压电振动能量采集器的力电耦合模型及其功率优化.pdf

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1、第26卷第8期传感技术学报V01．26No．82013年8月CHINESEJOURNAIOFSENSORSANDACTUATORSAug．2013AForce-ElectricCouplingModelandPowerOptimizationofPiezoelectricVibrationEnergyHarvesterWANGGuangqing，】lNWenping，ZHANYongzheng，LUYueming(SchoolofInformationandElectronicsEngineering，Z

2、hejiangGongshangUniversity，Hangzhou310018，China)Abstract：Inordertoovercomethedisadvantagesofthetraditionallumpedparametermodelofpiezoelectricvibrationenergyharvester(PVEH)，thisarticlepresentsanimprovedforce·electriccouplingmodel(FECM)topredicttheoutputper

3、formancesofthePVEHbyconsideringthedynamicmodeshapeandthestraindistributionofthebender．AdimensionlesscorrectionfactorisadoptedintheFECMtoformulatetherelationshipexpressionbetweenthemodeshapeandthevibrationamplitudeofthePVEHwithcurvefittingmethod．Theequival

4、entparameters(suchasmass，stiffness)ofFECMareobtainedbyusingtheRayleigh—Ritzmodalanalysismethod，thegoverningmotionequationsandtheexactanalyticalsolutionofcantileveredpiezoelectricvibrationenergyharvesterexcitedbypersistentbasemotionsaredevelopedaccordingto

5、theelasticdynamicsprinciple．Thesteadystateelectricalandmechanicaloutputresponseexpressionsarederivedforarbitraryfrequencyexcitations．Finally，theop—timizationsoftheloadresistanceandtheoutputpowerofthePVEHarecarriedoutandtheoptimizedoutputpowerundershortcir

6、cuitandopencircuitconditionsareobtained，respectively．TheaccuracyoftheoutputperformancesofFECMisidentifiedfromthoseofthecoupleddistributedparametermodel(CDPM)．AgoodagreementisfoundbetweentheanalyticalresultsofFECMandCDPM，whichteststhevalidityoftheproposedF

7、ECMandcanimprovethepredictionsofoutputperformancesofPVEH．Keywords：vibrationenergyharvester；force—electriccouplingmodel；poweroptimization；numericalanalysis；curvefittingEEACC：2860Adoi：10．3969／j．issn．1004-1699．2013．08．012压电振动能量采集器的力电耦合模型及其功率优化米王光庆，金文平，展永政，陆跃

8、明(浙江T商大学信息与电子工程学院，杭州310018)摘要：为提高传统压电振动能量采集器集总参数模型的性能预测精度，考虑悬臂梁的振型信息与轴向应变分布情况，提出了一种改进的力电耦合模型，该模型引入无因次幅值修正因子，通过曲线拟合方法确定了修正因子与振型函数和振动幅值之问的关系表达式；利用Rayleigh—Ritz模态分析法确定了力电耦合模型中的集总等效参数(如质量、刚度等)，并根据弹性动力学原理建立_r能量采集器的运动控制方程