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temperature compensation

  • Analysis of Temperature Drift Issues and Compensation Methods for Fiber Optic Gyroscopes
    Analysis of Temperature Drift Issues and Compensation Methods for Fiber Optic Gyroscopes May 19, 2025
    Explore the impact of temperature drift on Fiber Optic Gyroscopes (FOGs), effective compensation methods, and experimental results. Learn how third-order polynomial models improve accuracy by 75%. Fiber Optic Gyroscopes (FOGs), as a new type of high-precision angular rate measurement instrument, have been widely used in military, commercial, and civilian applications due to their compact size, high reliability, and long lifespan, demonstrating broad development prospects. However, when operating temperatures fluctuate, their output signals exhibit drift, significantly affecting measurement accuracy and limiting their application scope. Therefore, studying the drift patterns of FOGs and implementing error compensation has become a critical challenge to enhance their adaptability in varying temperature environments. Mechanisms of Temperature Effects on Fiber Optic Gyroscopes FOGs are optical gyroscopes based on the Sagnac effect, composed of a light source, photodetector, beam splitter, and fiber coil. Temperature impacts gyroscope accuracy by interfering with the performance of internal components: Fiber Coil: As the core component, the fiber coil generates the Sagnac effect when rotating relative to inertial space. Temperature disturbances disrupt the structural reciprocity of the FOG, leading to phase difference errors. Photodetector: Environmental temperature variations introduce significant noise in the detector and produce a temperature-dependent dark current. The load resistance of the detector is also affected by temperature. Light Source: The temperature performance of the light source is closely related to the precision of the Sagnac phase shift. Variations in output power, mean wavelength, and spectral width under different temperatures further influence the gyroscope's output signal. Existing Methods for Temperature Drift Compensation Currently, there are three primary methods to mitigate temperature drift: Hardware Temperature Control Devices: Adding localized temperature control systems to FOGs can compensate for temperature errors in real time. However, this increases volume and weight, conflicting with the trend toward miniaturization. Mechanical Structure Modifications: Techniques like the quadrupole winding method ensure symmetric temperature effects on the fiber coil, reducing non-reciprocal interference. However, residual drift still affects angular rate detection. Software Modeling Compensation: Establishing temperature models for compensation saves space and reduces costs, making it the mainstream method in engineering practice. Temperature Experiments and Modeling Analysis Experimental Design Tests were conducted in three temperature ranges: 0°C to 20°C-40°C to -20°C40°C to 60°C The initial temperature of the thermal chamber was set, maintained for 4 hours, and then adjusted at a rate of 5°C/h. Gyroscope output data was recorded. The test system is shown in Figure 1, with a sampling interval of 1 second and data smoothed over 100 seconds. Key Findings Analysis of the output curves revealed: The gyroscope output exhibited significant oscillations with temperature changes. The output curve followed the same upward or downward trends as the temperature rate curve. Temperature drift was closely related to internal temperature and its rate of change.  Compensation Model A third-order polynomial compensation model was developed, incorporating the following factors: Temperature Factor Model: Lout=L0+∑i=13ai(T−T0)i+∑j=13bjTjLout​=L0​+i=1∑3​ai​(T−T0​)i+j=1∑3​bj​Tj​ After compensation, the bias stability reached 0.0200°/h. Temperature Rate Model:Introducing the temperature rate term improved bias stability to 0.0163°/h. Comprehensive Model:By considering both temperature and its rate of change, bias stability significantly improved to 0.0055°/h, achieving a 77% reduction in error. Segmented Compensation Results Different parameters were applied for compensation across temperature ranges, with results as follows: Gyro Axis Temperature Range Pre-Compensation Error (°/h) Post-Compensation Error (°/h) Error Reduction Percentage X-Axis 0°C to 20°C 0.02504 0.00518 79%   -40°C to -20°C 0.02404 0.00550 77%   40°C to 60°C 0.02329 0.00603 74% Y-Axis 0°C to 20°C 0.02307 0.00591 74%   -40°C to -20°C 0.02535 0.00602 76%   40°C to 60°C 0.02947 0.00562 80% Z-Axis 0°C to 20°C 0.01877 0.00495 74%   -40°C to -20°C 0.02025 0.00649 73%   40°C to 60°C 0.01413 0.00600 58% After compensation, the oscillation amplitude of the output curves was significantly suppressed, becoming more stable. The average error reduction across the three temperature ranges was approximately 75%. Conclusion and Outlook The proposed third-order bias temperature compensation model, which accounts for current temperature, initial temperature deviation, and temperature rate, has been experimentally proven to effectively improve gyroscope output signals and significantly enhance accuracy. This method can be applied to Micro-Magic's FOG models such as U-F3X80, U-F3X90, U-F3X100, U-F100A, and U-F300. However, current research still has limitations, such as discontinuous temperature history and insufficient sample coverage. Future work should focus on developing compensation methods for temperature drift across the full temperature range. For engineering applications, software modeling compensation demonstrates great potential as a cost-effective solution to balance precision and practicality.   U-F3X90 Whatever you needs, Micro-Magic is at your side. U-F3X100 Whatever you needs, Micro-Magic is at your side. U-F100A Whatever you needs, Micro-Magic is at your side. --
  • Full temperature range high-precision calibration: Unveiling the key technologies of error modeling and compensation algorithms for FOG IMU
    Full temperature range high-precision calibration: Unveiling the key technologies of error modeling and compensation algorithms for FOG IMU Apr 17, 2025
    Explore high-precision calibration for FOG IMU (Fiber Optic Gyro Inertial Measurement Unit) across full temperature ranges. Learn key error modeling techniques, 3D bidirectional rate/one-position calibration, and Piecewise Linear Interpolation (PLI) compensation for enhanced navigation accuracy in drones, autonomous vehicles, and robotics. How can FOG IMU (Inertial Measurement Unit based on Fiber Optic Gyroscope) maintain high precision in complex temperature environments? This article comprehensively analyzes its error modeling and compensation methods. 1. Introduction to FOG IMU: The "Brain" of Flight Navigation System In modern aircraft, especially in small rotor unmanned aerial vehicle systems, FOG IMU is the core component of the navigation information and attitude measurement system. The fiber optic gyroscope (FOG) based on the Sagnac effect has advantages such as high precision, strong shock resistance, and fast response, but it has poor adaptability to temperature changes. This can easily lead to measurement errors during the flight process where the dynamic environment changes drastically, thereby affecting the performance of the overall navigation system. 2. Error Sources: Analysis of Common Measurement Deviations of FOG IMU The errors of FOG IMU can be mainly classified into two types:(1) Angular velocity channel error: This includes installation error, proportional factor error, zero bias error, etc. (2) Acceleration channel error: Mainly caused by installation error, temperature drift and dynamic disturbance. These errors accumulate in the actual environment, seriously affecting the stability and accuracy of the flight control system. 3. Limitations of Traditional Calibration Methods Although traditional static multi-orientation calibration and angular velocity method can partially address the issue of errors, they have obvious shortcomings in the following aspects:(1) Unable to balance accuracy and computational efficiency(2) Inapplicable to full temperature range compensation(3) Dynamic disturbances affect the stability of calibrationThis requires a more intelligent and efficient error modeling and temperature compensation mechanism. 4. Detailed Explanation of the Three-Dimensional Positive and Negative Speed/One-Axis Attitude Calibration Method in the Full Temperature Range (1) Precise Calibration at Multiple Temperature PointsBy setting multiple temperature points ranging from -10°C to 40°C and conducting three-axis rotation calibration at each point, temperature-related error parameters can be collected.(2) Three-Dimensional Positive and Negative Speed Method: Precisely Simulating Real Flight ConditionsUsing a single-axis rate turntable and a high-precision hexahedral tool, positive and negative speed calibration in the X/Y/Z axis directions can be achieved, enhancing the system's adaptability to dynamic environments.(3) One-Axis Attitude Stabilization: Quickly Capturing System Zero OffsetWhile maintaining a static state, initial offsets under different temperatures are recorded to provide precise data support for subsequent error modeling. 5. Piecewise Linear Interpolation (PLI): A Precise Error Compensation Tool with Low Computational Load To meet the error compensation requirements of FOG IMU across the entire temperature range, this paper proposes the Piecewise Linear Interpolation algorithm (PLI), which has the following characteristics:(1) Low computational load: Suitable for embedded navigation systems with limited resources(2) Strong real-time compensation capability: Error is dynamically adjusted with temperature changes(3) Easy to deploy and upgradeCompared with the high-order least squares method, the PLI scheme ensures the compensation accuracy while significantly reducing the system's computational burden, making it suitable for real-time computing scenarios during flight. 6. Practical Verification: Outstanding Performance in Complex Flight Environments Through on-board field experiments, this method significantly enhanced the measurement accuracy and environmental adaptability of the system under various temperatures and dynamic disturbances, providing a solid navigation foundation for subsequent high-performance small rotorcraft flight platforms. 7. Conclusion: Mastering the error modeling and compensation of FOG IMU is the key to building a highly reliable flight platform. With the development of unmanned aerial vehicles and intelligent flight systems, the requirements for the accuracy of navigation systems have become increasingly stringent. By introducing the three-position positive and negative speed calibration and segmented linear interpolation compensation methods, the adaptability and accuracy of FOG IMU in the full temperature range and strong dynamic environment can be significantly improved. In the future, this technology is expected to play a greater role in autonomous driving, robot navigation, and high-precision map collection and other fields. Micro-Magic’s U-F3X80, U-F3X90, U-F3X100,and U-F300 , we can use full-temperature three-way positive and negative rate/one position calibration and PLI compensation method. According to the error characteristics of fiber optic gyro and quartz flexible accelerometer, the FOG inertial measurement unit error model is established, and the three-bit positive and negative rate/one-position calibration scheme is designed at each constant temperature point. The PLI algorithm is used to compensate the zero bias and scale factor temperature errors of the system in real time, reducing the calibration workload and the calculation amount of the compensation algorithm, and improving the system dynamics, temperature environment adaptability and measurement accuracy. U-F3X80 Fiber Optic Gyroscope IMU U-F100A Middle Precision Fiber Optic Gyroscope Based IMU U-F3X100 Fiber Optic Gyroscope IMU U-F3X90 Fiber Optic Gyroscope IMU  
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