CN110530253A - Optimum design method for resistance-type wireless and passive strain transducer measuring circuit - Google Patents
Optimum design method for resistance-type wireless and passive strain transducer measuring circuit Download PDFInfo
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01B—MEASURING LENGTH, THICKNESS OR SIMILAR LINEAR DIMENSIONS; MEASURING ANGLES; MEASURING AREAS; MEASURING IRREGULARITIES OF SURFACES OR CONTOURS
- G01B7/00—Measuring arrangements characterised by the use of electric or magnetic techniques
- G01B7/16—Measuring arrangements characterised by the use of electric or magnetic techniques for measuring the deformation in a solid, e.g. by resistance strain gauge
- G01B7/18—Measuring arrangements characterised by the use of electric or magnetic techniques for measuring the deformation in a solid, e.g. by resistance strain gauge using change in resistance
Abstract
The present invention relates to the optimum design methods for resistance-type wireless and passive strain transducer measuring circuit, include: (1) according to Kirchhoff's law analysis resistance-type wireless and passive strain transducer measuring circuit characteristic, establishes the incidence relation formula of strain transducer resistance value Yu the total input impedance of the circuit；(2) optimize each parameter using Model for Multi-Objective Optimization to obtain more significant system input impedance phase information；(3) design variable A is solved come the Optimized model in solution procedure (2) using the multi-goal optimizing function gamultiobj carried in Matlab software；(4) front end the Pareto figure of design variable A and the Matlab Software Create acquired according to step (3), system input impedance phase is with frequency variation relation when differently strained resistance value after can must optimizing, and it is compared with the system input impedance phase before being not optimised with frequency variation relation, and illustrate using the parameter after optimization to system input impedance phase with the improvement of frequency variation relation.
Description
Technical field
The invention belongs to wireless and passive strain transducer fields, and in particular to be used for resistance-type wireless and passive strain transducer
The optimum design method of measuring circuit can be used for realizing the optimization of each parameter in resistance-type wireless and passive strain measurement circuit system
Design.
Background technique
Structural health monitoring technology is usually used in assessment system structural health and itself damage and degree of aging, such as on basis
Extensive application in the fields such as facility health evaluating, industry manufacture and biologic medical, can be in advance to the knot that may occur
Structure damage accident makes corresponding precautionary measures, and then the person and property loss are reduced as far as possible.
And in all monitoring structural health conditions amounts, strain is most common monitoring quantity, because it can directly reflect knot
The information on load that structure is undertaken.Common strain monitoring process is to obtain to strain spy about system under test (SUT) using strain transducer
Reference breath, assesses structural health degree using these information, to avoid the structural damage accident that may occur.So
And since some measurement environmental conditions are harsh, limit the use of battery or wired connection.For example, being connect in environment without outside
In the case of access point, or in a closed environment be implanted into measuring device the case where, it is necessary to avoid the biography using battery and wired connection
Inductor components.Wireless measurement method research accordingly, with respect to strain is very valuable.
Existing strain measurement wireless penetration method mainly includes four kinds: surface acoustic wave sensor, inductive coupling characteristics, patch
Antenna and Digital image technology.
However, the high expensive of surface acoustic wave sensor, paster antenna strain measurement scheme, and to manufacturing process and precision
It is more demanding.Scheme based on Digital image technology is also required to the high frequency sweep and picture pick-up device of profession, especially measurement process
Need different location be laid out multiple monitoring devices in the case where cost can be high.And the wireless penetration based on inductive coupling characteristics is answered
Non-contact strain monitoring can not only be realized by becoming measurement scheme, and theoretically have that infinite life, structure be simple, reliable performance
The features such as, it is well suited for being applied to the measurement environment such as enclosure space and machine power rotary part.But due to inductive coupling magnetic
Field increases with distance and exponentially decays, and causes the wireless and passive strain transducer designed using inductive coupling characteristics that will face monitoring
Apart from limited, and then the inapparent problem of strain characteristics information measured result.
The limited method of existing improvement monitoring distance mainly includes following several: utilizing left-handed material or repeating coil side
Case, the quality factor for optimizing cell winding and use polymeric piezoelectric material amplify strain characteristics information.
(1) sensor is improved using repeating coil read performance.Such as paper Diego A.Sanz, Costantino
Mitrosbaras,Edgar A.Unigarro,Fredy Segura-Quijano.Passive resonators for
wireless passive sensor readout enhancement.Applied Physics Letters,2013,103
(13): proposed in 133502. using repeating coil and improve the reading performance of wireless sourceless sensor.
(2) sensor is improved using left-handed material read performance.Such as paper Bingnan Wang, Koon Hoo Teo,
Tamotsu Nishino,William Yerazunis.Experiments on wireless power transfer with
Metamaterials.Applied Physics Letters, 2011,98 (25): proposes in 254101. with negative magnetoconductivity
Double-layer coil structure left-handed material, the material itself have bigger inductance value and capacitance, so as to improve sensor
Reading performance.
(3) optimize the quality factor of cell winding.Such as paper Hao Jiang, Di Lan, Hamid Shahnasser,
Shuvo Roy.Sensitivity analysis of an implantable LC based passive
sensor.International Conference on Biomedical Engineering and
Informatics.2010,4:1586-1590. the sensitivity analysis mould of the implantable sensor based on LC resonance device is established in
Type, and optimize and obtain maximum inductor quality factor and transducer sensitivity, realize that enhancing sensor reads the purpose of performance.
(4) using the reading effect of polymeric piezoelectric material amplification sensor.Such as paper Sun Ke.Design and
characterization of a passive wireless strain sensor.Universityof Puerto Rico
It is proposed at Mayag ü ez.2006. in one lamination electric polymer of the top of interdigital capacitor attachment as dielectric layer, Lai Fang great
Strain characteristics realize the enhancing that sensor reads performance to improve transducer sensitivity.
But in the studies above, improvement project is all to be divided into research object with sensor portion, however there is presently no packets
Include the optimum design method of the entire measuring system including sense coil, load resistance and resonance frequency etc..Due to wireless nothing
The measurement of source strain is to rely between two inductors inductively, to constitute wireless and passive strain measurement system, with reality
The transmission of existing strain characteristics information, this paper presents a kind of thus for resistance-type wireless and passive strain transducer measuring circuit
Optimum design method.
Summary of the invention
Goal of the invention: the invention discloses a kind of optimizations for resistance-type wireless and passive strain transducer measuring circuit to set
Meter method, to solve, the wireless and passive strain transducer monitoring distance designed using inductive coupling characteristics is limited and strain characteristics are believed
Cease the inapparent problem of measured result.The core of the design method is to be primarily based on circuit theory, establishes strain transducer resistance
The incidence relation formula of value and the total input impedance of the circuit；Then fixed in strain variation amount is that electrostrictive strain resistance value variable quantity is fixed
In the case of, with impedance phase changes delta Phase at resonance frequencyZinIt is maximized with perception inductance quality factor q as target letter
Number establishes the mathematical optimization models about each parameter of resistance-type wireless and passive strain transducer measuring circuit；Furthermore rationally setting
Constraint condition simultaneously obtains each parameter value after optimization using multiple-objection optimization method for solving.
Technical solution: the optimum design method for resistance-type wireless and passive strain transducer measuring circuit, comprising:
(1) resistance-type wireless and passive strain transducer measuring circuit characteristic is analyzed according to Kirchhoff's law, establishes strain
The incidence relation formula of sensor resistance and the total input impedance of the circuit, in which:
System equivalent input impedance Z can be obtained by Kirchhoff's second law and using the analysis of equivalent input impedance methodin:
Wherein:
J is imaginary unit；
F is scan frequency；
M is to read inductance L1With perception inductance L2Between mutual inductance；
For input terminal voltage source voltage value；
To flow through sense coil series resistance R1Current value；
R1For sense coil series impedance；
R2To perceive coil series impedance；
RxTo strain sheet resistance values；
L1For sense coil inductance value；
L2To perceive coil inductance；
Cp=C2+Cx, i.e. resonance frequency capacitance value CxWith perception inductance distributed capacitance C2The sum of；
Meanwhile phase frequency smallest point fminIt can be indicated by relationship formula below:
Wherein:
fresFor sensor resonant frequency；
And the quality factor q for perceiving inductance can indicate are as follows:
After the formula on the left side in formula (2) is substituted into formula (1), then available fresThe impedance phase expression formula at place:
Wherein:
B is intermediate parameters, is a parameter relevant to the coefficient of coup, remains unchanged, expression formula is as follows:
Wherein:
tan(ωres) be resonant frequency point at phase tangent value；
Rx,0For the resistance value under resistance strain sensor original state (i.e. without strain regime)；
(2) optimize each parameter using following Model for Multi-Objective Optimization to obtain more significant system input impedance phase letter
Breath:
Find A=(L1,L2,Cx,R2,fres)
Max Y (A)=Q (A)
s.t. C2=C0 (6)
Rx=Ra (7)
Lb≤L1≤Lc (8)
Ld≤L2≤Le (9)
Cf≤Cx≤Cg (10)
Rh≤R2≤Ri (11)
fi≤fres≤fj (12)
In formula:
Design variable A=(L1,L2,Cx,R2,fres) be many reference amounts constrained optimization function characterising parameter；
Objective function Y (A) is quality factor, and L (A) is system input impedance phase with strain resistance varying-ratio, it is therefore an objective to
Optimization problem is converted to the Optimized model of standard；
Constraint condition (6) is to set perception coil inductance distributed capacitance；
Constraint condition (7) is to set the initial resistance value size of foil gauge；
Constraint condition (8) is to limit perception coil inductance own inductance value minimum value and maximum value；
Constraint condition (9) is to limit sense coil inductance own inductance value minimum value and maximum value；
Constraint condition (10) is to limit frequency and adjust capacitor minimum value and maximum value；
Constraint condition (11) is to limit perception coil series resistance minimum value and maximum value；
Constraint condition (12) is to limit resonance frequency minimum value and maximum value；
(3) using the multi-goal optimizing function gamultiobj carried in Matlab software come excellent in solution procedure (2)
Change model, solves design variable A；
(4) front end the Pareto figure of design variable A and the Matlab Software Create acquired according to step (3), can must optimize
System input impedance phase is inputted with frequency variation relation, and with the system before being not optimised when differently strained resistance value later
Impedance phase is compared with frequency variation relation, and is illustrated using the parameter after optimization to system input impedance phase with frequency
The improvement of variation relation.
The utility model has the advantages that the invention discloses a kind of optimizations for resistance-type wireless and passive strain transducer measuring circuit to set
Meter method, has the advantages that
Designed strain transducer measuring system through the invention is guaranteeing strain measurement circuit electrostrictive strain change in resistance
In the case that amount and perception inductance distribution capacity are constant, more significant system input impedance phase is realized within the scope of certain frequency
Position variation, it is understood that increase wireless and passive strain transducer in the case where guaranteeing that sense coil sensitivity is constant
Reading distance, will improve that wireless and passive strain measurement technique operating distance using electromagnetic induction is very limited to ask with this
Topic.
Detailed description of the invention
Fig. 1 is the equivalent schematic of resistance-type wireless and passive strain transducer measuring circuit；
Fig. 2 be in the present invention system input impedance amplitude and phase with the qualitative figure of scan frequency variation tendency；
Fig. 3 is the front end the Pareto figure for solving Optimized model in the present invention and obtaining；
Fig. 4 be in the obtained 0.4MHz-3.0MHz frequency range of the present invention initial value and Optimal Parameters in differently strained electricity
Resistance value and system impedance phase angle variations relationship comparison diagram；
Fig. 5 be in the obtained 0.4MHz-3.0MHz frequency range of the present invention initial value and Optimal Parameters in differently strained electricity
Resistance value and system S1,1Parameters variation relationship comparison diagram.
Wherein:
1- sense coil
2- perceives coil
Specific embodiment:
Detailed description of specific embodiments of the present invention below.
The invention discloses a kind of optimum design method for resistance-type wireless and passive strain transducer measuring circuit, with
It solves to utilize the wireless and passive strain transducer monitoring distance of inductive coupling characteristics design limited and strain characteristics information actual measurement effect
The inapparent problem of fruit.
What the present invention was designed according to Kirchhoff's law and equivalent input impedance method, analysis and utilization Mutual Inductance Coupling principle first
Resistance-type wireless and passive strain transducer measuring circuit characteristic, derives strain transducer resistance value and the total input impedance of the circuit
Incidence relation formula (qualitative simulation of the relational expression is as shown in Figure 2).Using the relational expression, analysis is obtained in certain frequency range
The phase change of the variation of internal strain sensor resistance and the total input impedance of circuit all has mapping relations；Then, become in strain
Fixed change amount is in the case that electrostrictive strain resistance value variable quantity is fixed, with impedance phase changes delta Phase at resonance frequencyZinAnd sense
Know that inductance quality factor q maximum turns to objective function, foundation is respectively joined about resistance-type wireless and passive strain transducer measuring circuit
The mathematical optimization models of amount；Furthermore constraint condition is set and obtains each parameter after optimization using multiple-objection optimization method for solving
Value；Finally, being compared in mathematical model using parameter values such as above-mentioned perception inductance self-induction, resistance and the capacitors provided using just
Parameter after beginning parameter and optimization is respectively to strain characteristic information.
Optimum design method for resistance-type wireless and passive strain transducer measuring circuit, comprising the following steps:
(1) circuit characteristic that resistance-type wireless and passive strain transducer measuring circuit is analyzed according to Kirchhoff's law, pushes away
Export the incidence relation formula of strain transducer resistance value and the total input impedance of the circuit, in which:
As shown in Figure 1, it is the equivalent schematic of resistance-type wireless and passive strain transducer measuring circuit.It sees from left to right
Fig. 1, sense coil 1 can be by reading inductance L1, inductance series resistance R1With distribution capacity C1The equivalent circuit of composition indicates.Together
Reason, the right can also use perception inductance L2, inductance series resistance R2With distribution capacity C2The equivalent circuit of composition come indicate perception line
Circle 2, frequency tuning capacitor C in parallelxWith strain sheet resistance RxA resistance-type strain measurement is constituted with perception coil to sense
Device resonant tank, while RxResistance value follows the strain detected and changes.
System equivalent input impedance Z can be obtained by Kirchhoff's second law and using the analysis of equivalent input impedance methodin:
Wherein:
J is imaginary unit；
F is scan frequency；
For input terminal voltage source voltage value；
To flow through sense coil series resistance R1Current value；
R1For sense coil series impedance；
R2To perceive coil series impedance；
RxTo strain sheet resistance values；
L1For sense coil inductance value；
L2To perceive coil inductance；
Cp=C2+Cx, i.e. resonance frequency capacitance value CxWith perception inductance distributed capacitance C2The sum of；
Meanwhile phase frequency smallest point fminIt can be indicated by relationship formula below:
Wherein:
fresFor sensor resonant frequency；
And the quality factor q for perceiving inductance can indicate are as follows:
After the formula on the left side in formula (2) is substituted into formula (1), then available fresThe impedance phase expression formula at place:
Wherein:
B is intermediate parameters, is a parameter relevant to the coefficient of coup, remains unchanged；
Formula (4) will strain sheet resistance RxWith resonance frequency fresConnection, the above derivation are established in the impedance phase connection of place's measurement
Formula there is also limitation, formula can not extremely be fully described by entire resistance strain sensor wireless penetration system impedance letter
Breath, formula expression is more in detecting sensor resonance frequency fresImpedance information at neighbouring frequency range, so in resonance
Frequency fresFormula is just applicable in neighbouring frequency range.
From the point of view of formula (4), other than the value of parameter B is uncertain, all variables are all defined previously.Therefore,
Have found the approach for obtaining B indirectly:
Wherein:
tan(ωres) be resonant frequency point at phase tangent value；
Rx,0For the resistance value under resistance strain sensor original state (i.e. without strain regime)；
By formula (4) it is found that in certain frequency range system input impedance phase and perception inductance series resistance R2、
Tuning capacitance Cp, electrostrictive strain resistance value Rx, perception inductance value L2, read inductance value L1And resonance frequency fresNonlinear function.
Therefore, it is desirable to which more significant strain characteristics information, needs to carry out constrained optimization to above-mentioned each parameter.
(2) optimize each parameter using following Model for Multi-Objective Optimization to obtain more significant system input impedance phase letter
Breath.
Find A=(L1,L2,Cx,R2,fres)
Max Y (A)=Q (A)
s.t. C2=C0 (6)
Rx=Ra (7)
Lb≤L1≤Lc (8)
Ld≤L2≤Le (9)
Cf≤Cx≤Cg (10)
Rh≤R2≤Ri (11)
fi≤fres≤fj (12)
In formula:
Design variable A=(L1,L2,Cx,R2,fres) be many reference amounts constrained optimization function characterising parameter；
Objective function Y (A) is quality factor, and L (A) is system input impedance phase with strain resistance varying-ratio, it is therefore an objective to
Optimization problem is converted to the Optimized model of standard；
Constraint condition (6) is to set perception coil inductance distributed capacitance；
Constraint condition (7) is to set the initial resistance value size of foil gauge；
Constraint condition (8) is to limit perception coil inductance own inductance value minimum value and maximum value；
Constraint condition (9) is to limit sense coil inductance own inductance value minimum value and maximum value；
Constraint condition (10) is to limit frequency and adjust capacitor minimum value and maximum value；
Constraint condition (11) is to limit perception coil series resistance minimum value and maximum value；
Constraint condition (12) is to limit resonance frequency minimum value and maximum value；
(3) using the multi-goal optimizing function gamultiobj carried in Matlab software come excellent in solution procedure (2)
Change model, solves design variable A；
(4) front end the Pareto figure of design variable A and the Matlab Software Create acquired according to step (3) is (such as Fig. 3 institute
Show), when differently strained resistance value after can must optimizing system input impedance phase with frequency variation relation, and be not optimised it
Preceding system input impedance phase is compared with frequency variation relation, and is illustrated to input system using the parameter after optimization and be hindered
Anti- phase with frequency variation relation improvement.
Advantages of the present invention can be further illustrated by following mathematical model simulation:
1. simulation parameter
As shown in Figure 1, reading inductance and perception inductance is planar spiral inductor coil, it is assumed that Mutual Inductance Coupling coefficient k=
0.13985, strain sheet resistance initial value is Rx=1000 Ω, maximum strain resistance variations are 20 Ω, the strain resistor applied every time
Value is 5 Ω, perceives inductance coil Equivalent Distributed capacitor C2For 1.1pF.
2. emulation content and result
In the present invention, it is imitative with frequency variation to provide differently strained resistance valve system input impedance phase position in target function type
True result.Firstly, the optimal solution of the optimization obtained using Model for Multi-Objective Optimization, secondly, optimal solution is brought into mathematical model
Obtain system input impedance phase simulation result varying with frequency, and original parameter and after optimization parameter obtain it is imitative
True result compares.
As it can be seen from table 1 the local optimum parameter that the method within the scope of certain frequency using optimization obtains can obtain
The feature changed to more significant electrostrictive strain resistance value impedance angle, as shown in figure 4, as can be seen from the figure using the ginseng after optimization
The corresponding system input impedance phase of the foil gauge initial value measured is lower, while the feelings fixed in total strain resistor variation
Phase changing capacity also obviously becomes larger under condition.In addition, as can be seen from Figure 5 strain characteristics information is significant during Mutual Inductance Coupling
Energy transfer efficiency is also increasing while variation.
1 initial parameter of table and Optimal Parameters and Comparative result
Embodiments of the present invention are elaborated above.But present invention is not limited to the embodiments described above, In
Technical field those of ordinary skill within the scope of knowledge, can also do without departing from the purpose of the present invention
Various change out.
Claims (1)
1. being used for the optimum design method of resistance-type wireless and passive strain transducer measuring circuit characterized by comprising
(1) resistance-type wireless and passive strain transducer measuring circuit characteristic is analyzed according to Kirchhoff's law, establishes strain sensing
The incidence relation formula of device resistance value and the total input impedance of the circuit, in which:
System equivalent input impedance Z can be obtained by Kirchhoff's second law and using the analysis of equivalent input impedance methodin:
Wherein:
J is imaginary unit；
F is scan frequency；
M is to read inductance L1With perception inductance L2Between mutual inductance；
For input terminal voltage source voltage value；
To flow through sense coil series resistance R1Current value；
R1For sense coil series impedance；
R2To perceive coil series impedance；
RxTo strain sheet resistance values；
L1For sense coil inductance value；
L2To perceive coil inductance；
Cp=C2+Cx, i.e. resonance frequency capacitance value CxWith perception inductance distributed capacitance C2The sum of；
Meanwhile phase frequency smallest point fminIt can be indicated by relationship formula below:
Wherein:
fresFor sensor resonant frequency；
And the quality factor q for perceiving inductance can indicate are as follows:
After the formula on the left side in formula (2) is substituted into formula (1), then available fresThe impedance phase expression formula at place:
Wherein:
B is intermediate parameters, is a parameter relevant to the coefficient of coup, remains unchanged, expression formula is as follows:
Wherein:
tan(ωres) be resonant frequency point at phase tangent value；
Rx,0For the resistance value under resistance strain sensor original state (i.e. without strain regime)；
(2) optimize each parameter using following Model for Multi-Objective Optimization to obtain more significant system input impedance phase information:
Find A=(L1,L2,Cx,R2,fres)
Max Y (A)=Q (A)
s.t.C2=C0 (6)
Rx=Ra (7)
Lb≤L1≤Lc (8)
Ld≤L2≤Le (9)
Cf≤Cx≤Cg (10)
Rh≤R2≤Ri (11)
fi≤fres≤fj (12)
In formula:
Design variable A=(L1,L2,Cx,R2,fres) be many reference amounts constrained optimization function characterising parameter；
Objective function Y (A) is quality factor, and L (A) is system input impedance phase with strain resistance varying-ratio, it is therefore an objective to will be excellent
Change problem is converted to the Optimized model of standard；
Constraint condition (6) is to set perception coil inductance distributed capacitance；
Constraint condition (7) is to set the initial resistance value size of foil gauge；
Constraint condition (8) is to limit perception coil inductance own inductance value minimum value and maximum value；
Constraint condition (9) is to limit sense coil inductance own inductance value minimum value and maximum value；
Constraint condition (10) is to limit frequency and adjust capacitor minimum value and maximum value；
Constraint condition (11) is to limit perception coil series resistance minimum value and maximum value；
Constraint condition (12) is to limit resonance frequency minimum value and maximum value；
(3) using the multi-goal optimizing function gamultiobj carried in Matlab software come the optimization mould in solution procedure (2)
Type solves design variable A；
(4) front end the Pareto figure of design variable A and the Matlab Software Create acquired according to step (3), after can must optimizing
Differently strained resistance value when system input impedance phase with frequency variation relation, and with the system input impedance before being not optimised
Phase is compared with frequency variation relation, and illustrates to change system input impedance phase with frequency using the parameter after optimization
The improvement of relationship.
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