CN115940207A - Pumped storage capacity optimal configuration method based on stabilization of wind and light fluctuation - Google Patents
Pumped storage capacity optimal configuration method based on stabilization of wind and light fluctuation Download PDFInfo
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Abstract
The invention discloses a pumped storage capacity optimal configuration method based on stabilizing wind and light fluctuation, which is implemented according to the following steps: establishing a target function according to the lowest daily fluctuation rate of the combined output of wind power and photovoltaic power in the region, and setting a basic fluctuation index; considering the operation cost of the thermal power generating unit and establishing pumped storage power station constraints and unit operation constraints; establishing a chaos theoretical mathematical model according to a chaos optimization algorithm, solving the chaos theoretical mathematical model under a constraint condition to obtain an optimal solution of the wind power photovoltaic daily fluctuation rate, and taking the pumped storage capacity corresponding to the optimal solution as the pumped storage optimal configuration capacity; the method realizes stable output of wind and light by utilizing the adjusting capability of pumped storage energy, is beneficial to smoothing the output process of wind energy and photovoltaic, reduces the interference on the safe and stable operation of a power supply system, optimizes the power supply structure and stabilizes the safety of the power system, thereby providing decision basis for planning and constructing the pumped storage power station of the regional power grid.
Description
Technical Field
The invention belongs to the technical field of new energy scheduling, and particularly relates to a pumped storage capacity optimal configuration method based on stabilization of wind and light fluctuation.
Background
The rapid development of pumped storage is imperative for the global response to climate change and green low-carbon transformation of propulsion energy under new situation. As a low-carbon flexible adjusting power supply with mature technology and huge development potential at present, the power supply utilizes the energy storage function of pumping water and storing energy, is beneficial to smoothing the output process of wind energy and photovoltaic, and reduces the interference on the safe and stable operation of a power supply system.
There are experts who have already conducted discussions relating to pumped storage. By researching and analyzing an outward delivery channel, a thermal power peak regulation mode and an energy storage mode, zhang et al think that a pumped storage power station has an obvious effect of absorbing new energy and improves the stability of a power system. Tangning et al think that the pumped storage power station can overcome the randomness and the imbalance problem of new energy power generation such as wind energy, and can break through the constraint on new energy development and create the condition of vigorous development.
In the existing research, sang Weilin and the like propose a capacity configuration optimization method considering the operating power, the storage capacity and the water inlet and outlet quantity constraints of a pumped storage power station, and the external stable output of the wind-light-water bundling is realized through the regulating capacity of pumped storage energy. Dajiatong et al establish an optimization model of capacity allocation of a wind-solar complementary pumped storage power station by improving a particle swarm algorithm and provide corresponding allocation requirements, thereby proving the effectiveness of the wind-solar pumped storage complementary power generation technology. The Pan standing and the like construct a wind-light-pumped storage combined dispatching optimization model, and prove that the 'peak clipping and valley filling' effect of a pumped storage power station can be used for improving the utilization rate of new energy. Chengmeng et al constructed a double-layer model to determine the capacity configuration of the pumped storage power station, and at the same time improved the system operation conditions, and solved the operation scheduling problem of the pumped storage power station.
With the rapid development of pumped storage power stations in China, the problem of optimal capacity proportioning of the pumped storage power stations becomes an important problem after large-scale new energy grid connection. At present, a certain amount of research and application are carried out on pumped storage and single new energy subsystem complementary power generation, but according to different power generation characteristics of wind, light and storage, research on utilization of the wind, light and storage is rare. The inherent randomness, intermittence and fluctuation of wind and light output bring great influence to the stable operation of a power system, so that the problems of difficult absorption, increased peak regulation demand and the like are caused, and the existing pumped storage power station has no definite method for capacity configuration and has no scientific basis for the configuration of capacity.
Disclosure of Invention
The invention aims to provide a pumped storage capacity optimal configuration method based on wind and light fluctuation stabilization, which can sufficiently stabilize wind and light fluctuation, optimize a power supply structure and stabilize the safety of a power system, thereby providing a decision basis for planning and constructing a pumped storage power station of a regional power grid.
The technical scheme adopted by the invention is that a pumped storage capacity optimal configuration method based on stabilizing wind and light fluctuation is implemented according to the following steps:
and 2, establishing a chaos theoretical mathematical model according to a chaos optimization algorithm, solving the chaos theoretical mathematical model under a constraint condition to obtain an optimal solution of the photovoltaic daily fluctuation rate of the wind power, and taking the pumped storage capacity corresponding to the optimal solution as the pumped storage optimal configuration capacity.
The invention is also characterized in that:
the specific process of the step 1 is as follows:
step 1.1, establishing a target function with the lowest daily fluctuation rate of wind power and photovoltaic combined output in a region as follows:
wherein, P' WT 、P′ PV Wind power and photovoltaic fluctuation rate; p is WT (t)、P VT (t) respectively representing the power generation power of wind power and photovoltaic at the moment t;
respectively the installed capacities of wind power and photovoltaic power;
setting basic fluctuation indexes, wherein the mean values are respectively as follows:
step 1.3, considering the operation cost of the thermal power generating unit:
in the formula
The cost function of the power generation fuel of the thermal power generating unit; />
The coal consumption cost coefficient is the coal consumption cost coefficient of the nth thermal power generating unit; />
The starting cost of the thermal power generating unit i at the moment t is shown; />
The method comprises the following steps that 1, starting and stopping are carried out on the operating state of a thermal power generating unit i at the moment t, wherein 1 is starting and 0 is stopping; t is the total scheduling time number; />
The output power of the thermal power generating unit i at the moment t;
step 1.3, establishing pumped storage power station constraint and unit operation constraint, wherein the pumped storage power station constraint conditions comprise pumped storage power constraint and water discharge power constraint, water inlet and outlet quantity balance constraint and reservoir capacity constraint in the operation process, and the unit operation constraint comprises unit power balance constraint, output limit constraint, climbing power constraint, thermal power unit heat reserve constraint, hydroelectric power unit processing constraint and hydroelectric power unit conversion constraint.
The constraint conditions of the pumped storage power station specifically comprise:
the water pumping power constraint and the water discharging power constraint are as follows:
in the formula: p h (t) is the water discharge power of the pumped storage power station at the t moment; p p (t) the pumped water absorption power of the pumped water storage power station at the tth moment; gamma ray H And gamma P Respectively 0-1 water discharge state variable and 0-1 water pumping state variable of the pumped storage power station, wherein gamma is H And gamma P 1 cannot be taken simultaneously;
the balance constraint of the water inlet and outlet quantity is as follows:
the library capacity constraint is:
in the formula: v u (t)、V d (t) the storage capacities of the upper and lower reservoirs at time period t; v u,max 、V u,min The upper limit and the lower limit of the storage capacity of the upper reservoir are respectively set; v d,max 、V d,min Respectively the upper limit and the lower limit of the storage capacity of the lower reservoir; eta p 、η g The average water quantity and the electric quantity conversion coefficient during power generation and water pumping are respectively.
The unit operation constraints specifically include:
the power balance constraint of the unit is as follows:
in the formula, P Ti,n (t) is the output of the nth thermal power generating unit in the t period, P WA,m (t) is the output of the mth hydroelectric generating set at t time period, P load (t) load for a period t;
the output limit constraints are:
in the formula P Tmini 、P Tmaxi The minimum and maximum technical output of a thermal power generating unit i is indicated; p Hmini 、P Hmaxi The minimum and maximum technical output of the hydroelectric generating set i is indicated;
and (3) climbing power constraint:
in the formula r di 、r ui The lower limit and the upper limit of the climbing speed of the ith thermal power generating unit are indicated;
thermal power unit hot standby constraint:
in the formula: rho represents a hot standby coefficient of the thermal power generating unit;
output restraint of the hydroelectric generating set:
P WA,min ≤P WA,m (t)≤P WA,max (12)
conversion constraint of the hydroelectric generating set:
P WA,m (t)＝η WA,m AQ WA,m (t)h WA,m (t) (13)
in the formula: eta WA,m The conversion efficiency of the mth hydroelectric generating set; a refers to the hydro-electric conversion constant; q WA,m (t) refers to the power generation reference flow of the mth hydroelectric generating set in the t period; h is WA,m (t) is the clear head of the reservoir m at time t.
The specific process of the step 2 is as follows:
step 2.1, setting an optimization function as follows:
F＝min f(x) (14)
wherein f (x) represents that a target function is established with the lowest daily fluctuation rate of wind power and photovoltaic combined output in a region;
step 2.2, converting the wind-solar fluctuation rate modeling problem into a chaos optimization variable to obtain an optimal solution problem, wherein the chaos theory mathematical modeling is as follows:
b g+1 ＝u(1-b g ) (15)
wherein g is the number of population generations, b g Represents the resulting sequence { b } g Is a chaotic variable, b g+1 Representing a sequence after one more iteration, wherein u represents a chaotic parameter;
step 2.3, assuming that the dimension is D, setting the scales of the wind power station and the photovoltaic power station as NP, and expanding an original time sequence B = { B1, B2, \8230 } to a B vector of a D column of an NP row according to the number NP of the wind power station and the photovoltaic power station and the total time period D, wherein the B vector is expressed as:
decomposing to obtain:
x a,d ＝x min,d +b a,d (x max,d -x min,d ) (17)
wherein x is a,d Representing a d-dimensional initial optimization solution of the a-th wind-solar power station;
step 2.4, obtaining an initial matrix which is all initial optimization solutions, namely wind-solar fluctuation ratio optimization solutions, through the formula (16) and the formula (17), wherein the initial matrix is expressed as:
2.5, selecting an optimal solution, and judging whether the individual optimal solution is the optimal solution according to the formula (19), so as to obtain the optimal solution of the wind-light fluctuation rate;
in the formula (19), xw refers to the solution of the filial generation individuals after crossing, and W represents the variant individual vector; w j g+1 Represents the g +1 generation variant individual vector;
and 2.6, taking the pumped storage capacity corresponding to the optimal solution as the pumped storage optimal configuration capacity.
The beneficial effects of the invention are:
the invention provides a pumped storage capacity optimal configuration method based on stabilization of wind and light fluctuation, and provides a pumped storage power station planning model based on stabilization of wind and light fluctuation in view of randomness, intermittency and fluctuation of wind and light output.
Drawings
FIG. 1 is a flow chart of a pumped storage capacity optimization configuration method based on wind and light fluctuation stabilization of the invention;
FIG. 2 (a) is a schematic diagram of the power output of each power supply in a typical day in summer according to the embodiment of the invention;
FIG. 2 (b) is a schematic diagram of the power output of each power supply in a typical winter day according to the embodiment of the invention;
FIG. 3 is a schematic diagram of the output of each power source after the pumped-storage power station is added in a typical day in summer according to the embodiment of the invention;
FIG. 4 is a schematic diagram of the wind-light basic fluctuation index of the pumped-storage power station at different capacities in a typical day in summer according to the embodiment of the invention;
FIG. 5 (a) shows the wind, light and water fluctuation ratio when the installed power of the pumped storage power station in the typical day in summer is 0 in the embodiment of the invention;
FIG. 5 (b) shows the wind, light and water fluctuation rate when the installed power of the pumped-storage power station in the typical day in summer is 300MW in the embodiment of the invention;
FIG. 6 is a schematic diagram of the output of each power source after the pumped-storage power station is added in a typical day in winter according to the embodiment of the invention;
FIG. 7 is a wind-light basic fluctuation index of the pumped-storage power station at different capacities in a typical day in winter according to an embodiment of the present invention;
FIG. 8 (a) shows the wind, light and water fluctuation rate when the installed power of a typical daily pumped-storage power station in winter is 0 in the embodiment of the present invention;
fig. 8 (b) shows the wind, light and water fluctuation rate of a typical daily pumped-storage power station in winter when the installed power of the station is 300MW in the embodiment of the invention.
Detailed Description
The present invention will be described in detail below with reference to the accompanying drawings and specific embodiments.
The invention relates to a pumped storage capacity optimal configuration method based on stabilizing wind and light fluctuation, which is implemented according to the following steps:
step 1.1, establishing a target function with the lowest daily fluctuation rate of wind power and photovoltaic combined output in a region as follows:
wherein, P' WT 、P′ PV Wind power and photovoltaic fluctuation rate; p WT (t)、P VT (t) respectively representing the power generation power of wind power and photovoltaic at the moment t;
respectively the installed capacities of wind power and photovoltaic power; />
Setting basic fluctuation indexes, wherein the mean values are respectively as follows:
step 1.2, considering the operation cost of the thermal power unit:
in the formula
The cost function of the power generation fuel of the thermal power generating unit; />
The coal consumption cost coefficient of the nth thermal power generating unit is obtained; />
The starting cost of the thermal power generating unit i at the moment t is shown; />
The method comprises the following steps that 1, starting and stopping are carried out on the operating state of a thermal power generating unit i at the moment t, wherein 1 is starting and 0 is stopping; t is the total scheduling time number; />
The output power of the thermal power generating unit i at the moment t;
step 1.3, establishing pumped storage power station constraint and unit operation constraint, wherein the pumped storage power station constraint conditions comprise pumped storage power constraint and water discharge power constraint, water inlet and outlet quantity balance constraint and reservoir capacity constraint in the operation process, and the unit operation constraint comprises unit power balance constraint, output limit constraint, climbing power constraint, thermal power unit heat reserve constraint, hydroelectric power unit processing constraint and hydroelectric power unit conversion constraint.
The constraint conditions of the pumped storage power station specifically comprise:
the water pumping power constraint and the water discharging power constraint are as follows:
in the formula: p h (t) is the water discharge power of the pumped storage power station at the t moment; p p (t) the pumped water absorption power of the pumped water storage power station at the tth moment; gamma ray H And gamma P Respectively 0-1 water discharge state variable and 0-1 water pumping state variable of the pumped storage power station, wherein gamma is H And gamma P 1 cannot be taken out simultaneously;
the balance constraint of the water inlet and outlet quantity is as follows:
the library capacity constraint is:
in the formula: v u (t)、V d (t) the storage capacities of the upper and lower reservoirs at time period t; v u,max 、V u,min The upper limit and the lower limit of the storage capacity of the upper reservoir are respectively set; v d,max 、V d,min Respectively the upper limit and the lower limit of the storage capacity of the lower reservoir; eta p 、η g The average water quantity and the electric quantity conversion coefficient during power generation and water pumping are respectively.
The unit operation constraints specifically include:
the power balance constraint of the unit is as follows:
in the formula, P Ti,n (t) is the output of the nth thermal power generating unit in the t period, P WA,m (t) is the output of the mth hydroelectric generating set in the t time period, P load (t) load for a period t;
the output limit constraints are:
in the formula P Tmini 、P Tmaxi The minimum and maximum technical output of a thermal power generating unit i are indicated; p Hmini 、P Hmaxi The minimum and maximum technical output of the hydroelectric generating set i is indicated;
and (3) climbing power constraint:
in the formula r di 、r ui The lower limit and the upper limit of the climbing speed of the ith thermal power generating unit are indicated;
thermal power unit hot standby constraint:
in the formula: rho represents a hot standby coefficient of the thermal power generating unit;
output restraint of the hydroelectric generating set:
P WA,min ≤P WA,m (t)≤P WA,max (12)
conversion constraint of the hydroelectric generating set:
P WA,m (t)＝η WA,m AQ WA,m (t)h WA,m (t) (13)
in the formula: eta WA,m The conversion efficiency of the mth hydroelectric generating set; a refers to the hydro-electric conversion constant;
Q WA,m (t) refers to the power generation reference flow of the mth hydroelectric generating set in the t period; h is a total of WA,m (t) is the clear head of the reservoir m at time t.
step 2.1, chaotic optimization refers to a search algorithm for optimizing by determining the self rule of chaotic motion and traversing solution space, and can effectively solve various complex functions. Based on the advantage of higher optimization efficiency, the problem is solved, and an optimization function is set as follows:
F＝min f(x) (14)
wherein f (x) represents that a target function is established with the lowest daily fluctuation rate of the wind power and photovoltaic combined output in the region;
step 2.2, converting the wind-solar fluctuation rate modeling problem into a chaos optimization variable to obtain an optimal solution problem, wherein the chaos theory mathematical modeling is as follows:
b g+1 ＝u(1-b g ) (15)
wherein g is the number of population generations, b g Represents the resulting sequence { b } g Is a chaotic variable, b g+1 Representing a sequence after one more iteration, wherein u represents a chaotic parameter;
step 2.3, assuming that the dimension is D, setting the scales of the wind power and photovoltaic power stations as NP, and extending the original time sequence B = { B1, B2, \ 8230;, BNP } to B vectors of a D column in an NP row according to the number NP and the total time period D of the wind power and photovoltaic power stations, wherein the B vectors are expressed as follows:
decomposing to obtain:
x a,d ＝x min,d +b a,d (x max,d -x min,d ) (17)
wherein x is a,d Representing a d-dimensional initial optimization solution of the a-th wind-solar power station;
step 2.4, obtaining an initial matrix which is all initial optimization solutions, namely wind-solar fluctuation ratio optimization solutions, through the formula (16) and the formula (17), wherein the initial matrix is expressed as:
2.5, selecting an optimal solution, and judging whether the individual optimal solution is the optimal solution according to the formula (19) to obtain the optimal solution of the wind-light fluctuation rate;
in the formula (19), xw refers to the solution of the filial generation individuals after crossing, and W represents the variant individual vector; w j g+1 Represents the g +1 generation variant individual vector;
and 2.6, taking the pumped storage capacity corresponding to the optimal solution as the pumped storage optimal configuration capacity.
Examples
Taking a regional power grid in Gansu as an example for research, wherein the regional power grid comprises 2 thermal power generating units, and the installed power generating capacity is 650MW; the installed capacity of the hydraulic power plant is 910MW, the installed capacity of the wind power plant is 149MA, and the installed capacity of the photovoltaic power plant is 1110MW. The installed capacity of pumped storage power stations is currently being planned. The improved chaotic optimization algorithm adopted by the invention is used for calculation, the total iteration number N is 1000, the original population size NP is 100, the maximum dimension D is 30, the scaling factor y is 0.5, and the initial crossover factor CR0 is 0.4.
The method comprises the following steps of firstly analyzing the output conditions of each power supply in typical days in summer and in winter when no pumped storage is added, and then respectively setting the analysis of different conditions in the scenes of the two typical days in summer and in winter for facilitating the analysis: (1) the output condition of each power supply is obtained after 300MW pumped storage is added; (2) Wind and light basic fluctuation indexes under the condition of different capacities of pumped storage; (3) Comparing the wind-light-water fluctuation rate without adding pumped storage with that with adding 300MW pumped storage; (4) And comparing the wind-light fluctuation rate and the cost under different pumped storage power station capacities.
1. Power output analysis of power supplies in typical days in summer and winter without adding pumped storage
As can be seen from fig. 2, when the pumped storage is not configured, the thermal power generating unit bears the base load in the system, the output fluctuation is large, and the system stability is affected by frequent start and stop; the photovoltaic power generation is influenced by the sunlight intensity and approximately distributed normally, the total sunlight intensity in typical days in summer is high, the photovoltaic power generation capacity is large, and the output peak value is 31.59MW more than that in winter; the wind speed of the wind power generation is high in early morning, the wind speed gradually becomes slow along with the rise of the sunlight intensity until the wind speed rises again near the evening, the generated power of the wind power also begins to rise, and the fluctuation is high at the moment, so that the load is greatly influenced.
On the basis of the existing electric field, the pumped storage power station is built according to local conditions by considering the regional characteristics, and unbalanced and variable energy generated in the power generation process of the new energy power station is converted and stored by the pumped storage power station so as to be converted into stable output.
2. Typical day of summer analysis
2.1. After 300MW pumped storage is added, the output condition of each power supply
The power output schematic diagram of each power supply in the typical day in summer is shown in fig. 2 (a), the power output schematic diagram of each power supply in the typical day in winter is shown in fig. 2 (b), the power output schematic diagram of each power supply in the typical day in summer after being added into the pumped storage power station is shown in fig. 3, and by combining the analysis and comparison of fig. 2 (a) and fig. 2 (b), the fact that the power output of each power supply tends to be stable can be obviously seen in fig. 3, and the pumped storage power station can effectively relieve wind and light fluctuation and achieve stable power output. After the pumping storage is added, the thermal power generating unit can be prevented from being started and stopped frequently, more peak regulation capacity is obtained, and the system operation condition is improved.
2.2. Wind and light basic fluctuation index under different capacity pumped storage
The change of the wind-light basic fluctuation index under different capacities of the pumped storage power station in the typical summer day is shown in fig. 4, and according to fig. 4, the average value of the photovoltaic output power is increased from 33.73M to 40.26MW; the mean value of the output power of the wind turbine generator is reduced from 26.98MW to 13.53MW, the output power of the wind turbine generator gradually fluctuates in the range, the standard deviation is reduced from 3.1 to 0, and the conclusion that the fluctuation range of the active power of the wind turbine generator is continuously reduced along with the increase of the capacity of the accessed pumped storage power station can be obtained.
2.3. Comparison of wind-light-water fluctuation rate between non-pumped storage and 300MW pumped storage
Wind-light-water fluctuation rate when the installed power of the pumped storage power station in the typical day in summer is 0 is shown in fig. 5 (a), wind-light-water fluctuation rate when the installed power of the pumped storage power station in the typical day in summer is 300MW is shown in fig. 5 (b), as can be seen from fig. 5 (a) and 5 (b), the wind-light-water fluctuation rate is changed from 5 inflection points to 0, the maximum value is reduced from 0.29 to 0, and the average value of the fluctuation rates is reduced from 0.04 to 0.001; the maximum value of the photovoltaic output fluctuation rate is reduced to 0.034 from 0.069, the mean value of the fluctuation rate is reduced to 0.005 from 0.008, and the wind and light output fluctuation rate is obviously reduced. Therefore, the pumped storage power station relieves wind and light fluctuation, avoids adverse effects of large-scale wind and light fluctuation on a power grid, and realizes control, regulation and optimization of the output process.
2.4. Wind-solar fluctuation rate and cost comparison under different pumped storage power station capacities
The wind-light fluctuation rate versus cost ratio for different pumped storage power plant capacities is shown in table 1:
TABLE 1
As can be seen from table 1, with the continuous increase of the capacity of the pumped storage power station, the wind and light fluctuation rate gradually tends to be stable until 0.1349, that is, when the installed power of the pumped storage power station is 100MW, the wind and light fluctuation can be obviously inhibited; but when the capacity of the pumped storage power station is 300MW, the running cost of the thermoelectric generator set in the system is the lowest. The whole economic benefit is integrated, and the capacity is selected to be 300MW.
3 typical day of winter analysis
3.1. After 300MW pumped storage is added, the output condition of each power supply
The output schematic diagram of each power supply after the pumped storage power station is added in a typical day in winter is shown in fig. 6, and the comparison of fig. 2 (b) shows that the output of each power supply obviously tends to be stable, the fluctuation of wind power and photovoltaic is stabilized, the stable output of power is realized, the frequent start and stop of a conventional thermal power unit are avoided, and the effect after the pumped storage is added is very obvious.
3.2. Wind and light basic fluctuation index under different capacity pumped storage
The change of the wind-light basic fluctuation index under different capacities of the pumped storage power station in a typical winter day is shown in fig. 7, and as can be seen from fig. 7, the average value of the output power of the wind turbine generator is reduced from 111.49MW to 93.69MW and gradually fluctuates up and down at 93.69MW, the standard deviation is reduced from 3.1 to 0, and it can be seen that the fluctuation amplitude of the wind power active power is continuously reduced along with the increase of the capacity of the accessed pumped storage power station. The mean value of the photovoltaic output power is increased to 65.54MW from 48.83M, the standard deviation is increased first and then is reduced to 8.90, and it can be seen that the fluctuation amplitude of the photovoltaic active power is reduced along with the increase of the capacity of the accessed pumped storage power station.
3.3. Comparison of wind-light-water fluctuation rate between non-pumped storage and 300MW pumped storage
Wind-light-water fluctuation rate when installed power of the pumped storage power station in a typical winter day is 0 is shown in fig. 8 (a), wind-light-water fluctuation rate when installed power of the pumped storage power station in a typical winter day is 300MW is shown in fig. 8 (b), and as can be seen from fig. 8 (a) and 8 (b), wind-light-water fluctuation rate is changed from 6 inflection points to 0, the maximum value is reduced from 0.06 to 0.001, and the average value is reduced from 0.018 to 0; the maximum value of the photovoltaic output fluctuation rate is reduced from 0.0886 to 0.074, the mean value is reduced from 0.0101 to 0.0069, and the wind and light output fluctuation rate is obviously reduced.
3.4. Wind-light fluctuation rate and cost comparison under different pumped storage power station capacities
The wind-light fluctuation rate versus cost ratio for different pumped storage power plant capacities is shown in table 2:
TABLE 2
As can be seen from table 2, with the continuous increase of the capacity of the pumped storage power station, the wind and light fluctuation rate gradually tends to be stable until reaching 0.3268, that is, when the installed power of the pumped storage power station is 300MW, the wind and light fluctuation can be obviously inhibited; at the moment, the cost is in a trend of firstly decreasing and then increasing, and as the pumping power of the pumped storage power station consumes the wind power and the photovoltaic power, the power of the thermal power unit needs to be continuously absorbed, the output of the thermal power unit is increased, and the coal consumption cost is increased. Therefore, the conclusion can be drawn that the capacity of the pumped storage power station is not suitable for blind infinite increase, and 300MW is selected as the best in the typical winter scene.
Through the mode, the pumped storage capacity optimal configuration method based on wind and light fluctuation stabilization realizes stable output of wind and light by utilizing the adjusting capacity of pumped storage, is beneficial to smoothing the output process of wind energy and photovoltaic, reduces the interference on safe and stable operation of a power supply system, optimizes the power structure and stabilizes the safety of a power system, thereby providing decision basis for planning and constructing a pumped storage power station of a regional power grid.
Claims (5)
1. The pumped storage capacity optimal configuration method based on stabilizing wind and light fluctuation is characterized by comprising the following steps:
step 1, establishing a target function according to the lowest daily fluctuation rate of wind power and photovoltaic combined output in a region, and setting a basic fluctuation index; considering the operation cost of the thermal power generating unit and establishing pumped storage power station constraints and unit operation constraints;
and 2, establishing a chaos theoretical mathematical model according to a chaos optimization algorithm, solving the chaos theoretical mathematical model under a constraint condition to obtain an optimal solution of the photovoltaic daily fluctuation rate of the wind power, and taking the pumped storage capacity corresponding to the optimal solution as the pumped storage optimal configuration capacity.
2. The pumped storage capacity optimal configuration method based on wind and light fluctuation stabilization according to claim 1, wherein the concrete process of the step 1 is as follows:
step 1.1, establishing a target function with the lowest daily fluctuation rate of wind power and photovoltaic combined output in a region as follows:
wherein, P' WT 、P′ PV Wind power and photovoltaic fluctuation rate; p WT (t)、P VT (t) respectively representing the power generation power of wind power and photovoltaic at the moment t;
respectively the installed capacities of wind power and photovoltaic power;
setting basic fluctuation indexes, wherein the mean values are respectively as follows:
step 1.3, considering the operation cost of the thermal power generating unit:
in the formula
The cost function of the power generation fuel of the thermal power generating unit; />
The coal consumption cost coefficient of the nth thermal power generating unit is obtained; />
The starting cost of the thermal power generating unit i at the moment t is shown; />
The method comprises the following steps that 1, starting and stopping are carried out on the operating state of a thermal power generating unit i at the moment t, wherein 1 is starting and 0 is stopping; t is the total scheduling time number; />
The output power of the thermal power generating unit i at the moment t;
step 1.3, establishing pumped storage power station constraint and unit operation constraint, wherein the pumped storage power station constraint conditions comprise pumped storage power constraint and water discharge power constraint, water inlet and outlet quantity balance constraint and storage capacity constraint in the operation process, and the unit operation constraint comprises unit power balance constraint, output limit constraint, climbing power constraint, thermal power unit hot standby constraint, hydroelectric generating unit processing constraint and hydroelectric generating unit conversion constraint.
3. The pumped storage capacity optimal configuration method based on wind and light fluctuation stabilization according to claim 2, wherein the pumped storage power station constraint conditions specifically include:
the water pumping power constraint and the water discharging power constraint are as follows:
in the formula: p is h (t) is the water discharge power of the pumped storage power station at the t moment; p p (t) the pumped water absorption power of the pumped water storage power station at the tth moment; gamma ray H And gamma P Respectively 0-1 water discharge state variable and 0-1 water pumping state variable of the pumped storage power station, wherein gamma is H And gamma P 1 cannot be taken simultaneously;
the balance constraint of the water inlet and outlet quantity is as follows:
the library capacity constraint is:
in the formula: v u (t)、V d (t) the storage capacities of the upper and lower reservoirs at time period t; v u,max 、V u,min The upper limit and the lower limit of the storage capacity of the upper reservoir are respectively set; v d,max 、V d,min Respectively the upper limit and the lower limit of the storage capacity of the lower reservoir; eta p 、η g The average water quantity and the electric quantity conversion coefficient during power generation and water pumping are respectively.
4. The pumped storage capacity optimization configuration method based on stabilization of wind and light fluctuation according to claim 2, wherein the unit operation constraints specifically include:
the power balance constraint of the unit is as follows:
in the formula, P Ti,n (t) is the output of the nth thermal power generating unit in the t period, P WA,m (t) is the output of the mth hydroelectric generating set in the t time period, P load (t) load for a period of t;
the output limit constraints are:
in the formula P Tmini 、P Tmaxi The minimum and maximum technical output of a thermal power generating unit i are indicated; p is Hmini 、P Hmaxi The minimum and maximum technical output of the hydroelectric generating set i are indicated;
and (3) climbing power constraint:
in the formula r di 、r ui The lower limit and the upper limit of the climbing rate of the ith thermal power generating unit are indicated;
thermal power unit hot standby constraint:
in the formula: rho represents a hot standby coefficient of the thermal power generating unit;
output restraint of the hydroelectric generating set:
P WA,min ≤P WA,m (t)≤P WA,max (12)
conversion constraint of the hydroelectric generating set:
P WA,m (t)＝η WA,m AQ WA,m (t)h WA,m (t) (13)
in the formula: eta WA,m The conversion efficiency of the mth hydroelectric generating set; a refers to the hydro-electric conversion constant; q WA,m (t) refers to the power generation reference flow of the mth hydroelectric generating set in the t period; h is a total of WA,m (t) is the clear head of the reservoir m at time t.
5. The pumped storage capacity optimal configuration method based on wind and light fluctuation stabilization according to claim 2, wherein the concrete process of the step 2 is as follows:
step 2.1, setting an optimization function as follows:
F＝minf(x) (14)
wherein f (x) represents that a target function is established with the lowest daily fluctuation rate of wind power and photovoltaic combined output in a region;
step 2.2, converting the wind-light fluctuation ratio modeling problem into a chaos optimization variable to obtain an optimal solution problem, wherein the chaos theory mathematical modeling is as follows:
b g+1 ＝u(1-b g ) (15)
wherein g is the number of population generations, b g Represents the resulting sequence b g Is a chaotic variable, b g+1 Representing a sequence after one more iteration, wherein u represents a chaotic parameter;
step 2.3, assuming that the dimension is D, setting the scales of the wind power station and the photovoltaic power station as NP, and expanding an original time sequence B = { B1, B2, \8230 } to a B vector of a D column of an NP row according to the number NP of the wind power station and the photovoltaic power station and the total time period D, wherein the B vector is expressed as:
decomposing to obtain:
x a,d ＝x min,d +b a,d (x max,d -x min,d ) (17)
wherein x is a,d Representing a d-dimensional initial optimization solution of the a-th wind and light power station;
step 2.4, obtaining an initial matrix which is all initial optimization solutions, namely wind-solar fluctuation ratio optimization solutions, through the formula (16) and the formula (17), wherein the initial matrix is expressed as:
2.5, selecting an optimal solution, and judging whether the individual optimal solution is the optimal solution according to the formula (19) to obtain the optimal solution of the wind-light fluctuation rate;
in the formula (19), xw refers to the solution of the filial generation individuals after crossing, and W represents the variant individual vector; w j g+1 Represents the g +1 generation variant individual vector;
and 2.6, taking the pumped storage capacity corresponding to the optimal solution as the pumped storage optimal configuration capacity.
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| Publication number | Priority date | Publication date | Assignee | Title |
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| CN116667446A (en) * | 2023-07-28 | 2023-08-29 | 河海大学 | Capacity allocation method, device, equipment and medium of wind power and pumped storage system |
| CN117293927A (en) * | 2023-11-24 | 2023-12-26 | 中国电建集团贵阳勘测设计研究院有限公司 | Extraction and storage working capacity determining method based on reliable electric quantity support |
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| Publication number | Priority date | Publication date | Assignee | Title |
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| CN116667446A (en) * | 2023-07-28 | 2023-08-29 | 河海大学 | Capacity allocation method, device, equipment and medium of wind power and pumped storage system |
| CN116667446B (en) * | 2023-07-28 | 2023-09-26 | 河海大学 | Capacity allocation method, device, equipment and medium of wind power and pumped storage system |
| CN117293927A (en) * | 2023-11-24 | 2023-12-26 | 中国电建集团贵阳勘测设计研究院有限公司 | Extraction and storage working capacity determining method based on reliable electric quantity support |
| CN117293927B (en) * | 2023-11-24 | 2024-02-06 | 中国电建集团贵阳勘测设计研究院有限公司 | Extraction and storage working capacity determining method based on reliable electric quantity support |
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