CN113628062B - Method for quantitatively supplying water to secondary water supply tank based on actual reserve water quantity - Google Patents
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Abstract
The invention discloses a method for quantitatively supplying water to a secondary water supply tank based on actual reserve water quantity, which comprises the following steps: 1. calculating theoretical outlet flow in different time periods of a day; calculating theoretical water retention quantity of the water storage equipment at starting moments of different time periods of a day under the condition of given retention time; calculating the actual reserved water quantity of the water tank, and calculating the inlet flow of the water tank in different time periods of the day by a control system according to the theoretical outlet flow, the theoretical reserved water quantity and the actual reserved water quantity; and step four, finishing one-day water supply according to the result of the step three. The invention fully considers the actual situation that the water tank is provided with the ball gap, and can accurately calculate the actual water retention quantity of the water tank, thereby quantitatively controlling the retention time of tap water in the high-level water tank or the low-level water tank based on the actual water retention quantity and furthest reducing the risk of exceeding the microbial index caused by overlong retention time of the tap water in the water tank.
Description
Technical Field
The invention relates to the field of secondary water supply of urban water supply network systems, in particular to a method for quantitatively supplying water to a secondary water supply tank based on actual reserve water quantity.
Background
At present, most of the disinfection of urban drinking water (commonly called tap water) in China adopts a chlorine disinfection method. The chlorine disinfection method has the outstanding advantages that residual chlorine has a continuous disinfection effect, and the residual chlorine refers to the residual chlorine amount in water after chlorine is added to contact for a certain time during chlorine disinfection. The residual chlorine concentration in the urban water supply network system can be gradually attenuated along with the time, and the sufficient residual chlorine concentration in the urban water supply network system can ensure that microorganisms in tap water are controlled within a qualified range.
The secondary water supply is a water supply mode that users or users are supplied by pipelines through facilities such as storage, pressurization and the like when the requirements of domestic and industrial building drinking water on water pressure and water quantity exceed the capacity of a water supply network of urban public water supply or self-built facilities. The secondary water supply facility mainly comprises a water storage device, a pressurizing device and a pipeline. Tap water can stay for a period of time in secondary water supply and storage equipment (hereinafter referred to as a water tank), if the stay time is too long, the residual chlorine concentration can be attenuated to a very low level, so that the effect of effectively killing microorganisms in water can not be achieved, and the microorganism index of the tap water in the water tank exceeds the standard. Therefore, it is of great importance to minimize the residence time of tap water in the tank.
The water tank is used in three ways, the first of which is: the water tank is arranged on the roof or the middle floor of the high-rise building, tap water in the urban water supply pipeline system is pumped to the water tank on the roof or the middle floor through water in the pump house, and then naturally flows into the user's home; second kind: the water tank is arranged in the pump room, tap water in the urban water supply network system flows into the water tank in the pump room firstly, and then is directly pressurized and conveyed to the home of a high-rise user through the variable-frequency water pump; third kind: the water tanks are arranged at two places, one place is arranged in a pump house, the other place is arranged on the roof or the middle floor of a high-rise building, tap water in the urban water supply network system firstly flows into the water tank in the pump house, then the tap water is pumped into the water tank on the roof or the middle floor through the water in the pump house, and then naturally flows into the user's home. Such a tank is also called a high-level tank, which is installed on the roof or middle floor of a high-rise building, and such a tank is also called a low-level tank, which is installed in a pump room.
In the first water supply mode, tap water is pumped to a high-level water tank by water pump, and in order to ensure sufficient water for users, the first water supply mode is defined in national standard GB50015-2003 (2009 edition) by 3.8.3: when the building adopts the domestic water supply system regulated by the high-level water tank, the maximum water yield of the water pump is not smaller than the water consumption at the maximum time. In the second water supply mode, tap water flows into the low-level water tank by the pressure of the urban water supply pipeline system, and the water inflow per hour is usually larger than the water consumption per hour, but the water inflow per hour is possibly smaller than the water consumption per hour in the water consumption peak period, so that the water storage effect of the low-level water tank is reflected.
The inlet flow of the water tank (hereinafter referred to as inlet flow) refers to the flow of tap water at a certain moment at the inlet of the water tank, the size of the low-level water tank is determined by the pressure of tap water in a city water supply network system and the pipe diameter of a water inlet pipe, the size of the high-level water tank is determined by a water pump, the water pump is divided into a common water pump and a variable-frequency water pump according to whether the rotation speed regulating flow can be regulated or not, the water pump incapable of regulating the rotation speed regulating flow is called as the common water pump, and the water pump capable of regulating the rotation speed regulating flow is called as the variable-frequency water pump. The outlet flow of the water tank (hereinafter referred to as outlet flow) refers to the flow of tap water at a certain moment at the outlet of the water tank, and the size of the outlet flow is determined by the water consumption condition of users served by the water tank. The water retention capacity of the water tank (hereinafter referred to as retention capacity) refers to the total volume of tap water at a certain moment in the water tank. The amount of water remaining and the amount of outlet flow determine the residence time of tap water in the tank. At present, the control of the water retention quantity is realized through a water level control valve in a water tank, when the water level in the water tank falls beyond a preset value, the water level control valve is opened and starts to supply water, and when the water level rises to a preset height, the water level control valve is closed and stops supplying water, and the control method does not completely consider the problem of the retention time of tap water in the water tank. It has been proposed to adjust the water supply amount of a water pump water supply tank according to the actual water consumption, specifically to increase the water supply amount of the water pump when the water consumption is large and decrease the water supply amount of the water pump when the water consumption is small. However, since this water supply method does not specifically consider the quantitative relationship between the remaining water amount and the residence time of the tap water in the water tank, the remaining water amount cannot be quantitatively calculated according to the given residence time, and the water supply amount of the water tank cannot be quantitatively calculated according to the given residence time, with the result that the residence time of the tap water in the water tank cannot be quantitatively controlled.
In order to solve the technical problems, publication No. CN110258723a discloses a quantitative water supply method of secondary water supply and storage equipment in 2019, 9 and 20 days, and the technical scheme includes the following steps: calculating theoretical outlet flow in different time periods of a day; calculating theoretical water retention quantity of the water storage equipment at starting moments of different time periods of a day under the condition of given retention time; thirdly, detecting the reserved water quantity of the water tank in real time through water quantity detection equipment, and calculating the inlet flow of the water tank in different time periods of the day by a control system according to the theoretical outlet flow, the theoretical reserved water quantity and the reserved water quantity; and step four, the control system completes the water supply of the time period by matching with the water supply control equipment according to the result of the step three at the starting time of different time periods of the day, and the water supply of the day is completed according to the circulation. The method solves the problem of quantitative control of the residence time of tap water in water storage equipment (high-level water tank or low-level water tank), and reduces the risk of exceeding of microorganism indexes caused by overlong residence time of tap water in the water storage equipment to the maximum extent.
However, in the above-mentioned document, the water retention amount detected in real time in the third step is calculated by multiplying the measured water level height of the water tank by the longitudinal sectional area of the water tank. The longitudinal section of the tank means a section obtained by cutting off the tank with a plane parallel to the length and width of the tank, and the cross section of the tank means a section obtained by cutting off the tank with a plane parallel to the height and width of the tank. Most of the currently used water tanks are stainless steel water tanks, which are usually formed by welding a plurality of square stainless steel plates with equal size on site, and in order to increase strength and prevent deformation, almost all the square stainless steel plates on the side surfaces and the top surface of the stainless steel water tanks are punched into outwards protruding shapes, which are called as spherical defects in mathematics. As in the prior art with publication number CN203256059U, it is disclosed in 2013, 10 and 30 that the side wall of the water tank is formed by assembling and welding a plurality of punched stainless steel plates with different thicknesses. Generally, the stainless steel tank is two-layered at most, and also has a single layer and multiple layers, but each layer has a similar structure and contains the same number of balls. The strength of the water tank can be effectively increased through the spherical segment, but at present, when the water tank water retention amount is detected and calculated, the water tank water level height is directly multiplied by the water tank longitudinal sectional area without the spherical segment, the water amount corresponding to the spherical segment part is not considered, so that the calculated water retention amount usually has about 5% error, and the accurate control of water supply of the water tank is not facilitated.
Disclosure of Invention
The invention aims to overcome the problems in the prior art and provide a method for quantitatively supplying water to a secondary water supply tank based on the actual water retention amount, which can quantitatively control the retention time of tap water in a high-level water tank or a low-level water tank based on the actual water retention amount, furthest reduce the risk of exceeding the standard of microorganism indexes caused by overlong retention time of tap water in the water tank, and has the advantages of little change to the prior equipment, convenient implementation and low energy consumption, maintenance cost and running cost in actual running.
In order to achieve the above purpose, the technical scheme adopted by the invention is as follows:
a method for quantitatively supplying water to a secondary water supply tank based on an actual reserve amount of water, comprising the steps of:
detecting outlet flow of the water tank in different time periods of one day continuously for a plurality of days through an outlet flowmeter, and calculating theoretical outlet flow in different time periods of one day by a control system according to the detected outlet flow after detection is completed;
calculating theoretical water retention quantity of the water tank at the starting moment of different time periods of the day under the condition of given residence time according to the theoretical outlet flow by a control system;
step three, detecting and calculating the actual reserved water quantity of the water tank in real time through a water quantity detection device, and calculating the inlet flow of the water tank in different time periods of the day by a control system according to the theoretical outlet flow, the theoretical reserved water quantity and the actual reserved water quantity;
the actual water retention amount is the sum of the first water amount of the water tank except the spherical segment and the second water amount of the water tank belonging to the spherical segment; the second water quantity calculating method comprises the following steps: firstly, dividing the water level height of the actual water retention quantity into a plurality of types according to the difference of the water level height of the actual water retention quantity on the water surface, determining a formula for calculating the second water quantity for each type, and then calculating the second water quantity according to the corresponding calculation formula;
step four, when the water tank is a low-level water tank and the water supply control equipment is an automatic valve, or when the water tank is a high-level water tank and the water supply control equipment is a common water pump; the control system sends control signal instructions whether to start water supply to the water tank or not to the water supply control equipment according to the result of the third step at the starting time of different time periods of a day, if water supply needs to be started, the specific time when the started water supply control equipment needs to be closed in the time period is calculated, the water supply control equipment is closed according to the calculation result to stop water supply, water supply in the time period is completed, and water supply in one day is completed according to the circulation;
when the water tank is a high-level water tank and the water supply control equipment is a variable-frequency water pump, the control system sends the result of the step three to the variable-frequency water pump at the starting time of different time periods of the day, and the variable-frequency water pump automatically completes the water supply of the time period according to the received inlet flow, and the water supply of the day is completed according to the circulation.
In the third step, the calculation method of the actual water retention in the water tank comprises the following steps:
let the first water quantity be W 1 The second water quantity is W 2 The actual water retention in the water tank is W, then:
W＝W 1 +W 2 (1)
w in (1) 1 To actually retain water W without taking into account the volume of the segment 2 The volume of the part belonging to the sphere in the actual water retention W.
The first water quantity is obtained by multiplying the water level height of the actual reserved water quantity by the longitudinal sectional area of the water tank without the ball.
The first water quantity calculating method comprises the following steps:
let the water level in the water tank be Y, the actual water retention corresponding to the water level Y be W, the longitudinal section area of the water tank without the ball is S, then:
W 1 ＝Y·S (2)
w in (2) 1 The volume of the segment is not taken into consideration for the actual water retention amount W.
The calculation method of the second water quantity comprises the following steps:
is provided with a water tank in commonn layers, each layer having a height H 0 Each water tank layer contains m outwards protruding spherical defects, the height of each spherical defect is set to be H, the radius of the bottom surface of each spherical defect is set to be r, the distance from the lowest position of each spherical defect to the lowest point of the water tank layer is set to be a, the water level height of the actual water retention quantity is set to be Y, the height of the actual water retention quantity on the water tank layer is set to be H, the difference value of the water level height Y minus the water level lowest point height is also represented by H, and the water level height Y is divided into the following four types according to the size of H:
mod in formula (3) is the remainder operator; y in (4) 1 The water level Y is expressed as being between the lowest point of each layer and the lowest point of the sphere defect of the layer 2 The water level Y is expressed between the lowest point of each layer of the ball defect and the circle center of the bottom surface of the ball defect 3 The water level Y is expressed as being between the center of the bottom surface of each layer of the ball gap and the highest point of the ball gap 4 The water level Y is indicated to be between the highest point of each layer of the spherical defect and the highest point of the layer;
calculating the second water quantity W according to different types of Y 2 The formula of (2) is:
in (5)
Is a downward rounding symbol, R is the radius of the sphere corresponding to the sphere, W x And W is y Is an intermediate variable R, W set for convenient calculation x And W is y The calculation formula of (2) is as follows:
in the formulae (7) and (8), x is calculated to be W x And the set intermediate variable indicates when y=y 2 Subtracting the difference value of the lowest point height of the layer of the ball defect from the actual water level height Y; in the formulae (9) and (10), y is calculated to be W y And the set intermediate variable indicates when y=y 3 And subtracting the difference value of the circle center height of the bottom surface of the layer of the ball gap from the actual water level height Y.
The invention has the advantages that:
1. the invention is suitable for quantitatively supplying water to a high-level water tank or a low-level water tank, fully considers the situation that the water tank has the actual shape of a sphere, realizes quantitative calculation of theoretical water retention according to given retention time by finding the quantitative relation between the actual water retention and the retention time of tap water in the water tank, calculates the inlet flow by the calculated theoretical water retention, and can realize quantitative control of the retention time of tap water in the water tank by supplying water to the high-level water tank or the low-level water tank according to the calculated inlet flow. The method solves the problem of quantitative control of the residence time of the tap water in the water tank, furthest reduces the risk of exceeding the standard of microorganism indexes caused by overlong residence time of the tap water in the water tank, has little change to the existing equipment, is convenient to implement, and has low energy consumption, maintenance cost and running cost in actual running.
2. The invention provides powerful technical support for accurately controlling water supply of the water tank, and can effectively avoid the technical problem that tap water stays in the water tank for too long.
3. The invention scientifically divides the water level height into four types according to different heights, thereby respectively calculating the actual water retention quantity according to the specific types of the water level height and simplifying the calculation process.
Drawings
FIG. 1 is a schematic view of a longitudinal section of a water tank according to an embodiment of the present invention;
FIG. 2 is a schematic view of a cross section of a water tank according to an embodiment of the present invention;
marked in the figure as: 1. long side 2, short side 3, top surface 4 and bottom surface.
Detailed Description
The invention discloses a method for quantitatively supplying water to a secondary water supply water tank based on actual water retention, generally speaking, the actual water retention in the water tank comprises two parts, wherein one part is water volume without considering a spherical part and is set as first water volume; the other part is the water quantity corresponding to the part of the sphere, and the water quantity is set as a second water quantity; the sum of the first water quantity and the second water quantity is the actual reserved water quantity of the water tank. Based on the above, the scheme specifically comprises the following steps:
detecting outlet flow of the water tank in different time periods of one day continuously for a plurality of days through an outlet flowmeter, and calculating theoretical outlet flow in different time periods of one day by a control system according to the detected outlet flow after detection is completed;
calculating theoretical water retention quantity of the water tank at the starting moment of different time periods of the day under the condition of given residence time according to the theoretical outlet flow by a control system;
step three, detecting and calculating the actual reserved water quantity of the water tank in real time through a water quantity detection device, and calculating the inlet flow of the water tank in different time periods of the day by a control system according to the theoretical outlet flow, the theoretical reserved water quantity and the actual reserved water quantity;
step four, when the water tank is a low-level water tank and the water supply control equipment is an automatic valve, or when the water tank is a high-level water tank and the water supply control equipment is a common water pump; the control system sends control signal instructions whether to start water supply to the water tank or not to the water supply control equipment according to the result of the third step at the starting time of different time periods of a day, if water supply needs to be started, the specific time when the started water supply control equipment needs to be closed in the time period is calculated, the water supply control equipment is closed according to the calculation result to stop water supply, water supply in the time period is completed, and water supply in one day is completed according to the circulation;
when the water tank is a high-level water tank and the water supply control equipment is a variable-frequency water pump, the control system sends the result of the step three to the variable-frequency water pump at the starting time of different time periods of the day, and the variable-frequency water pump automatically completes the water supply of the time period according to the received inlet flow, and the water supply of the day is completed according to the circulation.
In the third step, the actual water retention amount is the sum of the first water amount of the water tank except the spherical segment and the second water amount of the water tank belonging to the spherical segment; when the water tank is calculated, the first water quantity of the water tank except the spherical segment and the second water quantity of the water tank belonging to the spherical segment are calculated respectively, and then the actual reserved water quantity of the water tank is obtained by summing the first water quantity and the second water quantity. The first water quantity is obtained by multiplying the water level height of the actual reserved water quantity by the longitudinal sectional area of the water tank without the ball. The calculation method of the second water quantity comprises the following steps: the water level of the actual water retention quantity is divided into a plurality of types according to the difference of the water level of the actual water retention quantity on the water surface, a formula for calculating the second water retention quantity is determined for each type, and then the second water retention quantity is calculated according to the corresponding calculation formula.
Specifically, the calculation method of the actual water retention amount, the first water amount and the second water amount in the water tank is as follows:
the calculation method of the actual water retention amount in the water tank comprises the following steps:
let the first water quantity be W 1 The second water quantity is W 2 The actual water retention in the water tank is W, then:
W＝W 1 +W 2 (1)
w in (1) 1 To actually retain water W without taking into account the volume of the segment 2 The volume of the part belonging to the sphere in the actual water retention W.
The first water quantity calculating method comprises the following steps:
let the water level in the water tank be Y, the actual water retention corresponding to the water level Y be W, the longitudinal section area of the water tank without the ball is S, then:
W 1 ＝Y·S (2)
w in (2) 1 The volume of the segment is not taken into consideration for the actual water retention amount W.
The calculation method of the second water quantity comprises the following steps:
the water tank is provided with n layers, and the height of each layer is H 0 Each water tank layer contains m outwards protruding spherical defects, the height of each spherical defect is set to be H, the radius of the bottom surface of each spherical defect is set to be r, the distance from the lowest position of each spherical defect to the lowest point of the water tank layer is set to be a, the water level height of the actual water retention quantity is set to be Y, the height of the actual water retention quantity on the water tank layer is set to be H, the difference value of the water level height Y minus the water level lowest point height is also represented by H, and the water level height Y is divided into the following four types according to the size of H:
mod in formula (3) is the remainder operator; y in (4) 1 The water level Y is expressed as being between the lowest point of each layer and the lowest point of the sphere defect of the layer 2 The water level Y is expressed between the lowest point of each layer of the ball defect and the circle center of the bottom surface of the ball defect 3 The water level Y is expressed as being between the center of the bottom surface of each layer of the ball gap and the highest point of the ball gap 4 The water level Y is indicated to be between the highest point of each layer of the spherical defect and the highest point of the layer;
calculating the second water quantity W according to different types of Y 2 The formula of (2) is:
in (5)
Is a downward rounding symbol, R is the radius of the sphere corresponding to the sphere, W x And W is y Is an intermediate variable R, W set for convenient calculation x And W is y The calculation formula of (2) is as follows:
in the formulae (7) and (8), x is calculated to be W x And the set intermediate variable indicates when y=y 2 Subtracting the difference value of the lowest point height of the layer of the ball defect from the actual water level height Y; in the formulae (9) and (10), y is calculated to be W y And the set intermediate variable indicates when y=y 3 And subtracting the difference value of the circle center height of the bottom surface of the layer of the ball gap from the actual water level height Y.
The invention adopts the specific technical scheme to fully consider the actual shape of the water tank, can calculate the actual reserve water quantity of the water tank according to the water level height, ensures the accuracy of the calculation result of the actual reserve water quantity in the water tank, can quantitatively control the residence time of tap water in the high-level water tank or the low-level water tank based on the actual reserve water quantity, furthest reduces the risk of exceeding the standard of microorganism indexes caused by overlong residence time of the tap water in the water tank, has little change on the prior equipment, is convenient to implement, and has low energy consumption, maintenance cost and running cost during actual running.
Based on the technical scheme, the water tank with the longitudinal section shown in fig. 1 and the cross section dimension shown in fig. 2 is further described by combining specific data, and the specific steps are as follows:
the water tank comprises a side long side 1, a side short side 2, a top surface 3 and a bottom surface 4, the length, the width and the height of the water tank are respectively 4m, 2m and 2m, and the total volume without the ball gap is 16m 3 The longitudinal section area S of the water tank without the ball is 8m 2 The water tank has 2 layers, each layer has a height H 0 Each layer of water tank is 1m, the number m of outwards protruding spherical gaps is 12, the height h of each spherical gap is 0.12m, the radius r of the bottom surface of each spherical gap is 0.4m, and the distance a from the lowest position of each spherical gap to the lowest point of the layer is 0.1m.
When the water level Y of the water tank is measured to be 0.924m at a certain moment and the actual reserved water quantity corresponding to the water level Y is set to be W, the water level Y is measured to be:
W＝W 1 +W 2 (1)
W 1 ＝Y·S＝0.924m×8m 2 ＝7.392m 3 (2)
w in (1) 1 The calculation method is shown in the formula (2) for the volume of the first water quantity which does not consider the part of the sphere in the water level height Y corresponding to the actual reserved water quantity W; w (W) 2 The water level Y corresponds to the volume of the second water quantity belonging to the segment of the actual reserve water W.
Further, the calculation method of the second water quantity is as follows:
let the height of the actual water retention volume at the layer of the water surface be H, H also represents the difference value of the water level height Y minus the lowest point height of the layer of the water surface, and the type of the water level height Y is determined according to the size of H:
because of
And is also provided with
0.924m>a+2r＝0.1m+2×0.4m＝0.9m
0.924m<H 0 ＝1m
The water level height Y belongs to the fourth type, namely:
Y＝Y 4 when a+2r<H<H 0 Time, (4)
Mod in formula (3) is the remainder operator; y in (4) 4 The water level Y is indicated to be between the highest point of each layer of the spherical defect and the highest point of the layer;
from this, the calculated second water quantity W is determined 2 The formula of (2) is:
in (5)
The whole symbol is downward, R is the radius of the sphere corresponding to the sphere, and the calculation formula of R is as follows:
substituting the value of R into formula (5) to obtain:
the second water quantity W 2 Substituting the value of (2) into the formula (1) to obtain the actual water retention W:
W＝W 1 +W 2 ＝7.392+0.3728＝7.7648m 3 。
while the invention has been described with reference to certain embodiments, it is understood that any feature disclosed in this specification may be replaced by alternative features serving the equivalent or similar purpose, unless expressly stated otherwise; all of the features disclosed, or all of the steps in a method or process, except for mutually exclusive features and/or steps, may be combined in any manner.
Claims (3)
1. A method for quantitatively supplying water to a secondary water supply tank based on an actual reserve amount of water, comprising the steps of:
detecting outlet flow of the water tank in different time periods of one day continuously for a plurality of days through an outlet flowmeter, and calculating theoretical outlet flow in different time periods of one day by a control system according to the detected outlet flow after detection is completed;
calculating theoretical water retention quantity of the water tank at the starting moment of different time periods of the day under the condition of given residence time according to the theoretical outlet flow by a control system;
step three, detecting and calculating the actual reserved water quantity of the water tank in real time through a water quantity detection device, and calculating the inlet flow of the water tank in different time periods of the day by a control system according to the theoretical outlet flow, the theoretical reserved water quantity and the actual reserved water quantity;
the actual water retention amount is the sum of the first water amount of the water tank except the spherical segment and the second water amount of the water tank belonging to the spherical segment; the second water quantity calculating method comprises the following steps: firstly, dividing the water level height of the actual water retention quantity into a plurality of types according to the difference of the water level height of the actual water retention quantity on the water surface, determining a formula for calculating the second water quantity for each type, and then calculating the second water quantity according to the corresponding calculation formula;
step four, when the water tank is a low-level water tank and the water supply control equipment is an automatic valve, or when the water tank is a high-level water tank and the water supply control equipment is a common water pump; the control system sends control signal instructions whether to start water supply to the water tank or not to the water supply control equipment according to the result of the third step at the starting time of different time periods of a day, if water supply needs to be started, the specific time when the started water supply control equipment needs to be closed in the time period is calculated, the water supply control equipment is closed according to the calculation result to stop water supply, water supply in the time period is completed, and water supply in one day is completed according to the circulation;
when the water tank is a high-level water tank and the water supply control equipment is a variable-frequency water pump, the control system sends the result of the step three to the variable-frequency water pump at the starting time of different time periods of a day, and the variable-frequency water pump automatically completes water supply of the time period according to the received inlet flow, and the water supply of a day is completed according to the circulation;
in the third step, the calculation method of the actual water retention in the water tank comprises the following steps:
let the first water quantity be W 1 The second water quantity is W 2 The actual water retention in the water tank is W, then:
W＝W 1 +W 2 (1) W in (1) 1 To actually retain water W without taking into account the volume of the segment 2 The volume of the part belonging to the sphere in the actual water retention W;
the calculation method of the second water quantity comprises the following steps:
the water tank is provided with n layers, and the height of each layer is H 0 Wherein H is 0 Each water tank contains m outwardly protruding spherical segments, the height of each spherical segment is H, the radius of the bottom surface of each spherical segment is r, the distance from the lowest position of each spherical segment to the lowest point of the water tank is a, the height of the water level of the actual water retention volume is Y, the height of the water level of the actual water retention volume on the water tank is H, and H also represents the difference value of the height of the water level Y minus the height of the lowest point of the water tank on the water level, and the height of the water level Y is divided into the following four types according to the size of H:
mod in formula (3) is the remainder operator; y in (4) 1 Indicating that the water level Y is between the lowest point of each layer and the lowest point of the sphere defect of the layerBetween Y 2 The water level Y is expressed between the lowest point of each layer of the ball defect and the circle center of the bottom surface of the ball defect 3 The water level Y is expressed as being between the center of the bottom surface of each layer of the ball gap and the highest point of the ball gap 4 The water level Y is indicated to be between the highest point of each layer of the spherical defect and the highest point of the layer;
calculating the second water quantity W according to different types of Y 2 The formula of (2) is:
in (5)
Is a downward rounding symbol, R is the radius of the sphere corresponding to the sphere, W + And W is y Is an intermediate variable set for convenient calculation, wherein the value range of Y is the same as that of formula (4), R, W + And W is y The calculation formula of (2) is as follows:
in the formulae (7) and (8), x is calculated to be W x And the set intermediate variable indicates when y=y 2 Subtracting the difference value of the lowest point height of the layer of the ball defect from the actual water level height Y; in the formulae (9) and (10), y is calculated to be W y And the set intermediate variable indicates when y=y 3 And subtracting the difference value of the circle center height of the bottom surface of the layer of the ball gap from the actual water level height Y.
2. The method for quantitatively supplying water to a secondary water supply tank based on the actual reserve water amount according to claim 1, wherein: the first water quantity is obtained by multiplying the water level height of the actual reserved water quantity by the longitudinal sectional area of the water tank without the ball.
3. The method for quantitatively supplying water to a secondary water supply tank based on the actual reserve water amount according to claim 2, wherein: the first water quantity calculating method comprises the following steps:
let the water level in the water tank be Y, the actual water retention corresponding to the water level Y be W, the longitudinal section area of the water tank without the ball is S, then:
W 1 =y·s (2) W in formula (2) 1 The volume of the segment is not taken into consideration for the actual water retention amount W.
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