CN105447599B - Heat-storage cogeneration unit and electric boiler-based abandoned wind elimination coordination scheduling model - Google Patents

Heat-storage cogeneration unit and electric boiler-based abandoned wind elimination coordination scheduling model Download PDF

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CN105447599B
CN105447599B CN201510851984.9A CN201510851984A CN105447599B CN 105447599 B CN105447599 B CN 105447599B CN 201510851984 A CN201510851984 A CN 201510851984A CN 105447599 B CN105447599 B CN 105447599B
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崔杨
陈志�
严干贵
穆钢
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Northeast Electric Power University
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Abstract

The invention relates to a waste wind consumption coordination scheduling model based on a heat storage cogeneration unit and an electric boiler, which is characterized in that on the basis of analyzing the working principle of the heat storage cogeneration unit, the calculation of the heat supply capacity of the electric boiler for maximally consuming the waste wind electricity is provided, and the different working modes of a heat storage device and the economical efficiency of the heat storage cogeneration unit and the electric boiler during coordination heat supply are compared. The calculation result shows that the heat supply of the electric boiler has the best economical efficiency when the abandoned wind is absorbed to the utmost extent. The invention can further expand the power grid wind curtailment and absorption space, save the dispatching cost and provide scientific basis for the power grid dispatching department to make day-ahead dispatching plans.

Description

Heat-storage cogeneration unit and electric boiler-based abandoned wind elimination coordination scheduling model
Technical Field
The invention relates to the field of wind power networking coordination control, in particular to a wind curtailment consumption coordination scheduling model based on a heat storage cogeneration unit and an electric boiler.
Background
At present, the main contradiction faced by the wind power development in China is still the problem of wind abandoning and electricity limiting. The problem of huge air volume abandon in the heating period in winter in the northeast, northwest and northwest areas, called three north areas for short, is particularly prominent and has become the focus of social attention. On one hand, the wind energy resources in the three north area are abundant, but the energy consumption is insufficient, and meanwhile, the wind power is limited by a transmission channel of a power grid, so that the wind power is difficult to deliver. On the other hand, in order to meet the requirement of heat load in winter, the production mode of the cogeneration unit for fixing the power by heat further compresses the wind power on-line space, and is another main reason for wind abandon.
Wind power in China is mostly large centralized units, the large centralized units are usually far away from a load center, the wind abandoning phenomenon is very serious, and the effect of improving the wind abandoning capacity of a system by independently utilizing a heat storage device or an electric boiler is limited.
The scale of foreign power grids is small, distributed energy is mostly consumed on the spot, a large amount of abandoned wind is less, and even if abandoned wind occurs, the independent action of a heat storage device or an electric boiler can be eliminated. In fact, under the lead of real-time electricity prices, in many countries in europe such as germany, denmark, etc., many thermoelectric power plants have or are considering configuring heat storage devices to decouple the "fix a power by heat" constraint to profit in the electricity market environment by increasing their operational flexibility and peak shaving capabilities.
The foreign research on wind power heat supply technology is mature, but the main energy conversion media of the energy conversion media are a centralized type, a large-capacity heat storage system, a heat pump, an electric boiler and the like. In addition, the energy interconnection system has important significance for improving the system regulation capacity, expanding the wind power internet space and solving the problem of wind abandonment, so the research on the energy comprehensive integration system is earlier developed abroad.
In summary, the future electric power system will be closely combined with the thermal system and other systems to form an energy interconnection system with multi-level scheduling contents, and how to coordinate and control each unit in the energy system such as the electric heating integrated system and the like, so as to reduce energy loss and waste to obtain the best economy is a topic worth of research.
Disclosure of Invention
The invention aims to solve the technical problem of providing a waste wind consumption coordination scheduling model based on a heat storage cogeneration unit and an electric boiler, which is based on a heat storage cogeneration unit and the electric boiler, coordinates heat supply of the heat storage cogeneration unit and the electric boiler by calculating the heat supply of the electric boiler with the maximum consumption waste wind quantity, further expands the waste wind consumption space of a power grid, saves the scheduling cost, and can provide scientific basis for a power grid scheduling department to make a day-ahead scheduling plan.
The technical scheme for solving the technical problem is as follows: a abandoned wind consumption coordination scheduling model based on a heat-storage cogeneration unit and an electric boiler is characterized by comprising the following contents:
1) space mathematical model for wind curtailment and absorption
When the heat-storage cogeneration unit and the electric boiler coordinate to supply heat, the heat-storage cogeneration unit and the electric boiler respectively generate certain absorption and abandoned air spaces:
Figure BDA0000861954510000021
wherein: pw.h.tRepresenting the abandoned wind power of the system only containing the cogeneration unit during heat supply at the time t;
Pw0.trepresenting the abandoned wind power when the system only containing the cogeneration unit does not supply heat at the time t;
ΔPw.h.trepresenting that only a waste wind absorption space generated by heat supply of the cogeneration unit system is contained at the moment t;
ΔPw.echrepresenting a waste wind absorption space when heat-storage cogeneration and an electric boiler coordinate to supply heat;
ΔPw.chrepresenting a waste wind absorption space generated by the heat-storage cogeneration unit;
ΔPEBrepresenting a waste wind absorption space generated by the electric boiler;
the total heat supply load of the heat and power cogeneration unit is large in winter, and for a system comprising a single electric boiler and the heat and power cogeneration unit, the waste wind absorption space generated when the heat storage heat and power cogeneration unit supplies heat is expressed as the heat supply load P of the electric boilerH.eFunction of (c):
Figure BDA0000861954510000022
wherein: cmThe elastic coefficient is the back pressure working condition elastic coefficient of the cogeneration unit;
Cvthe electric power reduction value is the electric power reduction value when the unit steam quantity is extracted under the fixed steam quantity;
PH.esupplying heat power to the electric boiler;
Ph.cmaxthe maximum heat storage power of the heat storage device;
Pe.maxthe maximum electric output when the unit does not supply heat;
Pe.minminimum power output when the unit does not supply heat;
Phe1.maxthe heat supply power is the heat supply power when the unit works under the back pressure working condition under the maximum steam inlet quantity;
Phe2.maxthe heat supply power is the heat supply power when the unit works under the back pressure working condition under the minimum steam inlet quantity;
Phzis the total heating load;
abandoned wind absorption space delta P generated by electric boilerEBExpressed as:
ΔPEB=(1/β)·PH.e(3)
wherein: beta is the electric heat conversion efficiency of the electric boiler, 0.99 is selected,
the abandoned wind power when the system only containing the cogeneration unit does not supply heat is expressed as follows:
Figure BDA0000861954510000031
wherein: n is the total number of conventional thermal power generating units;
r is the total number of the cogeneration units;
k is the number of the wind turbine generators;
the minimum electric output value of the ith unit at the moment t is the electric output value of the cogeneration unit when heat is not supplied;
Figure BDA0000861954510000034
the predicted output of the jth wind turbine generator set at the moment t is obtained;
PL.tload prediction value at the moment t of the system;
the abandoned wind generated when the system only comprises the cogeneration unit supplies heat consumes the space:
Figure BDA0000861954510000032
2) electric boiler heating power capable of eliminating abandoned wind to the utmost extent
When the system completely consumes the abandoned wind power generated only by the cogeneration unit during heat supply under the combined action of the heat-storage cogeneration unit and the electric boiler, the purposes of heat supply and optimal economy can be simultaneously achieved:
Pw.h.t=ΔPw.ech(6)
the calculation formula of the heat supply power of the electric boiler for obtaining the limit absorption abandoned wind is as follows:
PH.e.lim=(Pw0.t-Cv·Phe2.max)·β (7)
that is, in a certain total heat supply range, the heat supply quantity of the electric boiler which completely consumes the abandoned wind is only equal to Pw0.t、Cv、Phe2.maxBeta is related to the total heat supply load of the system, and the most appropriate electric boiler capacity is arranged according to the power grid structure on the basis of analyzing the wind power resource characteristics and the load characteristics of the power grid when an electric boiler project is planned and constructed according to the principle so as to achieve the aim of optimal economy;
3) wind curtailment and accommodation coordinated scheduling modeling
a) Objective function
The economic dispatching of the power system containing wind power usually takes the minimum power generation cost of the system as a dispatching target, and adds the wind abandoning cost in the cost for checking the effect of the heat storage device and the electric boiler on the consumption of the wind abandoning power, so that the objective function of the wind abandoning and coordination dispatching model is as follows:
min(F1(Pi)+F2(Perl.i,Ph.i,Pcr.i)+λ·PW.qf) (8)
wherein: f1The power generation cost function of the conventional thermal power generating unit;
F2is a power generation cost function of the cogeneration unit;
Ph.iis the total heating power;
Perl.ithe electric output of the ith cogeneration unit,
Pcr.iStoring and releasing heat power of a heat storage device of the ith cogeneration unit;
Pw.qfthe wind power of the system is abandoned;
lambda is the cost coefficient of the waste wind;
the power generation cost of the thermal power generating unit comprises coal consumption cost and start-stop cost,
Figure BDA0000861954510000041
wherein: a isi、bi、ciA quadratic fitting coefficient of the coal consumption cost of the conventional unit;
t is the total number of scheduling time periods, and 24 is taken;
Pi.trepresenting the electric output of the conventional unit i at the time t;
ui.tthe starting and stopping states of the unit i at the moment t are shown, and 1 and 0 respectively show operation and shutdown;
Sithe starting cost of the unit i is calculated;
because cogeneration undertakes the heat supply task, the shutdown condition can not appear, so its cost of electricity generation only includes the coal consumption cost, according to the electric heat operating characteristics who contains heat-retaining cogeneration unit, its coal consumption cost of a certain moment is after the unit rejects heat supply capacity of heat-retaining device, converts electricity, hot output into the electric power under the pure condition:
Figure BDA0000861954510000042
wherein: a isi、bi、ciFor the coal consumption cost coefficient of the cogeneration unit,
when the electric output of the cogeneration is not changed, different heat charging and discharging plans and different heat-storing cogeneration heat supply powers can generate different costs, the heat is supplied by the cogeneration unit at a non-wind abandoning moment, and the electricity boiler is accessed to consume the wind abandoning at the wind abandoning moment, so that two optimization sub-problems exist under the scheduling optimization main problem: an optimal heat storage and release planning subproblem and an optimal electric boiler heat supply proportion subproblem,
the optimal heat storage and discharge plan sub-problem can be given to the heat supply proportion P of a certain electric boilerh.i.stemAnd then, when each node of the main problem of the outer layer scheduling optimization, namely the electric output of all the units is given, the optimal heat storage and release plan under the condition is obtained:
Figure BDA0000861954510000043
b) constraint conditions
The curtailment wind absorption dispatching model for coordinating heat supply considers the constraint conditions of the thermodynamic system, including the constraint of a heat supply balance equation and the constraint of the operation of a heat storage device, besides the traditional constraint conditions of the electric power system, such as the constraint of load balance, the constraint of unit output, the constraint of unit climbing, the constraint of unit starting and shutdown, the constraint of positive and negative rotation standby and the like,
and (3) heat supply balance constraint:
Figure BDA0000861954510000051
wherein:the heating power of the electric boiler at the time t is provided;
Figure BDA0000861954510000053
the total heat supply power of the heat-storage cogeneration unit is t moment;
Phz.tfor the thermal load at the time t,
and (3) operation constraint of the heat storage device:
in the formula:
Figure BDA0000861954510000055
the heat storage quantity of the ith heat storage device at the time t is shown;
Figure BDA0000861954510000056
respectively representing the maximum storage and heat release power of the ith heat storage device;
Si.maxindicating the heat storage capacity of the ith heat storage device;
Figure BDA0000861954510000057
to representThe storage and heat release power of the ith heat storage device at the moment t;
4) curtailment and accommodation coordination scheduling model solution
The electric output of the cogeneration unit is a function of the heat output of the cogeneration unit, and if the heat load changes, the constraint condition of the electric output of the cogeneration unit in the main economic dispatching problem changes, so that the constraint condition cannot be solved by simple planning software such as gurobi and the like, and therefore, a certain element in a heat supply proportion set of an electric boiler
Figure BDA0000861954510000058
Firstly, randomly generating an initial population of an economic dispatching problem, modifying elements of each individual through a correction process, and returning fitness and a relatively optimal heat storage and release plan; then continuously iterating to obtain the most economic dispatching plan under the heat supply proportion to form an optimal plan set corresponding to the heat supply proportion set; and finally, obtaining the optimal heat supply proportion of the electric boiler and the most economic dispatching plan result.
According to the waste wind consumption coordination scheduling model based on the heat storage cogeneration unit and the electric boiler, the heat supply of the heat storage cogeneration unit and the electric boiler is coordinated by calculating the heat supply quantity of the electric boiler which can maximally consume the waste wind quantity, so that the waste wind consumption space of a power grid is further expanded, the scheduling cost is saved, and a scientific basis can be provided for a power grid scheduling department to make a day-ahead scheduling plan.
Drawings
FIG. 1 is a schematic diagram of a coordinated heating integrated system;
FIG. 2 is a logical relationship diagram of the model solution;
FIG. 3 is a flow chart of the solution of individual fitness of the main problem of the present invention;
FIG. 4 is a flow chart of the economic dispatch main problem of the present invention;
FIG. 5 is a schematic diagram of the economic cost convergence characteristics under three different heating modes;
FIG. 6 is a schematic view of a wind curtailment characteristic curve in three different heating modes;
fig. 7 is a schematic diagram illustrating a variation curve of the heat storage amount of the heat storage device in the manner 2;
FIG. 8 is a schematic diagram of a variation curve of the heat storage amount of the heat storage device in the mode 3 with the optimal electric boiler heat supply ratio;
FIG. 9 is a graph of the heat supply ratio of the electric boiler and the total scheduling cost.
Detailed Description
The invention further describes a waste wind absorption coordination scheduling model based on a heat storage cogeneration unit and an electric boiler by using drawings and embodiments.
The invention relates to a waste wind consumption coordination scheduling model based on a heat storage cogeneration unit and an electric boiler, which comprises the following contents:
1) space mathematical model for wind curtailment and absorption
When the heat-storage cogeneration unit and the electric boiler coordinate to supply heat, the heat-storage cogeneration unit and the electric boiler respectively generate certain absorption and abandoned air spaces:
Figure BDA0000861954510000061
wherein: pw.h.tRepresenting the abandoned wind power of the system only containing the cogeneration unit during heat supply at the time t;
Pw0.trepresenting the abandoned wind power when the system only containing the cogeneration unit does not supply heat at the time t;
ΔPw.h.trepresenting that only a waste wind absorption space generated by heat supply of the cogeneration unit system is contained at the moment t;
ΔPw.echrepresenting a waste wind absorption space when heat-storage cogeneration and an electric boiler coordinate to supply heat;
ΔPw.chrepresenting a waste wind absorption space generated by the heat-storage cogeneration unit;
ΔPEBrepresenting a waste wind absorption space generated by the electric boiler;
the total heat supply load of the heat and power cogeneration unit is large in winter, and for a system comprising a single electric boiler and the heat and power cogeneration unit, the waste wind absorption space generated when the heat storage heat and power cogeneration unit supplies heat is expressed as the heat supply load P of the electric boilerH.eFunction of (c):
Figure BDA0000861954510000062
wherein: cmThe elastic coefficient is the back pressure working condition elastic coefficient of the cogeneration unit;
Cvthe electric power reduction value is the electric power reduction value when the unit steam quantity is extracted under the fixed steam quantity;
PH.esupplying heat power to the electric boiler;
Ph.cmaxthe maximum heat storage power of the heat storage device;
Pe.maxthe maximum electric output when the unit does not supply heat;
Pe.minminimum power output when the unit does not supply heat;
Phe1.maxthe heat supply power is the heat supply power when the unit works under the back pressure working condition under the maximum steam inlet quantity;
Phe2.maxthe heat supply power is the heat supply power when the unit works under the back pressure working condition under the minimum steam inlet quantity;
Phzis the total heating load;
abandoned wind absorption space delta P generated by electric boilerEBExpressed as:
ΔPEB=(1/β)·PH.e(3)
wherein: beta is the electric heat conversion efficiency of the electric boiler, 0.99 is selected,
the abandoned wind power when the system only containing the cogeneration unit does not supply heat is expressed as follows:
wherein: n is the total number of conventional thermal power generating units;
r is the total number of the cogeneration units;
k is the number of the wind turbine generators;
Figure BDA0000861954510000072
the minimum electric output value of the ith unit at the moment t is the electric output value of the cogeneration unit when heat is not supplied;
Figure BDA0000861954510000073
the predicted output of the jth wind turbine generator set at the moment t is obtained;
PL.tload prediction value at the moment t of the system;
the abandoned wind generated when the system only comprises the cogeneration unit supplies heat consumes the space:
Figure BDA0000861954510000074
2) electric boiler heating power capable of eliminating abandoned wind to the utmost extent
When the system completely consumes the abandoned wind power generated only by the cogeneration unit during heat supply under the combined action of the heat-storage cogeneration unit and the electric boiler, the purposes of heat supply and optimal economy can be simultaneously achieved:
Pw.h.t=ΔPw.ech(6)
the calculation formula of the heat supply power of the electric boiler for obtaining the limit absorption abandoned wind is as follows:
PH.e.lim=(Pw0.t-Cv·Phe2.max)·β (7)
that is, in a certain total heat supply range, the heat supply quantity of the electric boiler which completely consumes the abandoned wind is only equal to Pw0.t、Cv、Phe2.maxBeta is related to the total heat supply load of the system, and the most appropriate electric boiler capacity is arranged according to the power grid structure on the basis of analyzing the wind power resource characteristics and the load characteristics of the power grid when an electric boiler project is planned and constructed according to the principle so as to achieve the aim of optimal economy;
3) wind curtailment and accommodation coordinated scheduling modeling
a) Objective function
The economic dispatching of the power system containing wind power usually takes the minimum power generation cost of the system as a dispatching target, and adds the wind abandoning cost in the cost for checking the effect of the heat storage device and the electric boiler on the consumption of the wind abandoning power, so that the objective function of the wind abandoning and coordination dispatching model is as follows:
min(F1(Pi)+F2(Perl.i,Ph.i,Pcr.i)+λ·PW.qf) (8)
wherein: f1The power generation cost function of the conventional thermal power generating unit;
F2is a power generation cost function of the cogeneration unit;
Ph.iis the total heating power;
Perl.ithe electric output of the ith cogeneration unit,
Pcr.iStoring and releasing heat power of a heat storage device of the ith cogeneration unit;
Pw.qfthe wind power of the system is abandoned;
lambda is the cost coefficient of the waste wind;
the power generation cost of the thermal power generating unit comprises coal consumption cost and start-stop cost,
Figure BDA0000861954510000081
wherein: a isi、bi、ciA quadratic fitting coefficient of the coal consumption cost of the conventional unit;
Pi.trepresenting the electric output of the conventional unit i at the time t;
ui.tthe starting and stopping states of the unit i at the moment t are shown, and 1 and 0 respectively show operation and shutdown;
Sithe starting cost of the unit i is calculated;
because cogeneration undertakes the heat supply task, the shutdown condition can not appear, so its cost of electricity generation only includes the coal consumption cost, according to the electric heat operating characteristics who contains heat-retaining cogeneration unit, its coal consumption cost of a certain moment is after the unit rejects heat supply capacity of heat-retaining device, converts electricity, hot output into the electric power under the pure condition:
Figure BDA0000861954510000082
wherein: a isi、bi、ciIs thermoelectricityThe coal consumption cost coefficient of the co-production unit,
when the electric output of the cogeneration is not changed, different heat charging and discharging plans and different heat-storing cogeneration heat supply powers can generate different costs, the heat is supplied by the cogeneration unit at a non-wind abandoning moment, and the electricity boiler is accessed to consume the wind abandoning at the wind abandoning moment, so that two optimization sub-problems exist under the scheduling optimization main problem: an optimal heat storage and release planning subproblem and an optimal electric boiler heat supply proportion subproblem,
the optimal heat storage and discharge plan sub-problem can be given to the heat supply proportion P of a certain electric boilerh.i.stemAnd then, when each node of the main problem of the outer layer scheduling optimization, namely the electric output of all the units is given, the optimal heat storage and release plan under the condition is obtained:
Figure BDA0000861954510000091
b) constraint conditions
The curtailment wind absorption dispatching model for coordinating heat supply considers the constraint conditions of the thermodynamic system, including the constraint of a heat supply balance equation and the constraint of the operation of a heat storage device, besides the traditional constraint conditions of the electric power system, such as the constraint of load balance, the constraint of unit output, the constraint of unit climbing, the constraint of unit starting and shutdown, the constraint of positive and negative rotation standby and the like,
and (3) heat supply balance constraint:
Figure BDA0000861954510000092
wherein:
Figure BDA0000861954510000093
the heating power of the electric boiler at the time t is provided;
the total heat supply power of the heat-storage cogeneration unit is t moment;
Phz.tfor the thermal load at the time t,
and (3) operation constraint of the heat storage device:
Figure BDA0000861954510000095
in the formula:
Figure BDA0000861954510000096
the heat storage quantity of the ith heat storage device at the time t is shown;
Figure BDA0000861954510000097
respectively representing the maximum storage and heat release power of the ith heat storage device;
Si.maxindicating the heat storage capacity of the ith heat storage device;
the storage and heat release power of the ith heat storage device at the time t is shown;
4) curtailment and accommodation coordination scheduling model solution
The electric output of the cogeneration unit is a function of the heat output of the cogeneration unit, and if the heat load changes, the constraint condition of the electric output of the cogeneration unit in the main economic dispatching problem changes, so that the constraint condition cannot be solved by simple planning software such as gurobi and the like, and therefore, a certain element in a heat supply proportion set of an electric boiler
Figure BDA0000861954510000099
Firstly, randomly generating an initial population of an economic dispatching problem, modifying elements of each individual through a correction process, and returning fitness and a relatively optimal heat storage and release plan; then continuously iterating to obtain the most economic dispatching plan under the heat supply proportion to form an optimal plan set corresponding to the heat supply proportion set; and finally, obtaining the optimal heat supply proportion of the electric boiler and the most economic dispatching plan result.
The specific embodiment of the invention is as follows: based on an IEEE118 node model, the effect of the established wind curtailment coordination scheduling model on further expanding the wind curtailment consumption space of the power grid and saving the scheduling cost is verified through the changes of the wind curtailment energy consumption and scheduling economy of the systems before and after the heat storage device and the electric boiler are added through simulation analysis.
The specific embodiment is as follows:
1 example conditions
1) The predicted value of the grid load is shown in table 1;
2) the parameters of the cogeneration unit are shown in the attached table 2, and the parameters of other units are the same as the parameters of the standard model;
3) the maximum heat charging and discharging power of the heat storage device is 100MW, and the maximum heat storage capacity is 900MW & h;
4) the #25 and #26 units are wind power plants, the installed capacities are 300MW, and the predicted values of the wind power are shown in Table 3.
4) The total heat load is set to be 200 MW;
5) two cogeneration units in the system respectively supply heat to two different areas, the heat supply is mutually independent, and each heat supply area comprises an electric boiler heat supply project with the maximum heat supply power of 200 MW;
6) respectively calculating the total cost of the system day-ahead economic dispatch in the following three modes, and comparing the economic efficiency and the wind abandon result:
mode 1: the heat storage device and the electric boiler do not work;
mode 2: heat is supplied only by the heat-storage cogeneration unit;
mode 3: the electric boiler and the heat storage device supply heat cooperatively.
TABLE 1 predicted load power values for each time interval
Tab.1 Prediction of power load in each period
TABLE 2 Cogeneration Unit parameters
Tab.2 Parameters of CHP unit
Figure BDA0000861954510000102
TABLE 3 wind power prediction value
Tab.3 wind power prediction
Figure BDA0000861954510000103
Figure BDA0000861954510000111
TABLE 4 comparison of economic dispatch performances for three heating modes
Tab.1 Comparison of the economy of three heating modes
Figure BDA0000861954510000112
2 calculation of arithmetic example
a) Space mathematical model for wind curtailment and absorption
FIG. 1 shows a structure diagram of a coordinated heat supply integrated system, and according to calculation conditions, it is found that wind abandoning moments occur in 4 th, 5 th and 6 th time periods, wherein the 4 th and 6 th time periods can completely eliminate the abandoned wind only through the action of a heat storage device, and the heat supply power P of a wind power boiler is only required to be eliminated at the limit of the 5 th time periodH.e.lim6
The wind power abandoned in the heat supply of the system only comprising the cogeneration unit in the 6 th period is as follows:
Figure BDA0000861954510000113
the total consumption and air abandoning space when heat storage cogeneration and an electric boiler coordinate for heat supply is as follows:
ΔPw.ech=ΔPw.ch+ΔPEB
=Cm(Phz-PH.e)-(Cv+Cm)Phe1.max+Pe.max-Pe.min+CvPhe2.max+(1/β)·PH.e
=0.75×(200-PH.e)-(0.75+0.15)×250+200-100+0.15×1250/9+(1/0.99)×PH.e
=25-0.75PH.e+0.15×1250/9+(1/0.99)×PH.e
b) electric boiler heating power capable of eliminating abandoned wind to the utmost extent
Let Pw.h.6=ΔPw.echObtaining:
PH.e.lim6=(Pw0.t-Cv·Phe2.max)·β
=(118.57465-0.15×1250/9)×0.99=96.7639035MW
therefore, the method comprises the following steps:
the heating proportion alpha of the electric boiler is 967639035/200-0.4838-48.38%
Namely, under the condition of the calculation example, the 5 th time interval electric boiler can obtain the best economy when the heat supply proportion of 48.38 percent and the heat-storage-containing cogeneration unit carry out coordinated heat supply.
c) Wind curtailment and accommodation coordinated scheduling modeling
Based on an IEEE118 standard node model, according to the objective function and the constraint conditions, simulation modeling is carried out by utilizing Matlab language, the main problem of economic dispatching is formed, and meanwhile, collaborative modeling is carried out on the sub problem of the optimal heat supply proportion of the electric boiler and the sub problem of the optimal heat storage and storage planning of the heat storage device.
d) Curtailment and accommodation coordination scheduling model solution
Fig. 2 shows a logical relationship diagram of the economic dispatch main problem and two sub-problems included in the model, the main problem is solved by using a genetic algorithm, and the flow of solving the individual fitness of the main problem for the possible violation of the limit situation is shown in fig. 3. The flow chart of the economic dispatch main problem solved by the genetic algorithm is shown in FIG. 4.
Fig. 5 shows the comparison of the economic cost convergence characteristics in three different modes, and fig. 6 shows the wind curtailment characteristics in three different heating modes. Table 4 gives a comparison of the performance of the economic dispatch for the three schemes. Therefore, the system supplies heat to the heat load by the traditional combined heat and power generation unit, the wind power internet space is reduced due to the rigid coupling of heat and power, the wind abandon phenomenon is easy to occur, and the cost is the highest; when the mode 2 is adopted, the output of the cogeneration unit can be flexibly adjusted through the heat storage device, a certain space for consuming and abandoning wind is provided, and the scheduling cost is reduced; by adopting the mode 3, coordinated heat supply is carried out according to the heat supply load of the electric boiler which can absorb the abandoned wind to the utmost extent, the power grid abandoned wind absorption space can be further expanded, the optimal economy is obtained, and the dispatching cost is reduced by 11.71 percent compared with that when the heat storage device and the electric boiler are not added. The curves of the heat storage capacity with time when the optimal heat storage and release plans are adopted in the modes 2 and 3 are shown in fig. 7 and 8, respectively.
When the mode 3 is adopted for heat supply, under the condition that other conditions are not changed, the most economic dispatching cost of the system has a certain relation with the heat supply proportion of the electric boiler, the relation between the most economic dispatching cost and the heat supply proportion of the electric boiler is calculated through simulation, the relation between the most economic dispatching cost and the heat supply proportion of the electric boiler is shown in fig. 9, the optimal heat supply proportion of the electric boiler obtained through simulation calculation is 48.38%, and the optimal heat supply proportion is the. The left part of the optimal heat supply proportion of the curve is approximately linearly decreased, the reason is that the electricity abandoning amount of the system is gradually reduced by the consumption of the electric boiler along with the increase of the heat supply proportion of the electric boiler, and the two approximately have a linear relation; the right part of the optimal heat supply proportion of the curve is approximately linearly increased, because the abandoned wind amount is zero at the moment, but the heat supply of the electric boiler does not completely consume the abandoned wind amount, and the coal consumption cost of the system is approximately linearly increased to increase the total scheduling cost.
3 summary of the examples
1) The total social cost can be reduced to the maximum extent by the aid of the waste air consumption coordination scheduling model of the heat-storage cogeneration unit and the electric boiler, and is reduced by 11.71% compared with the method without the heat storage device and the electric boiler;
2) after the heat storage device is additionally arranged on the side of the cogeneration unit, the most economic dispatching cost is reduced by 6.01 percent compared with the dispatching cost without the heat storage device;
3) the method for the coordinated scheduling of the waste wind consumption of the heat-storage cogeneration unit and the electric boiler can consume the maximum waste wind power, and simultaneously, the total scheduling cost of the system is minimized and is reduced by 6.07 percent compared with the economic scheduling cost which only contains a heat storage device and does not consider the connection of the electric boiler;
4) in the system for coordinately supplying heat by the heat-storage cogeneration unit and the electric boiler, when the electric boiler supplies heat according to the heat supply amount of the limit consumption abandoned wind electricity quantity, the best economical efficiency can be obtained.
In conclusion, the invention can further expand the power grid wind curtailment and consumption space, save the dispatching cost and provide a basis for the power grid dispatching department to make a day-ahead dispatching plan.
The terms, diagrams, tables and the like in the embodiments of the present invention are used for further description, are not exhaustive, and do not limit the scope of the claims, and those skilled in the art can conceive other substantially equivalent alternatives without inventive step in light of the teachings of the embodiments of the present invention.

Claims (1)

1. A heat-storage cogeneration unit and electric boiler-based abandoned wind consumption coordination scheduling method is characterized by comprising the following steps:
1) establishment of curtailment space mathematical model
When the heat-storage cogeneration unit and the electric boiler coordinate to supply heat, the heat-storage cogeneration unit and the electric boiler respectively generate certain absorption and abandoned air spaces:
Figure FDA0002260658770000011
wherein: pw.h.tRepresenting the abandoned wind power of the system only containing the cogeneration unit during heat supply at the time t;
Pw0.trepresenting the abandoned wind power when the system only containing the cogeneration unit does not supply heat at the time t;
ΔPw.h.trepresenting that only a waste wind absorption space generated by heat supply of the cogeneration unit system is contained at the moment t;
ΔPw.echrepresenting a waste wind absorption space when heat-storage cogeneration and an electric boiler coordinate to supply heat;
ΔPw.chrepresenting a waste wind absorption space generated by the heat-storage cogeneration unit;
ΔPEBrepresenting a waste wind absorption space generated by the electric boiler;
the total heat supply load of the heat and power cogeneration unit is larger in winter, and for a system comprising a single electric boiler and the heat and power cogeneration unit, the heat and power cogeneration unit containing heat storageThe waste wind consumption space generated during heat supply is expressed as the heat supply amount P of the electric boilerH.eFunction of (c):
Figure FDA0002260658770000012
wherein: cmThe elastic coefficient is the back pressure working condition elastic coefficient of the cogeneration unit;
Cvthe electric power reduction value is the electric power reduction value when the unit steam quantity is extracted under the fixed steam quantity;
PH.esupplying heat power to the electric boiler;
Ph.cmaxthe maximum heat storage power of the heat storage device;
Pe.maxthe maximum electric output when the unit does not supply heat;
Pe.minminimum power output when the unit does not supply heat;
Phe1.maxthe heat supply power is the heat supply power when the unit works under the back pressure working condition under the maximum steam inlet quantity;
Phe2.maxthe heat supply power is the heat supply power when the unit works under the back pressure working condition under the minimum steam inlet quantity;
Phzis the total heating load;
abandoned wind absorption space delta P generated by electric boilerEBExpressed as:
ΔPEB=(1/β)·PH.e(3)
wherein: beta is the electric heat conversion efficiency of the electric boiler, 0.99 is selected,
the abandoned wind power when the system only containing the cogeneration unit does not supply heat is expressed as follows:
Figure FDA0002260658770000021
wherein: n is the total number of conventional thermal power generating units;
r is the total number of the cogeneration units;
k is the number of the wind turbine generators;
Figure FDA0002260658770000022
the minimum electric output value of the ith unit at the moment t is the electric output value of the cogeneration unit when heat is not supplied;
the predicted output of the jth wind turbine generator set at the moment t is obtained;
PL.tload prediction value at the moment t of the system;
the abandoned wind generated when the system only comprises the cogeneration unit supplies heat consumes the space:
Figure FDA0002260658770000024
2) electric boiler heating power capable of eliminating abandoned wind to the utmost extent
When the system completely consumes the abandoned wind power generated only by the cogeneration unit during heat supply under the combined action of the heat-storage cogeneration unit and the electric boiler, the purposes of heat supply and optimal economy can be simultaneously achieved:
Pw.h.t=ΔPw.ech(6)
obtaining the electric boiler heat supply power P of the limit absorption abandoned windH.e.limThe calculation formula of (2) is as follows:
PH.e.lim=(Pw0.t-Cv·Phe2.max)·β (7)
that is, in a certain total heat supply range, the heat supply quantity of the electric boiler which completely consumes the abandoned wind is only equal to Pw0.t、Cv、Phe2.maxBeta is related to the total heat supply load of the system, and the most appropriate electric boiler capacity is arranged according to the power grid structure on the basis of analyzing the wind power resource characteristics and the load characteristics of the power grid when an electric boiler project is planned and constructed according to the principle so as to achieve the aim of optimal economy;
3) wind curtailment and accommodation coordinated scheduling modeling
a) Objective function
The economic dispatching of the wind power-containing electric power system takes the minimum power generation cost of the system as a dispatching target, and adds the abandoned wind cost in the cost for checking the effect of the heat storage device and the electric boiler on the abandoned wind power consumption, so that the objective function of the abandoned wind consumption coordination dispatching model is as follows:
min(F1(Pi)+F2(Perl.i,Ph.i,Pcr.i)+λ·PW.qf) (8)
wherein: f1The power generation cost function of the conventional thermal power generating unit;
F2is a power generation cost function of the cogeneration unit;
Ph.iis the total heating power;
Perl.ithe electric output of the ith cogeneration unit,
Pcr.iStoring and releasing heat power of a heat storage device of the ith cogeneration unit;
Pw.qfthe wind power of the system is abandoned;
lambda is the cost coefficient of the waste wind;
the power generation cost of the thermal power generating unit comprises coal consumption cost and start-stop cost,
wherein: a isi、bi、ciA quadratic fitting coefficient of the coal consumption cost of the conventional unit;
Pi.trepresenting the electric output of the conventional unit i at the time t;
ui.tthe starting and stopping states of the unit i at the moment t are shown, and 1 and 0 respectively show operation and shutdown;
Sithe starting cost of the unit i is calculated;
because cogeneration undertakes the heat supply task, the shutdown condition can not appear, so its cost of electricity generation only includes the coal consumption cost, according to the electric heat operating characteristics who contains heat-retaining cogeneration unit, its coal consumption cost of a certain moment is after the unit rejects heat supply capacity of heat-retaining device, converts electricity, hot output into the electric power under the pure condition:
Figure FDA0002260658770000032
wherein: a isi、bi、ciFor the coal consumption cost coefficient of the cogeneration unit,
when the electric output of the cogeneration is not changed, different heat charging and discharging plans and different heat-storing cogeneration heat supply powers can generate different costs, all the cogeneration units supply heat at the non-wind abandoning moment, and the electric boiler is connected to consume the wind abandoning moment, so that two optimization sub-problems exist under the scheduling optimization main problem: an optimal heat storage and release planning subproblem and an optimal electric boiler heat supply proportion subproblem,
optimal heat storage and discharge plan sub-problem in the given heat supply proportion P of a certain electric boilerh.i.stemAnd then, when each node of the main problem of the outer layer scheduling optimization, namely the electric output of all the units is given, the optimal heat storage and release plan under the condition is obtained:
Figure FDA0002260658770000033
b) constraint conditions
The curtailment wind absorption dispatching model for coordinating heat supply considers the traditional constraint conditions of the power system, the constraint conditions comprise load balance constraint, unit output constraint, unit climbing constraint, unit starting and stopping constraint and positive and negative rotation standby constraint, thermal system constraint comprises heat supply balance equality constraint and heat storage device operation constraint,
and (3) heat supply balance constraint:
Figure FDA0002260658770000034
wherein:
Figure FDA0002260658770000041
the heating power of the electric boiler at the time t is provided;
Figure FDA0002260658770000042
the total heat supply power of the heat-storage cogeneration unit is t moment;
Phz.tis the thermal load at time t;
and (3) operation constraint of the heat storage device:
Figure FDA0002260658770000043
in the formula:
Figure FDA0002260658770000044
the heat storage quantity of the ith heat storage device at the time t is shown;
Figure FDA0002260658770000045
respectively representing the maximum storage and heat release power of the ith heat storage device;
Si.maxindicating the heat storage capacity of the ith heat storage device;
the storage and heat release power of the ith heat storage device at the time t is shown;
4) curtailment and accommodation coordination scheduling model solution
The electric output of the cogeneration unit is a function of the heat output of the cogeneration unit, and if the heat load changes, the constraint condition of the electric output of the cogeneration unit in the main economic dispatching problem changes, so that the constraint condition cannot be solved by simple planning software, and therefore, a certain element in a heat supply proportion set of an electric boiler
Figure FDA0002260658770000047
Firstly, randomly generating an initial population of an economic dispatching problem, modifying elements of each individual through a correction process, and returning fitness and a relatively optimal heat storage and release plan; then continuously iterating to obtain the most economic dispatching plan under the heat supply proportion to form an optimal plan set corresponding to the heat supply proportion set; finally obtaining the optimal heat supply proportion and the optimal path of the electric boilerAnd (4) the scheduling plan result is saved.
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