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Analysis and Design of a Novel Three-Level LLCC Inverter ...

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supply, a novel scheme was developed by combining a singlephase<br />

three-level PWM inverter <strong>and</strong> a <strong>LLCC</strong> filter shown in<br />

Fig. 1. It is designed in a way to reduce the total harmonic<br />

distortion (THD) <strong>of</strong> the motor voltage, <strong>and</strong> to compensate<br />

locally for the reactive power <strong>of</strong> the motor, since the motor is<br />

supplied via a long cable due to its displacement from the<br />

power supply.<br />

metallic blocks connected with eight piezo-ceramic multilayer<br />

stacks with alternating polarization. The structure is excited by<br />

the piezo stacks at its mechanical eigenfrequency which is<br />

designed for 35 kHz (called tangential mode) so that each<br />

metallic block would oscillate in the plane <strong>of</strong> the ring.<br />

The structure is able to oscillate also orthogonally to the<br />

surface <strong>of</strong> the stator rings <strong>and</strong> rotor disk (normal mode),<br />

Tangential direction<br />

CsT<br />

L sT<br />

L mT<br />

C mT<br />

R pT<br />

C pT<br />

L pT<br />

u CpT<br />

R mT<br />

<strong>Inverter</strong> filter motor<br />

Tangential<br />

piezoelement<br />

Tangential Mode<br />

Normal<br />

direction<br />

Normal<br />

piezoelement<br />

Rotor disk<br />

Metallic<br />

block<br />

L sN<br />

L mN<br />

C mN<br />

CsN<br />

Normal Mode<br />

R pN<br />

C pN<br />

L pN<br />

u CpN<br />

R mN<br />

<strong>Inverter</strong> filter motor<br />

By combining the three-level PWM inverter <strong>and</strong><br />

aforementioned resonant filter, the driving voltage <strong>of</strong> the<br />

multi-mass piezoelectric motor can even be varied in a<br />

suitable frequency range for characterizing the built actuators;<br />

though the output filter shows an optimized filter performance<br />

at minimized volume <strong>and</strong> weight, compared to the classical<br />

resonant inverters.<br />

Voltage <strong>and</strong> current cascade controls were designed to act<br />

as inner control loops <strong>of</strong> the whole piezoelectric brake actuator<br />

control system. A hysteresis current controller [13] [14] is<br />

employed in the inner control loop to improve the dynamic<br />

behaviour.<br />

Summarily, the proposed single-phase three-level <strong>LLCC</strong><br />

inverter is studied in this contribution, <strong>and</strong> the employed<br />

cascaded digital voltage <strong>and</strong> hysteresis current controller are<br />

discussed in detail. Simulations as well as experimental results<br />

are presented.<br />

Fig. 2 Operating Principle <strong>of</strong> a Multi-Masse Ultrasonic Motor<br />

excited by normal piezo stacks at the same frequency as the<br />

tangential mode, but with appropriate phase shift. Thus,<br />

elliptical movements <strong>of</strong> the metallic blocks will result that<br />

generate thrust by temporary clamping <strong>of</strong> the disks [1] [5].<br />

The operating peak voltage <strong>of</strong> the fundamental for both<br />

modes is 270V, <strong>and</strong> the maximum power consumption is<br />

1.5kW for tangential mode <strong>and</strong> 60W for normal mode.<br />

II. PRINCIPLE OF MOTOR OPERATION AND DRIVING SCHEME<br />

The multi-mass ultrasonic motor (MM-USM) consists <strong>of</strong><br />

two pairs <strong>of</strong> stator rings <strong>and</strong> two rotor discs connected to the<br />

shaft. One rotor disc is s<strong>and</strong>wiched between a pair <strong>of</strong> stator<br />

rings, as shown in Fig. 2. Each stator ring houses eight<br />

Fig. 3 Frequency response u Cp /u filter

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