CN116822252A - Quick determination method for water energy parameters of pumped storage power station - Google Patents
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Abstract
A quick determination method for water energy parameters of a pumped storage power station relates to the field of pumped storage power station engineering. The invention establishes functions such as reservoir capacity, dam engineering quantity and the like through selecting axes under three balance conditions of pumping ratio, reservoir capacity and filling, directly locks the thought of optimal solution through simultaneous five-element quadratic equation, and can respectively perform reservoir dam design of an upper reservoir and a lower reservoir after main hydroenergy parameters are obtained, and subsequent work is completely the same as that of a conventional design method. The thought and the method for directly locking the optimal solution by using the simultaneous five-element quadratic equation can furthest lighten the design and calculation workload of designers, and solve the problems that the traditional design method has huge trial calculation workload and can not track the optimal solution and only obtain a relatively optimal solution.
Description
Technical Field
The invention relates to the field of pumped storage power station engineering, in particular to a method for quickly determining water energy parameters of a pumped storage power station under three balance conditions of pumping ratio, storage capacity and digging and filling.
Background
With the coming development of pumped storage power station projects, the method is a challenge for efficiency, quality and digital application, and the traditional productivity and production relationship are difficult to adapt to the current situation. Currently, the water and electricity engineering construction of China basically forms a construction pattern of mechanization, informatization and digitalization as main bodies, and along with the rapid development of modern information technologies, data technologies and sensing technologies such as cloud computing, big data, the Internet of things and artificial intelligence, the development of the modern information technologies, data technologies and sensing technologies is advancing towards the intelligent direction. In the engineering construction of the pumped storage power station in China, the intelligent design technology is becoming more and more widely applied.
At present, compared with the traditional hydropower station, the pumped storage power station has the following characteristics:
(1) The function of the pumped storage power station determines that an upper reservoir and a lower reservoir are required to be provided at the same time, the upper reservoir and the lower reservoir are dynamically associated through a series of hydroenergy parameters, and the upper reservoir and the lower reservoir are closely associated with the design of a water delivery power generation building and electromechanical equipment;
(2) The upper and lower reservoirs of the pumped storage power station are generally small and medium-sized reservoirs, and the storage capacity requirement is not large; the upper reservoir is built in mountain top depressions and river ditches, the natural reservoir capacity is small, the reservoir is generally required to be excavated and expanded, the excavated materials can be used as dam body filling materials while the reservoir capacity is increased, and the engineering investment can be reduced to the greatest extent.
The characteristics determine that the design work of the upper and lower libraries is more complex and difficult compared with the conventional hydropower station. The main appearance is that:
(1) The main water energy design parameters of the pumped storage power station are more in quantity and are dynamically associated, and in general, three basic conditions of pumping ratio limiting conditions, reservoir capacity adjustment, digging and filling balance and the like are required to be met at the same time, so that the pumped storage power station is most economical and reasonable. However, three basic conditions relate to a plurality of major professions such as power planning, hydrological sediment, geology, water conservancy, construction and the like, and the difficulty of professional coordination is extremely high;
(2) Finding a group of hydroenergy parameters which can simultaneously meet the limit of the pumping ratio, adjust the storage capacity requirement and realize basic balance of excavation and filling, generally adopting a trial calculation method, having larger trial calculation workload and being difficult to find accurate results;
(3) The pumped storage power station has larger selection range of the dam addresses and the dam lines, the number of the dam addresses, the dam lines and the dam shape excavation schemes can be selected in general, main water energy parameters are determined after economic and technical comparison, the number of the combination schemes for each comparison is the product of the upper and lower banks and the dam shape, the design and calculation engineering amount is huge, and the scheme screening is very difficult.
Disclosure of Invention
The invention aims to solve the problems of the design of the pumped storage power station and provides a rapid determination method of the water energy parameters of the pumped storage power station based on three balance conditions of pumping ratio, storage capacity and digging and filling.
The invention relates to a rapid determination method of water energy parameters of a pumped storage power station, which is based on three balance conditions of pumping ratio, storage capacity and excavation filling amount, and is characterized by comprising the following steps:
s1, determining parameters of a dam body section shape and a reservoir shape excavation shape according to reservoir addresses of selected upper reservoirs and lower reservoirs and topography and geology conditions of dam axes and experience of design engineers and operation requirements of a pumped storage power station;
s2, setting the natural warehouse capacity of the warehouse as𝑢𝑅(𝑍 𝑢 )The natural stock capacity of the lower stock isd𝑅(𝑍 d )The normal water level in the upper warehouse is recorded asZ u1 The upper dead water level is recorded asZ u2 The normal water storage level in the lower warehouse is recorded asZ d1 The dead water level in the lower warehouse is recorded asZ d2 Then𝑢𝑅(𝑍 𝑢1 )For normal warehouse-upThe natural storage capacity corresponding to the water storage level,𝑢𝑅(𝑍 𝑢2 )for the natural storage capacity corresponding to the upper storage dead water level,d𝑅(𝑍 d1 )for the natural reservoir capacity corresponding to the normal reservoir level of the lower reservoir,d𝑅(𝑍 d2 )the natural storage capacity corresponding to the lower dead water level is obtained;
s3, setting the filling engineering quantity of the upper reservoir dam as𝑢𝐵𝑉(𝑍 𝑢1 +Δ𝐻)The filling engineering quantity of the lower dam isd𝐵𝑉 (𝑍 d1 +Δ𝐻)The upper reservoir dam occupies a reservoir capacity of𝑢𝑀𝑅(𝑍 𝑢2 ,𝑍 𝑢1 +Δ𝐻）The lower dam occupies a warehouse with the capacity ofd𝑀 𝑅(𝑍 d2 ,𝑍 d1 +Δ𝐻）；
S4, setting the project amount of the warehouse-on excavation as𝑢𝐸𝑉(𝑍 𝑢2 )，The project amount of the warehouse-down excavation isd𝐸𝑉(𝑍 d2 )The amount of the excavation and the expansion of the upper warehouse is𝑢𝐴𝑅(𝑍 𝑢1 ,𝑍 𝑢2 )The amount of the excavation and the expansion of the warehouse is thatd𝐴𝑅(𝑍 d1 ,𝑍 d2 )；
S5, setting the adjustment warehouse capacity as the adjustment warehouse capacity required by the warehouse-up and the warehouse-downreqR(Z u1 ，Z u2 ，Z d1 ，Z d2 )；
S6, respectively establishing the following equations through pumping ratio limiting conditions, storage capacity and excavation and filling balance conditions of the pumped storage power station:
equation 1: pumping ratio limiting conditions: pumping ratio = allowable value
；
In the method, in the process of the invention,ℎ 𝑐 the water head loss when pumping water for the power station,ℎ 𝑓 is the head loss during the power generation of the power station,μis a drawerAn allowable value of the transmission ratio;
equation 2: and (5) warehouse loading and warehouse capacity adjustment: go up to be listed in the storehouse and hold + go up to excavate and expand storehouse volume-go up to fill up the storehouse dam and encroach on the storehouse capacity = adjust the storehouse capacity
𝑢𝑅(𝑍 𝑢1 )−𝑢𝑅(𝑍 𝑢2 )+𝑢𝐴𝑅(𝑍 𝑢1 ,𝑍 𝑢2 )−𝑢𝑀𝑅(𝑍 𝑢2 ,𝑍 𝑢1 +Δ𝐻）=𝑟𝑒𝑞𝑅(𝑍 𝑢1 ,𝑍 𝑢2 ,𝑍 d1 ,𝑍 d2 )；
The Shangku Xingli reservoir capacity is a reservoir capacity difference value between the normal reservoir level of the Shangku and the dead water level of the Shangku;
equation 3: and (5) warehouse capacity is adjusted in a warehouse: discharging from the warehouse to promote the storehouse capacity + discharging from the warehouse to excavate and expand storehouse volume-discharging from the warehouse dam to encroach on the storehouse capacity = adjust the storehouse capacity
d𝑅(𝑍 d1 )−d𝑅(𝑍 d2 )+d𝐴𝑅(𝑍 d1 ,𝑍 d2 )−d𝑀𝑅(𝑍 d2 ,𝑍 d1 +Δ𝐻）=𝑟𝑒𝑞𝑅(𝑍 𝑢1 ,𝑍 𝑢2 ,𝑍 d1 ,𝑍 d2 )；
The storage capacity of the lower storage is the storage capacity difference between the normal water storage level of the lower storage and the dead water level of the lower storage;
equation 4: dam filling amount of upper reservoir = upper reservoir excavation amount of materials and upper reservoir hole excavation and filling amount
𝑢𝐵𝑉(𝑍 𝑢1 +Δ𝐻)×ξ 𝑢 =𝑢𝐸𝑉(𝑍 𝑢2 )×η 𝑢 +𝑢𝑇𝑉；
In the method, in the process of the invention,𝑢𝑇𝑉fill the upper warehouse hole with the amount of xi 𝑢 Filling compaction coefficients for the upper reservoir dam body, wherein the product of the upper reservoir dam filling engineering quantity and the upper reservoir dam body filling compaction coefficients is the upper reservoir dam filling quantity,η 𝑢 the method comprises the steps that a material excavation amount coefficient is reserved for the upper warehouse, the product of the upper warehouse excavation engineering amount and the material excavation amount coefficient is reserved for the upper warehouse, and the filling amount of a dam of the upper warehouse is natural;
equation 5: dam filling amount of lower warehouse = excavation amount of lower warehouse materials + excavation and filling amount of lower warehouse holes
d𝐵𝑉(𝑍 d1 +Δ𝐻)×ξ d =d𝐸𝑉(𝑍 d2 )×η d +d𝑇𝑉；
In the method, in the process of the invention,dTVzeta for digging and filling up lower warehouse hole d Filling compaction coefficients for the lower reservoir dam, wherein the product of the lower reservoir dam filling engineering quantity and the lower reservoir dam filling compaction coefficients is the lower reservoir dam filling quantity,η d the method comprises the steps that a material excavation amount coefficient is reserved for a lower warehouse, the product of the excavation engineering amount of the lower warehouse and the material excavation amount coefficient is reserved for the lower warehouse, and the filling amount of a dam of the lower warehouse is natural;
s7, solving the equation set, wherein the solving process is as follows:
s7-1: setting an initial value of a normal water storage level of the upper reservoir according to dam construction requirements, and building a dam filling three-dimensional model according to dam top elevation, dam body shape and topography parameters to obtain a filling quantity of the upper reservoir dam;
s7-2: solving the upper reservoir dead water level through equation 4 and the upper reservoir dam filling amount;
s7-3: obtaining the adjusted reservoir capacity of the reservoir through equation 2 according to the initial value of the normal reservoir water level and the dead water level of the reservoir;
s7-4: according to the set initial value of the upper reservoir normal water storage level, the upper reservoir dead water level obtained in S7-2 is obtained through equation 1, and a relational expression of the lower reservoir normal water storage level and the lower reservoir dead water level is obtained;
s7-5: according to the relation between the normal water storage level and the dead water level of the lower reservoir obtained in the step S7-4, the normal water storage level and the dead water level of the lower reservoir are obtained by combining the equation 5;
s7-6: carrying out initial values of the upper warehouse dead water level, the lower warehouse normal water storage level and the lower warehouse dead water level which are obtained in S7-2 to S7-5 and the set upper warehouse normal water storage level, and when the initial values meet the equation 3 and the equation 4, obtaining the upper warehouse characteristic water level and the lower warehouse characteristic water level; when equation 3 and equation 4 are not satisfied, entering the next process;
s7-7: when the equation 3 and the equation 4 are not satisfied in the S7-6, setting a second initial value of the normal water storage level of the upper reservoir by adopting a dichotomy, repeating the steps from S7-1 to S7-6, and if the initial value is still not satisfied, setting a third initial value of the normal water storage level of the upper reservoir, and performing iterative calculation until a solution satisfying the equation 3 and the equation 4 is obtained;
s8, when the iteration of the equation set is not converged and no solution exists, the energy storage capacity is exceeded, the dam body type parameters and the dam axis are adjusted, and then the calculation is carried out again according to the steps S7-1 to S7-7;
s9, further checking the design of the reservoir dam, the reservoir capacity and the pumping ratio according to the obtained characteristic water level parameters, and satisfying the equations 4 and 5, so that the kinetic energy parameters, the dam shape parameters, the engineering quantity parameters and the design parameters of the scheme comparable investment of the pumped storage power station can be determined simultaneously.
According to the rapid determination method of the water energy parameters of the pumped storage power station, through setting a reasonable water storage initial value of the upper reservoir dam, main water energy parameters of the upper reservoir and the lower reservoir can be obtained through an equation set, then reservoir dam designs of the upper reservoir and the lower reservoir can be respectively carried out, and the subsequent work is identical to that of a conventional design method; the method has the advantages that the rationality of the parameters is rapidly solved and verified through the simultaneous five-element quadratic equation, the thought and the method for directly locking the optimal solution are realized, the optimal matching scheme of the parameters is obtained through establishing the relevance among the parameters and utilizing the iterative solving mode of the equation set, a group of hydroenergy parameters which can simultaneously meet the limit of the pumping ratio, adjust the storage capacity requirement and fill out basic balance are obtained, the design calculation workload of designers is greatly reduced, and the pain difficulty that the traditional design method has huge trial calculation workload and can not track the optimal solution only can be obtained relatively.
Drawings
FIG. 1 is a flow chart of a method for determining water energy parameters of a pumped-storage power station of the invention.
FIG. 2 is a schematic diagram of a pumped storage power station fill balance.
Detailed Description
Example 1: a quick determination method for water energy parameters of a pumped storage power station is based on three balance conditions of pumping ratio, storage capacity and excavation filling amount, and comprises the following steps:
s1, determining parameters of a dam body section shape and a reservoir shape excavation shape according to reservoir addresses of selected upper reservoirs and lower reservoirs and topography and geology conditions of dam axes and experience of design engineers and operation requirements of a pumped storage power station;
s2, setting up natural warehouse capacityIs that𝑢𝑅(𝑍 𝑢 )The natural stock capacity of the lower stock isd𝑅(𝑍 d )The normal water level in the upper warehouse is recorded asZ u1 The upper dead water level is recorded asZ u2 The normal water storage level in the lower warehouse is recorded asZ d1 The dead water level in the lower warehouse is recorded asZ d2 Then𝑢𝑅(𝑍 𝑢1 )Is the natural reservoir capacity corresponding to the normal reservoir level of the upper reservoir,𝑢𝑅(𝑍 𝑢2 )for the natural storage capacity corresponding to the upper storage dead water level,d𝑅(𝑍 d1 )for the natural reservoir capacity corresponding to the normal reservoir level of the lower reservoir,d𝑅(𝑍 d2 )the natural storage capacity corresponding to the lower dead water level is obtained;
s3, setting the filling engineering quantity of the upper reservoir dam as𝑢𝐵𝑉(𝑍 𝑢1 +Δ𝐻)The filling engineering quantity of the lower dam isd𝐵𝑉 (𝑍 d1 +Δ𝐻)The upper reservoir dam occupies a reservoir capacity of𝑢𝑀𝑅(𝑍 𝑢2 ,𝑍 𝑢1 +Δ𝐻）The lower dam occupies a warehouse with the capacity ofd𝑀 𝑅(𝑍 d2 ,𝑍 d1 +Δ𝐻）；
S4, setting the project amount of the warehouse-on excavation as𝑢𝐸𝑉(𝑍 𝑢2 )，The project amount of the warehouse-down excavation isd𝐸𝑉(𝑍 d2 )The amount of the excavation and the expansion of the upper warehouse is𝑢𝐴𝑅(𝑍 𝑢1 ,𝑍 𝑢2 )The amount of the excavation and the expansion of the warehouse is thatd𝐴𝑅(𝑍 d1 ,𝑍 d2 )；
S5, setting the adjustment warehouse capacity as the adjustment warehouse capacity required by the warehouse-up and the warehouse-downreqR(Z u1 ，Z u2 ，Z d1 ，Z d2 )；
S6, respectively establishing the following equations through pumping ratio limiting conditions, storage capacity and excavation and filling balance conditions of the pumped storage power station:
equation 1: pumping ratio limiting conditions: pumping ratio = allowable value
；
In the method, in the process of the invention,ℎ 𝑐 the water head loss when pumping water for the power station,ℎ 𝑓 is the head loss during the power generation of the power station,μis the allowable value of the extraction ratio;
equation 2: and (5) warehouse loading and warehouse capacity adjustment: go up to be listed in the storehouse and hold + go up to excavate and expand storehouse volume-go up to fill up the storehouse dam and encroach on the storehouse capacity = adjust the storehouse capacity
𝑢𝑅(𝑍 𝑢1 )−𝑢𝑅(𝑍 𝑢2 )+𝑢𝐴𝑅(𝑍 𝑢1 ,𝑍 𝑢2 )−𝑢𝑀𝑅(𝑍 𝑢2 ,𝑍 𝑢1 +Δ𝐻）=𝑟𝑒𝑞𝑅(𝑍 𝑢1 ,𝑍 𝑢2 ,𝑍 d1 ,𝑍 d2 )；
The Shangku Xingli reservoir capacity is a reservoir capacity difference value between the normal reservoir level of the Shangku and the dead water level of the Shangku;
equation 3: and (5) warehouse capacity is adjusted in a warehouse: discharging from the warehouse to promote the storehouse capacity + discharging from the warehouse to excavate and expand storehouse volume-discharging from the warehouse dam to encroach on the storehouse capacity = adjust the storehouse capacity
d𝑅(𝑍 d1 )−d𝑅(𝑍 d2 )+d𝐴𝑅(𝑍 d1 ,𝑍 d2 )−d𝑀𝑅(𝑍 d2 ,𝑍 d1 +Δ𝐻）=𝑟𝑒𝑞𝑅(𝑍 𝑢1 ,𝑍 𝑢2 ,𝑍 d1 ,𝑍 d2 )；
The storage capacity of the lower storage is the storage capacity difference between the normal water storage level of the lower storage and the dead water level of the lower storage;
equation 4: dam filling amount of upper reservoir = upper reservoir excavation amount of materials and upper reservoir hole excavation and filling amount
𝑢𝐵𝑉(𝑍 𝑢1 +Δ𝐻)×ξ 𝑢 =𝑢𝐸𝑉(𝑍 𝑢2 )×η 𝑢 +𝑢𝑇𝑉；
In the method, in the process of the invention,𝑢𝑇𝑉fill the upper warehouse hole with the amount of xi 𝑢 Filling compaction coefficients for the upper reservoir dam, and multiplying the upper reservoir dam filling engineering quantity by the upper reservoir dam filling compaction coefficientsThe product is the filling amount of the upper reservoir dam,η 𝑢 the method comprises the steps that a material excavation amount coefficient is reserved for the upper warehouse, the product of the upper warehouse excavation engineering amount and the material excavation amount coefficient is reserved for the upper warehouse, and the filling amount of a dam of the upper warehouse is natural;
equation 5: dam filling amount of lower warehouse = excavation amount of lower warehouse materials + excavation and filling amount of lower warehouse holes
d𝐵𝑉(𝑍 d1 +Δ𝐻)×ξ d =d𝐸𝑉(𝑍 d2 )×η d +d𝑇𝑉；
In the method, in the process of the invention,dTVzeta for digging and filling up lower warehouse hole d Filling compaction coefficients for the lower reservoir dam, wherein the product of the lower reservoir dam filling engineering quantity and the lower reservoir dam filling compaction coefficients is the lower reservoir dam filling quantity,η d the method comprises the steps that a material excavation amount coefficient is reserved for a lower warehouse, the product of the excavation engineering amount of the lower warehouse and the material excavation amount coefficient is reserved for the lower warehouse, and the filling amount of a dam of the lower warehouse is natural;
s7, solving the equation set, wherein the solving process is as follows:
s7-1: setting an initial value of a normal water storage level of the upper reservoir according to dam construction requirements, and building a dam filling three-dimensional model according to dam top elevation, dam body shape and topography parameters to obtain a filling quantity of the upper reservoir dam;
s7-2: solving the upper reservoir dead water level through equation 4 and the upper reservoir dam filling amount;
s7-3: obtaining the adjusted reservoir capacity of the reservoir through equation 2 according to the initial value of the normal reservoir water level and the dead water level of the reservoir;
s7-4: according to the set initial value of the upper reservoir normal water storage level, the upper reservoir dead water level obtained in S7-2 is obtained through equation 1, and a relational expression of the lower reservoir normal water storage level and the lower reservoir dead water level is obtained;
s7-5: according to the relation between the normal water storage level and the dead water level of the lower reservoir obtained in the step S7-4, the normal water storage level and the dead water level of the lower reservoir are obtained by combining the equation 5;
s7-6: carrying out initial values of the upper warehouse dead water level, the lower warehouse normal water storage level and the lower warehouse dead water level which are obtained in S7-2 to S7-5 and the set upper warehouse normal water storage level, and when the initial values meet the equation 3 and the equation 4, obtaining the upper warehouse characteristic water level and the lower warehouse characteristic water level; when equation 3 and equation 4 are not satisfied, entering the next process;
s7-7: when the equation 3 and the equation 4 are not satisfied in the S7-6, setting a second initial value of the normal water storage level of the upper reservoir by adopting a dichotomy, repeating the steps from S7-1 to S7-6, and if the initial value is still not satisfied, setting a third initial value of the normal water storage level of the upper reservoir, and performing iterative calculation until a solution satisfying the equation 3 and the equation 4 is obtained;
s8, when the iteration of the equation set is not converged and no solution exists, the energy storage capacity is exceeded, the dam body type parameters and the dam axis are adjusted, and then the calculation is carried out again according to the steps S7-1 to S7-7;
s9, further checking the design of the reservoir dam, the reservoir capacity and the pumping ratio according to the obtained characteristic water level parameters, and satisfying the equations 4 and 5, so that the kinetic energy parameters, the dam shape parameters, the engineering quantity parameters and the design parameters of the scheme comparable investment of the pumped storage power station can be determined simultaneously.
In the method, the set parameters are as follows:
(1) Natural storage capacity parameters of upper and lower libraries:𝑢𝑅(𝑍 𝑢 ) And d𝑅(𝑍 d )；
(2) And (3) adjusting the storage capacity:reqR(Z u1 ,Z u2 ,Z d1 ,Z d2 )；
(3) Dam filling engineering amount: go up storehouse𝑢𝐵𝑉(𝑍 𝑢1 +Δ𝐻) And lower library d𝐵𝑉(𝑍 d1 +Δ𝐻)；
(4) And (3) excavating engineering quantity in a reservoir area: go up storehouse𝑢𝐸𝑉(𝑍 𝑢2 ) And lower library d𝐸𝑉(𝑍 d2 )；
(5) Excavation and library expansion amount: go up storehouse𝑢𝐴𝑅(𝑍 𝑢1 ,𝑍 𝑢2 ) And lower library d𝐴𝑅(𝑍 d1 ,𝑍 d2 )；
(6) Dam body encroaches on the reservoir capacity:go up storehouse𝑢𝑀𝑅(𝑍 𝑢2 ,𝑍 𝑢1 +Δ𝐻）And go down the warehoused𝑀𝑅(𝑍 d2 ,𝑍 d1 +Δ 𝐻）；
Eleven functions in total, the function characteristics and the application rules are as follows:
(1) The natural reservoir capacity parameter is fixed and constant for the selected reservoir address and dam line, and is equivalent to a constant;
(2) The storage capacity is regulated as a mathematical function, the size of the storage capacity depends on the energy storage capacity and the rated water head, the energy storage capacity is a fixed value under the given conditions of the installed capacity and the full-time hour, and the rated water head is changed along with the change of the water level and is a dependent variable;
(3) The dam filling engineering quantity and the dam body occupying the reservoir capacity can not change the curve for the selected dam axis and the dam body section, and the curve is equivalent to a constant;
(4) The method comprises the steps of excavating engineering quantity of a reservoir area and excavating and expanding the reservoir quantity, wherein different engineering quantity curves and reservoir capacity curves are arranged for different reservoir area excavation schemes, namely, different characteristic water levels are corresponding, and the characteristic water levels and the reservoir shape excavation schemes have a one-to-one correspondence;
(5) The excavation scheme of the reservoir area is changed, and the main influencing factors are the topography condition and geological condition of the reservoir area, the excavation range, the excavation size, the excavation slope height, the excavation slope stability and the like; therefore, the direct influencing factor of the water level is the reservoir excavation scheme, and the comparison of the water level is the comparison of the reservoir excavation scheme;
(6) The pumping ratio determines the body type for adjusting the storage capacity, and the thin height or the flatness; the storage capacity balance determines the size of the storage capacity; the digging and filling balance determines the position for adjusting the storage capacity;
(7) The eleven functions are monotonic functions, so that the equation set is the only determined solution under the condition of solution, and the storable energy is larger under the condition of no solution, and the storable energy value needs to be adjusted;
(8) Adjusting the storage capacity, and also being a function of the storable energy; when the storable energy is smaller, the equation set is obviously easy to satisfy, but when the storable energy is larger, the solution satisfying the equation set is not necessarily found, so that a maximum value of the storable energy is necessarily existed, the maximum value reflects the advantages and disadvantages of ten curves to determine the warehouse forming condition in a concentrated way, and the larger the maximum value is, the better the warehouse forming condition is; under the condition of given installed capacity, a maximum value of a full-time hour number exists correspondingly, and the maximum value of the hour number also intensively reflects the warehouse forming condition determined by ten curves; when the energy storage capacity is extremely small, the water pumping energy storage power station is not suitable to be built, and the water pumping energy storage power station is eliminated in the site selection process, so that the situation of extremely small energy storage capacity can be not considered;
(9) For different upper and lower library forming types, the parameters and the equation set structure are flexibly adjusted according to the library forming characteristics, and the calculation method can be applied.
Claims (1)
1. A quick determination method for water energy parameters of a pumped storage power station is based on three balance conditions of pumping ratio, storage capacity and excavation filling amount, and is characterized by comprising the following steps:
s1, determining parameters of a dam body section shape and a reservoir shape excavation shape according to reservoir addresses of selected upper reservoirs and lower reservoirs and topography and geology conditions of dam axes and experience of design engineers and operation requirements of a pumped storage power station;
s2, setting the natural warehouse capacity of the warehouse as𝑢𝑅(𝑍 𝑢 )The natural stock capacity of the lower stock isd𝑅(𝑍 d )The normal water level in the upper warehouse is recorded asZ u1 The upper dead water level is recorded asZ u2 The normal water storage level in the lower warehouse is recorded asZ d1 The dead water level in the lower warehouse is recorded asZ d2 Then𝑢𝑅(𝑍 𝑢1 )Is the natural reservoir capacity corresponding to the normal reservoir level of the upper reservoir,𝑢𝑅(𝑍 𝑢2 )for the natural storage capacity corresponding to the upper storage dead water level,d𝑅(𝑍 d1 )for the natural reservoir capacity corresponding to the normal reservoir level of the lower reservoir,d𝑅(𝑍 d2 )the natural storage capacity corresponding to the lower dead water level is obtained;
s3, setting the filling engineering quantity of the upper reservoir dam as𝑢𝐵𝑉(𝑍 𝑢1 +Δ𝐻)The filling engineering quantity of the lower dam isd𝐵𝑉(𝑍 d1 +Δ𝐻)The upper reservoir dam occupies a reservoir capacity of𝑢𝑀𝑅(𝑍 𝑢2 ,𝑍 𝑢1 +Δ𝐻）The lower dam occupies a warehouse with the capacity ofd𝑀𝑅 (𝑍 d2 ,𝑍 d1 +Δ𝐻）；
S4, setting the project amount of the warehouse-on excavation as𝑢𝐸𝑉(𝑍 𝑢2 )，The project amount of the warehouse-down excavation isd𝐸𝑉(𝑍 d2 )The amount of the excavation and the expansion of the upper warehouse is𝑢𝐴𝑅(𝑍 𝑢1 ,𝑍 𝑢2 )The amount of the excavation and the expansion of the warehouse is thatd𝐴𝑅(𝑍 d1 ,𝑍 d2 )；
S5, setting the adjustment warehouse capacity as the adjustment warehouse capacity required by the warehouse-up and the warehouse-downreqR(Z u1 ，Z u2 ，Z d1 ，Z d2 )；
S6, respectively establishing the following equations through pumping ratio limiting conditions, storage capacity and excavation and filling balance conditions of the pumped storage power station:
equation 1: pumping ratio limiting conditions: pumping ratio = allowable value
；
In the method, in the process of the invention,ℎ 𝑐 the water head loss when pumping water for the power station,ℎ 𝑓 is the head loss during the power generation of the power station,μis the allowable value of the extraction ratio;
equation 2: and (5) warehouse loading and warehouse capacity adjustment: go up to be listed in the storehouse and hold + go up to excavate and expand storehouse volume-go up to fill up the storehouse dam and encroach on the storehouse capacity = adjust the storehouse capacity
𝑢𝑅(𝑍 𝑢1 )−𝑢𝑅(𝑍 𝑢2 )+𝑢𝐴𝑅(𝑍 𝑢1 ,𝑍 𝑢2 )−𝑢𝑀𝑅(𝑍 𝑢2 ,𝑍 𝑢1 +Δ𝐻）=𝑟𝑒𝑞𝑅(𝑍 𝑢1 ,𝑍 𝑢2 ,𝑍 d1 ,𝑍 d2 )；
The Shangku Xingli reservoir capacity is a reservoir capacity difference value between the normal reservoir level of the Shangku and the dead water level of the Shangku;
equation 3: and (5) warehouse capacity is adjusted in a warehouse: discharging from the warehouse to promote the storehouse capacity + discharging from the warehouse to excavate and expand storehouse volume-discharging from the warehouse dam to encroach on the storehouse capacity = adjust the storehouse capacity
d𝑅(𝑍 d1 )−d𝑅(𝑍 d2 )+d𝐴𝑅(𝑍 d1 ,𝑍 d2 )−d𝑀𝑅(𝑍 d2 ,𝑍 d1 +Δ𝐻）=𝑟𝑒𝑞𝑅(𝑍 𝑢1 ,𝑍 𝑢2 ,𝑍 d1 ,𝑍 d2 )；
Equation 4: dam filling amount of upper reservoir = upper reservoir excavation amount of materials and upper reservoir hole excavation and filling amount
𝑢𝐵𝑉(𝑍 𝑢1 +Δ𝐻)×ξ 𝑢 =𝑢𝐸𝑉(𝑍 𝑢2 )×η 𝑢 +𝑢𝑇𝑉；
In the method, in the process of the invention,𝑢𝑇𝑉fill the upper warehouse hole with the amount of xi 𝑢 Filling compaction coefficients for the upper reservoir dam body, wherein the product of the upper reservoir dam filling engineering quantity and the upper reservoir dam body filling compaction coefficients is the upper reservoir dam filling quantity,η 𝑢 the method comprises the steps that a material excavation amount coefficient is reserved for the upper warehouse, the product of the upper warehouse excavation engineering amount and the material excavation amount coefficient is reserved for the upper warehouse, and the filling amount of a dam of the upper warehouse is natural;
equation 5: dam filling amount of lower warehouse = excavation amount of lower warehouse materials + excavation and filling amount of lower warehouse holes
d𝐵𝑉(𝑍 d1 +Δ𝐻)×ξ d =d𝐸𝑉(𝑍 d2 )×η d +d𝑇𝑉；
In the method, in the process of the invention,dTVzeta for digging and filling up lower warehouse hole d Filling compaction coefficients for the lower reservoir dam, wherein the product of the lower reservoir dam filling engineering quantity and the lower reservoir dam filling compaction coefficients is the lower reservoir dam filling quantity,η d the method comprises the steps that a material excavation amount coefficient is reserved for a lower warehouse, the product of the excavation engineering amount of the lower warehouse and the material excavation amount coefficient is reserved for the lower warehouse, and the filling amount of a dam of the lower warehouse is natural;
s7, solving the equation set, wherein the solving process is as follows:
s7-1: setting an initial value of a normal water storage level of the upper reservoir according to dam construction requirements, and building a dam filling three-dimensional model according to dam top elevation, dam body shape and topography parameters to obtain a filling quantity of the upper reservoir dam;
s7-2: solving the upper reservoir dead water level through equation 4 and the upper reservoir dam filling amount;
s7-3: obtaining the adjusted reservoir capacity of the reservoir through equation 2 according to the initial value of the normal reservoir water level and the dead water level of the reservoir;
s7-4: according to the set initial value of the upper reservoir normal water storage level, the upper reservoir dead water level obtained in S7-2 is obtained through equation 1, and a relational expression of the lower reservoir normal water storage level and the lower reservoir dead water level is obtained;
s7-5: according to the relation between the normal water storage level and the dead water level of the lower reservoir obtained in the step S7-4, the normal water storage level and the dead water level of the lower reservoir are obtained by combining the equation 5;
s7-6: carrying out initial values of the upper warehouse dead water level, the lower warehouse normal water storage level and the lower warehouse dead water level which are obtained in S7-2 to S7-5 and the set upper warehouse normal water storage level, and when the initial values meet the equation 3 and the equation 4, obtaining the upper warehouse characteristic water level and the lower warehouse characteristic water level; when equation 3 and equation 4 are not satisfied, entering the next process;
s7-7: when the equation 3 and the equation 4 are not satisfied in the S7-6, setting a second initial value of the normal water storage level of the upper reservoir by adopting a dichotomy, repeating the steps from S7-1 to S7-6, and if the initial value is still not satisfied, setting a third initial value of the normal water storage level of the upper reservoir, and performing iterative calculation until a solution satisfying the equation 3 and the equation 4 is obtained;
s8, when the iteration of the equation set is not converged and no solution exists, the energy storage capacity is exceeded, the dam body type parameters and the dam axis are adjusted, and then the calculation is carried out again according to the steps S7-1 to S7-7;
s9, further checking the design of the reservoir dam, the reservoir capacity and the pumping ratio according to the obtained characteristic water level parameters, and satisfying the equations 4 and 5, so that the kinetic energy parameters, the dam shape parameters, the engineering quantity parameters and the design parameters of the scheme comparable investment of the pumped storage power station can be determined simultaneously.
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