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Analysis of Self-Calibration Algorithms in Optical Angular Encoders

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Optoelectronics, Instrumentation and Data Processing Aims and scope

Abstract

To date, two fundamental types of algorithms for self-calibration of optical angular encoders have been developed in precision goniometry, differing by the uniform or nonuniform arrangement of the read heads used in their construction. The analysis of the precision values of such encoders revealed the special features not provided by theory, which stimulated performing the experiments on modeling the expected values of such algorithms. The proposed simulation model of optical angular encoders based on a two-dimensional data array makes it possible to identify the methodological error of the measurement algorithm used by determining the residual contribution of the distorting function to the total measurement error with accuracy sufficient for practice. In addition, it makes it possible to identify the characteristic features of calibration curves constructed based on techniques with uniform or nonuniform arrangement of the reading heads. The simulation results show that self-calibration techniques based on uniform arrangement of the read heads allow for higher measurement accuracy compared to techniques based on nonuniform arrangement.

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REFERENCES

  1. V. P. Kir’yanov and A. V. Kir’yanov, ‘‘Application of coherent lattice filters in goniometry,’’ Optoelectron., Instrum. Data Process. 57, 601–610 (2021). https://doi.org/10.3103/S8756699021060066

    Article  ADS  Google Scholar 

  2. R. D. Geckeler, A. Link, M. Krause, and C. Elster, ‘‘Capabilities and limitations of the self-calibration of angle encoders,’’ Meas. Sci. Technol. 25, 055003 (2014). https://doi.org/10.1088/0957-0233/25/5/055003

    Article  ADS  Google Scholar 

  3. M. N. Burnashev, P. A. Pavlov, and Yu. V. Filatov, ‘‘Development of precision laser goniometer systems,’’ Quantum Electron. 43, 130–138 (2013). https://doi.org/10.1070/QE2013v043n02ABEH015045

    Article  ADS  Google Scholar 

  4. V. F. Ionak, Devices of Kinematic Control (Mashinostroenie, Moscow, 1981).

    Google Scholar 

  5. E. A. Bachish, ‘‘Methods for recovering the unit of planar angle,’’ Giroskopiya Navigatsiya, No. 2, 105–112 (2006).

    Google Scholar 

  6. T. Masuda and M. Kajitani, ‘‘An automatic calibration system for angular encoders,’’ Precis. Eng. 11, 95–100 (1989). https://doi.org/10.1016/0141-6359(89)90059-7

    Article  Google Scholar 

  7. T. Watanabe, H. Fujimoto, K. Nakayama, T. Masuda, and M. Kajitani, ‘‘Automatic high-precision calibration system for angle encoder,’’ Proc. SPIE 4401, 267–274 (2001). https://doi.org/10.1117/12.445630

    Article  ADS  Google Scholar 

  8. T. Watanabe, M. Kon, N. Nabeshima, and K. Taniguchi, ‘‘An angle encoder for super-high resolution and super-high accuracy using SelfA,’’ Meas. Sci. Technol. 25, 065002 (2014). https://doi.org/10.1088/0957-0233/25/6/065002

    Article  ADS  Google Scholar 

  9. T. Ishii, K. Taniguchi, K. Yamazaki, and H. Aoyama, ‘‘Development of super-accurate angular encoder system with multi-detecting heads using VEDA method,’’ J. Adv. Mech. Design, Syst., Manuf. 12, JAMDSM0106 (2018). https://doi.org/10.1299/jamdsm.2018jamdsm0106

  10. R. Probst and A. Just, ‘‘Recent developments in angle encoder calibration at the PTB,’’ in Proc. 186th PTB-Seminar, Braunschweig, Germany, 2003, pp. 117.

  11. J. Kim, W. Kim, and C. Kang, ‘‘Precision angle comparator using self-calibration of scale errors based on the equal-division-averaged method,’’ Rev. Sci. Instrum. 82, 116108 (2011).

    Article  ADS  Google Scholar 

  12. A. Ernst, ‘‘Angle measuring device,’’ EU Patent, No. EP0440833 B1 (1990).

    Google Scholar 

  13. A. V. Kir’yanov, A. A. Zotov, A. G. Karakotskii, V. P. Kir’yanov, A. D. Petukhov, and V. V. Chukanov, ‘‘Features of operational control of precision angle-measuring structures,’’ Meas. Tech. 62, 422–428 (2019). https://doi.org/10.1007/s11018-019-01640-y

    Article  Google Scholar 

  14. V. P. Kiryanov, V. E. Zyubin, A. V. Kiryanov, A. A. Lubkov, and A. S. Maksimov, ‘‘Simulation of an instrumental error of hybrid photoelectric converter due to an inaccuracy manufacture of a raster,’’ Vestn. Novosibirsk. Ser.: Inf. Tekhnol. 13 (2), 34–41 (2015).

    Google Scholar 

  15. V. Portman and B. Peschansky, ‘‘Phase-statistical method and device for high precision and high efficiency angular measurements,’’ Precis. Eng. 25, 309–315 (2001). https://doi.org/10.1016/S0141-6359(01)00084-8

    Article  Google Scholar 

  16. Y. Jiao, Z. Dong, Y. Ding, and P. Liu, ‘‘Optimal arrangements of scanning heads for self-calibration of angle encoders,’’ Meas. Sci. Technol. 28, 105013 (2017). https://doi.org/10.1088/1361-6501/aa8545

    Article  ADS  Google Scholar 

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Funding

The study was supported by the Ministry of Science and Higher Education of the Russian Federation (project no. 121042900050-6).

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Authors and Affiliations

  1. Institute of Automation and Electrometry, Siberian Branch, Russian Academy of Sciences, 630090, Novosibirsk, Russia

    V. P. Kiryanov, A. D. Petukhov & A. V. Kiryanov

  2. Novosibirsk State Technical University, 630092, Novosibirsk, Russia

    A. V. Kiryanov

Authors
  1. V. P. Kiryanov
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  2. A. D. Petukhov
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  3. A. V. Kiryanov
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Correspondence to A. V. Kiryanov.

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The authors declare that they have no conflicts of interest.

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Translated by L. Trubitsyna

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Kiryanov, V.P., Petukhov, A.D. & Kiryanov, A.V. Analysis of Self-Calibration Algorithms in Optical Angular Encoders. Optoelectron.Instrument.Proc. 58, 223–233 (2022). https://doi.org/10.3103/S8756699022030049

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