CN107391850B - Fan rotation state smooth display method using SVG model - Google Patents

Fan rotation state smooth display method using SVG model Download PDF

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Publication number
CN107391850B
CN107391850B CN201710612401.6A CN201710612401A CN107391850B CN 107391850 B CN107391850 B CN 107391850B CN 201710612401 A CN201710612401 A CN 201710612401A CN 107391850 B CN107391850 B CN 107391850B
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fan
vector model
rotating speed
speed value
smooth curve
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CN107391850A (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 E Techstar Co ltd
State Grid Corp of China SGCC
State Grid Jibei Electric Power Co Ltd
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Beijing E Techstar Co ltd
State Grid Corp of China SGCC
State Grid Jibei Electric Power Co Ltd
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    • G06FELECTRIC DIGITAL DATA PROCESSING
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Abstract

The invention provides a method for smoothly displaying the rotation state of a fan by using an SVG model, which comprises the following steps: when a new stored fan actual active power value and a corresponding wind speed value are obtained, the fan actual active power value P is obtainedtConverted into fan vector model rotating speed value vt(ii) a For any two adjacent fan vector model rotating speed values, fitting and smoothing are carried out by utilizing a parabolic optimization curve mode, and then interpolation is carried out; and the display system assigns the rotating speed value of the fan vector model to the fan vector model in real time through the JSP page, loads and outputs the fan vector model, and realizes smooth display of the rotating state of the fan vector model. Has the advantages that: the method not only can display the instant rotating speed of the fan in real time, but also can smoothly process the change process between two data sampling points, thereby achieving the process animation change process within the human eye frame number identification range, enabling the fan model to truly display the actual running state of the fan, and meeting the requirement of human eye comfort.

Description

Fan rotation state smooth display method using SVG model
Technical Field
The invention belongs to the technical field of displaying various states of fans in wind power plants and distributed power generation, and particularly relates to a smooth displaying method for the rotation state of a fan by using an SVG (scalable vector graphics) model.
Background
Monitoring personnel of a wind power plant, a new energy micro-grid and a power grid company need to master state information of a fan, particularly rotating speed information of the fan in real time through a software platform. The excellent display method can completely, clearly and vividly show information required to be obtained by monitoring personnel, and the current fan display mainly comprises the following steps: making a fan state rotation picture with a single wind speed; the pictures are displayed in sequence through JS in the page, and the visual rotating effect is achieved.
The fan display method has the main problems that: the requirement of comfort degree of human eyes to the rotational speed is not considered in the display of the rotational speed of the fan model, so that the phenomenon of blocking in vision is easily caused, and the watching experience of monitoring personnel is influenced.
Disclosure of Invention
Aiming at the defects in the prior art, the invention provides a method for smoothly displaying the rotation state of a fan by using an SVG model, which can effectively solve the problems.
The technical scheme adopted by the invention is as follows:
the invention provides a method for smoothly displaying the rotation state of a fan by using an SVG model, which comprises the following steps:
step 1, establishing a fan relation database; the fan relation database is used for storing the actual active power value of the fan sampled according to the sampling frequency of 0.5 second/fan and the corresponding wind speed value in real time;
step 2, the display system establishes connection with the local fan relational database through a data connection buffer pool of Tomcat;
step 3, loading a fan vector model by the display system, and judging whether the loading is successful; if the loading is not successful, the flow is ended; if the loading is successful, executing the step 4;
step 4, the display system judges whether the fan relational database has new data, if not, the process is ended; if yes, executing step 5;
step 5, the display system interacts with the fan relation database in real time, and new fan actual active power values and corresponding wind speed values which are stored continuously are obtained in sequence according to the sequence of sampling time;
and 6, when the display system obtains a newly stored actual active power value of the fan and a corresponding wind speed value, the actual active power value P of the fan is determined according to the following methodtConverted into fan vector model rotating speed value vt(ii) a Wherein, PtRepresenting the actual active power value of the fan obtained at the moment t; v. oftRepresenting the rotating speed value of the fan vector model acquired at the moment t:
1) if the wind speed value obtained at the moment t is 0-5 rpm, determining the rotating speed value v of the fan vector modeltIs 0;
2) if the wind speed value obtained at the moment t is greater than 25rpm, the rotating speed value v of the fan vector modeltFor the preset maximum value V of the rotating speed of the fan vector modelmax
3) If the wind speed value obtained at the moment t is within the range of 5-25 rpm, determining the rotating speed value v of the fan vector modeltCalculated as follows:
Figure BDA0001359817080000021
wherein: pNThe rated power value of the fan is set;
step 7, assuming that n fan vector model rotating speed values v which need to be displayed are obtained in a certain time period according to the time sequencei(i ═ 1, 2, 3.., n), wherein the sampling time interval between two adjacent fan vector model speed values is 0.5 second; for any two adjacent fan vector model rotating speed values, fitting and smoothing are carried out by utilizing a parabolic optimization curve mode to obtain a smooth curve; then, interpolating a fan vector model rotating speed value every 40ms on the smooth curve;
and 8, assigning the rotating speed value of the fan vector model obtained in the step 7 to the fan vector model in real time through a JSP (Java Server pages) page by the display system, loading the fan vector model, and outputting the rotating speed value of the fan vector model obtained in the step 7 to realize smooth display of the rotating state of the fan vector model.
Preferably, in step 7, for any two adjacent fan vector model rotation speed values, fitting and smoothing are performed in a parabolic optimization curve mode to obtain a smooth curve, which specifically includes:
step 7.1, n fan vector model rotating speed values v which need to be displayed are obtained in a certain time period according to the time sequencei(i=1,2,3,...,n);
Step 7.2, for arbitrary vjN-3, by vj,vj+1,vj+2The jth parabola parameter equation S of three pointsj(tj) Comprises the following steps:
Figure BDA0001359817080000031
wherein: v. ofj,vj+1,vj+2Respectively corresponding fan vector model rotating speed values of a jth sampling point, a jth +1 sampling point and a jth +2 sampling point; t is tjRepresenting the sampling time corresponding to the jth sampling point;
by vj+1,vj+2,vj+3The j +1 th parabola parameter equation S of three pointsj+1(tj+1) Comprises the following steps:
Figure BDA0001359817080000032
let the weighting function be: f (T) ═ 1-T, g (T) ═ T, (0 ≦ T ≦ 1)
Wherein f (T) is a forward weighting function; g (T) is a reverse weighting function; t represents a weighting period;
step 7.2, the j-th parabola and the j + 1-th parabola cross the line segment, namely: starting point is vj+1V is a termination pointj+2The fitted smooth curve equation between is:
vj+1(t)=f(T)Sj(tj)+g(T)Sj+1(tj+1)(0≤T≤1))
let T be 2T, Tj=t-0.5,tj+1And (5) substituting the fitted smooth curve equation of the formula to 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 fan vector model rotation speed values vi( i 1, 2, 3.., n), using the method of step 7.2, v can be calculated2-v3Fitted smooth curve between, v3-v4Until vn-2-vn-1A fitted smooth curve therebetween;
for v1-v2The fitted smooth curve between the two curves is calculated by adopting the following method: at v1Left side of (v) is provided with a sampling point v0Let v stand for0=v2,v0And v1The sampling interval is still marked as 0.5, and then the fitting smooth curve equation of the step 7.2 is adopted, so that the v can be calculated1-v2In the middle ofCombining smooth curves;
for vn-1-vnThe fitted smooth curve between the two curves is calculated by adopting the following method: at vnLeft side of (v) is provided with a sampling point vn+1Let v stand forn+1=vn-1,vnAnd vn-1The sampling interval is still marked as 0.5, and then the fitting smooth curve equation of the step 7.2 is adopted, so that the v can be calculatedn-1-vnThe fit between the two is a smooth curve.
The method for smoothly displaying the rotation state of the fan by using the SVG model has the following advantages:
the method for smoothly displaying the rotation state of the fan by using the SVG model not only can display the instant rotation speed of the fan in real time, but also can smoothly process the change process between two data sampling points, thereby achieving the process animation change process in the human eye frame number identification range, enabling the fan model to truly display the actual operation state of the fan, and meeting the requirement of human eye comfort.
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FIG. 1 is a schematic flow chart of a method for smoothly displaying the rotation state of a fan by using an SVG model according to the present invention;
FIG. 2 is a diagram of the effect before the interpolation data processing;
FIG. 3 is a diagram of the effect of the interpolated data after processing;
FIG. 4 is a first schematic view of a crossing line segment of two adjacent parabolic curves;
FIG. 5 is a second schematic diagram of a crossing line segment of two adjacent parabolic curves;
FIG. 6 is a diagram of the overall effect of the present invention after fitting.
Detailed Description
In order to make the technical problems, technical solutions and advantageous effects solved by the present invention more clearly apparent, the present invention is further described in detail below with reference to the accompanying drawings and embodiments. It should be understood that the specific embodiments described herein are merely illustrative of the invention and are not intended to limit the invention.
According to the invention, the fan model is established by using AI, so that a very beautiful three-dimensional fan model can be efficiently made, and the characteristics of high stability and high loading speed are displayed in an interface by using the SVG file, so that the problems of false death of pages and the like are avoided. In addition, because most of the current monitoring systems are based on the B/S system and are dynamic media, SVG needs to have dynamic characteristics to become a network image format, which is an important characteristic different from other image formats. SVG is XML-based, providing incomparable dynamic interactivity.
According to the system, an Adobe Illustrator is adopted to design a fan vector model, an SVG file is generated, and the SVG is embedded into a web page for dynamic interactive control. The system is designed and developed based on a B/S mode, fusion and universality among different platforms are considered, the platforms are developed based on a Java basis, an international standard J2EE technology is adopted, an SVG (scalable vector graphics) fan model is adopted, XML is used as a standard of universal data interaction, and asynchronous interaction among data is carried out by utilizing AJAX. Different users can access the database by entering an IP address through a browser.
Interpretation of terms related to the present invention:
1、SVG:
SVG (scalable vector graphics), which is a graphics format based on the extensible markup language (a subset of the standard universal markup language) for describing two-dimensional vector graphics. It is an open standard, established by the world wide web consortium.
2. Spline curve:
by Spline Curves (Spline Curves) is meant a curve given a set of control points, the approximate shape of which is controlled by these points, and can be generally divided into interpolation splines, which are commonly used in the design of digital drawings or animations, and approximation splines, which are commonly used to construct the surface of an object.
3. Frame number:
the frame number (Frames) is an abbreviation for the number of generated Frames. For reasons of spoken habits, we usually confuse frame numbers with frame rates. Each frame is a still image and displaying frames in rapid succession creates motion artifacts, so that a high frame rate results in a smoother, more realistic animation.
4、Ajax
AJAX, namely "Asynchronous JavaScript And XML", refers to a web page development technique for creating interactive web page applications. AJAX can enable asynchronous updating of web pages by exchanging a small amount of data with a server in the background. This means that certain parts of the web page can be updated without reloading the entire web page.
Referring to fig. 1, the method for smoothly displaying the rotation state of a fan by using an SVG model according to the present invention includes the following steps:
step 1, establishing a fan relation database; the fan relation database is used for storing the actual active power value of the fan sampled according to the sampling frequency of 0.5 second/fan and the corresponding wind speed value in real time;
step 2, the display system establishes connection with the local fan relational database through a data connection buffer pool of Tomcat;
step 3, loading a fan vector model by the display system, and judging whether the loading is successful; if the loading is not successful, the flow is ended; if the loading is successful, executing the step 4;
step 4, the display system judges whether the fan relational database has new data, if not, the process is ended; if yes, executing step 5;
step 5, the display system interacts with the fan relation database in real time, and new fan actual active power values and corresponding wind speed values which are stored continuously are obtained in sequence according to the sequence of sampling time;
and 6, when the display system obtains a newly stored actual active power value of the fan and a corresponding wind speed value, the actual active power value P of the fan is determined according to the following methodtConverted into fan vector model rotating speed value vt(ii) a Wherein, PtRepresenting the actual active power value of the fan obtained at the moment t; v. oftRepresenting the rotating speed value of the fan vector model acquired at the moment t:
1) if the wind speed value obtained at the moment t is 0-5 rpm, determining the rotating speed value v of the fan vector modeltIs 0;
2) if the wind speed value obtained at the moment t is greater than 25rpm, the rotating speed value v of the fan vector modeltFor the preset maximum value V of the rotating speed of the fan vector modelmax
3) If the wind speed value obtained at the moment t is within the range of 5-25 rpm, calculating the rotating speed value vt of the fan vector model according to the following formula:
Figure BDA0001359817080000071
wherein: pNThe rated power value of the fan is set;
the reason for the design in the step is as follows:
the active power of the fan is almost close to a rated value when the wind speed reaches 20m/s, and the rotating speed of the fan cannot be increased along with the increase of the wind speed, so that the active power of the fan is selected as a control variable for judging the display of the SVG model of the fan.
The rotating speed range of the large-scale wind driven generator is generally 0-20 rpm, and in a computer interface and a large monitoring screen, the rotating speed is very low, even human eyes cannot notice the rotation of the fan, so that the display rotating speed of the fan needs to be optimized according to the requirements of human eye recognition and comfort level.
In order to meet more requirements, the rotating speed range of the fan is considered to be 0-25 rpm. Through test tests, the distinguishing and comfort range of human eyes to the rotating speed of the fan model on a computer and a display large screen is about 10-50 rpm, so that the range of the rotating speed of the fan being 0-5 rpm is set as a starting and stopping display range, the range of 5-25 rpm is set as a normal display range, and the rotating speed displayed in the model is not increased when the rotating speed of the fan is more than 25 rpm.
And 7: because the acquired data are second-level data sampling points, the maximum identification frame number of human eyes is 25 frames, otherwise, a visual stuck phenomenon is caused, and therefore, smooth interpolation processing needs to be carried out between two sampling points, namely, a transition value is inserted every 40ms, so that the rotation speed is in flexible transition visually. The comparative effect graphs before and after the interpolation data processing are shown in fig. 2 and 3.
The v-t curve smoothing algorithm describes:
suppose that a time period contains n sampling points v to be displayedi( i 1, 2, 3.., n), a piecewise fitting may be performed using a quadratic parabola for the v-t curve and the desired fitted smooth curve form:
with v1,v2,v3Drawing a parabola passing through three points for the control point, and then using v2,v3,v4Drawing a second parabola through the three points for the control points until the last three points vn-2,vn-1,vnParabolas are drawn for three points. Finally, n-2 parabolic curves can be drawn. An adjacent intersecting curve segment occurs between every two parabolic curves, as shown in fig. 4, which is a first schematic diagram of the intersecting segment between the two adjacent parabolic curves.
In fig. 4, the expected result of weighted fitting for every two adjacent parabolas is the line 1 in fig. 4, and the starting point and the ending point are respectively vi+1And vi+2
(1) By solving three-point parabolic equations
Suppose passing v0,v1,v2Parabolic equation of three points
vt=a+bt+Ct2(0≤t≤1)
The conditions for the assumption are such that when t is 0, 0.5, or 1, the curve passes through v0,v1,v2Three points are obtained by substituting solution, and the matrix form of the quadratic parabolic curve is as follows:
Figure BDA0001359817080000081
namely:
v(t)=(2t2-3t+1)v0+(4t-4t2)v1+(2t2-t)v2(0≤t≤1)
the quadratic parabolic curve equation obtained here is used in the subsequent step 7.2.
Assuming that n fan vector model rotating speed values v which need to be displayed are obtained in a certain time period according to time sequencei(i ═ 1, 2, 3.., n), wherein the sampling time interval between two adjacent fan vector model speed values is 0.5 second; for any two adjacent fan vector model rotating speed values, fitting and smoothing are carried out by utilizing a parabolic optimization curve mode to obtain a smooth curve; then, interpolating a fan vector model rotating speed value every 40ms on the smooth curve;
in this step, for any two adjacent fan vector model rotation speed values, fitting smoothing is performed by using a parabolic optimization curve mode to obtain a smooth curve, which specifically comprises:
step 7.1, n fan vector model rotating speed values v which need to be displayed are obtained in a certain time period according to the time sequencei(i=1,2,3,...,n);
Step 7.2, referring to fig. 5, is a second schematic diagram of the intersecting line segment of two adjacent parabolic curves.
For arbitrary vjN-3, by vj,vj+1,vj+2The jth parabola parameter equation S of three pointsj(tj) Comprises the following steps:
Figure BDA0001359817080000091
wherein: v. ofj,vj+1,vj+2Respectively corresponding fan vector model rotating speed values of a jth sampling point, a jth +1 sampling point and a jth +2 sampling point; t is tjRepresenting the sampling time corresponding to the jth sampling point;
by vj+1,vj+2,vj+3The j +1 th parabola parameter equation S of three pointsj+1(tj+1) Comprises the following steps:
Figure BDA0001359817080000092
if a smooth curve with an expected effect is desired, a smoothing processing effect needs to appear at each joint point, namely a smoothing weighting processing mode can be adopted:
let the weighting function be: f (T) ═ 1-T, g (T) ═ T, (0 ≦ T ≦ 1)
Wherein f (T) is a forward weighting function; g (T) is a reverse weighting function; t represents a weighting period;
step 7.2, the j-th parabola and the j + 1-th parabola cross the line segment, namely: starting point is vj+1V is a termination pointj+2The fitted smooth curve equation between is:
vj+1(t)=f(T)Sj(tj)+g(T)Sj+1(tj+1)(0≤T≤1))
let T be 2T, Tj=t-0.5,tj+1And (5) substituting the fitted smooth curve equation of the formula to 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 fan vector model rotation speed values vi( i 1, 2, 3.., n), using the method of step 7.2, v can be calculated2-v3Fitted smooth curve between, v3-v4Until vn-2-vn-1A fitted smooth curve therebetween;
that is to say: when j is 1, the curve is at v2、v3To (c) to (d); when j is 2, the curve is at v3、v4To (c) to (d); .. when j-n-3, the curve lies at vn-2、vn-1To (c) to (d);
and (5) performing point complementation on the head point and the tail point according to the condition that the reciprocal of the two points is zero and equal. Namely: for v1-v2The fitted smooth curve between the two curves is calculated by adopting the following method: at v1Left side of (v) is provided with a sampling point v0Let v stand for0=v2,v0And v1The sampling interval between is still noted as 0.5And then the fitting smooth curve equation of the step 7.2 is adopted to calculate the v1-v2A fitted smooth curve therebetween;
for vn-1-vnThe fitted smooth curve between the two curves is calculated by adopting the following method: at vnLeft side of (v) is provided with a sampling point vn+1Let v stand forn+1=vn-1,vnAnd vn-1The sampling interval is still marked as 0.5, and then the fitting smooth curve equation of the step 7.2 is adopted, so that the v can be calculatedn-1-vnThe fit between the two is a smooth curve.
The overall fitted effect graph is shown in fig. 6 by adopting the method of the invention.
And 8, assigning the rotating speed value of the fan vector model obtained in the step 7 to the fan vector model in real time through a JSP (Java Server pages) page by the display system, loading the fan vector model, and outputting the rotating speed value of the fan vector model obtained in the step 7 to realize smooth display of the rotating state of the fan vector model.
The invention provides a method for smoothly displaying the rotation state of a fan by using an SVG model, which has the following characteristics:
(1) firstly, the method for displaying the running state of the wind driven generator makes the required information clear at a glance and improves the working efficiency.
(2) The method and the device can dynamically change the rotating speed of the fan model in real time by directly modifying the code function parameter instruction mode while showing the fan effect, can more visually, dynamically and conveniently realize data visualization, and simultaneously reduce the consumption of system memory and improve the system efficiency.
(3) According to the invention, through a curve smoothing algorithm, when interpolation is carried out between any two sampling points, the interpolation data is smoothly processed, and simultaneously, the optimal frame number comfort level of human eyes is visually achieved.
(4) The method for displaying the running state of the wind driven generator meets the requirements of wind publishing industry rapidly developed at home and abroad on excellent display modes in the monitoring platform, and promotes the improvement of the software display effect of the wind generation monitoring platform.
In conclusion, the method for smoothly displaying the rotation state of the fan by using the SVG model provided by the invention not only can display the instant rotation speed of the fan in real time, but also can smoothly process the change process between two data sampling points, thereby achieving the process animation change process within the human eye frame number identification range, enabling the fan model to truly display the actual operation state of the fan, and meeting the requirement of human eye comfort level.
The foregoing is only a preferred embodiment of the present invention, and it should be noted that, for those skilled in the art, various modifications and improvements can be made without departing from the principle of the present invention, and such modifications and improvements should also be considered within the scope of the present invention.

Claims (1)

1. A method for smoothly displaying the rotation state of a fan by using an SVG model is characterized by comprising the following steps:
step 1, establishing a fan relation database; the fan relation database is used for storing the actual active power value of the fan sampled according to the sampling frequency of 0.5 second/fan and the corresponding wind speed value in real time;
step 2, the display system establishes connection with the local fan relational database through a data connection buffer pool of Tomcat;
step 3, loading a fan vector model by the display system, and judging whether the loading is successful; if the loading is not successful, the flow is ended; if the loading is successful, executing the step 4;
step 4, the display system judges whether the fan relational database has new data, if not, the process is ended; if yes, executing step 5;
step 5, the display system interacts with the fan relation database in real time, and new fan actual active power values and corresponding wind speed values which are stored continuously are obtained in sequence according to the sequence of sampling time;
and 6, when the display system obtains a newly stored actual active power value of the fan and a corresponding wind speed value, the actual active power value P of the fan is determined according to the following methodtConverted into fan vector model rotating speed value vt(ii) a Wherein Pt represents tObtaining the actual active power value of the fan at any moment; v. oftRepresenting the rotating speed value of the fan vector model acquired at the moment t:
1) if the wind speed value obtained at the moment t is as follows: if the speed is more than 0rpm and less than 5rpm, the rotating speed value v of the fan vector model istIs 0;
2) if the wind speed value obtained at the moment t is greater than 25rpm, the rotating speed value vt of the fan vector model is the preset maximum rotating speed value V of the fan vector modelmax
3) If the wind speed value obtained at the moment t is as follows: more than or equal to 5rpm and less than or equal to 25rpm, the rotating speed value v of the fan vector modeltCalculated as follows:
Figure FDA0002760961800000011
wherein: pNThe rated power value of the fan is set;
step 7, assuming that n fan vector model rotating speed values v which need to be displayed are obtained in a certain time period according to the time sequencei1, 2, 3, a, n, wherein the sampling time interval between two adjacent fan vector model rotating speed values is 0.5 second; for any two adjacent fan vector model rotating speed values, fitting and smoothing are carried out by utilizing a parabolic optimization curve mode to obtain a smooth curve; then, interpolating a fan vector model rotating speed value every 40ms on the smooth curve;
step 8, assigning the rotating speed value of the fan vector model obtained in the step 7 to the fan vector model in real time through a JSP (Java Server pages) page by the display system, loading the fan vector model, and outputting the rotating speed value of the fan vector model obtained in the step 7 to realize smooth display of the rotating state of the fan vector model;
in step 7, fitting and smoothing any two adjacent fan vector model rotation speed values by using a parabolic optimization curve mode to obtain a smooth curve, specifically:
step 7.1, n fan vectors to be displayed are obtained in a certain time period according to the time sequenceQuantity model rotation speed value vi,i=1,2,3,...,n;
Step 7.2, for arbitrary vjJ is 1, 2, 3 … n-3, by vj,vj+1,vj+2The jth parabola parameter equation S of three pointsj(tj) Comprises the following steps:
Figure FDA0002760961800000021
wherein: v. ofj,vj+1,vj+2Respectively corresponding fan vector model rotating speed values of a jth sampling point, a jth +1 sampling point and a jth +2 sampling point; t is tjRepresenting the sampling time corresponding to the jth sampling point;
by vj+1,vj+2,vj+3The j +1 th parabola parameter equation S of three pointsj+1(tj+1) Comprises the following steps:
Figure FDA0002760961800000022
let the weighting function be: f (T) ═ 1-T, g (T) ═ T;
wherein f (T) is a forward weighting function; g (T) is a reverse weighting function; t represents a weighting period;
step 7.3, the j-th parabola and the j + 1-th parabola cross the line segment, namely: starting point is vj+1V is a termination pointj+2The fitted smooth curve equation between is:
vj+1(t)=f(T)Sj(tj)+g(T)Sj+1(tj+1)
let T be 2T, Tj=t-0.5,tj+1And (5) substituting the fitted smooth curve equation of the formula to obtain:
vj+1(t)=(-4t3+12t2-11t+3)vj+(12t3-26t2+16t-3)vj+1+(-12t3+16t2-5t+1)vj+2+(4t3-2t2)vj+3(ii) a Wherein t represents a sampling time;
step 7.4, therefore, for n fan vector model rotation speed values vi1, 2, 3.., n, using the method of step 7.3, v can be calculated2-v3Fitted smooth curve between v3-v4Fit a smooth curve between until vn-2-vn-1A fitted smooth curve therebetween;
for v1-v2The fitted smooth curve between the two curves is calculated by adopting the following method: at v1Left side of (v) is provided with a sampling point v0Let v stand for0=v2,v0And v1The sampling interval is still marked as 0.5, and then the fitting smooth curve equation of the step 7.3 is adopted, so that the v can be calculated1-v2A fitted smooth curve therebetween;
for vn-1-vnThe fitted smooth curve between the two curves is calculated by adopting the following method: at vnSet sampling point v on the right side ofn+1Let v stand forn+1=vn-1,vnAnd vn+1The sampling interval is still marked as 0.5, and then the fitting smooth curve equation of the step 7.3 is adopted, so that the v can be calculatedn-1-vnThe fit between the two is a smooth curve.
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