In the mathematical model of electrostatic sensors established by Yan Yong in previous studies, the thickness of the insulating layer was not taken into account in the model. In order to study the static monitoring of electrostatic sensors in more depth, this paper considers the influence of insulation layer when establishing the mathematical model of the sensor. By establishing a mathematical model, the point charge measurement model was deduced and formulated. By studying the sensitivity of the sensor, it is concluded that the sensor insulation layer must be considered. The thickness of the insulation layer reduces the sensitivity of the sensor, and the relationship between the sensor spatial sensitivity and the grinding particle size distance is obtained. Compared with the models established by the predecessors, it is concluded that the mathematical model constructed in this paper is feasible and reliable. For the future research of electrostatic sensors.
Powrie, H.E.G. (2000) Use of Electrostatic Technology for Aero Engine Oil System Monitoring. Proceedings of IEEE Aerospace Conference 2000, Big Sky, MT, March 2000, 57-72. https://doi.org/10.1109/AERO.2000.877883
Powrie, H.E.G. and Fisher, C.E. (1999) Engine Health Monitoring: Towards Total Prognostics. Proceedings of IEEE Aerospace Conference 1999, Snowmass at Aspen, CO, March 1999, 11-20. https://doi.org/10.1109/AERO.1999.789759
Morris, S., Wood, R.J.K. and Harvey, T.J. (2002) Use of Electrostatic Charge Monitoring for Early Detection of Adhesive Wear in Oil Lubricated Contacts. Journal of Tribology, Transactions of the ASME, 124, 288-296. https://doi.org/10.1115/1.1398293
Liu, R.C., Zuo, H.F., Sun, J.Z., et al. (2017) Simulation of Electrostatic Oil Line Sensing and Validation Using Experimental Results. Tribology International, 105, 15-26. https://doi.org/10.1016/j.triboint.2016.09.026
Gajewski, J.B. (1989) Continuous Non-Contact Measurement of Electric Charges of Solid Particles in Pipes of Pneumatic Transport. I. Physical and Mathematical Models of a Method. Conference Record of the IEEE Industry Applications Society Annual Meeting, San Diego, 1-5 October 1989.