A hydraulic hoist arc door opening degree measuring method

Abstract

The application provides a hydraulic hoist gate opening measurement method, which comprises the following steps: calculating the top angle ∠FAC; calculating the oil cylinder stroke AF, F point being the real-time position of the connecting point of the piston rod and the gate; calculating the angle ∠ACF of triangle △ACF; calculating the gate lifting angle ∠ICG, D point representing the position of the connecting point of the piston rod and the gate when the gate runs to the zero position, G representing the zero position coordinate of the gate, and I representing the current position of the bottom of the gate running to the arc; calculating the length of the bottom side IG of triangle △ICG and the angle ∠IGC; calculating the angle ∠CGM of right triangle △CGM, M representing the vertical intersection point of the center of the gate and the sill of the gate; and calculating the angle ∠IGK of right triangle △IKG, so as to obtain the gate opening. The method installs the angle measurement device on the piston rod base of the hydraulic hoist gate, and when the gate runs, the left and right movement angles of the piston rod are measured, and the calculation is used to realize the gate opening measurement method.

Description

TECHNICAL FIELD

[0001] The present application relates to the technical field of arc gate opening measurement, and particularly relates to a hydraulic hoist arc gate opening measurement method. BACKGROUND

[0002] At present, the flood discharge of large hydropower stations is carried out through the opening and closing of hydraulic hoist arc gates. In the opening and closing process, the opening measurement of the arc gate is generally carried out by two methods.

[0003] One is to measure by a pull rope type displacement detection opening instrument. The working principle of the device is mainly that the arc gate drives the steel wire rope of the opening instrument to rotate synchronously in the opening and closing operation, the encoder converts the displacement signal into an electric signal, and the displacement value is displayed after processing, so as to realize real-time measurement of the opening of the arc gate.

[0004] The other is to install an angle type sensor on the arc gate support arm, and calculate the opening of the arc gate by measuring the angle change of the support arm during the operation of the arc gate.

[0005] Since the pull rope type displacement detection opening instrument must be bound with the steel wire rope on the arc gate, and the opening instrument is prone to problems such as device jamming, steel wire rope filaments, and spring fatigue. The angle type sensor needs to be installed on the arc gate support arm, and the maintenance personnel need to go down to the arc gate for installation and maintenance, which has certain danger and difficulty.

[0006] Since the pull rope type displacement detection opening instrument must be bound with the steel wire rope on the arc gate, and the angle type sensor needs to be installed on the arc gate support arm, the maintenance personnel need to go down to the arc gate for installation and maintenance, which has certain danger and difficulty. SUMMARY

[0007] The technical problem to be solved by the present application is to provide a hydraulic hoist arc gate opening measurement method. The angle measurement device is installed on the hydraulic hoist arc gate piston rod base, the piston rod is extended up and down to drive the arc gate to operate, and since the arc gate operates in an arc line, the piston rod will have an angle change in left and right movement during the up and down extension. By measuring the angle change, the opening measurement method of the arc gate is realized by calculation.

[0008] To solve the above technical problems, the technical scheme adopted by the present application is as follows: a hydraulic hoist arc gate opening measurement method, comprising the following steps:

[0009] Step one, calculating the top angle ∠FAC, wherein A represents the center point of the piston rod base, C represents the center of the arc gate, and F represents a certain point position below the tangent point of the arc line.

[0010] Step two, calculating the cylinder stroke AF, and F point is the real-time position of the connection point of the piston rod and the arc gate.

[0011] Step three, find the angle ∠ACF of triangle △ACF;

[0012] Step four, calculate the angle ∠ICG of the arc door, D represents the position of the connecting point of the piston rod and the arc door when the arc door runs to the zero position, G represents the zero coordinate of the arc door, and I represents the current position of the bottom of the arc door running to the arc line;

[0013] Step five, calculate the length of the base IG of triangle △ICG and the angle ∠IGC;

[0014] Step six, calculate the angle ∠CGM of right triangle △CGM, M represents the vertical intersection point of the center of the arc door and the sill of the arc door;

[0015] Step seven, calculate the angle ∠IGK of right triangle △IKG, thereby obtaining the opening of the arc door, K represents the vertical point between the bottom I of the arc door and the sill of the arc door after the bottom of the arc door runs to I.

[0016] In the preferred scheme, in step one, the calculation process of ∠FAC is as follows:

[0017] The lengths of the three sides AC, CD, and AD of triangle ACD are determined by the following formulas:

[0018] In right triangle △ABC, according to the Pythagorean theorem, we have:

[0019] AC

[0020] CD = CF = CF1 = R0;

[0021] CE = C.y - D.y;

[0022] AB = C.x - A.x;

[0023]

[0024] DH = DE - HE = DE - AB;

[0025] AH = A.y - D.y;

[0026]

[0027] Therefore, the angles ∠DAC and ∠ACD of triangle ACD can be calculated:

[0028] ∠DAC = acos((AD 2 + AC 2 - CD 2 ) / (2 × AD × AC))

[0029] ∠ACD = acos((AC2 + CD 2 - AD 2 ) / (2 x AC x CD)

[0030] then ∠FAC = ∠DAC + ∠DAF

[0031] In the above formula, C.x and C.y represent the horizontal and vertical coordinates of point C, A.x and A.y represent the horizontal and vertical coordinates of point A, D.y represents the vertical coordinate of point D, CD represents the distance between points C and D, CF represents the distance between points C and F, CE represents the distance between points C and E, AB represents the distance between points A and B, DE represents the distance between points D and E, DH represents the distance between points D and H, HE represents the distance between points H and E, AH represents the distance between points A and H, AD represents the distance between points A and D, ∠DAF is the angle offset value of the piston rod, which is directly measured, E represents the intersection point of the vertical line of point C and the horizontal extension line of point D, CE is perpendicular to DE, B represents the intersection point of the horizontal extension line of point A and the vertical line of point C, AB is perpendicular to CB, H represents the vertical intersection point of point A to DE line, AH is perpendicular to DE.

[0032] In a preferred embodiment, in step two, the calculation formula of the cylinder stroke AF is as follows:

[0033] According to the cosine theorem formula, in triangle AFC, given two sides AC and CF and ∠FAC, the third side AF is calculated as follows:

[0034] CF 2 = AF 2 + AC 2 - 2 x AF x AC x cos(∠FAC)

[0035] AF 2 + AC 2 - CF 2 - 2 x AF x AC x cos(∠FAC) = 0

[0036] Solving AF:

[0037]

[0038] Solving the equation AF can obtain two solutions: positive root solution and negative root solution.

[0039] In a preferred embodiment, in step three, the calculation process of angle ∠ACF is as follows:

[0040] AF 2 = CF 2 + AC 2 - 2 x AF x AC x cos(∠ACF)

[0041]

[0042] ∠ACF = acos((CF 2 + AC 2 - AF 2 ) / (2*AF*AC))

[0043] In solving ∠ACF, if the F point is at or below the T point, the AF in the above formula takes the positive root solution, and if the F point is above the T point, the AF in the above formula takes the negative root solution.

[0044] In the preferred scheme, in the step four, the calculation formula of the angle ∠ICG of the arc gate lifting is as follows:

[0045] ∠FCD = ∠ACD - ∠ACF

[0046] Because the same angle of concentric circles, therefore:

[0047] ∠ICG = ∠FCD.

[0048] In the preferred scheme, in the step five, the length calculation process of the base IG of the triangle △ICG is as follows:

[0049] In the triangle △ICG, the two sides CI = CG = R1;

[0050] IG = (R1*sin(∠ICG / 2))*2

[0051] The calculation formula of the angle ∠IGC is as follows:

[0052] ∠IGC = (180° - ∠ICG) / 2

[0053] In the formula, R1 represents the running radius of a point outside the arc gate.

[0054] In the preferred scheme, in the step six, the calculation process of the angle ∠CGM of the right triangle △CGM is as follows:

[0055] ∠CGM = acos(R1 / GM) = acos(R1 / (C.x - G.x).

[0056] In the preferred scheme, in the step seven, the calculation process of the angle ∠IGK of the right triangle △IKG is as follows:

[0057] ∠IGK = 180 - ∠CGM - ∠IGC

[0058] The calculation formula of the arc gate opening IK is as follows:

[0059] IK = IG*sin(∠IGK).

[0060] The hydraulic hoist arc door opening degree measuring method has the following beneficial effects:

[0061] 1. The angle measuring device is installed on the hydraulic hoist arc door piston rod base, the piston rod is extended and retracted up and down to drive the arc door to open and close, since the arc door is operated in an arc line, the piston rod will have an angle change of left and right movement during the extension and retraction up and down, the angle change is measured, and the calculation is used to realize the arc door opening degree measuring method.

[0062] 2. The method does not need the maintenance personnel to go down to the arc door to install and maintain, time and labor are saved, and safety and convenience are achieved. The maintenance personnel needs to go down to the arc door support arm to maintain, and the safety hidden danger and maintenance difficulty are avoided. BRIEF DESCRIPTION OF DRAWINGS

[0063] The application will be further described below in combination with the drawings and embodiments:

[0064] Figure 1 It is an arrangement drawing of the arc door;

[0065] Figure 2 It is a motion drawing of the arc door;

[0066] Figure 3 It is a piston rod base drawing;

[0067] Figure 4 It is a geometric drawing of the arc door opening degree;

[0068] In the drawings, the piston rod 1, the piston rod base 2, the piston rod hydraulic telescopic rod 3, the arc door support arm 4, the arc door 5, the concrete fixed base 6, the arc door running track 7, the hoist machine room 8, the piston rod hydraulic telescopic rod extension and retraction minimum position and the support arm connecting point 9, the piston rod left and right movement angle 10, the piston rod hydraulic telescopic rod extension and retraction maximum position and the support arm connecting point 11, the arc door support arm and the concrete base connecting point 12, and the angle measuring device 13. DETAILED DESCRIPTION

[0069] As shown in Figure 1 and 2 respectively, it is an arrangement drawing and a motion drawing of the arc door, the piston rod is extended and retracted up and down to drive the arc door to open and close, since the arc door is operated in an arc line, the piston rod will have an angle change of left and right movement during the extension and retraction up and down, therefore, the angle measuring device is installed on the hydraulic hoist arc door piston rod base, as shown in Figure 3 , the piston rod angle change is measured, and the calculation is used to realize the arc door opening degree measuring method.

[0070] The arc door running key position is shown in Figure 4 , and the parameters are as follows:

[0071] A - piston rod base center point, coordinates (x, y);

[0072] C - the center of the arc gate, coordinates (x, y);

[0073] G - the zero position of the arc gate (full closed position), coordinates (x, y);

[0074] D - the zero position of the oil cylinder (full closed position), coordinates (x, y);

[0075] T - represents the connecting point of the piston rod and the running track;

[0076] F - represents the real-time position of the connecting point of the piston rod and the arc gate, in which the F point is located at a certain position below the T point; Figure 4

[0077] F1 - represents the connecting point of the piston rod and the arc gate running to a certain position above the T point;

[0078] I - the current position of the arc gate bottom running to the arc line;

[0079] IK - the current opening of the arc gate;

[0080] R0 - represents the running radius of the connecting point of the piston rod and the arc gate;

[0081] R1 - represents the running radius of a certain point outside the arc gate;

[0082] ∠DAF - the inclination angle of the piston rod movement, measured by an angle measuring device.

[0083] A hydraulic hoist gate opening measurement method, comprising the following steps:

[0084] Step one, calculate the top angle ∠FAC, wherein A represents the center point of the piston rod base, C represents the center of the arc gate, and F represents a certain point position below the tangent point of the arc gate running to the arc line.

[0085] The calculation process of ∠FAC is as follows:

[0086] The lengths of the three sides AC, CD and AD of triangle ACD are calculated and determined by the following formula:

[0087] In right triangle ABC, according to the Pythagorean theorem a 2 +b 2 =c 2 , it is known that:

[0088] the hypotenuse

[0089] CD = CF = CF1 = R0;

[0090] CE = C.y - D.y;​

[0091] AB = C.x - A.x;

[0092]

[0093] DH = DE - HE = DE - AB;

[0094] AH = A.y - D.y;

[0095]

[0096] Therefore, the angles DAC and ACD of triangle ACD can be calculated:

[0097] DAC = acos((AD 2 + AC 2 - CD 2 ) / (2 x AD x AC))

[0098] ACD = acos((AC 2 + CD 2 - AD 2 ) / (2 x AC x CD))

[0099] Therefore, FAC = DAC + DAF.

[0100] In the above formulae, C.x and C.y represent the horizontal and vertical coordinates of point C, A.x and A.y represent the horizontal and vertical coordinates of point A, D.y represents the vertical coordinate of point D, CD represents the distance between points C and D, CF represents the distance between points C and F, CE represents the distance between points C and E, AB represents the distance between points A and B, DE represents the distance between points D and E, DH represents the distance between points D and H, HE represents the distance between points H and E, AH represents the distance between points A and H, AD represents the distance between points A and D, DAF is the angle offset value of the piston rod, which is directly measured, E represents the intersection point of the vertical line of point C and the horizontal extension line of point D, CE is perpendicular to DE, B represents the intersection point of the horizontal extension line of point A and the vertical line of point C, AB is perpendicular to CB, H represents the vertical intersection point of point A to DE line, and AH is perpendicular to DE.

[0101] Step two, calculate the cylinder stroke AF, F point is the real-time position of the connecting point of the piston rod and the arc door.

[0102] The calculation formula of the cylinder stroke AF is as follows:

[0103] According to the cosine theorem formula: c 2 = a 2 + b 2-2abcosC, in triangle AFC, given two sides AC, CF and ∠FAC, find the third side AF, the calculation formula is as follows:

[0104] CF 2 = AF 2 + AC 2 - 2*AF*AC*cos(∠FAC)

[0105] AF 2 + AC 2 - CF 2 - 2*AF*AC*cos(∠FAC) = 0

[0106] In the quadratic function, ax 2+ bx + c = 0,

[0107] According to the above conversion formula: a = 1, b = -2*AC*COS∠FAC, c = AC 2 - CF 2 , substitute the formula to find AF:

[0108]

[0109] Solve the equation, AF can be obtained two solutions: positive root and negative root.

[0110] From Figure 4 the geometric diagram of the arc gate opening degree, with the same inclination angle ∠FAC, the oblique line AF has two intersection points with the circular arc, which are F point and F1 point, respectively, representing two different positions of the piston rod connection point, indicating that the piston rod and the arc gate connection point may run to F point or F1 point, F1 indicates that the piston rod and the arc gate connection point runs to a position above T point. When the piston rod and the arc gate connection point is below the tangent point T, that is, F point, take the positive root; when the piston rod and the arc gate connection point is above the tangent point T, that is, F1 point, take the negative root.

[0111] Step three, find the angle ∠ACF of triangle AFC.

[0112] The calculation process of the angle ∠ACF of triangle AFC is as follows:

[0113] AF 2 = CF 2 + AC 2 - 2*AF*AC*cos(∠ACF)

[0114]

[0115] ∠ACF = acos((CF 2 + AC 2 - AF 2) / (2 * AF * AC) ).

[0116] In solving ∠ACF, if the F point is at or below the T point, the AF in the above formula takes the positive root solution, and if the F point is above the T point, the AF in the above formula takes the negative root solution.

[0117] Step four, calculate the arc door lifting angle ∠ICG, D point represents the position of the connecting point between the piston rod and the arc door when the arc door runs to the zero position, G represents the arc door zero coordinate, and I represents the current position of the arc door bottom running to the arc line.

[0118] The calculation formula of the arc door lifting angle ∠ICG is as follows:

[0119] ∠FCD = ∠ACD - ∠ACF

[0120] Because of the concentric circle, the turning angle is the same, so:

[0121] ∠ICG = ∠FCD.

[0122] Step five, calculate the length of the base IG of triangle △ICG and the angle ∠IGC.

[0123] The length calculation process of the base IG of triangle △ICG is as follows:

[0124] In triangle △ICG, the two sides CI = CG = R1;

[0125] IG = (R1 * sin(∠ICG / 2)) * 2

[0126] The calculation formula of the angle ∠IGC is as follows:

[0127] ∠IGC = (180° - ∠ICG) / 2

[0128] Step six, calculate the angle ∠CGM of right triangle △CGM, and M represents the vertical intersection point of the center of the arc door and the sill of the arc door.

[0129] The calculation process of the angle ∠CGM of right triangle △CGM is as follows:

[0130] ∠CGM = acos(R1 / GM) = acos(R1 / (C.x - G.x))

[0131] Step seven, calculate the angle ∠IGK of right triangle △IKG, and thus obtain the arc door opening IK, and K point represents the vertical point between the arc door bottom I point and the sill of the arc door after the arc door bottom runs to I point.

[0132] The calculation process of the angle ∠IGK of right triangle △IKG is as follows:

[0133] ∠IGK = 180 - ∠CGM - ∠IGC

[0134] The calculation formula of the arc gate opening IK is as follows:

[0135] IK = IG * sin (IGK).

[0136] The IK value here is the actual opening value of the opening and closing of the arc gate. The angle value measured by the angle measuring device is directly communicated with the control system PLC through communication, and the angle value is transmitted to the PLC. The PLC is programmed according to the above calculation method to realize real-time opening measurement of the arc gate.

[0137] This method avoids the need for maintenance personnel to go down to the arc gate support arm for maintenance, which has safety hazards and maintenance difficulties.

Claims

1. A hydraulic hoist arc door opening degree measuring method, characterized in that, The method comprises the following steps: Step one, calculating the top angle ∠FAC, wherein A represents the center point of the piston rod base, C represents the center of the arc door, F point is the real-time position of the connecting point of the piston rod and the arc door, and the calculation process of ∠FAC is as follows: The lengths of the three sides AC, CD and AD of the triangle ACD are determined by the following formula: In the right triangle ABC, according to the Pythagorean theorem, it is known that: hypotenuse AC = 2.5 cm ; CD = CF = CF1 = R0; CE = C.y - D.y; AB = C.x - A.x; DE = ; DH = DE - HE = DE - AB; AH = A.y - D.y; AD = ; Therefore, the angles ∠DAC and ∠ACD of the triangle ACD can be calculated as follows: ∠DAC =acos(( + - ) (2 TO AC)); ∠ACD =acos(( + - ) (2 AC CD)); Then ∠FAC = ∠DAC + ∠DAF; In the above formulae: and respectively represent the horizontal and vertical coordinates of point C, and represent the horizontal and vertical coordinates of point A; D.y represents the vertical coordinate of point D; CD represents the distance between points C and D; CF represents the distance between points C and F; CE represents the distance between points C and E; AB represents the distance between points A and B; DE represents the distance between points D and E; DH represents the distance between points D and H; HE represents the distance between points H and E; AH represents the distance between points A and H; AD represents the distance between points A and D; ∠DAF is the angular offset value of the piston rod, which is directly measured; E represents the intersection point of the vertical line of point C and the horizontal extension line of point D, CE is perpendicular to DE; B represents the intersection point of the horizontal extension line of point A and the vertical line of point C, AB is perpendicular to CB; H represents the vertical intersection point of point A to DE line, AH is perpendicular to DE; F1 represents the connecting point of the piston rod and the arc door running to a certain position above point T; R0 represents the running radius of the connecting point of the piston rod and the arc door; Step two, calculating the cylinder stroke AF, F point is the real-time position of the connecting point of the piston rod and the arc door; The calculation formula of the cylinder stroke AF is as follows: According to the cosine theorem formula, in the triangle AFC, two sides AC and CF and the angle ∠FAC are known, and the third side AF is calculated by the following formula: = 2 AF AC cos(∠FAC); 2 AF AC cos(∠FAC)=0; Solving the equation AF can obtain two solutions: the positive root solution and the negative root solution; ； Step three, calculating the angle ∠ACF of the triangle ACF; The calculation process of the angle ∠ACF is as follows: When solving ∠ACF, if the F point is at the T point or below the T point, the AF in the above formula takes the positive root solution, and if the F point is above the T point, the AF in the above formula takes the negative root solution, and T represents the tangent point of the connecting point of the piston rod and the running track; = 2 AF AC cos(∠ACF); cos(∠ACF)= ; ∠ACF = acos(( – ) / (2 OF AC)); Step four, calculating the arc door lifting angle ∠ICG, D point represents the position of the connecting point of the piston rod and the arc door when the arc door runs to the zero position, G represents the zero position coordinate of the arc door, and I represents the current position of the bottom of the arc door running to the arc line; Step five, calculating the length of the bottom IG of the triangle ICG and the angle ∠IGC; Step six, calculating the angle ∠CGM of the right triangle CGM, and M represents the vertical intersection point of the center of the arc door and the sill of the arc door; Step seven, calculating the angle ∠IGK of the right triangle IKG, so as to obtain the opening degree of the arc door, and K point represents the vertical point between the bottom I point of the arc door and the sill of the arc door after the bottom I point of the arc door runs to the I point. In step four, the calculation formula of the arc door lifting angle ∠ICG is as follows:

2. The hydraulic hoist gate opening measurement method according to claim 1, characterized in that, ∠FCD = ∠ACD - ∠ACF; Because the angles of concentric circles are the same, it is known that: ∠ICG = ∠FCD. In step five, the calculation process of the length of the bottom IG of the triangle ICG is as follows:

3. The hydraulic hoist gate opening measurement method according to claim 1, characterized in that, In the triangle ICG, the two sides CI = CG = R1; The calculation formula of the angle ∠IGC is as follows: ； ∠IGC = (180° - ∠ICG) / 2; In the formula, R1 represents the running radius of a certain point on the outside of the arc door. In step six, the calculation process of the angle ∠CGM of the right triangle CGM is as follows:

4. The hydraulic hoist gate opening measurement method according to claim 1, characterized in that, ∠CGM = acos(R1 / GM) = acos(R1 / (C.x-G.x)). In step seven, the calculation process of the angle ∠IGK of the right triangle IKG is as follows:

5. The hydraulic hoist gate opening measurement method according to claim 1, characterized in that, ∠IGK = 180 - ∠CGM - ∠IGC; ​ The calculation formula of the arc gate opening IK is as follows: 。

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