CN117713160A - Method, device, equipment and medium for optimally configuring capacity of hybrid pumping and storage station - Google Patents
Method, device, equipment and medium for optimally configuring capacity of hybrid pumping and storage station Download PDFInfo
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Abstract
The invention relates to the technical field of multi-energy complementary power generation, in particular to a capacity optimization configuration method, device, equipment and medium for a hybrid pumping and storage station, which comprises the following steps: the method comprises the steps of (1) establishing an objective function of optimal configuration of the capacity of a pumped storage unit and optimal scheduling in the future by taking the lowest investment cost of a hybrid pumped storage power station and the lowest running cost of each power station as targets; establishing a day-ahead scheduling constraint condition taking step water power of pumped storage unit capacity configuration as a main factor; linearizing nonlinear parts in the objective function and the constraint condition, and constructing a mixed integer linear programming model of cascade hydropower wind-solar fire pumping and storage according to the linearized objective function and the constraint condition; and solving the mixed integer linear programming model to obtain the optimal configuration capacity of the pumped storage unit and the daily optimal scheduling method of the multi-source system under the optimal configuration capacity. According to the invention, the absorption of wind power and photovoltaic power generation and the peak regulation effect of a multi-source system can be fully considered, and the complementary operation of cascade water, wind, light and fire pumping and storage can be realized.
Description
Technical Field
The invention relates to the technical field of multi-energy complementary power generation, in particular to a capacity optimization configuration method, device, equipment and medium for a hybrid pumping and storage station.
Background
With the gradual penetration of energy transformation, the proportion of renewable energy sources such as wind power, photovoltaic power generation and the like which are connected into a power grid is gradually increased, however, the wind power and the photovoltaic power generation are greatly influenced by weather and seasons, inherent uncertainty exists, and the renewable energy source is consumed and the safe and stable operation of the power grid is severely challenged.
The students at home and abroad have conducted extensive researches on the formation of a complementary power generation system by combining a flexibility adjustment energy source with wind power and photovoltaic power generation, and particularly have a stepped water-wind-light complementary power generation system, a water-wind-light storage complementary power generation system, a wind-light-fire storage complementary power generation system and the like, but the flexibility adjustment energy source still has a research space.
In the prior art, a method for building a hybrid pumped storage power station by means of a conventional hydropower station is proposed, and the method utilizes the existing hydropower station reservoir to build the pumped storage power station, so that the investment cost is greatly reduced. However, the research on the optimal capacity allocation of the hybrid pumped storage power station is still less, and particularly, the optimal capacity allocation problem under a multi-source system is still a problem to be solved.
Disclosure of Invention
The invention provides a method, a device, equipment and a medium for optimizing the capacity of a hybrid pumping and storage station, thereby effectively solving the problems in the background technology.
In order to achieve the above purpose, the technical scheme adopted by the invention is as follows: a capacity optimization configuration method for a hybrid pumping and storage station comprises the following steps:
the method comprises the steps of (1) establishing an objective function of optimal configuration of the capacity of a pumped storage unit and optimal scheduling in the future by taking the lowest investment cost of a hybrid pumped storage power station and the lowest running cost of each power station as targets;
establishing a day-ahead scheduling constraint condition taking step water power of pumped storage unit capacity configuration as a main factor;
linearizing nonlinear parts in the objective function and the constraint condition, and constructing a mixed integer linear programming model of cascade hydropower wind-solar fire pumping and storage according to the linearized objective function and the constraint condition;
and solving the mixed integer linear programming model to obtain the optimal configuration capacity of the pumped storage unit and the daily optimal scheduling method of the multi-source system under the optimal configuration capacity.
Further, the establishing the objective function of the pump storage unit capacity optimization configuration and the day-ahead optimization scheduling comprises the following steps:
；
Wherein:
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in the method, in the process of the invention,is annual interest rate; />The service life of the machine set is prolonged; />Investment cost per unit capacity; />Building capacity for the pumping and accumulating unit; />For month->Days of (2); />Number of operating hours per typical day; />And->Penalty costs for the amount of abandoned wind and abandoned light, respectively; />、/>Is->Month typical day->A power generation predicted value of the wind power plant and the photovoltaic power station in a period; />、/>Is->Month typical day->Scheduling plan generating capacity of a time period wind power plant and a photovoltaic power station;for a duration of each time period; />The number of the cascade hydropower stations is the number; />Is->The number of hydroelectric generating sets of the stage hydropower station; />Is->Month typical day->Period->Grade hydropower station->The running state of the bench unit; />Is->Month typical day->Period->Grade hydropower station->The starting cost of the station set; />Penalty cost for water reject; />Is->Month typical day->Period->Reject flow rate of the stage hydropower station; />、/>Respectively->Month typical day->Time period ofThe operation state of the pumping and accumulating unit under the power generation working condition and the pumping working condition; />、/>Respectively +.>The starting cost of the power generation working condition and the water pumping working condition of the pumping storage unit; />、/>、/>The coefficients of a secondary term, a primary term and a constant term of the unit consumption characteristic function are respectively; />The price of the unit coal in the current season; / >Active output of the machine set; />For time->Rotor fracturing cycle times and unit output +.>Related to; />The cost of machine purchasing is set; />The fuel price of the unit in the season;oil is fed to the unit; />Is->Month typical day->Period->The output of the station power generating unit; />Is thatMonth typical day->Period->The operation state of the station power generating unit; />、/>Respectively +.>The starting cost and the stopping cost of the station power generating unit.
Further, the constraint includes:
drawing and storing constraint, the drawing and storing constraint comprises: pumping and accumulating capacity constraint, power balance constraint and pumping and accumulating unit operation constraint;
reservoir constraints, the reservoir constraints comprising: reservoir water balance constraint, reservoir capacity constraint, flow constraint and hydroelectric generating set operation constraint;
a power generation constraint, the power generation constraint comprising: thermal power generating unit constraint, wind power, photovoltaic power generation constraint and system standby constraint.
Further, the pumping constraint includes:
and (3) drawing and storing capacity constraint:
；
wherein,、/>respectively +.>The table pumping and accumulating unit is provided with a minimum value and a maximum value of capacity;
power balance constraint:
；
wherein,、/>respectively->Month typical day->Period->The output of the pump-pumped energy storage unit under the working condition of power generation and pumping; / >Is->Month typical day->Scheduling a predicted load value of the time period;
and (3) operation constraint of the pumping and storage unit:
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；
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wherein,the average water head height of the hybrid pumped storage power station; />、/>Respectively +.>The power generation and pumping efficiency of the pump storage unit; />、/>Respectively->Month typical day->Period->The start and stop operation variables of the pump storage unit under the power generation working condition; />、/>Respectively->Month typical day->Period->The start and stop operation variables of the pump storage unit under the pumping working condition; />、/>Respectively +.>The maximum start-stop times of the pump storage unit in the day under the working condition of power generation and pumping; />、/>Respectively +.>Minimum output coefficient of the pump-pumped energy storage unit under the working condition of power generation and pumping; />、/>Respectively +.>Minimum continuous start-up and stop time of the pump-storage unit under the power generation working condition; />、/>Respectively +.>The pumped storage unit is at the power generation condition to +.>The time period is continuously on and off; />、/>Respectively +.>Minimum continuous start-up and stop time of the pump-storage unit under the pumping working condition; />、/>Respectively +.>The pump storage unit is at the pump condition to +.>The time period has been continuously on and off.
Further, the reservoir constraints include:
Water balance constraint of reservoir:
when the hydropower station reservoir is a mixed pumping and accumulating upper reservoir:
；
when the hydropower station reservoir is a mixed pumping and accumulating lower reservoir:
；
hydropower station reservoir without pumping and storing transformation:
；
；
wherein,is->Month typical day->Period->Reservoir capacity of the grade hydropower station; />Is->Month typical day->Period->The flow rate of an upstream interval of the stage hydropower station; />Is->Month typical day->Period->Reservoir delivery flow of the grade hydropower station; />、/>Respectively->Month typical day->Period->The flow of the pumping and accumulating unit under the working conditions of power generation and pumping; />Is->Month typical day->Period->Grade hydropower station->Generating flow of the hydropower station unit;is->Month typical day->Period->Reject flow rate of the stage hydropower station;
and (3) constraint of storage capacity:
；
；
wherein,、/>respectively +.>Minimum and maximum reservoir capacity of the reservoir of the level hydropower station; />、/>Respectively +.>Initial storage capacity and final storage capacity control targets of the level hydropower station;
flow constraint:
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；
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wherein,is->Month typical day->Period->Grade hydropower station->The operation state of the hydropower station unit; />Maximum water reject flow for the i-th hydropower station; />、/>Respectively->Month typical day->Period->The water pumping energy storage unit is used for generating and pumping water Operating conditions under the working conditions; />、/>Respectively +.>Minimum and maximum power generation flow of the pump storage unit; />、/>Respectively +.>Minimum and maximum pumping flow of the pump storage unit;
and (3) operation constraint of the hydroelectric generating set:
；
；
；
；
wherein,is the density of water; />Gravitational acceleration; />Is->Grade hydropower station->Generating efficiency of the hydroelectric generating set; />Is->Average head height of the grade hydropower station; />、/>Is->Month typical day->Period->Grade hydropower station->Starting and stopping operation variables of the hydroelectric generating set; />、/>Is->Grade hydropower station->Minimum and maximum output force of the hydroelectric generating set; />、/>Respectively +.>Grade hydropower station->Minimum continuous on-off time of the station hydroelectric generating set; />、/>Respectively->Month typical day->Grade hydropower station->Water generator set to->The time period has been continuously on and off.
Further, the power generation constraint includes:
thermal power generating unit constraint:
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wherein,、/>respectively->Month typical day->Period->Starting and stopping operation variables of the thermal power generating unit; />Is->Month typical day->Period->The operation state of the station power generating unit; />、/>Respectively +.>Minimum and maximum output of the station power generating unit; />、/>Respectively +.>Minimum continuous on-off time of the station power generating unit; / >、/>Respectively->Month typical day->Thermal power generating unit to->The time period is continuously on and off;
wind power and photovoltaic power generation constraint:
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system standby constraints:
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wherein,the standby coefficient of the hydroelectric generating set is used; />Is a standby coefficient of the thermal power generating unit.
Further, the linearizing the nonlinear part in the objective function and the constraint condition includes the following steps:
carrying out linearization treatment on coal consumption cost of the thermal power generating unit by using S0S-2 constraint:
dividing the output range of the thermal power generating unit into equal step sizesThe following intervals:
；
wherein the method comprises the steps of、/>Respectively +.>Minimum and maximum output of the station power generating unit;
the output and coal consumption costs of the thermal power generating unit are respectively expressed as:
；
、/>the following constraints are satisfied:
；
wherein,is a continuous variable, used for representing +.>A position in the interval; />Is a binary variable, used for representing +.>The section is located;
linearizing the upper limit and the lower limit of the power generation power of the pumping and storage unit:
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linearizing the constraint of the upper limit and the lower limit of pumping power of the pumping and accumulating unit:
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；
。
further, the solving the mixed integer linear programming model includes:
and (3) adopting a Yalmip to call a Gurobi solver to solve the mixed integer linear programming model to obtain the configuration capacity of the pumped storage unit and the active output of each generator unit in the cascade hydropower station, the wind power station, the photovoltaic power station and the thermal power station and each moment of each typical day of the mixed pumping storage station under the configuration capacity.
The invention also comprises a capacity optimizing configuration device of the hybrid pumping and storing station, which comprises the following steps:
the objective function construction module is used for establishing an objective function of capacity optimal configuration and day-ahead optimal scheduling of the pumped storage unit by taking the lowest investment cost of the hybrid pumped storage power station and the lowest running cost of each power station as targets;
the constraint condition construction module is used for establishing a day-ahead scheduling constraint condition taking step water power of the capacity configuration of the pumped storage unit into account as a main component;
the modeling module is used for linearizing nonlinear parts in the objective function and the constraint condition, and constructing a mixed integer linear programming model of the cascade hydropower wind-solar fire pumping and storage according to the linearized objective function and the constraint condition;
and the solving module is used for solving the mixed integer linear programming model to obtain the optimal configuration capacity of the pumped storage unit and the daily optimal scheduling method of the multi-source system under the optimal configuration capacity.
The invention also includes a computer device comprising a memory, a processor and a computer program stored on the memory and executable on the processor, which processor implements the method as described above when executing the computer program.
The invention also includes a storage medium having stored thereon a computer program which, when executed by a processor, implements a method as described above.
The beneficial effects of the invention are as follows: the invention aims at the lowest investment cost of the hybrid pumped storage power station and the lowest running cost of each power station, and establishes an objective function of capacity optimal allocation and day-ahead optimal scheduling of the pumped storage unit; the method can fully consider the absorption of wind power and photovoltaic power generation and the peak regulation effect of a multi-source system, linearize nonlinear parts in objective functions and constraint conditions, solve the nonlinear parts to obtain the optimal configuration capacity of the pumped storage unit and the day-ahead optimal scheduling method of the multi-source system under the capacity, and realize the complementary operation of the cascade water, wind, light and fire pumping and storage.
Drawings
In order to more clearly illustrate the embodiments of the present invention or the technical solutions in the prior art, the drawings that are required to be used in the embodiments or the description of the prior art will be briefly described below, and it is obvious that the drawings in the following description are only some embodiments described in the present invention, and other drawings may be obtained according to the drawings without inventive effort to those skilled in the art.
FIG. 1 is a flow chart of the method of example 1;
FIG. 2 is a schematic view of the structure of the device in example 1;
fig. 3 is a schematic structural diagram of a multi-source complementary system for cascade water, wind, light and fire pumping and accumulating in embodiment 2;
FIG. 4 is a graph of day-ahead dispatch output results for a typical day 1 (1 month) cogeneration system of example 2;
FIG. 5 is a graph of day-ahead dispatch output results for a typical day 2 (4 month) cogeneration system of example 2;
FIG. 6 is a graph of day-ahead dispatch output results for a typical day 3 (7 month) cogeneration system of example 2;
FIG. 7 is a graph of day-ahead dispatch output results for a typical day 4 (10 month) cogeneration system of example 2;
fig. 8 is a schematic structural diagram of a computer device.
Detailed Description
The following description of the embodiments of the present invention will be made clearly and completely with reference to the accompanying drawings, in which it is apparent that the embodiments described are only some embodiments of the present invention, but not all embodiments.
As shown in fig. 1: a capacity optimization configuration method for a hybrid pumping and storage station comprises the following steps:
the method comprises the steps of (1) establishing an objective function of optimal configuration of the capacity of a pumped storage unit and optimal scheduling in the future by taking the lowest investment cost of a hybrid pumped storage power station and the lowest running cost of each power station as targets;
Establishing a day-ahead scheduling constraint condition taking step water power of pumped storage unit capacity configuration as a main factor;
linearizing nonlinear parts in the objective function and the constraint condition, and constructing a mixed integer linear programming model of cascade hydropower wind-solar fire pumping and storage according to the linearized objective function and the constraint condition;
and solving the mixed integer linear programming model to obtain the optimal configuration capacity of the pumped storage unit and the daily optimal scheduling method of the multi-source system under the optimal configuration capacity.
In the embodiment, the objective function of optimal configuration of the capacity of the pumped storage unit and optimal scheduling in the future is established by taking the lowest investment cost of the hybrid pumped storage power station and the lowest running cost of each power station as targets; the method can fully consider the absorption of wind power and photovoltaic power generation and the peak regulation effect of a multi-source system, linearize nonlinear parts in objective functions and constraint conditions, solve the nonlinear parts to obtain the optimal configuration capacity of the pumped storage unit and the day-ahead optimal scheduling method of the multi-source system under the capacity, and realize the complementary operation of the cascade water, wind, light and fire pumping and storage.
The method for establishing the capacity optimization configuration and the objective function of the day-ahead optimization scheduling of the pumped storage unit comprises the following steps:
；
Wherein:
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；/>
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in the method, in the process of the invention,is annual interest rate; />The service life of the machine set is prolonged; />Investment cost per unit capacity; />Building capacity for the pumping and accumulating unit; />For month->Days of (2); />Number of operating hours per typical day; />And->Penalty costs for the amount of abandoned wind and abandoned light, respectively; />、/>Is->Month typical day->A power generation predicted value of the wind power plant and the photovoltaic power station in a period; />、/>Is->Month typical day->Scheduling plan generating capacity of a time period wind power plant and a photovoltaic power station;for a duration of each time period; />The number of the cascade hydropower stations is the number; />Is->The number of hydroelectric generating sets of the stage hydropower station;is->Month typical day->Period->Grade hydropower station->The running state of the bench unit; />Is->Month typical day->Period->Grade hydropower station->The starting cost of the station set; />Penalty cost for water reject; />Is->Month typical day->Period->Reject flow rate of the stage hydropower station; />、/>Respectively->Month typical day->Period->The operation state of the pumping and accumulating unit under the power generation working condition and the pumping working condition; />、/>Respectively +.>The starting cost of the power generation working condition and the water pumping working condition of the pumping storage unit; />、/>、/>The coefficients of a secondary term, a primary term and a constant term of the unit consumption characteristic function are respectively; />The price of the unit coal in the current season; / >Active output of the machine set; />For time->Rotor fracturing cycle times and unit output +.>Related to; />The cost of machine purchasing is set; />The fuel price of the unit in the season;oil is fed to the unit; />Is->Month typical day->Period->The output of the station power generating unit; />Is->Month typical day->Period->The operation state of the station power generating unit; />、/>Respectively +.>The starting cost and the stopping cost of the station power generating unit.
In the present embodiment, the constraint conditions include:
drawing and storing constraint, drawing and storing constraint includes: pumping and accumulating capacity constraint, power balance constraint and pumping and accumulating unit operation constraint;
reservoir constraints, including: reservoir water balance constraint, reservoir capacity constraint, flow constraint and hydroelectric generating set operation constraint;
power generation constraints, including: thermal power generating unit constraint, wind power, photovoltaic power generation constraint and system standby constraint.
The pumping and accumulating constraint comprises the following steps:
and (3) drawing and storing capacity constraint:
；
wherein,、/>respectively +.>The table pumping and accumulating unit is provided with a minimum value and a maximum value of capacity;
power balance constraint:
；
wherein,、/>respectively->Month typical day->Period->The output of the pump-pumped energy storage unit under the working condition of power generation and pumping; />Is->Month typical day->Scheduling a predicted load value of the time period;
And (3) operation constraint of the pumping and storage unit:
；/>
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；
；
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wherein,the average water head height of the hybrid pumped storage power station; />、/>Respectively +.>The power generation and pumping efficiency of the pump storage unit; />、/>Respectively->Month typical day->Period->The start and stop operation variables of the pump storage unit under the power generation working condition; />、/>Respectively->Month typical day->Period->The start and stop operation variables of the pump storage unit under the pumping working condition; />、/>Respectively +.>The maximum start-stop times of the pump storage unit in the day under the working condition of power generation and pumping; />、/>Respectively +.>Minimum output coefficient of the pump-pumped energy storage unit under the working condition of power generation and pumping; />、/>Respectively +.>Minimum continuous start-up and stop time of the pump-storage unit under the power generation working condition; />、/>Respectively +.>The pumped storage unit is at the power generation condition to +.>The time period is continuously on and off; />、/>Respectively +.>Minimum continuous start-up and stop time of the pump-storage unit under the pumping working condition; />、/>Respectively +.>The pump storage unit is at the pump condition to +.>The time period has been continuously on and off.
Reservoir constraints include:
water balance constraint of reservoir:
when the hydropower station reservoir is a mixed pumping and accumulating upper reservoir:
；
When the hydropower station reservoir is a mixed pumping and accumulating lower reservoir:
；
hydropower station reservoir without pumping and storing transformation:
；
；
wherein,is->Month typical day->Period->Reservoir capacity of the grade hydropower station; />Is->Month typical day->Period->The flow rate of an upstream interval of the stage hydropower station; />Is->Month typical day->Period->Reservoir delivery flow of the grade hydropower station; />、/>Respectively->Month typical day->Period->The flow of the pumping and accumulating unit under the working conditions of power generation and pumping; />Is->Month typical day->Period->Grade hydropower station->Generating flow of the hydropower station unit; />Is->Month typical day->Period->Reject flow rate of the stage hydropower station;
and (3) constraint of storage capacity:
；/>
；
wherein,、/>respectively +.>Minimum and maximum reservoir capacity of the reservoir of the level hydropower station; />、Respectively +.>Initial storage capacity and final storage capacity control targets of the level hydropower station;
flow constraint:
；
；
；
wherein,is->Month typical day->Period->Grade hydropower station->The operation state of the hydropower station unit; />Maximum water reject flow for the i-th hydropower station; />、/>Respectively->Month typical day->Period->The operation state of the pump storage unit under the working condition of power generation and pumping; />、/>Respectively +.>Minimum and maximum power generation flow of the pump storage unit; / >、/>Respectively +.>Minimum and maximum pumping flow of the pump storage unit;
and (3) operation constraint of the hydroelectric generating set:
；
；
；
；
wherein,is the density of water; />Gravitational acceleration; />Is->Grade hydropower station->Generating efficiency of the hydroelectric generating set; />Is->Average head height of the grade hydropower station; />、/>Is->Month typical day->Period->Grade hydropower station->Starting and stopping operation variables of the hydroelectric generating set; />、/>Is->Grade hydropower station->Minimum and maximum output force of the hydroelectric generating set; />、/>Respectively +.>Grade hydropower station->Minimum continuous on-off time of the station hydroelectric generating set; />、/>Respectively->Month typical day->Grade hydropower station->Water generator set to->The time period has been continuously on and off.
The power generation constraints include:
thermal power generating unit constraint:
；
；
；
wherein,、/>respectively->Month typical day->Period->Starting and stopping operation variables of the thermal power generating unit;is->Month typical day->Period->The operation state of the station power generating unit; />、/>Respectively +.>Minimum and maximum output of the station power generating unit; />、/>Respectively +.>Minimum continuous on-off time of the station power generating unit; />、/>Respectively->Month typical day->Thermal power generating unit to->The time period is continuously on and off;
wind power and photovoltaic power generation constraint:
；
；
System standby constraints:
；
；
wherein,the standby coefficient of the hydroelectric generating set is used; />Is a standby coefficient of the thermal power generating unit.
In this embodiment, linearizing the nonlinear part in the objective function and the constraint condition includes the following steps:
carrying out linearization treatment on coal consumption cost of the thermal power generating unit by using S0S-2 constraint:
dividing the output range of the thermal power generating unit into equal step sizesThe following intervals:
；
wherein the method comprises the steps of、/>Respectively +.>Minimum and maximum output of the station power generating unit;
the output and coal consumption costs of the thermal power generating unit are respectively expressed as:
；
、/>the following constraints are satisfied: />
；
Wherein,is a continuous variable, used for representing +.>A position in the interval; />Is a binary variable, used for representing +.>The section is located;
linearizing the upper limit and the lower limit of the power generation power of the pumping and storage unit:
；
；
；
linearizing the constraint of the upper limit and the lower limit of pumping power of the pumping and accumulating unit:
；/>
；
。
the method for solving the mixed integer linear programming model comprises the following steps:
and (3) adopting a Yalmip to call a Gurobi solver to solve the mixed integer linear programming model to obtain the configuration capacity of the pumped storage unit and the active output of each power generating unit in the cascade hydropower station, the wind power plant, the photovoltaic power station and the thermal power station and each moment of each typical day of the mixed pumping power storage station under the configuration capacity.
As shown in fig. 2, this embodiment further includes a device for optimizing and configuring capacity of a hybrid pumping and storage station, where the method includes:
the objective function construction module is used for establishing an objective function of optimal configuration of the capacity of the pumped storage unit and optimal scheduling in the future by taking the lowest investment cost of the hybrid pumped storage power station and the lowest running cost of each power station as targets;
the constraint condition construction module is used for establishing a daily scheduling constraint condition taking step water power of the capacity configuration of the pumped storage unit as a main component;
the modeling module is used for linearizing nonlinear parts in the objective function and the constraint condition, and constructing a mixed integer linear programming model for the cascade hydropower wind-solar fire pumping and storage according to the linearized objective function and the constraint condition;
and the solving module is used for solving the mixed integer linear programming model to obtain the optimal configuration capacity of the pumped storage unit and the daily optimization scheduling method of the multi-source system under the optimal configuration capacity.
Example 2:
in order to show the effectiveness of the peak shaving robust optimal scheduling method for the light complementary power generation in the day-ahead, the invention is explained below with reference to specific application scenes.
As shown in fig. 3, the embodiment of the invention includes three cascade hydroelectric stations, a wind farm, a photovoltaic power station, a thermal power station and a hybrid pumped storage power station with a capacity to be determined, wherein the total capacity of the cascade hydroelectric stations is 542MW, the installed capacity of the wind farm is 450MW, the installed capacity of the photovoltaic power station is 910MW, the installed capacity of the thermal power station is 542MW, and the transmission capacity of the cascade water-light combined power generation system is 3500MW.
Firstly, establishing a capacity optimization configuration and a daily optimization scheduling objective function of the pumped storage unit as follows:
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；
；
wherein,is annual interest rate; />The service life of the machine set is prolonged; />Investment cost per unit capacity; />Building capacity for the pumping and accumulating unit; />For month->Days of (2); />Number of operating hours per typical day; />And->Penalty costs for the amount of abandoned wind and abandoned light, respectively; />、/>Is->Month typical day->A power generation predicted value of the wind power plant and the photovoltaic power station in a period; />、/>Is->Month typical day->Scheduling plan generating capacity of a time period wind power plant and a photovoltaic power station;for a duration of each time period; />The number of the cascade hydropower stations is the number; />Is->The number of hydroelectric generating sets of the stage hydropower station; />Is thatMonth typical day->Period->Grade hydropower station->The running state of the bench unit; / >Is->Month typical day->Period->Grade hydropower station->The starting cost of the station set; />Penalty cost for water reject; />Is->Month typical day->Period->Reject flow rate of the stage hydropower station; />、/>Respectively->Month typical day->Period->The operation state of the pumping and accumulating unit under the power generation working condition and the pumping working condition; />、/>Respectively +.>The starting cost of the power generation working condition and the water pumping working condition of the pumping storage unit; />、/>、/>The coefficients of the secondary term, the primary term and the constant term of the unit consumption characteristic function are respectively related to the unit type, the boiler model and the coal quality; />The price of the unit coal in the current season;active output of the machine set; />For time->Rotor fracturing cycle timesAnd the output of the unit->Related to; />The cost of machine purchasing is set; />The fuel price of the unit in the season; />Oil is fed to the unit; />Is->Month typical day->Period->The output of the station power generating unit; />Is->Month typical day->Period->The operation state of the station power generating unit;、/>respectively +.>Thermal power generating deviceThe starting cost and the stopping cost of the unit.
Then, establishing a daily scheduling constraint condition mainly comprising step hydropower taking capacity allocation of the pumped storage unit into consideration as follows:
1) And (3) drawing and storing capacity constraint:
；
Wherein,、/>respectively +.>The table pumping and accumulating unit is provided with a minimum value and a maximum value of capacity;
2) Power balance constraint:
；
wherein,、/>respectively->Month typical day->Period->The output of the pump-pumped energy storage unit under the working condition of power generation and pumping; />Is->Month typical day->Scheduling a predicted load value of the time period;
3) Water balance constraint of reservoir:
when the hydropower station reservoir is a mixed pumping and accumulating upper reservoir:
；
when the hydropower station reservoir is a mixed pumping and accumulating lower reservoir:
；
hydropower station reservoir without pumping and storing transformation:
；
；
wherein,is->Month typical day->Period->Reservoir capacity of the grade hydropower station; />Is->Month typical day->Period->The flow rate of an upstream interval of the stage hydropower station; />Is->Month typical day->Period->Reservoir delivery flow of the grade hydropower station; />、/>Respectively->Month typical day->Period->The flow of the pumping and accumulating unit under the working conditions of power generation and pumping; />Is->Month typical day->Period->Grade hydropower station->Generating flow of the hydropower station unit; />Is->Month typical day->Period->Reject flow rate of the stage hydropower station;
the step hydroelectric parameters are shown in Table 1:
4) And (3) constraint of storage capacity:
；
；
wherein,、/>respectively +.>Minimum and maximum reservoir capacity of the reservoir of the level hydropower station; / >、/>Respectively +.>Initial storage capacity and final storage capacity control targets of the level hydropower station;
5) Flow constraint:
；/>
；
；
wherein,is->Month typical day->Period->Grade hydropower station->The operation state of the hydropower station unit;maximum water reject flow for the i-th hydropower station; />、/>Respectively->Month typical day->Time period ofThe operation state of the pump storage unit under the working condition of power generation and pumping; />、/>Respectively +.>Minimum and maximum power generation flow of the pump storage unit; />、/>Respectively +.>Minimum and maximum pumping flow of the pump storage unit;
6) And (3) operation constraint of the hydroelectric generating set:
；
；
；
；
wherein,is the density of water; />Gravitational acceleration; />Is->Grade hydropower station->Generating efficiency of the hydroelectric generating set; />Is->Average head height of the grade hydropower station; />、/>Is->Month typical day->Period->Grade hydropower station->Starting and stopping operation variables of the hydroelectric generating set; />、/>Is->Stage hydropower stationMinimum and maximum output force of the hydroelectric generating set; />、/>Respectively +.>Grade hydropower station->Minimum continuous on-off time of the station hydroelectric generating set; />、/>Respectively->Month typical day->Grade hydropower station->Water generator set to->The time period is continuously on and off; />
7) And (3) operation constraint of the pumping and storage unit:
；
；
；
；
；
Wherein,the average water head height of the hybrid pumped storage power station; />、/>Respectively +.>The power generation and pumping efficiency of the pump storage unit; />、/>Respectively->Month typical day->Period->The start and stop operation variables of the pump storage unit under the power generation working condition; />、/>Respectively->Month typical day->Period->The start and stop operation variables of the pump storage unit under the pumping working condition; />、/>Respectively +.>The maximum start-stop times of the pump storage unit in the day under the working condition of power generation and pumping; />、/>Respectively +.>Minimum output coefficient of the pump-pumped energy storage unit under the working condition of power generation and pumping; />、/>Respectively +.>Minimum continuous start-up and stop time of the pump-storage unit under the power generation working condition; />、/>Respectively +.>The pumped storage unit is at the power generation condition to +.>The time period is continuously on and off; />、/>Respectively +.>Minimum continuous start-up and stop time of the pump-storage unit under the pumping working condition; />、/>Respectively +.>The pump storage unit is at the pump condition to +.>The time period is continuously on and off;
8) Thermal power generating unit constraint:
；
；
；
wherein,、/>respectively->Month typical day->Period->Starting and stopping operation variables of the thermal power generating unit; />Is->Month typical day- >Period->The operation state of the station power generating unit; />、/>Respectively +.>Minimum and maximum output of the station power generating unit; />、/>Respectively +.>Minimum continuous on-off time of the station power generating unit; />、/>Respectively->Month typical day->Thermal power generating unit to->The time period is continuously on and off;
the parameters of the thermal power generating unit are shown in table 2:
9) Wind power and photovoltaic power generation constraint:
；
；
the predicted values of wind power output are shown in Table 3:
TABLE 3 predicted wind output values
The predicted photovoltaic power generation output values are shown in table 4:
TABLE 4 predicted photovoltaic Power Generation output values
10 System standby constraints):
；
；
wherein,the standby coefficient of the hydroelectric generating set is used; />Is a standby coefficient of the thermal power generating unit.
And then linearizing nonlinear parts in the objective function and the constraint condition, and constructing a mixed integer linear programming model of cascade water, wind, light and fire pumping and storage according to the linearized objective function and the constraint condition:
1) And (3) linearizing the coal consumption cost of the thermal power unit by adopting SOS-2 constraint:
the output range of the thermal power generating unit can be divided into a plurality of stepsInterval: />
；
Thermal power unit output and coal consumption costs can be expressed as:
；
、/>the following constraints are satisfied:
；
wherein,is a continuous variable, used for representing +.>A position in the interval; / >Is a binary variable, used for representing +.>The section is located;
2) Linearizing the generation power of the pumping and accumulating unit and the upper limit and lower limit constraint of the pumping power:
linearizing the upper limit and the lower limit of the power generation power of the pumping and storage unit:
；
；
；
linearizing the constraint of the upper limit and the lower limit of pumping power of the pumping and accumulating unit:
；
；
；
finally, a Yalmip is adopted to call a Gurobi solver to solve the mixed integer linear programming model of the cascade water, wind, light and fire pumping and accumulating, and the configuration capacity of the pumped storage unit is obtained as followsThe day-ahead scheduling schemes for four typical days of the cascade water, wind, light, fire and energy complementary combined power generation system are obtained, and are shown in fig. 4, 5, 6, 7 and table 5.
Table 5 step water, wind, light and fire pumping and accumulating complementary combined power generation system day-ahead scheduling scheme
Please refer to fig. 8, which illustrates a schematic structural diagram of a computer device provided in an embodiment of the present application. The embodiment of the present application provides a computer device 400, including: a processor 410 and a memory 420, the memory 420 storing a computer program executable by the processor 410, which when executed by the processor 410 performs the method as described above.
The present embodiment also provides a storage medium 430, on which storage medium 430 a computer program is stored which, when executed by the processor 410, performs a method as above.
The storage medium 430 may be implemented by any type or combination of volatile or nonvolatile Memory devices, such as static random access Memory (Static Random Access Memory, SRAM), electrically erasable Programmable Read-Only Memory (Electrically Erasable Programmable Read-Only Memory, EEPROM), erasable Programmable Read-Only Memory (Erasable Programmable Read Only Memory, EPROM), programmable Read-Only Memory (PROM), read-Only Memory (ROM), magnetic Memory, flash Memory, magnetic disk, or optical disk.
In the description of the present invention, the terms "first," "second," and the like are used for descriptive purposes only and are not to be construed as indicating or implying relative importance or implicitly indicating the number of technical features indicated. Thus, a feature defining "a first" or "a second" may explicitly or implicitly include one or more such feature. The meaning of "a plurality of" is two or more, unless specifically defined otherwise.
In the present invention, unless explicitly specified and limited otherwise, the terms "mounted," "connected," "secured," and the like are to be construed broadly, and may be, for example, fixedly connected, detachably connected, or integrally formed; can be mechanically or electrically connected; can be directly connected or indirectly connected through an intermediate medium, and can be communicated with the inside of two elements or the interaction relationship of the two elements. The specific meaning of the above terms in the present invention can be understood by those of ordinary skill in the art according to the specific circumstances.
In the description of the present specification, a description referring to terms "one embodiment," "some embodiments," "examples," "specific examples," or "some examples," etc., means that a particular feature, structure, material, or characteristic described in connection with the embodiment or example is included in at least one embodiment or example of the present invention. In this specification, schematic representations of the above terms are not necessarily for the same embodiment or example. Furthermore, the particular features, structures, materials, or characteristics described may be combined in any suitable manner in any one or more embodiments or examples. Furthermore, the different embodiments or examples described in this specification and the features of the different embodiments or examples may be combined and combined by those skilled in the art without contradiction.
Any process or method descriptions in flow charts or otherwise described herein may be understood as representing modules, segments, or portions of code which include one or more executable instructions for implementing specific logical functions or steps of the process, and further implementations are included within the scope of the preferred embodiment of the present invention in which functions may be executed out of order from that shown or discussed, including substantially concurrently or in reverse order, depending on the functionality involved, as would be understood by those reasonably skilled in the art of the present invention.
Logic and/or steps represented in the flowcharts or otherwise described herein, e.g., a ordered listing of executable instructions for implementing logical functions, can be embodied in any computer-readable medium for use by or in connection with an instruction execution system, apparatus, or device, such as a computer-based system, processor-containing system, or other system that can fetch the instructions from the instruction execution system, apparatus, or device and execute the instructions. For the purposes of this description, a "computer-readable medium" can be any means that can contain, store, communicate, propagate, or transport the program for use by or in connection with the instruction execution system, apparatus, or device. More specific examples (a non-exhaustive list) of the computer-readable medium would include the following: an electrical connection (electronic device) having one or more wires, a portable computer diskette (magnetic device), a Random Access Memory (RAM), a read-only memory (ROM), an erasable programmable read-only memory (EPROM or flash memory), an optical fiber device, and a portable compact disc read-only memory (CDROM). In addition, the computer readable medium may even be paper or other suitable medium on which the program is printed, as the program may be electronically captured, via, for instance, optical scanning of the paper or other medium, then compiled, interpreted or otherwise processed in a suitable manner, if necessary, and then stored in a computer memory.
It is to be understood that portions of the present invention may be implemented in hardware, software, firmware, or a combination thereof. In the above-described embodiments, the various steps or methods may be implemented in software or firmware stored in a memory and executed by a suitable instruction execution system. For example, if implemented in hardware, as in another embodiment, may be implemented using any one or combination of the following techniques, as is well known in the art: discrete logic circuits having logic gates for implementing logic functions on data signals, application specific integrated circuits having suitable combinational logic gates, programmable Gate Arrays (PGAs), field Programmable Gate Arrays (FPGAs), and the like.
Those of ordinary skill in the art will appreciate that all or a portion of the steps carried out in the method of the above-described embodiments may be implemented by a program to instruct related hardware, where the program may be stored in a computer readable storage medium, and where the program, when executed, includes one or a combination of the steps of the method embodiments.
The above-mentioned storage medium may be a read-only memory, a magnetic disk or an optical disk, or the like. While embodiments of the present invention have been shown and described above, it will be understood that the above embodiments are illustrative and not to be construed as limiting the invention, and that variations, modifications, alternatives and variations may be made to the above embodiments by one of ordinary skill in the art within the scope of the invention.
Claims (11)
1. The capacity optimizing configuration method for the hybrid pumping and storage station is characterized by comprising the following steps of:
the method comprises the steps of (1) establishing an objective function of optimal configuration of the capacity of a pumped storage unit and optimal scheduling in the future by taking the lowest investment cost of a hybrid pumped storage power station and the lowest running cost of each power station as targets;
establishing a day-ahead scheduling constraint condition taking step water power of pumped storage unit capacity configuration as a main factor;
linearizing nonlinear parts in the objective function and the constraint condition, and constructing a mixed integer linear programming model of cascade hydropower wind-solar fire pumping and storage according to the linearized objective function and the constraint condition;
and solving the mixed integer linear programming model to obtain the optimal configuration capacity of the pumped storage unit and the daily optimal scheduling method of the multi-source system under the optimal configuration capacity.
2. The method for optimizing capacity allocation of a hybrid pumping and storage station according to claim 1, wherein the establishing an objective function of capacity allocation and day-ahead optimization scheduling of a pumping and storage unit comprises:
；
wherein:
；
；
；
；
；
；
；
；
；
；
；
in the method, in the process of the invention,for annual interest rate；/>The service life of the machine set is prolonged; />Investment cost per unit capacity; />Building capacity for the pumping and accumulating unit; />Is- >Days of the month; />Number of operating hours per typical day; />And->Penalty costs for the amount of abandoned wind and abandoned light, respectively; />、/>Is->Month typical day->A power generation predicted value of the wind power plant and the photovoltaic power station in a period; />、Is->Month typical day->Scheduling plan generating capacity of a time period wind power plant and a photovoltaic power station; />For a duration of each time period;the number of the cascade hydropower stations is the number; />Is->The number of hydroelectric generating sets of the stage hydropower station; />Is->Month typical day->Period->Grade hydropower station->The running state of the bench unit; />Is->Month typical day->Period->Grade hydropower station->The starting cost of the station set; />Penalty cost for water reject; />Is->Month typical day->Period->Reject flow rate of the stage hydropower station; />、/>Respectively->Month typical day->Period->The operation state of the pumping and accumulating unit under the power generation working condition and the pumping working condition;/>、/>respectively +.>The starting cost of the power generation working condition and the water pumping working condition of the pumping storage unit;、/>、/>the coefficients of a secondary term, a primary term and a constant term of the unit consumption characteristic function are respectively; />The price of the unit coal in the current season; />Active output of the machine set; />For time->Rotor fracturing cycle times and unit output +.>Related to; />The cost of machine purchasing is set; / >The fuel price of the unit in the season; />Oil is fed to the unit; />Is->Month typical day->Time period ofThe output of the station power generating unit; />Is->Month typical day->Period->The operation state of the station power generating unit; />、Respectively +.>The starting cost and the stopping cost of the station power generating unit.
3. The method for optimizing and configuring capacity of a hybrid pumping and storage station according to claim 1, wherein the constraint condition comprises:
drawing and storing constraint, the drawing and storing constraint comprises: pumping and accumulating capacity constraint, power balance constraint and pumping and accumulating unit operation constraint;
reservoir constraints, the reservoir constraints comprising: reservoir water balance constraint, reservoir capacity constraint, flow constraint and hydroelectric generating set operation constraint;
a power generation constraint, the power generation constraint comprising: thermal power generating unit constraint, wind power, photovoltaic power generation constraint and system standby constraint.
4. The method for optimizing configuration of capacity of a hybrid pumping and storage station according to claim 3, wherein the pumping and storage constraint comprises:
and (3) drawing and storing capacity constraint:
；
wherein,、/>respectively +.>The table pumping and accumulating unit is provided with a minimum value and a maximum value of capacity;
power balance constraint:
；
wherein,、/>respectively->Month typical day->Period->The output of the pump-pumped energy storage unit under the working condition of power generation and pumping; / >Is->Month typical day->Scheduling a predicted load value of the time period;
and (3) operation constraint of the pumping and storage unit:
；
；
；
；
；
wherein,the average water head height of the hybrid pumped storage power station;/>、/>respectively +.>The power generation and pumping efficiency of the pump storage unit; />、/>Respectively->Month typical day->Period->The start and stop operation variables of the pump storage unit under the power generation working condition; />、/>Respectively->Month typical day->Period->The start and stop operation variables of the pump storage unit under the pumping working condition; />、/>Respectively +.>The maximum start-stop times of the pump storage unit in the day under the working condition of power generation and pumping; />、/>Respectively +.>Minimum output coefficient of the pump-pumped energy storage unit under the working condition of power generation and pumping; />、/>Respectively +.>Minimum continuous start-up and stop time of the pump-storage unit under the power generation working condition; />、/>Respectively +.>The pumped storage unit is at the power generation condition to +.>The time period is continuously on and off; />、/>Respectively +.>Minimum continuous start-up and stop time of the pump-storage unit under the pumping working condition; />、/>Respectively +.>The pump storage unit is at the pump condition to +.>The time period has been continuously on and off.
5. The method for optimizing capacity of a hybrid pumping and storage station according to claim 3, wherein the reservoir constraint comprises:
Water balance constraint of reservoir:
when the hydropower station reservoir is a mixed pumping and accumulating upper reservoir:
；
when the hydropower station reservoir is a mixed pumping and accumulating lower reservoir:
；
hydropower station reservoir without pumping and storing transformation:
；
；
wherein,is->Month typical day->Period->Reservoir capacity of the grade hydropower station; />Is->Month and typical dayPeriod->The flow rate of an upstream interval of the stage hydropower station; />Is->Month typical day->Period->Reservoir delivery flow of the grade hydropower station; />、/>Respectively->Month typical day->Period->The flow of the pumping and accumulating unit under the working conditions of power generation and pumping; />Is->Month typical day->Period->Grade hydropower station->Generating flow of the hydropower station unit;is->Month typical day->Period->Reject flow rate of the stage hydropower station;
and (3) constraint of storage capacity:
；
；
wherein,、/>respectively +.>Minimum and maximum reservoir capacity of the reservoir of the level hydropower station; />、/>Respectively +.>Initial storage capacity and final storage capacity control targets of the level hydropower station;
flow constraint:
；
；
；
wherein,is->Month typical day->Period->Grade hydropower station->The operation state of the hydropower station unit;maximum water reject flow for the i-th hydropower station; />、/>Respectively->Month typical day->Time period ofThe operation state of the pump storage unit under the working condition of power generation and pumping; / >、/>Respectively +.>Minimum and maximum power generation flow of the pump storage unit; />、/>Respectively +.>Minimum and maximum pumping flow of the pump storage unit;
and (3) operation constraint of the hydroelectric generating set:
；
；
；
；
wherein,is the density of water; />Gravitational acceleration; />Is->Grade hydropower station->Generating efficiency of the hydroelectric generating set; />Is->Average head height of the grade hydropower station; />、/>Is->Month typical day->Period->Grade hydropower station->Starting and stopping operation variables of the hydroelectric generating set; />、/>Is->Stage hydropower station/>Minimum and maximum output force of the hydroelectric generating set; />、/>Respectively +.>Grade hydropower station->Minimum continuous on-off time of the station hydroelectric generating set; />、/>Respectively->Month typical day->Grade hydropower station->Water generator setThe time period has been continuously on and off.
6. The method for optimizing configuration of capacity of a hybrid pumping and storage station according to claim 3, wherein the power generation constraint comprises:
thermal power generating unit constraint:
；
；
；
wherein,、/>respectively->Month typical day->Period->Starting and stopping operation variables of the thermal power generating unit;is->Month typical day->Period->The operation state of the station power generating unit; />、/>Respectively the firstMinimum and maximum output of the station power generating unit; / >、/>Respectively +.>Minimum continuous on-off time of the station power generating unit; />、/>Respectively->Month typical day->Thermal power generating unit to->The time period is continuously on and off;
wind power and photovoltaic power generation constraint:
；
；
system standby constraints:
；
；
wherein,the standby coefficient of the hydroelectric generating set is used; />Is a standby coefficient of the thermal power generating unit.
7. The method for optimizing configuration of capacity of a hybrid pumping and storage station according to claim 1, wherein linearizing the nonlinear part in the objective function and the constraint condition comprises the following steps:
carrying out linearization treatment on coal consumption cost of the thermal power generating unit by using S0S-2 constraint:
dividing the output range of the thermal power generating unit into equal step sizesThe following intervals:
；
wherein the method comprises the steps of、/>Respectively +.>Minimum and maximum output of the station power generating unit;
the output and coal consumption costs of the thermal power generating unit are respectively expressed as:
；
、/>the following constraints are satisfied:
；
wherein,is a continuous variable, used for representing +.>A position in the interval; />Is a binary variable, used for representing +.>The section is located;
linearizing the upper limit and the lower limit of the power generation power of the pumping and storage unit:
；
；
；
linearizing the constraint of the upper limit and the lower limit of pumping power of the pumping and accumulating unit:
；
；
。
8. the method for optimizing configuration of capacity of a hybrid pumping and storage station according to claim 1, wherein the solving the hybrid integer linear programming model comprises:
And (3) adopting a Yalmip to call a Gurobi solver to solve the mixed integer linear programming model to obtain the configuration capacity of the pumped storage unit and the active output of each generator unit in the cascade hydropower station, the wind power station, the photovoltaic power station and the thermal power station and each moment of each typical day of the mixed pumping storage station under the configuration capacity.
9. A capacity optimizing configuration device for a hybrid pumping and storage station, characterized in that the method according to any one of claims 1 to 8 is used, comprising:
the objective function construction module is used for establishing an objective function of capacity optimal configuration and day-ahead optimal scheduling of the pumped storage unit by taking the lowest investment cost of the hybrid pumped storage power station and the lowest running cost of each power station as targets;
the constraint condition construction module is used for establishing a day-ahead scheduling constraint condition taking step water power of the capacity configuration of the pumped storage unit into account as a main component;
the modeling module is used for linearizing nonlinear parts in the objective function and the constraint condition, and constructing a mixed integer linear programming model of the cascade hydropower wind-solar fire pumping and storage according to the linearized objective function and the constraint condition;
And the solving module is used for solving the mixed integer linear programming model to obtain the optimal configuration capacity of the pumped storage unit and the daily optimal scheduling method of the multi-source system under the optimal configuration capacity.
10. A computer device comprising a memory, a processor and a computer program stored on the memory and executable on the processor, wherein the processor implements the method of any of claims 1-8 when executing the computer program.
11. A storage medium having stored thereon a computer program which, when executed by a processor, implements the method of any of claims 1-8.
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| YANG LI 等: "Optimal Capacity Configuration of Pumped-Storage Units Used to Retrofit Cascaded Hydropower Stations", ENERGIES, 13 December 2023 (2023-12-13), pages 1 - 22 * |
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