1. NATIONAL CHENG KUNG UNIVERSITY SERVO CONTROL LABORATORY 低頻壓電發電器之介紹 Introduction of piezoelectric electric power generator on low frequency 專題討論 Seminar Speaker ：廖 偉 翔 Adviser ：蔡 明 祺 教授

2. Outline 正壓電之應用 振動式發電器之種類 壓電發電等效模型 壓電發電之特性分析 實驗結果之比對

3. Application of direct piezoelectric Energy harvesting EEL Princeton University 無電池無線開關 先寧電子 Piezoelectric shoes MIT 超音波接收器壓電式加速規 棒球棒之應用 Shunt circuit 壓電式打火機壓電變壓器

4. Different ambient energy sources 能量源備註功率密度 ( μW/cm 3 ) 光小的表面積 室外 150 ～ 15000 室內＜ 10 振動變動性振動 壓電式～ 200 靜電式 50 ～ 100 電磁式＜1＜1 熱微量溫度梯度 15 ( 10 ℃ 溫差 ) vibrations ： piezoelectric electrostatic electromagnetic

5. Equivalent model for open circuit electric energy stored on PZT ：

6. Low-frequency equivalent model on low-frequency condition, mass and damper parameter will be neglected. equation be simplified to:or can be rewritten as: the relationships can be represented by the equivalent circuit model:

7. Analogy 類比

8. Power harvesting on vibration 工作頻率： 0~5 Hz 工作頻率： 50~200 Hz

9. Property analysis( i ) length ： width ： thickness ： area ： volume ： 3-1 mode case where,, are space- distribution parameter by volume integration to piezoelectric element and take time-differential where

10. Property analysis( ii ) equivalent circuit ： Norton’s E.C Thevenin’s E.C parameteroperation CpCp IsIs VsVs E

11. Available electrical energy( i ) Can be determined in two ways (1)electric energy stored on capacitor electric energy electric power

12. Available electrical energy( ii ) Can be determined in two ways (2)electric power through a known load for harmonic vibration or

13. Experiment Procedure dimensionssize(mm) LpLp 30 LsLs 58 w15 bfbf 7 tptp 0.3 tsts unimorph prototype total volume

14. Open circuit voltage for peak force open circuit voltage versus force, open circuit voltage free capacitance frequency 3Hz parametervaule CpCp 42nF VsVs 20V

15. Resistance load voltage and peak power versus resistance for peak force

16. Storage capacitor electric energy is stored into capacitor for peak force IsSpice simulation Experiment

17. NATIONAL CHENG KUNG UNIVERSITY SERVO CONTROL LABORATORY Thanks for your attention