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In the space gravitational wave telescope, the Point Ahead Angle Mechanism (PAAM) is the essential core device to realize ultra-long beam distance measurement and nrad/Hz1/2 level ultra-high precision pointing control. The Piezoelectric Actuator (PZA) is the core component of the PAAM, which mainly controls the displacement through the external input voltage or charge, and drives the PAAM to make the laser beam produce a small inclination Angle to realize the high precision Angle control of the spaceborne telescope. Therefore, the displacement response of piezoelectric ceramic actuators directly affects the pointing control performance of the PAAM. However, the inherent hysteresis of piezoelectric materials causes the linearity of the displacement response of PZA to deteriorate, which makes it difficult to control the direction of the PAAM. In order to realize the high linearity drive of PZA, the charge drive method is worth trying. This paper studies the response behavior of PZA driven by charge. In order to verify the advantage of the charge-driven method in improving the linearity of the displacement response of PZA, the comparison of the charge-driven method with the voltage-driven method is made. The experimental results show that although the charge-driven method has an advantage in improving the linearity of the displacement response compared with the voltage-driven method, there is still poor linearity at low frequency. In this paper, it is pointed out that the main cause of linearity variation under low-frequency signal is the mismatch of circuit components caused by the change of equivalent capacitance of PZA with the signal. In order to accurately describe the displacement response behavior of PZA under low-frequency signals, this paper proposes a calculation method for the equivalent capacitance of PZA. By fitting the equivalent capacitance, a mathematical model of the displacement response of the PZA under charge driving is established, and the displacement response characteristics of the PZA under charge driving are quantitatively analyzed. The accuracy and feasibility of the calculation method are verified by numerical simulation and experimental verification. The results show that when a charge amplifier controlled by 5 V, 0.05 Hz~5 Hz sine wave signal is used to drive a certain type of piezoelectric actuator, the maximum deviation of displacement response between the analysis results and the experimental results is within 1.35%. Which provides a possible analysis method and realization way for the high-precision pointing control of the Point Ahead Angle Mechanism of the space gravitational wave detection telescope.
The principle of PAAM in spaceborne telescopes. (a) Basic principle of spaceborne telescope; (b) Basic principle of PAAM
Basic circuit structures of (a) voltage driving mode and (b) charge driving mode of PZA
Displacement response and linearity of PZA under voltage drive
Displacement response and linearity of PZA under charge drive
The relationship between Q-U mapping and excitation signal of PZA. (a) Signal amplitude; (b) Signal frequency; (c) Signal waveform
(a) Voltage-charge mapping relationship and (b) equivalent capacitance variation of PZA under sinusoidal excitation
(a) Real displacement and theoretical displacement response of PZA and (b) the linearity of both
PZA displacement response experiment platform block diagram
Physical diagram of PZA displacement response experiment platform
Comparison between simulation and measurement of linearity of displacement response of charge-driven PZA
Comparison between simulation and measurement of displacement response linearity of charge-driven PZA under different signals