2-198 © Physik Instrumente (PI) GmbH & Co. KG 2008. Subject to change without notice. Cat120E Inspirations2009 08/10.18 Piezo Nano Positioning follow. Rapid actuation of nanomechanisms can cause recoil-generated ringing of the actuator and any adjacent com- ponents. The time required for this ringing to damp out can be many times longer than the move itself. In time-critical industrial nanopositioning applications, this problem obviously grows more serious as motion throughputs increase and resolution requirements tighten. Classical servo-control tech- niques cannot solve this prob- lem, especially when reso- nances occur outside the servo-loop such as when ring- ing is excited in a sample on a fast piezo scanning stage as it reverses direction. A solution is often sought in reducing the scanning rate, thereby sacrific- ing part of the advantage of a piezo drive. A patented real-time feedfor- ward technology called InputShaping ® nullifies reso- nances both inside and outside the servo-loop and thus elimi- nates the settling phase. For more information see p. 2-201 or visit www.Convolve.com. Heat Generation in a Piezo Actuator in Dynamic Operation PZT ceramics are (reactive) capacitive loads and therefore require charge and discharge currents that increase with operating frequency. The ther- mal active power, P (apparent power x power factor, cos H9272), generated in the actuator dur- ing harmonic excitation can be estimated with the following equation: (Equation 23) Heat generation in a piezo actu- ator. Where: P = power converted to heat [W] tan H9254 = dielectric factor (? power factor, cos H9272, for small angles L50883 and H9272) f = operating frequency [Hz] C = actuator capacitance [F] U p-p = voltage (peak-to-peak) For the description of the loss power, we use the loss factor tan L50883 instead of the power fac- tor cos H9272, because it is the more common parameter for characterizing dielectric materi- als. For standard actuator piezoceramics under small-sig- nal conditions the loss factor is on the order of 0.01 to 0.02. Thismeansthatupto2%of the electrical power flowing through the actuator is convert- ed into heat. In large-signal conditions however, 8 to 12 % of the electrical power pumped into the actuator is converted to heat (varies with frequency, temperature, amplitude etc.). Therefore, maximum operating temperature can limit the piezo actuator dynamics. For large amplitudes and high frequen- cies, cooling measures may be necessary. A temperature sen- sor mounted on the ceramics is suggested for monitoring pur- poses. For higher frequency operation of high-load actuators with high capacitance (such as PICA-Power actuators, see p. 1-88), a special amplifiers employing energy recovery technology has been devel- oped. Instead of dissipating the reactive power at the heat sinks, only the active power used by the piezo actuator has to be delivered. The energy not used in the actuator is returned to the amplifier and reused, as shown in the block diagram in Fig. 26. The combination of low-loss, high-energy piezoceramics and amplifiers with energy recov- ery are the key to new high- level dynamic piezo actuator applications. For dynamic applications with low to medium loads, the newly developed PICMA ® actu- ators are also quite well suited. With their high Curie tempera- ture of 320 °C, they can be operated with internal temper- atures of up to 150 °C. Fig. 26. Block diagram of an amplifier with energy recovery for higher frequency applications Piezo Actuator Electrical Fundamentals (cont.)
2-199 Piezo Nano Positioning Piezo Flexure Stages / High-Speed Scanning Systems Nanopositioning / Piezoelectrics Linear Actuators & Motors Fast Steering Mirrors / Active Optics Piezo Drivers / Servo Controllers Piezoelectrics in Positioning Nanometrology Micropositioning Linear Vertical & Tip/Tilt 2- and 3-Axis 6-Axis Single-Channel Multi-Channel Modular Accessories Index Control of Piezo Actuators and Stages Position Servo-Control Fig. 28. Block diagram of a typical PI closed-loop piezo positioning system Fig. 29. Closed-loop position servo-control. For optimum performance, the sensor is mounted directly on the object to be positioned (direct metrology) Fig. 27. Variety of digital piezo controllers Position servo-control elimi- nates nonlinear behavior of piezoceramics such as hystere- sis and creep and is the key to highly repeatable nanometric motion. PI offers the largest selection of closed-loop piezo mechanisms and control electronics world- wide. The advantages of posi- tion servo-control are: L52159 High linearity, stability, repeatability and accuracy L52159 Automatic compensation for varying loads or forces L52159 Virtually infinite stiffness (within load limits) L52159 Elimination of hysteresis and creep effects PI closed-loop piezo actuators and systems are equipped with position measuring systems providing sub-nanometer reso- lution, linearity to 0.01 %, and bandwidths up to 10 kHz. A servo-controller (digital or ana- log) determines the output voltage to the PZT ceramics by comparing a reference signal (commanded position) to the actual sensor position signal (see Fig. 28). For maximum accuracy, it is best if the sensor measures the motion of the part whose posi- tion is of interest (direct metrol- ogy). PI offers a large variety of piezo actuators with integrated direct-metrology sensors. Capacitive sensors provide the best accuracy (see Nano- metrology p. 3-1 ff ). Simpler, less accurate systems measure things like strain in drive ele- ments.
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