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Online proceedings - EDA Publishing Association

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11-13 May 2011, Aix-en-Provence, France<br />

<br />

Fig. 4. Equivalent Circuit of MEMS Piezoelectric Energy Harvester<br />

III.<br />

SIMULATION RESULT AND DISCUSSION<br />

The simulation results indicate that the displacement at z<br />

direction of fundamental mode 1 provides highest<br />

displacement as shown in Fig. 5. A total of 30 harmonic<br />

frequency steps within range of 220 to 290 Hz were<br />

generated. Fig. 6 to 8 show the graph of displacement, output<br />

voltage and output power versus frequency applied<br />

respectively. The graphs show the expected sharp change and<br />

the peak as the frequency approach the fundamental<br />

resonance Mode 1 value that is 233 Hz.<br />

It is essential for the MEMS piezoelectric inertial generator<br />

to operate at the resonance frequency to harvest optimum<br />

power. Resonant frequency of 233 Hz provides the maximum<br />

displacement of vibration, output voltage and power. Fig. 6<br />

and 8 illustrate maximum displacement of 420µm and<br />

maximum output power of 3.02µW at mode 1 resonance<br />

frequency of 232 Hz. It shows that the device needs to<br />

operate at resonance mode to harvest optimum output power.<br />

Fig. 7. Output voltage produced versus frequency<br />

Fig. 8. Output power produced versus frequency<br />

A. The effect of various volume of the cantilever beam<br />

to its natural frequency<br />

Low resonant frequency is essential in MEMS<br />

piezoelectric inertial generator because most of the ambient<br />

vibrations are at very low frequencies [1]. The power output<br />

will only be optimized if the miniature devices are operated<br />

at the resonance mode. Table III and Fig. 9 illustrate the<br />

volume increment of the cantilever beam decreases the<br />

resonant frequency and increases the peak output power<br />

produced. The larger the volume of the cantilever beam, the<br />

lower the resonant frequency.<br />

Fig. 5. Mem Mech Piezoelectric Analysis<br />

B. The effect of resonant frequency to the peak output<br />

power<br />

Output power of the system will be optimized when it is<br />

operated at the ambient resonance frequency. MEM PZE<br />

piezoelectric analysis was done to compute the output power<br />

produced at the resonance frequency. To obtain resonance<br />

TABLE III<br />

Fig.6. Displacement of vibration versus frequency<br />

SIZES, RESONANT FREQUENCY AND OUTPUT POWER OF PIEZOELECTRIC INERTIAL<br />

GENERATOR<br />

Design<br />

Number<br />

Wbeam Lbeam Resonant<br />

Frequency<br />

Peak Output<br />

Power ( R L=50<br />

ohm)<br />

1 722 2044 1542.00 0.7260<br />

2 442 3018 976.40 0.5765<br />

3 166 3288 620.87 0.8350<br />

4 1010 4299 463.50 1.8216<br />

5 672 5039 232.0 3.0560<br />

87

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