CN108828444A - A kind of piezoelectric generator equivalent circuit parameter based on electric signal measurement determines method - Google Patents
A kind of piezoelectric generator equivalent circuit parameter based on electric signal measurement determines method Download PDFInfo
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- CN108828444A CN108828444A CN201810930038.7A CN201810930038A CN108828444A CN 108828444 A CN108828444 A CN 108828444A CN 201810930038 A CN201810930038 A CN 201810930038A CN 108828444 A CN108828444 A CN 108828444A
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- G—PHYSICS
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- G01R—MEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES
- G01R31/00—Arrangements for testing electric properties; Arrangements for locating electric faults; Arrangements for electrical testing characterised by what is being tested not provided for elsewhere
- G01R31/34—Testing dynamo-electric machines
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Abstract
The invention discloses a kind of piezoelectric generator equivalent circuit parameters based on electric signal measurement to determine method：Piezoelectric generator one end is fixed on vibration source, the other end is free, keeps constant sinusoidal vibration acceleration amplitude a, obtains different loads resistance R by frequency sweepLThe relation curve of lower piezoelectric generator output voltage and vibration frequency；Determine short-circuit resonant frequency fsc, open-circuit resonant frequency foc, direct capacitance Cmc, mechanical quality factor Qoc, maximum power value Popt, resistance value RML, short-circuit resonant voltage VML(ωsc)；Equivalent inductance L is calculatedm, equivalent capacity Cm, equivalent resistance Rm, equivalent inpnt stress VF, piezoelectric coupling coefficient A, direct capacitance CmcValue.The present invention can accurately describe the output voltage characteristic of piezoelectric generator and the relationship of load, environmental vibration frequency and acceleration, and cost is relatively low for electricity measuring Instrument needed for measurement.
Description
Technical field
The present invention relates to being related to vibration environment energy collection technology and circuit design field, more specifically, it relates to
A kind of piezoelectric generator equivalent circuit parameter based on electric signal measurement determines method.
Background technique
The vibrational energy being widely present in environment can be converted to electric energy by vibrational energy collector part, and energy conversion is adopted
Mode is divided into electrostatic, electromagnetic type and piezoelectric type three classes according to the difference of electromechanical transformation principle.It is electrostatic by can power transformation
Volume change caused by Rong Yin vibrates realizes that the most attracting characteristic of this method is can to pass through silicon with IC compatibility
Micro-processing technology manufacture, and produced in batches.But it in order to realize voltage constraint or the charge confinement at capacitor both ends, needs solely
Vertical power supply is supported.Electromagnetic type is produced electricl energy by vibration of the conductor in magnetic field.The induced voltage that this mode generates is very
It is small, induced voltage can be improved using transformer, raising wire circle and raising magnetic field strength, but these methods are all by size
Limitation.Mechanical energy is converted to electric energy by piezoelectric effect by piezoelectric generator.This mode generallys use cantilever beam structure
And mass block is placed on cantilever separate end to constitute oscillatory system, compared with above two energy transform mode, it can achieve
Higher energy density.Piezoelectricity conversion regime has lot of advantages：It can directly generate suitable voltage first, not need to become
Pressure；Secondly, it needs initial voltage unlike being converted electrostatic；Third, it does not have structure design limitation, in theory it
Mechanical damping coefficient can be designed smaller；4th, piezo-electric device does not have electromagnetic interference.Vibration is generally deposited around us
It both brings noise pollution, and acceleration equipment loss also results in the waste of the energy.
It is beam type in the research process that mechanical energy is converted into electric energy when piezoelectric generator is motivated by extraneous vibration
The piezoelectric generator model that theorizes is essential element task.Researchers at home and abroad are directed to piezo-electric generating mechanism at present
Expanded some researchs by model, but due to the researcher for being engaged in piezoelectric generator technical research possess it is various each
The specialty background (electronics, machinery, Material Physics etc.) of sample, so the form of these models and application field also respectively have difference, than
Such as " spring mass block damped vibration model ", as shown in Figure 1, mainly including spring, mass block, damper and pedestal.Work as pedestal
When vibrating under the action of dynamic excitation, mass block vibrates therewith, so that extraneous vibrational energy is converted into electric energy.This
Model effect is that " damping of spring mass block is shaken with being somebody's turn to do by the conversion process of the mechanical energy as caused by oscillating mass block to electric energy
Linear damping in movable model " system indicates.But for electronic field engineer or researcher, this model can not be
Modeling analysis is carried out in circuit simulating software, to limit this model in the application of electronic field.
And another dynamic transformer model, as shown in Fig. 2, can then carry out modeling point in circuit simulating software
Analysis.Existing some circuit parameters extraction methods calculate determining parameter, required survey by the vibrational state of measurement piezoelectric generator
Measuring appratus such as laser doppler vialog is expensive.If proposing, a kind of simple electricity measuring Instrument carries out the side of parameter extraction
Method can then reduce organs weight cost.
Summary of the invention
Purpose of the invention is to overcome the shortcomings in the prior art, provides a kind of piezoelectricity hair based on electric signal measurement
Motor equivalent circuit parameter determines method, can accurately describe the defeated of piezoelectric generator by the model parameter that the method is extracted
Out voltage characteristic and load, environmental vibration frequency and acceleration relationship, and the electricity measuring Instrument cost needed for measuring compared with
It is low.
The purpose of the present invention is what is be achieved through the following technical solutions.
Piezoelectric generator equivalent circuit parameter based on electric signal measurement of the invention determines method, includes the following steps：
Piezoelectric generator one end is fixed on vibration source by step 1, and the other end is free, keeps constant sinusoidal vibration acceleration
Amplitude a is spent, different loads resistance R is obtained by frequency sweepLThe relation curve of lower piezoelectric generator output voltage and vibration frequency；
Step 2, the different loads resistance R obtained according to step 1LLower piezoelectric generator output voltage and vibration frequency
Relation curve determines short-circuit resonant frequency fsc, open-circuit resonant frequency foc, direct capacitance Cmc, mechanical quality factor Qoc, maximum work
Rate value Popt, resistance value RML, short-circuit resonant voltage VML(ωsc)；
Step 3, the f that will be obtainedsc、foc、Cmc、Qoc、Popt、RML、VML(ωsc), a, bring following formula into and pressure be calculated
Electric generator circuit model parameters：Equivalent inductance Lm, equivalent capacity Cm, equivalent resistance Rm, piezoelectric generator equivalent inpnt stress
VF, the piezoelectric coupling coefficient A of piezoelectric generator, piezoelectric generator direct capacitance CmcValue,
VF=ma
Rm=A2RML
Wherein, m is the equivalent mass of piezoelectric generator, ωocIt is angular frequency corresponding to open-circuit resonant frequency, ωscIt is short
Angular frequency corresponding to the resonance frequency of road；The direct capacitance CmcIt is obtained by capacitance meter measurement piezoelectric generator capacitor.
Short-circuit resonant frequency f described in step 2scBe load resistance be 50 Ω when maximum output voltage corresponding to frequency
Rate value；The open-circuit resonant frequency focFrequency values corresponding to maximum output voltage when being load open circuit；The direct capacitance
CmcIt is obtained by capacitance meter measurement piezoelectric generator capacitor；The mechanical quality factor QocOutput voltage and vibration when for load open circuit
The Q value of the relation curve of dynamic frequency；Fixed vibration frequency is fsc, scanning change load resistance RLResistance value, measurement output voltage V is simultaneously
And computational load RLConsumed power P takes maximum power value PoptCorresponding resistance value RMLWith corresponding short-circuit resonant voltage VML
(ωsc)。
Compared with prior art, beneficial effect brought by technical solution of the present invention is：
The piezoelectric generator model parameter that the method proposed through the invention is extracted can accurately describe beam type
The relationship of the output voltage characteristic of piezoelectric generator and load, environmental vibration frequency and acceleration, and measure required electricity
Cost is relatively low for measuring instrument.Based on this equivalent-circuit model, researcher can relatively accurately simulate in circuit simulating software
Experiment condition pushes the electrology characteristic of electric generator out.
Detailed description of the invention
Fig. 1 is the spring mass block damped vibration model schematic diagram of existing piezoelectric generator；
Fig. 2 is the equivalent-circuit model schematic diagram of existing piezoelectric generator.
Specific embodiment
The invention will be further described with reference to the accompanying drawing.
The equivalent-circuit model of piezoelectric generator as shown in Fig. 2, piezoelectric generator is divided into mechanical domain and electrical domain by the model,
It is connected with the controlled source that gain is A, all mechanical parameters in mechanical domain, such as power, damping, quality, is all used between the two
Electrical quantities substitution, such as voltage source, capacitor, inductance and resistance.V in figureFRepresent the equivalent inpnt stress of piezoelectric generator；It is equivalent
Inductance LmRepresent the equivalent mass of piezoelectric generator；Equivalent resistance RmRepresent mechanical damping；Equivalent capacity CmRepresent piezoelectric generator
Mechanical stiffness；A represents the piezoelectric coupling coefficient of piezoelectric generator；CmcIndicate the capacitor of piezoelectric generator；V is piezoelectric generator
In load RLOn voltage.
Equivalent-circuit model is it is found that in resonance frequency f according to fig. 2MLThe reactance component L of lower circuitm、CmAnd CmcReactance is mutual
It offsets, if the load resistance R under this frequencyLFor RML=Rm/A2When, load RLOn power reach maximum value Popt：
Wherein, a is sinusoidal vibration acceleration amplitude.
In resonance frequency fMLUnder, load resistance RML=Rm/A2When, output voltage VMLExpression formula is:
Wherein, ω is the corresponding angular frequency of vibration frequency, ωscIt is short-circuit resonant frequency fscCorresponding angular frequency.
Circuit can regard low pass circuit system as at this time, in ωML=ωSCThere is extreme point at place, and short-circuit resonant voltage is：
Wherein, m is the equivalent mass of piezoelectric generator.
Assuming that load resistance RLInfinity, circuit are in open-circuit condition, then open-circuit voltage VocExpression formula is：
Wherein, ωocIt is open-circuit resonant frequency focCorresponding angular frequency.
Circuit can regard low pass circuit system as at this time, in open-circuit resonant frequency focCorresponding angular frequencyocThere is extreme value at place
Point, open-circuited resonant circuit QocValue is：
Piezoelectric generator equivalent circuit parameter based on electric signal measurement of the invention determines method, includes the following steps：
Piezoelectric generator one end is fixed on vibration source by step 1, and the other end is free, keeps constant sinusoidal vibration acceleration
Amplitude a is spent, different loads resistance R is obtained by frequency sweepLThe relation curve of lower piezoelectric generator output voltage and vibration frequency.
Step 2, the different loads resistance R obtained according to step 1LLower piezoelectric generator output voltage and vibration frequency
Relation curve determines short-circuit resonant frequency fsc, open-circuit resonant frequency foc, direct capacitance Cmc, mechanical quality factor Qoc, maximum work
Rate value Popt, resistance value RML, short-circuit resonant voltage VML(ωsc)。
The short-circuit resonant frequency fscBe load resistance be 50 Ω when (near short circuit) maximum output voltage corresponding to
Frequency values；The open-circuit resonant frequency focFrequency values corresponding to maximum output voltage when being load open circuit；The Static Electro
Hold CmcIt is obtained by capacitance meter measurement piezoelectric generator capacitor；The mechanical quality factor QocWhen for load open circuit output voltage with
The Q value of the relation curve of vibration frequency；Fixed vibration frequency is fsc, scanning change load resistance RLResistance value measures output voltage V
And computational load RLConsumed power P takes maximum power value PoptCorresponding resistance value RMLWith corresponding short-circuit resonant voltage VML
(ωsc)。
Step 3, the f that will be obtainedsc、foc、Cmc、Qoc、Popt、RML、VML(ωsc), a, bring following formula into and pressure be calculated
Electric generator circuit model parameters：Equivalent inductance Lm, equivalent capacity Cm, equivalent resistance Rm, piezoelectric generator equivalent inpnt stress
VF, the piezoelectric coupling coefficient A of piezoelectric generator, piezoelectric generator direct capacitance CmcValue,
Regard piezoelectric generator as single-mode system, therefore the equivalent inpnt stress V of piezoelectric generatorFExpression formula is：
VF=ma (6)
The expression formula of A can be obtained according to formula (3)：
RmExpression formula is：
Rm=A2RML (8)
Formula (5) substitution formula (1) is obtained into LmExpression formula is：
When circuit is in short-circuit resonant frequency fsc≈fMLWhen Fig. 2 machinery domain in LmAnd CmResonance occurs, thus it is available
CmExpression formula：
Use the direct capacitance C in the capacitance meter measurement available circuit model of piezoelectric generator capacitormcValue.
Embodiment：
To be more clear the object, technical solutions and advantages of the present invention, implementation of the present invention is provided below in conjunction with example
The specific descriptions of mode.Using Mide PPA2014 model piezoelectric generator, the Experimental Determination Method of 5 independent parameters is as follows：
Piezoelectric generator one end is fixed on vibration source, the other end is free, 1g sinusoidal vibration acceleration amplitude is kept constant, by sweeping
Frequency obtains different loads resistance RLThe relation curve of lower piezoelectric generator output voltage and vibration frequency.Short-circuit resonant frequency fsc=
673Hz be load resistance be 50 Ω when (near short circuit) maximum output voltage corresponding to frequency values；Open-circuit resonant frequency foc
Frequency values corresponding to maximum output voltage when=696Hz is load open circuit；Direct capacitance Cmc=88.3nF can be by capacitance meter
It measures；Mechanical quality factor Qoc=80 be load open circuit when output voltage and vibration frequency relation curve Q value；Fixed vibration
Frequency is fsc=673Hz, scanning change load resistance RLResistance value measures output voltage V and computational load RLConsumed power
P takes maximum power value PoptThe corresponding resistance value R of=1.41E-04WML=470 Ω and corresponding short-circuit resonant voltage value VML
(ωsc)=0.364V.Equivalent circuit model parameter L can be obtained according to expression formula formula (6), (7), (8), (9), (10)m、Cm、
Rm、VF、A、CmcValue, as shown in table 1.
The equivalent-circuit model component parameters of 1 piezoelectric generator of table
| Equivalent-circuit model component parameters | Numerical value |
| VF | 6.29E-03 |
| Lm | 6.41E-04 |
| Cm | 8.73E-05 |
| Rm | 3.50E-02 |
| A | 8.64E-03 |
| Cmc | 8.83E-08 |
Although function and the course of work of the invention are described above in conjunction with attached drawing, the invention is not limited to
Above-mentioned concrete function and the course of work, the above mentioned embodiment is only schematical, rather than restrictive, ability
The those of ordinary skill in domain under the inspiration of the present invention, is not departing from present inventive concept and scope of the claimed protection situation
Under, many forms can also be made, all of these belong to the protection of the present invention.
Claims (2)
1. a kind of piezoelectric generator equivalent circuit parameter based on electric signal measurement determines method, which is characterized in that including following
Step：
Piezoelectric generator one end is fixed on vibration source by step 1, and the other end is free, keeps constant sinusoidal vibration acceleration width
Value a obtains different loads resistance R by frequency sweepLThe relation curve of lower piezoelectric generator output voltage and vibration frequency；
Step 2, the different loads resistance R obtained according to step 1LThe relationship of lower piezoelectric generator output voltage and vibration frequency
Curve determines short-circuit resonant frequency fsc, open-circuit resonant frequency foc, direct capacitance Cmc, mechanical quality factor Qoc, maximum power value
Popt, resistance value RML, short-circuit resonant voltage VML(ωsc)；
Step 3, the f that will be obtainedsc、foc、Cmc、Qoc、Popt、RML、VML(ωsc), a, bring into following formula be calculated piezoelectricity hair
Motor circuit model parameter：Equivalent inductance Lm, equivalent capacity Cm, equivalent resistance Rm, piezoelectric generator equivalent inpnt stress VF、
The direct capacitance C of the piezoelectric coupling coefficient A of piezoelectric generator, piezoelectric generatormcValue,
VF=ma
Rm=A2RML
Wherein, m is the equivalent mass of piezoelectric generator, ωocIt is angular frequency corresponding to open-circuit resonant frequency, ωscIt is that short circuit is humorous
Angular frequency corresponding to vibration frequency；The direct capacitance CmcIt is obtained by capacitance meter measurement piezoelectric generator capacitor.
2. the piezoelectric generator equivalent circuit parameter according to claim 1 based on electric signal measurement determines method, special
Sign is, short-circuit resonant frequency f described in step 2scBe load resistance be 50 Ω when maximum output voltage corresponding to frequency
Value；The open-circuit resonant frequency focFrequency values corresponding to maximum output voltage when being load open circuit；The direct capacitance Cmc
It is obtained by capacitance meter measurement piezoelectric generator capacitor；The mechanical quality factor QocOutput voltage and vibration frequency when for load open circuit
The Q value of the relation curve of rate；Fixed vibration frequency is fsc, scanning change load resistance RLResistance value measures output voltage V and counts
Calculate load RLConsumed power P takes maximum power value PoptCorresponding resistance value RMLWith corresponding short-circuit resonant voltage VML
(ωsc)。
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Cited By (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN109586679A (en) * | 2018-11-21 | 2019-04-05 | 电子科技大学 | A kind of measurement method of piezo-electric resonator equivalent electrical parameter and resonance frequency |
| CN113406495A (en) * | 2021-06-28 | 2021-09-17 | 歌尔股份有限公司 | Method and device for generating sweep frequency characteristic curve of vibration motor and storage medium |
-
2018
- 2018-08-15 CN CN201810930038.7A patent/CN108828444A/en not_active Withdrawn
Cited By (3)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN109586679A (en) * | 2018-11-21 | 2019-04-05 | 电子科技大学 | A kind of measurement method of piezo-electric resonator equivalent electrical parameter and resonance frequency |
| CN113406495A (en) * | 2021-06-28 | 2021-09-17 | 歌尔股份有限公司 | Method and device for generating sweep frequency characteristic curve of vibration motor and storage medium |
| CN113406495B (en) * | 2021-06-28 | 2022-06-21 | 歌尔股份有限公司 | Method and device for generating sweep frequency characteristic curve of vibration motor and storage medium |
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