Disclosure of Invention
Aiming at the problems in the prior art, the invention provides a heliostat light condensation efficiency evaluation method under the action of wind load, and the technical problems to be solved by the invention are as follows: how to provide a heliostat condensing efficiency evaluation method under the action of wind load.
The purpose of the invention can be realized by the following technical scheme:
a heliostat condensing efficiency evaluation method under the action of wind load comprises the following steps:
s1: acquiring a pitch angle and a second azimuth angle of the heliostat at preset time through a first azimuth angle and a height angle of the sun relative to the earth at preset time;
s2: acquiring surface wind pressure of the heliostat at preset time, converting the surface wind pressure into an actual load applied to the finite element structure, and applying the actual load to the finite element structure to perform structural deformation calculation to acquire mirror surface deformation information of the heliostat;
s3: and extracting the coordinates of the deformation points in the subareas according to the mirror surface deformation information, establishing a heliostat field space coordinate system according to the coordinates of the deformation points, calculating the relation between a reflection line corresponding to the deformation points and a heat absorption area on the heat collection tower by utilizing a vector relation through a pitch angle and an azimuth angle under the heliostat field space coordinate system, and acquiring the light condensation efficiency caused by wind load when the heliostat is in preset time.
Preferably, step S1 includes:
s11: introducing an equatorial coordinate system and a horizon coordinate system;
s12: by the formula
Calculating declination angle
Wherein n represents a preset date in the year;
s13: by the formula
Calculating when the sun is presetFirst azimuth angle with respect to the earth at time
And by formula
Calculating the altitude angle of the sun relative to the earth at a preset time
Wherein
Representing the geographical latitude at a preset location,
representing the angle of time
,
Indicating the time of day.
Preferably, step S1 further includes:
s14: establishing a space coordinate system which takes the bottom of a heat absorption tower as an origin of coordinate axes, the height direction of the heat absorption tower as a Z axis and the ground plane of the heliostat as an X-Y plane;
s15: determining the central position of the heat absorption tower as the point A (0, 0, Z) in the space coordinate system
A) Determining a P point (X) of a predetermined heliostat in a heliostat field whose center is an X-Y plane
P,Y
P0), unit vector of incident solar ray at point P of
And unit vector of reflected ray from P to A
Respectively by formula
And
calculating;
s16: in that
And
in the plane of the drawing there is shown,
is a normal vector of the mirror surface,
、
and
the included angle is
Then can obtain
,
,
,
,
,
Wherein
The pitch angle of the normal vector of the mirror surface at the preset position of the heliostat at the preset time,
a second azimuth angle of the normal vector of the mirror surface at the preset position of the heliostat at the preset time.
Preferably, step S2 includes:
s21: establishing a calculation model of the heliostat;
s22: creating a watershed computing grid around the heliostat according to the computing model;
s23: calculating and acquiring mirror surface wind pressure through computational fluid dynamics under a computational grid;
s24: extracting the wind pressure values of the mirror surface control points, selecting a first preset number of extraction points in each wind load control area, and finally calculating the wind pressure value of the control point according to the wind pressure average value of the first preset number of points;
s25: and applying the calculated wind pressure value editing ANSYS command at the corresponding moment to the heliostat finite element model to perform structural deformation calculation to obtain the mirror surface deformation information of the heliostat.
Preferably, in step S2, the surface wind pressure of the heliostat at a preset time is obtained through a CFD calculation software ANSYS-Fluent simulation, the surface wind pressure is converted into an actual load applied to the finite element structure, and the actual load is written into an ANSYS command and applied to the finite element structure to perform structural deformation calculation to obtain the mirror deformation information of the heliostat.
Preferably, step S3 includes:
s31: dividing the single mirror surface into a plurality of preset areas with the control point as the center;
s32: extracting the coordinate values of the preset area after the first preset number of end points are deformed by Ansys calculation, and utilizing
Three end points forming a plane N
1From the coordinates of the three end points, N can be derived
1Normal vector of plane
;
S33: in N
1Selecting a second preset number of deformation points in the area, wherein each point shares N
1Vector of plane normal
And calculating the relation between the reflection line corresponding to each deformation point and a heat absorption area on the heat collection tower by utilizing a vector relation through a pitch angle and an azimuth angle in a heliostat field coordinate system.
Preferably, step S3 further includes:
s34: according to the reflection principle, the reflection coefficient can be in N
1Selected points within a region
And incident light
By the formula
、
Calculating the vector of the reflected light
And calculating a reflected light equation and calculating the number of points on the light loss receiving area, and calculating the effective reflecting surface of the mirror surface of the area through the number of points on the area surface to finally obtain the light condensation efficiency.
Preferably, S32: extracting the coordinate values of the deformed four endpoints of the preset area by Ansys calculation, wherein
Three end points forming a plane N
1From the coordinates of the three end points, N can be derived
1Normal vector of plane
。
Preferably, S24: extracting the wind pressure value of the mirror control point, selecting 4 extraction points in each wind load control area, and finally calculating the wind pressure value of the control point according to the wind pressure mean value of the 4 extraction points
,
Wherein
Corresponds to the first
The mirror is
Arrange first
And (4) a control point.
Preferably, the vector is passed in step S34
Calculating the equation of the reflected ray
Calculating the number of points on the receiving region by calculating the light loss, and calculating the effective reflection area of the mirror surface in the region by point number
By the formula
Calculating the reflection area
By the formula
Calculating the light condensing efficiency, wherein
Is the area of the mirror surface in the region,
the total number of points in the area is,
to reflect the number of points of the light in the receiving area,
the light condensing efficiency.
The heliostat condensing efficiency evaluation method under the wind load effect can solve the problem that structural deformation caused by wind load in the existing evaluation method needs to evaluate condensing efficiency, is not limited to verification evaluation after a heliostat field is built, can carry out calculation based on local meteorological data for priori evaluation, carries out evaluation before the heliostat field is built, can obtain the surface deformation information of the heliostat under the wind load effect by arranging a displacement sensor on the surface of the heliostat after the heliostat field is built, can still adopt the method to carry out long-term monitoring on condensing efficiency, and can provide calculation basis for the light and heat power station for evaluating the condensing efficiency of the heliostat in advance and monitoring afterwards.
Detailed Description
The following are specific embodiments of the present invention and are further described with reference to the drawings, but the present invention is not limited to these embodiments.
Referring to fig. 1, fig. 2, fig. 3, fig. 4, fig. 5, fig. 6, fig. 7, and fig. 8, the method for evaluating the light condensing efficiency of a heliostat under the action of wind load in the present embodiment includes the following steps:
s1: acquiring a pitch angle and a second azimuth angle of the heliostat at preset time through a first azimuth angle and a height angle of the sun relative to the earth at preset time;
s2: acquiring surface wind pressure of the heliostat at preset time, converting the surface wind pressure into an actual load applied to the finite element structure, and applying the actual load to the finite element structure to perform structural deformation calculation to acquire mirror surface deformation information of the heliostat;
s3: and extracting the coordinates of the deformation points in the subareas according to the mirror surface deformation information, establishing a heliostat field space coordinate system according to the coordinates of the deformation points, calculating the relation between a reflection line corresponding to the deformation points and a heat absorption area on the heat collection tower by utilizing a vector relation through a pitch angle and an azimuth angle under the heliostat field space coordinate system, and acquiring the light condensation efficiency caused by wind load when the heliostat is in preset time.
The heliostat condensing efficiency evaluation method under the wind load effect can solve the problem that structural deformation caused by wind load in the existing evaluation method is required for condensing efficiency evaluation, the evaluation method is not limited to verification evaluation after a heliostat field is built, calculation can be carried out on the basis of local meteorological data for priori evaluation before the heliostat field is built, after the heliostat field is built, a displacement sensor is arranged on the surface of the heliostat, after the surface deformation information of the heliostat under the wind load effect is obtained, long-term condensation efficiency monitoring can still be carried out by adopting the method, and calculation basis of heliostat condensing efficiency pre-evaluation and post-monitoring can be provided for a photo-thermal power station.
Referring to fig. 1 and 2, step S1 includes:
s11: introducing an equatorial coordinate system and a horizon coordinate system;
s12: by the formula
Calculating declination angle
Wherein n represents a preset date in the year, and n represents the day of the year when counted by taking 1 month and 1 day as a starting point, and 2019 is taken as an example: spring minutes n = 80; summer solstice n = 172; autumn divided day n = 266; winter solstice day n = 356;
s13: by the formula
Calculating a first azimuth angle of the sun relative to the earth at a preset time
And by formula
Calculating the altitude angle of the sun relative to the earth at a preset time
Wherein
Representing the geographical latitude at a preset location,
representing the angle of time
,
The time is shown and corresponds to 24 hours.
Referring to fig. 3, step S1 further includes:
s14: establishing a space coordinate system which takes the bottom of a heat absorption tower as an origin of coordinate axes, the height direction of the heat absorption tower as a Z axis and the ground plane of the heliostat as an X-Y plane;
s15: determining the central position of the heat absorption tower as the point A (0, 0, Z) in the space coordinate system
A) Determining a P point (X) of a predetermined heliostat in a heliostat field whose center is an X-Y plane
P,Y
P0), unit vector of incident solar ray at point P of
And unit vector of reflected ray from P to A
Respectively by formula
And
calculating;
s16: in that
And
in the plane of the drawing there is shown,
is a normal vector of the mirror surface,
、
and
the included angle is
Then can obtain
,
,
,
,
,
Wherein
The pitch angle of the normal vector of the mirror surface at the preset position of the heliostat at the preset time,
a second azimuth angle of the normal vector of the mirror surface at the preset position of the heliostat at the preset time.
Referring to fig. 4, 5 and 6, step S2 includes:
s21: establishing a calculation model of the heliostat;
s22: creating a watershed computing grid around the heliostat according to the computing model;
s23: calculating and acquiring mirror surface wind pressure through computational fluid dynamics under a computational grid;
s24: extracting the wind pressure values of the mirror control points, selecting a first preset number of extraction points in each wind load control area, and finally calculating the wind pressure value of the control point according to the wind pressure average value of the first preset number of extraction points;
s25: and applying the calculated wind pressure value editing ANSYS command at the corresponding moment to the heliostat finite element model to perform structural deformation calculation to obtain the mirror surface deformation information of the heliostat.
In step S2, surface wind pressure of the heliostat at a preset time is obtained through CFD calculation software ANSYS-Fluent simulation, the surface wind pressure is converted into an actual load applied to the finite element structure, and the actual load is compiled into an ANSYS command and applied to the finite element structure to perform structural deformation calculation to obtain mirror surface deformation information of the heliostat.
Referring to fig. 7 and 8, step S3 includes:
s31: dividing a single mirror into a plurality of preset areas with a control point as the center, such as a whole partition area diagram in FIG. 7, and dividing the whole mirror into a plurality of areas, such as a simulation area of A11 in FIG. 8;
s32: extracting the coordinate values of the preset area after the first preset number of end points are deformed by Ansys calculation, and utilizing
Three end points forming a plane N
1From the coordinates of the three end points, N can be derived
1Normal vector of plane
;
S33: in N
1Selecting a second preset number of deformation points in the region, wherein the second preset number is large enough to improve the precision, and the points share the normal vector
And calculating the relation between the reflection line corresponding to each deformation point and a heat absorption area on the heat collection tower by utilizing a vector relation through a pitch angle and an azimuth angle in a heliostat field coordinate system.
Step S3 further includes:
s34: according to the reflection principle, the reflection coefficient can be in N
1Selected points within a region
And incident light
By the formula
、
Calculating the vector of the reflected light
And calculating a reflected light equation and calculating the number of points on the light loss receiving area, and calculating the effective reflecting surface of the mirror surface of the area through the number of points on the area surface to finally obtain the light condensation efficiency.
S32: extracting the coordinate values of the deformed four endpoints of the preset area by Ansys calculation, wherein
Three end points forming a plane N
1From the coordinates of the three end points, N can be derived
1Normal vector of plane
。
S24: extracting the wind pressure value of the mirror control point, selecting 4 extraction points in each wind load control area in order to reduce the error, and finally calculating the wind pressure value of the control point according to the wind pressure mean value of the 4 extraction points
,
Wherein
Corresponds to the first
The mirror is
Arrange first
And (4) a control point.
Passing the vector in step S34
Calculating the equation of the reflected ray
Calculating the number of points on the receiving region by calculating the light loss, and calculating the effective reflection area of the mirror surface in the region by point number
By the formula
Calculating the reflection area
By the formula
Calculating the light condensing efficiency, wherein
Is the area of the mirror surface in the region,
the total number of points in the area is,
to reflect the number of points of the light in the receiving area,
the light condensing efficiency. The plane formed by the three endpoints is used by calculating the mirror surface by partitioning and taking the deformation coordinates of the endpoints of the partitions as the calculation reference. The method avoids the artificial consideration of the mirror surface deformation into the curved surface bending deformation in the heliostat deformation represented by the integral node curved surface reconstructionAnd the defects that only the endpoint coordinates of each partition mirror surface are changed by wind load in the calculation process, and the partition mirror surface keeps the flatness in the calculation process.
The specific embodiments described herein are merely illustrative of the spirit of the invention. Various modifications or additions may be made to the described embodiments or alternatives may be employed by those skilled in the art without departing from the spirit or ambit of the invention as defined in the appended claims.