CN115983589A - Multi-type power supply time sequence planning method and system under long-time scale - Google Patents
Multi-type power supply time sequence planning method and system under long-time scale Download PDFInfo
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- 238000000034 method Methods 0.000 title claims abstract description 29
- 238000004146 energy storage Methods 0.000 claims abstract description 100
- 238000010276 construction Methods 0.000 claims abstract description 23
- 238000010248 power generation Methods 0.000 claims abstract description 19
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Abstract
The invention provides a multi-type power supply time sequence planning method and a multi-type power supply time sequence planning system under a long time scale, which take minimized cost as a target to obtain a target function; the objective function at least comprises the investment cost and the operation cost of the power supply in a planning period; determining a first constraint condition; the first constraint condition is at least related to output characteristics and planned capacity of a generator set, and the generator set is a multi-type power supply; determining a second constraint condition; the second constraint condition is at least related to the electric power and electric quantity balance and the energy storage characteristic of the energy storage device; solving the objective function based on the first constraint condition and the second constraint condition to obtain constant volume construction schemes of different time nodes of the generator set and the energy storage equipment in the planning period; the medium-term and long-term capacity construction arrangement of the multi-type power supply and the energy storage equipment is planned, so that the balance of power and electric quantity of power supply under a long-time scale is guaranteed, and the cleanness and low carbon performance of power generation are guaranteed.
Description
Technical Field
The invention relates to the technical field of power supply planning of power systems, in particular to a multi-type power supply time sequence planning method and system under a long time scale.
Background
At present, china is accelerating to build a novel power system taking new energy as a main body, new energy is vigorously developed, traditional energy is gradually withdrawn on the basis of safe and reliable replacement of the new energy, electric power decarburization is accelerated, and clean energy transformation is promoted. The investment of new energy generating sets such as wind power, hydropower and the like is beneficial to reducing the carbon emission of power supply and improving the cleanness of energy supply, but the uncertainty of output of the new energy generating sets is often high, great difficulty is caused to power and electricity balance under a long time scale, the difficulty in investment and constant volume of various types of generating sets is large, in addition, the current existing power supply planning scheme is often oriented to medium and short time scales, the planning scheme lacks foresight and flexibility, and the future power demand and policy guidance are difficult to deal with and meet.
In view of the above, the present application provides a method and a system for planning a multi-type power source timing sequence under a long-time scale, which help to realize long-time scale power and electricity quantity balance of power output by introducing a hydrogen energy storage technology in cooperation with the output of a multi-type power source unit, and make a unit capacity planning strategy facing the long-time scale at different time nodes as a basis for guiding power planning construction.
Disclosure of Invention
The invention aims to provide a multi-type power supply time sequence planning method under a long time scale, which comprises the steps of taking minimized cost as a target and obtaining a target function; the objective function at least comprises the investment cost and the operation cost of the power supply in a planning period; determining a first constraint condition; the first constraint condition is at least related to output characteristics and planned capacity of a generator set, and the generator set is a multi-type power supply; determining a second constraint condition; the second constraint condition is at least related to the electric power electric quantity balance and the energy storage characteristic of the energy storage device; and solving the objective function based on the first constraint condition and the second constraint condition to obtain a constant volume construction scheme of the generator set and the energy storage equipment at different time nodes in the planning period.
Further, the objective function is:
wherein, C inv Representing the power supply investment cost; c ope Representing the operating cost; i is as large as omega Hy The unit i is represented as a hydrogen energy storage device omega Hy (ii) a D represents the number of days of the selected typical day; t is the typical hours in the typical day; u shape Hyd，i，d，t And a state variable indicating a change in charge/discharge state.
Further, the power supply investment cost C inv Comprises the following steps:
Ω＝{Ω Th ，Ω Wi ，Ω Wa ，Ω Hy ，...}
wherein a represents the number of years of the planning cycle, a =1,2,3.. A; Ω represents a set of categories of the generator set and the energy storage device, including at leastOmega of thermal power generating unit Th Omega of a wind turbine Wi Omega of hydroelectric generating set Wa And hydrogen energy storage device omega Hy ；X a，i Indicating whether the generator set or the hydrogen energy storage device i is installed in year a, X a，i =1 represents mounting, X a，i =0 means uninstalled; r represents the discount rate; c i Represents the installation cost per unit capacity of the generator set or the hydrogen energy storage device i; k represents the operating age of the generator set or the hydrogen energy storage device; s. the i And representing the planned installation capacity of the generator set i or the planned construction capacity of the hydrogen energy storage device i.
Further, the running cost C ope Comprises the following steps:
wherein a represents the number of years of the planning cycle, a =1,2,3.. A; r represents the discount rate;
represents the power generation cost of the year a; />
Representing the start-stop cost of the generator set in the a year; />
Representing the load shedding loss cost of the generator set in the a year; />
Representing the cost of wind and water abandonment in the a year; />
Represents the carbon emission cost of year a; />
Representing the hydrogen energy storage and hydrogen production benefit in the a year.
Further, the electricity generation cost of the year a
The formula of (1) is as follows:
the start and stop cost of the generator set in the a year
The formula of (1) is as follows:
the cost of shedding load loss of the generator set in the a year
The formula of (1) is:
the cost of wind and water abandonment in the a year
The formula of (1) is as follows:
cost of carbon emissions of said year a
The formula of (1) is:
the hydrogen energy storage hydrogen production benefit of the year a
The formula of (1) is as follows:
wherein omega Th Indicating the thermal power unit, Ω Wi Denotes the wind turbine generator, Ω Wa Representing a hydroelectric generating set; x a,i Indicating whether the generator set i is installed in year a, X a,i =1 represents mounting, X a,i =0 represents unmounted; s i Representing a planned installation capacity of the generator set i; c G,i Representing the unit power generation cost with the unit type i; t is a unit of H,i Representing the number of hours of utilization of the generator set i; d represents the number of days of the selected typical day; t represents the typical number of hours in the typical day; c s,i Representing the unit capacity start-stop cost of the generator set type i; s. the c,i,d Representing the starting and stopping capacity of the generator set i on the d typical day of the a year; c c Expressing the unit load shedding cost;
the load shedding size at the ttematerial time of the ttematerial day of the a-th year is represented; c A,Wi And C A,Wa Respectively representing punishment factors of wind power and hydropower; />
And &>
Respectively representing the predicted output power of wind power and hydropower; />
And
respectively representing the actual output power of wind power and hydropower; c E Represents a carbon tax; gamma represents the carbon conversion coefficient of the coal cost; c. C i,E,2 、c i,E,1 And c i,E,0 Respectively representing cost parameters; />
Representing the actual output magnitude of the thermal power generating unit i at the tth typical moment on the tth typical day; c H,put And C H,in Respectively representing the unit benefit of hydrogen sale and the unit cost of hydrogen production; h out,t And H in, Respectively representing the output and input hydrogen quantities at typical times t.
Further, the first constraint condition at least includes:
construction period constraint:
wherein A represents the number of years of the planning cycle; x is a radical of a fluorine atom a,i Indicating whether the generator set i was installed in year a, X a,i =1 represents mounting, X a,i =0 represents unmounted; omega Th Indicating the thermal power unit, Ω Wi Representing wind turbine generator, omega Wa Representing a hydroelectric generating set;
planning capacity constraint:
wherein, X i,a Indicating whether the generator set i is installed in the a-th year; s i Representing a planned installation capacity of the generator set i;
to indicate toMeasuring the total power demand; />
Represents the total amount of power reserve;
standby constraint:
wherein R is U And R D Respectively representing positive and negative standby requirements; j represents the minimum maximum output ratio;
and &>
Respectively represents the maximum and minimum loads of typical days d;
and (3) limiting the upper and lower output limits of the thermal power generating unit:
wherein, I i,a,d,t =1 indicates that the thermal power generating unit I is started at the tth typical time on the d typical day in the a year, and I i,a,d,t =0 for shutdown;
and &>
Respectively representing the maximum output and the minimum output of the unit i at the tth typical moment on the tth typical day of the a year; p is i,a,d,t The actual output of the generator set i;
output constraint of wind power and hydroelectric generating set:
wind and water abandoning amount restriction of wind power and hydroelectric generating set
Wherein D represents the number of days of the selected typical day; t is the typical number of hours in the typical day;
and
respectively representing the total amount of wind power generation and hydroelectric generation; />
And &>
Respectively representing the wind and water abandoning amount; />
And &>
Respectively representing the total amount of the wind and water abandoning allowed;
the method comprises the following steps of (1) climbing constraint of the thermal power generating unit at different typical moments in a typical day:
wherein R is Th Representing the climbing rate of the thermal power generating unit;
and &>
Respectively representing the power of the thermal power generating unit at typical time t and t-1;
power balance constraints per time instant:
wherein,
represents the output electrical power of the hydrogen energy storage device; />
Representing the total predicted load of the user; />
The magnitude of the load shedding at the ttematerial time on the ttematerial day in the a-th year is shown.
Further, the energy storage device is a hydrogen energy storage device, and the second constraint condition at least includes:
installation time constraints of the hydrogen energy storage device:
wherein a represents the number of years of the planning cycle, a =1,2,3 \ 8230A；X a,i Indicates whether the hydrogen energy storage device i is installed in year a, X a,i =1 represents mounting, X a,i =0 means uninstalled; omega Hy Represents a hydrogen energy storage device;
capacity constraint of the storage and discharge process:
H Hy,t ＝H Hy,t-1 +H in,t -H out,t
wherein H Hy,t And H Hy,t-1 Representing the hydrogen production at typical times t and t-1, respectively; h in,t Represents the output hydrogen capacity; x is a radical of a fluorine atom Hyd,t =1 denotes energy storage hydrogen production process, x Hyd,t =0 represents a power generation process; beta is a beta in And beta out Respectively representing the conversion efficiency of hydrogen production by electricity and the conversion efficiency of hydrogen production by electricity; p in And P put Respectively representing the input electric power and the output electric power,
and &>
Respectively representing the conversion time of hydrogen production and electricity production;
the capacity size constraint of the hydrogen energy storage device is as follows:
wherein,
and &>
Respectively representing the minimum and maximum capacities of the hydrogen energy storage device; />
And &>
Respectively representing the minimum and maximum hydrogen amounts of input hydrogen; />
And &>
Respectively representing the minimum and maximum hydrogen amounts of output hydrogen;
in the scheduling period, the initial and ending state constraints of the energy storage are as follows:
wherein x is Hyd,a,0 Representing an initial state of stored energy; x is a radical of a fluorine atom Hyd,a,D Indicating the end state of energy storage;
and (4) constraint of electricity storage times:
wherein, U Hyd,i,a The number of times of charge and discharge conversion in the a-year; n is a radical of hydrogen Hyd,i,a And x Hyd,A Respectively representing the maximum times of the stored electricity conversion in the a-th year and the whole planning period A; d represents the number of days of the selected typical day; t is the typical number of hours in the typical day.
Further, solving the objective function based on the first constraint condition and the second constraint condition to obtain a constant volume construction scheme of the generator set and the energy storage equipment at different time nodes in the planning period, which comprises
Converting a nonlinear constraint of the first constraint and the second constraint into a linear constraint;
and solving an objective function through a mixed integer linear programming algorithm based on all linear constraint conditions to obtain a constant volume construction scheme of the generator set and the energy storage equipment at different time nodes in the planning period.
Further, the formula converted into the linear constraint condition includes:
U Hyd,i,d,t ≥x Hyd,i,d,t -x Hyd,i,d,t-1
U Hyd,i,d,t ≥x Hyd,i,d,t-1 -x Hyd,i,d,t
wherein, U Hyd,i,d,t A state variable indicating a change in charge/discharge state; x is a radical of a fluorine atom Hyd,i,d,t And x Hyd,i,d,t-1 Represents the hydrogen production and storage state, x, at typical times t and t-1, respectively Hyd,i,d,t =1 represents an energy storage hydrogen production process,x Hyd,i,d,t =0 represents a power generation process;
representing the actual output of the thermal power generating unit at the tth typical moment on the d typical day; />
An actual value constant representing node j; m represents the divided equal parts of the output of the secondary thermal power generating unit; u. u j Representing a state variable.
The invention aims to provide a multi-type power supply time sequence planning system under a long time scale, which comprises an objective function acquisition module, a first constraint condition determination module, a second constraint determination module and a constant volume scheme determination module; the target function acquisition module is used for acquiring a target function by taking the minimized cost as a target; the objective function at least comprises power supply investment cost and operation cost in a planning period; the first constraint condition determining module is used for determining a first constraint condition; the first constraint condition is at least related to output characteristics and planned capacity of a generator set, and the generator set is a multi-type power supply; the second condition constraint determining module is used for determining a second constraint condition; the second constraint condition is at least related to the electric power electric quantity balance and the energy storage characteristic of the energy storage device; the constant volume scheme determining module is used for solving the objective function based on the first constraint condition and the second constraint condition to obtain constant volume construction schemes of different time nodes of the generator set and the energy storage equipment in the planning period.
The technical scheme of the embodiment of the invention at least has the following advantages and beneficial effects:
some embodiments in this application can cooperate basic peak regulation function and the flexibility and the cleanliness factor of exerting oneself of new forms of energy power such as wind-powered electricity generation, water and electricity of conventional power such as thermoelectricity, plan the medium-term and long-term capacity construction arrangement of polymorphic type power to introduce the hydrogen energy storage equipment that conversion efficiency is high and the energy storage time is long, realize the high-efficient conversion of electricity hydrogen under the long-time yardstick, be favorable to guaranteeing the electric power electric quantity balance of supplying power under the long-time yardstick, and the clean low carbon nature of guarantee electricity generation.
According to some embodiments in the application, the minimum thermal power generation, the minimum wind abandoning and water abandoning and the like are used as constraint conditions, and the target function is solved based on the constraint conditions, so that the annual planned constant volume scheme of the unit is obtained, and the low-carbon aims of power and electric quantity balance and energy supply of the power system in a long-time scale are facilitated to be realized.
Drawings
Fig. 1 is an exemplary flowchart of a multi-type power timing planning method in a long time scale according to some embodiments of the present invention;
fig. 2 is an exemplary block diagram of a multi-type power source timing planning system in a long time scale according to some embodiments of the present invention.
Detailed Description
In order to make the objects, technical solutions and advantages of the embodiments of the present invention clearer, the technical solutions in the embodiments of the present invention will be clearly and completely described below with reference to the drawings in the embodiments of the present invention, and it is obvious that the described embodiments are some, but not all embodiments of the present invention. The components of embodiments of the present invention generally described and illustrated in the figures herein may be arranged and designed in a wide variety of different configurations.
Fig. 1 is an exemplary flowchart of a multi-type power source timing planning method in a long time scale according to some embodiments of the present invention. In some embodiments, process 100 may be performed by system 200. The process 100 shown in fig. 1 includes the following:
The planning period may refer to a long time scale periodic planning of the generator set and the energy storage device. For example, the planning period may be 10 years or 20 years for the future, and the content of the planning may be a timing plan volume scheme for multiple types of power supplies. Illustratively, the planning period is 10 years, and the planning content may include the first year, \8230, the type of crew to be built each year in the third year, and the corresponding capacity. The planning period can be specifically set according to requirements. The genset type can include a genset and an energy storage device. The generating set can comprise various types of power supplies such as a thermal power generating set, a distributed wind power generating set, a hydroelectric generating set and the like. The power supply investment cost can be the total cost of building the unit in the planning period. The operating cost may be the total cost of using the built unit in the planning cycle.
In some embodiments, the power supply investment cost may be in C inv Represents, the power supply investment cost C inv The calculation formula of (c) is:
Ω＝{Ω Th ，Ω Wi ，Ω Wa ，Ω Hy ，...}
wherein a represents the number of years of the planning cycle, a =1,2,3.. A; omega represents the set of the types of the generator set and the energy storage equipment, and at least comprises a thermal power generating unit omega Th Omega of wind turbine Wi Omega of hydroelectric generating set Wa And hydrogen energy storage device omega Hy ；X a，i Indicating whether the generator set or the hydrogen energy storage device i is installed in year a, X a，i =1 represents mounting, X a，i =0 means uninstalled; r represents the discount rate; c i Represents the installation cost per unit capacity of the generator set or the hydrogen energy storage device i; k represents the operating age of the generator set or the hydrogen energy storage device; s. the i And representing the planned installation capacity of the generator set i or the planned construction capacity of the hydrogen energy storage device i. In some embodiments, the planned installation capacity of the genset i may be predicted from city development and demand. The planned construction capacity of the hydrogen energy storage device i can be obtained according to the operation condition of the generator set. The discount rate r is obtained by referring to the actual value.
In some embodiments, the operating cost may be in terms of C ope Represents, the running cost C ope Is calculated byThe formula is as follows:
wherein a represents the number of years of the planning cycle, a =1,2,3.. A; r represents the discount rate;
represents the power generation cost of the a-year; />
Representing the start-stop cost of the generator set in the a year; />
Representing the load shedding loss cost of the generator set in the a year; />
Representing the cost of wind and water abandonment in the a year; />
Represents the carbon emission cost of year a; />
Representing the hydrogen energy storage and hydrogen production benefit in the a year.
In some embodiments, the year a electricity generation cost
The calculation formula of (2) is as follows:
the start-stop cost of the generator set in the s year
Is calculated byComprises the following steps:
year s load shedding loss cost of the generator set
The calculation formula of (c) is:
the cost of wind and water abandoning in the s year
The calculation formula of (c) is:
cost of carbon emissions of said year
The calculation formula of (c) is: />
The hydrogen energy storage hydrogen production benefit of the s year
The calculation formula of (c) is:
wherein s is Th Indicating thermal power unit, Ω Wi Representing wind turbine generator, omega Wa Representing a hydroelectric generating set; x a,i RepresentWhether the generator set i is installed in the year a, X a,i =1 represents mounting, X s,i =0 means uninstalled; s i Representing a planned installation capacity of the generator set i; c G,i Representing the unit power generation cost with the unit type i; t is a unit of H,i Representing the number of hours of utilization of the generator set i; d represents the number of days of the selected typical day; t represents the typical number of hours in the typical day; c s,i Representing the unit capacity start-stop cost of the generator set type i; s. the c,i,d Representing the starting and stopping capacity of the generator set i on the d typical day of the a year; c c Representing unit load shedding cost;
the load shedding size at the ttematerial time of the ttematerial day of the a-th year is represented; c A,Wi And C A,wa Respectively representing punishment factors of wind power and hydropower; />
And &>
Respectively representing the predicted output power of wind power and hydropower; />
And
respectively representing the actual output power of wind power and hydropower; c E Represents a carbon tax; gamma represents the carbon conversion coefficient of the coal cost; c. C i,E,2 、c i,E,1 And c i,E,0 Respectively representing cost parameters; />
Representing the actual output of the thermal power generating unit i at the tth typical moment on the d typical day; c H,out And C H,in Respectively representing the unit benefit of hydrogen sale and the unit cost of hydrogen production; h out,t And H in,t Respectively representing export and import hydrogen at typical times tAmount of the compound (A). The benefit of hydrogen production is obtained by subtracting the cost of hydrogen production from the benefit of hydrogen sale. In some embodiments, the representative day may be obtained by a clustering algorithm. For example, curves with similar annual power utilization curve changes are grouped into a class, and one curve is selected to represent the class of curves, so that a typical day is obtained. In some embodiments, the typical time may be related to the granularity of the daily load curve for a typical day. For example, when the load curve is 1 load value every 1 hour, then a typical time is 24 hours.
In some embodiments, the objective function is calculated as:
wherein, C inv Representing the power supply investment cost; c ope Representing the operating cost; i ∈ Ω Hy The unit i is represented as a hydrogen energy storage device omega Hy (ii) a D represents the number of days of the selected typical day; t is the typical hours in the typical day; u shape Hyd,i,d,t And a state variable indicating a change in charge/discharge state. Wherein,
for making U Hyd,i,d,t And the minimum value is taken as far as possible, and the charging and discharging state of the energy storage equipment is guaranteed to be taken to be 0 under the condition that the charging and discharging state of the energy storage equipment is not changed at the front moment and the rear moment, so that the charging and discharging times of the hydrogen energy storage equipment are accurately obtained.
The first constraint may refer to a partial constraint that solves the objective function. In some embodiments, the power generating units may be modeled, and constraints on the processing characteristics and projected capacity of each power generating unit are determined based on the modeling. The output characteristic may be a characteristic of the power supply of the generator set. In some embodiments, the output characteristics are determined by the nature of the genset itself. The planned capacity may refer to the capacity of the generator set planned to be built each year during the planning period. In some embodiments, the projected capacity may be specifically set according to the development and demand of the city. Multiple types of power sources may refer to a genset that can generate electricity in multiple forms. For example, the generator set may include thermal, wind, and hydro-electric generator sets, among other types of generator sets.
In some embodiments, the first constraint includes at least:
construction period constraint:
wherein A represents the number of years of the planning cycle; x a,i Indicating whether the generator set i was installed in year a, X a,i =1 denotes mounting, X a,i =0 represents unmounted; omega Th Indicating thermal power unit, Ω Wi Representing wind turbine generator, omega Wa Representing a hydroelectric generating set;
planning capacity constraint:
wherein, X i,a Indicating whether the generator set i is installed in the a-th year; s. the i Representing a planned installation capacity of the generator set i;
representing a predicted total amount of power demand; />
Represents the total amount of electricity reserve;
standby constraint:
wherein R is U And R D Respectively representing positive and negative standby requirements; j represents the minimum maximum contribution ratio;
and &>
Respectively, the maximum and minimum loads of typical day d; the positive and negative standby requirements mean that the standby capacity can have enough capacity when the load is maximum, ru is just like redundancy, and the capacity of reducing the output of the unit is also realized when the load is very small, so that the waste of power generation is avoided. J is the ratio of the minimum output to the maximum output of the unit, and represents the minimum output level of the unit
And (3) limiting the upper and lower output limits of the thermal power generating unit:
wherein, I i,a,d,t =1 indicates that the thermal power generating unit I is started at the tth typical time on the d typical day in the a year, and I i,a,d,t =0 for shutdown;
and &>
Respectively representing the maximum output and the minimum output of the unit i at the tth typical moment of the d typical day of the a year; p is i,a,d,t The actual output of the generator set i;
output restraint of wind power and hydroelectric generating sets:
wind and water abandoning amount restriction of hydroelectric generating set
Wherein D represents the number of days of the selected typical day; t is the typical hours in the typical day;
and
respectively representing the total amount of wind power generation and hydroelectric generation; />
And &>
Respectively representing the wind and water abandoning amount; />
And &>
Respectively representing the total amount of the allowed wind and water abandonment;
the method comprises the following steps of (1) climbing constraint of the thermal power generating unit at different typical moments in a typical day:
wherein R is Th Representing the climbing rate of the thermal power generating unit;
and &>
Respectively representing the power of the thermal power generating unit at typical time t and t-1;
power balance per time constraint:
wherein,
represents the output electrical power of the hydrogen energy storage device; />
Representing the total predicted load of the user; />
The load shedding amount at the tth typical time of the d typical day of the a year is shown.
The second constraint may refer to a partial constraint that solves the objective function. The power electricity balance may refer to a balance between the amount of power generation and the amount of power consumption. In some embodiments, the power electricity balance constraint condition under a long time scale can be obtained by modeling the energy storage characteristics of the energy storage device and based on the model. The energy storage device may be a hydrogen energy storage device, and the energy storage characteristic is related to the property of the energy storage device itself.
In some embodiments, the second constraint includes at least:
installation time constraints of the hydrogen energy storage device:
wherein A represents the years of the planning cycle, and a =1,2,3 \ 8230A; x a,i Indicates whether the hydrogen storage device i is installed in the a-th year, X a,i =1 denotes mounting, X a,i =0 represents unmounted; omega Hy Represents a hydrogen energy storage device;
capacity constraint of the storage and discharge process:
H Hy,t ＝H Hy,t-1 +H in,t -H out,t
wherein H Hy,t And H Hy,t-1 Respectively representing the hydrogen production at typical time t and t-1; h in,t Represents the output hydrogen capacity; x is a radical of a fluorine atom Hyd,t =1 denotes energy storage hydrogen production process, x Hyd,t =0 denotes power generation process; beta is a beta in And beta out Respectively representing the conversion efficiency of hydrogen production by electricity and hydrogen production by electricity; p is in And P out Respectively representing the input electric power and the output electric power,
and &>
Respectively representing the conversion time of hydrogen production and electricity production;
the capacity size constraint of the hydrogen energy storage device is as follows:
wherein,
and &>
Respectively representing the minimum and maximum capacities of the hydrogen energy storage device; />
And &>
Respectively representing minimum and maximum hydrogen amounts of input hydrogen; />
And &>
Respectively representing the minimum and maximum hydrogen amounts of output hydrogen;
in the scheduling period, the initial and ending state constraints of the energy storage are as follows:
wherein x is Hyd,a,0 Representing an initial state of energy storage; x is the number of Hyd,a,D Indicating the end state of energy storage. In some embodiments, the scheduling period may be one year.
And (4) constraint of electricity storage times:
wherein, U Hyd,i,a The number of times of charge and discharge conversion in the a year; n is a radical of hydrogen Hyd,i,a And x Hyd,A Respectively representing the maximum times of storage electricity conversion in the a-th year and the whole planning period A; d represents the number of days of the selected typical day; t is the typical number of hours in the typical day. The stored electricity times constraint may represent a long time scale continuous energy storage characteristic of hydrogen stored energy.
And 140, solving an objective function based on the first constraint condition and the second constraint condition to obtain a constant volume construction scheme of the generator set and the energy storage equipment at different time nodes in a planning period. In some embodiments, step 140 may be performed by constant volume scheme determination module 240.
The constant volume construction scheme of different nodes can refer to a scheme for constructing the category and the planning capacity of the unit in a planning period every year. For example, 1000MW of thermal power generating units are installed in year 3.
In some embodiments, a non-linear constraint of the first constraint and the second constraint may be converted to a linear constraint; and solving an objective function through a mixed integer linear programming algorithm based on a linear constraint condition to obtain a constant volume construction scheme of different time nodes of the generator set and the energy storage equipment in the planning period.
In some embodiments, a non-linear formula may be:
converting into a linear formula:
U Hyd,i,d,t ≥x Hyd,i,d,t -x Hyd,i,d,t-1
U Hyd,u,d,t ≥x Hyd,i,d,t-1 -x Hyd,i,d,t
the nonlinear formula:
conversion to a linear formula:
wherein, U Hyd，i，d，t A state variable indicating a change in charge/discharge state; x is the number of Hyd，i，d，t And x Hyd，i，d，t-1 Represents the hydrogen production and storage state, x, at typical times t and t-1, respectively Hyd，i，d，t =1 denotes an energy-storage hydrogen production process, x Hyd，i，d，t =0 represents a power generation process;
representing the actual output of the thermal power generating unit at the tth typical moment on the d typical day; />
An actual value constant representing node j; m represents the divided equal parts of the output of the secondary thermal power generating unit; u. u j Representing a state variable. The original absolute value constraint is equivalent to linear inequality constraint, the output of a secondary thermal power generating unit is divided into m equal parts, and the value in the interval from the j-1 th point to the j th point is approximate to the actual value constant ^ on the node j>
u j Is a state variable, satisfies->
Fig. 2 is an exemplary block diagram of a multi-type power source timing planning system in a long time scale according to some embodiments of the present invention. As shown in FIG. 2, the system 200 includes an objective function obtaining module 210, a first constraint determining module 220, a second constraint determining module 230, and a volumetric solution determining module 240.
The objective function obtaining module 210 is configured to obtain an objective function with the minimized cost as a target; the objective function includes at least the power supply investment cost and the operating cost within the planning period. For more of the objective function obtaining module 210, refer to fig. 1 and its related description.
The first constraint determining module 220 is used for determining a first constraint; the first constraint is related to at least the output characteristics and the projected capacity of the generator set, and the generator set is a multi-type power supply. For more on the first constraint determining module 220, refer to fig. 1 and its related description.
The second conditional constraint determining module 230 is for determining a second constraint; the second constraint is related to at least the power flow balance and the energy storage characteristics of the energy storage device. For more on the second conditional constraint determining module 230, refer to fig. 1 and its associated description.
The constant volume scheme determining module 240 is configured to solve the objective function based on the first constraint condition and the second constraint condition to obtain constant volume construction schemes of different time nodes of the generator set and the energy storage device in the planning period. For more of the volumetric solution determination module 240, see fig. 1 and its associated description.
The present invention has been described in terms of the preferred embodiment, and it is not intended to be limited to the embodiment. Any modification, equivalent replacement, or improvement made within the spirit and principle of the present invention should be included in the protection scope of the present invention.
Claims (10)
1. A multi-type power supply time sequence planning method under a long time scale is characterized by comprising
Obtaining an objective function by taking the minimized cost as a target; the objective function at least comprises the investment cost and the operation cost of the power supply in a planning period;
determining a first constraint condition; the first constraint condition is at least related to output characteristics and planned capacity of a generator set, and the generator set is a multi-type power supply;
determining a second constraint condition; the second constraint condition is at least related to the electric power and electric quantity balance and the energy storage characteristic of the energy storage device;
and solving the objective function based on the first constraint condition and the second constraint condition to obtain a constant volume construction scheme of the generator set and the energy storage equipment at different time nodes in the planning period.
2. The method of multi-type power timing planning on a long time scale according to claim 1, wherein the objective function is:
wherein, C inv Represents the power supply investment cost; c ope Representing the operating cost; i ∈ Ω Hy The unit i is represented as a hydrogen energy storage device omega Hy (ii) a D represents the number of days of the selected typical day; t is the typical number of hours in the typical day; u shape Hyd，i，d，t And a state variable indicating a change in the charge/discharge state.
3. The method for multi-type power timing planning on a long time scale of claim 1, wherein the power investment cost C inv Comprises the following steps:
Ω＝{Ω Th ，Ω Wi ，Ω Wa ，Ω Hy ，...}
wherein a represents the number of years of the planning cycle, a =1,2,3.. A; omega represents the set of the types of the generator set and the energy storage equipment, and at least comprises a thermal power generating unit omega Th Omega of wind turbine Wi Omega of hydroelectric generating set Wa And hydrogen energy storage device omega Hy ；X a，i Indicating whether the generator set or the hydrogen energy storage device i is installed in year a, X a，i =1 represents mounting, X a，i =0 means uninstalled; r represents the discount rate; c i Representing a unit capacity installation cost of the generator set or the hydrogen energy storage device i; k represents the operating age of the generator set or the hydrogen energy storage device; s i And representing the planned installation capacity of the generator set i or the planned construction capacity of the hydrogen energy storage device i.
4. The method of multi-type power supply timing planning in a long time scale of claim 1, wherein the operating cost C ope Comprises the following steps:
wherein a represents the number of years of the planning cycle, a =1,2,3.. A; r represents the discount rate;
represents the power generation cost of the year a; />
Representing the start-stop cost of the generator set in the a year; />
Representing the load shedding loss cost of the generator set in the a year; />
Representing the cost of wind and water abandonment in the a year; />
Represents the cost of carbon emissions in year a; />
And the hydrogen energy storage and hydrogen production benefit in the a year is shown.
5. The method of multi-type power timing planning in a long time scale according to claim 4, wherein the power generation cost of the a-year
The formula of (1) is as follows:
the start and stop cost of the generator set in the a year
The formula of (1) is:
the cost of shedding load loss of the generator set in the a year
The formula of (1) is as follows:
the cost of wind and water abandonment in the a year
The formula of (1) is:
the cost of carbon emissions of year a
The formula of (1) is as follows:
the hydrogen energy storage hydrogen production benefit of the year a
The formula of (1) is as follows:
wherein omega Th Indicating thermal power unit, Ω Wi Representing wind turbine generator, omega Wa Representing a hydroelectric generating set; x a，i Indicating whether the generator set i was installed in year a, X a，i =1 represents mounting, X a，i =0 means uninstalled; s. the i Representing a planned installation capacity of the generator set i; c G，i Indicating unit typeA unit cost of power generation of i; t is H，i Representing the number of hours of utilization of the generator set i; d represents the number of days of the selected typical day; t represents the typical number of hours in the typical day; c s，i Representing the unit capacity start-stop cost of the generator set type i; s c，i，d Representing the starting and stopping capacity of the generator set i on the d typical day of the a year; c c Expressing the unit load shedding cost;
the load shedding size of the tth typical time of the d typical day of the a year is represented; c A，Wi And C A，Wa Respectively representing punishment factors of wind power and hydropower; />
And &>
Respectively representing the predicted output power of wind power and hydropower; />
And &>
Respectively representing the actual output power of wind power and hydroelectric power; c E Represents a carbon tax; gamma represents the carbon conversion coefficient of the coal burning cost; c. C i，E，2 、c i，E，1 And c i，E，0 Respectively representing cost parameters; />
Representing the actual output of the thermal power generating unit i at the tth typical moment on the d typical day; c H，out And C H，in Respectively representing the unit benefit of hydrogen sale and the unit cost of hydrogen production; h out，t And H in，t Respectively representing the output and input hydrogen quantities at typical times t.
6. The method for multi-type power supply timing planning in a long time scale according to claim 1, wherein the first constraint condition includes at least:
construction period constraint:
wherein A represents the number of years of the planning cycle; x a，i Indicating whether the generator set i was installed in year a, X a，i =1 represents mounting, X a，i =0 means uninstalled; omega Th Indicating thermal power unit, Ω Wi Representing wind turbine generator, omega Wa Representing a hydroelectric generating set;
planning capacity constraint:
wherein, X i，a Indicating whether the generator set i is installed in the a-th year; s i Representing a planned installation capacity of the generator set i;
representing a predicted total amount of power demand; />
Represents the total amount of power reserve;
standby constraint:
wherein R is U And R D Respectively representing positive and negative standby requirements; j represents the minimum maximum contribution ratio;
and &>
Respectively represents the maximum and minimum loads of typical days d;
and (3) limiting the upper and lower output limits of the thermal power generating unit:
wherein, I i,a,d,t =1 indicates that the thermal power generating unit I is started at the tth typical time on the d typical day in the a year, and I i,a,d,t =0 for shutdown;
and &>
Respectively representing the maximum output and the minimum output of the unit i at the tth typical moment of the d typical day of the a year; p is i,a,d,t The actual output of the generator set i;
output constraint of wind power and hydroelectric generating set:
wind and water abandoning amount restriction of wind power and hydroelectric generating set
Wherein D represents the number of days of the selected typical day; t is the typical hours in the typical day;
and &>
Respectively representing the total amount of wind power generation and hydroelectric power generation; />
And &>
Respectively representing the wind and water abandoning amount; />
And &>
Respectively representing the total amount of the wind and water abandoning allowed;
the method comprises the following steps of (1) climbing constraint of the thermal power generating unit at different typical moments in a typical day:
wherein R is Th Representing the climbing rate of the thermal power generating unit;
and &>
Respectively representing the power of the thermal power generating unit at typical time t and t-1;
power balance per time constraint:
wherein,
represents the output electrical power of the hydrogen energy storage device; />
Representing the total predicted load of the user; />
The load shedding amount at the tth typical time of the d typical day of the a year is shown.
7. The method for multi-type power source timing planning on a long time scale according to claim 1, wherein the energy storage device is a hydrogen energy storage device, and the second constraint condition at least includes:
installation time constraints of the hydrogen energy storage device:
wherein a represents the number of years of the planning cycle, a =1,2,3.. A; x a，i Indicates whether the hydrogen energy storage device i is installed in year a, X a，i =1 represents mounting, X a，i =0 represents unmounted; omega Hy Represents a hydrogen energy storage device;
capacity constraint of the storage and discharge process:
H Hy，t ＝H Hy，t-1 +H in，t -H out，t
wherein H Hy，t And H Hy，t-1 Respectively representing the hydrogen production at typical time t and t-1; h in，t Represents the output hydrogen capacity; x is a radical of a fluorine atom Hyd，t =1 denotes energy storage hydrogen production process, x Hyd，t =0 denotes power generation process; beta is a in And beta out Respectively representing the conversion efficiency of hydrogen production by electricity and the conversion efficiency of hydrogen production by electricity; p is in And P out Respectively representing the input electric power and the output electric power,
and &>
Respectively representing the conversion time of hydrogen production and electricity production;
the capacity size constraint of the hydrogen energy storage device is as follows:
wherein,
and &>
Respectively representing the minimum and maximum capacities of the hydrogen energy storage device; />
And &>
Respectively representing minimum and maximum hydrogen amounts of input hydrogen; />
And &>
Respectively representing the minimum and maximum hydrogen amounts of output hydrogen;
in the scheduling period, the initial and ending state constraints of the energy storage are as follows:
wherein x is Hyd，a，0 Representing an initial state of stored energy; x is the number of Hyd，a，D Indicating the end state of energy storage;
and (4) constraint of electricity storage times:
wherein, U Hyd，i，a The number of times of charge and discharge conversion in the a year; n is a radical of hydrogen Hyd，i，a And x Hyd，A Respectively representing the maximum times of storage electricity conversion in the a-th year and the whole planning period A; d represents the number of days of the selected typical day; t is the typical number of hours in the typical day.
8. The method according to claim 1, wherein solving the objective function based on the first constraint condition and the second constraint condition to obtain a constant volume construction scheme for the generator set and the energy storage device at different time nodes in the planning period comprises
Converting a nonlinear constraint condition of the first constraint condition and the second constraint condition into a linear constraint condition;
and solving an objective function through a mixed integer linear programming algorithm based on all linear constraint conditions to obtain a constant volume construction scheme of the generator set and the energy storage equipment at different time nodes in the planning period.
9. The method of multi-type power timing planning on a long time scale of claim 7, wherein the formula after being converted into the linear constraint comprises:
U Hyd，i，d，t ≥x Hyd，i，d，t -x Hyd，i，d，t-1
U Hyd，i，d，t ≥x Hyd，i，d，t-1 -x Hyd，i，d，t
wherein, U Hyd，i，d，t A state variable indicating a change in charge and discharge states; x is a radical of a fluorine atom Hyd，i，d，t And x Hyd，i，d，t-1 Represents the hydrogen production and storage state, x, at typical times t and t-1, respectively Hyd，i，d，t =1 denotes energy storage hydrogen production process, x Hyd，i，d，t =0 denotes power generation process;
representing the actual output of the thermal power generating unit at the tth typical moment on the tth typical day; />
An actual value constant representing node j; m represents the divided equal parts of the output of the secondary thermal power generating unit; u. of j Representing a state variable.
10. A multi-type power supply time sequence planning system under a long time scale is characterized by comprising an objective function acquisition module, a first constraint condition determination module, a second constraint condition determination module and a constant volume scheme determination module;
the target function acquisition module is used for acquiring a target function by taking the minimized cost as a target; the objective function at least comprises the investment cost and the operation cost of the power supply in a planning period;
the first constraint condition determining module is used for determining a first constraint condition; the first constraint condition is at least related to output characteristics and planned capacity of a generator set, and the generator set is a multi-type power supply;
the second conditional constraint determining module is used for determining a second constraint condition; the second constraint condition is at least related to the electric power and electric quantity balance and the energy storage characteristic of the energy storage device;
the constant volume scheme determining module is used for solving the objective function based on the first constraint condition and the second constraint condition to obtain constant volume construction schemes of different time nodes of the generator set and the energy storage equipment in the planning period.
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