Active vibration control of piezo stack actuator with consideration to hysteresis and saturation effects
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Date
2016-05-01
Authors
Ahmad Zhafran Ahmad Mazlan
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Abstract
The piezo stack actuator response in terms of force-displacement-acceleration as a function of the excitation voltage and frequency are measured to determine the hysteresis and saturation characteristics which are represented using quadratic polynomial equations. Saturation of force, displacement and acceleration occurred from 400 Hz to 500 Hz for the 400 V excitation voltages. These hysteresis and saturation characteristics are used in the active vibration control (AVC) system which resulted in error reduction of 50 - 67 %. This proves the importance of including the hysteresis and saturation of the actuator in the design of the AVC system. Transmissibility measurement showed the effective frequency range of 250 - 450 Hz. The practical applicability of the AVC system was investigated using an electric die grinder with a nominal speed of 25000 rpm and the vibration transmissibility was reduced by 91 %. Further improvement was achieved using the linearized hysteresis model together with three anti-windup schemes (clamping, back-calculation and tracking mode) to avoid fast voltage saturation of the piezo stack actuator and the performance was compared with the active force control (AFC) scheme. The results showed that the PID-AFC was superior to the PID-anti-windup schemes with a total vibration transmissibility reduction of 97.7 %. The vibration of the structure can be limited to be less than the saturation displacement of the actuator in the AVC system using the structural dynamic modification (SDM) and this has resulted in a wider effective frequency range of 200 - 510 Hz with the vibration transmissibility reduction of 96 % when compared with the initial design. In this research, the main contribution is the determination of the hysteresis and saturation curves of the piezo stack actuator in terms of force-displacement-voltage relationship as a function of excitation frequencies.