CN106405146B - A kind of speed and wind direction measuring method for wind based on ultrasonic resonance principle - Google Patents
A kind of speed and wind direction measuring method for wind based on ultrasonic resonance principle Download PDFInfo
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01P—MEASURING LINEAR OR ANGULAR SPEED, ACCELERATION, DECELERATION, OR SHOCK; INDICATING PRESENCE, ABSENCE, OR DIRECTION, OF MOVEMENT
- G01P5/00—Measuring speed of fluids, e.g. of air stream; Measuring speed of bodies relative to fluids, e.g. of ship, of aircraft
- G01P5/24—Measuring speed of fluids, e.g. of air stream; Measuring speed of bodies relative to fluids, e.g. of ship, of aircraft by measuring the direct influence of the streaming fluid on the properties of a detecting acoustical wave
- G01P5/245—Measuring speed of fluids, e.g. of air stream; Measuring speed of bodies relative to fluids, e.g. of ship, of aircraft by measuring the direct influence of the streaming fluid on the properties of a detecting acoustical wave by measuring transit time of acoustical waves
- G01P5/248—Measuring speed of fluids, e.g. of air stream; Measuring speed of bodies relative to fluids, e.g. of ship, of aircraft by measuring the direct influence of the streaming fluid on the properties of a detecting acoustical wave by measuring transit time of acoustical waves by measuring phase differences
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- G—PHYSICS
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- G01P—MEASURING LINEAR OR ANGULAR SPEED, ACCELERATION, DECELERATION, OR SHOCK; INDICATING PRESENCE, ABSENCE, OR DIRECTION, OF MOVEMENT
- G01P13/00—Indicating or recording presence, absence, or direction, of movement
- G01P13/02—Indicating direction only, e.g. by weather vane
- G01P13/025—Indicating direction only, e.g. by weather vane indicating air data, i.e. flight variables of an aircraft, e.g. angle of attack, side slip, shear, yaw
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Abstract
The invention discloses a kind of speed and wind direction measuring method for wind based on ultrasonic resonance principle, it proposes three kinds of algorithms to wind direction, and the precision criterion for selecting these three wind direction algorithms at different conditions is provided, provides core technology to realize that ultrasonic resonance measures wind speed and direction.Integrated correction of the present invention and the methods of determine, accurately to calculate actual wind speed by measuring signal and wind direction provides step and algorithm；The status design of present invention combination instrument and other computer heating control mechanism, have established key foundation to make wind speed and direction measuring instrument small in size, high-efficient, that climate adaptability is strong.
Description
Technical field
The invention belongs to the wind direction field of measuring technique in wind power generation, and in particular to a kind of based on ultrasonic resonance principle
Speed and wind direction measuring method for wind.
Background technique
Wind-force is the important sources of green energy resource, inexhaustible.It is estimated that can be used to the wind to generate electricity on the earth
Power resource is there are about 10,000,000,000 kilowatts, and 10 times of almost present whole world hydroelectric generation amount.Wind-driven generator for wind-power electricity generation
Group mainly includes wind wheel, tail vane, generator and steel tower.The efficiency and safety of wind power generating set are depended on to local wind speed and wind
To accurate measurement.Because the load of excessive wind speed will cause the failure and consume of set structure and the route that generates electricity, and wind wheel and wind
It is directly related with electromechanical efficiency to angle.Therefore the wind speed and direction of accurate measurement under various conditions is to guarantee wind power generating set
The necessary condition of safe and efficient rate operation.
Tradition machinery wind speed and direction measuring instrument cannot all be expired due to the mechanical wear of rotatable parts in service life and precision aspect
The requirement of sufficient modern wind power generation.Mechanical wind speed and direction measuring instrument in terms of environment resistant interference, such as go frost and it is anticorrosive, also deposit
In inborn limitation.
Influence of the conventional ultrasonic wave wind speed and direction measuring instrument using wind to acoustic transit time is mechanism instead of past machine
Tool is driven mechanism, avoids the mechanical wear of instrument.But ultrasonic wave is in an atmosphere with the measurement of range attenuation and propagation time
To the dependence of ultrasonic wave propagation distance so that conventional ultrasonic wave wind speed and direction measuring instrument has volume big, energy consumption is high to be lacked precision
Point.
In recent years it is found that conventional ultrasonic wave wind can be overcome using ultrasonic wave in the Physical Mechanism of areola internal resonance
The shortcomings that fast wind direction measuring instrument, can make wind speed and direction measuring instrument small in size, high-efficient.So being based on ultrasonic resonance principle
The wind speed and direction measuring device of design has huge practical value.However how to pass through the ultrasonic transmitting in resonant cavity and connect
It is the core technology for the wind speed and direction measuring device that ultrasonic resonance principle designs by next accurate calculation of wind speed wind direction.
Summary of the invention
Based on above-mentioned, the present invention provides a kind of speed and wind direction measuring method for wind based on ultrasonic resonance principle, super to realize
Acoustic resonance measurement wind speed and direction provides core technology.
A kind of speed and wind direction measuring method for wind based on ultrasonic resonance principle, includes the following steps:
(1) any pair of energy converter intracorporal for ultrasonic aerovane chamber, measures the energy converter in calm situation
Pair phase difference difference, and as systematic error；
(2) any pair of energy converter intracorporal for ultrasonic aerovane chamber, the energy converter is measured when there is wind
Pair phase difference difference and compensated using systematic error, obtain the energy converter to the actual phase difference on line direction it
Difference；
(3) take absolute value a pair of of energy converter corresponding to the difference of maximum actual phase difference, calculates the energy converter to coordinate
The lower wind direction θ of system, the energy converter to coordinate system with the energy converter to line direction for 0 ° of direction；
(4) wind direction being converted into the energy converter to the wind direction θ under coordinate system under terrestrial coordinate systemAnd then basis is respectively changed
Energy device calculates wind speed v to the difference of corresponding actual phase difference.
It is equidistantly set in the ultrasonic aerovane cavity there are three energy converter, three energy converters divide in equilateral triangle
Cloth simultaneously can be combined into three pairs of energy converters.
The difference of the phase difference of the energy converter pair is equal to ultrasonic wave and is issued caused by energy converter B reception as energy converter A
Phase difference ΦBAIt subtracts ultrasonic wave and the phase difference Φ caused by energy converter A reception is issued by energy converter BAB, energy converter A and B group
At this to energy converter.
The energy converter difference of the actual phase difference on line direction is equal to have wind in the case of the energy converter pair phase
The subtractive of difference goes the difference of the phase difference of the energy converter pair in calm situation.
The difference of actual phase difference corresponding to three pairs of energy converters is successively labeled as γ first in the step (3)1、
γ2、γ3, wherein γ2The line direction ratio γ of corresponding energy converter pair1The line direction of corresponding energy converter pair is 120 ° big, γ3
The line direction ratio γ of corresponding energy converter pair1The line direction of corresponding energy converter pair is 240 ° big；
If γ1Maximum absolute value, then γ1Corresponding energy converter is to the wind direction θ under coordinate system1Expression formula is as follows:
If γ2Maximum absolute value, then γ2Corresponding energy converter is to the wind direction θ under coordinate system2Expression formula is as follows:
If γ3Maximum absolute value, then γ3Corresponding energy converter is to the wind direction θ under coordinate system3Expression formula is as follows:
The line direction of a wherein energy converter pair is set in the step (4) first as benchmark direction, if where wind direction θ
Energy converter is that then wind direction θ is converted under terrestrial coordinate system by following relationship for 0 ° of direction with reference direction to coordinate system
Wind direction
If γ < 0 and 0 °≤θ≤90 °,
If 0 ° of γ < 0 and -90 °≤θ <,
If γ >=0,
It, will by following relationship if energy converter where wind direction θ is 120 ° bigger than reference direction to 0 ° of direction of coordinate system
Wind direction θ is converted into the wind direction under terrestrial coordinate system
If γ < 0 and 0 °≤θ≤90 °, ψ=θ；
If γ < 0 and 0 ° ,+360 ° of ψ=θ of -90 °≤θ <；
If γ >=0 ,+180 ° of ψ=θ；
Further judgement, if 120 °≤ψ≤360 °,If 360 ° of 0 °≤ψ <,
It, will by following relationship if energy converter where wind direction θ is 240 ° bigger than reference direction to 0 ° of direction of coordinate system
Wind direction θ is converted into the wind direction under terrestrial coordinate system
If γ < 0 and 0 °≤θ≤90 °, ψ=θ；
If γ < 0 and 0 ° ,+360 ° of ψ=θ of -90 °≤θ <；
If γ >=0 ,+180 ° of ψ=θ；
Further judgement, if 240 °≤ψ≤360 °,If 240 ° of 0 °≤ψ <,Its
In: γ is the difference of the actual phase difference of maximum absolute value, and ψ is intermediate variable.
Wind speed v is calculated by the following formula in the step (4):
Wherein: α is wind speed calibration constants.
The present invention provides a kind of core technology for ultrasonic resonance type wind speed and direction measuring instrument, its integrated correction and judgement
The methods of, accurately to calculate actual wind speed by measuring signal and wind direction provides step and algorithm；Present invention combination instrument
Status design and other computer heating control mechanism, to make wind speed and direction measuring instrument small in size, high-efficient, that climate adaptability is strong
Key foundation is established.
Detailed description of the invention
Fig. 1 is the step flow diagram of the method for the present invention.
Fig. 2 is the position view of energy converter pair in cavity.
Fig. 3 is schematic diagram of each energy converter to the difference of phase difference when calm.
Relation schematic diagram of each energy converter to the difference of phase difference at different wind speeds when being zero degree that Fig. 4 is wind direction.
Fig. 5 is the comparison schematic diagram of the wind speed result and actual wind speed result that are obtained using present invention measurement.
Fig. 6 is the zero degree direction that anemobiagraph is demarcated and wind direction into 90 degree, is obtained at different wind speeds using present invention measurement
Wind direction result schematic diagram.
Specific embodiment
In order to more specifically describe the present invention, with reference to the accompanying drawing and specific embodiment is to technical solution of the present invention
It is described in detail.
As shown in Figure 1, the present invention is based on the speed and wind direction measuring method for wind of ultrasonic resonance principle to include the following steps:
Step 1: the spatial distribution of measuring instrument sensor pair.
Entire measurement process is completed in the cavity that a pair of parallel plate up and down is constituted.Other directions of cavity with
Atmosphere contact.Construction profile as far as possible symmetrical of cavity is constituted, it is small in size.Make to influence minimum to wind field, can normally flow through
Cavity.One piece or two pieces of parallel flats be embedded in ultrasonic transducer (vibrating diaphragm that ultrasonic wave is coupled by piezoelectric element, i.e.,
Ultrasonic transducer is generated and is received).Equidistant as far as possible between energy converter, the parallel flat of cavity is equipped at least with three transducings
Device.Energy converter distribution triangular in shape as shown in Figure 2.The moment in measurement process has an energy converter to be in electric excitation state,
Energy converter membrane surface generates ultrasonic wave and propagates outward, until the parallel flat for reaching the other side carries out approximate total reflection.By
This wavefront generated is run up, and reaches upper flat plate and again secondary reflection.Ultrasonic wave continuation rebounds between reflector, until in sky
In gas energy loss and sufficiently decaying become incomplete reflection.Measuring instrument uses three ultrasonic sensors, i.e. piezoelectricity in total
The vibrating diaphragm of element coupling, three Ulerasonic senser casings are circle, and the circle center line connecting of three sensors constitutes one
Equilateral triangle, in Fig. 2,13 direction of vector and 32 direction of vector and the angle in 21 direction of vector are 120 degree.
Step 2: systematic error of the measuring instrument sensor to phase.
In the ideal case, a pair of sensors position is fixed, and external environment remains unchanged.What ultrasonic sensor 1 issued
Ultrasonic wave is received by ultrasonic sensor 2, can be generated a time delay, thus be brought phase differenceB21.Similarly, supersonic sensing
The ultrasonic wave that device 2 issues is received by ultrasonic sensor 1, can be generated a time delay, thus be brought phase differenceB12.Calm
In the case of, do not consider that sensor and measurement route bring influence, φB21-φB12=0.
But in a practical situation, in calm situation, a pair of of energy converter, transmitting and reception are exchanged, the difference of the phase difference of generation
ΔφB21,12=φB21-φB12≠ 0 thus we at different ambient temperatures, measured within one section of long period a large amount of calm
In the case of phase difference difference data.Figure six shows fraction data.It is measured by long-time, discovery is each in calm situation
The poor average value of the phase difference of energy converter pairThen willPhase compensation is carried out as systematic error；Fig. 3 is indicated
Be calm when system exemplary phase difference difference.
Step 3: having the difference of the phase difference of landscape condition lower sensor pair.
In Fig. 2, as 13 direction vector of sensor one stable wind (wind speed v, wind direction θ13) when blowing, ultrasonic wave
Being transferred to sensor 3 to generate phase difference related with wind speed and direction by sensor 1 is φ13.Sensor 1 is transferred to by sensor 3
The phase difference related with wind speed and direction generated is φ31.Then the difference of phase difference at this time are as follows:
γ31,13(v,θ13)=φ31-φ13
Wherein, θ13It is energy converter to 13 direction and the angle of wind direction, is positive counterclockwise.Similarly, θ defined below21With
θ32It also is energy converter respectively to 21,32 direction and the angle of wind direction.What Fig. 4 was indicated is under fixed angle, on three directions
Phase difference difference and wind speed between relationship.The difference of phase difference shown in above formula includes the information of wind speed and direction.
It is emphasized that the difference of phase difference is also the function of frequency.The difference for the phase difference that ultrasonic resonance method is surveyed is corresponding to small
Intracavitary resonant frequency related with wind speed and direction.
Step 4: calculating three kinds of algorithms of wind direction.
By, there are three for ultrasonic transducer, every two combination, transmitting receives each other, can produce in total in parallel flat
The difference of phase difference on raw three directions, wind and the angle in three directions are different, and the influence to the difference generation of phase difference is not yet
Equally.The difference of phase difference on three directions is as follows:
Three deflection θ13、θ21And θ32It can be elected to be reference angle, be converted into after angle calculation unified as defined in us
Collimation angle standard, so calculating wind direction, there are three kinds of different algorithms:
Wind direction algorithm one:
Wind direction algorithm two:
Wind direction algorithm three:
In algorithm design of the invention, we choose 13 direction of sensor for output wind angle, so obtaining using formula
The θ arrived13That is wind angle, the wind speed angle θ calculated using other two groups of formula21And θ32, needing to carry out to convert accordingly can just obtain
Export wind angle.
Step 5: the foundation of judgement selection multiprecision arithmetic.
In the cavity that wind is blown into measuring instrument, three angular separations of wind direction and energy converter pair are different, therefore wind speed
Component in three directions also has difference, and the difference for being hereinbefore described phase difference is related to wind speed.Therefore on three directions
The difference of the phase difference of generation is also had any different, when one timing of wind speed size, the smaller (angle in angular separation of wind direction and certain energy converter pair
Closer to zero degree), the difference of phase difference in this direction is bigger, and wind direction is closer vertical with the angular separation of certain energy converter pair, should
The difference of phase difference on direction is smaller.The difference of phase difference is bigger, and the precision of the wind angle of calculating is higher.Therefore we calculate in selection
Rule when method is: comparing the difference of the phase difference on three directions first, finds the direction of the poor maximum absolute value of phase difference.So
Algorithm corresponding with the difference of the phase difference of maximum absolute value is selected afterwards.
For example, in the difference of the phase difference in three directions, γ31,13(v,θ13) maximum absolute value, illustrate wind direction and energy converter
13 directions are closest, and wind direction algorithm at this time just uses formula (4).If in the difference of the phase difference in three directions, γ23,32
(v,θ32) maximum absolute value, then wind direction algorithm just uses formula (5).If in the difference of the phase difference in three directions, γ12,21
(v,θ21) maximum absolute value, then wind direction algorithm just uses formula (6).
Following specific embodiments place three ultrasonic sensors in the parallel flat of measuring instrument, and three sensors are all
The function of having transmitting and receiving.When blowing air over cavity, three energy converters successively emit and receive, detailed process are as follows: first
Energy converter 1 emits, and energy converter 3 receives, and then energy converter 3 emits, and energy converter 1 receives.Following energy converter 2 emits, energy converter 3
It receives, then energy converter 3 emits, and energy converter 2 receives.Then energy converter 1 emits, and energy converter 2 receives, and last energy converter 2 emits,
Energy converter 1 receives.The change that energy converter emits perhaps reception state is controlled by external chip to be emitted each time or receives
State duration is about 11.2ms, and the time is very short, far below the time constant of wind speed and direction variation, to guarantee to measure
The stability of wind speed and direction in journey.
After obtaining the difference of the phase difference in three directions, then algorithm is selected by the absolute value of the difference size of phase difference
It selects.Using the maximum algorithm of wind direction angular accuracy.
In order to calculate and export conveniently, formula (1), (2) and (3) the difference of phase difference redefine are as follows:
γ1=γ31,13(v,θ13) (7)
γ2=γ23,32(v,θ32) (8)
γ3=γ12,21(v,θ21) (9)
Wherein also define:
θ1=θ13 θ2=θ32 θ3=θ21 (10)
The angle of output is with θ1Subject to.Output algorithm compares γ first1, γ2And γ3Absolute value.Select corresponding maximum
The γ of valuemax。
If γmax=γ1, wind angle is calculated with following formula:
θ1Range be 0≤θ1≤ 360 °, but the angle output calculated with above formula is in -90 °≤θ1≤90°。
If γ1< 0, the angle output angle that above formula calculates will be done with down conversion:
If 0 °≤θ1≤ 90 °,
If -90 °≤θ10 ° of <,
If γ1>=0, the angle output angle that above formula calculates will be done with down conversion:
If 0 °≤θ1≤ 90 °,
If -90 °≤θ10 ° of <,
If γmax=γ2, wind angle is calculated with following formula:
Same θ2Range be 0≤θ2≤360°.But the angle output calculated with above formula is in -90 °≤θ2≤
90°.We can equally be determined with formula (12)~(15) judgementOutput.
BecauseThanIt is 120 ° big, so handleIt is converted into exportingWhen to do with down conversion:
If
If
Finally, if γmax=γ3, wind angle is calculated with following formula:
We can equally be determined with formula (12)~(15) judgementOutput.
BecauseThanIt is 240 ° big, so handleChange output intoWhen to do with down conversion:
If
If
By above-mentioned algorithm, current wind direction value can be obtained.The calculation formula of wind speed are as follows:
Wherein, α is wind speed calibration constants, its acquisition process is that cavity is put into standard wind-tunnel, makes sensor to 13
Direction with the wind direction that is parallel in wind-tunnel, then records the wind speed V in wind-tunnel as far as possibleoWith the difference of corresponding phase difference.Then it counts
Wind speed before calculating calibration:
Last calibration factor α is determined by following formula:
It is surveyed in Yueqing City of Zhejiang Province Bei Liang wind energy Electronics Co., Ltd. 35m/s wind-tunnel at the beginning of 11 months 2015 shown in Fig. 5
Measure the wind speed of the difference calculating of the phase difference under unspecified angle and the comparison result of actual wind speed (solid line).The result shows that the wind of measurement
The error of speed and wind-tunnel standard wind speed is both less than ± 0.5m/s in 15m/s or less, and when being greater than 15m/s, error is less than ± 4%.
The zero degree direction of anemobiagraph calibration shown in Fig. 6 and wind direction are obtained by measuring at different wind speeds at 90 degree (vertical direction)
Wind direction as a result, its error in ± 2 °.
The above-mentioned description to embodiment is for that can understand and apply the invention convenient for those skilled in the art.
Person skilled in the art obviously easily can make various modifications to above-described embodiment, and described herein general
Principle is applied in other embodiments without having to go through creative labor.Therefore, the present invention is not limited to the above embodiments, ability
Field technique personnel announcement according to the present invention, the improvement made for the present invention and modification all should be in protection scope of the present invention
Within.
Claims (6)
1. a kind of speed and wind direction measuring method for wind based on ultrasonic resonance principle, includes the following steps:
(1) any pair of energy converter intracorporal for ultrasonic aerovane chamber, measures the energy converter pair in calm situation
The difference of phase difference, and as systematic error；
(2) any pair of energy converter intracorporal for ultrasonic aerovane chamber, the energy converter pair is measured when there is wind
The difference of phase difference is simultaneously compensated using systematic error, obtains the energy converter to the difference of the actual phase difference on line direction；
(3) take absolute value a pair of of energy converter corresponding to the difference of maximum actual phase difference, calculates the energy converter under coordinate system
Wind direction θ, the energy converter to coordinate system with the energy converter to line direction be 0 ° of direction；
(4) wind direction being converted into the energy converter to the wind direction θ under coordinate system under terrestrial coordinate systemAnd then according to each energy converter
Wind speed v is calculated to the difference of corresponding actual phase difference.
2. speed and wind direction measuring method for wind according to claim 1, it is characterised in that: the ultrasonic aerovane chamber
It is equidistantly set in vivo there are three energy converter, three energy converters are distributed in equilateral triangle and can be combined into three pairs of energy converters.
3. speed and wind direction measuring method for wind according to claim 1, it is characterised in that: the difference of the phase difference of the energy converter pair
It is issued equal to ultrasonic wave by energy converter A and generated phase difference Φ is received by energy converter BBAUltrasonic wave is subtracted to be issued by energy converter B
Generated phase difference Φ is received by energy converter AAB, energy converter A and B form this to energy converter.
4. speed and wind direction measuring method for wind according to claim 1, it is characterised in that: the energy converter is on line direction
The difference of actual phase difference, which is equal to, has the subtractive of the phase difference of the energy converter pair in the case of wind to remove the energy converter pair in calm situation
The difference of phase difference.
5. speed and wind direction measuring method for wind according to claim 2, it is characterised in that: first by three in the step (3)
γ is successively labeled as to the difference of actual phase difference corresponding to energy converter1、γ2、γ3, wherein γ2The company of corresponding energy converter pair
Line direction ratio γ1The line direction of corresponding energy converter pair is 120 ° big, γ3The line direction ratio γ of corresponding energy converter pair1Institute is right
Answer the line direction of energy converter pair 240 ° big；
If γ1Maximum absolute value, then γ1Corresponding energy converter is to the wind direction θ under coordinate system1Expression formula is as follows:
If γ2Maximum absolute value, then γ2Corresponding energy converter is to the wind direction θ under coordinate system2Expression formula is as follows:
If γ3Maximum absolute value, then γ3Corresponding energy converter is to the wind direction θ under coordinate system3Expression formula is as follows:
6. speed and wind direction measuring method for wind according to claim 2, it is characterised in that: set first in the step (4)
Wherein the line direction of an energy converter pair is benchmark direction, if energy converter where wind direction θ is with reference direction for 0 ° to coordinate system
Direction, the then wind direction being converted into wind direction θ by following relationship under terrestrial coordinate system
If γ < 0 and 0 °≤θ≤90 °,
If 0 ° of γ < 0 and -90 °≤θ <,
If γ >=0,
If energy converter where wind direction θ is 120 ° bigger than reference direction to 0 ° of direction of coordinate system, pass through following relationship for wind direction θ
The wind direction being converted under terrestrial coordinate system
If γ < 0 and 0 °≤θ≤90 °, ψ=θ；
If γ < 0 and 0 ° ,+360 ° of ψ=θ of -90 °≤θ <；
If γ >=0 ,+180 ° of ψ=θ；
Further judgement, if 120 °≤ψ≤360 °,If 360 ° of 0 °≤ψ <,
If energy converter where wind direction θ is 240 ° bigger than reference direction to 0 ° of direction of coordinate system, pass through following relationship for wind direction θ
The wind direction being converted under terrestrial coordinate system
If γ < 0 and 0 °≤θ≤90 °, ψ=θ；
If γ < 0 and 0 ° ,+360 ° of ψ=θ of -90 °≤θ <；
If γ >=0 ,+180 ° of ψ=θ；
Further judgement, if 240 °≤ψ≤360 °,If 240 ° of 0 °≤ψ <,Wherein: γ
For the difference of the actual phase difference of maximum absolute value, ψ is intermediate variable.
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| CN110018327A (en) * | 2019-04-11 | 2019-07-16 | 易泽雄 | A kind of ultrasonic wind meter and survey wind speed method |
| CN112664411A (en) * | 2021-01-22 | 2021-04-16 | 长沙理工大学 | Method for controlling resonance of wind turbine generator by monitoring wind speed |
| CN113985061A (en) * | 2021-08-21 | 2022-01-28 | 北京国皓能源科技有限公司 | Wind measuring device, wind speed and wind direction measuring method, storage medium and probe mounting method thereof |
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| KR101044881B1 (en) * | 2009-02-16 | 2011-06-28 | 경북대학교 산학협력단 | Appratus for measuring velocity and direction of wind using ultrasonic |
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| CN106405146A (en) | 2017-02-15 |
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