KR101848129B1 - An detecting area measuring method to calculate it's surface flow speed in use with electromagnetic waves - Google Patents

An detecting area measuring method to calculate it's surface flow speed in use with electromagnetic waves Download PDF

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KR101848129B1
KR101848129B1 KR1020150186700A KR20150186700A KR101848129B1 KR 101848129 B1 KR101848129 B1 KR 101848129B1 KR 1020150186700 A KR1020150186700 A KR 1020150186700A KR 20150186700 A KR20150186700 A KR 20150186700A KR 101848129 B1 KR101848129 B1 KR 101848129B1
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antenna
electromagnetic wave
quot
axis
flow velocity
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KR20170076954A (en
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김동수
김경동
김서준
손근수
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단국대학교 산학협력단
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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
    • G01P5/001—Full-field flow measurement, e.g. determining flow velocity and direction in a whole region at the same time, flow visualisation
    • G—PHYSICS
    • G01—MEASURING; TESTING
    • G01C—MEASURING DISTANCES, LEVELS OR BEARINGS; SURVEYING; NAVIGATION; GYROSCOPIC INSTRUMENTS; PHOTOGRAMMETRY OR VIDEOGRAMMETRY
    • G01C13/00—Surveying specially adapted to open water, e.g. sea, lake, river or canal
    • G01C13/002—Measuring the movement of open water
    • G01C13/006—Measuring the movement of open water horizontal movement

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Abstract

The present invention relates to a flow velocity measurement using an electromagnetic wave surface velocity meter, and more particularly, to a flow velocity measurement using an electromagnetic wave surface velocity meter by making it possible to present quantitative coordinates of measurement range in flow velocity measurement using an electromagnetic wave The present invention relates to a method of determining a flow velocity measurement range of an electromagnetic wave surface velocity meter capable of greatly improving the accuracy of measurement results of an electromagnetic wave surface velocity meter as well as improving the accuracy and convenience of an electromagnetic wave surface velocity meter, A method for measuring a velocity of a surface, comprising: a first step of calculating coordinates of respective vertexes of the antenna; A second step of calculating a direction vector of each electromagnetic wave from each of the vertexes toward the water surface; A third step of calculating an equation of a straight line in which each direction vector meets the water surface; Calculating an actual projection area of the electromagnetic wave generated from the antenna by using the projection vertex to calculate an actual projected area on the water surface by using the projection vertex, A fourth step of calculating; It is possible to present the spatial measurement range of the measurement result of the flow velocity of the electromagnetic wave surface velocity meter in terms of the actual coordinates to improve the convenience of the measurer and to improve the flow rate measurement result It is possible to greatly improve the reliability of the system.

Description

In this paper, we propose a method to measure the flow velocity of an electromagnetic wave surface velocity meter.

The present invention relates to a flow velocity measurement using an electromagnetic wave surface velocity meter, and more particularly, to a flow velocity measurement using an electromagnetic wave surface velocity meter by making it possible to present quantitative coordinates of measurement range in flow velocity measurement using an electromagnetic wave The present invention relates to a method of determining a flow velocity measurement range of an electromagnetic wave surface velocity meter capable of improving the accuracy and convenience of the electromagnetic wave surface velocity meter and the accuracy of the flow velocity measurement result of the electromagnetic wave surface velocity meter.

In order to efficiently plan the water resources policy, it is necessary to investigate the amount of water resources accurately. Therefore, various flow velocity measurement methods such as an anemometer and a rodfish are generally used for the river flow investigation. However, it is difficult to apply contact measurement method such as an anemometer due to the difficulty of field survey condition such as strong flow velocity and bad weather. Therefore, a noncontact flow measurement method that measures the surface velocity using image or electromagnetic waves can be a good alternative.

In particular, in the case of an electromagnetic wave surface velocity meter, the Korea Water Resources Corporation has developed a technique for indirectly measuring the flow rate of water (Korean Patent Registration No. 10-0204980 'Electromagnetic Wave Surface Velocity Meter')

An electromagnetic wave surface velocity meter is a device that generates an electromagnetic wave of a certain frequency and emits it to the water surface, then horizontally mounts an antenna block that receives the reflected electromagnetic wave and obtains the Doppler frequency, measures the angle formed by the emitted radio wave and the water surface And a signal processing and control unit for calculating and storing the flow rate using the Doppler frequency obtained from the antenna block and the display unit, thereby enabling the measurement of the surface velocity without contacting water.

However, due to the characteristics of the electromagnetic wave surface velocity meter, the flow velocity measurement range is determined according to the size of the electromagnetic wave transmitting / receiving antenna serving as the measurement sensor. That is, as shown in FIG. 1, the beam width of the antenna is related to the number of surface areas that collide when an electromagnetic wave is emitted to the water surface. For example, as the distance between the measurement position of the electromagnetic wave surface velocity meter and the water surface becomes farther away, the flow velocity measurement range becomes relatively large, and the closer the flow velocity measurement range becomes, the smaller the flow velocity measurement range becomes.

If the antenna of the electromagnetic wave surface velocity meter is to be measured at a desired point, it is generally measured after aiming the point through the target installed at the top of the antenna. However, since the electromagnetic measurement method is not a point measurement method, it is a measurement method. Therefore, it corresponds to the spatial average velocity within the water surface area which is encountered when the surface of the water hits the surface rather than the flow rate of the point actually aimed. Therefore, in the case of an electromagnetic wave surface velocity meter, it is difficult for the flow velocity meter to obtain the flow velocity at a desired point, and there is a limitation in measuring the area average flow velocity of a certain size including the aimed position.

It is also important to record the exact location of the measured flow velocity, although the flow velocity measurement accuracy of the electromagnetic wave surface velocity meter is also important in the investigation of stream velocity and flow rate. Therefore, it is very important to quantitatively provide the flow velocity measurement range of the electromagnetic wave surface velocity meter. Specifically, it is necessary to develop a technique for providing the coordinates of the flow velocity measurement area which hits the actual water surface in consideration of the antenna size, the beam width, the height between the antenna and the water surface of the electromagnetic wave surface velocity meter, and the angle of the antenna.

In the case of a conventional electromagnetic wave surface velocity meter, since it is a surface measurement method instead of a point measurement method in which a flow velocity is measured by looking at the water surface of a river at a bridge and a bank, electromagnetic waves emitted from the antenna of the electromagnetic wave surface velocity meter May vary depending on the measurement height and antenna angle. Especially, as the distance from the water surface to the antenna or the angle of the antenna in the horizontal direction is larger, the flow velocity measurement range of the electromagnetic surface velocity meter is inevitably increased. Therefore, the measurement range of the flow velocity of the electromagnetic wave surface velocity meter is limited depending on the position and the method of use of the measurer. In spite of these limitations, the measurement is performed by using a target in the equivalent part of the antenna to aim the point on the electromagnetic wave surface velocity meter. In fact, since the flow velocity measured by the electromagnetic wave surface velocity meter is not a flow velocity of a point to be aimed but a certain area including a point, it has a disadvantage that it is difficult to accurately express a flow velocity of a river. Especially, it is possible to include the flow measurement section when the flow rate of the stream is calculated by using the electromagnetic wave surface velocity meter, but there is a limitation that the flow rate of the actual line can not be presented because there is no method of confirming the measurement area. In addition, when the point of the stream side is aimed, the flow velocity measurement area may include the bank portion rather than the water surface, which is disadvantageous in decreasing the flow velocity measurement accuracy.

(Patent Document 1) JP1980-031970 A1

(Patent Document 2) US 2006-0262004 A1

In order to solve the difficulty in predicting the flow rate measurement range of a conventional electromagnetic wave surface velocity meter, the present invention has been made to solve the difficulty of predicting the flow rate measurement range of a conventional electromagnetic wave surface velocity meter by using the coordinates of the flow velocity measurement area considering the antenna size, beam width, height between the antenna and water surface, The present invention has been made to solve the above problems.

According to an aspect of the present invention, there is provided a method of measuring a flow velocity of a water surface using an electromagnetic wave surface velocity meter having an antenna, the method comprising: a first step of calculating coordinates of respective vertexes of the antenna; A second step of calculating a direction vector of each electromagnetic wave from each of the vertexes toward the water surface; A third step of calculating an equation of a straight line in which each direction vector meets the water surface; Calculating an actual projection area of the electromagnetic wave generated from the antenna by using the projection vertex to calculate an actual projected area on the water surface by using the projection vertex, The fourth step of calculating; A flow rate measurement range determination step of determining a flow velocity measurement range of an electromagnetic wave surface velocity meter including an electromagnetic wave surface velocity meter.

Meanwhile, the second step may include a Z-axis perpendicular to the water surface, an S-axis perpendicular to the Z-axis and a flow velocity direction, and an N-axis perpendicular to the S-axis and perpendicular to the S- A virtual line connecting the vertexes of the antenna with the Z axis and an imaginary line connecting any two vertexes of each of the vertices of the antenna and the S axis are formed And a beam width angle? Formed by the imaginary line connecting the point where one of the respective vertexes of the antenna is projected onto the water surface and the Z axis is considered in consideration of at least one of the angle? A flow velocity measurement range of the electromagnetic wave surface velocity meter can be determined.

If the antenna has four vertices A, B, C and D, h is the height from the surface of the water to the center of the bottom of the antenna, e is the transverse length of the antenna, , And f is the longitudinal length of the antenna, each of the vertex coordinates of the antenna is derived by Equation (1)

[Equation 1]

Figure 112015127137483-pat00001

It is possible to provide a method for determining the flow velocity measurement range of an electromagnetic wave surface velocity meter.

In the case where the antenna has four vertices A, B, C and D, h is a height from the water surface to the center of the bottom of the antenna, f is a length in the longitudinal direction of the antenna Where X = e / 2, Y = sin?, And V = cos?, Q = sin ?, W = cos ?, each of the vertex coordinates of the antenna is derived by Equation ,

&Quot; (2) "

Figure 112015127137483-pat00002

And a method of determining the flow velocity measurement range of the electromagnetic wave surface velocity meter.

A 'represents a point where A is actually projected on the water surface, B' represents a point where B is actually projected on the water surface, A point at which C is actually projected on the water surface is C 'and a point at which D is actually projected on the water surface is D', and the midpoint between A and B and the midpoint between A 'and B' If an imaginary line and an angle obtained by connecting virtual lines connecting the midpoints of A and B and the coordinate points derived by Equation (3)

&Quot; (3) "

Figure 112015127137483-pat00003

The direction vector of the second step is derived by the following equation (4)

&Quot; (4) "

Figure 112015127137483-pat00004

At this time,

Figure 112015127137483-pat00005
_ = (0, cos?, - sin?),
Figure 112015127137483-pat00006
= (tan beta, 0, 0), and
Figure 112015127137483-pat00007
Axis, the S-axis, and the Z-axis component of the direction vector are derived as a matrix using the following equation (5): " (0, tan? Sin ?,? Tan? Cos ??) And,

&Quot; (5) "

Figure 112015127137483-pat00008

The N axis, the S axis, and the Z axis component of the direction vector are respectively derived as a matrix by the following equation (6), where Y = sin? , V = cos?, Q = sin ?, W = cos?

The following equations (6) and (7) are calculated using the N-axis component of the direction vector of the straight line, the m-axis component of the direction vector of the straight line, and the n-axis component of the direction vector of the straight line To the following equation (8) to derive the following equation (9) and further use the following equation (10)

&Quot; (6) "

Figure 112015127137483-pat00009

&Quot; (7) "

Figure 112015127137483-pat00010

&Quot; (8) "

Figure 112015127137483-pat00011

&Quot; (9) "

Figure 112015127137483-pat00012

&Quot; (10) "

Figure 112015127137483-pat00013

In this case, the N axis coordinates of the A ', B', C ', and D' are N A ' , N B' , N C ' , and N D' , and S A ' and S C' ', And B', which are derived from the S-axis coordinate of the electromagnetic wave surface velocity meter.

According to the present invention as described above, the following effects can be obtained.

First, since the spatial measurement range of the measurement result of the flow velocity of the electromagnetic wave surface velocity meter can be presented as the actual coordinates, not only the convenience of the measurer can be improved, but also the reliability of the flow rate measurement result is greatly improved.

Second, since the measurement range of the flow velocity of the electromagnetic wave surface velocity meter can be expressed by the actual coordinates, it is possible to determine the accurate flow rate measurement line in the flow rate measurement using the electromagnetic wave surface velocity meter, thereby greatly improving the flow rate calculation accuracy.

1 is a configuration diagram of an electromagnetic wave surface velocity meter.
2 is a diagram showing an example of flow velocity measurement of an electromagnetic wave surface velocity meter.
3 is an example of a flow velocity measuring range of an electromagnetic wave surface velocity meter.
Fig. 4 is a flow chart for determining the flow velocity range of the electromagnetic wave surface velocity meter.
Fig. 5 is an illustration of an NZ plane flow velocity measurement range of an electromagnetic wave surface velocity meter.
Fig. 6 is an illustration of an SZ plane flow velocity measurement range of an electromagnetic wave surface velocity meter. Fig.
7 is a diagram illustrating a direction vector in consideration of beam spreading of an electromagnetic wave surface velocity meter.
FIG. 8 is a schematic diagram of a direction vector estimation considering beam spreading in the NZ plane and the SZ plane.
Figure 9 is a side view of Figure 2;

Hereinafter, the present invention will be described in detail with reference to the accompanying drawings.

In this process, the thicknesses of the lines and the sizes of the components shown in the drawings may be exaggerated for clarity and convenience of explanation. In addition, the terms described below are defined in consideration of the functions of the present invention, which may vary depending on the intention or custom of the user, the operator. Therefore, the definitions of these terms should be described based on the contents throughout this specification.

In order to quantitatively predict the flow velocity range in the flow velocity measurement using an electromagnetic wave surface velocity meter, the present invention considers the antenna size, the beam width, the height between the antenna and the water surface, and the vertical and horizontal angles of the antenna Find the area of the water surface where the electromagnetic waves hit and determine the four corner coordinates of the trapezoidal shape.

The method of determining the flow velocity measurement range of the electromagnetic wave surface velocity meter of the present invention can be roughly classified as follows: 1) calculating the four-point coordinate of the antenna, 2) calculating the actual velocity measurement range of the water surface considering the direction vector calculation and beam width of the antenna four- And includes an actual coordinate calculation step in the numerical surface of the spatial average flow velocity measurement range of the electromagnetic wave surface velocity meter.

More specifically, the method of determining the flow velocity measurement range of the electromagnetic wave surface velocity meter according to the preferred embodiment of the present invention is as follows.

In a method of measuring a flow velocity of a water surface using an electromagnetic wave surface velocity meter having an antenna, first, a first step of estimating coordinates of respective vertexes of the antenna is performed.

 And a second step of calculating a direction vector of each electromagnetic wave from each of the vertexes toward the surface of the water.

 And a third step of calculating an equation of each straight line in which each direction vector meets the surface of the water.

 A fourth step of estimating each projection vertex projected from each vertex of the antenna through a straight line equation and finally estimating an actual projected area of the electromagnetic wave generated from the antenna using the projection vertex, It goes through.

On the other hand, in the second step, the Z-axis perpendicular to the water surface, the S-axis perpendicular to the Z-axis and the flow velocity direction, and the N-axis perpendicular to the S-axis and the Z- The angle formed by the imaginary line connecting the vertexes with the Z axis and the imaginary line connecting the arbitrary two vertexes of each of the vertexes of the antenna and the S axis, And a beam width angle? Formed by a virtual line connecting a point projected on the surface of the water and a Z-axis, may be calculated.

As shown in FIG. 1, the electromagnetic wave surface velocity meter includes an antenna 1 for transmitting and receiving electromagnetic waves and processing the electromagnetic wave, and a tripod 2 capable of adjusting the height. The distance between the water surface and the antenna is the height from the water surface to the bridge plus the height of the tripod.

As shown in Fig. 2, the antenna of the electromagnetic wave surface velocity meter generally measures the surface velocity of the river by looking at the flow direction of the river in the bridge. At this time, since the antenna is inclined by the angle? With respect to the vertical axis so as to face the river, the antenna has an inclination of an angle? Between the water surface and the antenna. Further, it is also possible to measure the flow velocity by rotating the electromagnetic wave surface velocity meter at right angles to the left and right, rather than perpendicularly to the water surface. Therefore, in order to determine the measurement range of the flow velocity of the electromagnetic wave surface velocity meter, the vertical angle (?) Of the antenna and the lateral deviation angle (?) Of the antenna should be considered.

As shown in FIG. 3, in the measurement of the flow velocity using the electromagnetic wave surface velocity meter, as the inclination of the surface of the antenna and the water surface occurs, the flow rate measurement region of the electromagnetic wave surface velocity meter causes distances or distances between near and distant. In this way, compared to the distance of the electromagnetic waves emitted from the two corner points of the upper end portion of the antenna according to the vertical angle (?) Of the antenna, the electromagnetic waves emitted from the two corners of the lower portion of the antenna reach the electromagnetic wave generating region. Therefore, the actual water surface measurement area of the electromagnetic wave surface velocity meter has a trapezoidal shape. In order to determine this, it is necessary to set the coordinates of the antenna preferentially.

In order to determine the flow velocity measurement range of the electromagnetic wave surface velocity meter of the present invention, the actual point coordinates of the antenna are determined as shown in FIG. 4, the electromagnetic wave direction vector of the antenna angle point considering the beam width as the characteristic of the electromagnetic wave is determined, And the flow velocity measurement range of the electromagnetic wave surface velocity meter projected on the water surface is determined.

The measurement range of the flow velocity of electromagnetic wave surface velocity is calculated from the four corners A, B, C, and D of the antenna by considering the beam width, the vertical angle and the horizontal angle, and a linear equation Can be calculated. Therefore, we can obtain the coordinates of the four vertexes A ', B', C ', and D' of the area projected on the water surface from the vector reaching the water surface at four corners of the antenna.

As shown in FIG. 4, when the four corners of the antenna are A, B, C, and D, the component in the three-dimensional space of the four corner points of the antenna with respect to the water surface is expressed by Equation (1). Also, if the A, B, C, and D coordinates of the antenna are rotated by the horizontal deviation angle (?) With respect to the Z axis, Equation (2) is obtained.

[Equation 1]

Figure 112015127137483-pat00014

Where h is the height from the water surface to the center of the bottom of the antenna, e is the transverse length of the antenna, f is the longitudinal length of the antenna, α is a vertical angle with respect to the vertical axis of the antenna.

&Quot; (2) "

Figure 112015127137483-pat00015

Here, X = e / 2, Y = sin ?, V = cos ?, Q = sin ?, W = cos?.

As shown in FIG. 5, the electromagnetic wave emitted from the four corners of the antenna is horizontally widened by the horizontal beam width? To meet the water surface, and the water surface is widened by the vertical beam width? In the flow direction as shown in FIG. Accordingly, in determining the flow velocity measurement range of the electromagnetic wave surface velocity meter on the water surface, the four corner coordinates A ', B', C ', and D' of the flow velocity measurement range are determined in consideration of the horizontal beam width.

As shown in FIG. 7, the electromagnetic waves emitted through the antenna have a direction vector of the electromagnetic wave directed to the water surface from the four vertexes A, B, C, and D of the antenna in consideration of the horizontal beam width β and the vertical beam width γ

Figure 112015127137483-pat00016
, The direction vector is expressed by the following equation (3)
Figure 112015127137483-pat00017
.

On the other hand, when the antenna has four vertices A, B, C, and D, A 'is the point actually projected on the water surface, B' is the point actually projected on the water surface, The actual projected point is called C ', and the point actually projected on the water surface is called D'.

The imaginary line connecting the midpoints of A and B and the imaginary line connecting the midpoints of A 'and B', and the imaginary line joining the imaginary line connecting the midpoints of A and B to the coordinate points derived by Equation (3) are γ.

&Quot; (3) "

Figure 112015127137483-pat00018

The direction vector of the second stage is derived by the following equation (4).

&Quot; (4) "

Figure 112015127137483-pat00019

8 and 9

Figure 112015127137483-pat00020
(0, cos ?, -sin?), (Tan ?, 0, 0), and (0, tan? Sin ?,? Tan? Cos ??), respectively. Therefore, the direction vector
Figure 112015127137483-pat00021
Can be represented by the following equation (5) as a matrix. Also,
Figure 112015127137483-pat00022
Is rotated in the clockwise direction by? On the z-axis (declination angle), the component of the direction vector at the antenna vertex is expressed by Equation (5).

&Quot; (5) "

Figure 112015127137483-pat00023

Here, Y = sin ?, V = cos ?, Q = sin ?, W = cos?.

&Quot; (6) "

Figure 112015127137483-pat00024

Here, F = tan? And G = tan ?.

The four vertices A ', B', C ', and D' projected on the surface of the water are obtained by using the intersection of the straight line and the water surface plane. (N1, S1, Z1) in a three-dimensional spatial coordinate system,

Figure 112015127137483-pat00025
Equation (6) and Equation (7) can be expressed as Equation (8) and Equation (7) by using Equation (8) of a straight line having an angle? . This is expressed by Equation (9).

&Quot; (7) "

Figure 112015127137483-pat00026

&Quot; (8) "

Figure 112015127137483-pat00027

Where N, S, and Z are coordinates of an arbitrary point that satisfies the equation of the straight line, and l, m, and n are N, S, and Z1 of the direction vector of the straight line, , And Z components.

&Quot; (9) "

Figure 112015127137483-pat00028

Here, subscripts A, B, C, and D are values derived from four vertexes A, B, C, and D, respectively.

If the horizontal and vertical lengths of the projected area are ln and ls, respectively, when the electromagnetic wave is projected on the surface of the water and the center of the area is the point of sight of the electromagnetic wave surface velocity meter, ls is the S axis coordinate of A 'or B' Can be expressed as a value obtained by subtracting the S-axis coordinate of C 'or D', and ln can be expressed as the average of the length of the side connecting A'B 'and the length of the side connecting C'D'.

&Quot; (10) "

Figure 112015127137483-pat00029

Here, S A 'and S C' are S-axis coordinates of points A 'and B', and N A ', N B' , N C ' and N D' are A ', B', C ''Is the N-axis coordinate of the point.

It will be understood by those skilled in the art that various changes in form and details may be made therein without departing from the spirit and scope of the present invention as defined by the following claims It can be understood that it is possible.

1: antenna
2: Tripod
A, B, C, D: The actual vertex of the antenna
A ', B', C ', and D'
α: Vertical angle of antenna
β: beam width angle
ω: lateral deviation angle of the antenna

Claims (5)

A method for measuring a flow velocity of a water surface using an electromagnetic wave surface velocity meter having an antenna,
A first step of calculating respective vertex coordinates of the antenna;
A second step of calculating a direction vector of each electromagnetic wave from each of the vertexes toward the water surface;
A third step of calculating an equation of a straight line in which each direction vector meets the water surface;
Calculating an actual projection area of the electromagnetic wave generated from the antenna by using the projection vertex to calculate an actual projected area on the water surface by using the projection vertex, The fourth step of calculating; / RTI >
Determination Method of River Flow Velocity Measurement Range of Electromagnetic Wave Surface Velocity.
The method according to claim 1,
The second step comprises:
A Z axis perpendicular to the water surface, an S axis perpendicular to the Z axis and a direction of the flow velocity, and an N axis perpendicular to the S axis and the Z axis and perpendicular to the S axis,
A vertical angle (?) Of an antenna formed by connecting the vertexes of the antenna to the Z-axis,
(?) Of an antenna formed by a hypothetical line connecting arbitrary two points of each of the vertexes of the antenna and the S-axis,
And a beam width angle (?) Formed by a virtual line connecting one of the vertexes of each of the antennas projected onto the male surface and the Z-axis,
Determination Method of River Flow Velocity Measurement Range of Electromagnetic Wave Surface Velocity.
3. The method of claim 2,
If the antenna has four vertices A, B, C, and D,
Where h is the height from the water surface to the center of the bottom of the antenna, e is the transverse length of the antenna, and f is the longitudinal length of the antenna,
Wherein each of the coordinates of the vertex of the antenna is derived by Equation (1)
[Equation 1]
Figure 112015127137483-pat00030

Determination Method of River Flow Velocity Measurement Range of Electromagnetic Wave Surface Velocity.
3. The method of claim 2,
If the antenna has four vertices A, B, C, and D,
Where h is the height from the water surface to the center of the bottom of the antenna, f is the longitudinal length of the antenna, X = e / 2, Y = sin alpha, V = cos alpha , Q = sin?, And W = cos?
Wherein each of the vertex coordinates of the antenna is derived by Equation (2)
&Quot; (2) "
Figure 112015127137483-pat00031

Determination Method of River Flow Velocity Measurement Range of Electromagnetic Wave Surface Velocity.
3. The method of claim 2,
A 'denotes a point where A is actually projected on the numerical surface, B' denotes a point where B is actually projected on the numerical surface, and C ' A point where D is actually projected on the numerical surface is defined as D ', and a point on which A and B are centered and a point on which A' and B ' And an imaginary line connecting the center point of A and the center point of B and the coordinate point derived by the following equation (3)
&Quot; (3) "
Figure 112018013790452-pat00032

H is the height from the water surface to the midpoint of A and B,
The direction vector of the second step is derived by the following equation (4)
&Quot; (4) "
Figure 112018013790452-pat00033

At this time,
Figure 112018013790452-pat00034
_ = (0, cos?, - sin?),
Figure 112018013790452-pat00035
= (tan beta, 0, 0), and
Figure 112018013790452-pat00036
= (0, tan? Sin?,? Tan? Cos?),
The N axis, the S axis, and the Z axis component of the direction vector are derived as a matrix by the following equation (5) when the right and left angle declination angle? Of the antenna is 0,
&Quot; (5) "
Figure 112018013790452-pat00037

The N axis, the S axis, and the Z axis component of the direction vector are respectively derived as a matrix by the following equation (6), where Y = sin? , V = cos?, Q = sin ?, W = cos?
The following equations (6) and (7) are calculated using the N-axis component of the direction vector of the straight line, the m-axis component of the direction vector of the straight line, and the n-axis component of the direction vector of the straight line To the following equation (8) to derive the following equation (9) and further use the following equation (10)
&Quot; (6) "
Figure 112018013790452-pat00038

&Quot; (7) "
Figure 112018013790452-pat00039

&Quot; (8) "
Figure 112018013790452-pat00040

&Quot; (9) "
Figure 112018013790452-pat00041

&Quot; (10) "
Figure 112018013790452-pat00042


In this case, the N axis coordinates of the A ', B', C ', and D' are N A ' , N B' , N C ' , and N D' , and S A ' and S C' ', And B'
Determination Method of River Flow Velocity Measurement Range of Electromagnetic Wave Surface Velocity.
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KR102476534B1 (en) 2022-03-16 2022-12-09 재단법인 한국수자원조사기술원 Mounting device capable of automatic control of positioning of a mobile surface current meter

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* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
KR102476534B1 (en) 2022-03-16 2022-12-09 재단법인 한국수자원조사기술원 Mounting device capable of automatic control of positioning of a mobile surface current meter

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