CN110457848B - Method for calculating hydrostatic level of tail water lock chamber in non-pressure tail water system - Google Patents
Method for calculating hydrostatic level of tail water lock chamber in non-pressure tail water system Download PDFInfo
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Abstract
The invention discloses a method for calculating the hydrostatic level of a tail water lock chamber in a non-pressure tail water system, belongs to the technical field of hydraulic and hydroelectric engineering, and provides a novel method for calculating the hydrostatic level of the tail water lock chamber in the non-pressure tail water system, which can effectively improve the precision of a calculation result. According to the invention, the corresponding calculation section is intercepted, and calculation is carried out by adopting a formula of 'conservation of energy of constant total flow of liquid', so that the calculated hydrostatic level value of the tail water lock chamber is accurate and reliable and is closer to the actual water level; therefore, a more accurate basis is provided for subsequent power station installation elevation determination, tail water building structural design and particularly tail water lock chamber structural arrangement, and finally, the engineering investment can be saved. The method disclosed by the invention is wide in application range in the hydraulics calculation of the non-pressure tail water system, convenient and simple in calculation, and worthy of popularization and application.
Description
Technical Field
The invention relates to the technical field of hydraulic and hydroelectric engineering, in particular to a method for calculating a hydrostatic level of a tail water lock chamber in a non-pressure tail water system.
Background
The hydrostatic level of the tail water lock chamber in the non-pressure tail water system is an important design basis in tail water structural design, and the main purpose of water level calculation is to determine the hydrostatic level of the tail water lock chamber under various design conditions so as to more reasonably carry out structural arrangement design of buildings such as a tail water channel, a tail water outlet lock pier and the tail water lock chamber, and simultaneously provide accurate basis for kinetic energy design of a power station, determination of unit installation height, structural design of a lock gate and the like.
At present, in many hydropower station designs, a long non-pressure tail water system is arranged according to arrangement requirements, the tail water system mainly comprises a tail water gate chamber and a corresponding non-pressure tail water runner, and the non-pressure tail water runner mainly comprises buildings such as a non-pressure tail water hole, a tail water outlet gate pier, a tail water channel and the like. Because the corresponding building types of the tail water system are more under the common condition, the hydraulic calculation boundary condition is more complex, and various water levels of the tail water lock gate chamber are difficult to determine accurately. In the past, in a plurality of short tail water systems or power stations with simpler tail water systems, as the tail water flow channel is short and the building type is relatively single, when the conditions of chamber section combination, section size change, bend and the like do not exist, the hydrostatic level of the corresponding non-pressure tail water lock chamber can be calculated by adopting hydraulic loss calculation or river water surface curve deduction in hydraulics, and the calculated tail water level can meet the design precision requirement within an error allowable range.
However, in a long non-pressure tail water system or under the condition that the form of a tail water runner is relatively complex, the hydrostatic level in the tail water lock chamber is calculated by the method, the deviation of the calculation result is large, the design and arrangement of the whole tail water system are not facilitated, particularly, the accuracy of determining the installation height of a unit is poor, and the fine design of a power station is not facilitated. In the design, the safety is often biased, the value is conservative, and the redundancy is large, so that the economical efficiency of the power station is influenced.
Disclosure of Invention
The invention solves the technical problem of providing a novel method for calculating the hydrostatic level of the tail water lock chamber in the non-pressure tail water system, which can effectively improve the precision of the calculation result.
The technical scheme adopted by the invention for solving the technical problems is as follows: the method for calculating the hydrostatic level of the tail water lock chamber in the non-pressure tail water system calculates the arrangement structure of tail water runners in the known non-pressure tail water system and under the condition of appointed flow Q, and comprises the following steps:
A. acquiring a river channel water level corresponding to an outlet of a tail water flow channel in a non-pressure tail water system;
B. taking the water passing section at the outlet of the tail water runner as an outlet section N0Tail water taking runnerThe water passing section at the inlet is an inlet section Nmax(ii) a Sequentially taking a plurality of water passing sections at intervals as corresponding calculation sections N along the direction from the outlet of the tail water flow passage to the inlet of the tail water flow passageiWherein the subscript i is a positive integer, calculating the section NiShowing the ith water flow cross-section taken from the outlet of the tailwater flow passage to the inlet of the tailwater flow passage;
C. taking the river water level obtained in the step A as an outlet section N0Water level h of0(ii) a Through the outlet cross-section N0Water level h of0Outlet section N0Calculating the design parameter and the specified flow Q to obtain the outlet section N0Corresponding to the average flow velocity v of the water flow0;
D. Selecting a reference plane and then cutting the section N from the outlet0The next calculation section N is calculated step by stepiCorresponding to the average flow velocity v of the water flowiAnd finally calculating to obtain an inlet section NmaxCorresponding to the average flow velocity v of the water flowmax;
Adjacent calculated section NiAnd calculating the section N(i+1)The following calculation formula is adopted for calculation:
zi+pi/γ+vi 2/(2*g)+hw=z(i+1)+p(i+1)/γ+v(i+1) 2/(2*g)
in the formula:
zirepresenting the calculated section N relative to a reference planeiThe average potential energy of the water body per unit weight is also called as a position water head;
pigamma represents the calculated section N relative to the base planeiAverage pressure energy of water per unit weight;
vi 2v (2 × g) represents the calculated section N below the reference planeiAverage kinetic energy of the water body per unit weight;
pirepresentation acting on the calculated section NiThe hydrodynamic pressure on the centroid of (a) is strong;
gamma represents the volume weight of water;
virepresenting the calculated section NiAverage flow velocity of water;
g represents the gravitational acceleration;
hwrepresenting adjacent calculated sections NiAnd calculating the section N(i+1)Total head loss in between;
E. through the inlet section NmaxDesign parameter of (d), entry section NmaxCorresponding to the average flow velocity v of the water flowmaxCalculating the specified flow Q to obtain an inlet section NmaxWater level h ofmax(ii) a And get the water level h of the water surfacemaxThe water level of a tail water lock chamber in a non-pressure tail water system is still.
Further, the method comprises the following steps: h iswTaking adjacent calculation section NiAnd calculating the section N(i+1)The sum of the on-way head loss and the local head loss therebetween.
Further, the method comprises the following steps: calculating the water velocity v required for calculating the on-way head loss to obtain a calculated section NiCorresponding average flow velocity viAnd calculating the section N(i+1)Corresponding average flow velocity v(i+1)Is the arithmetic mean of (v) ((v))i+v(i+1))/2。
Further, the method comprises the following steps: z is a radical ofiTaking and calculating section NiThe perpendicular distance of the centroid of (a) to the reference plane.
Further, the method comprises the following steps: p is a radical ofiThe/gamma is taken to calculate the section NiFrom the water surface to the calculated section NiThe vertical distance between the centroids of (a).
Further, the method comprises the following steps: in the step B, along the direction from the outlet of the tail water flow channel to the inlet of the tail water flow channel, taking the water passing section at the position where the water flow boundary condition of the tail water flow channel is suddenly changed as a corresponding calculation section Ni。
Further, the method comprises the following steps: the position of each sudden change of the water flow boundary condition of the tail water flow channel comprises a position corresponding to any one of the following conditions: the water passing section is suddenly increased, the water passing section is suddenly reduced, the water passing section is merged, the water passing section is branched, the water passing section suddenly climbs, the water passing section is suddenly broken downwards, the inlet of a bend, the outlet of the bend, the inlet of a trash rack, the outlet of the trash rack, the inlet of a gate slot and the outlet of the gate slot.
The invention has the beneficial effects that: according to the invention, the corresponding calculation section is intercepted, and calculation is carried out by adopting a formula of 'conservation of energy of constant total flow of liquid', so that the calculated hydrostatic level value of the tail water lock chamber is accurate and reliable and is closer to the actual water level; therefore, a relatively accurate basis is provided for subsequent power station installation elevation determination and tail water building structure design, particularly tail water lock chamber structure arrangement. The method disclosed by the invention is wide in application range in the hydraulics calculation of the non-pressure tail water system, convenient and simple in calculation, and worthy of popularization and application.
Drawings
FIG. 1 is a schematic plan view of a long pressureless tailwater system of the present invention;
FIG. 2 is a schematic longitudinal section of a long pressureless tail water system of the present invention;
FIG. 3 is a schematic of an energy equation calculation representative section;
FIG. 4 shows the outlet cross-section N0A schematic diagram of (a);
labeled as: the tail water gate comprises a tail water connecting hole 1, a tail water gate chamber 2, a tail water runner 3, a reverse slope section 31, a straight section 32, a curve section 33, a tail water channel 34, gate piers 4, a river channel 5, a water surface 6 and a reference plane 7.
Detailed Description
The invention is further described with reference to the following figures and detailed description.
As shown in fig. 1 to 4, the method for calculating the dead water level of the tail water lock chamber in the non-pressure tail water system according to the present invention, wherein the tail water lock chamber 2 is supplied with water from the upstream tail water connecting hole 1 and then discharged into the corresponding river 5 through the tail water runner 3. In addition, as shown in fig. 1 and 2, the tailrace flow passage 3 will generally include a corresponding reverse slope section 31, a straight section 32, a curve section 33, and a tailrace 34, and a corresponding gate pier 4 is also provided at the upstream end of the tailrace 34.
The invention calculates the tail water lock chamber hydrostatic level in the non-pressure tail water system under the condition to obtain the tail water lock chamber hydrostatic level parameter, calculates the arrangement structure of the tail water runner 3 in the known non-pressure tail water system and under the condition of the specified flow Q, and concretely comprises the following steps:
A. acquiring a river channel water level corresponding to an outlet of a tail water flow channel 3 in a non-pressure tail water system;
B. taking the water passing section at the outlet of the tail water flow channel 3 as an outlet section N0Taking the water passing section at the inlet of the tail water flow passage 3 as an inlet section Nmax(ii) a A plurality of water passing sections are sequentially taken at intervals as corresponding calculation sections N along the direction from the outlet of the tail water flow passage 3 to the inlet of the tail water flow passage 3iWherein the subscript i is a positive integer, calculating the section NiShowing the i-th water flow cross section taken from the outlet of the tailwater flow passage 3 to the inlet of the tailwater flow passage 3;
C. taking the river water level obtained in the step A as an outlet section N0Water level h of0(ii) a Through the outlet cross-section N0Water level h of0Outlet section N0Calculating the design parameter and the specified flow Q to obtain the outlet section N0Corresponding to the average flow velocity v of the water flow0;
D. Selecting a reference plane and then cutting the section N from the outlet0The next calculation section N is calculated step by stepiCorresponding to the average flow velocity v of the water flowiAnd finally calculating to obtain an inlet section NmaxCorresponding to the average flow velocity v of the water flowmax;
Adjacent calculated section NiAnd calculating the section N(i+1)The following calculation formula is adopted for calculation:
zi+pi/γ+vi 2/(2*g)+hw=z(i+1)+p(i+1)/γ+v(i+1) 2/(2*g)
in the formula:
zirepresenting the calculated section N relative to a reference planeiThe average potential energy of the water body per unit weight is also called as a position water head;
pigamma represents the calculated section N relative to the base planeiAverage pressure energy of water per unit weight;
vi 2v (2 × g) represents the calculated section N below the reference planeiAverage kinetic energy of the water body per unit weight;
pirepresentation acting on the calculated section NiThe hydrodynamic pressure on the centroid of (a) is strong;
gamma represents the volume weight of water;
virepresenting the calculated section NiAverage flow velocity of water;
g represents the gravitational acceleration;
hwrepresenting adjacent calculated sections NiAnd calculating the section N(i+1)Total head loss in between;
E. through the inlet section NmaxDesign parameter of (d), entry section NmaxCorresponding to the average flow velocity v of the water flowmaxCalculating the specified flow Q to obtain an inlet section NmaxWater level h ofmax(ii) a And get the water level h of the water surfacemaxThe water level of a tail water lock chamber in a non-pressure tail water system is still.
Specifically, in step a, the corresponding river channel water level may be determined according to the measured water level flow relation curve of the corresponding position of the river channel 5.
For step B, corresponding calculation section N is arranged along the tail water flow passage 3 according to the actual structure of the tail water flow passage 3iTo provide corresponding calculation section N for stepwise and sectionally calculating in the subsequent step Di。
More specifically, in the present invention, it is preferable that the water cross section at each position where the sudden change occurs in the water flow boundary condition of the tailwater flow passage 3 is taken as the corresponding calculated cross section N along the direction from the outlet of the tailwater flow passage 3 to the inlet of the tailwater flow passage 3i(ii) a The purpose is to calculate the cross-section N adjacently after such segmentationiAnd calculating the section N(i+1)The change of the water flow boundary conditions of the corresponding tail water channel sections is continuously constant or continuously and uniformly changed, and under the condition, the water head loss in the sections can be relatively and conveniently calculated, so that the feasibility is provided for calculation through the 'liquid constant total flow energy conservation' formula adopted in the step D.
The position of the tail water flow channel 3 where the water flow boundary condition changes suddenly may include a position corresponding to any one of the following conditions: the water passing section is suddenly increased, the water passing section is suddenly reduced, the water passing section is merged, the water passing section is branched, the water passing section suddenly climbs, the water passing section is suddenly broken downwards, the inlet of a bend, the outlet of the bend, the inlet of a trash rack, the outlet of the trash rack, the inlet of a gate slot and the outlet of the gate slot. For example, the water passing section N shown in FIG. 3iAnd N(i+1)The water flow boundary condition is suddenly changed due to the sudden change of the direction of the bottom plate of the flow channel, and corresponding water passing sections N are respectively arranged at two ends of the bottom plate with the sudden changeiAnd N(i+1)。
In addition, in order to improve the calculation accuracy, a corresponding water cross section N is arranged at each position where sudden change occurs according to the water flow boundary conditionsiAnd then, if the distance between two adjacent water passing sections is long, an additional water passing section can be additionally arranged between the two water passing sections so as to improve the calculation precision.
For step C, the river channel water level obtained in step A is taken as the water level at the outlet of the tail water runner, namely as the outlet section N0Water level h of0(ii) a Then can pass through the outlet section N0Water level h of0Outlet section N0Calculating the design parameter and the specified flow Q to obtain the outlet section N0Corresponding to the average flow velocity v of the water flow0(ii) a Providing an initial outlet section N for a formula calculated step by step in a subsequent step D0Corresponding relevant parameters. In particular, the invention is directed to an outlet section N0Corresponding to the average flow velocity v of the water flow0The calculation process of (2) is briefly described as follows:
outlet section N as shown in fig. 40Is rectangular and the corresponding outlet cross-sectional area S is the product of the corresponding width a and the height b, wherein the width a can be determined according to the tail water channel 3 at the outlet cross-section N0Corresponding design parameters are obtained, and the height b can be obtained according to the outlet section N0Water level h of0With tail water channel 3 at outlet section N0Determining the difference between the elevations of the base plates, and calculating to obtain the area S of the cross section of the outlet; wherein the outlet cross section N0The elevation of the bottom plate can be determined according to the height of the tail water flow channel 3 at the outlet section N0Acquiring corresponding design parameters; so that under the condition of specified flow Q, the corresponding average flow speed v can be calculated and obtained0I.e. v0Q/S-Q/(a-b). Similarly, in step E, when the corresponding entrance section N has been calculatedmaxCorresponding to the average flow velocity v of the water flowmaxThen, the gas passes through the inlet section NmaxDesign parameter of (d), entry section NmaxCorresponding to the average flow velocity v of the water flowmaxCalculating the specified flow Q to obtain an inlet section NmaxWater level h ofmax(ii) a Then the water level h on the water surface is takenmaxThe water level of a tail water lock chamber in a non-pressure tail water system is still.
For step D, adjacent computed sections NiAnd calculating the section N(i+1)The calculation formula is actually a calculation formula adopting the principle of 'conservation of energy of constant total flow of liquid', and the left end of the equal sign in the formula corresponds to the calculation section NiTotal energy and calculated section NiAnd calculating the section N(i+1)Head loss h betweenwSumming; and the right end of the equal sign corresponds to the calculated section N(i+1)Total energy of the process water. By the calculation formula, the calculated section N can be obtainediV corresponding toiObtaining next calculation section N by post calculation(i+1)V corresponding to(i+1)Therefore, after calculation step by step, the inlet section N can be finally calculatedmaxCorresponding to the average flow velocity v of the water flowmax(ii) a And then the inlet section N can be finally calculatedmaxWater level h of water surfacemax. Thus, the water level h is calculated and obtainedmaxThen, in the invention, the water level h of the water surface is takenmaxDirectly setting the hydrostatic level of a tail water lock chamber in a non-pressure tail water system; namely the water level h of the water surfacemaxIs basically equal to the hydrostatic level of the tail water lock chamber; thereby finally obtaining the required hydrostatic level result of the tail water lock chamber 2.
Without loss of generality, bits are conveniently determined in the calculation processWater head ziA certain reference plane for easy acquisition and calculation is generally assumed as the reference plane 7. More specifically, in the present invention, the calculation section N can be selected0To the calculation of the section NmaxThe level of the relatively lower floor of the middle is calculated as the reference plane 7.
In addition, in the present invention, hwRepresenting adjacent calculated sections NiAnd calculating the section N(i+1)Head loss between; the parameter can be specifically calculated by adjacent cross sections NiAnd calculating the section N(i+1)The sum of the on-way head loss and the local head loss therebetween. And for the on-way head loss and the local head loss, the corresponding calculation formula can be found through the teaching materials of hydraulics or the design specifications of hydraulic tunnels DL/T5195.
More specifically, in general, the local head loss is often related to the water velocity at the corresponding position, and the calculated water velocity v value required for calculating the local head loss in the invention is determined according to the corresponding flow velocity value requirement at the corresponding position specified by the head loss calculation formula in the teaching material of hydraulics; and taking a calculated section N for the calculated water velocity v required for calculating the on-way head lossiCorresponding average flow velocity viAnd calculating the section N(i+1)Corresponding average flow velocity v(i+1)Is the arithmetic mean of (v) ((v))i+v(i+1))/2。
Referring to FIG. 3, two adjacent computed sections N are showniAnd calculating the section N(i+1)Schematic representation of (a). In the actual calculation process, the invention can replace the following calculation results to facilitate the actual calculation: for ziTaking and calculating section NiCentroid O ofiPerpendicular distance L to reference plane 7i(ii) a And for piThe/gamma does not need to calculate each internal parameter respectively, but takes the calculation section NiFrom the water surface to the calculated section NiCentroid O ofiPerpendicular distance H therebetweeni(ii) a Without loss of generality, the corresponding z(i+1)Taking and calculating section N(i+1)Centroid O of(i+1)Perpendicular distance to reference plane 7Is far from L(i+1)(ii) a And for p(i+1)The calculated section N is taken(i+1)From the water surface to the calculated section N(i+1)Centroid O of(i+1)Perpendicular distance H therebetween(i+1). Wherein, for the centroid OiIs determined according to the corresponding calculated section NiThe size of the flow channel structure and the water level h corresponding to the position of the water surface 6iObtaining a corresponding calculation section NiThen the corresponding centroid O is obtainedi(ii) a While obtaining the corresponding centroid OiThen, the section N can be calculatediWater level h ofiAnd reference plane 7 to obtain corresponding LiAnd Hi。
In addition, for the convenience of calculation, the actual calculation process in step D in the present invention may be preferably calculated by adopting a trial calculation method, that is, assuming the corresponding calculation section N(i+1)Corresponding to the average flow velocity v of the water flow(i+1)(ii) a Then respectively calculating the results at the two ends of the equal sign in the formula, and adjusting the average flow velocity v of the water flow according to the difference of the results(i+1)Until the results at both ends of the equal sign in the formula are equal.
Claims (7)
1. A method for calculating the hydrostatic level of a tail water lock chamber in a non-pressure tail water system calculates the arrangement structure of a tail water runner (3) in the known non-pressure tail water system and under the condition of appointed flow Q, and is characterized in that: the method comprises the following steps:
A. acquiring the river water level corresponding to the outlet of a tail water flow channel (3) in the non-pressure tail water system;
B. the water passing section at the outlet of the tail water flow passage (3) is an outlet section N0Taking the water passing section at the inlet of the tail water flow passage (3) as an inlet section Nmax(ii) a A plurality of water passing sections are sequentially taken at intervals along the direction from the outlet of the tail water flow passage (3) to the inlet of the tail water flow passage (3) as corresponding calculation sections NiWherein the subscript i is a positive integer, calculating the section NiRepresents the ith water passing section taken from the outlet of the tail water flow channel (3) to the inlet of the tail water flow channel (3);
C. taking the river water level obtained in the step A as an outlet section N0Water level h of0(ii) a Through the outlet cross-section N0Water level h of0Outlet section N0Calculating the design parameter and the specified flow Q to obtain the outlet section N0Corresponding to the average flow velocity v of the water flow0;
D. Selecting a reference plane and then cutting the section N from the outlet0Beginning to trial calculate the next calculation section N step by stepiCorresponding to the average flow velocity v of the water flowiAnd finally calculating to obtain an inlet section NmaxCorresponding to the average flow velocity v of the water flowmax;
Adjacent calculated section NiAnd calculating the section N(i+1)The following calculation formula is adopted for calculation:
zi+pi/γ+vi 2/(2*g)+hw=z(i+1)+p(i+1)/γ+v(i+1) 2/(2*g)
in the formula:
zirepresenting the calculated section N relative to a reference planeiThe average potential energy of the water body per unit weight is also called as a position water head;
pigamma represents the calculated section N relative to the base planeiAverage pressure energy of water per unit weight;
vi 2v (2 × g) represents the calculated section N below the reference planeiAverage kinetic energy of the water body per unit weight;
pirepresentation acting on the calculated section NiThe hydrodynamic pressure on the centroid of (a) is strong;
gamma represents the volume weight of water;
virepresenting the calculated section NiAverage flow velocity of water;
g represents the gravitational acceleration;
hwrepresenting adjacent calculated sections NiAnd calculating the section N(i+1)Total head loss in between;
E. through the inlet section NmaxDesign parameter of (d), entry section NmaxCorresponding to the average flow velocity v of the water flowmaxHehe fingerCalculating the constant flow Q to obtain an inlet section NmaxWater level h ofmax(ii) a And get the water level h of the water surfacemaxThe water level of a tail water lock chamber in a non-pressure tail water system is still.
2. The method for calculating the hydrostatic level of the tail water lock chamber in the pressureless tail water system according to claim 1, wherein the method comprises the following steps: h iswTaking adjacent calculation section NiAnd calculating the section N(i+1)The sum of the on-way head loss and the local head loss therebetween.
3. The method for calculating the hydrostatic level of the tail water lock chamber in the pressureless tail water system according to claim 2, wherein the method comprises the following steps: calculating the water velocity v required for calculating the on-way head loss to obtain a calculated section NiCorresponding average flow velocity viAnd calculating the section N(i+1)Corresponding average flow velocity v(i+1)Is the arithmetic mean of (v) ((v))i+v(i+1))/2。
4. The method for calculating the hydrostatic level of the tail water lock chamber in the pressureless tail water system according to claim 1, wherein the method comprises the following steps: z is a radical ofiTaking and calculating section NiCentroid O ofiPerpendicular distance L to the reference plane (7)i。
5. The method for calculating the hydrostatic level of the tail water lock chamber in the pressureless tail water system according to claim 4, wherein the method comprises the following steps: p is a radical ofiThe/gamma is taken to calculate the section NiFrom the water surface to the calculated section NiCentroid O ofiPerpendicular distance H therebetweeni。
6. The method for calculating the hydrostatic level of the tail water lock chamber in the non-pressure tail water system according to any one of claims 1 to 5, wherein: in the step B, along the direction from the outlet of the tail water flow channel (3) to the inlet of the tail water flow channel (3), taking the water cross section at each position where the water flow boundary condition of the tail water flow channel (3) changes suddenly as a corresponding calculated cross section Ni。
7. The method for calculating the hydrostatic level of the tail water lock chamber in the pressureless tail water system according to claim 6, wherein the method comprises the following steps: the position of each sudden change of the water flow boundary condition of the tail water flow channel (3) comprises a position corresponding to any one of the following conditions: the water passing section is suddenly increased, the water passing section is suddenly reduced, the water passing section is merged, the water passing section is branched, the water passing section suddenly climbs, the water passing section is suddenly broken downwards, the inlet of a bend, the outlet of the bend, the inlet of a trash rack, the outlet of the trash rack, the inlet of a gate slot and the outlet of the gate slot.
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