CN110119563B - Radial gate opening degree calculation method - Google Patents

Abstract

A radial gate opening degree calculation method comprises the following steps: step S1: the length of the lifting rope is the radius R by taking the fulcrum as the center₂Make a circle O₂(ii) a Step S2: with the support hinge as the center and the length of the support arm as the radius R₁Make a circle O₁: step S3: taking the support hinge as an origin, and taking a coordinate to establish a plane rectangular coordinate system Oxy; step S4: the center coordinates of O1 are (0, 0), and the center coordinates of O2 are (x)₀，y₀)，x₀Horizontal distance of the fulcrum to the support hinge, y₀Is the vertical distance from the fulcrum to the supporting hinge; step S5: circles O1 and O2 intersect at two points p and q, wherein the position of the point p is a lifting point; step S6: setting the angle value of the point p on a circle O1 as alpha and the angle value of the point p as beta; step S7: setting the distance from the support hinge to the point s at the bottom of the arc-shaped door leaf as R3; step S8: r₁、R₂、R₃、x₀、y₀Can be obtained by measuring with a tape measure; step S9: and calculating the coordinate value of the s point. The invention adopts real-time, rapid, accurate and convenient calculation of data, and reduces the difficulty of data measurement as much as possible.

Description

Radial gate opening degree calculation method

Technical Field

The invention relates to a calculation method for the opening degree of a flood discharge gate of a hydroelectric power plant, in particular to a calculation method for the opening degree of an arc gate.

Background

The calculation method of the radial gate opening degree generally includes two methods, one method is to adopt segmented broken lines (the number of the broken line segments is different according to different gate opening degree settings), for example, the common opening degree meter matched with an encoder calculates the gate opening degree by using 15 broken lines, each broken line is used for calculating the gate opening degree by using a straight line fitting method, a precise professional measuring instrument is required to measure the inflection point value of each broken line, the data required to be measured is more, the gate needs to be sequentially lifted to each set inflection point of the broken line, the measurement and the operation are troublesome, the algorithm precision is not high enough, and data jumping may occur at the inflection point of the broken line.

The other method is to calculate the gate opening in real time by adopting a formula, and the existing gate opening calculation utilizes the method for measuring the angle value to calculate the opening value.

Disclosure of Invention

In order to solve the problems in the prior art, the arc gate opening degree calculation method is real-time, rapid, accurate and convenient, and the measurement difficulty of relevant necessary data in the debugging process is reduced as much as possible.

In order to realize the purpose of the invention, the invention adopts the following technical scheme:

the radial gate opening calculation method comprises the steps that the radial gate comprises a radial gate leaf, an upper support arm, a lower support arm and a lifting rope, wherein the upper support arm and the lower support arm are connected to form the support arm;

the calculation method of the opening degree of the radial gate comprises the following steps:

step S1: the length of the lifting rope is the radius R by taking the fulcrum as the center₂Make a circle O₂；

Step S2: with the support hinge as the center and the length of the support arm as the radius R₁Make a circle O₁：

Step S3: taking the support hinge as an origin, and taking a coordinate to establish a plane rectangular coordinate system Oxy;

step S4: the center coordinates of O1 are (0, 0), and the center coordinates of O2 are (x)₀，y₀)，x₀Horizontal distance of the fulcrum to the support hinge, y₀Is the vertical distance from the fulcrum to the supporting hinge;

step S5: circles O1 and O2 intersect at two points p and q, wherein the position of the point p is a lifting point;

step S6: setting the angle value of the point p on a circle O1 as alpha and the angle value of the point p as beta;

step S7: setting the distance from the support hinge to the point s at the bottom of the arc-shaped door leaf as R3;

step S8: r₁、R₂、R₃、x₀、y₀Can be obtained by measuring with a tape measure;

step S9: and calculating the coordinate value of the s point.

The s-point coordinate evaluation step is as follows:

s91: simultaneous O1 and O2 circular equations

S92: solving the equation to obtain two x values, wherein the smaller x value is a p point, and the coordinates of the p point are (x1, y 1);

s93: substituting the coordinate of the point p into an O1 circular equation to obtain an alpha value;

s94: measuring the distance between the p point and the t point, recording the distance as d, regarding d as an arc value from the p point to the t point on an O1 circle approximately, and solving a beta angle value;

s95: an angle value theta of a circle with a radius R3 on which the point s is positioned can be obtained according to the angle values of alpha and beta, namely the angle value theta is alpha + beta;

s96: according to the obtained theta, the coordinate (x) of s is obtained_s，y_s) Wherein y is_sNamely the opening value;

s97: finally, will y_sCalibrated to actual values, e.g. y, currently calculated_sAnd if the actual opening degree is-3 and 0, the value of y +3 is the actual opening degree value.

In said S92: according to the root-finding formula

The coordinates of the point p are:

in said S93: substituting the p point coordinates into the O1 circular equation, the O1 circular equation is as follows:

thus:

or

In said S94:

in said S96:

drawings

FIG. 1 is a structural view of a radial gate of the present invention;

FIG. 2 is a simplified diagram of the structure of FIG. 1;

FIG. 3 is a schematic view of a method for calculating the opening of the radial gate according to the present invention;

wherein:

1. an arc-shaped door leaf; 2. an upper support arm; 3. a lower support arm; 4. supporting hinges; 5. a lifting rope; 6. a fulcrum; 7. And (4) hoisting points.

Detailed Description

To facilitate an understanding of the invention, the invention will now be described more fully with reference to the accompanying drawings. Preferred embodiments of the invention are shown in the drawings. The invention may, however, be embodied in many different forms and should not be construed as limited to the embodiments set forth herein. Rather, these embodiments are provided so that this disclosure will be thorough and complete.

It will be understood that when an element is referred to as being "secured to" another element, it can be directly on the other element or intervening elements may also be present. When an element is referred to as being "coupled" to another element, it can be directly coupled to the other element or intervening elements may also be present.

For convenience of description, the terms "left", "right", "up" and "down" used hereinafter are the same as the left, right, up and down directions of the drawings themselves, but do not limit the structure of the invention.

As shown in fig. 1 to 2, a method for calculating the opening degree of a radial gate, the radial gate comprises a radial gate leaf 1, an upper support arm 2, a lower support arm 3 and a lifting rope 5, the upper support arm 1 and the lower support arm 2 are connected to form a support arm, one end of the support arm is fixedly connected with the radial gate leaf 1, the other end of the support arm is hinged with a support hinge 4, the lifting rope 5 is connected with a lifting point 7 on the radial gate leaf 1 by bypassing a fulcrum 6, and the height s of the bottom of the radial gate leaf 1 from the ground is an opening value;

the radial gate realizes the opening degree of the gate by pulling up the gate radial gate leaf 1 through the lifting rope 5, so the opening degree value of the gate is directly determined by the length of the lifting rope 5, and the length of the lifting rope 5 can be obtained through the numerical value conversion of the encoder. In the present invention, the relationship between the length of the lifting rope and the opening degree will be described from another angle, which is specifically as follows:

as shown in fig. 3, the calculation method of the radial gate opening degree includes the steps of:

step S1: the length of the lifting rope is the radius R by taking the fulcrum as the center₂Make a circle O₂；

Step S2: with the support hinge as the center and the length of the support arm as the radius R₁Make a circle O₁：

Step S3: taking the support hinge as an origin, and taking a coordinate to establish a plane rectangular coordinate system Oxy;

step S4: the center coordinates of O1 are (0, 0), and the center coordinates of O2 are (x)₀，y₀)，x₀Is the horizontal distance y from the fulcrum to the support hinge₀Is the vertical distance from the fulcrum to the supporting hinge;

step S5: circles O1 and O2 intersect at two points p and q, wherein the position of the point p is a lifting point;

step S6: setting the angle value of the point p on a circle O1 as alpha and the angle value of the point p as beta;

step S7: setting the distance from the support hinge to the point s at the bottom of the arc-shaped door leaf as R3;

step S8: r₁、R₂、R₃、x₀、y₀Can be obtained by measuring with a tape measure;

step S9: and calculating the coordinate value of the s point.

The evaluation step of the s point coordinate is as follows:

s91: simultaneous O1 and O2 circular equations

Circular equation O1-O2, given by: 2x₀x-x₀ ²+2yy₀-y₀ ²＝R₁ ²-R₂ ²

And (3) after simplification:

order to

When y is equal to A-Bx

Substituting the above equation into the equation of circle O1 yields: (1+ B)²)x²-2ABx+A²-R₁ ²＝0

The discriminant: Δ ═ (-2AB)²-4(1+B²)(A²-R₁ ²)

S92: according to the root-finding formula

Get an orderThe coordinates are:

solving the equation to obtain two x values, wherein the smaller x value is p point, and the coordinates of the p point are recorded as (x1, y 1).

S93: substituting the p point coordinates into the O1 circular equation, the O1 circular equation is as follows:

thus:

or

S94: the distance between the point p and the point t is measured and is recorded as d. The d approximation is regarded as the arc value from the point p to the point t on the O1 circle, and the angle beta is calculated.

S95: from the angle values α and β, the value of the angle (denoted θ) on the circle with radius R3 on which point s is located can be derived, i.e., θ ═ α + β.

S96: according to the obtained theta, the coordinate (x) of s is obtained_s，y_s) Wherein y is_sI.e. the opening value.

S97: finally, will y_sCalibrated to actual values, e.g. y, currently calculated_sIs-3, the actual opening is 0, then y is_s+3 is the actual opening value.

The calculation method of the invention combines the characteristics of a computer, avoids the calculation of the trigonometric function as much as possible, reduces the calculation amount of the floating point number, not only accelerates the calculation process, but also has higher precision of the calculation result.

The examples merely represent several embodiments of the invention, which are described in more detail and detail, but are not to be construed as limiting the scope of the invention. It should be noted that, for a person skilled in the art, several variations and modifications can be made without departing from the inventive concept, which falls within the scope of the invention. Therefore, the protection scope of the invention patent should be subject to the appended claims.

Claims (1)

1. The calculation method of the opening degree of the radial gate is characterized in that the radial gate comprises a radial gate leaf, an upper support arm, a lower support arm and a lifting rope, wherein the upper support arm and the lower support arm are connected to form the support arm;

the calculation method of the opening degree of the radial gate comprises the following steps:

step S1: the length of the lifting rope is the radius R by taking the fulcrum as the center₂Make a circle O₂；

Step S2: with the support hinge as the center and the length of the support arm as the radius R₁Make a circle O₁；

Step S3: establishing a plane rectangular coordinate system O by taking the support hinge as an origin as a coordinate_xy；

Step S4: o is₁The coordinates of the center of the circle are (0, 0), and O is set₂The coordinate of the circle center is (x)₀，y₀)，x₀Is a supportHorizontal distance of the point to the support hinge, y₀Is the vertical distance from the fulcrum to the supporting hinge;

step S5: circle O₁And O₂Intersecting with two points p and q, wherein the position of the point p is a lifting point;

step S6: let point p be on circle O₁The angle value of the upper angle is alpha, and the angle value of the angle pos is beta;

step S7: the distance from the support hinge to the s point at the bottom of the arc-shaped door leaf is set as R₃；

Step S8: r₁、R₂、R₃、x₀、y₀Can be obtained by measuring with a tape measure;

step S9: solving the coordinate value of the s point;

the s-point coordinate evaluation step is as follows:

s91: simultaneous O₁And O₂Equation of a circle

S92: solving the equation into two x values, wherein the smaller x value is p point, and the coordinate of the p point is recorded as (x)₁，y₁)；

S93: substituting the coordinates of the point p into O₁Solving an alpha value by using a circular equation;

s94: measuring the distance between the p point and the t point, recording the distance as d, and regarding d as O approximately₁The radian value from a point p to a point t on the circle, and a beta angle value is calculated;

s95: according to the angle values of alpha and beta, the radius of the point s is R₃The angle value θ on the circle of (a), i.e. θ ═ α + β;

s96: according to the obtained theta, the coordinate (x) of s is obtained_s，y_s) Wherein y is_sNamely the opening value;

s97: finally, will y_sCalibrated to actual values, e.g. y, currently calculated_sIs-3, the actual opening is 0, then y is_s+3 is the actual opening value;

in said S91:

simultaneous O₁And O₂The equation of a circle yields: 2x₀x-x₀ ²+2yy₀-y₀ ²＝R₁ ²-R₂ ²；

And (3) after simplification:

order to

When y is A-Bx;

substituting the above equation into the equation of circle O1 yields: (1+ B)²)x²-2ABx+A²-R₁ ²＝0；

In said S92: according to the root-finding formula

The coordinates of the point p are:

in said S93: substituting the coordinates of the point p into O₁Equation of a circle, O₁The equation for a circle is as follows:

thus:

or

In said S94:

in said S96:

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