CN113158286A - Pumped storage power station water energy parameter calculation method based on maximum scale criterion - Google Patents
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Abstract
The invention provides a pumped storage power station water energy parameter calculation method based on a maximum scale criterion, which comprises the following steps: acquiring basic information of a planning power station; establishing a pumped storage power station water energy parameter optimization mathematical model containing a maximum scale criterion objective function and constraint conditions; performing iterative solution on the established water energy parameter optimization mathematical model of the pumped storage power station; and (5) finishing and outputting the water energy parameter calculation result. The invention can calculate and obtain the maximum installation scale and other related water energy parameters which can be realized according to the related restriction conditions of the development and construction of the pumped storage power station, objectively reflects the resource conditions of the pumped storage station site, obviously improves the work efficiency of calculating the water energy parameters, and can be widely applied to the work of general survey, planning and the like of the pumped storage power station in China.
Description
Technical Field
The invention relates to a pumped storage power station water energy parameter calculation method based on a maximum scale criterion.
Background
The pumped storage has the characteristics of flexible operation, quick start and strong load tracking capability, and can be operated in combination with new energy, so that the utilization rate of new energy resources can be obviously improved, and the conditions of wind and light abandonment can be effectively relieved; the system is matched with nuclear power to operate, so that the stable operation of a nuclear power unit can be guaranteed, and the operation safety and the economical efficiency of the nuclear power unit are improved; under the development situation of extra-high voltage direct current, the pumped storage power station can be used as a support power supply, the capability of the power system for dealing with accidents is enhanced, and the safe, reliable and stable operation of the power system is guaranteed.
The development of pumped storage power stations in China follows a unified planning principle, namely, firstly, on the basis of comprehensive general survey of site resources, point selection planning of pumped storage power stations is compiled, and project development owners, project early-stage work and approval construction can be clearly developed only when the planned site is entered. In the early working stages of general survey and the like of the pumped storage power station, for analyzing the resource endowment and potential station site construction conditions of the pumped storage power station in a region, calculation of hydraulic energy parameters is one of the first and most important work, and the working task of the hydraulic energy parameter calculation is to draft parameters such as characteristic water levels of an upper reservoir and a lower reservoir and installed capacity of the power station of a possible pumped storage station site by combining the constraints of all aspects such as terrain, geology, immigration, environmental protection, unit operation and the like. However, the existing relevant calculation and analysis methods are mainly determined by experience analysis of designers, the calculation result of the hydraulic energy parameters has certain subjectivity and arbitrariness, and when the general survey area is large and the potential station sites are many, the overall workload of calculation of the hydraulic energy parameters is large and the working efficiency is relatively low.
Disclosure of Invention
The technical problem to be solved by the invention is as follows: aiming at the existing problems, the method for calculating the water energy parameters of the pumped storage power station based on the maximum scale criterion is provided.
The technical scheme adopted by the invention is as follows:
a pumped storage power station water energy parameter calculation method based on a maximum scale criterion is characterized by comprising the following steps:
step 1: acquiring basic information of a planning power station, wherein the basic information comprises a conversion function of water level and reservoir capacity of upper and lower reservoirs of the power station, an upper limit value of a normal water storage level, a lower limit value of a dead water level, an upper limit value of a dead reservoir capacity, a ratio control value of a lift head of the power station and continuous full-time hours;
step 2: establishing a pumped storage power station water energy parameter optimization mathematical model containing a maximum scale criterion objective function and constraint conditions, specifically:
the method comprises the following steps of (1) optimizing a mathematical model of hydraulic energy parameters of the pumped storage power station to plan that the maximum installed capacity of the power station is an objective function:
in the formula: n is the installed capacity of the planned power station, E is the energy storage capacity of the planned power station, and T is the continuous full-time number of hours of the planned power station;
the constraint conditions are specifically as follows:
(1) upper and lower limit of normal water storage level
In the formula:for planning the dead water level of the upper and lower water reservoirs of the power station;the water level is the normal water storage level of the upper water reservoir and the lower water reservoir;the water level is the upper limit value of the normal water storage level of the upper reservoir and the lower reservoir;
(2) upper and lower limit of dead water level
In the formula:the lower limit value of the dead water level of the upper reservoir and the lower reservoir;the upper limit of the dead storage capacity of the upper reservoir and the lower reservoir is set; zUp=fUp(VUp) The conversion function of the water level and the reservoir capacity of the upper reservoir is expressed and input into the reservoir capacity V of the upper reservoirUpThe corresponding upper reservoir water level Z can be calculatedUp;ZLow=fLow(VLow) The conversion function of the water level and the reservoir capacity of the lower reservoir is expressed and input into the reservoir capacity V of the lower reservoirLowThe corresponding water level Z of the reservoir can be calculatedLow;
(3) Head ratio constraint
In the formula: hMaxL、HMinHThe maximum net lift and the minimum net head of the power station are planned; r is a lift water head ratio control value;beta is the head ratio difference, beta is more than 0;
(4) tolerance difference constraint of upper and lower reservoir regulation
In the formula:adjusting the storage capacity for the upper and lower reservoirs; delta is the difference of the upper reservoir capacity and the lower reservoir capacity, and delta is more than 0;
and step 3: solving the pumped storage power station hydroenergy parameter optimization mathematical model established in the step 2, and comprising the following substeps:
step 31: preliminarily setting normal water storage levels and dead water levels of the upper reservoir and the lower reservoir, and calculating the adjustment storage capacity of the upper reservoir and the lower reservoir:
in the formula:the inverse function of the upper reservoir capacity conversion is expressed and input into the upper reservoir water level ZUpThe corresponding upper reservoir capacity V can be calculatedUp;The inverse function of the conversion of the reservoir capacity of the reservoir is expressed and the reservoir water level Z is inputLowThe corresponding reservoir capacity V of the lower reservoir can be calculatedLow;
Step 32: if it isSkipping step 32 and entering step 33, otherwise, lowering the normal storage level of the reservoir with larger regulated storage capacity in the upper and lower reservoirs until the normal storage level is lowered
Step 33: calculating and planning the maximum net lift and the minimum net head of the power station:
in the formula: the delta MaxL and the delta MinH are respectively the head loss corresponding to the maximum head and the head loss corresponding to the minimum head;
if it isSkipping step 33, otherwise, adjusting the normal water level or the dead water level of the upper and lower reservoirs to make
Step 34: if it isSkipping step 34, otherwise, adjusting the normal water level or dead water level of the upper and lower reservoirs to makeThen returning to the step 33 for iterative calculation, if the iteration times reaches the upper limit Max beta, no iteration is performed, and ending the step 34;
step 35: and (4) calculating and planning the energy storage capacity and installed capacity of the power station according to the normal water storage level and the dead water level of the upper water reservoir and the lower water reservoir selected in the step 34:
in the formula: hAveHAveraging the water purification heads for planning the power station; Δ MaxH is the maximum head corresponding head loss;
in the formula: k is the comprehensive output coefficient of the planning power station, delta t is the time step length, and eta is the storage capacity margin coefficient;
and 4, step 4: the calculation result of the hydraulic energy parameters is output in order, and comprises the normal water storage level of an upper reservoirDead water levelRegulating storage capacityNormal water storage level of sewerDead water levelRegulating storage capacityAverage water purification head H of electric stationAveHThe installed capacity N and the continuous full hair hours T.
Further, the adjusting of the normal water storage level or the dead water level of the upper and lower reservoirs in the step 33 further comprises:
if it isFor the reservoir with larger adjusting storage capacity in the upper reservoir and the lower reservoir: if the dead storage capacity is smaller than the upper limit of the dead storage capacity, the dead water level is increased, and if the dead storage capacity is equal to the upper limit of the dead storage capacity, the normal water storage level is reduced;
if it isFor the reservoir with smaller regulation storage capacity in the upper reservoir and the lower reservoir: if the normal water storage level is less than the upper limit of the normal water storage level, the normal water storage level is increased, and if the normal water storage level is equal to the upper limit of the normal water storage level, the dead water level is reduced; if the normal water level of the reservoir is equal to the upper limit of the normal water level and the dead water level is equal to the lower limit of the dead water level, the dead water level of the other reservoir is reduced.
Further, the step 34 of adjusting the normal water storage level or the dead water level of the upper and lower reservoirs further comprises:
if the normal water level of the reservoir with smaller regulating reservoir capacity in the upper reservoir and the lower reservoir reaches the upper limit and the dead water level reaches the lower limit, the normal water level is reduced for the other reservoir; otherwise, for another reservoir, if the dead reservoir capacity is smaller than the upper limit of the dead reservoir capacity, the dead water level is increased, and if the dead reservoir capacity is equal to the upper limit of the dead reservoir capacity, the normal water storage level is reduced.
Furthermore, when the normal water storage level or the dead water level of the upper and lower water reservoirs is adjusted, the normal water storage level is always controlled not to exceed the upper limit value of the normal water storage level and to be higher than the dead water level, the dead water level is not lower than the lower limit value of the dead water level, and the dead reservoir capacity is smaller than the upper limit value of the dead reservoir capacity.
The invention has the beneficial effects that: compared with the prior art, the invention has the advantages that in the early working stage of general survey and the like of the pumped storage power station, the calculation of the hydraulic energy parameters of the pumped storage power station is mainly determined by manual empirical analysis, clear theory and calculation method are lacked, the calculation result has stronger subjectivity and arbitrariness, and the efficiency of calculation and analysis is not high, the invention comprehensively considers the constraints of the aspects of topographic geology, submerging influence, environmental protection, unit operation and the like on the characteristic water levels of an upper water reservoir and a lower water reservoir of the power station, the head ratio of a lifting head of a unit of the power station and the like in the development stage of the pumped storage power station, establishes a hydraulic energy parameter calculation model of the pumped storage power station based on the maximum scale criterion, provides a model solving algorithm with clear steps, simple implementation and high calculation efficiency, and can objectively calculate the maximum installed scale and, the method can be widely applied to early working stages such as general inspection of pumped storage power stations, and can remarkably improve the calculation working efficiency of the water energy parameters when the working range is wide and potential station resources are rich.
Drawings
FIG. 1 is a flow chart of the present invention.
FIG. 2 is a flow chart of a mathematical model solution algorithm for optimization of water energy parameters of the pumped storage power station.
Detailed Description
As shown in fig. 1, the present embodiment is a method for calculating water energy parameters of a pumped storage power station based on a maximum scale criterion, and the method includes the following specific steps:
step 1: acquiring basic information of a planning power station, wherein the basic information comprises a conversion function of water level and reservoir capacity of upper and lower reservoirs of the power station, an upper limit value of a normal water storage level, a lower limit value of a dead water level, an upper limit value of a dead reservoir capacity, a ratio control value of a lift head of the power station and continuous full-time hours; the conversion function of the water levels and the storage capacities of the upper reservoir and the lower reservoir is obtained by fitting according to the relation result of the water levels and the storage capacities of the upper reservoir and the lower reservoir; the upper limit of the normal water storage level of the upper reservoir and the lower reservoir is determined by comprehensively considering the aspects of avoiding submerging military facilities, scenic spots, natural protection areas, large industrial and mining enterprises, towns or densely populated areas, avoiding sensitive areas affected by the environment as much as possible, and determining and considering dam length, height limit and the like from the aspect of controlling dam engineering quantity; the upper limit of the dead reservoir capacity can be determined by combining the water source conditions of the region and considering the initial water storage difficulty of the reservoir; the lower limit of the dead water level is set by considering the arrangement of a water diversion system and combining with the terrain condition; the lift head ratio control considers the head range of the electric station and is determined by referring to the stable running range of the lift head ratio of similar units at home and abroad; the continuous full-time number is determined according to the warehousing condition of the power station and the demand of the power system.
Step 2: establishing a pumped storage power station water energy parameter optimization mathematical model containing a maximum scale criterion objective function and constraint conditions, specifically:
the water energy parameter optimization mathematical model of the pumped storage power station is designed to design that the maximum installed capacity of the power station is an objective function:
in the formula: n is the installed capacity of the planned power station, E is the energy storage capacity of the planned power station, and T is the continuous full-time number of hours of the planned power station;
the constraint conditions are specifically as follows:
(1) upper and lower limit of normal water storage level
In the formula:for planning the dead water level of the upper and lower water reservoirs of the power station;the water level is the normal water storage level of the upper water reservoir and the lower water reservoir;the water level is the upper limit value of the normal water storage level of the upper reservoir and the lower reservoir;
(2) upper and lower limit of dead water level
In the formula:the lower limit value of the dead water level of the upper reservoir and the lower reservoir;the upper limit of the dead storage capacity of the upper reservoir and the lower reservoir is set; zUp=fUp(VUp) The conversion function of the water level and the reservoir capacity of the upper reservoir is expressed and input into the reservoir capacity V of the upper reservoirUpThe corresponding upper reservoir water level Z can be calculatedUp;ZLow=fLow(VLow) The conversion function of the water level and the reservoir capacity of the lower reservoir is expressed and input into the reservoir capacity V of the lower reservoirLowThe corresponding water level Z of the reservoir can be calculatedLow;
(3) Head ratio constraint
In the formula: hMaxL、HMinHThe maximum net lift and the minimum net head of the power station are planned; r is a lift water head ratio control value; beta is the head ratio difference, beta is more than 0;
(4) tolerance difference constraint of upper and lower reservoir regulation
In the formula:adjusting the storage capacity for the upper and lower reservoirs; delta is the difference of the upper reservoir capacity and the lower reservoir capacity, and delta is more than 0;
and step 3: solving the pumped storage power station hydroenergy parameter optimization mathematical model established in the step 2, and comprising the following substeps:
step 31: preliminarily setting normal water storage levels and dead water levels of the upper reservoir and the lower reservoir, and calculating the adjustment storage capacity of the upper reservoir and the lower reservoir:
in the formula:the inverse function of the upper reservoir capacity conversion is expressed and input into the upper reservoir water level ZUpCalculating to obtain the corresponding upper reservoir capacity Vup;the inverse function of the conversion of the reservoir capacity of the reservoir is expressed and the reservoir water level Z is inputLowThe corresponding reservoir capacity V of the lower reservoir can be calculatedLow;
Step 32: if it isSkipping step 32 and entering step 33, otherwise, lowering the normal storage level of the reservoir with larger regulated storage capacity in the upper and lower reservoirs until the normal storage level is lowered
Step 33: calculating and designing the maximum net lift and the minimum net head of the power station:
in the formula: the delta L and the delta H are respectively the head loss corresponding to the maximum head and the head loss corresponding to the minimum head;
if it isSkipping step 33, otherwise, adjusting the normal water level or the dead water level of the upper and lower reservoirs to make
Step 34: if it isSkipping step 34, otherwise, adjusting the normal water level or dead water level of the upper and lower reservoirs to makeThen returning to the step 33 for iterative calculation, if the iteration times reaches the upper limit Max beta, no iteration is performed, and ending the step 34;
step 35: and (4) calculating and planning the energy storage capacity and installed capacity of the power station according to the normal water storage level and the dead water level of the upper water reservoir and the lower water reservoir selected in the step 34:
in the formula: hAveHAveraging the water purification heads for planning the power station; Δ MaxH is the maximum head corresponding head loss;
in the formula: k is the comprehensive output coefficient of the planning power station, delta t is the time step length, and eta is the storage capacity margin coefficient;
and 4, step 4: the calculation result of the hydraulic energy parameters is output in order, and comprises the normal water storage level of an upper reservoirDead water levelRegulating storage capacityNormal water storage level of sewerDead water levelRegulating storage capacityAverage water purification head H of electric stationAveHThe installed capacity N and the continuous full hair hours T. Wherein, the basic data obtained in the step 1 is the number T of continuous full-time generation, and the rest is calculated in the step 3.
The step 33 is further as follows:
if it isFor the reservoir with larger adjusting storage capacity in the upper reservoir and the lower reservoir: if the dead storage capacity is smaller than the upper limit of the dead storage capacity, the dead water level is increased, and if the dead storage capacity is equal to the upper limit of the dead storage capacity, the normal water storage level is reduced;
if it isFor the reservoir with smaller regulation storage capacity in the upper reservoir and the lower reservoir: if the normal water storage level is less than the upper limit of the normal water storage level, the normal water storage level is increased, and if the normal water storage level is equal to the upper limit of the normal water storage level, the dead water level is reduced; if the normal water level of the reservoir is equal to the upper limit of the normal water level and the dead water level is equal to the lower limit of the dead water level, the dead water level of the other reservoir is reduced.
The step 34 further comprises: if the normal water level of the reservoir with smaller regulating reservoir capacity in the upper reservoir and the lower reservoir reaches the upper limit and the dead water level reaches the lower limit, reducing the normal water level for the other reservoir; otherwise, for another reservoir, if the dead reservoir capacity is smaller than the upper limit of the dead reservoir capacity, the dead water level is increased, and if the dead reservoir capacity is equal to the upper limit of the dead reservoir capacity, the normal water storage level is reduced.
In the step 3: when the normal water storage level or the dead water level of the upper and lower water reservoirs is adjusted, the normal water storage level is always controlled not to exceed the upper limit value of the normal water storage level and to be higher than the dead water level, the dead water level is not lower than the lower limit value of the dead water level, and the dead reservoir capacity is smaller than the upper limit value of the dead reservoir capacity.
Claims (4)
1. A pumped storage power station water energy parameter calculation method based on a maximum scale criterion is characterized by comprising the following steps:
step 1: acquiring basic information of a planning power station, wherein the basic information comprises a conversion function of water level and reservoir capacity of upper and lower reservoirs of the power station, an upper limit value of a normal water storage level, a lower limit value of a dead water level, an upper limit value of a dead reservoir capacity, a ratio control value of a lift head of the power station and continuous full-time hours;
step 2: establishing a pumped storage power station water energy parameter optimization mathematical model containing a maximum scale criterion objective function and constraint conditions, specifically comprising the following steps:
the method comprises the following steps of (1) optimizing a mathematical model of hydraulic energy parameters of the pumped storage power station to plan that the maximum installed capacity of the power station is an objective function:
in the formula: n is the installed capacity of the planned power station, E is the energy storage capacity of the planned power station, and T is the continuous full-time number of hours of the planned power station;
the constraint conditions are specifically as follows:
(1) upper and lower limit of normal water storage level
In the formula:for planning the dead water level of the upper and lower water reservoirs of the power station;is the normal water storage level of the upper and lower reservoirs;is as followsThe upper limit value of the normal water storage level of the lower reservoir;
(2) upper and lower limit of dead water level
In the formula:the lower limit value of the dead water level of the upper reservoir and the lower reservoir;the upper limit value of the dead storage capacity of the upper and lower reservoirs; zUp=fUp(VUp) The conversion function of the water level and the reservoir capacity of the upper reservoir is expressed and input into the reservoir capacity V of the upper reservoirUpThe corresponding upper reservoir water level Z can be calculatedUp;ZLow=fLow(VLow) The conversion function of the water level and the reservoir capacity of the lower reservoir is expressed and input into the reservoir capacity V of the lower reservoirLowThe corresponding water level Z of the reservoir can be calculatedLow;
(3) Head ratio constraint
In the formula: hMaxL、HMinHThe maximum net lift and the minimum net head of the power station are planned; r is a lift water head ratio control value; beta is the head ratio difference, beta is more than 0;
(4) tolerance difference constraint of upper and lower reservoir regulation
In the formula:adjusting the storage capacity for the upper and lower reservoirs; delta is the difference of the upper reservoir capacity and the lower reservoir capacity, and delta is more than 0;
and step 3: solving the pumped storage power station hydroenergy parameter optimization mathematical model established in the step 2, and comprising the following substeps:
step 31: preliminarily setting normal water storage levels and dead water levels of the upper reservoir and the lower reservoir, and calculating the adjustment storage capacity of the upper reservoir and the lower reservoir:
in the formula:the inverse function of the upper reservoir capacity conversion is expressed and input into the upper reservoir water level ZUpThe corresponding upper reservoir capacity V can be calculatedUp;The inverse function of the conversion of the reservoir capacity of the lower reservoir is expressed and the reservoir water level Z is inputLowThe corresponding reservoir capacity V of the lower reservoir can be calculatedLow;
Step 32: if it isSkipping step 32 and entering step 33, otherwise, lowering the normal storage level of the reservoir with larger regulated storage capacity in the upper and lower reservoirs until the normal storage level is lowered
Step 33: calculating and planning the maximum net lift and the minimum net head of the power station:
in the formula: the delta MaxL and the delta MinH are respectively the head loss corresponding to the maximum head and the head loss corresponding to the minimum head;
if it isSkipping step 33, otherwise, adjusting the normal water storage level or the dead water level of the upper and lower reservoirs so as to make
Step 34: if it isSkip overStep 34, otherwise, adjusting the normal water storage level or the dead water level of the upper and lower water reservoirs to ensure thatThen returning to step 33 for iterative calculation, and if the iteration number reaches the upper limit Max beta, stopping iteration, and ending step 34;
step 35: and (4) calculating and planning the energy storage capacity and installed capacity of the power station according to the normal water storage level and the dead water level of the upper water reservoir and the lower water reservoir selected in the step 34:
in the formula: hAveHAveraging the water purification heads for planning the power station; Δ MaxH is the maximum head corresponding head loss;
in the formula: k is the comprehensive output coefficient of the planning power station, delta t is the time step length, and eta is the storage capacity margin coefficient;
and 4, step 4: the calculation result of the hydraulic energy parameters is output in order, and comprises the normal water storage level of an upper reservoirDead water levelRegulating storage capacityNormal water storage level of sewerDead water levelRegulating storage capacityAverage water purification head H of power stationAveHThe installed capacity N and the continuous full hair hours T.
2. The method of claim 1 wherein the step of adjusting the normal storage level or the dead water level of the upper and lower reservoirs in step 33 further comprises:
if it isFor the reservoir with larger adjusting storage capacity in the upper reservoir and the lower reservoir: if the dead storage capacity is smaller than the upper limit of the dead storage capacity, the dead water level is increased, and if the dead storage capacity is equal to the upper limit of the dead storage capacity, the normal water storage level is reduced;
if it isFor the reservoir with smaller regulation storage capacity in the upper reservoir and the lower reservoir: if the normal water storage level is less than the upper limit of the normal water storage level, the normal water storage level is increased, and if the normal water storage level is equal to the upper limit of the normal water storage level, the dead water level is reduced; if the normal water level of the reservoir is equal to the upper limit of the normal water level and the dead water level is equal to the lower limit of the dead water level, the dead water level of the other reservoir is reduced.
3. The method of claim 1 wherein the step 34 of adjusting the normal storage level or the dead water level of the upper and lower reservoirs further comprises:
if the normal water level of the reservoir with smaller regulating reservoir capacity in the upper reservoir and the lower reservoir reaches the upper limit and the dead water level reaches the lower limit, the normal water level is reduced for the other reservoir; otherwise, for another reservoir, if the dead reservoir capacity is smaller than the upper limit of the dead reservoir capacity, the dead water level is increased, and if the dead reservoir capacity is equal to the upper limit of the dead reservoir capacity, the normal water storage level is reduced.
4. The method as claimed in claim 1, 2 or 3, wherein when the normal water level or the dead water level of the upper and lower reservoirs is adjusted, the normal water level is always controlled not to exceed the upper limit value of the normal water level and to be higher than the dead water level, the dead water level is not lower than the lower limit value of the dead water level, and the dead reservoir capacity is smaller than the upper limit value of the dead reservoir capacity.
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CN116822252A (en) * | 2023-08-28 | 2023-09-29 | 中国电建集团昆明勘测设计研究院有限公司 | Quick determination method for water energy parameters of pumped storage power station |
CN116822252B (en) * | 2023-08-28 | 2023-11-10 | 中国电建集团昆明勘测设计研究院有限公司 | Quick determination method for water energy parameters of pumped storage power station |
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