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A Non-linear Tent Map-Based ADC Design for Sensitive Condition Monitoring Measurement Systems

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Advances in Asset Management and Condition Monitoring

Abstract

Condition monitoring systems generally require data acquisition (DAQ) systems. These in turn necessitate high-precision analogue-to-digital converters (ADCs) to sample and convert analogue signals from sensors into digital data, for establishing the condition of the monitored equipment. There is generally a need for high-accuracy measurement of minimally changing parameters in condition monitoring applications, indicating small changes in performance of system components. This requires DAQ systems containing high-resolution and precision ADCs, which increases the overall cost of the measurement system. This research employs chaos-based, non-linear Tent Map (TM) circuitry to perform analogue-to-digital conversion. As previous research has demonstrated TM-based ADCs, developed using low-cost components, can detect small changes in an input voltage signal over a relatively large voltage range and be incorporated with FPGAs for signal conditioning. This work investigates the potential of a TM ADC for detecting voltage differences of 100 µV over a range of 0–1.8 V. The analysis involved simulating the ADC and assessing behavior when noise was induced in the system and gains of its TM circuits altered. Results showed the ADC could detect 100 µV changes in a low frequency voltage signal, providing the TM circuits had an ideal gain of 2 and no noise was present in the system. Reducing the gain of the TM circuits and noise affected the accuracy and precision of the ADC. For this reason, this work will aim to develop an algorithm for self-calibration, to run in real-time on an FPGA, enabling a precision ADC to be realized.

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References

  1. Berberkic, S.: Measurement of small signal variations using one-dimensional chaotic maps. University of Huddersfield, p. 222 (2014)

    Google Scholar 

  2. Upton, D.W., et al.: Low power high-speed folding ADC based partial discharge sensor for wireless fault detection in substations. In: 2018 2nd URSI Atlantic Radio Science Meeting (AT-RASC) (2018). https://doi.org/10.23919/ursi-at-rasc.2018.8471511

  3. Basu, R., et al.: An algorithmic approach for signal measurement using symbolic dynamics of tent map. IEEE Trans. Circ. Syst. I Regul. Pap. 65(7), 2221–2231 (2018). https://doi.org/10.1109/TCSI.2017.2773202

    Article  MathSciNet  Google Scholar 

  4. Baker, G.L., Gollub, J.P.: Chaotic Dynamics: An Introduction, 2nd edn, p. 256. Cambridge University Press, Cambridge (1996)

    Google Scholar 

  5. Chen, G., Huang, Y., Krantz, S.G. (eds.): Chaotic Maps: Dynamics, Fractals, and Rapid Fluctuations. Synthesis Lectures on Mathematics and Statistics, vol. 4. Morgan & Claypool Publishers (2011). https://doi.org/10.2200/s00373ed1v01y201107mas011

  6. Medio, A., Lines, M.: Nonlinear Dynamics: A Primer. Cambridge University Press, Cambridge (2001)

    Book  Google Scholar 

  7. Gilmore, R., Lefranc, M.: The topology of chaos: Alice in Stretch and Squeezeland. Second revis and enlarg. Wiley-VCH, Weinheim (2011)

    Google Scholar 

  8. Vries, J.D.: Topological dynamical systems: an introduction to the dynamics of continuous mappings, vol. 59. De Gruyter, Berlin; Boston (2014)

    Google Scholar 

  9. Liu, J., et al.: A tent map based A/D conversion circuit for robot tactile sensor. J. Sens. 2013 (2013). https://doi.org/10.1155/2013/624981

  10. Park, J., Mackay, S.: Practical Data Acquisition for Instrumentation and Control Systems. Jordan Hill, UNITED KINGDOM: Elsevier Science & Technology (2003)

    Google Scholar 

  11. Upton, D.W.: Low Power Signal Processing Techniques for Radiometric Partial Discharge Detection in Wireless Sensor Network. In: University of Huddersfield Engineering and Technology, p. 213 (2018)

    Google Scholar 

  12. Moghimi, R.: Curing Comparator Instability with Hysteresis. Analog Dialogue, vol. 34 (2000)

    Google Scholar 

  13. Sangwine, S.: Electronic Components and Technology, 3rd edn. CRC Press, Boca Raton (2007)

    Google Scholar 

  14. Venes, A.G.W., van-de-Plassche, R.J.: An 80-MHz, 80-mW, 8-b CMOS folding A/D converter with distributed track-and-hold preprocessing. IEEE J. Solid-State Circ. 31(12), 1846–1853 (1996). https://doi.org/10.1109/4.545804

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Acknowledgements

The authors gratefully acknowledge the UK’s Engineering and Physical Sciences Research Council (EPSRC) funding of the Future Metrology Hub (Grant Ref: EP/P006930/1).

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Correspondence to Philippa Hazell .

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Hazell, P., Mather, P., Longstaff, A., Fletcher, S. (2020). A Non-linear Tent Map-Based ADC Design for Sensitive Condition Monitoring Measurement Systems. In: Ball, A., Gelman, L., Rao, B. (eds) Advances in Asset Management and Condition Monitoring. Smart Innovation, Systems and Technologies, vol 166. Springer, Cham. https://doi.org/10.1007/978-3-030-57745-2_73

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  • DOI: https://doi.org/10.1007/978-3-030-57745-2_73

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-57744-5

  • Online ISBN: 978-3-030-57745-2

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