CN104298890A - Installation dip angle compensation algorithm for molecular-electronic induction type accelerometer - Google Patents
Installation dip angle compensation algorithm for molecular-electronic induction type accelerometer Download PDFInfo
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- 230000006698 induction Effects 0.000 title claims abstract description 52
- 238000005442 molecular electronic Methods 0.000 title claims abstract description 46
- 238000009434 installation Methods 0.000 title claims abstract description 44
- 239000003792 electrolyte Substances 0.000 claims abstract description 35
- 238000006243 chemical reaction Methods 0.000 claims abstract description 15
- 230000000694 effects Effects 0.000 claims abstract description 9
- 150000002500 ions Chemical class 0.000 claims description 23
- 230000001133 acceleration Effects 0.000 claims description 8
- 238000013508 migration Methods 0.000 claims description 6
- 230000005012 migration Effects 0.000 claims description 6
- 238000003487 electrochemical reaction Methods 0.000 claims description 4
- 238000005259 measurement Methods 0.000 abstract description 12
- 238000009791 electrochemical migration reaction Methods 0.000 abstract 1
- 238000004088 simulation Methods 0.000 description 6
- 238000000034 method Methods 0.000 description 4
- 238000013178 mathematical model Methods 0.000 description 3
- 241001442234 Cosa Species 0.000 description 2
- 238000005094 computer simulation Methods 0.000 description 2
- 230000005284 excitation Effects 0.000 description 2
- 230000001413 cellular effect Effects 0.000 description 1
- 230000001939 inductive effect Effects 0.000 description 1
- 238000011900 installation process Methods 0.000 description 1
- 230000008092 positive effect Effects 0.000 description 1
- 230000035945 sensitivity Effects 0.000 description 1
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Abstract
The invention provides an installation dip angle compensation algorithm for a molecular-electronic induction type accelerometer and belongs to the field of measurement instruments. According to the installation dip angle compensation algorithm for the molecular-electronic induction type accelerometer, when the induction type accelerometer or speedometer conducts measurement obliquely, through dip angle compensation, the measurement accuracy is reached. Electrolyte motion of a reaction cavity is described through a Navier-Stokes equation, the ionic migration effect of an electrolyte is described through a Nernst-Plank equation, an ion concentration-current relationship of a sensitive element is described through a Butler-Volmer equation, and through the combination of the equations, the installation dip angle compensation algorithm for the molecular-electronic induction type accelerometer/speedometer is effectively modeled. By the adoption of the novel installation dip angle compensation algorithm for the molecular-electronic induction type accelerometer, compensation for influences of the installation dip angle on the molecular-electronic induction type accelerometer/speedometer is achieved effectively, the molecular-electronic induction type accelerometer/speedometer can work at any installation dip angle, and therefore vibration of an installation face is measured.
Description
Technical Field
The invention belongs to the field of measuring instruments.
Background
A molecular-electronic induction type accelerometer/velocimeter is a newly appeared accelerometer/velocimeter, which uses the ion migration effect of an electrolyte to realize the measurement of acceleration/velocity. In use, the inclination of the installation of the molecular-electronic induction type accelerometer, i.e. the non-perpendicularity to the installation surface, will directly affect the measurement thereof. At present, common installation inclination angle compensation algorithms are designed for electromechanical accelerometers/velocimeters and MEMS accelerometers/velocimeters based on an electromagnetic principle, are established based on inertial mass block structural models, are completely different from the working principle of molecular-electronic induction accelerometers/velocimeters, and cannot compensate installation inclination angles of the accelerometers/velocimeters.
Disclosure of Invention
The invention aims to provide an installation inclination angle compensation algorithm of a molecular-electronic induction type accelerometer, which can achieve the measurement accuracy by compensating the inclination angle when the induction type accelerometer/speedometer is used for measuring the inclination.
The method comprises the following steps:
a. the electrolyte movement of the reaction chamber is described by the Navier-Stokes equation:
wherein,is time;is the electrolyte density;is the electrolyte viscosity;acceleration excited by external vibration;
b. the ion migration effect of the electrolyte is described by the Nernst-Plank equation:
is the current density;,andis the conductivity of the ions in the electrolyte;,andrepresenting ions of the electrolyteConcentration;representing the potential difference between the cathode and the anode;is a velocity vector; f is a Faraday constant;is the gas constant;
c. the ion concentration-current relationship on the sensor is described by the Butler-Volmer equation:
wherein,is the electrode surface normal vector parameter;andis the reaction constant of the cathode and anode; n =1 is the number of charges of the dotted ion;is 0.5, which is the conversion coefficient of electrode electrons to charges.
U is the voltage applied between the cathode and the anode;is the equilibrium potential of the electrochemical reaction;
d. the installation inclination angle compensation algorithm of the molecule-electron induction type single-axis accelerometer/speedometer is effectively modeled through the combination of the above equations.
After a working principle model of the molecular-electronic induction type accelerometer/speedometer is fully researched, a novel inclination angle compensation algorithm for the molecular-electronic induction type accelerometer/speedometer is provided by combining the actual situation of the installation inclination angle of the molecular-electronic induction type accelerometer, and the influence of the installation inclination angle on the molecular-electronic induction type accelerometer/speedometer is effectively compensated by adopting the algorithm, so that the molecular-electronic induction type accelerometer/speedometer can work at any installation inclination angle, and the measurement of the vibration of the installation surface is realized.
Drawings
FIG. 1 is a typical structure of a molecular-electron inductive accelerometer/velocimeter of the present invention;
FIG. 2 is a schematic view of the actual installation of the molecular-electronic induction type accelerometer/velocimeter of the present invention;
FIG. 3 is a tilt angle compensation curve for the installation of the molecular-electronic induction type accelerometer of the present invention.
Detailed Description
The method comprises the following steps:
a. the electrolyte movement of the reaction chamber is described by the Navier-Stokes equation:
wherein,is time;is the electrolyte density;is the electrolyte viscosity;acceleration excited by external vibration;
b. the ion migration effect of the electrolyte is described by the Nernst-Plank equation:
is the current density;,andis the conductivity of the ions in the electrolyte;,andrepresents the concentration of each ion of the electrolyte;representing the potential difference between the cathode and the anode;is a velocity vector; f is a Faraday constant;is the gas constant;
c. the ion concentration-current relationship on the sensor is described by the Butler-Volmer equation:
wherein,is the electrode surface normal vector parameter;andis the reaction constant of the cathode and anode; n =1 is the number of charges of the dotted ion;is 0.5, which is the conversion coefficient of electrode electrons to charges.
U is the voltage applied between the cathode and the anode;is the equilibrium potential of the electrochemical reaction;
d. the installation inclination angle compensation algorithm of the molecule-electron induction type single-axis accelerometer/speedometer is effectively modeled through the combination of the above equations.
The technical scheme of the invention is realized as follows:
the typical structure of the molecular-electronic induction type accelerometer/velocimeter is shown in the above figure, and external vibration can affect the ion migration in the electrolyte, and the ion concentration change of the electrolyte in the reaction cavity is induced by the sensitive element, so that the measurement of the external vibration is realized.
The working principle model of the molecular-electronic induction type accelerometer/speedometer is as follows:
the electrolyte movement of the reaction chamber can be described by the Navier-Stokes equation:
wherein,is time;is the electrolyte density;is the electrolyte viscosity;acceleration excited by external vibration.
The ion migration effect of the electrolyte can be described by the Nernst-Plank equation:
is the current density;,andis the conductivity of the ions in the electrolyte;,andrepresents the concentration of each ion of the electrolyte;representing the potential difference between the cathode and the anode;is a velocity vector; f is a Faraday constant;is the gas constant.
The ion concentration-current relationship on the sensor can be described by the Butler-Volmer equation:
wherein,is the electrode surface normal vector parameter;andis the reaction constant of the cathode and anode; n =1 is the number of charges of the dotted ion;is 0.5, which is the conversion coefficient of electrode electrons to charges. U is between the cathode and the anodeThe applied voltage;is the equilibrium potential of the electrochemical reaction.
Therefore, the installation inclination angle (installation attitude) compensation algorithm of the molecular-electronic induction type single-axis accelerometer/speedometer can be effectively modeled through the combination of the above equations.
In the actual measurement process, the molecular-electronic induction type accelerometer/velocimeter is usually fixed on the mounting surface for measuring the vibration of the mounting surface in the normal direction thereof. During the installation process, an installation inclination angle, namely, a non-perpendicularity between the installation angle and the installation surface inevitably exists, and the measurement of the molecular-electronic induction type accelerometer/speedometer is influenced. The mounting tilt angle may be defined as the angle between the axis of sensitivity and the normal to the mounting surface, as shown in fig. 2.
According to the working principle model of the molecular-electronic induction type accelerometer/velocimeter, the installation inclination angle influences the vibration of the vibration surface acting on the molecular-electronic induction type accelerometer/velocimeter, further influences the change of the flow velocity field of the electrolyte, and finally influences the output of the molecular-electronic induction type accelerometer. In the above process, the installation tilt angle will not be to an acceleration that will only be excited for external vibrationsCause an influence on the flow velocity field of the electrolyteAnd other variables in the working principle model of the molecular-electronic induction type accelerometer/speedometer have no influence.
The effect of the installation tilt angle on the electrolyte flow rate field can be described by the Navier-Stokes equation:
wherein,is time;is the electrolyte density;is the electrolyte viscosity;acceleration excited by external vibration.
And acceleration of the safe inclination to external vibration excitationThis can be described by the following equation:
a’=a *cosA
wherein A is an installation inclination angle, a is vibration of the installation surface in the normal direction, and a' is external vibration excitation acting on the molecular-electronic induction type accelerometer/speedometer under the installation inclination angle A.
Because the equations are partial differential equations and are difficult to solve, the equations are solved through computer simulation by means of finite element analysis software. The simulation results are as follows:
computational simulation graph (fig. 3): excitation a' = a × cosA, where a is a constant (any constant value may be used) and a is an incremental change in tilt angle of 0-90 °, such as 0 °, 10 °, 20 ° … ° 90 °. And drawing a simulation graph of the flow velocity field at different angles, and drawing a relation curve of the inclination angle A-the flow velocity field V (the inclination angle A of the abscissa and the flow velocity V of the ordinate) according to the simulation graph.
Thus, the above mathematical model and simulation results can establish the effect of the installation tilt angle on the measurement of the molecular-electronic induction accelerometer/velocimeter: the effect of the tilt angle of installation on the molecular-electronic induction accelerometer/velocimeter acts on its electrolyte flow velocity field, which can be described by the Navier-Stokes equation. Through finite element analysis software simulation solving, a relation curve of the installation inclination angle to the output of the molecular-electronic induction type accelerometer/speedometer can be established, and the compensation of the installation inclination angle of the molecular-electronic induction type accelerometer/speedometer can be realized through the curve.
The invention has the positive effects that the installation inclination angle of the molecular-electronic induction type accelerometer/speedometer is effectively compensated based on the working principle model design of the molecular-electronic induction type accelerometer/speedometer, thereby ensuring that the molecular-electronic induction type accelerometer/speedometer can normally work under different installation inclination angles.
According to design indexes and requirements, determining single-cavity structure parameters of a molecular-electronic induction type accelerometer/speedometer;
according to the working principle model of the molecular-electronic induction type accelerometer/speedometer, establishing a mathematical model of the influence of the installation inclination angle on the measurement of the molecular-electronic induction type accelerometer;
simulating the mathematical model by using finite element analysis software to obtain a molecular-electronic induction type accelerometer/speedometer installation inclination angle compensation curve;
the inclination of the installation of the molecular-electronic induction type accelerometer/velocimeter is compensated by using the curve.
Example (c):
TABLE 11-300 Hz MOLECULE-ELECTRON INDUCTION TYPE geophone PERFORMANCE INDICATION
The design of the cellular porous cavity structure of the 1-300Hz molecular-electronic induction type velocity geophone (the detailed technical indexes are shown in Table 1):
the single-cavity structure of the 1-300Hz molecular-electronic induction type velocity geophone is shown in figure 1:
the structural parameters of the 1-300Hz molecular-electronic induction type velocity geophone are as follows:
the simulation parameters such as the size of a via hole, the concentration of electrolyte, the viscosity, the size of a reaction cavity and the like are given by a table;
through simulation, the obtained molecular-electronic induction type accelerometer/velocimeter is provided with an inclination angle compensation curve (figure 3).
Claims (2)
1. An installation inclination angle compensation algorithm of a molecular-electronic induction type accelerometer is characterized in that:
a. the electrolyte movement of the reaction chamber is described by the Navier-Stokes equation:
wherein,is time;is the electrolyte density;is the electrolyte viscosity;acceleration excited by external vibration;
b. the ion migration effect of the electrolyte is described by the Nernst-Plank equation:
is the current density；,Andis the conductivity of the ions in the electrolyte;,andrepresents the concentration of each ion of the electrolyte;representing the potential difference between the cathode and the anode;is a velocity vector; f is a Faraday constant;is the gas constant;
c. the ion concentration-current relationship on the sensor is described by the Butler-Volmer equation:
wherein,is the normal vector of the electrode surfaceA parameter;andis the reaction constant of the cathode and anode; n =1 is the number of charges of the dotted ion;is 0.5, which is the conversion coefficient of electrode electrons to charges.
U is the voltage applied between the cathode and the anode;is the equilibrium potential of the electrochemical reaction;
d. the installation inclination angle compensation algorithm of the molecule-electron induction type single-axis accelerometer/speedometer is effectively modeled through the combination of the above equations.
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| CN201410588369.9A CN104298890B (en) | 2014-10-29 | 2014-10-29 | The mounted angle compensation method of molecular electronic induction type accelerometer |
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| CN201410588369.9A CN104298890B (en) | 2014-10-29 | 2014-10-29 | The mounted angle compensation method of molecular electronic induction type accelerometer |
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Cited By (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN104793013A (en) * | 2015-04-12 | 2015-07-22 | 吉林大学 | Application of honeycomb duct in molecule-electron induction accelerometer |
Citations (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| US20040191626A1 (en) * | 2003-03-27 | 2004-09-30 | Lewis David H. | MEMS volumetric Li/ion battery for space, air and terrestrial applications |
| US20080216571A1 (en) * | 2007-03-11 | 2008-09-11 | Kozlov Vladimir A | Convective Accelerometer with "Positive' or "Negative" Inertial Mass |
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Patent Citations (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| US20040191626A1 (en) * | 2003-03-27 | 2004-09-30 | Lewis David H. | MEMS volumetric Li/ion battery for space, air and terrestrial applications |
| US20080216571A1 (en) * | 2007-03-11 | 2008-09-11 | Kozlov Vladimir A | Convective Accelerometer with "Positive' or "Negative" Inertial Mass |
Non-Patent Citations (1)
| Title |
|---|
| HAI HUANG: "Molecular Electric Transducers as Motion Sensors: A Review", 《SENSORS》 * |
Cited By (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN104793013A (en) * | 2015-04-12 | 2015-07-22 | 吉林大学 | Application of honeycomb duct in molecule-electron induction accelerometer |
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