CN107391850A - A kind of blower fan rotary state smooth display method using SVG models - Google Patents

A kind of blower fan rotary state smooth display method using SVG models Download PDF

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CN107391850A
CN107391850A CN201710612401.6A CN201710612401A CN107391850A CN 107391850 A CN107391850 A CN 107391850A CN 201710612401 A CN201710612401 A CN 201710612401A CN 107391850 A CN107391850 A CN 107391850A
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mrow
blower fan
msub
vector model
value
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CN107391850B (en
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王靖然
宁文元
孙荣富
王若阳
徐海翔
张�浩
徐忱
钱苏晋
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BEIJING TECHSTAR TECHNOLOGY Co Ltd
State Grid Corp of China SGCC
State Grid Jibei Electric Power Co Ltd
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BEIJING TECHSTAR TECHNOLOGY Co Ltd
State Grid Corp of China SGCC
State Grid Jibei Electric Power Co Ltd
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    • G06—COMPUTING; CALCULATING OR COUNTING
    • G06F—ELECTRIC DIGITAL DATA PROCESSING
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  • Control Of Positive-Displacement Air Blowers (AREA)
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Abstract

The present invention provides a kind of blower fan rotary state smooth display method using SVG models, including：When often obtaining the actual active power value of a blower fan being newly stored in and corresponding air speed value, by the actual active power value P of blower fantBe converted to blower fan vector model tachometer value vt；For the adjacent blower fan vector model tachometer value of any two, smoothing processing, then interpolation are fitted using parabola Optimal Curve mode；Display systems, in real time by blower fan vector model tachometer value assignment to blower fan vector model, loading output blower fan vector model, realize blower fan vector model rotary state smooth display by JSP.Advantage is：Not only can the instant velocity of rotation of real-time exhibition blower fan, and the change procedure between energy two data sampled points of smoothing processing, so as to reaching the flow animation change procedure in human eye frame number identification range, make blower fan model both actual display fan operation virtual conditions, meet the requirement of human eye comfort level again.

Description

A kind of blower fan rotary state smooth display method using SVG models
Technical field
The invention belongs to the various state display technique fields of blower fan in wind power plant and distributed power generation, and in particular to one Kind utilizes the blower fan rotary state smooth display method of SVG models.
Background technology
Wind power plant, new energy micro-capacitance sensor and grid company monitoring personnel need to grasp blower fan in real time by software platform The rotary speed information of status information, especially blower fan.Outstanding methods of exhibiting can completely, it is clear, visually represent monitor Member needs obtained information, the displaying of current blower fan be primarily present for：The fan condition for making single wind speed rotates picture；Pass through JS order displaying above pictures in the page, reach visual rotates effe.
Subject matter existing for above-mentioned blower fan methods of exhibiting is：The displaying of blower fan model rotating speed does not account for human eye to rotating speed Comfort level requirement, easily brings visual Caton phenomenon, influences monitoring personnel viewing experience.
The content of the invention
The defects of existing for prior art, present invention offer is a kind of smoothly to be opened up using the blower fan rotary state of SVG models Show method, can effectively solve the above problems.
The technical solution adopted by the present invention is as follows：
The present invention provides a kind of blower fan rotary state smooth display method using SVG models, comprises the following steps：
Step 1, blower fan relational database is established；The blower fan relational database is used for real-time storage adopting by 0.5 second/ The actual active power value of blower fan and corresponding air speed value that sample frequency sampling obtains；
Step 2, display systems are built by Tomcat data Connection Pool and the blower fan relational database of local Vertical connection；
Step 3, display systems loading blower fan vector model, and judge whether to load successfully；If not loading success, terminate Flow；If loaded successfully, step 4 is performed；
Step 4, display systems judge whether the blower fan relational database has new data, if not, terminating flow；If It is to perform step 5；
Step 5, display systems interact in real time with the blower fan relational database, by the sequencing in sampling time, The actual active power value of new blower fan being constantly stored in and corresponding air speed value are obtained successively；
Step 6, when display systems often obtain the actual active power value of a blower fan being newly stored in and corresponding air speed value, In accordance with the following methods, by the actual active power value P of blower fantBe converted to blower fan vector model tachometer value vt；Wherein, PtWhen representing t Carve the actual active power value of blower fan got；vtRepresent the blower fan vector model tachometer value that t is got：
1) if the air speed value that t is got is 0~5rpm, blower fan vector model tachometer value vtFor 0；
2) if the air speed value that t is got is more than 25rpm, blower fan vector model tachometer value vtTo be set in advance Blower fan vector model rotating speed maximum Vmax；
3) if the air speed value that t is got is blower fan vector model tachometer value v in the range of 5~25rpmtPress Formula is calculated：
Wherein：PNFor the power-handling capability of blower fan；
Step 7, it is assumed that in chronological sequence order obtains the n blower fan vector model turn for needing to show altogether in some period Fast value vi(i=1,2,3 ..., n), wherein, the sampling time interval between two neighboring blower fan vector model tachometer value is 0.5 Second；For the adjacent blower fan vector model tachometer value of any two, smooth place is fitted using parabola Optimal Curve mode Reason, obtains smoothed curve；Then, on the smoothed curve, at interval of one blower fan vector model tachometer value of 40ms interpolation；
Step 8, display systems are by JSP, in real time by the blower fan vector model tachometer value assignment that step 7 obtains to wind Machine vector model, the blower fan vector model tachometer value that loading blower fan vector model is obtained by step 7 export, and realize blower fan Vector Mode Type rotary state smooth display.
Preferably, in step 7, for the adjacent blower fan vector model tachometer value of any two, optimized using parabola bent Line mode is fitted smoothing processing, obtains smoothed curve, is specially：
Step 7.1, because in chronological sequence order obtains the n blower fan vector model for needing to show altogether in some period Tachometer value vi(i=1,2,3 ..., n)；
Step 7.2, for arbitrary vj, j=1,2,3...n-3, pass through vj, vj+1, vj+23 points of j-th strip parabola ginseng Number equation Sj(tj) be：
Wherein：vj, vj+1, vj+2Corresponding to+2 respectively j-th of sampled point ,+1 sampled point of jth and jth sampled points Blower fan vector model tachometer value；tjRepresent the sampling time corresponding to j-th of sampled point；
Pass through vj+1, vj+2, vj+33 points+1 parabola parametric equation S of jthj+1(tj+1) be：
If weighting function is：F (T)=1-T, g (T)=T, (0≤T≤1)
Wherein, f (T) is positive weighting function；G (T) is reverse weighting function；T represents the weighting cycle；
Step 7.2 ,+1 parabola of j-th strip parabola and jth intersects line segment, i.e.,：Starting point is vj+1, terminating point vj+2 Between fitting and smoothing curvilinear equation be：
vj+1(t)=f (T) Sj(tj)+g(T)Sj+1(tj+1)(0≤T≤1))
If T=2t, tj=t-0.5, tj+1=t, bring the fitting and smoothing curvilinear equation of above formula into, obtain：
vj+1(t)=(4t2-t-4t3)vj+(1-10t2+12t3)vj+1+(t+8t2-12t3)vj+2+(4t3-2t2)vj+3(0≤t ≤0.5)
Step 7.3, therefore, for n blower fan vector model tachometer value vi(i=1,2,3 ..., n), using step 7.2 Method, v can be calculated2-v3Between fitting and smoothing curve, v3-v4Between fitting and smoothing curve ... until vn-2-vn-1 Between fitting and smoothing curve；
For v1-v2Between fitting and smoothing curve, calculated using following methods：In v1Left side sampled point v is set0, order v0=v2, v0And v1Between sampling interval be still designated as 0.5, then the fitting and smoothing curvilinear equation using step 7.2, you can meter Calculation obtains v1-v2Between fitting and smoothing curve；
For vn-1-vnBetween fitting and smoothing curve, calculated using following methods：In vnLeft side sampled point v is setn+1, Make vn+1=vn-1, vnAnd vn-1Between sampling interval be still designated as 0.5, then the fitting and smoothing curvilinear equation using step 7.2, V can be calculatedn-1-vnBetween fitting and smoothing curve.
Provided by the invention a kind of have advantages below using the blower fan rotary state smooth display method of SVG models：
A kind of blower fan rotary state smooth display method using SVG models provided by the invention, not only can real-time exhibition The instant velocity of rotation of blower fan, and the change procedure between energy two data sampled points of smoothing processing, know so as to reach human eye frame number Flow animation change procedure in other scope, make blower fan model both actual display fan operation virtual conditions, meet people again Eye comfort level requirement.
Brief description of the drawings
Fig. 1 is the schematic flow sheet of the blower fan rotary state smooth display method provided by the invention using SVG models；
Fig. 2 is interpolated data before processing design sketch；
Fig. 3 is design sketch after interpolated data processing；
Fig. 4 is the first schematic diagram of adjacent two parabolic curves intersection line segment；
Fig. 5 is that adjacent two parabolic curves intersect second of schematic diagram of line segment；
Fig. 6 is design sketch after overall fit of the present invention.
Embodiment
In order that technical problem solved by the invention, technical scheme and beneficial effect are more clearly understood, below in conjunction with Drawings and Examples, the present invention will be described in further detail.It should be appreciated that specific embodiment described herein only to The present invention is explained, is not intended to limit the present invention.
The present invention establishes blower fan model using AI, can efficiently make three-dimensional blower fan model very attractive in appearance, uses SVG texts Part shows, will not cause the page seemingly-dead the problems such as high and the characteristics of loading velocity is fast with stability in interface.Further, since Monitoring system is mostly to be based on B/S systems at present, is dynamic media, SVG will turn into network image form, it is necessary to has dynamic Feature, this is also a key character for being different from other picture formats.SVG is based on XML, there is provided unapproachable dynamic State interactivity.
The system of the present invention is embedding by SVG using Adobe Illustrator design blower fan vector models, generation SVG file Enter into web page and carry out dynamic interaction control.The system is designed exploitation based on B/S modes, considers between different platform Fusion and versatility, platform are developed based on Java bases, the J2EE technologies adopted international standards, and blower fan is shown using SVG Model, and by XML be used as conventional data interact standard, utilize AJAX carry out data between asynchronous interactive.Different user can By browser, conducted interviews database by inputting IP address.
Term related to the present invention is explained：
1、SVG：
SVG (scalable vector graphicses), scalable vector graphicses are to be based on extensible markup language (standard generalized markup language The subset of speech), for describing a kind of graphical format of two-dimension vector graphics.It is formulated by World Wide Web Consortium, is an open mark It is accurate.
2nd, SPL：
So-called SPL (Spline Curves) refer to give one group of control point and obtain a curve, curve it is big Cause shape to be controlled by these points, generally can be divided into interpolating spline and approach two kinds of batten, interpolating spline is generally used for numeral Change drawing or the design of animation, approach the surface that batten is generally used to constructed object.
3rd, frame number：
Frame number (Frames) is the abbreviation of frame generation quantity.Due to spoken customary reason, we generally by frame number with Frame per second is obscured.Each frame is all static image, in extremely rapid succession shows that frame just forms the illusion of motion, therefore high frame per second Animation more smooth, more true to nature can be obtained.
4、Ajax
I.e. " Asynchronous Javascript And XML " (asynchronous JavaScript and XML), refer to one kind to AJAX Create the web development technologies of interaction network page application.Exchanged by carrying out low volume data in backstage and server, AJAX can be with Webpage is set to realize asynchronous refresh.This means certain part of webpage can be entered in the case where not reloading whole webpage Row renewal.
With reference to figure 1, a kind of blower fan rotary state smooth display method using SVG models provided by the invention, including with Lower step：
Step 1, blower fan relational database is established；The blower fan relational database is used for real-time storage adopting by 0.5 second/ The actual active power value of blower fan and corresponding air speed value that sample frequency sampling obtains；
Step 2, display systems are built by Tomcat data Connection Pool and the blower fan relational database of local Vertical connection；
Step 3, display systems loading blower fan vector model, and judge whether to load successfully；If not loading success, terminate Flow；If loaded successfully, step 4 is performed；
Step 4, display systems judge whether the blower fan relational database has new data, if not, terminating flow；If It is to perform step 5；
Step 5, display systems interact in real time with the blower fan relational database, by the sequencing in sampling time, The actual active power value of new blower fan being constantly stored in and corresponding air speed value are obtained successively；
Step 6, when display systems often obtain the actual active power value of a blower fan being newly stored in and corresponding air speed value, In accordance with the following methods, by the actual active power value P of blower fantBe converted to blower fan vector model tachometer value vt；Wherein, PtWhen representing t Carve the actual active power value of blower fan got；vtRepresent the blower fan vector model tachometer value that t is got：
1) if the air speed value that t is got is 0~5rpm, blower fan vector model tachometer value vtFor 0；
2) if the air speed value that t is got is more than 25rpm, blower fan vector model tachometer value vtTo be set in advance Blower fan vector model rotating speed maximum Vmax；
3) if the air speed value that t is got is that blower fan vector model tachometer value vt is pressed in the range of 5~25rpm Formula is calculated：
Wherein：PNFor the power-handling capability of blower fan；
The reason for this step above-mentioned design is：
Because wind speed reaches close to blower fan active power during 20m/s almost close to rated value, and with the lifting wind of wind speed Machine rotating speed will not increase therewith again, therefore choose blower fan active power as the control variable for judging blower fan SVG model displays.
The range of speeds of large-scale wind driven generator is generally 0~20rpm, and in computer interface and monitoring giant-screen, Such rotating speed is very low, or even human eye is without noticing of the rotation of blower fan, so needing display velocity of rotation to blower fan according to people Eye resolution optimizes processing with comfort level requirement.
In order to meet more demands, the range of speeds for considering blower fan is 0~25rpm.By experimental test, on computers And on display large-size screen monitors, resolution of the human eye to blower fan model rotating speed and comfort standard are about 10~50rpm, so the present invention will Rotation speed of fan is that 0~5rpm scope is set to start and stop display interval, and 5~25rpm scopes are arranged to normal presentation scope, And rotation speed of fan, when being more than 25rpm, the rotating speed shown in model is not further added by.
Step 7：Because the data got are second DBMS sampled point, human eye highest identification frame number is 25 frames, otherwise will Visual Caton phenomenon can be brought, therefore, it is necessary to for carrying out smooth interpolation processing between two sampled points, i.e., is inserted every 40ms Enter a transition value, rotating speed is visually reached flexible transition.Interpolated data contrast effect figure such as Fig. 2 and Fig. 3 before and after the processing It is shown.
V-t curve smoothing arthmetic statements：
Assuming that the sampled point v shown in some period containing n needsi(i=1,2,3 ..., n), for v-t curves And desired fitting and smoothing curve form, carry out piecewise fitting using second-degree parabola：
With v1, v2, v3To control the parabola of 3 points of the mistake of point-rendering one, then with v2, v3, v4To control point-rendering Article 2 By 3 points of parabola, always to last 3 points vn-2, vn-1, vnFor three point-rendering parabolas.Finally n-2 bars can be drawn altogether Parabolic curve.Adjacent cross curve section occurs between every two parabolic curves, as shown in figure 4, being adjacent two parabolic curves The first schematic diagram of intersection line segment.
In Fig. 4, it is Fig. 4 center lines 1, its starting point and end to need the expected result of weighted fitting per adjacent two parabola Point is respectively vi+1And vi+2。
(1) solution of 3 parabolic equations is passed through
Assuming that pass through v0, v1, v23 points of parabolic equation is
vt=a+bt+Ct2(0≤t≤1)
The establishment condition of above-mentioned hypothesis is that curve passes through v respectively when t=0,0.5,10, v1, v23 points, bringing solution into can , the matrix form of secondary parabolic curve is：
As：
V (t)=(2t2-3t+1)v0+(4t-4t2)v1+(2t2-t)v2(0≤t≤1)
Resulting secondary parabolic curve equation is used in subsequent step 7.2 herein.
Assuming that in chronological sequence order obtains the n blower fan vector model tachometer value v for needing to show altogether in some periodi (i=1,2,3 ..., n), wherein, the sampling time interval between two neighboring blower fan vector model tachometer value is 0.5 second；It is right In the adjacent blower fan vector model tachometer value of any two, smoothing processing is fitted using parabola Optimal Curve mode, is obtained To smoothed curve；Then, on the smoothed curve, at interval of one blower fan vector model tachometer value of 40ms interpolation；
In this step, for the adjacent blower fan vector model tachometer value of any two, parabola Optimal Curve mode is utilized Smoothing processing is fitted, obtains smoothed curve, is specially：
Step 7.1, because in chronological sequence order obtains the n blower fan vector model for needing to show altogether in some period Tachometer value vi(i=1,2,3 ..., n)；
Step 7.2, with reference to figure 5, second of schematic diagram of line segment is intersected for adjacent two parabolic curves.
For arbitrary vj, j=1,2,3...n-3, pass through vj, vj+1, vj+23 points of j-th strip parabola parametric equation Sj (tj) be：
Wherein：vj, vj+1, vj+2Corresponding to+2 respectively j-th of sampled point ,+1 sampled point of jth and jth sampled points Blower fan vector model tachometer value；tjRepresent the sampling time corresponding to j-th of sampled point；
Pass through vj+1, vj+2, vj+33 points+1 parabola parametric equation S of jthj+1(tj+1) be：
If expect the smoothed curve of desired effects, it is necessary to occur smoothing processing effect at each connecting points, you can adopt With smooth weighting processing mode：
If weighting function is：F (T)=1-T, g (T)=T, (0≤T≤1)
Wherein, f (T) is positive weighting function；G (T) is reverse weighting function；T represents the weighting cycle；
Step 7.2 ,+1 parabola of j-th strip parabola and jth intersects line segment, i.e.,：Starting point is vj+1, terminating point vj+2 Between fitting and smoothing curvilinear equation be：
vj+1(t)=f (T) Sj(tj)+g(T)Sj+1(tj+1)(0≤T≤1))
If T=2t, tj=t-0.5, tj+1=t, bring the fitting and smoothing curvilinear equation of above formula into, obtain：
vj+1(t)=(4t2-t-4t3)vj+(1-10t2+12t3)vj+1+(t+8t2-12t3)vj+2+(4t3-2t2)vj+3(0≤t ≤0.5)
Step 7.3, therefore, for n blower fan vector model tachometer value vi(i=1,2,3 ..., n), using step 7.2 Method, v can be calculated2-v3Between fitting and smoothing curve, v3-v4Between fitting and smoothing curve ... until vn-2-vn-1 Between fitting and smoothing curve；
That is：As j=1, curve is located at v2、v3Between；As j=2, curve is located at v3、v4Between；...... As j=n-3, curve is located at vn-2、vn-1Between；
2 points are zero according to 2 direction inverses and equal carry out benefit point from beginning to end.I.e.：For v1-v2Between fitting and smoothing Curve, calculated using following methods：In v1Left side sampled point v is set0, make v0=v2, v0And v1Between sampling interval still It is designated as 0.5, then the fitting and smoothing curvilinear equation using step 7.2, you can v is calculated1-v2Between fitting and smoothing curve；
For vn-1-vnBetween fitting and smoothing curve, calculated using following methods：In vnLeft side sampled point v is setn+1, Make vn+1=vn-1, vnAnd vn-1Between sampling interval be still designated as 0.5, then the fitting and smoothing curvilinear equation using step 7.2, V can be calculatedn-1-vnBetween fitting and smoothing curve.
Using the inventive method, design sketch is as shown in Figure 6 after overall fit.
Step 8, display systems are by JSP, in real time by the blower fan vector model tachometer value assignment that step 7 obtains to wind Machine vector model, the blower fan vector model tachometer value that loading blower fan vector model is obtained by step 7 export, and realize blower fan Vector Mode Type rotary state smooth display.
A kind of blower fan rotary state smooth display method using SVG models provided by the invention, has the characteristics that：
(1) first, a kind of running status of wind generator methods of exhibiting of the present invention, makes information needed very clear, Improve operating efficiency.
(2) present invention is showing blower fan effect simultaneously, can be real by directly changing the form of code function parameter instruction When dynamic change blower fan model rotation speed, more intuitively dynamic can easily realize data visualization, while also reduce system The consumption of internal memory, improve system effectiveness.
(3) present invention is by curve smoothing algorithm, during for entering row interpolation between any two sampled point, is reaching smooth place While managing interpolated data, visually reach the optimal frame number comfort level of human eye.
(4) running status of wind generator methods of exhibiting of the present invention, the wind issuing industry pair developed rapidly both at home and abroad is met The demand of outstanding display mode in monitor supervision platform, promote the lifting of wind hair monitor supervision platform software display effect.
In summary, a kind of blower fan rotary state smooth display method using SVG models provided by the invention, not only can The instant velocity of rotation of real-time exhibition blower fan, and the change procedure between energy two data sampled points of smoothing processing, so as to reach people Flow animation change procedure in eye frame number identification range, make blower fan model both actual display fan operation virtual conditions, again Meet the requirement of human eye comfort level.
Described above is only the preferred embodiment of the present invention, it is noted that for the ordinary skill people of the art For member, under the premise without departing from the principles of the invention, some improvements and modifications can also be made, these improvements and modifications also should Depending on protection scope of the present invention.

Claims (2)

  1. A kind of 1. blower fan rotary state smooth display method using SVG models, it is characterised in that comprise the following steps：
    Step 1, blower fan relational database is established；The blower fan relational database is used for sampling frequency of the real-time storage by 0.5 second/ Rate samples the obtained actual active power value of blower fan and corresponding air speed value；
    Step 2, display systems are established with the local blower fan relational database by Tomcat data Connection Pool and connected Connect；
    Step 3, display systems loading blower fan vector model, and judge whether to load successfully；If not loading success, terminate stream Journey；If loaded successfully, step 4 is performed；
    Step 4, display systems judge whether the blower fan relational database has new data, if not, terminating flow；If it is, Perform step 5；
    Step 5, display systems interact in real time with the blower fan relational database, by the sequencing in sampling time, successively Obtain the actual active power value of new blower fan being constantly stored in and corresponding air speed value；
    Step 6, when display systems often obtain the actual active power value of a blower fan being newly stored in and corresponding air speed value, press According to following methods, by the actual active power value P of blower fantBe converted to blower fan vector model tachometer value vt；Wherein, PtT is represented to obtain The actual active power value of blower fan got；vtRepresent the blower fan vector model tachometer value that t is got：
    1) if the air speed value that t is got is 0~5rpm, blower fan vector model tachometer value vtFor 0；
    2) if the air speed value that t is got is more than 25rpm, blower fan vector model tachometer value vtFor blower fan set in advance Vector model rotating speed maximum Wmax；
    3) if the air speed value that t is got is blower fan vector model tachometer value v in the range of 5~25rpmtIt is calculated as follows Obtain：
    <mrow> <msub> <mi>v</mi> <mi>t</mi> </msub> <mo>=</mo> <mfrac> <msub> <mi>P</mi> <mi>t</mi> </msub> <msub> <mi>P</mi> <mi>N</mi> </msub> </mfrac> <mo>&amp;times;</mo> <msub> <mi>V</mi> <mrow> <mi>m</mi> <mi>a</mi> <mi>x</mi> </mrow> </msub> </mrow>
    Wherein：PNFor the power-handling capability of blower fan；
    Step 7, it is assumed that in chronological sequence order obtains the n blower fan vector model tachometer value for needing to show altogether in some period vi(i=1,2,3 ..., n), wherein, the sampling time interval between two neighboring blower fan vector model tachometer value is 0.5 second；It is right In the adjacent blower fan vector model tachometer value of any two, smoothing processing is fitted using parabola Optimal Curve mode, is obtained To smoothed curve；Then, on the smoothed curve, at interval of one blower fan vector model tachometer value of 40ms interpolation；
    Step 8, display systems are in real time sweared the blower fan vector model tachometer value assignment that step 7 obtains to blower fan by JSP Model is measured, the blower fan vector model tachometer value that loading blower fan vector model is obtained by step 7 exports, and realizes that blower fan vector model turns Dynamic state smooth display.
  2. 2. the blower fan rotary state smooth display method according to claim 1 using SVG models, it is characterised in that step In rapid 7, for the adjacent blower fan vector model tachometer value of any two, it is fitted smoothly using parabola Optimal Curve mode Processing, obtains smoothed curve, is specially：
    Step 7.1, because in chronological sequence order obtains the n blower fan vector model rotating speed for needing to show altogether in some period Value vi(i=1,2,3 ..., n)；
    Step 7.2, for arbitrary vj, j=1,2,3 ... n-3, pass through vj, vj+1, vj+23 points of j-th strip parabola parametric equation Sj(tj) be：
    <mfenced open = "" close = ""> <mtable> <mtr> <mtd> <mrow> <msub> <mi>S</mi> <mi>j</mi> </msub> <mrow> <mo>(</mo> <msub> <mi>t</mi> <mi>j</mi> </msub> <mo>)</mo> </mrow> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <mo>=</mo> <mrow> <mo>(</mo> <mn>2</mn> <msubsup> <mi>t</mi> <mi>j</mi> <mn>2</mn> </msubsup> <mo>-</mo> <mn>3</mn> <msub> <mi>t</mi> <mi>j</mi> </msub> <mo>+</mo> <mn>1</mn> <mo>)</mo> </mrow> <msub> <mi>v</mi> <mi>j</mi> </msub> <mo>+</mo> <mrow> <mo>(</mo> <mn>4</mn> <msub> <mi>t</mi> <mi>j</mi> </msub> <mo>-</mo> <mn>4</mn> <msubsup> <mi>t</mi> <mi>j</mi> <mn>2</mn> </msubsup> <mo>)</mo> </mrow> <msub> <mi>v</mi> <mrow> <mi>j</mi> <mo>+</mo> <mn>1</mn> </mrow> </msub> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <mo>+</mo> <mrow> <mo>(</mo> <mn>2</mn> <msubsup> <mi>t</mi> <mi>j</mi> <mn>2</mn> </msubsup> <mo>-</mo> <msub> <mi>t</mi> <mi>j</mi> </msub> <mo>)</mo> </mrow> <msub> <mi>v</mi> <mrow> <mi>j</mi> <mo>+</mo> <mn>2</mn> </mrow> </msub> <mrow> <mo>(</mo> <mn>0</mn> <mo>&amp;le;</mo> <msub> <mi>t</mi> <mi>j</mi> </msub> <mo>&amp;le;</mo> <mn>1</mn> <mo>)</mo> </mrow> </mrow> </mtd> </mtr> </mtable> </mfenced>
    Wherein：vj, vj+1, vj+2Blower fan corresponding to+2 respectively j-th of sampled point ,+1 sampled point of jth and jth sampled points Vector model tachometer value；tjRepresent the sampling time corresponding to j-th of sampled point；
    Pass through vj+1, vj+2, vj+33 points+1 parabola parametric equation S of jthj+1(tj+1) be：
    <mfenced open = "" close = ""> <mtable> <mtr> <mtd> <mrow> <msub> <mi>S</mi> <mrow> <mi>j</mi> <mo>+</mo> <mn>1</mn> </mrow> </msub> <mrow> <mo>(</mo> <msub> <mi>t</mi> <mrow> <mi>j</mi> <mo>+</mo> <mn>1</mn> </mrow> </msub> <mo>)</mo> </mrow> <mo>=</mo> <mrow> <mo>(</mo> <mn>2</mn> <msubsup> <mi>t</mi> <mrow> <mi>j</mi> <mo>+</mo> <mn>1</mn> </mrow> <mn>2</mn> </msubsup> <mo>-</mo> <mn>3</mn> <msub> <mi>t</mi> <mrow> <mi>j</mi> <mo>+</mo> <mn>1</mn> </mrow> </msub> <mo>+</mo> <mn>1</mn> <mo>)</mo> </mrow> <msub> <mi>v</mi> <mrow> <mi>j</mi> <mo>+</mo> <mn>1</mn> </mrow> </msub> <mo>+</mo> <mrow> <mo>(</mo> <mn>4</mn> <msub> <mi>t</mi> <mrow> <mi>j</mi> <mo>+</mo> <mn>1</mn> </mrow> </msub> <mo>-</mo> <mn>4</mn> <msubsup> <mi>t</mi> <mrow> <mi>j</mi> <mo>+</mo> <mn>1</mn> </mrow> <mn>2</mn> </msubsup> <mo>)</mo> </mrow> <msub> <mi>v</mi> <mrow> <mi>j</mi> <mo>+</mo> <mn>2</mn> </mrow> </msub> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <mo>+</mo> <mrow> <mo>(</mo> <mn>2</mn> <msubsup> <mi>t</mi> <mrow> <mi>j</mi> <mo>+</mo> <mn>1</mn> </mrow> <mn>2</mn> </msubsup> <mo>-</mo> <msub> <mi>t</mi> <mrow> <mi>j</mi> <mo>+</mo> <mn>1</mn> </mrow> </msub> <mo>)</mo> </mrow> <msub> <mi>v</mi> <mrow> <mi>j</mi> <mo>+</mo> <mn>3</mn> </mrow> </msub> <mrow> <mo>(</mo> <mn>0</mn> <mo>&amp;le;</mo> <msub> <mi>t</mi> <mrow> <mi>j</mi> <mo>+</mo> <mn>1</mn> </mrow> </msub> <mo>&amp;le;</mo> <mn>1</mn> <mo>)</mo> </mrow> </mrow> </mtd> </mtr> </mtable> </mfenced>
    If weighting function is：F (T)=1-T, g (T)=T, (0≤T≤1)
    Wherein, f (T) is positive weighting function；G (T) is reverse weighting function；T represents the weighting cycle；
    Step 7.2 ,+1 parabola of j-th strip parabola and jth intersects line segment, i.e.,：Starting point is vj+1, terminating point vj+2Between Fitting and smoothing curvilinear equation be：
    vj+1(t)=f (T) Sj(tj)+g(T)Sj+1(tj+1) (0≤T≤1))
    If T=2t, tj=t-0.5, tj+1=t, bring the fitting and smoothing curvilinear equation of above formula into, obtain：
    vj+1(t)=(4t2-t-4t3)vj+(1-10t2+12t3)vj+1+(t+8t2-
    12t3)vj+2+(4t3-2t2)vj+3 (0≤t≤0.5)
    Step 7.3, therefore, for n blower fan vector model tachometer value υi(i=1,2,3 ..., n), using the method for step 7.2, V can be calculated2-v3Between fitting and smoothing curve, v3-v4Between fitting and smoothing curve ... until vn-2-vn-1Between plan Close smoothed curve；
    For v1-v2Between fitting and smoothing curve, calculated using following methods：In v1Left side sampled point v is set0, make v0= v2, v0And v1Between sampling interval be still designated as 0.5, then the fitting and smoothing curvilinear equation using step 7.2, you can calculate To v1-v2Between fitting and smoothing curve；
    For vn-1-vnBetween fitting and smoothing curve, calculated using following methods：In vnLeft side sampled point v is setn+1, order vn+1=vn-1, vnAnd vn-1Between sampling interval be still designated as 0.5, then the fitting and smoothing curvilinear equation using step 7.2, i.e., V can be calculatedn-1-vnBetween fitting and smoothing curve.
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