Non-Contact AC Current Measurement Using Vibration Analysis of a MEMS Piezoelectric Cantilever Beam

Document Type : Original Article

Authors

1 Mechatronics Engineering Department, University of Tabriz, Tabriz, Iran

2 Department of Mechanical Engineering, Islamic Azad University, Salmas, Iran

Abstract

This paper presents a non-contact system to measure electrical current crossing a wire. To do so, design and simulation of a piezoelectric cantilever beam with a tip mass is presented using mathematical modeling. The sandwich cantilever beam is composed of two piezoelectric layers and a mid-layer made up of steel. For mathematical modeling, the governing differential equation of the beam is extracted and solved by Galerkin method. Then the output voltage is calculated for different values of external forces. The force applied to the tip mass from the magnetic field of wire is used as external excitation force of the beam. According to the response of the output voltage, the current crossing the wire is calculated. Validation of the model is demonstrated compared to other references. In results section, frequency response behavior and influence of the geometric parameters on output voltage are analyzed. Appropriate values of these parameters should be used in design process of this non-contact sensor to have an observable applied force from the current carrying wire.

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Main Subjects


[1]           F. S. Roberts, Measurement Theory: Cambridge University Press, 1985.
[2]           A. S. Katkar, E. T. Toppo, and M. Satarkar, "Novel approach for measurement of high current by piezoelectric technology," in 5th International Conference on Power Electronics (IICPE), India, pp. 1-6, 2012.
[3]           J. S. Donnal and S. B. Leeb, "Noncontact Power Meter," Sensors Journal, IEEE, vol. 15, pp. 1161-1169, 2015.
[4]           E. J. Moniz, "Engaging Electricity Demand," presented at the MIT Study on the Future of the Electric Grid, Cambridge, MA, USA, 2011.
[5]           S. S. Rao and M. Sunar, "Piezoelectricity and its use in disturbance sensing and control of flexible structures: a survey," Applied mechanics reviews, vol. 47, pp. 113-123, 1994.
[6]           J. Yang, An introduction to the theory of piezoelectricity vol. 9: Springer Science & Business Media, 2004.
[7]           A. Carazo and R. i. T. Bosch, "Novel piezoelectric transducers for high voltage measurements," Doctoral, d'Enginyeria Elèctrica, Universitat Politècnica de Catalunya, Barcelona, 2000.
[8]           E. Leland, P. Wright, and R. White, "Design of a MEMS passive, proximity-based AC electric current sensor for residential and commercial loads," in Procedings of PowerMEMS, Freiburg Germany, pp. 77-80, 2007.
[9]           E. S. Leland, P. Wright, and R. M. White, "A MEMS AC current sensor for residential and commercial electricity end-use monitoring," Journal of Micromechanics and Microengineering, vol. 19, p. 094018, 2009.
[10]         E. S. Leland, C. T. Sherman, P. Minor, R. M. White, and P. K. Wright, "A new MEMS sensor for AC electric current," in Sensors, Kona, HI, pp. 1177-1182, 2010.
[11]         K. Isagawa, D. F. Wang, T. Kobayashi, T. Itoh, and R. Maeda, "Development of a MEMS DC electric current sensor applicable to two-wire electrical appliance cord," in International Conference on Nano/Micro Engineered and Molecular Systems (NEMS), pp. 932-935, 2011.
[12]         Q. Xu, M. Seidel, I. Paprotny, R. M. White, and P. K. Wright, "Integrated centralized electric current monitoring system using wirelessly enabled non-intrusive ac current sensors," in IEEE Sensors, Limerick, Ireland, pp. 1998-2001, 2011.
[13]         W. He, P. Li, Y. Wen, and C. Lu, "A self-powered high sensitive sensor for AC electric current," in Sensors, pp. 1863-1865, 2011.
[14]         A. Erturk and D. J. Inman, Piezoelectric energy harvesting: John Wiley & Sons, 2011.
[15]         S. Kim, "Low power energy harvesting with piezoelectric generator," University of Pittsburgh, 2002.
[16]         D. Shen, J.-H. Park, J. H. Noh, S.-Y. Choe, S.-H. Kim, H. C. Wikle, et al., "Micromachined PZT cantilever based on SOI structure for low frequency vibration energy harvesting," Sensors and actuators A: physical, vol. 154, pp. 103-108, 2009.
[17]         S. S. Rao, Vibration of continuous systems: John Wiley & Sons, 2007.
[18]         J. W. Yi, W. Y. Shih, and W.-H. Shih, "Effect of length, width, and mode on the mass detection sensitivity of piezoelectric unimorph cantilevers," Journal of applied physics, vol. 91, pp. 1680-1686, 2002.
[19]         X. Li, W. Y. Shih, I. A. Aksay, and W. H. Shih, "Electromechanical Behavior of PZT‐Brass Unimorphs," Journal of the American Ceramic Society, vol. 82, pp. 1733-1740, 1999.
[20]         A. Erturk and D. J. Inman, "An experimentally validated bimorph cantilever model for piezoelectric energy harvesting from base excitations," Smart materials and structures, vol. 18, p. 025009, 2009.
[21]         Z. De-Qing, W. Da-Wei, Y. Jie, Z. Quan-Liang, W. Zhi-Ying, and C. Mao-Sheng, "Structural and electrical properties of PZT/PVDF piezoelectric nanocomposites prepared by cold-press and hot-press routes," Chinese Physics Letters, vol. 25, p. 4410, 2008.
[22]         L. Capineri, L. Masotti, V. Ferrari, D. Marioli, A. Taroni, and M. Mazzoni, "Comparisons between PZT and PVDF thick films technologies in the design of low-cost pyroelectric sensors," Review of Scientific Instruments, vol. 75, pp. 4906-4910, 2004.
[23]         M. J. Ramsay and W. W. Clark, "Piezoelectric energy harvesting for bio-MEMS applications," in SPIE's 8th Annual International Symposium on Smart Structures and Materials, pp. 429-438, 2001.