A METHOD OF REDUCING THE ERROR IN DETERMINING THE ANGULAR DISPLACEMENTS WHEN USING INDUCTIVE SENSORS
DOI:
https://doi.org/10.20998/2074-272X.2020.6.01Keywords:
angular displacements, mathematical method, induction sensor, rotating transformer, circular discrete convolution, orthogonal components, precision, phase shiftAbstract
Goal. Representation of a special mathematical software for determining the angular displacements of the rotor of the induction angle sensor – resolver (rotating transformer) for applications in which the speed of the sensor's rotor is close to zero. As well as performing its experimental verification. Methodology. The presented method is based on the determination of the phase shift angle of the output signals of the induction sensor, which is determined by comparing the obtained arrangements of signal values with a circular discrete convolution in order to achieve the most precise approximation of the obtained signal values to cosine and sine. The conversion of orthogonal components to an angle is based on the use of a digital phase detector which is use of a software comparator and inverse trigonometric functions. Results. Based on the obtained results of mathematical modeling and experimental research, the characteristic dependencies of the angle of rotation of the rotor of the induction sensor relative to its stator, the nature of which is linear, were obtained. In addition, the estimation of measurement errors of angular displacements is carried out that occur when defining such angles by the method offered. The obtained results of the computer simulation taking into account the high signal noise, as well as the results of experimental investigations, confirm the high precision of this method and the fact that it can be used in systems where high positioning accuracy is required and the speed of the sensor shaft is close to zero. Originality. This article introduces, for the first time, special mathematical software for a new method of determining the angular displacements of the rotor of an induction sensor, which is based on the determination of the orthogonal components of the signal in combination with the use of a circular discrete convolution in the determination of the phase shift angle of the induction sensor signals. Practical meaning. The proposed method does not require the use of demodulators, counters and quadrant tables associated with conventional methods for determining the phase shift of signals. The presented method can be used to measure the full range of 0-2p angular displacements in real time, is simple and can be easily implemented using digital electronic circuitry.References
Hicks T., Atherton P. The Nano Positioning Book: Moving and Measuring to Better Than a Nanometre. ISTE Publishing Company, 1997. 120 p.
Auger F., Mansouri-Toudert O., Chibah A. Design of advanced resolver-to-digital converters. Modeling and Simulation of Electric Machines, Converters and Systems. 10th International Conference ELECTRIMACS. Cergy-Pontoise (France), 6-8 June 2011.
Sivappagari C.M.R., Konduru N.R. Review of RDC soft computing techniques for accurate measurement of resolver rotor angle. Sensors and Transducers, 2013, vol. 150, no. 3, pp. 1-11.
Zavgorodniy V.D., Moroz V.I.. Petrova O.A. Quantum-mechanical model of induction type angle sensors (Part 4. Analysis of output signal processing methods). Electrical engineering & electromechanics, 2003, no. 4, pp. 36-41. (Ukr).
Verma A., Chellamuthu A. Design considerations for resolver-to-digital converters in electric vehicles. Analog Applications Journal, 2016, vol. Q1, pp. 9-13.
Benammar M., Gonzales A.S.P. A Novel PLL Resolver Angle Position Indicator. IEEE Transactions on Instrumentation and Measurement, 2016, vol. 65, no. 1, pp. 123-131. doi: 10.1109/TIM.2015.2476280.
Wang S., Kang J., Degano M., Buticchi G. A Resolver-to-Digital Conversion Method Based on Third-Order Rational Fraction Polynomial Approximation for PMSM Control. IEEE Transactions on Industrial Electronics, 2019, vol. 66, no. 8, pp. 6383-6392, doi: 10.1109/TIE.2018.2884209.
Wang Y., Zhu Z., Zuo Z. A Novel Design Method for Resolver-to-Digital Conversion. IEEE Transactions on Industrial Electronics, 2014, vol. 62, no. 6, pp. 3724-3731. doi: 10.1109/tie.2014.2375254.
Shabatura Y.V., Snitkov C.I., Seredyuk B.O. Mathematical model for determination of angular variables using the angular induction sensor in the phase mode for guiding a typical artillery system. SDirect24, 2018, no. 2/(7). Available at: https://www.sdirect24.org/nato-deep-no-7 (accessed 15 June 2020).
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