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CN113256045A - Park comprehensive energy system day-ahead economic dispatching method considering wind and light uncertainty - Google Patents

Park comprehensive energy system day-ahead economic dispatching method considering wind and light uncertainty Download PDF

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CN113256045A
CN113256045A CN202010773898.1A CN202010773898A CN113256045A CN 113256045 A CN113256045 A CN 113256045A CN 202010773898 A CN202010773898 A CN 202010773898A CN 113256045 A CN113256045 A CN 113256045A
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何川
吕祥梅
刘天琪
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Abstract

The invention discloses a park comprehensive energy system day-ahead economic dispatching method considering wind and light uncertainty. Because the CCG method has better calculation efficiency in processing the robust optimization model, the invention applies the CCG method to solve. And finally, carrying out example simulation by using a commercial solver Gurobi to obtain a two-stage robust optimization scheduling strategy considering the combined thermoelectric demand response, verifying that the method can better process the uncertainty in the system, and simultaneously can reduce the operation cost of the park and promote the consumption of new energy.

Description

Park comprehensive energy system day-ahead economic dispatching method considering wind and light uncertainty
Technical Field
The invention belongs to the technical field of optimization operation of a comprehensive energy system, and particularly relates to a park comprehensive energy system day-ahead economic dispatching method considering wind-light uncertainty.
Background
The variance of the actual output and the predicted output of the wind power is far larger than the traditional load variance, and the running mode of a traditional power system is not enough to ensure the reliability of the system. Due to physical limitations of an electric power system (such as climbing limitation of capacity of a conventional generator and a power transmission line), wind power reduction frequently occurs, so that the wind power utilization rate is low, and the enthusiasm of wind power investment is restrained in the long run. When a large-scale renewable energy source is connected into a power system, the output of the renewable energy source is difficult to be accurately predicted due to strong randomness and intermittence of the renewable energy source, and in planning and scheduling of the power system, the error of the output predicted value of the renewable energy source causes non-negligible influence, in other words, the random fluctuation of renewable energy source power generation reduces the supply flexibility of the energy source system. Therefore, the traditional deterministic optimal scheduling method cannot meet the requirements, and the uncertainty of renewable energy sources needs to be considered on the basis of the original deterministic optimal scheduling method.
Stochastic optimization and robust optimization are typical methods for solving the problem of optimization with uncertainty. Compared with random optimization, the robust optimization has the advantages of simple data acquisition, high solving speed, suitability for solving large-scale uncertainty problems and the like, and is widely applied to the processing of uncertainty problems. At present, many scholars research the application of robust optimization in an integrated energy system, but the existing literature does not fully consider the influence of the energy coupling relation and the load side demand side response of various devices in the system on the uncertainty of renewable energy in the process of processing the wind-light uncertainty of the integrated energy system by using the robust optimization.
The comprehensive energy system model can adaptively adjust the output of the unit to adapt to the change of the generated energy of the renewable energy source through the energy conversion relation among the devices, and the running safety of the system is ensured. The combined thermoelectric demand response can fully utilize the coupling relation among various devices, further improve the capability of the system for dealing with the uncertainty of renewable energy sources, reduce the abandoned wind and abandoned light and increase the permeability of the renewable energy sources. Therefore, on the basis of the existing research, a two-stage adjustable robust optimization model of the park comprehensive energy system based on combined heat and power demand response is further considered, and the two-stage adjustable robust optimization model has important significance for the optimized operation of the comprehensive energy system.
Disclosure of Invention
The technical problem to be solved by the invention is to provide a park comprehensive energy system day-ahead economic dispatching method considering wind and light uncertainty, a two-stage adjustable robust optimization model considering combined thermoelectric demand response is established to process uncertainty problems caused by wind and light output in a park, a dual-layer max-min problem in the model is converted into a single-layer max problem through a dual theory, and a CCG (column and constraint generation) method is adopted to solve, so that the dispatching result is more practical while the solving speed is improved, and the consumption of new energy is further promoted.
In order to solve the technical problems, the invention adopts the technical scheme that: in order to consider the uncertainty of renewable energy sources and aim at the problem of day-ahead economic dispatching of a park integrated energy system, a park integrated energy system day-ahead economic dispatching method considering the uncertainty of wind and light is provided, and a two-stage adjustable robust model considering the combined heat and power demand response is established. The day-ahead economic dispatching of the park comprehensive energy system aims at a basic scene with wind power and photovoltaic output values as predicted values, and when uncertainty occurs in operation, the park comprehensive energy system can adaptively and safely redistribute a generator set, a heat supply unit, P2G equipment, energy storage equipment and energy exchange between a park and a superior network. The optimal scheduling decision completely conforms to the idea of a two-stage adjustable robust model. In other words, the start-stop state of the gas turbine and the cogeneration unit is determined in the first stage under the basic scene, and the worst unsafe scene of the system is searched in the second stage when uncertainty occurs. The two-stage adjustable robust scheduling model provided by the invention assumes that the start-stop state of the unit is a first-stage variable, namely when the uncertain variable of the system changes in the fluctuation interval of the uncertain variable, the start-stop state of the unit is kept unchanged, because the physical characteristics of most generator sets limit that the start-stop state of the unit cannot be changed rapidly under the uncertain condition.
A park comprehensive energy system day-ahead economic dispatching method considering wind and light uncertainty comprises the following steps:
(1) determining the specific composition of the multi-energy park, including the introduced new energy form and the specific equipment composition;
(2) establishing models of various energy conversion equipment in the park;
(3) establishing a demand response model;
(4) on the premise of meeting system safety constraints, establishing a two-stage adjustable robust model considering combined heat and power demand response by taking the minimum running cost of a basic scene as a target function;
(5) obtaining an abstract expression of a two-stage adjustable robust optimization model of the park comprehensive energy system day-ahead economic dispatching;
(6) establishing a maximum and minimum subproblem of worst scene identification;
(7) solving a two-stage adjustable robust model considering combined heat and power demand response by using a CCG method;
(8) inputting energy access of the park comprehensive energy system, new energy output data, equipment parameters and operation parameters, and solving a park comprehensive energy system day-ahead economic dispatching two-stage robust optimization model considering wind-light uncertainty by adopting a commercial solver Gurobi to obtain a dispatching strategy of the park comprehensive energy system.
Further, the specific composition of the park integrated energy system in the step (1) is as follows:
(1.1) the new energy form of the park integrated energy system is as follows: wind power and photovoltaic power generation;
(1.2) energy conversion equipment introduced into a park comprehensive energy system comprises: electricity-to-gas equipment, an electric boiler, a gas turbine, a cogeneration unit and gas/heat storage equipment.
The energy conversion equipment models in the park are as follows;
(2.1) model of electric gas-converting apparatus
Figure BDA0002617663140000031
Figure BDA0002617663140000032
In the formula: t is scheduling time; m is an index of the electric-to-gas equipment;
Figure RE-GDA0002981991800000023
are respectively provided for electric gas (P2G)Reserve gas power, consumed power and electricity-to-gas efficiency, LHANGTaking 9.7kWh/m as low heating value of natural gas3
Figure RE-GDA0002981991800000024
The minimum and maximum pneumatic power of the mth station P2G.
(2.2) electric boiler model
Figure BDA0002617663140000035
Figure BDA0002617663140000036
In the formula: t is scheduling time; n is an electric boiler index;
Figure BDA0002617663140000037
and
Figure BDA0002617663140000038
respectively the power consumption and the heat production of the nth electric boiler in the time period t;
Figure BDA0002617663140000041
the electric heat conversion efficiency of the nth electric boiler,
Figure BDA0002617663140000042
dividing into the minimum and maximum heating power of the nth electric boiler;
Figure BDA0002617663140000043
the start-stop state of the nth electric boiler in the time period t is shown (1 represents start-up, and 0 represents stop).
(2.3) gas turbine model
Figure BDA0002617663140000044
Figure BDA0002617663140000045
Figure BDA0002617663140000046
Figure BDA0002617663140000047
Figure BDA0002617663140000048
Figure BDA0002617663140000049
Figure BDA00026176631400000410
In the formula: t is scheduling time; q is a gas turbine index;
Figure BDA00026176631400000411
and
Figure BDA00026176631400000412
respectively representing the power generation power and the gas consumption power of the gas turbine; f (-) represents the gas turbine energy consumption curve;
Figure BDA00026176631400000413
and
Figure BDA00026176631400000414
respectively representing the consumption of natural gas required by the startup and shutdown of the gas turbine; a isq、bqAnd cqRepresents the gas coefficient of F (-); l isHANGTaking 9.7kWh/m as low heating value of natural gas3
Figure BDA00026176631400000415
And dividing the power into the minimum and maximum power generation power of the q gas turbines.
Figure BDA00026176631400000416
Representing the power generation power of the qth gas turbine in the t period;
Figure BDA00026176631400000417
in the start-stop state of the qth gas turbine in the time period t (1 represents start-up, 0 represents stop),
Figure BDA00026176631400000418
starting and stopping states of a qth gas turbine in a time period t;
Figure BDA00026176631400000419
Figure BDA00026176631400000420
the upward climbing rate and the downward climbing rate of the qth gas turbine,
Figure BDA00026176631400000421
for the continuous startup and shutdown time of the qth gas turbine in the t-1 period,
Figure BDA00026176631400000422
the minimum startup and shutdown time of the qth gas turbine in the time period t.
(2.4) Combined Heat and Power Unit model
Figure BDA00026176631400000423
Figure BDA00026176631400000424
Figure BDA00026176631400000425
Figure BDA00026176631400000426
Figure BDA0002617663140000051
Figure BDA0002617663140000052
Figure BDA0002617663140000053
In the formula: t is scheduling time; p is an index of the cogeneration unit;
Figure BDA0002617663140000054
and
Figure BDA0002617663140000055
respectively representing heat production power and gas consumption power of a combined heat and power generation unit (CHP);
Figure BDA0002617663140000056
the generated power and the generated efficiency of the micro-combustion engine in the t period,
Figure BDA0002617663140000057
in order to achieve a high heat dissipation loss rate,
Figure BDA0002617663140000058
and
Figure BDA0002617663140000059
the heating coefficient and the flue gas recovery rate of the bromine refrigerator are respectively; l isHANGTaking 9.7kWh/m as low heating value of natural gas3
Figure BDA00026176631400000510
Dividing into the p-th CHP unit minimum and maximum generating power;
Figure BDA00026176631400000511
representing the power generation power of the p-th cogeneration unit in the t period;
Figure BDA00026176631400000512
the starting and stopping states of the pth CHP unit in the period t (1 represents starting, 0 represents stopping),
Figure BDA00026176631400000513
the starting and stopping state of a P-th cogeneration unit in a time period t;
Figure BDA00026176631400000514
the climbing rate and the descending rate of the pth CHP unit;
Figure BDA00026176631400000515
Figure BDA00026176631400000516
for the continuous startup and shutdown time of the pth CHP unit in the t-1 time period,
Figure BDA00026176631400000517
the minimum startup and shutdown time of the p-th CHP unit in the time period t is obtained.
(2.5) energy storage device model
ESS(t)=(1-σS)·ESS(t-1)+ESin(t)·ηin-ESout(t)/ηout
Figure BDA00026176631400000518
Figure BDA00026176631400000519
Figure BDA00026176631400000520
Figure BDA00026176631400000521
Figure BDA00026176631400000522
Figure BDA00026176631400000523
Figure BDA00026176631400000524
Figure BDA00026176631400000525
In the formula: t is scheduling time; ESS (t), ESin(t)、ESout(t) storing energy, stored energy power and released energy power of the energy storage device at a time period t, respectively; ESS (t-1) represents the stored energy of the energy storage device during the t-1 period; sigmaSIs the specific consumption of the energy storage system; etain、ηoutRespectively storing energy and releasing energy efficiency for the energy storage equipment;
Figure BDA00026176631400000526
for the gas storage and discharge power of t period, GSin,max、GSout,maxThe maximum gas storage and gas release power of the gas storage device are respectively;
Figure BDA00026176631400000527
the gas storage capacity of the gas storage equipment in the time period t,
Figure BDA0002617663140000061
the gas storage capacity of the gas storage equipment is t-1 time; cGS,min、CGS,maxMinimum and maximum gas storage capacity, eta, of the gas storage equipmentCGS、ηGS,in、ηGS,outThe self-consumption rate, the gas storage efficiency and the gas release efficiency of the gas storage equipment are improved.
Figure BDA0002617663140000062
For heat-storage, heat-release power for period t, HSin,max、HSout,maxThe maximum heat storage power and the maximum heat release power of the heat storage equipment are respectively;
Figure BDA0002617663140000063
the amount of stored gas in the heat storage device for the period t,
Figure BDA0002617663140000064
the gas storage capacity of the heat storage equipment is t-1 time period; cHS,min、CHS,maxMinimum and maximum heat storage capacity, eta, of the heat storage apparatusCHS、ηHS,in、ηHS,outThe self consumption rate, the heat storage efficiency and the heat release efficiency of the heat storage equipment are obtained.
The demand response model in the step (3) is specifically as follows:
Figure BDA0002617663140000065
Figure BDA0002617663140000066
Figure BDA0002617663140000067
Figure BDA0002617663140000068
Figure BDA0002617663140000069
Pt DR=Pt DR,inte+Pt DR,shif
Figure BDA00026176631400000611
in the formula: t is scheduling time;
Figure BDA00026176631400000612
Pt DR、Pt DR,inte、Pt DR,shif、Pt LD,maxfor a predicted value of the electric load, a demand side response electric load, a demand side transfer electric load, a maximum electric load allowed by the system, Pinte,maxThe maximum interruptible electrical load during the scheduled time.
Figure BDA00026176631400000613
The maximum interruptible and transferable electrical load proportion for the period t. Pt DR,shifPositive means turning out of translatable load, and vice versa.
Figure BDA00026176631400000614
Figure BDA00026176631400000615
Figure BDA00026176631400000616
In the formula: t is scheduling time;
Figure BDA00026176631400000617
Ht DR
Figure BDA00026176631400000618
and
Figure BDA00026176631400000619
respectively setting a predicted value of the thermal load, a demand side response thermal load proportion, a maximum thermal load allowed by a system and an electric load after considering demand response in a time period t; hDR,maxThe maximum interruptible thermal load within the scheduling time; n is a radical oftThe time period is scheduled for the whole time.
The two-stage adjustable robust model considering the combined heat and power demand response in the step (4) is specifically as follows:
(4.1) objective function
Figure BDA0002617663140000071
Figure BDA0002617663140000072
Figure BDA0002617663140000073
Figure BDA0002617663140000074
Figure BDA0002617663140000075
Figure BDA0002617663140000076
Figure BDA0002617663140000077
Figure BDA0002617663140000078
Figure BDA0002617663140000079
Figure BDA00026176631400000710
In the formula: t is scheduling time;
Figure BDA00026176631400000711
respectively the electricity and gas purchase cost;
Figure BDA00026176631400000712
the starting-up and shutdown costs of the pth CHP are respectively;
Figure BDA00026176631400000713
in order to make a penalty on the cost of wind abandonment,
Figure BDA00026176631400000714
punishment of cost for light abandonment;
Figure BDA00026176631400000715
to sell the electricity, CE,ccA compensation cost to interrupt the electrical load for demand side response; pt inIn order to purchase the electric power,
Figure BDA00026176631400000716
in order to obtain the gas purchasing power,
Figure BDA00026176631400000717
wind abandoning power and light abandoning power of the ith fan and the jth group of photovoltaic cells in the t period are respectively set; pt outTo sell electric power, Pt DR,inteThe electrical load is interrupted for the demand side. Δ t is the scheduling time interval, NtIs the number of scheduling periods.
Figure BDA00026176631400000718
Respectively the unit purchase electricity, gas and electricity prices phit WT、φt PVRespectively the punishment price of wind abandoning and light abandoning,
Figure BDA00026176631400000719
is a compensation price per unit demand side response to an interrupted electrical load.
Figure BDA00026176631400000720
The starting and stopping states of the pth CHP in the period t (1 represents starting, 0 represents stopping),
Figure BDA00026176631400000721
the cost of starting up and stopping the p-th CHP is respectively. N is a radical ofWT、NPV、NCHPThe number of the fan, the photovoltaic cell, the electric boiler and the CHP are respectively.
(4.2) constraint Condition
Figure RE-GDA0002981991800000067
Figure RE-GDA0002981991800000068
Figure RE-GDA0002981991800000069
Figure RE-GDA00029819918000000610
Figure RE-GDA00029819918000000611
Figure RE-GDA00029819918000000612
Figure RE-GDA00029819918000000613
Figure RE-GDA00029819918000000614
Figure RE-GDA00029819918000000615
v1t,v2t,v3t,v4t≥0
Figure RE-GDA00029819918000000616
Figure RE-GDA00029819918000000617
Figure RE-GDA00029819918000000618
Figure RE-GDA00029819918000000619
Figure RE-GDA00029819918000000620
Figure RE-GDA00029819918000000621
Figure RE-GDA0002981991800000071
Figure RE-GDA0002981991800000072
Figure RE-GDA0002981991800000073
Figure RE-GDA0002981991800000074
Figure RE-GDA0002981991800000075
Figure RE-GDA0002981991800000076
Figure RE-GDA0002981991800000077
Figure RE-GDA0002981991800000078
Pt u,out≤Pout,min,Pt u,out≤Pout,max:(λ9_3,t9_4,t)
Figure RE-GDA0002981991800000079
Figure RE-GDA00029819918000000710
Figure RE-GDA00029819918000000711
Pt u,DR=Pt u,DR,inte+Pt u,DR,shif:(λ10_6,t)
Figure RE-GDA00029819918000000712
Figure RE-GDA00029819918000000713
Figure RE-GDA00029819918000000714
Figure RE-GDA00029819918000000715
Figure RE-GDA00029819918000000716
In the formula: t is scheduling time; (.)uThe wind and light output is a corresponding adjusted variable under real-time change; v. of1,tAnd v2,tA power balance constraint relaxation variable; v. of3,tAnd v4,tConstraint relaxation variables for thermal balance; omegaWT、ΩPVRespectively are wind power and photovoltaic output uncertain sets;
Figure BDA00026176631400000912
respectively the deviation between the wind power output and the photovoltaic output and the predicted value,
Figure BDA00026176631400000913
Figure BDA00026176631400000914
the ratio of the wind power and photovoltaic output deviation value to the predicted value is obtained;
Figure BDA00026176631400000915
is a variable from 0 to 1 in the uncertain convergence; deltai、ΔjRespectively calculating uncertainty precalculated values of wind power output and photovoltaic output;
Figure BDA00026176631400000916
correcting the climbing and descending of the pth CHP unit;
Figure BDA00026176631400000917
correcting the climbing and descending of the qth gas turbine unit; and lambda (-) is a dual variable corresponding to the constraint condition.
The abstract expression of the two-stage adjustable robust optimization model of the park comprehensive energy system economic dispatch in the past in the step (5) is as follows:
Figure BDA00026176631400000918
s.t. Ax+By≤b
Figure BDA00026176631400000919
in the formula: x represents the starting and stopping states of the units related to the CHP and the gas turbine, y and z represent the basic scene and the rest unit adjustment of the system adjusted according to the wind-light output transformation respectivelyDegree output u is an uncertain variable related to wind power and photovoltaic output uncertainty, cb、cgA, B, B, F, h, C, D, E, F, G can be derived by the objective function and constraint conditions in (4).
The maximum and minimum subproblems identified in the worst scene in the step (6) are specifically as follows:
Figure BDA0002617663140000101
Figure BDA0002617663140000102
Figure BDA0002617663140000103
Figure BDA0002617663140000104
Figure BDA0002617663140000105
Figure BDA0002617663140000106
Figure BDA0002617663140000107
Figure BDA0002617663140000108
Figure BDA0002617663140000109
Figure BDA00026176631400001010
Figure BDA00026176631400001011
Figure BDA00026176631400001012
Figure BDA00026176631400001013
Figure BDA00026176631400001014
Figure BDA00026176631400001015
Figure BDA00026176631400001016
Figure BDA00026176631400001017
Figure BDA00026176631400001018
s.t. λ9_1,t≤0,λ9_2,t≤0,λ9_3,t≤0,λ9_4,t≤0,λ9_5,t≤0,λ9_6,t≤0,t∈NT
λ6_2,q,t≤0,λ6_3,q,t≤0,λ6_4,q,t≤0,λ6_6,q,t≤0,λ6_7,q,t≤0,q∈NGT,t∈NT
λ7_2,p,t≤0,λ7_3,p,t≤0,λ7_4,p,t≤0,λ7_6,p,t≤0,λ7_7,p,t≤0,p∈NCHP,t∈NT
λ8_1,t≤0,λ8_2,t≤0,λ8_3,t≤0,λ8_4,t≤0,t∈NT
λ13_1,t≤0,λ13_2,t≤0,λ13_3,t≤0,λ13_4,t≤0,t∈NT
λ4_2,m,t≤0,λ4_3,m,t≤0,t∈NT,m∈NP2G,t∈NT
λ5_2,n,t≤0,λ5_3,n,t≤0,t∈NT,n∈NEB,t∈NT
λ10_1,t≤0,λ10_2,t≤0,λ10_3,t≤0,λ10_4,t≤0,t∈NT
λ11_3,t≤0,λ11_3,t≤0,λ12_1,t≤0,λ12_2,t≤0,t∈NT
λ10_7≤0,λ10_8≤0,λ11_4≤0,λ11_5≤0,t∈NT
Figure BDA0002617663140000111
Figure BDA0002617663140000112
s.t. -λ1,t6_1,q,t·bq6_2,q,t6_3,q,t6_4,q,t+1+
λ6_4,q,t6_5,p,t+16_5,p,t6_6,q,t6_7,q,t≤0
Figure BDA0002617663140000113
Figure BDA0002617663140000114
1,t9_1,t9_2,t≤0,t∈NT
λ1,t9_3,t9_4,t≤0,t∈NT
λ1,t10_5,t≤0,t∈NT
10_1,t10_2,t10_3,t10_5,t10_710_8=0,t∈NT
10_1,t10_4,t10_5,t10_5,t10_6=0,t∈NT
λ1,t12_1,i,t≤0,t∈NT,i∈NWT
λ1,t12_2,j,t≤0,t∈NT,j∈NPV
2,t7_1,p,t≤0,t∈NT,p∈NCHP
2,t6_1,q,t≤0,t∈NT,q∈NGT
2,t4_1,m,t4_2,m,t4_3,m,t≤0,t∈NT,m∈NP2G
λ2,t9_5,t9_6,t≤0,t∈NT
λ2,t8_2,t8_5,tGS,out≤0,t∈NT
2,t8_1,t8_5,t·ηGS,in≤0,t∈NT
8_3,t8_4,t8_5,t+1·ηGS,in8_5,t≤0,t∈NT3,t·ηh13_2,t13_5,tHS,out≤0,t∈NT
λ3,t·ηh13_1,t13_5,t·ηHS,in≤0,t∈NT13_3,t13_4,t13_5,t+1·ηHS,in13_5,t≤0,t∈NT
3,t·ηh5_1,n,t5_2,n,t5_3,n,t≤0,t∈NT,n∈NEB3,t·ηh7_8,n,t≤0,t∈NT,n∈NEB
λ3,t11_1,t≤0,t∈NTλ11_1,t11_2,t11_3,t11_411_5,t≤0,t∈NT
-1≤λ1,t≤1,-1≤λ3,t≤1,t∈NT
the two-stage adjustable robust model set for solving and considering combined heat and power demand response by using the CCG method in the step (7) is as follows:
(7.1) Main problem
Figure BDA0002617663140000121
Ax+By≤b
(7.2) sub-problem
Figure BDA0002617663140000122
Figure BDA0002617663140000123
(7.3) CCG solving step
Step 1: setting the iteration counter s to 0 and setting the maximum allowed value epsilon of the system for violating the safety regulationsRO
Step 2: solving the main problem, if the main problem is solved, obtaining a system unit start-stop state x and a unit output arrangement y, and performing the step 3; otherwise, stopping iteration and outputting no solution.
And step 3: and (3) solving the maximum and minimum subproblems according to the x and y obtained by the solution in the step (2), and finding out the wind power and photovoltaic output under the worst scene which causes the maximum possibility of violating the safety specified value.
And 4, step 4: if the maximum possible violation safety-specifying value solved in step 3 is less than epsilonROThen x and y are the final optimization solution and the iteration is stopped; otherwise, let s be s +1, and according to the wind power and photovoltaic output value under the worst scene solved in step 3
Figure BDA0002617663140000124
The CCG constraint shown below is added to the main question, returning to step 2.
fTvs≤εRO
Figure BDA0002617663140000125
And (8) the park integrated energy system data further comprises the specific composition of the park integrated energy system, the energy price, the equipment parameters and values of each energy conversion equipment, the demand response proportion, the new energy output fluctuation situation under the basic scene and the worst scene, the maximum violation safety specified value and the predicted value of the new energy output and load.
Compared with the prior art, the invention has the beneficial effects that:
(1) the optimization problem containing uncertainty is solved by robust optimization, and a two-stage adjustable robust optimization model is established, so that a result close to reality can be obtained by only acquiring simple data in the scheduling process of the park comprehensive energy system, and the solving speed is high. The improved two-stage adjustable robust optimization model considers the wind and light uncertainty of the integrated energy system and simultaneously fully considers the influence of the energy coupling relation of various devices in the system and the response of the load side on the uncertainty of renewable energy. The day-ahead economic dispatching of the park comprehensive energy system aims at basic scenes taking wind power and photovoltaic output values as predicted values, and when uncertainty occurs in operation, the park comprehensive energy system can adaptively and safely redistribute a generator set, a heat supply unit, P2G equipment, energy storage equipment and energy exchange between a park and a superior network. The two-stage robust optimization ensures that the system can meet the safety constraint under any condition, minimizes the running cost of a basic scene, and meets the requirements of the system on safety and economy.
(2) After the combined heat and power demand response is considered, the functions of gas energy storage, heat energy storage and electric heat load demand response are fully exerted, the coupling relation among various devices can be fully utilized by the combined heat and power demand response, the capability of the system for coping with the uncertainty of renewable energy sources is further improved, the wind and light abandon is reduced, and the permeability of the renewable energy sources is increased. The comprehensive energy system model can adaptively adjust the output of the unit to adapt to the change of the generated energy of the renewable energy source through the energy conversion relation among the devices, thereby ensuring the safety of the operation of the system, promoting the consumption of the renewable energy source, improving the robustness of the system and improving the economic benefit of the park.
Drawings
FIG. 1 is a flow chart of the steps of the method of the present invention;
FIG. 2 is a diagram of the specific components of the park integrated energy system;
FIG. 3 is a CCG method solving flow chart;
FIG. 4 is a forecast of wind turbines, photovoltaic output, electrical load and thermal load for a typical winter day for a park multi-energy integrated system.
Detailed Description
In order to explain the technical solutions disclosed in the present invention in detail, the present invention will be further described with reference to the accompanying drawings and specific examples.
The invention discloses a park comprehensive energy system day-ahead economic dispatching method considering wind and light uncertainty. The specific implementation step flow is shown in fig. 1, and the technical scheme of the invention comprises the following steps:
step 1: the specific composition of the park integrated energy system is determined, including the new energy forms introduced and the specific equipment composition.
(1.1) the new energy form of the park integrated energy system is as follows: wind power and photovoltaic power generation;
(1.2) energy conversion equipment introduced into a park comprehensive energy system comprises: electricity-to-gas equipment, an electric boiler, a gas turbine, a cogeneration unit and gas/heat storage equipment.
Step 2: and establishing various energy conversion equipment models in the park.
(2.1) the technology of the electric-to-gas equipment model P2G can realize the conversion of electric energy to natural gas, the natural gas is transmitted in a large capacity, long time and long distance through a natural gas pipeline, powerful technical support is provided for the consumption of renewable energy, the large-range and long-distance space-time transfer of wind power can be realized, meanwhile, the P2G response is rapid, and the application prospect is strong. The relationship between the device gas production power and the power consumption and the gas production power limit of the P2G are as follows:
Figure BDA0002617663140000141
Figure BDA0002617663140000142
in the formula: t is scheduling time; m is an index of the electric-to-gas equipment;
Figure BDA0002617663140000143
respectively gas making power, consumed power and electricity-to-gas efficiency, L, of an electricity-to-gas (P2G) facilityHANGTaking 9.7kWh/m as low heating value of natural gas3
Figure BDA0002617663140000151
The minimum and maximum pneumatic power of the mth station P2G.
(2.2) electric boiler model
The introduction of the electric boiler can break the electric-thermal coupling hard constraint of the CHP unit and change the traditional 'heat-fixed-electricity' scheduling mode. The electric boiler can coordinate the peak valley of the electric heating load, and the relation between the heating capacity and the power consumption and the constraint of the heating capacity are as follows:
Figure BDA0002617663140000152
Figure BDA0002617663140000153
in the formula: t is scheduling time; n is an electric boiler index;
Figure BDA0002617663140000154
and
Figure BDA0002617663140000155
respectively the power consumption and the heat production of the nth electric boiler in the time period t;
Figure BDA0002617663140000156
the electric heat conversion efficiency of the nth electric boiler,
Figure BDA0002617663140000157
Figure BDA0002617663140000158
dividing into the minimum and maximum heating power of the nth electric boiler;
Figure BDA0002617663140000159
the start-stop state of the nth electric boiler in the time period t is shown (1 represents start-up, and 0 represents stop).
(2.3) gas turbine model
The gas turbine converts chemical energy in natural gas into electric energy, and the relation between the consumed natural gas power and the generated power, the generated power limit, the climbing constraint and the minimum on-off time constraint are as follows:
Figure BDA00026176631400001510
Figure BDA00026176631400001511
Figure BDA00026176631400001512
Figure BDA00026176631400001513
Figure BDA00026176631400001514
Figure BDA00026176631400001515
Figure BDA0002617663140000161
in the formula: t is scheduling time; q is a gas turbine index;
Figure BDA0002617663140000162
and
Figure BDA0002617663140000163
respectively representing the power generation power and the gas consumption power of the gas turbine; f (-) represents the gas turbine energy consumption curve;
Figure BDA0002617663140000164
and
Figure BDA0002617663140000165
respectively representing the consumption of natural gas required by the startup and shutdown of the gas turbine; a isq、bqAnd cqGas system represented by F (-) orCounting; l isHANGTaking 9.7kWh/m as low heating value of natural gas3
Figure BDA0002617663140000166
And dividing into the q gas turbine minimum and maximum generating power.
Figure BDA0002617663140000167
Representing the power generation power of the qth gas turbine in the t period;
Figure BDA0002617663140000168
the start-stop state of the qth gas turbine in the time period t (1 represents start-up, 0 represents stop),
Figure BDA0002617663140000169
starting and stopping states of a qth gas turbine in a time period t;
Figure BDA00026176631400001610
the upward climbing rate and the downward climbing rate of the qth gas turbine,
Figure BDA00026176631400001611
for the continuous startup and shutdown time of the qth gas turbine in the t-1 period,
Figure BDA00026176631400001612
the minimum startup and shutdown time of the qth gas turbine in the time period t.
(2.4) Combined Heat and Power Unit model
Neglecting the influence of external environment change on the power generation and fuel combustion efficiency, the mathematical relationship of the thermoelectric relationship, the gas-electricity relationship, the relationship between the power generation power, the power generation power limit, the climbing constraint and the minimum on-off time constraint are as follows:
Figure BDA00026176631400001613
Figure BDA00026176631400001614
Figure BDA00026176631400001615
Figure BDA00026176631400001616
Figure BDA00026176631400001617
Figure BDA00026176631400001618
Figure BDA0002617663140000171
in the formula: t is scheduling time; p is an index of the cogeneration unit;
Figure BDA0002617663140000172
and
Figure BDA0002617663140000173
respectively representing heat production power and gas consumption power of a combined heat and power generation unit (CHP);
Figure BDA0002617663140000174
the generated power and the generated efficiency of the micro-combustion engine in the t period,
Figure BDA0002617663140000175
in order to achieve a high heat dissipation loss rate,
Figure BDA0002617663140000176
and
Figure BDA0002617663140000177
the heating coefficient and the flue gas recovery rate of the bromine cooler are respectively; l isHANGTaking 9.7kWh/m as low heating value of natural gas3
Figure BDA0002617663140000178
Dividing into the p-th CHP unit minimum and maximum generating power;
Figure BDA0002617663140000179
representing the power generation power of the p-th cogeneration unit in the t period;
Figure BDA00026176631400001710
the starting and stopping states of the pth CHP unit in the period t (1 represents starting, 0 represents stopping),
Figure BDA00026176631400001711
the starting and stopping state of a P-th cogeneration unit in a time period t;
Figure BDA00026176631400001712
the climbing rate and the descending rate of the pth CHP unit;
Figure BDA00026176631400001713
for the continuous startup and shutdown time of the pth CHP unit in the t-1 time period,
Figure BDA00026176631400001714
the minimum startup and shutdown time of the p-th CHP unit in the time period t is obtained.
(2.5) energy storage device model
The relationship among the energy storage device model, the gas storage/release of the heat storage device, the constraint of the stored/released power and the gas storage at the time t, the constraint of the gas storage and the heat storage capacity of the heat storage device, the gas storage and the heat storage capacity of the heat storage device and the gas storage at the time t-1, the relationship among the stored heat quantity and the stored/released power at the time t and the stored/released power are as follows:
ESS(t)=(1-σS)·ESS(t-1)+ESin(t)·ηin-ESout(t)/ηout
Figure BDA00026176631400001715
Figure BDA00026176631400001716
Figure BDA00026176631400001717
Figure BDA00026176631400001718
Figure BDA0002617663140000181
Figure BDA0002617663140000182
Figure BDA0002617663140000183
Figure BDA0002617663140000184
in the formula: t is scheduling time; ESS (t), ESin(t)、ESout(t) stored energy, stored energy power and released energy power of the energy storage device are respectively in a period of t; ESS (t-1) represents the energy storage capacity of the energy storage device during the t-1 period; sigmaSIs the self-consumption rate of the energy storage system; etain、ηoutRespectively storing energy and releasing energy efficiency for the energy storage equipment;
Figure BDA0002617663140000185
Figure BDA0002617663140000186
gas storage, gas discharge power, GS, for a period of tin ,max、GSout,maxThe maximum gas storage and gas release power of the gas storage device are respectively;
Figure BDA0002617663140000187
the gas storage capacity of the gas storage device for the period t,
Figure BDA0002617663140000188
the gas storage capacity of the gas storage equipment is t-1 time; cGS,min、CGS,maxRespectively the minimum and maximum gas storage capacity, eta, of the gas storage deviceCGS、ηGS,in、ηGS,outThe self-consumption rate, the gas storage efficiency and the gas release efficiency of the gas storage equipment are improved.
Figure BDA0002617663140000189
For heat-storage, heat-release power for period t, HSin,max、HSout,maxThe maximum heat storage power and the maximum heat release power of the heat storage equipment are respectively;
Figure BDA00026176631400001810
the amount of stored gas of the heat storage device for the period t,
Figure BDA00026176631400001811
the gas storage capacity of the heat storage equipment is t-1 time period; cHS,min、CHS,maxMinimum and maximum heat storage capacity, eta, of the heat storage apparatusCHS、ηHS,in、ηHS,outThe self consumption rate, the heat storage efficiency and the heat release efficiency of the heat storage equipment are obtained.
And step 3: and establishing a demand response model.
Dividing the demand side electric load capable of responding into a translatable electric load and an interruptible electric load, considering the interrupting cost of the interruptible load, wherein the sum of the demand side electric load capable of responding and the current time interval electric load needs to be less than the maximum electric load allowed in the current time interval, and the relation between the predicted value of the electric load and the electric load after the demand response is as follows:
Figure BDA0002617663140000191
Figure BDA0002617663140000192
Figure BDA0002617663140000193
Figure BDA0002617663140000194
Figure BDA0002617663140000195
Pt DR=Pt DR,inte+Pt DR,shif
Figure BDA0002617663140000197
in the formula: t is scheduling time;
Figure BDA0002617663140000198
Pt DR、Pt DR,inte、Pt DR,shif、Pt LD,maxfor a preset value of the electric load, a response electric load at a demand side, a transfer electric load at the demand side, and a maximum electric load allowed by a system in a period of t, Pinte,maxThe maximum interruptible electrical load within the scheduled time.
Figure BDA0002617663140000199
The maximum interruptible and transferable electrical load proportion for the period t. Pt DR,shifPositive means turning out of translatable load, and vice versa.
The demand side may respond to thermal load constraints as follows:
Figure BDA00026176631400001910
Figure BDA00026176631400001911
Figure BDA00026176631400001912
in the formula: t is scheduling time;
Figure BDA00026176631400001913
Ht DR、αt HLD
Figure BDA00026176631400001914
and
Figure BDA00026176631400001915
respectively obtaining a predicted value of the thermal load, a demand side response thermal load proportion, a maximum thermal load allowed by a system and an electric load after considering demand response in a time period t; hDR,maxMaximum interruptible thermal load within the scheduling time; n is a radical oftThe time period is scheduled for the whole time.
And 4, step 4: on the premise of meeting the system safety constraint, a two-stage adjustable robust model considering the combined heat and power demand response is established by taking the minimum running cost of a basic scene as a target function.
(4.1) objective function
The two-stage robust optimization model provided by the invention aims to minimize the operation cost of a basic scene on the premise of meeting the system safety constraint, and because no load loss is allowed in the basic scene, a target function does not contain a load loss related variable, and the target function and a related equation are constrained as follows:
Figure BDA0002617663140000201
Figure BDA0002617663140000202
Figure BDA0002617663140000203
Figure BDA0002617663140000204
Figure BDA0002617663140000205
Figure BDA0002617663140000206
Figure BDA0002617663140000207
Figure BDA0002617663140000208
Figure BDA0002617663140000209
Figure BDA00026176631400002010
in the formula: t is scheduling time;
Figure BDA00026176631400002011
respectively the electricity and gas purchase cost;
Figure BDA00026176631400002012
the starting-up and shutdown costs of the pth CHP are respectively;
Figure BDA00026176631400002013
in order to make a penalty on the cost of wind abandonment,
Figure BDA00026176631400002014
penalizing costs for abandoning light;
Figure BDA00026176631400002015
to sell the electricity, CE,ccA compensation cost to interrupt the electrical load for demand side response;
Figure BDA00026176631400002016
in order to purchase the electric power,
Figure BDA00026176631400002017
in order to obtain the gas purchasing power,
Figure BDA00026176631400002018
wind abandoning power and light abandoning power of the ith fan and the jth group of photovoltaic cells in the t period are respectively set; pt outTo sell electric power, Pt DR,inteThe electrical load is interrupted for the demand side. Δ t is the scheduling time interval, NtIs the number of scheduling periods.
Figure BDA00026176631400002019
Respectively the unit price for electricity, gas and electricity,
Figure BDA00026176631400002020
respectively the punishment price of wind abandoning and light abandoning,
Figure BDA00026176631400002021
is the price compensated per unit of demand side response to the interrupted electrical load.
Figure BDA00026176631400002022
The starting and stopping states of the pth CHP in the period t (1 represents starting, 0 represents stopping),
Figure BDA00026176631400002023
the cost of starting up and stopping the p-th CHP is respectively. N is a radical ofWT、 NPV、NCHPThe number of the fan, the photovoltaic cell, the electric boiler and the CHP are respectively.
(4.2) constraint Condition
In order to ensure the safe operation of the system, the section adopts a double-layer max-min model to identify the worst scene causing the least safe operation of the system, namely the maximum security violation specified value (security operation), wherein the maximum security violation specified value of the system in the worst scene is required to be smaller than a preset value epsilonRO,εROThe value is set in relation to a predetermined system security level to ensure safe operation of the campus energy complex. The maximum value violating the system safety regulation, the uncertainty set of wind power output and photovoltaic output, the system energy balance constraint, the slack variable constant larger than zero constraint, the unit output constraint and the unit error correction climbing constraint under the condition of uncertain renewable energy output, the energy storage constraint, the power exchange constraint with a superior network, the demand side response constraint and the wind and light abandoning constraint are as follows in the worst scene under uncertain conditions:
Figure BDA0002617663140000211
Figure BDA0002617663140000212
Figure BDA0002617663140000213
Figure BDA0002617663140000214
Figure BDA0002617663140000215
Figure BDA0002617663140000216
Figure BDA0002617663140000217
Figure BDA0002617663140000218
Figure BDA0002617663140000219
Figure BDA00026176631400002110
v1t,v2t,v3t,v4t≥0
Figure BDA00026176631400002111
Figure RE-RE-GDA00029819918000000617
Figure RE-RE-GDA00029819918000000618
Figure RE-RE-GDA00029819918000000619
Figure RE-RE-GDA00029819918000000620
Figure RE-RE-GDA00029819918000000621
Figure BDA00026176631400002120
Figure BDA00026176631400002121
Figure BDA0002617663140000221
Figure BDA0002617663140000222
Figure RE-RE-GDA0002981991800000073
Figure BDA0002617663140000225
Figure BDA0002617663140000226
Figure BDA0002617663140000227
Figure BDA0002617663140000228
Figure BDA0002617663140000229
Figure BDA00026176631400002210
Figure BDA00026176631400002211
Figure BDA00026176631400002212
-Pt u,in≤-Pin,min,Pt u,in≤Pin,max:(λ9_1,t9_2,t)
Figure BDA00026176631400002213
Figure BDA00026176631400002214
Figure BDA00026176631400002215
Pt u,DR=Pt u,DR,inte+Pt u,DR,shif:(λ10_6,t)
Figure BDA00026176631400002216
Figure BDA00026176631400002217
Figure BDA00026176631400002218
Figure BDA00026176631400002219
Figure BDA00026176631400002220
in the formula: t is scheduling time;
Figure BDA00026176631400002221
Pt u,E,out
Figure BDA00026176631400002222
respectively adopting wind abandoning, light abandoning, electric load after demand response, electric power consumed by P2G, electric power consumed by an electric boiler, power sold in a garden, CHP set output and gas turbine output according to different wind power outputs
Figure BDA00026176631400002223
And photovoltaic output
Figure BDA00026176631400002224
An adjusted real-time value; (.)uThe wind and light output is a corresponding adjusted variable under real-time change; v. of1,tAnd v2,tA power balance constraint relaxation variable; v. of3,tAnd v4,tConstraint relaxation variables for thermal balance; omegaWT、ΩPVRespectively representing wind power output uncertain collection and photovoltaic output uncertain collection;
Figure BDA00026176631400002225
respectively the deviation between the wind power output and the photovoltaic output and the predicted value,
Figure BDA00026176631400002226
the ratio of the wind power and photovoltaic output deviation value to the predicted value is obtained;
Figure BDA0002617663140000231
is a variable from 0 to 1 in the uncertain convergence;Δi. delta j is wind power output uncertainty precalculated values and photovoltaic output uncertainty precalculated values respectively;
Figure BDA0002617663140000232
correcting the climbing and descending of the pth CHP unit;
Figure BDA0002617663140000233
correcting the climbing and descending of the qth gas turbine unit; and lambda (-) is a dual variable corresponding to the constraint condition.
And 5, obtaining an image extraction expression of the two-stage adjustable robust optimization model of the park comprehensive energy system day-ahead economic dispatching.
The proposed two-stage robust optimization model relates to three systems of electricity, gas and heat, involves more constraints, contains uncertain parameters, and is a nonlinear mixed integer programming problem. For ease of discussion, the two-stage robust optimization scheduling model proposed in this section may take the form of an abstract robust optimization model as follows:
Figure BDA0002617663140000234
s.t. Ax+By≤b
Figure BDA0002617663140000235
in the formula: x represents the starting and stopping states of the unit related to the CHP and the gas turbine, and y and z represent bases respectivelyThe dispatching output of other units of the system is adjusted according to the variation of the wind and light output, u is an uncertain variable related to the uncertainty of the wind power and photovoltaic output, and cb、cgA, B, B, F, h, C, D, E, F, G can be derived from the objective function and constraint conditions in step 4.
And 6, establishing the maximum and minimum subproblems of the worst scene identification.
And 4, the sub-problem is the problem of identifying the worst scene, the scene causing the maximum violation of the safety specified value of the system is found through the double-layer max-min problem shown in the step 4, namely specific values of the uncertain quantity in the worst scene are determined, and then the double-layer max-min problem is converted into a single-layer bilinear maximum value optimization sub-problem shown below through a dual theory.
ΔD=ΔD1+ΔD2
Figure BDA0002617663140000241
Figure BDA0002617663140000242
Figure BDA0002617663140000243
Figure BDA0002617663140000244
Figure BDA0002617663140000245
Figure BDA0002617663140000246
Figure BDA0002617663140000247
Figure BDA0002617663140000248
Figure BDA0002617663140000249
Figure BDA00026176631400002410
Figure BDA00026176631400002411
Figure BDA00026176631400002412
Figure BDA00026176631400002413
Figure BDA00026176631400002414
Figure BDA00026176631400002415
Figure BDA00026176631400002416
Figure BDA00026176631400002417
Figure BDA00026176631400002418
s.t. λ9_1,t≤0,λ9_2,t≤0,λ9_3,t≤0,λ9_4,t≤0,λ9_5,t≤0,λ9_6,t≤0,t∈NT
λ6_2,q,t≤0,λ6_3,q,t≤0,λ6_4,q,t≤0,λ6_6,q,t≤0,λ6_7,q,t≤0,q∈NGT,t∈NT
λ7_2,p,t≤0,λ7_3,p,t≤0,λ7_4,p,t≤0,λ7_6,p,t≤0,λ7_7,p,t≤0,p∈NCHP,t∈NT
λ8_1,t≤0,λ8_2,t≤0,λ8_3,t≤0,λ8_4,t≤0,t∈NT
λ13_1,t≤0,λ13_2,t≤0,λ13_3,t≤0,λ13_4,t≤0,t∈NT
λ4_2,m,t≤0,λ4_3,m,t≤0,t∈NT,m∈NP2G,t∈NT
λ5_2,n,t≤0,λ5_3,n,t≤0,t∈NT,n∈NEB,t∈NT
λ10_1,t≤0,λ10_2,t≤0,λ10_3,t≤0,λ10_4,t≤0,t∈NT
λ11_3,t≤0,λ11_3,t≤0,λ12_1,t≤0,λ12_2,t≤0,t∈NT
λ10_7≤0,λ10_8≤0,λ11_4≤0,λ11_5≤0,t∈NT
Figure BDA0002617663140000251
Figure BDA0002617663140000252
s.t. -λ1,t6_1,q,t·bq6_2,q,t6_3,q,t6_4,q,t+1+
λ6_4,q,t6_5,p,t+16_5,p,t6_6,q,t6_7,q,t≤0
Figure BDA0002617663140000253
Figure BDA0002617663140000254
1,t9_1,t9_2,t≤0,t∈NT
λ1,t9_3,t9_4,t≤0,t∈NT
λ1,t10_5,t≤0,t∈NT
10_1,t10_2,t10_3,t10_5,t10_710_8=0,t∈NT
10_1,t10_4,t10_5,t10_5,t10_6=0,t∈NT
λ1,t12_1,i,t≤0,t∈NT,i∈NWT
λ1,t12_2,j,t≤0,t∈NT,j∈NPV
2,t7_1,p,t≤0,t∈NT,p∈NCHP
2,t6_1,q,t≤0,t∈NT,q∈NGT
2,t4_1,m,t4_2,m,t4_3,m,t≤0,t∈NT,m∈NP2G
λ2,t9_5,t9_6,t≤0,t∈NT
λ2,t8_2,t8_5,tGS,out≤0,t∈NT
2,t8_1,t8_5,t·ηGS,in≤0,t∈NT
8_3,t8_4,t8_5,t+1·ηGS,in8_5,t≤0,t∈NT3,t·ηh13_2,t13_5,tHS,out≤0,t∈NT
λ3,t·ηh13_1,t13_5,t·ηHS,in≤0,t∈NT13_3,t13_4,t13_5,t+1·ηHS,in13_5,t≤0,t∈NT
3,t·ηh5_1,n,t5_2,n,t5_3,n,t≤0,t∈NT,n∈NEB3,t·ηh7_8,n,t≤0,t∈NT,n∈NEB
λ3,t11_1,t≤0,t∈NTλ11_1,t11_2,t11_3,t11_411_5,t≤0,t∈NT
-1≤λ1,t≤1,-1≤λ3,t≤1,t∈NT
And 7, solving a two-stage adjustable robust model considering the combined heat and power demand response by utilizing a CCG (column and constraint generation) method.
(7.1) Main problem
Figure BDA0002617663140000261
Ax+By≤b
(7.2) sub-problem
Figure BDA0002617663140000262
Figure BDA0002617663140000263
(7.3) CCG solving step
Step (7.3.1): setting the iteration counter s to 0, and setting the maximum value epsilon allowed by the system to violate the safety regulationRO
Step (7.3.2): solving the main problem, if the main problem is solved, obtaining a system unit start-stop state x and a unit output arrangement y, and performing the step (7.3.3); otherwise, stopping iteration and outputting no solution.
Step (7.3.3): and (4) solving the maximum and minimum subproblems according to the x and y obtained by the solution in the step (7.3.2), and finding out the wind power and photovoltaic output under the worst scene which causes the maximum possibility of violating the safety specified value.
Step (7.3.4): if the maximum possible violation safety regulation value solved in step (7.3.3) is less than epsilonROThen x and y are the final optimization solution and the iteration is stopped; otherwise, let s be equal to s +1, and according to the wind power and photovoltaic output value in the worst scene solved in step (7.3.3)
Figure BDA0002617663140000264
The CCG constraint shown below is added to the main question, returning to step (7.3.2).
fTvs≤εRO
Figure BDA0002617663140000271
And 8, inputting the data of the park comprehensive energy system, and further comprising the specific composition, energy price, equipment parameters and values of each energy conversion equipment, demand response proportion, new energy output fluctuation conditions under a basic scene and a worst scene, maximum violation safety specified values, predicted values of new energy output and load and the like of the park comprehensive energy system, and solving the two-stage adjustable robust optimization operation model of the park comprehensive energy system by adopting a commercial solver Gurobi to obtain a robust optimization scheduling result.
The effects of the present invention will be described in detail below with reference to specific examples.
(1) Introduction to the examples.
Fig. 2 shows the specific components of the park energy system. And (4) selecting a multi-energy complementary park system model containing wind, light, gas, storage and consideration of electricity-to-gas and electricity-to-heat technologies in a simulation mode. The system comprises a gas turbine, a wind driven generator, an electric boiler, P2G equipment, heat storage equipment, gas storage equipment, two CHPs and a group of photovoltaic cells. Heating coefficient of bromine refrigerator
Figure BDA0002617663140000273
And the recovery rate of flue gas
Figure BDA0002617663140000274
Respectively 0.9 and 1.2, and the starting-up and shutdown costs of the gas turbine, the CHP and the electric boiler are respectively as follows: 3.5, 1.94, 2.74 yuan. Assuming that the initial state of the CHP and the gas turbine is the off-stream state, the initial gas storage capacity of the gas storage equipment is 10m3The initial heat storage capacity of the heat storage equipment is 100 kW.h, and the self-consumption rate of the gas storage and heat storage equipment is 0.01. The predicted values of the fan, the photovoltaic output, the electric load and the heat load of the park multi-energy integrated system in the typical winter day are shown in fig. 4.
(2) Description of embodiment scenarios.
In order to verify the effectiveness of the proposed two-stage robust adjustable optimization model considering the response of the combined heat and power demand, 7 scheduling operation modes shown in table 1 are set.
Table 17 scheduling operation modes
Figure BDA0002617663140000272
Figure BDA0002617663140000281
The wind power and photovoltaic predicted output is adjusted to be 2 times of the original output, and meanwhile uncertainty of wind and photovoltaic output is considered, and a new operation scheme 1-7 is obtained. The threshold value of the safety regulation violation is set to be 0, namely the system does not allow to lose load and overload under any scene, and the uncertain budget of the wind power output and the photovoltaic output is assumed to be 24.
And increasing the electrical load to 2.4 times of the original electrical load, and simultaneously considering the uncertainty of wind-solar output to obtain a new operation scheme 8-14, wherein the violation safety specified value is set to be 0.
(3) Examples analysis of results.
Table 2 gives the operating costs and violation of safety regulations for operating scenarios 1-7 at different uncertainty ratios, from which can be derived: along with the increase of the uncertain proportion of the wind power output and the photovoltaic output, the operation cost of the park is increased, and the value of the maximum violation of the safety regulation which possibly occurs in the park is also larger. However, with the continuous addition of energy conversion equipment such as heat storage equipment, P2G and gas storage equipment thereof, the park can continuously adjust the energy storage state in real time to cope with the real-time change of wind power photovoltaic output, the running risk of the system is reduced, the uncertainty of the system can be flexibly coped with by considering demand response, the combined thermoelectric demand response is considered, and the running cost under the basic scene of the park is further reduced.
TABLE 2 running costs and violation of safety regulations for running scenarios 1-7 at different uncertainty ratios
Figure BDA0002617663140000282
Figure BDA0002617663140000291
Table 3 gives the iteration number and violation safety specified value of the operating scheme 1 under different wind power and photovoltaic uncertainty budgets, from which can be obtained: the larger the uncertainty budget value of the renewable energy source is, the fewer the number of iterations required for obtaining an optimization scheme meeting the system requirements is, and the larger the violation of the safety regulation value which may occur in the system is. The robustness of the system can be adjusted by adjusting the uncertainty budget value.
TABLE 3 iteration count and violation of safety regulations for operating scenario 1 under different wind power and photovoltaic uncertainty budgets
Figure BDA0002617663140000292
Table 4 gives the operating costs and violations of safety regulations for operating scenarios 8-14 at different uncertainty ratios, from which one can derive: when the system load demand is obviously greater than the renewable energy output, the renewable energy output can be completely absorbed by the system, the gas-to-electricity conversion is superior to the electricity-to-gas conversion, the P2G equipment does not work, and the introduction of the energy storage equipment can not improve the robustness of the system. When the uncertain ratio of the output of the renewable energy source is 0.2, the comparison scheme of 8-10 shows that the system has more comprehensive equipment and lower operation cost of the system in a basic scene, and the comparison scheme of 10-14 shows that the introduction of the response at the demand side can further reduce the operation cost of the system. Given the operating costs and violation of safety regulations for the comparison schemes 11-14 at uncertain ratios of different renewable energy sources, the combined heat and power demand response can reduce power load losses by reducing thermal loads, greatly enhancing the robustness, flexibility and economy of the campus integrated energy system.
TABLE 4 running costs and violations of safety regulations for running scenarios 8-14 at different uncertainty ratios
Figure BDA0002617663140000301
The above description is only an embodiment of the present invention, but not intended to limit the scope of the present invention, and all equivalent changes or substitutions made by using the contents of the present specification and the drawings, which are directly or indirectly applied to other related arts, should be included within the scope of the present invention.

Claims (9)

1. The method for day-ahead economic dispatching of the park comprehensive energy system considering wind and light uncertainty is characterized by comprising the following steps of:
step 1: determining the specific composition of the park comprehensive energy system, including the introduced new energy form and the specific equipment composition;
step 2: establishing models of various energy conversion equipment in the park;
and step 3: establishing a demand response model;
and 4, step 4: on the premise of meeting system safety constraints, establishing a two-stage adjustable robust model considering combined heat and power demand response by taking the minimum running cost of a basic scene as a target function;
step 5, obtaining an abstract expression of a two-stage adjustable robust optimization model of the park comprehensive energy system day-ahead economic dispatching;
step 6, establishing the maximum and minimum subproblems of the worst scene identification;
step 7, solving a two-stage adjustable robust model considering combined heat and power demand response by using a CCG method;
and 8: inputting energy access of the park comprehensive energy system, new energy output data, equipment parameters and operation parameters, and solving a park comprehensive energy system day-ahead economic dispatching two-stage robust optimization model considering wind-light uncertainty by adopting a commercial solver Gurobi to obtain a dispatching strategy of the park comprehensive energy system.
2. The method for the day-ahead economic dispatch of the park integrated energy system taking into account the uncertainty of wind and light according to claim 1, wherein the park integrated energy system of step 1 is specifically composed of:
(1) the new energy form of the park integrated energy system is as follows: wind power and photovoltaic power generation;
(2) the energy conversion equipment for introducing the park comprehensive energy system comprises: electricity-to-gas equipment, an electric boiler, a gas turbine, a cogeneration unit and gas/heat storage equipment.
3. The method for the day-ahead economic dispatch of the campus integrated energy systems considering the wind and photovoltaic uncertainty as claimed in claim 1, wherein the models of the energy conversion devices in step 2 are as follows;
(1) electric gas conversion equipment model
Figure RE-FDA0002981991790000021
Figure RE-FDA0002981991790000022
In the formula: t is scheduling time; m is an index of the electric-to-gas equipment;
Figure RE-FDA0002981991790000023
respectively gas making power, consumed power and electricity conversion efficiency, L of the electricity conversion (P2G) equipmentHANGTaking 9.7kWh/m as low heating value of natural gas3
Figure RE-FDA0002981991790000024
The minimum and maximum pneumatic power of the mth station P2G.
(2) Electric boiler model
Figure RE-FDA0002981991790000025
Figure RE-FDA0002981991790000026
In the formula: t is scheduling time; n is an electric boiler index;
Figure RE-FDA0002981991790000027
and
Figure RE-FDA0002981991790000028
respectively n electric boilers during time tPower consumed and power produced;
Figure RE-FDA0002981991790000029
the electric heat conversion efficiency of the nth electric boiler,
Figure RE-FDA00029819917900000210
Figure RE-FDA00029819917900000211
dividing into the minimum and maximum heating power of the nth electric boiler;
Figure RE-FDA00029819917900000212
the start-stop state of the nth electric boiler in the time period t is shown (1 represents start-up, and 0 represents stop).
(3) Gas turbine model
Figure RE-FDA00029819917900000213
Figure RE-FDA00029819917900000214
Figure RE-FDA00029819917900000215
Figure RE-FDA00029819917900000216
Figure RE-FDA00029819917900000217
Figure RE-FDA00029819917900000218
Figure RE-FDA00029819917900000219
In the formula: t is scheduling time; q is a gas turbine index;
Figure RE-FDA00029819917900000220
and
Figure RE-FDA00029819917900000221
respectively representing the power generation power and the gas consumption power of the gas turbine; f (-) represents the gas turbine energy consumption curve;
Figure RE-FDA00029819917900000222
and
Figure RE-FDA00029819917900000223
respectively representing the consumption of natural gas required by the startup and shutdown of the gas turbine; a isq、bqAnd cqRepresents the gas coefficient of F (-); l isHANGTaking 9.7kWh/m as low heating value of natural gas3
Figure RE-FDA00029819917900000224
And dividing the power into the minimum and maximum power generation power of the q gas turbines.
Figure RE-FDA00029819917900000225
Representing the power generation power of the qth gas turbine in the t period;
Figure RE-FDA00029819917900000226
the start-stop state of the qth gas turbine in the time period t (1 represents start-up, 0 represents stop),
Figure RE-FDA00029819917900000227
starting and stopping states of a qth gas turbine in a time period t;
Figure RE-FDA00029819917900000228
the upward climbing rate and the downward climbing rate of the qth gas turbine,
Figure RE-FDA0002981991790000031
for the continuous startup and shutdown time of the qth gas turbine in the t-1 period,
Figure RE-FDA0002981991790000032
Figure RE-FDA0002981991790000033
the minimum startup and shutdown time of the qth gas turbine in the time period t.
(4) Combined heat and power generation unit model
Figure RE-FDA0002981991790000034
Figure RE-FDA0002981991790000035
Figure RE-FDA0002981991790000036
Figure RE-FDA0002981991790000037
Figure RE-FDA0002981991790000038
Figure RE-FDA0002981991790000039
Figure RE-FDA00029819917900000310
In the formula: t is scheduling time; p is an index of the cogeneration unit;
Figure RE-FDA00029819917900000311
and
Figure RE-FDA00029819917900000312
respectively representing heat production power and gas consumption power of a combined heat and power generation unit (CHP);
Figure RE-FDA00029819917900000313
the generated power and the generated efficiency of the micro-combustion engine in the t period,
Figure RE-FDA00029819917900000314
in order to achieve a high heat dissipation loss rate,
Figure RE-FDA00029819917900000315
and
Figure RE-FDA00029819917900000316
the heating coefficient and the flue gas recovery rate of the bromine refrigerator are respectively; l isHANGTaking 9.7kWh/m as low heating value of natural gas3
Figure RE-FDA00029819917900000317
Dividing into the p-th CHP unit minimum and maximum generating power;
Figure RE-FDA00029819917900000318
representing the power generation power of the p-th cogeneration unit in the t period;
Figure RE-FDA00029819917900000319
the starting and stopping states of the pth CHP unit in the period t (1 represents starting, 0 represents stopping),
Figure RE-FDA00029819917900000320
the starting and stopping state of a P-th cogeneration unit in a time period t;
Figure RE-FDA00029819917900000321
the climbing rate and the descending rate of the pth CHP unit;
Figure RE-FDA00029819917900000322
for the continuous startup and shutdown time of the pth CHP unit in the t-1 time period,
Figure RE-FDA00029819917900000323
the minimum startup and shutdown time of the p-th CHP unit in the time period t is obtained.
(5) Energy storage equipment model
ESS(t)=(1-σS)·ESS(t-1)+ESin(t)·ηin-ESout(t)/ηout
Figure RE-FDA00029819917900000324
Figure RE-FDA00029819917900000325
Figure RE-FDA00029819917900000326
Figure RE-FDA00029819917900000327
Figure RE-FDA00029819917900000328
Figure RE-FDA0002981991790000041
Figure RE-FDA0002981991790000042
Figure RE-FDA0002981991790000043
In the formula: t is scheduling time; ESS (t), ESin(t)、ESout(t) storing energy, stored energy power and released energy power of the energy storage device at a time period t, respectively; ESS (t-1) represents the stored energy of the energy storage device during the t-1 period; sigmaSIs the self-consumption rate of the energy storage system; etain、ηoutRespectively storing energy and releasing energy efficiency for the energy storage equipment;
Figure RE-FDA0002981991790000044
gas storage, gas discharge power, GS, for a period of tin,max、GSout,maxThe maximum gas storage and gas release power of the gas storage device are respectively;
Figure RE-FDA0002981991790000045
the gas storage capacity of the gas storage device for the period t,
Figure RE-FDA0002981991790000046
the gas storage capacity of the gas storage equipment is t-1 time; cGS,min、CGS,maxRespectively the minimum and maximum gas storage capacity, eta, of the gas storage deviceCGS、ηGS,in、ηGS,outFor storing gasSelf consumption rate, gas storage efficiency and gas release efficiency.
Figure RE-FDA0002981991790000047
For heat-storage, heat-release power for period t, HSin,max、HSout,maxThe maximum heat storage power and the maximum heat release power of the heat storage equipment are respectively;
Figure RE-FDA0002981991790000048
the amount of stored gas in the heat storage device for the period t,
Figure RE-FDA0002981991790000049
the gas storage capacity of the heat storage equipment is t-1 time period;
CHS,min、CHS,maxminimum and maximum heat storage capacity, eta, of the heat storage apparatusCHS、ηHS,in、ηHS,outThe self consumption rate, the heat storage efficiency and the heat release efficiency of the heat storage equipment are obtained.
4. The method for the day-ahead economic dispatch of the campus integrated energy systems considering wind and photovoltaic uncertainty as claimed in claim 1, wherein the demand response model of step 3 is as follows:
Figure RE-FDA00029819917900000410
Figure RE-FDA00029819917900000411
Figure RE-FDA00029819917900000412
Figure RE-FDA00029819917900000413
Figure RE-FDA00029819917900000414
Pt DR=Pt DR,inte+Pt DR,shif
Figure RE-FDA00029819917900000415
in the formula: t is scheduling time;
Figure RE-FDA00029819917900000416
Pt DR、Pt DR,inte、Pt DR,shif、Pt LD,maxpredicted value of electric load, demand side response electric load, demand side transfer electric load, maximum electric load allowed by system, Pinte,maxThe maximum interruptible electrical load within the scheduled time.
Figure RE-FDA00029819917900000417
The maximum interruptible and extractable electrical load proportion for the t period. Pt DR,shifPositive means turning out of translatable load, and vice versa.
Figure RE-FDA0002981991790000051
Figure RE-FDA0002981991790000052
Figure RE-FDA0002981991790000053
In the formula: t is scheduling time;
Figure RE-FDA0002981991790000054
and
Figure RE-FDA0002981991790000055
respectively setting a predicted value of the thermal load, a demand side response thermal load proportion, a maximum thermal load allowed by a system and an electric load after considering demand response in a time period t; hDR,maxThe maximum interruptible thermal load within the scheduling time; n is a radical oftThe time period is scheduled for the whole time.
5. The method for the day-ahead economic dispatch of a campus integrated energy system considering wind and photovoltaic uncertainty as claimed in claim 1, wherein the two-stage tunable robust model considering combined heat and power demand response of step 4 is as follows:
(1) objective function
Figure RE-FDA0002981991790000056
Figure RE-FDA0002981991790000057
Figure RE-FDA0002981991790000058
Figure RE-FDA0002981991790000059
Figure RE-FDA00029819917900000510
Figure RE-FDA00029819917900000511
Figure RE-FDA00029819917900000512
Figure RE-FDA00029819917900000513
Figure RE-FDA00029819917900000514
In the formula: t is scheduling time;
Figure RE-FDA00029819917900000515
respectively the electricity and gas purchase cost;
Figure RE-FDA00029819917900000516
the starting-up and shutdown costs of the pth CHP are respectively;
Figure RE-FDA00029819917900000517
in order to make a penalty on the cost of wind abandonment,
Figure RE-FDA00029819917900000518
punishment of cost for light abandonment;
Figure RE-FDA00029819917900000519
to sell the electricity, CE,ccA compensation cost to interrupt the electrical load for demand side response;
Figure RE-FDA00029819917900000520
in order to purchase the electric power,
Figure RE-FDA00029819917900000521
in order to obtain the gas purchasing power,
Figure RE-FDA00029819917900000522
wind abandoning power and light abandoning power of the ith fan and the jth group of photovoltaic cells in the t period are respectively set; pt outTo sell electric power, Pt DR,inteThe electrical load is interrupted for the demand side. Δ t is the scheduling time interval, NtIs the number of scheduling periods.
Figure RE-FDA00029819917900000523
Respectively the unit price for electricity, gas and electricity,
Figure RE-FDA00029819917900000524
respectively the punishment price of wind abandoning and light abandoning,
Figure RE-FDA00029819917900000525
is a compensation price per unit demand side response to an interrupted electrical load.
Figure RE-FDA00029819917900000526
The starting and stopping states of the pth CHP in the period t (1 represents starting, 0 represents stopping),
Figure RE-FDA00029819917900000527
the cost of starting up and stopping the p-th CHP is respectively. N is a radical ofWT、NPV、NCHPThe number of the fan, the photovoltaic cell, the electric boiler and the CHP are respectively.
(2) Constraint conditions
Figure RE-FDA0002981991790000061
Figure RE-FDA0002981991790000071
In the formula: t is scheduling time; (.)uThe wind and light output is a corresponding adjusted variable under real-time change; v. of1,tAnd v2,tA power balance constraint relaxation variable; v. of3,tAnd v4,tConstraint relaxation variables for thermal balance; omegaWT、ΩPVRespectively representing uncertain collections of wind power output and photovoltaic output;
Figure RE-FDA0002981991790000072
respectively the deviation between the wind power output and the photovoltaic output and the predicted value,
Figure RE-FDA0002981991790000073
the ratio of the wind power and photovoltaic output deviation value to the predicted value is obtained;
Figure RE-FDA0002981991790000074
Figure RE-FDA0002981991790000075
is a variable from 0 to 1 in the uncertain convergence; deltai、△jRespectively calculating uncertainty precalculated values of wind power output and photovoltaic output;
Figure RE-FDA0002981991790000076
correcting the climbing and descending of the pth CHP unit;
Figure RE-FDA0002981991790000077
correcting the climbing and descending of the qth gas turbine unit; and lambda (-) is a dual variable corresponding to the constraint condition.
6. The method for the day-ahead economic dispatch of the park integrated energy system considering the wind and light uncertainty as claimed in claim 1, wherein the abstract expression of the two-stage adjustable robust optimization model of the day-ahead economic dispatch of the park integrated energy system in the step 5 is as follows:
Figure RE-FDA0002981991790000081
s.t.Ax+By≤b
Figure RE-FDA0002981991790000082
in the formula: x represents the starting and stopping states of units related to the CHP and the gas turbine, y and z represent the basic scene and the scheduling output of other units of the system adjusted according to the wind-light output transformation, u is an uncertain variable related to the uncertainty of the wind power output and the photovoltaic output, and cb、cgA, B, B, F, h, C, D, E, F, G can be derived from the objective function and constraint conditions in 5.
7. The method for day-ahead economic dispatch of the park integrated energy system taking into account wind and light uncertainty as defined in claim 1, wherein the worst scenario identified maximum and minimum subproblems of step 6 are as follows:
△D=△D1+△D2
Figure RE-FDA0002981991790000083
Figure RE-FDA0002981991790000091
Figure RE-FDA0002981991790000101
in the formula: t is scheduling time;
8. the method for the day-ahead economic dispatch of the campus integrated energy systems considering wind and photovoltaic uncertainty as claimed in claim 1, wherein the step 7 of solving the two-stage adjustable robust model considering the joint thermal power demand response by using the CCG method is as follows:
(1) major problems
Figure RE-FDA0002981991790000102
Ax+By≤b
(2) Sub-problems
Figure RE-FDA0002981991790000103
Figure RE-FDA0002981991790000104
(3) CCG solving step
Step 1: setting the iteration counter s to 0 and setting the maximum allowed value epsilon of the system for violating the safety regulationsRO
Step 2: solving the main problem, if the main problem is solved, obtaining a system unit start-stop state x and a unit output arrangement y, and performing the step 3; otherwise, stopping iteration and outputting no solution.
And step 3: and (3) solving the maximum and minimum subproblems according to the x and y obtained by the solution in the step (2), and finding out the wind power and photovoltaic output under the worst scene which causes the maximum possibility of violating the safety specified value.
And 4, step 4: if the maximum possible violation safety-specifying value solved in step 3 is less than epsilonROThen x and y are the final optimization solution and the iteration is stopped; otherwise, let s be s +1, and according to the wind power and photovoltaic output value under the worst scene solved in step 3
Figure RE-FDA0002981991790000111
Figure RE-FDA0002981991790000112
The CCG constraint shown below is added to the main question, returning to step 2.
fTvs≤εRO
Figure RE-FDA0002981991790000113
9. The optimal operation method for the distribution network of the integrated gas-electricity energy system considering the gas-electricity combined demand response of claim 1, wherein the data of the park integrated energy system in step 8 further comprises specific composition of the park integrated energy system, energy price, equipment parameters and values of each energy conversion equipment, demand response proportion, new energy output fluctuation situation under basic scene and worst scene, maximum violation of safety regulation value and predicted value of new energy output and load.
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CN113705991B (en) * 2021-08-17 2023-08-29 国网四川省电力公司技能培训中心 Establishment and low-carbon scheduling method for multi-energy park
CN114219221A (en) * 2021-11-19 2022-03-22 贵州电网有限责任公司 Comprehensive energy system day-ahead economic coordination and scheduling method considering multiple uncertainties
CN114519449A (en) * 2021-12-01 2022-05-20 中国华能集团有限公司河北雄安分公司 Operation optimization method for park energy system
CN114784797A (en) * 2022-04-25 2022-07-22 东南大学溧阳研究院 Thermoelectric optimization day-ahead scheduling method for residential comprehensive energy system considering multiple uncertainties
CN114784797B (en) * 2022-04-25 2024-01-19 东南大学溧阳研究院 Thermoelectric optimization day-ahead dispatching method for residence comprehensive energy system considering multiple uncertainties
CN114912714A (en) * 2022-06-17 2022-08-16 国网江苏省电力有限公司苏州供电分公司 Low-carbon economic dispatching method and system considering wind-light output uncertainty under lightning climate
CN114912714B (en) * 2022-06-17 2023-11-07 国网江苏省电力有限公司苏州供电分公司 Low-carbon economic dispatching method and system considering wind-light output uncertainty under lightning climate
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