CN105974333B - Vibrating type energy collector electrical parameter recognition methods - Google Patents
Vibrating type energy collector electrical parameter recognition methods Download PDFInfo
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- CN105974333B CN105974333B CN201610286201.1A CN201610286201A CN105974333B CN 105974333 B CN105974333 B CN 105974333B CN 201610286201 A CN201610286201 A CN 201610286201A CN 105974333 B CN105974333 B CN 105974333B
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- G—PHYSICS
- G01—MEASURING; TESTING
- 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
- G01R31/40—Testing power supplies
Abstract
The present invention relates to a kind of vibrating type energy collector electrical parameter recognition methods, belong to energy acquisition field.It solves the problems, such as accurately estimate collector electrical parameter under collector resilience model unknown situation.Based on collector electricity equation, a kind of collector electrical parameter recognition methods independently of kinetic parameter is proposed, by relationship between building collector vibration acceleration and output voltage amplitude, using least square method to acquiring electrical parameter to be estimated.The electrical parameter identification process of this method does not need anticipation collector resilience model independently of kinetic parameter, and the accuracy of identification of electrical parameter is not influenced by kinetic parameter, therefore is suitble to the electrical parameter identification of the non-linear collector of various complexity.The present invention solves under resilience model unknown situation, the Model Distinguish of vibration energy collector and parameter identification problem, has established theoretical basis for the design and optimization of vibration energy collector.
Description
Technical field
The present invention relates to vibrational energies to acquire field, especially a kind of vibrating type energy collector electrical parameter identification side
Method.
Background technique
The low-power dissipation systems such as wireless sensing node and monitoring unit are widely used in monitoring structural health conditions, failure at present
In diagnosis and initial failure early warning system.It is to provide power supply important one of approach for it that vibrational energy is acquired from environment, shape
At research hotspot.Therefore, the parameter identification method for developing and improving vibrating type energy collector systems acquires vibrating type energy
The structure Design and optimization parameter and engineer application of device have important value and significance.
Currently, in terms of the electrical parameter identification of vibrational energy type energy collecting device, due to the coupled characteristic of Mechatronic Systems,
The prior information of kinetic model is needed, the electrical parameter recognition methods independently of kinetic parameter, kinetic simulation are not yet formed
The accuracy of type largely affects the accuracy of electrical parameter identification.For the energy acquisition with nonlinear restoring force
It is more difficult to accurately identify electrical parameter for device.
Summary of the invention
In view of the defects existing in the prior art, the object of the present invention is to provide a kind of vibrating type energy collector electrical parameters
Recognition methods solves the problem of that collector electrical parameter can not be accurately identified when collector resilience model is unknown.
To reach above-mentioned purpose, insight of the invention is that
Vibrational energy acquisition method based on piezoelectric effect, it is known that electricity equation is formula (3):
When harmonic excitation of the system by small magnitude, z=Ze can be setiωtAnd u=Ueiωt, substituting into can in equation (3)
Obtain the expression formula (4) of output voltage u.
U=Uei(ωt-θ) (4)
Wherein, U=β Z,
Electromechanical coupling factor η and equivalent capacity CpValue be parameter to be estimated.Due to testing the vibration of collector in experiment
Acceleration is more convenient, if the acceleration amplitude of collector vibration is A, then A=ω2Z.It collector output voltage amplitude U and adopts
The relationship of storage vibration acceleration amplitude A is formula (6).
Using experimental data, formula (6) is fitted using least square method, can be obtained the estimation of unknown parameter
Value.
According to above-mentioned design, the present invention adopts the following technical scheme:
A kind of vibrating type energy collector electrical parameter recognition methods obtains collector output voltage width using electricity equation
The relationship of value U and collector vibration acceleration amplitude A, the specific steps are as follows:
Step 1: connection load resistance RL, collector is motivated under frequencies omega using vibration excitor；
Step 2: after device to be collected enters steady-state vibration, measuring the amplitude A and output voltage width of collector vibration acceleration
Value U；
Step 3: reselecting different load resistance RLAnd frequencies omega, step 1 and 2 is repeated, until reaching scheduled reality
Times N is tested, experimental data sequence (A is constitutedei,Uei,Pei,ωi,RLi), i=1~N；
Step 4: according to formula voltage fitting formula (8) or power fitting formula (9):
Based on experimental data sequence (Aei,Uei,Pei,ωi,RLi), it is fitted to obtain parameter η to be estimated using least square method
And CpValue.
Compared with prior art, the present invention has the advantage that:
The method of the present invention is proposed by the relationship between building collector output voltage amplitude U and vibration acceleration amplitude A
A kind of vibrating type energy collector electrical parameter recognition methods.Since this method is not involved with kinetics equation, so it has
There is general and versatility, is not influenced by collector structure type and nonlinear restoring force.
Detailed description of the invention
Fig. 1 is vibrating type energy collector equivalent model.
Fig. 2 is vibrating type energy collector electrical parameter recognition result: (a) being Voltage experiments data and fitting result pair
Than；It (b) is power experimental data scatterplot and recognition result.
Specific embodiment
The present invention will be further explained below with reference to the attached drawings.
Vibrating type energy collector equivalent model as shown in Figure 1, model by mass block m, nonlinear spring kn, damped coefficient
The PZT (piezoelectric transducer) that c and electromechanical coupling factor are η forms.zaFor under absolute coordinate, the vibration displacement of collector, zbFor collector
The basic excitation of shell, then relative displacement z can write equation (1)
Z=za-zb (1)
System equation can be written as:
Wherein:For unknown recovery force function, η is electromechanical coupling factor, CpFor piezoelectric material equivalent capacity, RLFor
External load resistance, u are output voltage.η and CpFor unknown parameter to be estimated.
When harmonic excitation of the system by small magnitude, z=Ze can be setiωtAnd u=Ueiωt, substituting into can in equation (3)
Obtain the expression formula (4) of output voltage u.
U=Uei(ωt-θ) (4)
Wherein, U=β Z,
Wherein, electromechanical coupling factor η and equivalent capacity CpValue be parameter to be estimated.Due to testing collector in experiment
Vibration acceleration is more convenient, if the acceleration amplitude of collector vibration is A, then A=ω2Z.Collector output voltage amplitude U
Relationship with collector vibration acceleration amplitude A is formula (6).
The relationship of collector output power amplitude P and acceleration amplitude A is formula (7).
P=U2/RL (7)
If having carried out n times experiment, experimental data sequence is (Aei,Uei,Pei,ωi,RLi), i=1~N.According to formula voltage
Fitting formula (8) or power fitting formula (9) are fitted to obtain parameter η to be estimated using experimental data sequence and least square method
And CpValue.
Experimental verification:
Using rondelle vibration energy collector, method identified above is demonstrated.As a result as shown in Figure 2, in which: (a) is
Voltage experiments data and recognition result；It (b) is power experimental data scatterplot and recognition result.Identification obtains mechanical-electric coupling in experiment
Coefficient η=0.0108 and theory deduction solution η=0.0115 are relatively；Equivalent capacity coefficient Cp=6.55 × 10-8With Theory Solution
Cp=6.55 × 10-8Relatively, the experimental verification feasibility of this method.It, can optional voltage fitting side in practical application
One in journey (8) and power fit equation (9) carries out parameter identification, and two equations are of equal value.Since this method does not have
It is related to kinetics equation, so it has general and versatility, not by collector structure type and nonlinear restoring force
It influences.
Claims (1)
1. a kind of vibrating type energy collector electrical parameter recognition methods, obtains collector output voltage amplitude using electricity equation
The relationship of U and collector vibration acceleration amplitude A, which is characterized in that specific step is as follows:
Step 1: connection load resistance RL, collector is motivated under frequencies omega using vibration excitor；
Step 2: after device to be collected enters steady-state vibration, measuring the amplitude A and output voltage amplitude U of collector vibration acceleration；
Step 3: reselecting different load resistance RLAnd frequencies omega, step 1 and 2 is repeated, until reaching scheduled experiment number
N constitutes experimental data sequence (Aei,Uei,Pei,ωi,RLi), i=1~N；
Step 4: according to formula voltage fitting formula (8) or power fitting formula (9):
Based on experimental data sequence (Aei,Uei,Pei,ωi,RLi), it is fitted to obtain vibrating type energy to be estimated using least square method
The electromechanical coupling factor η and equivalent capacity coefficient C of collectorpValue.
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Citations (3)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN101546965A (en) * | 2009-04-30 | 2009-09-30 | 厦门大学 | Plane vibration double-helix piezoelectric transducer based on MEMS |
| CN102158039A (en) * | 2011-03-02 | 2011-08-17 | 上海交通大学 | Micro broadband electromagnetic type vibration energy collector |
| CN102437776A (en) * | 2011-12-27 | 2012-05-02 | 东南大学 | Piezoelectric energy trapping device |
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2016
- 2016-05-01 CN CN201610286201.1A patent/CN105974333B/en active Active
Patent Citations (3)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN101546965A (en) * | 2009-04-30 | 2009-09-30 | 厦门大学 | Plane vibration double-helix piezoelectric transducer based on MEMS |
| CN102158039A (en) * | 2011-03-02 | 2011-08-17 | 上海交通大学 | Micro broadband electromagnetic type vibration energy collector |
| CN102437776A (en) * | 2011-12-27 | 2012-05-02 | 东南大学 | Piezoelectric energy trapping device |
Non-Patent Citations (2)
| Title |
|---|
| 压电振动能力采集器的力电耦合模型及其功率优化;王光庆 等;《传感技术学报》;20130831;第26卷(第8期);第1092-1100页 |
| 悬臂梁式压电振动能采集器的建模及实验验证;贺学锋 等;《光学 精密工程》;20110831;第19卷(第8期);第1771-1777页 |
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