Strategy to Decrease the Angle Measurement Error Introduced by the Use of Circular Grating in Dynamic Torque Calibration

Du, Yongbin; Feng, Yong; Jiang, Zongze; Li, Kai; Yang, Shuiwang; Zhang, Qingbai; Zhang, Yinghui; Zhao, Hongliang; Zhaorui, Li; Wang, Shunli

doi:10.3390/s21227599

Cited by 4 publications

(3 citation statements)

References 26 publications

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“…On the one hand, large angle measurement generally involves the energy method, which changes the photoelectric energy at different angles. However, this simple energy utilization method has low accuracy [ 47 , 48 , 49 , 50 , 51 ] and relies on the stability and detection accuracy of the photoelectric itself [ 52 , 53 ]. On the other hand, phase-based methods allow for higher accuracy and better stability of measurements, e.g., calculating the angle change by monitoring the geometric length change of the light propagation [ 54 ] and laser self-mixing method [ 55 , 56 ].…”

Section: High-precision With Single Axismentioning

confidence: 99%

A Review: High-Precision Angle Measurement Technologies

Wang,

Ma,

Cao

et al. 2024

Sensors

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Angle measurement is an essential component of precision measurement and serves as a crucial prerequisite for high-end manufacturing. It guides the implementation of precision manufacturing and assembly. The current angle measurement methods mainly focus on multiple axes, high precision, and large measurement ranges. This article introduces the technology of angle measurement from the perspectives of single-axis and multi-axis measurement schemes. Firstly, the single-axis measurement scheme is primarily achieved through optical methods, such as encoder discs that measure energy changes and interferometric phase changes, as well as mechanical, electromagnetic, and inertial angle measurement methods, among which interferometric methods offer the highest accuracy, with high cost, and encoder discs provide the largest measurement range with an ordinary price. Secondly, in the multi-axis measurement scheme, autocollimation instruments, including plane mirrors, gratings, and self-designed targets, are the main options. Although grating encoders can achieve three degrees of freedom in angle measurement with an ordinary price, they are limited in terms of measurement range and sensitivity compared to self-designed targets. Lastly, artificial intelligence assistance precision measurement is increasingly being embraced due to significant advancements in computer performance, making it more convenient to identify the relationship between measured values and detection values. In conclusion, angle measurement plays a crucial role in precision manufacturing, and the evolving and improving technologies provide the manufacturing industry with greater choices. The purpose of this review is to help readers quickly find more suitable technical solutions according to current application requirements, such as single/multiple axes, accuracy level, measuring range, budget, etc.

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Section: High-precision With Single Axismentioning

confidence: 99%

A Review: High-Precision Angle Measurement Technologies

Wang,

Ma,

Cao

et al. 2024

Sensors

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“…In addition, the proposed method achieved the same accuracy level as the hardware method. Du et al [ 14 ] proposed an eccentricity error model and inclination error model based on the angle measurement error of the circular grating. The calibration and compensation methods based on the proposed error model could effectively compensate its angle measurement error with a single reading head and obtain a high-precision measurement angle.…”

Section: Introductionmentioning

confidence: 99%

Correction of Rotational Eccentricity Based on Model and Microvision in the Wire-Traction Micromanipulation System

Wang

et al. 2023

Micromachines

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In the realm of automatic wire-traction micromanipulation systems, the alignment of the central axis of the coil with the rotation axis of the rotary stage can be a challenge, which leads to the occurrence of eccentricity during rotation. The wire-traction is conducted at a micron-level of manipulation precision on micron electrode wires; eccentricity has a significant impact on the control accuracy of the system. To resolve the problem, a method for measuring and correcting the coil eccentricity is proposed in this paper. First, models of radial and tilt eccentricity are established respectively based on the eccentricity sources. Then, measuring eccentricity is proposed by an eccentricity model and microscopic vision; the model is used to predict eccentricity, and visual image processing algorithms are used to calibrate model parameters. In addition, a correction based on the compensation model and hardware is designed to compensate for the eccentricity. The experimental results demonstrate the accuracy of the models in predicting eccentricity and the effectiveness of correction. The results show that the models have an accurate prediction for eccentricity that relies on the evaluation of the root mean square error (RMSE); the maximal residual error after correction was within 6 μm, and the compensation was approximately 99.6%. The proposed method, which combines the eccentricity model and microvision for measuring and correcting eccentricity, offers improved wire-traction micromanipulation accuracy, enhanced efficiency, and an integrated system. It has more suitable and wider applications in the field of micromanipulation and microassembly.

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“…Jia [12] proposed a method based on the Fourier expansion-back propagation (BP) neural network optimized by a genetic algorithm in 2020, and the measurement error was decreased from 110.2 to 2.7 . In 2021, Du [13] reduced the positioning error of a single reading head by 93.76% with the first and second harmonic fitting method. In 2021, Gurauskis [14] disclosed a technique which used polynomial fitting to compensate the encoder's positioning error and reduced the error by 98%.…”

Section: Introductionmentioning

confidence: 99%

Analysis and application of real-time compensation of positioning precision of the turntable with a harmonic function

Zhou,

Zhu,

Shu

et al. 2022

Metrology and Measurement Systems

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In order to guarantee the accuracy of turntable angle measurement, a real-time compensation method for turntable positioning precision based on harmonic analysis is proposed in this paper. Firstly, the principle and feasibility of the real-time compensation method are analysed, and a detailed description of harmonic compensation is provided herein. Secondly, we analyse the relationships between the surface number of the polygon with the compensation order of the harmonic function and its corresponding compensation accuracy. The effects of the iterations number and the data width on calculation accuracy in the coordinate rotation digital computer (CORDIC) algorithm are analysed and the quantization models of the approximation error and rounding error of the CORDIC algorithm are established. Then, the calculation of the harmonic error function and real-time compensation processes are implemented on a field programmable gate array (FPGA) chip. The resource occupation and time delay of the phase angle calculation and the harmonic component calculation are discussed separately. Finally, the validity of the harmonic compensation method is proven through comparing the compensation effect with that of linear interpolation and the polynomial compensation method. The influences of the compensation order, the iterations number and the data width on the compensation results are demonstrated by simulation. A test platform with a laboratory-made FPGA circuit is built to evaluate the effect of real-time compensation with the harmonic function and the positioning error compensation can be performed within 760 ns. The results confirmed the effectiveness of the harmonic compensation method, revealing an improvement of the positioning precision from 54.21 to 1.63 , equivalent to 96.99% reduction in positioning error.

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Strategy to Decrease the Angle Measurement Error Introduced by the Use of Circular Grating in Dynamic Torque Calibration

Cited by 4 publications

References 26 publications

A Review: High-Precision Angle Measurement Technologies

A Review: High-Precision Angle Measurement Technologies

Correction of Rotational Eccentricity Based on Model and Microvision in the Wire-Traction Micromanipulation System

Analysis and application of real-time compensation of positioning precision of the turntable with a harmonic function

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