrode. A support portion that movably supports a fourth electrode that moves along the predetermined direction with respect to the third electrode, and the second electrode and the fourth electrode that move along the predetermined direction. The first electrode and the third electrode are arranged along the predetermined direction, and at least one of the facing surfaces of the first electrode and the second electrode and the above. At least one of the facing surfaces of the third electrode and the fourth electrode is charged with a predetermined charging voltage, whereby the support portion is subjected to the electrostatic force of the first electrode and the second electrode. The second electrode and the fourth electrode are supported in a state where the electrostatic force of the third electrode and the fourth electrode is balanced along the predetermined direction, and the predetermined electrode is supported. The charging voltage is a charging voltage that positions the vibration center position of the vibration due to the movement between the second electrode and the fourth electrode at the stable point position of the support portion, and the force coefficient is the first electrode or the first electrode or The number n of the second electrodes, the dielectric constant ε 0 of the vacuum, the thickness b of the first electrode or the second electrode, the charging voltage V 0 , the first electrode and the first electrode. The distance g between the two electrodes and the electrode is a value A satisfying the following equation (1).
A = 2nε 0 bV 0 / g ... (1)
The value A of the force coefficient is 13.5 [μC / m] or more.

本発明によれば、振動発電素子を大型化することなく発電起電力を増加させることができる。 According to the present invention, it is possible to increase the generated electromotive force without increasing the size of the vibration power generation element.

本発明の一実施の形態による振動発電素子の概略構成を示す平面図である。It is a top view which shows the schematic structure of the vibration power generation element by one Embodiment of this invention. 実施の形態による振動発電素子の弾性支持部の構造を模式的に示す図である。It is a figure which shows typically the structure of the elastic support part of the vibration power generation element by embodiment. 図1に示す本実施の形態の振動発電素子の等価回路を示す図である。It is a figure which shows the equivalent circuit of the vibration power generation element of this embodiment shown in FIG. シミュレーションの結果を示す図である。It is a figure which shows the result of the simulation. 変形例における振動発電素子の構成を示す平面図である。It is a top view which shows the structure of the vibration power generation element in the modification. 変形例における振動発電素子の弾性支持部の構造を模式的に示す図である。It is a figure which shows typically the structure of the elastic support part of the vibration power generation element in the modification.

図面を参照して、本発明を実施するための形態について説明する。
図1は、本発明の一実施の形態に係る振動発電素子1の概略構成を示す平面図である。
振動発電素子1は、たとえばSOI(Silicon On Insulator)基板を用いて、一般的なMEMS加工技術により形成される。SOI基板は、たとえばハンドル層が形成される下部Si層と、BOX層が形成されるSiO2層と、デバイス層が形成される上部Si層とを重ねて構成されている。
振動発電素子1は、ベース2と、固定電極3aおよび3bと、可動電極4aおよび4bと、可動部5と、弾性支持部6とを備えている。振動発電素子1には、負荷9が接続されている。
なお、以下の説明では、図1に示すように設定したX軸、Y軸、Z軸からなる直交座標系を用いるものとする。
A mode for carrying out the present invention will be described with reference to the drawings.
FIG. 1 is a plan view showing a schematic configuration of a vibration power generation element 1 according to an embodiment of the present invention.
The vibration power generation element 1 is formed by a general MEMS processing technique using, for example, an SOI (Silicon On Insulator) substrate. The SOI substrate is composed of, for example, a lower Si layer on which a handle layer is formed, a SiO 2 layer on which a BOX layer is formed, and an upper Si layer on which a device layer is formed.
The vibration power generation element 1 includes a base 2, fixed electrodes 3a and 3b, movable electrodes 4a and 4b, a movable portion 5, and an elastic support portion 6. A load 9 is connected to the vibration power generation element 1.
In the following description, it is assumed that an orthogonal coordinate system consisting of an X-axis, a Y-axis, and a Z-axis set as shown in FIG. 1 is used.

可動部5は、後述する弾性支持部6によって移動可能に支持されている。可動部5は、X方向-側の端部に可動電極4aを有し、X方向+側の端部に可動電極4bを有する。
固定電極3a、3bおよび可動電極4a、4bは、それぞれ櫛歯構造を有している。固定電極3aには複数の櫛歯30aが形成され、可動電極4aには複数の櫛歯40aが形成されている。固定電極3aと可動電極4aとは、振動発電素子1のX方向-側にて櫛歯30aと櫛歯40aとが互いに歯合するように配置されている。同様に、固定電極3bには複数の櫛歯30bが形成され、可動電極4bには複数の櫛歯40bが形成されている。固定電極3bと可動電極4bとは、振動発電素子1のX方向+側にて櫛歯30bと櫛歯40bとが互いに歯合するように配置されている。
The movable portion 5 is movably supported by an elastic support portion 6 described later. The movable portion 5 has a movable electrode 4a at the end on the X direction − side and a movable electrode 4b at the end on the X direction + side.
The fixed electrodes 3a and 3b and the movable electrodes 4a and 4b each have a comb tooth structure. A plurality of comb teeth 30a are formed on the fixed electrode 3a, and a plurality of comb teeth 40a are formed on the movable electrode 4a. The fixed electrode 3a and the movable electrode 4a are arranged so that the comb teeth 30a and the comb teeth 40a mesh with each other on the X-direction-side of the vibration power generation element 1. Similarly, a plurality of comb teeth 30b are formed on the fixed electrode 3b, and a plurality of comb teeth 40b are formed on the movable electrode 4b. The fixed electrode 3b and the movable electrode 4b are arranged so that the comb teeth 30b and the comb teeth 40b mesh with each other on the X direction + side of the vibration power generation element 1.

上述したように、固定電極3a、3bは固定櫛歯電極を構成し、可動電極4a、4bは可動櫛歯電極を構成している。櫛歯電極とは、図1の固定電極3a、3bや可動電極4a、4bのように、複数の櫛歯を並列配置したものである。なお、本発明における櫛歯の本数は図1に示したものに限定されない。櫛歯の本数が最小である場合の櫛歯電極は、固定櫛歯電極および可動櫛歯電極の一方の電極に2つの櫛歯が形成され、その2つの櫛歯の間に挿入されるように他方の電極に1つの櫛歯が形成されている。このような基本構成を有する櫛歯電極であれば、櫛歯の本数に関わらず、以下に記載のような機能を有する振動発電素子を構成することができる。 As described above, the fixed electrodes 3a and 3b form a fixed comb tooth electrode, and the movable electrodes 4a and 4b form a movable comb tooth electrode. The comb tooth electrode is a device in which a plurality of comb teeth are arranged in parallel, such as the fixed electrodes 3a and 3b and the movable electrodes 4a and 4b in FIG. The number of comb teeth in the present invention is not limited to that shown in FIG. When the number of comb teeth is the minimum, the comb tooth electrode has two comb teeth formed on one of the fixed comb tooth electrode and the movable comb tooth electrode, and is inserted between the two comb teeth. One comb tooth is formed on the other electrode. With the comb tooth electrode having such a basic configuration, a vibration power generation element having the functions as described below can be configured regardless of the number of comb teeth.

弾性支持部6によってベース2に弾性支持された可動部5は、可動電極4a、4bと一体に、X方向にスライド移動することができる。可動部5をX方向にスライド移動させるため、弾性支持部6は、X方向へのばね定数kが小さく、Y方向およびZ方向のばね定数が大きい。 The movable portion 5 elastically supported by the base 2 by the elastic support portion 6 can slide and move in the X direction integrally with the movable electrodes 4a and 4b. Since the movable portion 5 is slid and moved in the X direction, the elastic support portion 6 has a small spring constant k in the X direction and a large spring constant in the Y direction and the Z direction.

図2は、図1に破線で囲んで示す領域100に含まれる構造を模式的に示す図である。図2に示す例では、弾性支持部6は、Y方向に沿って延在する平板形状を有する。弾性支持部6は、平板形状のY方向の一方の端部側でベース2に接続し、他方の端部側で可動部5に接続する。平板形状の弾性支持部6では、X方向の厚み(長さ)は、Z方向の厚み(長さ)よりも短い。弾性支持部6のY方向の長さは、X方向の厚み(長さ)よりも長い。すなわち、弾性支持部6は、X方向の剛性は、Y方向およびZ方向の剛性と比較して小さい。したがって、弾性支持部6は、可動部5に対するX方向への支持剛性が、Y方向およびZ方向への支持剛性よりも小さいので、可動部5はX方向にスライド移動する。
なお、弾性支持部6は、図2に示すように、1個の平板形状の部材により形成されるものに限定されず、複数個の平板形状の部材により形成されてもよい。弾性支持部6として、たとえば特許5551914号明細書に記載された構造を適用することもできる。
また、弾性支持部6は平板形状であるもの、すなわちZX平面での断面が矩形であるものに限定されず、楕円形状や多角形状でもよい。この場合、弾性支持部6の断面のX方向の最大の長さがZ方向の長さよりも小さくなるように形成することにより、X方向の支持剛性を他の方向の支持剛性よりも小さくすることができる。
FIG. 2 is a diagram schematically showing a structure included in the region 100 surrounded by a broken line in FIG. 1. In the example shown in FIG. 2, the elastic support portion 6 has a flat plate shape extending along the Y direction. The elastic support portion 6 is connected to the base 2 on one end side in the Y direction of the flat plate shape, and is connected to the movable portion 5 on the other end side. In the flat plate-shaped elastic support portion 6, the thickness (length) in the X direction is shorter than the thickness (length) in the Z direction. The length of the elastic support portion 6 in the Y direction is longer than the thickness (length) in the X direction. That is, the rigidity of the elastic support portion 6 in the X direction is smaller than the rigidity in the Y direction and the Z direction. Therefore, since the support rigidity of the elastic support portion 6 in the X direction with respect to the movable portion 5 is smaller than the support rigidity in the Y direction and the Z direction, the movable portion 5 slides in the X direction.
As shown in FIG. 2, the elastic support portion 6 is not limited to that formed by one flat plate-shaped member, and may be formed by a plurality of flat plate-shaped members. As the elastic support portion 6, for example, the structure described in Japanese Patent No. 5551914 can be applied.
Further, the elastic support portion 6 is not limited to a flat plate shape, that is, a shape having a rectangular cross section in the ZX plane, and may be an elliptical shape or a polygonal shape. In this case, the support rigidity in the X direction is made smaller than the support rigidity in the other direction by forming the elastic support portion 6 so that the maximum length in the X direction of the cross section is smaller than the length in the Z direction. Can be done.

歯合している固定電極3aの櫛歯30aと可動電極4aの櫛歯40aとの少なくとも一方、および固定電極3bの櫛歯30bと可動電極4bの櫛歯40bとの少なくとも一方には、それぞれ対向面の表面近傍にエレクトレットが形成されている。これにより、固定電極3aおよび可動電極4aの対向面の少なくとも一方と、固定電極3bおよび可動電極4bの対向面の少なくとも一方とが、それぞれ帯電されている。本実施の形態では、固定電極3aおよび可動電極4aの対向面の少なくとも一方と、固定電極3bおよび可動電極4bの対向面の少なくとも一方とには、実質的に同一の帯電電圧にてエレクトレットが形成されている。これにより、可動部5のX方向-側端部に働くエレクトレットの静電力と、X方向+側端部に働くエレクトレットの静電力とが釣り合った状態となり弾性支持部6によって支持される。すなわち、可動部5がX方向に振動する際には、その振動中心位置が、弾性支持部6の安定点位置に位置する。なお、振動中心位置が弾性支持部6の安定点位置を基準として、試験等の結果によって設定された所定の許容範囲内に位置してもよい。
なお、帯電電圧は厳密に同一であるものに限定されず、上述したように可動部5に働く静電力が釣り合った状態、すなわち振動中心位置が弾性支持部6の安定点位置に位置することが実現できる帯電電力であればよい。また、エレクトレットを形成する方法の一例として、たとえば公知の特開2016-149914号公報に記載されているように、櫛歯構造表面に酸化膜を製膜し高温バイアス処理を施す方法等を用いることができる。もちろん上記の方法に限定されるものではなく、例えば特許5551914号明細書等に開示の各種の方法を適用させることができる。
At least one of the comb teeth 30a of the fixed electrode 3a and the comb teeth 40a of the movable electrode 4a that are in mesh with each other, and at least one of the comb teeth 30b of the fixed electrode 3b and the comb teeth 40b of the movable electrode 4b are opposed to each other. An electlet is formed near the surface of the surface. As a result, at least one of the facing surfaces of the fixed electrode 3a and the movable electrode 4a and at least one of the facing surfaces of the fixed electrode 3b and the movable electrode 4b are charged. In the present embodiment, electrets are formed on at least one of the facing surfaces of the fixed electrode 3a and the movable electrode 4a and at least one of the facing surfaces of the fixed electrode 3b and the movable electrode 4b at substantially the same charging voltage. Has been done. As a result, the electrostatic force of the electret acting on the X-direction-side end portion of the movable portion 5 and the electrostatic force of the electret acting on the X-direction + side end portion are in a balanced state and are supported by the elastic support portion 6. That is, when the movable portion 5 vibrates in the X direction, the vibration center position thereof is located at the stable point position of the elastic support portion 6. The vibration center position may be located within a predetermined allowable range set by the result of a test or the like with reference to the stable point position of the elastic support portion 6.
The charging voltage is not limited to exactly the same, and as described above, the electrostatic force acting on the movable portion 5 may be balanced, that is, the vibration center position may be located at the stable point position of the elastic support portion 6. Any charging power that can be realized is sufficient. Further, as an example of the method for forming the electret, for example, as described in Japanese Patent Application Laid-Open No. 2016-149914, a method of forming an oxide film on the surface of the comb tooth structure and applying a high temperature bias treatment is used. Can be done. Of course, the method is not limited to the above method, and various methods disclosed in, for example, Japanese Patent No. 5551914 can be applied.

負荷9は、たとえば電圧と符号とを整える電源コントローラの入力インピーダンス等であり、振動発電素子1から供給される電力を消費して所定の動作を行う。負荷9の正極側は固定電極3aに接続され、負極側は固定電極3bに電気的に接続される。なお、負荷9の負極側が固定電極3aに接続され、正極側が固定電極3bに電気的に接続されても良い。 The load 9 is, for example, the input impedance of a power supply controller that adjusts the voltage and the code, and consumes the electric power supplied from the vibration power generation element 1 to perform a predetermined operation. The positive electrode side of the load 9 is connected to the fixed electrode 3a, and the negative electrode side is electrically connected to the fixed electrode 3b. The negative electrode side of the load 9 may be connected to the fixed electrode 3a, and the positive electrode side may be electrically connected to the fixed electrode 3b.

環境中の振動によって振動発電素子1がX方向を含む方向に揺り動かされると、固定電極3a、3bに対して可動電極4a、4bがX方向に振動して変位する。たとえば可動電極4a、4bがX方向+側に向けて変位すると、固定電極3aと可動電極4aとの間の対向面積が減少し、固定電極3bと可動電極4bとの間の対向面積が増加する。このような対向面積の変化によってエレクトレットの誘導電荷が変化する。これにより、固定電極3a、3bと可動電極4a、4bとの間の電圧が変化して起電力が発生することで、振動発電素子1の発電が行われる。振動発電素子1の発電によって得られた起電力は、前述の電気的接続を介して負荷9に印加され、負荷9が駆動される。 When the vibration power generation element 1 is shaken in a direction including the X direction due to vibration in the environment, the movable electrodes 4a and 4b vibrate in the X direction with respect to the fixed electrodes 3a and 3b and are displaced. For example, when the movable electrodes 4a and 4b are displaced toward the + side in the X direction, the facing area between the fixed electrode 3a and the movable electrode 4a decreases, and the facing area between the fixed electrode 3b and the movable electrode 4b increases. .. Such a change in the facing area changes the induced charge of the electret. As a result, the voltage between the fixed electrodes 3a and 3b and the movable electrodes 4a and 4b changes to generate an electromotive force, so that the vibration power generation element 1 is generated. The electromotive force obtained by the power generation of the vibration power generation element 1 is applied to the load 9 via the above-mentioned electrical connection, and the load 9 is driven.

上記の構成を有する振動発電素子1の可動電極4a、4bの運動について説明する。
図3は、図1に示す振動発電素子1の構成に対応する等価回路図である。この等価回路を用いることにより、可動部5がX方向に沿って振動している場合の可動部5の運動方程式を以下の式(1)のように表すことができる。

Figure 2022082718000002
なお、mは可動部5の質量、Xは振動発電素子1内における可動部5の固定部(たとえば固定電極3a、3b)に対する相対変位、Xoutは振動発電素子1の外部振動の変位、rfは空気や機械の摩擦によるダンピング係数、VLおよびVRは固定電極3a、3bで発生する電圧、V0は固定電極3a、3bでのエレクトレット帯電電圧である。また、Aはエレクトレットによる強さの量を示す力係数であり、以下の式(2)により表すことができる。 The movement of the movable electrodes 4a and 4b of the vibration power generation element 1 having the above configuration will be described.
FIG. 3 is an equivalent circuit diagram corresponding to the configuration of the vibration power generation element 1 shown in FIG. By using this equivalent circuit, the equation of motion of the movable portion 5 when the movable portion 5 vibrates along the X direction can be expressed as the following equation (1).
Figure 2022082718000002
Note that m is the mass of the movable portion 5, X is the relative displacement of the movable portion 5 with respect to the fixed portion (for example, the fixed electrodes 3a and 3b) in the vibration power generation element 1, and X out is the displacement of the external vibration of the vibration power generation element 1. f is a damping coefficient due to friction of air or a machine, VL and V R are voltages generated at fixed electrodes 3a and 3b, and V 0 is an electlet charging voltage at fixed electrodes 3a and 3b. Further, A is a force coefficient indicating the amount of strength due to the electret, and can be expressed by the following equation (2).

A=2nε0bV0/g …(2)
なお、nは櫛歯30aまたは40aの歯数、ε0は真空の誘電率、bは櫛歯30a、40aの厚さ(Z方向の長さ)、V0はエレクトレット帯電電圧、gは櫛歯30aおよび櫛歯40a間の間隔である。力係数Aの値を変更する、すなわちエレクトレットによる効果の強さを変更するためには、式(2)に示す、櫛歯30aおよび40a間の間隔gと、エレクトレット帯電電圧V0との少なくとも一方を変更すれば良い。たとえば、間隔gを小さくする、または、帯電電圧V0を大きくする、またはその両方を行うことにより、力係数Aを大きな値に変更することができる。
A = 2nε 0 bV 0 / g ... (2)
Note that n is the number of teeth of the comb teeth 30a or 40a, ε 0 is the dielectric constant of the vacuum, b is the thickness of the comb teeth 30a and 40a (length in the Z direction), V 0 is the electlet charging voltage, and g is the comb tooth. The distance between 30a and the comb teeth 40a. In order to change the value of the force coefficient A, that is, to change the strength of the effect of the electret, at least one of the interval g between the comb teeth 30a and 40a and the electret charging voltage V 0 shown in the equation (2). Should be changed. For example, the force coefficient A can be changed to a large value by reducing the interval g, increasing the charging voltage V 0 , or both.

式(1)の右辺の第1項は振動発電素子1の外部振動が可動部5に作用する力、第2項は弾性支持部6によって可動部5に作用する弾性力、第3項は空気や機械摩擦等が可動部5に作用する力を表している。第4項は可動電極4aに作用する静電力、第5項は可動電極4bに作用する静電力を表している。この式(1)を、負荷9の値を以下の式(3)で示す最適値Rに設定し、外部振動が正弦波でありその周波数が可動部5の共振周波数近傍であるという条件の下で近似して変形することにより、式(4)が得られる。 The first term on the right side of the equation (1) is the force that the external vibration of the vibration power generation element 1 acts on the movable portion 5, the second term is the elastic force that acts on the movable portion 5 by the elastic support portion 6, and the third term is air. It represents the force exerted on the movable portion 5 by mechanical friction and the like. The fourth term represents the electrostatic force acting on the movable electrode 4a, and the fifth term represents the electrostatic force acting on the movable electrode 4b. This equation (1) is set under the condition that the value of the load 9 is set to the optimum value R shown by the following equation (3), the external vibration is a sine wave, and the frequency is close to the resonance frequency of the movable portion 5. Eq. (4) can be obtained by approximating and transforming with.

R=2/(C0ω0) …(3)

Figure 2022082718000003
なお、C0は可動電極4aまたは4bの静電容量であり、ω0は可動部5の共振角振動数、すなわち可動電極4aまたは4bの共振角振動数である。静電容量C0は、固定電極と可動電極とが対向するときのX方向の長さをwとし、浮遊容量をC1として、C0=C1+(2nε0bw/g)のように表され、共振角振動数ω0は、ω0={(k+A2/C0)/m}1/2のように表される。式(3)は、固定電極および可動電極の静電容量と負荷9による放電との時定数が、可動部5の振動の時定数と一致する場合に、負荷9が有し得る抵抗値を最適値Rとして設定されていることを表す。 R = 2 / (C 0 ω 0 )… (3)
Figure 2022082718000003
Note that C 0 is the capacitance of the movable electrode 4a or 4b, and ω 0 is the resonance angular frequency of the movable portion 5, that is, the resonance angular frequency of the movable electrode 4a or 4b. Capacitance C 0 is such that C 0 = C 1 + (2nε 0 bw / g), where w is the length in the X direction when the fixed electrode and the movable electrode face each other, and C 1 is the floating capacitance. The resonance angle frequency ω 0 is expressed as ω 0 = {(k + A 2 / C 0 ) / m} 1/2 . Equation (3) optimizes the resistance value that the load 9 can have when the time constant between the capacitance of the fixed electrode and the movable electrode and the discharge due to the load 9 matches the time constant of the vibration of the movable portion 5. Indicates that the value R is set.

可動部5に作用する力は、式(4)の右辺に示すように、外部振動からの力と、右辺第2項のエレクトレットによるハードスプリング効果による力(以下、ハードスプリング項と呼ぶ)と、右辺第3項の電気的なダンピング効果による力(以下、電気的ダンピング項と呼ぶ)とに分類できる。式(2)で示した力係数Aを変更すると、ハードスプリング項(k+A2/C0)の値と電気的ダンピング項(rf+A2/(C0ω0))の値とを変更することが可能である。上述したように、櫛歯30aおよび40a間の間隔gと、エレクトレット帯電電圧V0との少なくとも一方を変更すれば力係数Aを変更できる。したがって、櫛歯30aおよび40a間の間隔gと、エレクトレット帯電電圧V0との少なくとも一方を変更することにより、ハードスプリング項の値と電気的ダンピング項の値とを変更することができる。 As shown on the right side of the equation (4), the force acting on the movable part 5 is the force from the external vibration and the force due to the hard spring effect by the electric of the second term on the right side (hereinafter referred to as the hard spring term). It can be classified into the force due to the electrical damping effect of the third term on the right side (hereinafter referred to as the electrical damping term). When the force coefficient A shown in the equation (2) is changed, the value of the hard spring term (k + A 2 / C 0 ) and the value of the electrical damping term ( rf + A 2 / (C 0 ω 0 )) are changed. It is possible. As described above, the force coefficient A can be changed by changing at least one of the distance g between the comb teeth 30a and 40a and the electret charging voltage V 0 . Therefore, the value of the hard spring term and the value of the electrical damping term can be changed by changing at least one of the distance g between the comb teeth 30a and 40a and the electret charging voltage V 0 .

式(4)に含まれる電気的ダンピング項は可動部5の振動のバンド幅に依存する。力係数Aを変更して電気的ダンピング項を変更することにより、可動部5の振動周波数応答性の共振Q値を任意の値に設定することができる。全体のQ値は、機械的なダンピングによるQ値をQMとし、電気的なダンピングによるQ値をQeとして、以下の式(5)により表される。

Figure 2022082718000004
式(5)に示すように、力係数Aを大きな値に設定すると、Q値を低い値に下げることが可能になる。Q値が低い値であるほど共振のピークがなだらかとなり、可動部5の共振周波数と外部振動の周波数のマッチングを容易にすることができる。すなわち、振動発電素子1内部を高真空にしなくても、広い帯域において、加わった外部振動に対して可動部5が共振をして発電が行われ、固定電極3a、3bから電力が出力される。 The electrical damping term included in equation (4) depends on the vibration bandwidth of the movable portion 5. By changing the force coefficient A and changing the electrical damping term, the resonance Q value of the vibration frequency response of the movable portion 5 can be set to an arbitrary value. The total Q value is expressed by the following equation (5), where the Q value due to mechanical damping is Q M and the Q value due to electrical damping is Q e .
Figure 2022082718000004
As shown in the equation (5), when the force coefficient A is set to a large value, the Q value can be lowered to a low value. The lower the Q value, the smoother the peak of resonance, and it is possible to facilitate matching between the resonance frequency of the movable portion 5 and the frequency of external vibration. That is, even if the inside of the vibration power generation element 1 is not made into a high vacuum, the movable portion 5 resonates with the applied external vibration to generate electric power in a wide band, and the electric power is output from the fixed electrodes 3a and 3b. ..

この場合、固定電極3a、3bからの出力電力Pは、以下の式(6)により表される。

Figure 2022082718000005
力係数Aの値を大きくする程、上記式(6)のうち発電効率EHである{1/(1+C0k/(A2M))}の値は1に近い値になり、機械的ダンピングの影響を無視することが可能となる。すなわち、力係数Aの値を大きな値に設定することにより、機械的ダンピングを増加させることなくQ値を低い値に設定でき、機械的ダンピングの増加による損失を抑制して発電特性を向上させることができる。本実施の形態の場合では、力係数Aの値を大きく設定することにより、電気的ダンピングによる効果を機械的ダンピングによる効果に対して上回る構成とすることができるので、振動発電素子1による発電効率を大きくさせることができる。 In this case, the output power P from the fixed electrodes 3a and 3b is expressed by the following equation (6).
Figure 2022082718000005
As the value of the force coefficient A increases, the value of {1 / (1 + C 0 k / (A 2 Q M ))}, which is the power generation efficiency E H in the above equation (6), becomes closer to 1, and the machine It is possible to ignore the effect of target damping. That is, by setting the value of the force coefficient A to a large value, the Q value can be set to a low value without increasing the mechanical damping, and the loss due to the increase in the mechanical damping can be suppressed to improve the power generation characteristics. Can be done. In the case of the present embodiment, by setting a large value of the force coefficient A, the effect of the electric damping can be exceeded by the effect of the mechanical damping, so that the power generation efficiency by the vibration power generation element 1 can be obtained. Can be increased.

式(4)のハードスプリング項は共振周波数に依存する。力係数Aを変更してハードスプリング項を変更することにより、可動部5の共振周波数を変更することができる。一般的に可動部5の共振周波数は、機械的な質量と弾性支持部6のばね定数kとにより決まる。これに対して、本実施の形態の振動発電素子1では、エレクトレットの静電力によるハードスプリング効果が発生するので、帯電電圧V0を調整することにより力係数Aを調整して、共振周波数を変更することができる。これにより、外部振動の周波数に適した共振周波数に変更可能な振動発電素子1を製造することができる。 The hard spring term in equation (4) depends on the resonance frequency. By changing the force coefficient A and changing the hard spring term, the resonance frequency of the movable portion 5 can be changed. Generally, the resonance frequency of the movable portion 5 is determined by the mechanical mass and the spring constant k of the elastic support portion 6. On the other hand, in the vibration power generation element 1 of the present embodiment, since the hard spring effect is generated by the electrostatic force of the electlet, the force coefficient A is adjusted by adjusting the charging voltage V 0 to change the resonance frequency. can do. This makes it possible to manufacture the vibration power generation element 1 that can be changed to a resonance frequency suitable for the frequency of external vibration.

図4は、振動発電素子1に対するシミュレーションの結果を示す図である。シミュレーションにおいては、機械的ダンピングを無いものとし(すなわちrf=0)、負荷9の値を式(3)に示す最適値Rとし、振動発電素子1に正弦波振動を与え、可動部5の最大振幅を200[μm]とした。図4では、縦軸を出力電力[μW]、横軸を周波数[Hz]とし、後述する第1の条件における周波数と出力電力との関係をグラフL1で示し、後述する第2の条件における周波数と出力電力との関係をグラフL2で示す。 FIG. 4 is a diagram showing the results of simulation for the vibration power generation element 1. In the simulation, it is assumed that there is no mechanical damping (that is, r f = 0), the value of the load 9 is set to the optimum value R shown in the equation (3), the vibration power generation element 1 is subjected to sinusoidal vibration, and the movable portion 5 is subjected to the sinusoidal vibration. The maximum amplitude was set to 200 [μm]. In FIG. 4, the vertical axis is the output power [μW] and the horizontal axis is the frequency [Hz], and the relationship between the frequency and the output power under the first condition described later is shown by the graph L1 and the frequency under the second condition described later. The relationship between the frequency and the output power is shown by graph L2.

第1の条件は以下の通りである。
エレクトレット帯電電圧V0=300[V]。
力係数A=13.5[μC/m]。
負荷9の最適値R=18.37[MΩ]。
加速度24.6[m/s2]。
Q値=7.9。
The first condition is as follows.
Electret charging voltage V 0 = 300 [V].
Force coefficient A = 13.5 [μC / m].
Optimal value of load 9 R = 18.37 [MΩ].
Acceleration 24.6 [m / s 2 ].
Q value = 7.9.

第2の条件は以下の通りである。
エレクトレット帯電電圧V0=50[V]。
力係数A=2.25[μC/m]。
負荷9の最適値R=19.62[MΩ]。
加速度0.685[m/s2]。
Q値=250。
The second condition is as follows.
Electret charging voltage V 0 = 50 [V].
Force coefficient A = 2.25 [μC / m].
Optimal value of load 9 R = 19.62 [MΩ].
Acceleration 0.685 [m / s 2 ].
Q value = 250.

上記の第1の条件では、第2の条件と比較して、力係数Aの値を大きな値に設定、すなわち式(5)に示すQ値を小さな値に設定している。図4に示すように、Q値が大きな第2の条件のグラフL2では、共振のピークが鋭い。グラフL2に示すように、共振周波数においては、小さな外部振動を受けても可動部5は最大振幅に到達するが、出力電力は小さくなる。これに対して、Q値が低い第1の条件のグラフL1では、上述したように、共振のピークがなだらかとなっている。グラフL1に示すように、比較的大きな外部振動を受けると可動部5は最大振幅に到達し、出力電力も大きくなる。また、グラフL1は、グラフL2と比較して、広い周波数帯域にて固定電極3a、3bが発電できることを示している。また、力係数Aが異なるグラフL1とL2とでは共振周波数が異なり、上述したハードスプリング効果により、グラフL1における共振周波数が上昇している。すなわち、上述したように、力係数Aを調整することにより、外部振動の周波数に適した共振周波数に変更することが可能となる。 In the first condition described above, the value of the force coefficient A is set to a large value, that is, the Q value shown in the equation (5) is set to a small value as compared with the second condition. As shown in FIG. 4, in the graph L2 under the second condition where the Q value is large, the peak of resonance is sharp. As shown in graph L2, at the resonance frequency, the movable portion 5 reaches the maximum amplitude even if it receives a small external vibration, but the output power becomes small. On the other hand, in the graph L1 of the first condition where the Q value is low, the peak of resonance is gentle as described above. As shown in graph L1, when a relatively large external vibration is received, the movable portion 5 reaches the maximum amplitude and the output power also increases. Further, the graph L1 shows that the fixed electrodes 3a and 3b can generate electricity in a wider frequency band as compared with the graph L2. Further, the resonance frequencies are different between the graphs L1 and L2 having different force coefficients A, and the resonance frequency in the graph L1 is increased due to the above-mentioned hard spring effect. That is, as described above, by adjusting the force coefficient A, it is possible to change to a resonance frequency suitable for the frequency of external vibration.

上述した実施の形態によれば、次の作用効果が得られる。
(1)固定電極3aと可動電極4aの対向面の少なくとも一方と、固定電極3bと可動電極4bとの対向面の少なくとも一方とが帯電される。弾性支持部6は、固定電極3aと可動電極4aとによる静電力と、固定電極3bと可動電極4bとによる静電力とがX方向に沿って釣り合った状態で、可動電極4a、4bを支持する。
本実施の形態においては、上述したシミュレーションの第1の条件の場合のように、力係数Aを大きな値に設定している。すなわち、式(2)におけるエレクトレット帯電電圧V0を大きな値にし、櫛歯30aと櫛歯40aとの間隔gが小さくなるように振動発電素子1を作成する。
According to the above-described embodiment, the following effects can be obtained.
(1) At least one of the facing surfaces of the fixed electrode 3a and the movable electrode 4a and at least one of the facing surfaces of the fixed electrode 3b and the movable electrode 4b are charged. The elastic support portion 6 supports the movable electrodes 4a and 4b in a state where the electrostatic force of the fixed electrode 3a and the movable electrode 4a and the electrostatic force of the fixed electrode 3b and the movable electrode 4b are balanced along the X direction. ..
In the present embodiment, the force coefficient A is set to a large value as in the case of the first condition of the simulation described above. That is, the vibration power generation element 1 is created so that the electlet charging voltage V 0 in the equation (2) is set to a large value and the distance g between the comb teeth 30a and the comb teeth 40a is small.

一般に、エレクトレット帯電電圧V0を大きな値にすると、静電力も大きくなる。たとえば特開2016-149914号公報に開示されているような構成を有する振動素子においては、静電力が大きくなると可動櫛歯電極のX方向への移動量も大きくなる。このため、可動櫛歯電極の移動のためにX方向にスペースが必要となる。また、弾性支持部の撓む量も大きくなり弾性支持部が破損する虞があるため、大きく撓んだ弾性支持部の破損を防ぐための構成が必要となる。そのため、振動素子の形状をY方向にも大きなものとする必要がある。 Generally, when the electret charging voltage V 0 is set to a large value, the electrostatic force also increases. For example, in a vibrating element having a configuration as disclosed in Japanese Patent Application Laid-Open No. 2016-149914, the amount of movement of the movable comb tooth electrode in the X direction increases as the electrostatic force increases. Therefore, a space is required in the X direction for the movement of the movable comb tooth electrode. Further, since the amount of bending of the elastic support portion becomes large and the elastic support portion may be damaged, a configuration for preventing the large bending elastic support portion from being damaged is required. Therefore, it is necessary to make the shape of the vibrating element large in the Y direction as well.

これに対して本実施の形態の振動発電素子1では、静電力が釣り合った状態で可動部5が弾性支持部6に支持されている。すなわち、可動部5が振動中であっても、振動中心位置が安定点位置に位置するので、X方向にスペースを設ける必要もなく、弾性支持部6の破損を防ぐための構成も不要となる。これにより、力係数Aの値を大きくして、振動発電素子1のサイズを大きくすることなく発電量を増やすことができる。換言すると、同一サイズの従来技術の振動素子と比較して発電量の大きな振動発電素子1とすることが可能である。
また、静電力が釣り合った状態で可動部5が弾性支持部6に支持されていることにより、加振によって可動部5に作用する力がエレクトレットの静電力に応じた所定の力を超えない場合でも、可動部5は、振動中心位置において、微小な外部振動によって振動を開始することができる。特に、外部振動が共振周波数と一致している場合には、可動部5を共振によって大きく振動させることが可能になる。すなわち、振動発電素子1に加わる外部振動が微小な場合であっても発電を行うことが可能になる。
また、従来の発電素子がインパルス状の環境振動に対応するものであるのに対し、本実施の形態の振動発電素子1は微弱な正弦波的な環境振動、たとえば、ポンプやファン等の微弱振動をも検出できる。この場合の周波数は負荷によって変動するので、ワイドバンドな特性を有する本実施の形態の振動発電素子1を好適に用いることができる。
On the other hand, in the vibration power generation element 1 of the present embodiment, the movable portion 5 is supported by the elastic support portion 6 in a state where the electrostatic forces are balanced. That is, even if the movable portion 5 is vibrating, the vibration center position is located at the stable point position, so that it is not necessary to provide a space in the X direction and a configuration for preventing damage to the elastic support portion 6 is not required. .. As a result, the value of the force coefficient A can be increased to increase the amount of power generation without increasing the size of the vibration power generation element 1. In other words, it is possible to obtain a vibration power generation element 1 having a large amount of power generation as compared with a conventional vibration element of the same size.
Further, when the movable portion 5 is supported by the elastic support portion 6 in a state where the electrostatic force is balanced, the force acting on the movable portion 5 by vibration does not exceed a predetermined force according to the electrostatic force of the electlet. However, the movable portion 5 can start vibration by a minute external vibration at the vibration center position. In particular, when the external vibration matches the resonance frequency, the movable portion 5 can be vibrated greatly by resonance. That is, it is possible to generate power even when the external vibration applied to the vibration power generation element 1 is minute.
Further, while the conventional power generation element corresponds to the impulse-like environmental vibration, the vibration power generation element 1 of the present embodiment has a weak sinusoidal environmental vibration, for example, a weak vibration of a pump, a fan, or the like. Can also be detected. Since the frequency in this case fluctuates depending on the load, the vibration power generation element 1 of the present embodiment having wide band characteristics can be preferably used.

また、静電力が釣り合った状態で可動部5が弾性支持部6に支持されているので、エレクトレット帯電電圧V0を大きな値にすることができ、これにより、機械的エネルギーから電気的エネルギーへの変換速度が大きな振動発電素子1を製造することが可能になる。エレクトレット帯電電圧V0を大きくできることにより、上述した式(2)に示す力係数Aを大きな値として、機械的ダンピングを増加させることなく、式(5)に示すようにQ値を下げることが可能となる。これにより、図4のグラフL1に示すようなワイドバンドな特性の振動発電素子1を実現できるので、振動発電素子1の共振周波数と外部振動の周波数のマッチングを容易にし、発電効率を向上させることができる。
また、エレクトレット帯電電圧V0を調整して、力係数Aの値を変更することにより、外部振動の周波数に合わせた共振周波数を有する振動発電素子1を製造することができる。
Further, since the movable portion 5 is supported by the elastic support portion 6 in a state where the electrostatic force is balanced, the electlet charging voltage V 0 can be made a large value, thereby changing from mechanical energy to electrical energy. It becomes possible to manufacture the vibration power generation element 1 having a high conversion speed. By increasing the electret charging voltage V 0 , it is possible to set the force coefficient A shown in the above equation (2) as a large value and decrease the Q value as shown in the equation (5) without increasing the mechanical damping. Will be. As a result, the vibration power generation element 1 having wide band characteristics as shown in the graph L1 of FIG. 4 can be realized, so that the matching of the resonance frequency of the vibration power generation element 1 and the frequency of the external vibration can be facilitated, and the power generation efficiency can be improved. Can be done.
Further, by adjusting the electlet charging voltage V 0 and changing the value of the force coefficient A, it is possible to manufacture the vibration power generation element 1 having a resonance frequency matched to the frequency of the external vibration.

(2)可動電極4a、4bを支持する弾性支持部6が有する支持剛性のうち、X方向に沿った支持剛性はX方向とは異なる方向(たとえばY方向、Z方向)に沿った支持剛性よりも小さい。これにより、弾性支持部6は、可動部5をX方向にスライド移動させ、可動部5の振動中心位置をばねの安定点位置で動かすことなく振動可能に支持することができる。 (2) Of the support rigidity of the elastic support portion 6 that supports the movable electrodes 4a and 4b, the support rigidity along the X direction is higher than the support rigidity along the direction different from the X direction (for example, the Y direction and the Z direction). Is also small. As a result, the elastic support portion 6 can slide the movable portion 5 in the X direction and vibrately support the movable portion 5 without moving the vibration center position of the movable portion 5 at the stable point position of the spring.

(3)負荷9は、固定電極3a、3bに接続され、固定電極3aと可動電極4aとの相対的な変位により変化した静電容量による発電と、固定電極3bと可動電極4bとの相対的な変位により変化した静電容量による発電とから得られる電力によって駆動する。これにより、本実施の形態の振動発電素子1は、たとえば特開2016-149914号公報の発電素子のような構成を有する場合と比較して、固定電極3a、3bから合わせて2倍の電力を得られる。したがって、振動発電素子1のサイズを大きくすることなく負荷9に供給する発電量を増やすことができる。換言すると、同一サイズの従来技術の振動素子と比較して発電量の大きな振動発電素子1とすることが可能である。 (3) The load 9 is connected to the fixed electrodes 3a and 3b, and power generation due to the capacitance changed by the relative displacement between the fixed electrode 3a and the movable electrode 4a and the relative of the fixed electrode 3b and the movable electrode 4b. It is driven by the power obtained from the power generation due to the capacitance changed by the displacement. As a result, the vibration power generation element 1 of the present embodiment receives twice as much electric power in total from the fixed electrodes 3a and 3b as compared with the case where the vibration power generation element 1 of the present embodiment has a configuration such as the power generation element of JP-A-2016-149914. can get. Therefore, the amount of power generated to the load 9 can be increased without increasing the size of the vibration power generation element 1. In other words, it is possible to obtain a vibration power generation element 1 having a large amount of power generation as compared with a conventional vibration element of the same size.

本発明による振動発電素子の構造は、上述した実施の形態で説明したものに限定されない。たとえば図1においては、固定電極3aの複数の櫛歯30aのそれぞれと固定電極3bの複数の櫛歯30bのそれぞれとは、X方向に沿って形成される場合を例に挙げていたが、これに限定されない。 The structure of the vibration power generation element according to the present invention is not limited to that described in the above-described embodiment. For example, in FIG. 1, each of the plurality of comb teeth 30a of the fixed electrode 3a and each of the plurality of comb teeth 30b of the fixed electrode 3b are formed along the X direction as an example. Not limited to.

また、図1に示す実施の形態で説明した振動発電素子1では、可動部5をY方向+側とY方向-側の2箇所にて弾性支持部6が支持したが、3箇所以上にて弾性支持部6に支持されてもよい。たとえば、図5のXY平面においては、可動部5が4箇所にて弾性支持部6に支持される場合を例に示す。この場合、可動部5は、X方向+側の端部近傍にて、Y方向+側から第1の弾性支持部61に支持され、Y方向-側から第2の弾性支持部62に支持される。可動部5は、X方向-側の端部近傍にて、Y方向+側から第3の弾性支持部63に支持され、Y方向-側から第4の弾性支持部64に支持される。 Further, in the vibration power generation element 1 described in the embodiment shown in FIG. 1, the elastic support portion 6 supports the movable portion 5 at two locations, the Y direction + side and the Y direction − side, but at three or more locations. It may be supported by the elastic support portion 6. For example, in the XY plane of FIG. 5, the case where the movable portion 5 is supported by the elastic support portion 6 at four points is shown as an example. In this case, the movable portion 5 is supported by the first elastic support portion 61 from the Y direction + side and is supported by the second elastic support portion 62 from the Y direction − side near the end portion on the X direction + side. To. The movable portion 5 is supported by the third elastic support portion 63 from the Y direction + side and is supported by the fourth elastic support portion 64 from the Y direction − side in the vicinity of the end portion on the X direction − side.

また、実施の形態で説明した振動発電素子1では、弾性支持部6の断面形状によりX方向の支持剛性を小さくするものを一例として挙げたが、これに限定されない。たとえば、振動発電素子1は、Y方向に沿って延在する弾性支持部6がZ方向に沿って、複数個配置される構成とすることができる。この場合の構造の一例を図6に示す。図6は、図2と同様に、図1における領域100に含まれる構造を模式的に示す図である。図6に示す例では、振動発電素子1は、Y方向に沿って延在する2個の板状の弾性支持部6(以後、上部弾性支持部611、下部弾性支持部612と呼ぶ)を備える。上部弾性支持部611および下部弾性支持部612は、Y方向の一方の端部側でベース2に接続し、他方の端部側で可動部5に接続する。この場合、上部弾性支持部611と下部弾性支持部612とは、Z方向に沿って配置される。これにより、Z方向には2個の弾性支持部6による剛性が働くことになる。したがって、振動発電素子1では、X方向の支持剛性を、他の方向の支持剛性よりも小さくすることができる。なお、振動発電素子1は、上部弾性支持部611および下部弾性支持部612の2個の弾性支持部6を有するものに限定されず、3個以上の弾性支持部6を有しても良い。 Further, in the vibration power generation element 1 described in the embodiment, the one in which the support rigidity in the X direction is reduced by the cross-sectional shape of the elastic support portion 6 is given as an example, but the present invention is not limited to this. For example, the vibration power generation element 1 may be configured such that a plurality of elastic support portions 6 extending along the Y direction are arranged along the Z direction. An example of the structure in this case is shown in FIG. FIG. 6 is a diagram schematically showing a structure included in the region 100 in FIG. 1, similarly to FIG. 2. In the example shown in FIG. 6, the vibration power generation element 1 includes two plate-shaped elastic support portions 6 (hereinafter referred to as upper elastic support portion 611 and lower elastic support portion 612) extending along the Y direction. .. The upper elastic support portion 611 and the lower elastic support portion 612 are connected to the base 2 on one end side in the Y direction and to the movable portion 5 on the other end side. In this case, the upper elastic support portion 611 and the lower elastic support portion 612 are arranged along the Z direction. As a result, the rigidity of the two elastic support portions 6 acts in the Z direction. Therefore, in the vibration power generation element 1, the support rigidity in the X direction can be made smaller than the support rigidity in the other directions. The vibration power generation element 1 is not limited to having two elastic support portions 6 of an upper elastic support portion 611 and a lower elastic support portion 612, and may have three or more elastic support portions 6.

また、弾性支持部6を板状の部材にて構成する場合に限定されない。たとえば、可動部5をコイルバネにより支持してもよい。このとき、可動部5はX方向とY方向とZ方向とのそれぞれの方向において、コイルバネを介してベース2と接続される。このとき、Y方向およびZ方向に接続されるコイルバネのばね定数を、X方向に接続されるコイルバネのばね定数よりも大きくすることにより、可動部5のX方向への支持剛性を小さくすることができる。この場合、たとえば、可動部5のY方向およびZ方向に接続されるコイルバネの個数を、X方向に接続されるコイルバネの個数よりも多くすればよい。 Further, the case is not limited to the case where the elastic support portion 6 is composed of a plate-shaped member. For example, the movable portion 5 may be supported by a coil spring. At this time, the movable portion 5 is connected to the base 2 via a coil spring in each of the X direction, the Y direction, and the Z direction. At this time, by making the spring constant of the coil spring connected in the Y direction and the Z direction larger than the spring constant of the coil spring connected in the X direction, the support rigidity of the movable portion 5 in the X direction can be reduced. can. In this case, for example, the number of coil springs connected in the Y direction and the Z direction of the movable portion 5 may be larger than the number of coil springs connected in the X direction.

本発明の特徴を損なわない限り、本発明は上記実施の形態に限定されるものではなく、本発明の技術的思想の範囲内で考えられるその他の形態についても、本発明の範囲内に含まれる。 The present invention is not limited to the above-described embodiment as long as the features of the present invention are not impaired, and other embodiments considered within the scope of the technical idea of the present invention are also included within the scope of the present invention. ..

1…振動発電素子、2…ベース、3a、3b…固定電極、
4a、4b…可動電極、5…可動部、6…弾性支持部、
9…負荷、30a、30b…櫛歯、40a、40b…櫛歯
1 ... Vibration power generation element, 2 ... Base, 3a, 3b ... Fixed electrode,
4a, 4b ... Movable electrode, 5 ... Movable part, 6 ... Elastic support part,
9 ... Load, 30a, 30b ... Comb teeth, 40a, 40b ... Comb teeth

Claims (4)

第1の電極と、
前記第1の電極に対して所定の方向に沿って移動する第2の電極と、
第3の電極と、
前記第3の電極に対して前記所定の方向に沿って移動する第4の電極と、
前記第2の電極と前記第4の電極とを前記所定の方向に沿って移動可能に支持する支持部と、を備え、
前記第1の電極と前記第3の電極とは、前記所定の方向に沿って配置され、
前記第1の電極と前記第2の電極との対向面の少なくとも一方と、前記第3の電極と前記第4の電極との対向面の少なくとも一方とが所定の帯電電圧にて帯電され、これにより、前記支持部は、前記第1の電極と前記第2の電極による静電力と、前記第3の電極と前記第4の電極による静電力とが前記所定の方向に沿って釣り合った状態で、前記第2の電極と前記第4の電極とを支持し、
前記所定の帯電電圧は、前記第2の電極と前記第4の電極との移動による振動の振動中心位置を前記支持部の安定点位置に位置させる帯電電圧であり、
力係数は、前記第1の電極または前記第2の電極の個数nと、真空の誘電率ε0と、前記第1の電極または前記第2の電極の厚さbと、前記帯電電圧V0と、前記第1の電極と前記第2の電極との間隔gとが、以下の式(1)を満たす値Aであり、
A=2nε0bV0/g …(1)
前記力係数の値Aは13.5[μC/m]以上であることを特徴とする振動発電素子。
With the first electrode
A second electrode that moves in a predetermined direction with respect to the first electrode, and a second electrode.
With the third electrode
A fourth electrode that moves along the predetermined direction with respect to the third electrode, and a fourth electrode.
A support portion for movably supporting the second electrode and the fourth electrode along the predetermined direction is provided.
The first electrode and the third electrode are arranged along the predetermined direction.
At least one of the facing surfaces of the first electrode and the second electrode and at least one of the facing surfaces of the third electrode and the fourth electrode are charged with a predetermined charging voltage. As a result, the support portion is in a state where the electrostatic force of the first electrode and the second electrode and the electrostatic force of the third electrode and the fourth electrode are balanced along the predetermined direction. , Supporting the second electrode and the fourth electrode,
The predetermined charging voltage is a charging voltage that positions the vibration center position of the vibration due to the movement between the second electrode and the fourth electrode at the stable point position of the support portion.
The force coefficient includes the number n of the first electrode or the second electrode, the dielectric constant ε 0 of the vacuum, the thickness b of the first electrode or the second electrode, and the charging voltage V 0 . And the distance g between the first electrode and the second electrode are values A satisfying the following equation (1).
A = 2nε 0 bV 0 / g ... (1)
A vibration power generation element having a force coefficient value A of 13.5 [μC / m] or more.
請求項1に記載の振動発電素子において、
前記第2の電極と前記第4の電極とを支持する前記支持部が有する支持剛性のうち、前記所定の方向に沿った支持剛性は前記所定の方向とは異なる方向に沿った支持剛性よりも小さい振動発電素子。
In the vibration power generation element according to claim 1,
Of the support rigidity of the support portion that supports the second electrode and the fourth electrode, the support rigidity along the predetermined direction is higher than the support rigidity along a direction different from the predetermined direction. Small vibration power generation element.
請求項1また2に記載の振動発電素子において、
前記第1の電極と前記第3の電極とに接続された負荷をさらに備え、
前記負荷は、前記第1の電極と前記第2の電極との相対的な変位により変化した静電容量による発電と、前記第3の電極と前記第4の電極との相対的な変位により変化した静電容量による発電とから得られる電力によって駆動する振動発電素子。
In the vibration power generation element according to claim 1 or 2,
Further comprising a load connected to the first electrode and the third electrode.
The load changes due to the power generation due to the capacitance changed by the relative displacement between the first electrode and the second electrode and the relative displacement between the third electrode and the fourth electrode. A vibration power generation element driven by the electric power obtained from the electric power generated by the generated electrostatic capacity.
請求項3に記載の振動発電素子において、
前記負荷は、前記第2の電極または第4の電極における静電容量C0と、前記第2の電極または第4の電極の共振角振動数ω0とが以下の式(2)を満たす値Rを有する振動発電素子。
R=2/(C0ω0) …(2)
In the vibration power generation element according to claim 3,
The load is a value in which the capacitance C 0 in the second electrode or the fourth electrode and the resonance angular frequency ω 0 of the second electrode or the fourth electrode satisfy the following equation (2). Vibration power generation element having R.
R = 2 / (C 0 ω 0 )… (2)
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