Fig. 1. Cross-section of a resolver [23]
Fig. 2. Resolver signals [22]
Fig. 3. Block diagram of the general RDC system
Fig. 4. Block diagram of the proposed RDC system
Fig. 5. Block diagram of the proposed FPGA design
Fig. 6. FIR filter magnitude response
Fig. 7. Position error with and without the FIR filter for aconstant motor
Fig. 8. Position error with and without data validation
Fig. 9. Error with and without data averaging for astationary motor at π/8
Fig. 10. Speed (rad/38μs) for a 10000 rpm rotating motor
Fig. 11. Data control, rotation sense and position estimatorblock algorithm
Fig. 12. Position error for a 70Hz ±π sine position input atthe CORDIC and the system output
Fig. 13. Position error for a 10000 rpm rotating motor atthe CORDIC and the system output
Fig. 14. Position input, estimated position output androtation count for a motor rotating at 20000 rpm
Fig. 15. Simulation block diagram
Fig. 16. The resolver mathematical model
Table 1. Speed calculation errors for different speeds
Table 2. Properties of the proposed method
References
- C. Mohan, R. Sivappagari, and N. R. Konduru, "Review of RDC Soft Computing Techniques for Accurate Measurement of Resolver Rotor Angle," Sensors & Transducers, vol. 150, no. 3, pp. 1-11, 2013.
- C. H. Yim, I. J. Ha, and M. S. Ko, "A resolver-todigital conversion method for fast tracking," IEEE Trans. Ind. Electron., vol. 39, no. 5, pp. 369-378, 1992. https://doi.org/10.1109/41.161468
- A. O. Di Tommaso, and R. Miceli, "A new high accuracy software based resolver-to-digital converter," in IECON Proceedings (Industrial Electronics Conference), 2003, vol. 3, pp. 2435-2440.
- R. Hoseinnezhad, and P. Harding, "A novel hybrid angle tracking observer for resolver to digital conversion," in Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05, 2005, vol. 2005, pp. 7020-7025.
- J. Onno, K. Heiko, and S. Marcel, "FPGA Based Resolver to Digital Converter Using Delta-Sigma Technology," Delta, pp. 931-936, 2006.
- K. Bouallaga, L. Idkhajine, A. Prata, and E. Monmasson, "Demodulation methods on fully FPGAbased system for resolver signals treatment," in 2007 European Conference on Power Electronics and Applications, EPE, no. 1, 2007.
- Analog Devices, "Variable Resolution, 10-Bit to 16- Bit R/D Converter with Reference Oscillator," AD2S1210 datasheet, 2010.
- Analog Devices, "Variable Resolution, Monolithic Resolver-to-Digital Converter," AD2S80A datasheet, 2014.
- L. Idkhajine, a. Prata, E. Monmasson, K. Bouallaga, and M. W. Naouar, "System on Chip controller for electrical actuator," IEEE Int. Symp. Ind. Electron., pp. 2481-2486, 2008.
- L. Ben-Brahim, and M. Benammar, "A new PLL method for resolvers," in 2010 International Power Electronics Conference ECCE Asia, IPEC 2010, no. 4, pp. 299-305, 2010.
- J. Bergas-jane, S. Member, C. Ferrater-simon, G. Gross, R. Ramírez-pisco, S. Galceran-arellano, and J. Rull-duran, "High-Accuracy All-Digital Resolver-to- Digital Conversion," IEEE Trans. Ind. Electron., vol. 59, no. 1, pp. 326-333, 2012. https://doi.org/10.1109/TIE.2011.2143370
- D. A. Khaburi, "Software-based resolver-to-digital converter for DSP-based drives using an improved angle-tracking observer," IEEE Trans. Instrum. Meas., vol. 61, no. 4, pp. 922-929, 2012. https://doi.org/10.1109/TIM.2011.2179825
- N. Noori, and D. A. Khaburi, "A new software-based method for rotor angle calculation," in the 5th Power Electronics, Drive Systems and Technologies Conf., Tehran, pp. 305-310, 2014.
- Y.-H. Kim, and S. Kim, "Software resolver-to-digital converter for compensation of amplitude imbalances using D-Q transformation," J Electr Eng Technol Vol. 8, No. 6, pp. 1310-1319, 2013. https://doi.org/10.5370/JEET.2013.8.6.1310
-
M. Benammar, L. Ben-Brahim, and M. A. Alhamadi, "A novel resolver-to-
$360^{\circ}$ linearized converter," IEEE Sens. J., vol. 4, no. 1, pp. 96-101, 2004. https://doi.org/10.1109/JSEN.2003.820317 - M. Benammar, L. Ben-Brahim, and M. A. Alhamadi, "A high precision resolver-to-DC converter," IEEE Trans. Instrum. Meas., vol. 54, no. 6, pp. 2289-2296, 2005. https://doi.org/10.1109/TIM.2005.858135
- M. Benammar, L. Ben-Brahim, M. A. Alhamadi, and M. El-Naimi, "A Novel Converter for Sinusoidal Encoders," in IEEE Sensors Conference, pp. 1415- 1418, 2006.
- L. Ben-Brahim, M. Benammar, M. A. Alhamadi, N. A. Al-Emadi, and M. A. Al-Hitmi, "A new low cost linear resolver converter," IEEE Sens. J., vol. 8, no. 10, pp. 1620-1627, 2008. https://doi.org/10.1109/JSEN.2008.928924
- A. Kaewpoonsuk, W. Petchmaneelumka, A. Rerkratn, S. Tammaruckwattana, and V. Riewruja, "A novel resolver-to-DC converter based on OTA-based inversesine function circuit," in Proceedings of the SICE Annual Conference, pp. 609-614, 2008.
- L. Ben-Brahim, M. Benammar, and M. a. Alhamadi, "A resolver angle estimator based on its excitation signal," IEEE Trans. Ind. Electron., vol. 56, no. 2, pp. 574-580, 2009. https://doi.org/10.1109/TIE.2008.2002719
- M. Benammar, M. Bagher, and M. Al Kaisi, "Novel linearizer for tangent/cotangent converter," in 2009 16th IEEE International Conference on Electronics, Circuits and Systems, ICECS 2009, pp. 575-578, 2009.
- H. Schmid, "Direct resolver to digital converter," U.S. Patent 5 912 638, June 15, 1999.
- Texas Instruments, Appl. Report SPRA605, pp. 1-23.
- C. Attaianese, and G. Tomasso, "Position measurement in industrial drives by means of low-cost resolver-to-digital converter," IEEE Trans. Instrum. Meas., vol. 56, no. 6, pp. 2155-2159, 2007. https://doi.org/10.1109/TIM.2007.908120
- S. Sarma, V. K. Agrawal, and S. Udupa, "Softwarebased resolver-to-digital conversion using a DSP," IEEE Trans. Ind. Electron., vol. 55, no. 1, pp. 371- 379, 2008. https://doi.org/10.1109/TIE.2007.903952
- Y. Zhu, J. M. Wang, and M. Zhu, "An approach based on AD converted resolver demodulation," in ICACTE 2010 - 2010 3rd International Conference on Advanced Computer Theory and Engineering, Proceedings, vol. 5, no. 1, pp. 192-195, 2010.
- Z. Ming, W. Jianming, D. Ling, Z. Yi, D. Ruzhen, and L. Yu, "A software based robust resolver-todigital conversion method in designed in frequency domain," in Proceedings - 2011 International Symposium on Computer Science and Society, ISCCS 2011, pp. 244-247, 2011.
- A. K. S. Baasch, E. C. Lemos, F. Stein, A. S. Paterno, J. De Oliveira, and A. Nied, "Resolver-to-digital conversion implementation - A filter approach to PMSM position measurement," in International Conference on Power Engineering, Energy and Electrical Drives, no. May 2011.
- S. C. M. Reddy, and K. N. Raju, "Inverse tangent based resolver to digital converter - a software approach," International Journal of Advances in Engineering & Technology, vol. 4, no. 2, pp. 228-235, 2012.