CN116625410A - Hemispherical resonator gyro excitation electrode gain calibration method - Google Patents
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01C—MEASURING DISTANCES, LEVELS OR BEARINGS; SURVEYING; NAVIGATION; GYROSCOPIC INSTRUMENTS; PHOTOGRAMMETRY OR VIDEOGRAMMETRY
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Abstract
The invention relates to the technical field of gyroscopes, in particular to a hemispherical resonator gyroscope excitation electrode gain calibration method, which comprises the following steps: resting hemispherical resonant gyroscope on a test plate, applying the same stable amplitude voltage to an X electrode and a Y electrode, and recordingA kind of electronic device with high-pressure air-conditioning systemThe method comprises the steps of carrying out a first treatment on the surface of the Gain increase of Y electrodeRecordingA kind of electronic device with high-pressure air-conditioning systemThe method comprises the steps of carrying out a first treatment on the surface of the According to、、A kind of electronic device with high-pressure air-conditioning systemCalculating the resultant force direction angle of stable amplitude force of hemispherical resonator gyroscopeThe method comprises the steps of carrying out a first treatment on the surface of the Calculating gain error of exciting electrode of hemispherical resonator gyroscopeAnd adjusting the output voltage of the Y electrode to make the gain calibration of the X electrode and the Y electrode consistent. The method solves the problem of inconsistent gain of the excitation electrode, and improves the precision and stability of the hemispherical resonator gyroscope.
Description
Technical Field
The invention relates to the technical field of gyroscopes, in particular to a hemispherical resonator gyroscope excitation electrode gain calibration method.
Background
The hemispherical resonant gyroscope is a novel high-precision gyroscope with great development prospect, and has the advantages that: the hemispherical resonator gyro has the advantages of small volume, high precision, low power consumption, high reliability, short starting time, simple mechanical component structure, large working temperature range, strong ionizing radiation resistance, insensitivity to linear overload, good stability when power is off, realization of automatic production when manufacturing the hemispherical resonator gyro, and the like, and has longer service life. The related data show that: hemispherical resonator gyroscopes can operate continuously for more than 15 years and maintain the required performance, and are therefore recognized as the most long-lived gyroscopes.
The hemispherical resonator gyro is controlled by applying electrostatic force to the harmonic oscillator through at least a pair of excitation electrodes with a space distance of 45 degrees, and the electrostatic force is applied to the harmonic oscillator by virtue of a plate capacitor formed by the coating of the excitation electrodes and the harmonic oscillator. Because of process limitations, the capacitance spacing of the two excitation electrodes tends to be inconsistent, and there is a maximum error of 0.1%, which approximately causes a gain error of 1000PPM, which affects the accuracy of the hemispherical resonator gyroscope in applying electrostatic force to the harmonic oscillator, and generates additional drift, which affects the accuracy and stability of the hemispherical resonator gyroscope if not calibrated.
Disclosure of Invention
The invention aims to provide a hemispherical resonant gyroscope excitation electrode gain calibration method, which is characterized in that the gain of one excitation electrode is changed, the standing wave binding effect enables the gyroscope vibration mode to be bound at different vibration mode angles, the gain of the excitation electrode is calculated according to the deviation of the bound vibration mode angles, and then the output voltage of the excitation electrode is calibrated according to the calculated gain of the excitation electrode, so that the problem of inconsistent gain of the excitation electrode is solved.
The invention is realized by the following technical scheme:
a hemispherical resonator gyro excitation electrode gain calibration method comprises the following steps:
the first step: resting the hemispherical resonator gyroscope on a test flat plate, applying the same amplitude stabilizing voltage to an excitation X electrode and an excitation Y electrode, and recording the resultant force of amplitude stabilizing force of the hemispherical resonator gyroscope after the vibration mode angle output by the hemispherical resonator gyroscope reaches a steady-state positionVibration direction angle of vibration mode antinode>;
And a second step of: gain increase of exciting Y electrodeRecording gain amplitude stabilizing force resultant force +.A. of the hemispherical resonator gyroscope after the vibration angle output by the hemispherical resonator gyroscope reaches a steady-state position>Gain vibration mode antinode vibration direction angle +.>;
And a third step of: combining the stable amplitude force and the resultant force of the hemispherical resonator gyroscopes recorded in the first step and the second stepVibration direction angle of vibration mode antinode>Gain amplitude stabilizing force resultant force->Gain vibration mode antinode vibration direction angle +.>Substituting into the formula (1), calculating the steady force resultant force direction angle of the hemispherical resonator gyro>;
(1);
Fourth step: calculating the gain error of the excitation electrode of the hemispherical resonator gyroscope according to the formula (2) and the formula (3)And multiplying the output voltage of the excitation Y electrode by (+)>) Doubling the gain calibration of the excitation X electrode and the excitation Y electrode;
(2)
(3);
wherein:indicating the angle of departure between the direction of the steady force resultant and the angular line of the two excitation electrodes.
And optimally, the time from the application of the same stable amplitude voltage to the excitation X electrode and the excitation Y electrode to the arrival of the vibration mode angle output by the hemispherical resonator gyro at the steady-state position is 10 minutes.
Further, in the third step, the output voltage of the excitation Y electrode is increased by (1 +) The excitation Y electrode gain is increased in a multiplied way>。
The invention has the beneficial effects that:
according to the invention, the gain of one excitation electrode is changed, the standing wave binding effect binds the vibration mode of the gyroscope at different vibration mode angles, the gain of the excitation electrode is calculated according to the deviation of the bound vibration mode angles, and then the output voltage of the excitation electrode is calibrated according to the calculated gain of the excitation electrode, so that the problem of inconsistent gain of the excitation electrode is solved, the extra drift of the precision of applying electrostatic force to the harmonic oscillator by the hemispherical resonator gyroscope is prevented, and the precision and stability of the hemispherical resonator gyroscope are improved.
Drawings
FIG. 1 is a schematic diagram of the hemispherical resonator gyro mode location of the present invention.
Detailed Description
A hemispherical resonator gyro excitation electrode gain calibration method comprises the following steps:
the first step: resting the hemispherical resonator gyroscope on a test flat plate, applying the same amplitude stabilizing voltage to an excitation X electrode and an excitation Y electrode, and recording the resultant force of amplitude stabilizing force of the hemispherical resonator gyroscope after the vibration mode angle output by the hemispherical resonator gyroscope reaches a steady-state positionVibration direction angle of vibration mode antinode>;
And a second step of: gain increase of exciting Y electrodeRecording half after the vibration angle output by the hemispherical resonant gyroscope reaches a steady-state positionGain amplitude stabilizing force resultant force of ball resonance gyro>Gain vibration mode antinode vibration direction angle +.>;
And a third step of: combining the stable amplitude force and the resultant force of the hemispherical resonator gyroscopes recorded in the first step and the second stepVibration direction angle of vibration mode antinode>Gain amplitude stabilizing force resultant force->Gain vibration mode antinode vibration direction angle +.>Substituting into the formula (1), calculating the steady force resultant force direction angle of the hemispherical resonator gyro>;
(1);
Fourth step: calculating the gain error of the excitation electrode of the hemispherical resonator gyroscope according to the formula (2) and the formula (3)And multiplying the output voltage of the excitation Y electrode by (+)>) Doubling the gain calibration of the excitation X electrode and the excitation Y electrode;
(2);
(3);
wherein:indicating the angle of departure between the direction of the steady force resultant and the angular line of the two excitation electrodes.
The exciting X electrode and the exciting Y electrode of the hemispherical resonator gyroscope are a pair of exciting electrodes which are 45 degrees apart, and the gain of the exciting X electrode is assumed to beThe gain of the excitation Y electrode is +.>The gain of the excitation X electrode is +>Gain with excitation Y electrodeThe relation between the two is shown in the formula (4):
(4);
when the same constant amplitude excitation voltage is applied to the two excitation electrodes, if the gains of the two excitation electrodes are identicalIs 0. As known from the vector synthesis rule, the constant amplitude force resultant force of the hemispherical resonator gyro is +.>If the gyroscope has no drift and external input angular velocity, the vibration mode antinode is bound in the direction of resultant force of stable amplitude force, which is called standing wave binding effect. When the gains of the two excitation electrodes are inconsistent, a deviation angle of the resultant force direction of the steady amplitude force and the angular line of the two excitation electrodes can appear>The deviation angle +.>And->The relation of (2) is represented by the following formula (5):
(5);
in practical situations, there is generally an input angular velocity from the outside, such as the rotation angular velocity of the earth and the drift of the hemispherical resonator gyro itself, the standing wave is not in the direction of the resultant force of the steady amplitude force in the steady state, but generates an offset, as shown in fig. 1. This is because the gyro drift and the coriolis force standing wave precession caused by the external input angular velocity until the projected components of the steady-amplitude force resultant force in the gyro drift and coriolis force acting directions are equal and opposite. Detection electrodeDetection electrode->The position of the standing wave, namely the vibration mode angle, can be output in real time through detecting the vibration signal and through a signal demodulation module, and the position is generally in the detection electrode +_ in the vibration direction of the standing wave>The vibration mode angle is represented by 0 DEG, and the increase of the vibration mode angle is defined as anticlockwise rotation, the vibration mode angle corresponding to the excitation electrode angle line of the excitation electrode X and the excitation electrode Y in FIG. 1 is 112.5 DEG, because the coriolis force and the gyro drift action direction and the vibration mode antinode vibration direction are constantly different by 90 DEG, which is determined by the working principle of the hemispherical resonator gyro.
The relationship between these several variables is shown in equation (6):
(6);
wherein:is the sum of the coriolis force and the drift force;
also according to formula (7), formula (6) may be rewritten as formula (8):
(7);
(8);
in (8)、/>For unknown quantity->And->If the amount is known, the +.>The +.>。
Actively increasing the gain of the stimulated Y electrode is knownThis can be achieved by increasing the output voltage of the excitation Y electrode, and a new relational expression (9) can be obtained after the mode shape is stabilized:
(9);
the root of formula (1) can be obtained from formulas (8) and (9)Can be calculated according to the formula (1)The excitation electrode gain error of the hemispherical resonator gyro can be calculated according to the formula (2) and the formula (3)>Then, the output voltage of the excitation Y electrode is changed, and the output voltage of the excitation Y electrode is multiplied by (+)>) The gain calibration of the excitation X electrode and the excitation Y electrode is consistent, the problem that the gains of the excitation X electrode and the excitation Y electrode are inconsistent is solved, and the extra drift generated by the precision of applying electrostatic force to the harmonic oscillator by the hemispherical resonator gyroscope is prevented, so that the precision and the stability of the hemispherical resonator gyroscope are improved.
Optimally, the time from when the same stable amplitude voltage is applied to the excitation X electrode and the excitation Y electrode to when the vibration mode angle output by the hemispherical resonator gyro reaches the steady-state position is 10 minutes, after the same stable amplitude voltage is applied to the excitation X electrode and the excitation Y electrode, a period of time is required to wait until the vibration mode angle output by the hemispherical resonator gyro reaches the steady-state position, so that recorded data can be more accurate, and finally, the calibration is more accurate, thereby ensuring the precision and the stability of the hemispherical resonator gyro.
Further, in the third step, the output voltage of the excitation Y electrode is increased by (1 +) The excitation Y electrode gain is increased in a multiplied way>The mode enables the operation to be simpler and more direct, is more convenient for engineering realization, and has stronger engineering application value.
In summary, according to the hemispherical resonator gyro excitation electrode gain calibration method provided by the invention, the gain of one excitation electrode is calculated by changing the gain of one excitation electrode and the deviation of the bound vibration mode angle, so that the output voltage of the excitation electrode is calibrated, the problem of inconsistent excitation electrode gain is solved, the precision and stability of the hemispherical resonator gyro are improved, the engineering realization is facilitated, and the hemispherical resonator gyro has a relatively high engineering application value.
The above description is only of the preferred embodiments of the present invention and is not intended to limit the present invention, but various modifications and variations can be made to the present invention by those skilled in the art. Any modification, equivalent replacement, improvement, etc. made within the spirit and principle of the present invention should be included in the protection scope of the present invention.
Claims (3)
1. The hemispherical resonator gyro excitation electrode gain calibration method is characterized by comprising the following steps of:
the first step: resting the hemispherical resonator gyroscope on a test flat plate, applying the same amplitude stabilizing voltage to an excitation X electrode and an excitation Y electrode, and recording the resultant force of amplitude stabilizing force of the hemispherical resonator gyroscope after the vibration mode angle output by the hemispherical resonator gyroscope reaches a steady-state positionVibration direction angle of vibration mode antinode>;
And a second step of: gain increase of exciting Y electrodeRecording gain amplitude stabilizing force resultant force +.A. of the hemispherical resonator gyroscope after the vibration angle output by the hemispherical resonator gyroscope reaches a steady-state position>Gain vibration mode antinode vibration direction angle +.>;
And a third step of: combining the stable amplitude force and the resultant force of the hemispherical resonator gyroscopes recorded in the first step and the second stepVibration direction angle of vibration mode antinode>Gain amplitude stabilizing force resultant force->Gain vibration mode antinode vibration direction angle +.>Substituting into the formula (1), calculating the steady force resultant force direction angle of the hemispherical resonator gyro>;
(1);
Fourth step: calculating the gain error of the excitation electrode of the hemispherical resonator gyroscope according to the formula (2) and the formula (3)And multiplying the output voltage of the excitation Y electrode by (+)>) Doubling the gain calibration of the excitation X electrode and the excitation Y electrode;
(2)
(3);
wherein:indicating the angle of departure between the direction of the steady force resultant and the angular line of the two excitation electrodes.
2. The method for calibrating the gain of the excitation electrode of the hemispherical resonator gyroscope according to claim 1, wherein the time from when the same steady-amplitude voltage is applied to the excitation X electrode and the excitation Y electrode until the vibration mode angle of the output of the hemispherical resonator gyroscope reaches a steady-state position is 10 minutes.
3. The method for calibrating gain of excitation electrode of hemispherical resonator gyro according to claim 1, wherein in the third step, the output voltage of the excitation Y electrode is increased by (1 +) The excitation Y electrode gain is increased in a multiplied way>。
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