An On-Orbit Dynamic Calibration Method for an MHD Micro-Angular Vibration Sensor Using a Laser Interferometer
The magnetohydrodynamic (MHD) micro-angular vibration sensor is a significant component of the MHD Inertial Reference Unit (MIRU) and measures micro-amplitude and wide frequency angular vibration. The MHD micro-angular vibration sensor must be calibrated in orbit since the ground calibration paramet...
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| Format: | Article |
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MDPI AG
2019-10-01
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| Series: | Sensors |
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| Online Access: | https://www.mdpi.com/1424-8220/19/19/4291 |
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| author | Yingjie Wu Xingfei Li Fan Liu Ganmin Xia |
| author_facet | Yingjie Wu Xingfei Li Fan Liu Ganmin Xia |
| author_sort | Yingjie Wu |
| collection | DOAJ |
| description | The magnetohydrodynamic (MHD) micro-angular vibration sensor is a significant component of the MHD Inertial Reference Unit (MIRU) and measures micro-amplitude and wide frequency angular vibration. The MHD micro-angular vibration sensor must be calibrated in orbit since the ground calibration parameters may change after lift-off. An on-orbit dynamic calibration method for the MHD micro-angular vibration sensor is proposed to calibrate the complex sensitivity of the sensor in high frequency. An absolute calibration method that combines a homodyne laser interferometer and an angular retroreflector was developed. The sinusoidal approximation method was applied, and the calibration system was established and tested using a manufactured MHD sensor. Furthermore, the measurement principle and installation errors were analyzed, including the eccentric installation error of the retroreflector, the tilt installation error of the retroreflector, and the optical path tilt error. This method can be realized within a rotation range of <inline-formula> <math display="inline"> <semantics> <mrow> <mo>±</mo> <msup> <mn>3</mn> <mo>∘</mo> </msup> </mrow> </semantics> </math> </inline-formula> and effectively avoid the installation error caused by mechanical errors. The results indicate that the calibratable angular vibration frequency range is 25−800 Hz, and the angular velocity range is <inline-formula> <math display="inline"> <semantics> <mrow> <mn>0.076</mn> </mrow> </semantics> </math> </inline-formula>−7590 mrad/s. The expanded uncertainties of the sensitivity amplitude and phase shift of the calibration system for the MHD micro-angular sensor are <inline-formula> <math display="inline"> <semantics> <mrow> <mn>0.04</mn> <mo>%</mo> </mrow> </semantics> </math> </inline-formula> and <inline-formula> <math display="inline"> <semantics> <mrow> <msup> <mn>1.2</mn> <mo>∘</mo> </msup> </mrow> </semantics> </math> </inline-formula> <inline-formula> <math display="inline"> <semantics> <mrow> <mo>(</mo> <mi>k</mi> <mo>=</mo> <mn>2</mn> <mo>)</mo> </mrow> </semantics> </math> </inline-formula>. |
| first_indexed | 2024-04-14T02:26:49Z |
| format | Article |
| id | doaj.art-aa750ec54a73425a94bf46b4c811ad7f |
| institution | Directory Open Access Journal |
| issn | 1424-8220 |
| language | English |
| last_indexed | 2024-04-14T02:26:49Z |
| publishDate | 2019-10-01 |
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| spelling | doaj.art-aa750ec54a73425a94bf46b4c811ad7f2022-12-22T02:17:51ZengMDPI AGSensors1424-82202019-10-011919429110.3390/s19194291s19194291An On-Orbit Dynamic Calibration Method for an MHD Micro-Angular Vibration Sensor Using a Laser InterferometerYingjie Wu0Xingfei Li1Fan Liu2Ganmin Xia3State Key Laboratory of Precision Measuring Technology and Instruments, Tianjin University, Tianjin 300072, ChinaState Key Laboratory of Precision Measuring Technology and Instruments, Tianjin University, Tianjin 300072, ChinaState Key Laboratory of Precision Measuring Technology and Instruments, Tianjin University, Tianjin 300072, ChinaState Key Laboratory of Precision Measuring Technology and Instruments, Tianjin University, Tianjin 300072, ChinaThe magnetohydrodynamic (MHD) micro-angular vibration sensor is a significant component of the MHD Inertial Reference Unit (MIRU) and measures micro-amplitude and wide frequency angular vibration. The MHD micro-angular vibration sensor must be calibrated in orbit since the ground calibration parameters may change after lift-off. An on-orbit dynamic calibration method for the MHD micro-angular vibration sensor is proposed to calibrate the complex sensitivity of the sensor in high frequency. An absolute calibration method that combines a homodyne laser interferometer and an angular retroreflector was developed. The sinusoidal approximation method was applied, and the calibration system was established and tested using a manufactured MHD sensor. Furthermore, the measurement principle and installation errors were analyzed, including the eccentric installation error of the retroreflector, the tilt installation error of the retroreflector, and the optical path tilt error. This method can be realized within a rotation range of <inline-formula> <math display="inline"> <semantics> <mrow> <mo>±</mo> <msup> <mn>3</mn> <mo>∘</mo> </msup> </mrow> </semantics> </math> </inline-formula> and effectively avoid the installation error caused by mechanical errors. The results indicate that the calibratable angular vibration frequency range is 25−800 Hz, and the angular velocity range is <inline-formula> <math display="inline"> <semantics> <mrow> <mn>0.076</mn> </mrow> </semantics> </math> </inline-formula>−7590 mrad/s. The expanded uncertainties of the sensitivity amplitude and phase shift of the calibration system for the MHD micro-angular sensor are <inline-formula> <math display="inline"> <semantics> <mrow> <mn>0.04</mn> <mo>%</mo> </mrow> </semantics> </math> </inline-formula> and <inline-formula> <math display="inline"> <semantics> <mrow> <msup> <mn>1.2</mn> <mo>∘</mo> </msup> </mrow> </semantics> </math> </inline-formula> <inline-formula> <math display="inline"> <semantics> <mrow> <mo>(</mo> <mi>k</mi> <mo>=</mo> <mn>2</mn> <mo>)</mo> </mrow> </semantics> </math> </inline-formula>.https://www.mdpi.com/1424-8220/19/19/4291mhdmicro-angular vibration sensoron-orbit dynamic calibrationsensitivitylaser interferometerinstallation error |
| spellingShingle | Yingjie Wu Xingfei Li Fan Liu Ganmin Xia An On-Orbit Dynamic Calibration Method for an MHD Micro-Angular Vibration Sensor Using a Laser Interferometer Sensors mhd micro-angular vibration sensor on-orbit dynamic calibration sensitivity laser interferometer installation error |
| title | An On-Orbit Dynamic Calibration Method for an MHD Micro-Angular Vibration Sensor Using a Laser Interferometer |
| title_full | An On-Orbit Dynamic Calibration Method for an MHD Micro-Angular Vibration Sensor Using a Laser Interferometer |
| title_fullStr | An On-Orbit Dynamic Calibration Method for an MHD Micro-Angular Vibration Sensor Using a Laser Interferometer |
| title_full_unstemmed | An On-Orbit Dynamic Calibration Method for an MHD Micro-Angular Vibration Sensor Using a Laser Interferometer |
| title_short | An On-Orbit Dynamic Calibration Method for an MHD Micro-Angular Vibration Sensor Using a Laser Interferometer |
| title_sort | on orbit dynamic calibration method for an mhd micro angular vibration sensor using a laser interferometer |
| topic | mhd micro-angular vibration sensor on-orbit dynamic calibration sensitivity laser interferometer installation error |
| url | https://www.mdpi.com/1424-8220/19/19/4291 |
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