Summary of the invention
It is an object of that present invention to provide a kind of electrical integrated energy system dispatching method based on information gap decision theory,
This method has the characteristics that easy, Consideration comprehensively and practicability is high.To achieve the above object, the present invention be by with
What lower technical solution was realized, content includes the following steps:
Step 1 establishes information gap decision theory (IGDT) model;
Step 2 establishes the Optimum Economic benefit moving model after wind-powered electricity generation-pump-storage generator joint;
Step 3, according to the Optimum Economic benefit after information gap decision-theoretic model and wind-powered electricity generation-pump-storage generator joint
Moving model considers that wind power output is uncertain, establishes the wind based on information gap decision theory and stores Unit erriger scheduling model,
Detailed process is as follows:
Firstly, establishing the uncertain collection model of wind power output:
In formula: Pw(t, k) is output of wind electric field predicted value;For output of wind electric field actual value;αwTo fluctuate width
Degree, value are directly related with prediction error.
When not considering uncertainty, i.e. αwWhen=0, it is deterministic type scheduling model that above-mentioned wind, which stores Unit erriger scheduling model,
Economic benefit at this time, referred to as basic benefit can be calculated, F is denoted as0。
Then, it according to the uncertain collection model of wind power output, establishes the wind based on information gap decision theory and stores Unit erriger
Scheduling model is specifically expressed as follows:
Establish the IGDT scheduling robust Model under Risk Avoiding Strategy:
Objective function are as follows: max αw;
Constraint condition are as follows:And the step
Institute's Prescribed Properties of Optimum Economic benefit moving model in 2 after wind-powered electricity generation-pump-storage generator joint.
Wherein, F0For basic benefit;αwFor fluctuating range;F is wind-powered electricity generation online economic benefit;For robust Model economy
Benefit straggling parameter;For output of wind electric field actual value;U(αw, Pw(t, k) is the uncertain collection of wind power output;
Establish the IGDT scheduling opportunity model that chance is sought under strategy:
Objective function are as follows: min αw;
Constraint condition are as follows:And the step
Institute's Prescribed Properties of Optimum Economic benefit moving model in 2 after wind-powered electricity generation-pump-storage generator joint.
Wherein, αwFor fluctuating range;For opportunity model economic benefit straggling parameter;For output of wind electric field
Actual value;U(αw, Pw(t, k) is the uncertain collection of wind power output;
Step 4 establishes the electrical integrated energy system scheduling model of deterministic type;
Step 5, according to information gap decision-theoretic model and the electrical integrated energy system scheduling model of deterministic type, consider negative
The uncertainty of lotus establishes the electrical integrated energy system scheduling model based on information gap decision theory, and detailed process is as follows:
Firstly, establishing the uncertain collection model of workload demand:
In formula: U (αL, PL, t) it is the uncertain collection of workload demand;PL, tFor the predicted value of load;For the actual value of load;
αLFor fluctuating range, value is directly related with prediction error.
When not considering uncertainty, i.e. αL, when=0, above-mentioned electrical integrated energy system scheduling model is deterministic type scheduling
Model can calculate scheduling cost at this time, referred to as basic cost, be denoted as C0。
Then, according to the uncertain collection model of workload demand, the electrical comprehensive energy based on information gap decision theory is established
System call model, specific as follows:
Establish the IGDT scheduling robust Model under Risk Avoiding Strategy:
Objective function are as follows: max αL;
Constraint condition are as follows:And it is determined in the step 4
Institute's Prescribed Properties of the electrical integrated energy system scheduling model of type.
Wherein, αLFor fluctuating range, C is the total operating cost of electrical integrated energy system,It is scheduled to for robust Model
This straggling parameter;
Establish the IGDT scheduling opportunity model that chance is sought under strategy:
Objective function are as follows: min αL;
Constraint condition are as follows:And it is determined in the step 4
Institute's Prescribed Properties of the electrical integrated energy system scheduling model of type.
Wherein,Cost straggling parameter is dispatched for opportunity model;
Step 6 is solved in conjunction with model of the bacterial community chemotaxis algorithm to the step 3 and step 5, is obtained related
Parameter, the parameter specifically include: the wind based on information gap decision theory stores two kinds of models of Unit erriger scheduling model
Wind power output does not know radius αw, economic benefit F and wind store Unit erriger and contribute situation, the electricity based on information gap decision theory
The load of two kinds of models of gas integrated energy system scheduling model does not know radius αL, cost C and generating set contribute situation;
The parameter that the step 6 solution obtains is sent to energy scheduling center, energy scheduling Central Radical by step 7
Energy resource system is scheduled according to the parameter.
Preferably, in the step 1, information gap decision-theoretic model is established, detailed process is as follows:
IGDT is a kind of Mathematics Optimization Method for the model containing uncertain parameter, and the model optimized using IGDT is as follows:
In formula: X is uncertain parameter;D is decision variable;B (X, d) is objective function;H (X, d), G (X, d) be equation and
Inequality constraints.
Uncertain parameter X can be described as follows around the fluctuation of predicted value X:
In formula:Indicate the predicted value of uncertain parameter, α indicates the fluctuating range of uncertain parameter, α >=0;
Indicate that the range of uncertain parameter X deviation predicted value is no more than
In uncertain environment, conservative policymaker, usually will not be really in order to guarantee the realization of a certain lowest desired target
The unfavorable disturbance for determining parameter maximizes, and the policymaker to advance rashly is more to pursue uncertain possible extra returns.
The robust Model of IGDT is expressed as follows:
The opportunity model of IGDT is expressed as follows:
In formula: BoIt is taken for XThe target function value of up-to-date style (1);BcFor the expected cost of robust Model;BjFor opportunity model
Expected cost;βcFor the deviation factors of robust Model, expected cost is represented higher than BoExtent of deviation;βjFor opportunity model
Deviation factors represent expected cost lower than BoExtent of deviation;
For the function that given d, maxB (X, d) and minB (X, d) are about X, if the two can be obvious with the variation of X
Property it is determining, then they embody form and can intuitively be indicated.
Formula (3) is robust Model (robustness model, RM), it indicates d pairs of decision value acquired under the model
In Arbitrary PerturbationExpected cost can be guaranteed not higher than Bc。
Formula (4) is opportunity model (opportuneness model, OM), it indicates the decision for acquiring under the model
Value d at least has oneSo that expected cost is not higher than Bo。
Preferably, the Optimum Economic benefit operation mould in the step 2, after establishing wind-powered electricity generation-pump-storage generator joint
Type, detailed process is as follows:
Wind-powered electricity generation-water-storage Unit erriger Optimum Economic benefit objective function are as follows:
maxF (8)
In formula: F is wind-powered electricity generation online economic benefit;Pws(t, k) is that t hours kth time period wind stores the grid-connected power of Unit erriger;
Pp(t, k) is draw water power of the pump-storage generator in t hours kth time periods;C (t, k) is the online of t hours kth time periods
Electricity price;Ci(t, k) is the electricity price of drawing water of t hours kth time periods;T is a cycle i.e. 24 hour;Number of segment when K is interior per hour
That is 4 periods.
The constraint condition of wind storage Unit erriger Optimum Economic benefit:
(1) equality constraint:
Xt+Yt=1 (13)
Pws(t, k)=Pws(t, k+1) (15)
In formula:Respectively wind stores Unit erriger kth under the state of drawing water and generating state, when k takes 1,2,3,4
The grid-connected power of section;XtExpression unit was generating state, X at t hours when=1tUnit was the shape that draws water at t hours when=0
State;YtExpression unit was generating state, Y at t hours when=0tUnit was state of drawing water at t hours when=1;Pw(t, k) is
T hours kth time period Wind turbines prediction powers;Pw.tFor the total prediction power of t hours Wind turbines;Pg(t, k) is to draw water
Generated output of the accumulation of energy unit in t hours kth time periods;ηpFor the efficiency of drawing water of pump-storage generator;
Formula (15) indicates that wind stores Unit erriger and meets the grid-connected power relative smooth of joint that wind stores Unit erriger.
(2) inequality constraints condition:
1. the grid-connected power that wind stores Unit erriger constrains under the state of drawing water and generating state:
In formula:Indicate unit in t hours kth time period Wind turbines prediction power minimum values;
Indicate unit in t hours kth time period Wind turbines prediction power maximum values;Pmin(t, k), Pmax(t, k) is t hours kth
The minimum value and maximum value of the period wind storage grid-connected power of Unit erriger.
2. pump-storage generator power constraint under the state of drawing water and generating state:
0≤Pg(t, k)≤Pg.max(t, k) (18)
0≤Pp(t, k)≤Pp.max(t, k) (19)
In formula: Pp.max(t, k) and Pg.max(t, k) is respectively draw water power and the generated output upper limit.
3. under Power Market, for grid-connected wind-powered electricity generation-water-storage combining operation mode, in addition to reduce to being
Outside the influence of system, the gene-ration revenue problem for considering itself is also needed, influence of the wind-electricity integration to grid stability is considered, sets wind
Electricity-grid-connected the power constraint of water-storage Unit erriger:
Pmin(t, k)≤Pws(t, k)≤Pmax(t, k) (20)
In formula: Pmin(t, k), Pmax(t, k) be t hour kth time period wind store the minimum value of the grid-connected power of Unit erriger with
Maximum value.
4. wind storage Unit erriger draws water, power and Fa Shen power are constrained each other:
In formula: ηgFor the generating efficiency of pump-storage generator.
5. the grid-connected constraint of Wind turbines prediction power:
Pd.min(t, k)≤Pw(t, k)≤Pd.max(t, k) (22)
Work as XtPw(t, k) >=Pd.maxWhen (t, k), indicate are as follows:
XtPw(t, k)=Pd.max(t, k) (23)
In formula: Pd.min(t, k), Pd.max(t, k) is the minimum value and most of kth time period Wind turbines installed capacity in t hours
Big value.
6. pump-storage generator start-stop time constrains:
Research of the invention is average using the hour prediction power of wind-powered electricity generation prediction power and a cycle in a certain hour
The comparison of value determines the start-stop time of pump-storage generator, i.e., start-stop time draws water/generating state with pump-storage generator
Variation and change, the start-stop time of pump-storage generator is constrained, is indicated are as follows:
In formula: M is the start-stop time of pump-storage generator;For the number for the state of drawing water;For of generating state
Number.
Preferably, in the step 4, the electrical integrated energy system scheduling model of deterministic type is established, was implemented
Journey is as follows:
1) objective function:
Target is that the total operating cost C of electrical integrated energy system is minimum, including fired power generating unit cost of electricity-generating, wind store joint
Unit runs cost of electricity-generating and gas source power output cost.Therefore, objective function is shown below:
In formula: t is scheduling slot;T is to dispatch total period;ΩGC、ΩNThe respectively set of coal unit, gas source;PGC, i, t
For i-th of coal unit the t period active power output;ai, bi, ciFor the cost of electricity-generating coefficient of i-th of coal unit;giIt is i-th
The natural gas purchase cost coefficient of a gas source;FN, i, tFor i-th of gas source the t period output gas flow amount;KcCombination machine is stored for wind
The cost of electricity-generating coefficient of group, PWs, tThe grid-connected power of Unit erriger is stored for t hours wind.
2) constraint condition:
The constraint condition of electrical integrated energy system Optimized Operation, comprising: electric power networks constraint, natural gas network constraint with
And the coupling constraint of the two network.
(1) electric power networks constrain:
Electric power networks constraint uses conventional constraint, including the constraint of power-balance constraint, balance nodes phase angle, generating set,
It include coal unit and Gas Generator Set units limits, node voltage constraint, line power constraint and generating set Climing constant,
Using Cartesian form, it is expressed as follows:
PG, i, t+PWs, t-PP2G, i, t-PL, i, t-PI, t=0 (29)
QG, i, t-QL,I, t-QI, t=0 (30)
tanθbal.t-fBal, t/eBal, t=0 (31)
PG, i, min≤PG, i, t≤PG, i, max (32)
QG, i, min≤QG, i, t≤QG, i, max (33)
V2 I, min≤eI, t 2+fI, t 2≤V2 I, max (34)
0≤PIj, t 2+QIj, t 2≤S2 Ij, max (35)
PG, i, t-PG, i, t-1≤RU, i (36)
PG, j, t-1-PG, i, t≤RD, i (37)
In formula: PI, t、QI, tThe respectively active and reactive power of t moment node i;PG, i, tFor having for t moment generating set i
Function power output;QG, i, tFor the idle power output of t moment generating set i;PL, i, tFor the burden with power of t moment node i;QL, i, tFor t moment
The load or burden without work of node i;PP2G, i, tElectricity turns the active power output of device of air i when for t;θBal, tFor t moment balance nodes voltage phase angle;
eBal, t、fBal, tThe respectively real and imaginary parts of t moment balance nodes voltage;PG, i, max、PG, i, minAnd QG, i, max、QG, i, minRespectively
For the active power output bound and idle power output bound of generating set i;eI, t、fI, tThe respectively real part of t moment node i voltage
And imaginary part;VI, max、VI, minRespectively node i voltage magnitude bound;PIj, t、QIj, tRespectively active, the nothing of t moment route ij
Function power;SIj, maxFor the upper limit of route ij apparent energy;RU, i、RD, iThe upper limit that respectively generating set i climbs above and below.
(2) natural gas network constraint:
Natural gas network, which specifically includes that, provides the gas source point of natural gas, by the pipeline and use of natural gas transportation to load side
The pressurizing point of the pressure loss in supplement energy transport.The multi-period dynamic process of present invention research, it is also necessary to which consideration has
The air accumulator and pipe of store function deposit (linepack).
1. gas source point:
Gas source point injects natural gas to natural gas network, and the bound constraint representation of each gas source point supply flow is as follows:
QN, j,min≤QN, j, t≤QN, j, max (38)
In formula: QN, j, tFor the natural gas supply flow of t moment gas source point j;QN, j, max、QN, j, minRespectively gas source point j's
Natural gas supply flow upper and lower limit.
2. pipeline:
Natural gas line flow equation is related with pipe ends pressure and many physical characteristics of pipeline, has no general shape
Formula, the gas flow under particular condition are usually described with nonlinear equation.Gas pipeline is insulated for ideal, considers that natural gas is double
To flowing,
Its flow equation may be expressed as:
In formula:Indicate that t moment flows through the average flow rate of pipeline ij, wherein Qin Ij, t、Qout Ij, t
Respectively the head end natural gas filling inbound traffics of t moment pipeline ij and end natural gas output flow;CijFor with pipeline ij efficiency, temperature
The related constant such as degree, length, internal diameter, compressibility factor;pI, t、pJ, tRespectively t moment first and last node i, the pressure value of j.
Natural gas line flow equation (39) is only applicable to the network of high pressure turbulent flow, and node pressure value has bound constraint,
It is expressed as follows:
pJ, min≤pJ, t≤pJ, max (40)
P in formulaJ, min、pJ, maxRespectively node j pressure value upper and lower limit.
3. pipe is deposited:
Due to the compressibility of natural gas, pipeline head end natural gas filling inbound traffics often with end natural gas output flow not
Together, the gas discharge of first and last end difference just briefly stores in the duct, and referred to as pipe is deposited.Guan Cunke buffers natural gas network
The fluctuation of gas load is the key factor for guaranteeing natural gas and reliably supplying.The average pressure and pipeline of Guan Cunyu pipe ends are joined
Number is directly proportional, considers multi-period dynamic process, may be expressed as:
In formula: LIn, tPipe for t moment pipeline ij is deposited;MijFor with pipeline ij length, radius, temperature and gas density, pressure
The related constant such as the contracting factor;Indicate the average pressure of t moment pipeline ij.
4. air accumulator:
Load is reliably supplied in the storage of natural gas in natural gas network and network security stable operation is most important.?
When biggish fluctuation occurs for natural gas network failure or gas load, it is natural that air accumulator can replace gas source point to provide to network
Gas ensures that natural gas load is in liberal supply.Natural gas network air accumulator is limited in storage capacity and natural gas injection, output
The limitation of flow, considers multi-period dynamic process, and constraint may be expressed as:
In formula: SS, j, tFor the memory capacity of t moment air accumulator j;The respectively natural gas of t moment air accumulator j
Inject flow and output flow;SS, j, max、SS, j, minThe respectively upper and lower limit of air accumulator j memory capacity;
The respectively upper limit of air accumulator j natural gas filling inbound traffics and output flow.
5. compressor:
The pressure loss of the natural gas network as caused by frictional resistance, natural gas for reliable transmission natural gas and compensation
A certain number of pressurizing points are needed to configure in network.The most important part of pressurizing point is the compressor for increasing gas pressure.It is false
If the energy of compressor consumption derives from the natural gas by compressor, the load of natural gas network can be regarded as.Compressor
The gas discharge of consumption is related with the flow and compression ratio that flow through compressor, can be expressed as follows:
In formula: QCom, k, tFor the gas discharge of t moment compressor k consumption;HCom, k, tFor the energy of t moment compressor k consumption
Amount;βkFor the energy conversion factor of compressor k;BkFor constant related with compressor k efficiency, temperature, heating value of natural gas;
fCom, k, tThe gas discharge of compressor k is flowed through for t moment;ZkIt is related with compressor k compressibility factor and heating value of natural gas normal
Number;RK, max、RK, minThe respectively upper and lower limit of compressor k compression ratio.
6. flow equilibrium:
Similar to the node power balance in electric power networks, each section in natural gas network can be obtained according to flow conservation law
The flux balance equations of point indicate are as follows:
In formula: i ∈ j indicates all nodes being connected with node j;QP2G, j, tFor t moment electricity turn gas j be converted to it is natural
Throughput;QGT, j, tFor the gas discharge of t moment gas turbine j consumption;QCom, j, tFor the natural gas of t moment compressor j consumption
Flow;QL, j, tFor the natural gas load of t moment node j.
(3) coupling constraint of electric system and natural gas system:
Electrical integrated energy system is coupled to form by electric power networks and natural gas network, and meter of the present invention and electricity turn gas and combustion
Two kinds of coupled modes of gas-turbine.The present invention turns the energy conversion efficiency and heating value of natural gas of gas and gas turbine by electricity, establishes
Its linear model:
1. electricity turns gas:
In formula:Turn the transfer efficiency of gas j for electricity;HgFor heating value of natural gas, 39MJ/m is taken3。
2. gas turbine:
In formula:For the transfer efficiency of gas turbine j.
Preferably, in the step 6, solution procedure is carried out to the step 3 using bacterial community chemotaxis algorithm are as follows:
(1) when not considering uncertainty, i.e. αwWhen=0, with predicted value Pw(t, k) replaces uncertain parameterIt is excellent
Change and solve deterministic models, i.e. formula (5)-(24), obtains objective function optimal value F0, it is set to a reference value;
(2) cost deviation factors are setDetermine two kinds of model expectation target valuesWith
(3) robust Model and opportunity model are calculated separately using bacterial community chemotaxis algorithm, obtains the wind of two kinds of models
Electricity, which is contributed, does not know radius αw, economic benefit F and wind store the parameter of Unit erriger power output situation.
Preferably, it in the step 6, is solved using model of the bacterial community chemotaxis algorithm to the step 5
Step are as follows:
(1) when not considering uncertainty, i.e. αLWhen=0, with predicted value PL, tInstead of uncertain parameterOptimization Solution is true
Qualitative model, i.e. formula (28)-(50) obtain objective function optimal value C0, it is set to a reference value;
(2) cost deviation factors are setDetermine the acceptable two kinds of models expectation target value of policymakerWith
(3) robust Model and opportunity model are calculated separately using bacterial community chemotaxis algorithm, obtains the negative of two kinds of models
Lotus does not know radius αL, cost C and generating set power output situation parameter.
Due to the adoption of the above technical scheme, compared with prior art, it has the advantages that
Scheduling strategy proposed by the present invention is more simple and convenient compared with prior art, practicability is high, and can be more effective
Ground reduces intermittence and fluctuation, the raising wind electricity digestion amount and the electrical integrated energy system economic benefit of increase of wind-powered electricity generation, and
IGDT scheduling model can preferably describe uncertain information, while can provide for the policymaker of different risk partialities different
Scheduling strategy, the problem of overcoming computationally intensive and conservative decision, provide new approaches for processing uncertain factor.This hair
The use bacterial community chemotaxis algorithm of bright proposition keeps solution procedure low optimization accuracy high and fast convergence rate model solution.
Specific embodiment
The method of the present invention is in the case where considering that there are the new energy such as randomness, intermittent wind-powered electricity generation to access grid condition on a large scale
A kind of electrical integrated energy system dispatching method based on information gap decision theory of proposition, method content include following step
It is rapid:
Step 1 establishes information gap decision theory (IGDT) model;
Step 2 establishes the Optimum Economic benefit moving model after wind-powered electricity generation-pump-storage generator joint;
Step 3, according to the Optimum Economic benefit after information gap decision-theoretic model and wind-powered electricity generation-pump-storage generator joint
Moving model considers that wind power output is uncertain, establishes the wind based on information gap decision theory and stores Unit erriger scheduling model;
Step 4 establishes the electrical integrated energy system scheduling model of deterministic type;
Step 5, according to information gap decision-theoretic model and the electrical integrated energy system scheduling model of deterministic type, consider negative
The uncertainty of lotus establishes the electrical integrated energy system scheduling model based on information gap decision theory;
Step 6 is solved in conjunction with model of the bacterial community chemotaxis algorithm to step 3 and step 5;
Step 6 is solved the uncertain radius for obtaining two kinds of scheduling models, cost and generating set power output situation by step 7,
Scheduling decision person sends uncertain radius, cost and generating set power output situation to energy scheduling center, energy according to regulation goal
Energy resource system is adjusted according to actual schedule target and uncertain radius, cost and generating set power output situation source control centre
Degree, so that energy scheduling result meets regulation goal.
Below with reference to Fig. 1 and Fig. 2, the electrical comprehensive energy system based on information gap decision theory that the present invention will be described in detail
System dispatching method, specific step is as follows by the present invention:
Step 1, information gap decision theory (IGDT) model is established;
IGDT is a kind of Mathematics Optimization Method for the model containing uncertain parameter, and effect is to meet goal-selling
Under the premise of, studying possibility caused by uncertain parameter influences.According to the quality of goal-selling, influence can be divided into passive and product
The aspect of pole two, corresponding model are known as robust (that is: risk avertion) model and chance (that is: risk is speculated) model.They divide
Do not corresponded to two kinds of value orientation completely contradicted that policymaker is taken when in face of risk: robust Model thinks uncertain ginseng
Several presence will it is expected to have a negative impact to target;Opportunity model then thinks that uncertain parameter will be sent out towards advantageous direction
Exhibition, and then facilitate the realization of target.
The model optimized using IGDT is as follows:
In formula: X is uncertain parameter;D is decision variable;B (X, d) is objective function;H (X, d), G (X, d) be equation and
Inequality constraints.
In IGDT theory, uncertain parameter X can be described as follows around the fluctuation of predicted value X:
In formula:Indicate the predicted value of uncertain parameter, α indicates the fluctuating range of uncertain parameter, α >=0;
Indicate that the range of uncertain parameter X deviation predicted value is no more than
In uncertain environment, conservative policymaker, usually will not be really in order to guarantee the realization of a certain lowest desired target
The unfavorable disturbance for determining parameter maximizes, and the policymaker to advance rashly is more to pursue uncertain possible extra returns.
The robust Model of IGDT is expressed as follows:
The opportunity model of IGDT is expressed as follows:
In formula: BoIt is taken for XThe target function value of up-to-date style (1);BcFor the expected cost of robust Model;BjFor opportunity model
Expected cost;βcFor the deviation factors of robust Model, expected cost is represented higher than BoExtent of deviation;βjFor opportunity model
Deviation factors represent expected cost lower than BoExtent of deviation;
For the function that given d, maxB (X, d) and minB (X, d) are about X, if the two can be dominant with the variation of X
Ground determines, then they embody form and can intuitively be indicated.
Formula (3) is robust Model (robustness model, RM), it indicates d pairs of decision value acquired under the model
In Arbitrary PerturbationExpected cost can be guaranteed not higher than Bc。
Formula (4) is opportunity model (opportuneness model, OM), it indicates the decision for acquiring under the model
Value d at least has oneSo that expected cost is not higher than Bo。
Step 2, the Optimum Economic benefit moving model after establishing wind-powered electricity generation-pump-storage generator joint;
(2-1) wind power generating set predicts force modeling:
Wind speed is the stochastic variable of Follow Weibull Distribution, and the power characteristic of Wind turbines is generally manufactured by blower
Quotient provides, and can also be obtained by actual measurement.In calculating, the generated output P of separate unit wind turbineIFIt approximate can use and divide with wind speed relationship v
Section function representation are as follows:
In formula: vr, PWrRespectively indicate rated wind speed, the rated power for being blower in t hours kth time periods;vinFor incision
Wind speed;voutFor cut-out wind speed.
Total generated output P of Wind turbinesw(t, k) is indicated are as follows:
Pw(t, k)=efNw(t, k) PIF(t, k) (6)
0≤PIF(t, k)≤PWR(t, k) (7)
In formula: PIF(t, k), Pw(t, k) is respectively t hours kth time period separate unit blowers and total Wind turbines power generation function
Rate (MW);E, f are respectively the transmission efficiency and generating efficiency (%) of blower;NW(t, k) is in t hours kth time period wind power plants
The blower number of units of normal operation;PWR(t, k) is the rated power (MW) of t hours kth time period separate unit blowers.
The coordination mode of (2-2) Wind turbines and pump-storage generator:
The present invention establishes wind and stores Unit erriger after coordinating Wind turbines and pump-storage generator, it is specific that wind stores Unit erriger
Coordination mode is as follows: Optimum Economic benefit moving model after wind-powered electricity generation-pump-storage generator joint was prediction with 24 hours one day
Period divides four periods again per hour, totally 96 coordination periods, and sets interior wind-powered electricity generation prediction power when a certain small and be more than or equal to
When wind-powered electricity generation prediction power average value, then the hour is defined as the state of drawing water, and four periods under this state are water-storage machine
Drawing water for group or was drawn water for zero period at the period, and the zero period unit that draws water still works, but the power that draws water is zero.Interior wind-powered electricity generation when a certain small
When prediction power is less than wind-powered electricity generation prediction power average value, then the hour is defined as generating state, when under this state four
Section is the power generation period or zero period of power generation of pump-storage generator, and zero period unit of power generation still works, but generated output is zero, should
The power generation of state apparatus for lower wind is less, releases water from reservoir generate electricity at this time.
(2-3) wind-powered electricity generation-water-storage Unit erriger Optimum Economic benefit objective function:
After Wind turbines and pump-storage generator joint, wind storage Unit erriger is regarded as an entirety, i.e. water-storage
The power that draws water of unit is only provided by Wind turbines, using performance number and corresponding unit quantity at product come the wind in expression system
The online economy and pump-storage generator of electric field are drawn water cost.Unit erriger online power and water-storage machine are stored by optimization wind
/ the generated output that draws water of group farthest utilizes wind energy.
The mathematical model that wind stores the scheduling of Unit erriger Optimum Economic benefit is as follows:
maxF (8)
In formula: F is wind-powered electricity generation online economic benefit;Pws(t, k) is that t hours kth time period wind stores the grid-connected power of Unit erriger;
Pp(t, k) is draw water power of the pump-storage generator in t hours kth time periods;C (t, k) is the online of t hours kth time periods
Electricity price;Ci(t, k) is the electricity price of drawing water of t hours kth time periods;T is a cycle i.e. 24 hour;Number of segment when K is interior per hour
That is 4 periods.
The constraint condition of (2-4) wind storage Unit erriger Optimum Economic benefit:
(2.4.1) equality constraint:
Xt+Yt=1 (13)
Pws(t, k)=Pws(t, k+1) (15)
In formula: Pws(t, k) is that t hours kth time period wind stores the grid-connected power of Unit erriger;Pp(t, k) is water-storage machine
Draw water power of the group in t hours kth time periods;Respectively wind stores Unit erriger under the state of drawing water and generating state
The grid-connected power of kth (k takes 1,2,3,4) period;XtExpression unit was generating state, X at t hours when=1tUnit exists when=0
T hours are state of drawing water;YtExpression unit was generating state, Y at t hours when=0tUnit was pumping at t hours when=1
Water state;Pw(t, k) is t hours kth time period Wind turbines prediction powers;Pw.tFor the total pre- measurement of power of t hours Wind turbines
Rate;Pg(t, k) is generated output of the pump-storage generator in t hours kth time periods;ηpFor the efficiency of drawing water of pump-storage generator;
Formula (15) indicates that wind stores Unit erriger and meets the grid-connected power relative smooth of joint that wind stores Unit erriger.
(2.4.2) inequality constraints condition:
1. the grid-connected power that wind stores Unit erriger constrains under the state of drawing water and generating state:
In formula:Indicate unit in t hours kth time period Wind turbines prediction power minimum values;
Indicate unit in t hours kth time period Wind turbines prediction power maximum values;Pmin(t, k), Pmax(t, k) is t hours kth
The minimum value and maximum value of the period wind storage grid-connected power of Unit erriger.
2. pump-storage generator power constraint under the state of drawing water and generating state:
0≤Pg(t, k)≤Pg.max(t, k) (18)
0≤Pp(t, k)≤Pp.max(t, k) (19)
In formula: Pp.max(t, k) and Pg.max(t, k) is respectively draw water power and the generated output upper limit;Pp(t, k) is the storage that draws water
Draw water power of the energy unit in t hours kth time periods;Pg(t, k) is power generation of the pump-storage generator in t hours kth time periods
Power.
3. under Power Market, for grid-connected wind-powered electricity generation-water-storage combining operation mode, in addition to reduce to being
Outside the influence of system, the gene-ration revenue problem for considering itself is also needed, influence of the wind-electricity integration to grid stability is considered, sets wind
Electricity-grid-connected the power constraint of water-storage Unit erriger:
Pmin(t, k)≤Pws(t, k)≤Pmax(t, k) (20)
In formula: Pmin(t, k), Pmax(t, k) be t hour kth time period wind store the minimum value of the grid-connected power of Unit erriger with
Maximum value;Pws(t, k) is that t hours kth time period wind stores the grid-connected power of Unit erriger.
4. wind storage Unit erriger draws water, power and generated output are constrained each other:
In formula: ηgFor the generating efficiency of pump-storage generator.
5. the grid-connected constraint of Wind turbines prediction power:
Pd.min(t, k)≤Pw(t, k)≤Pd.max(t, k) (22)
Work as XtPw(t, k) >=Pd.maxWhen (t, k), it is expressed as,
XtPw(t, k)=Pd.max(t, k) (23)
In formula: Pd.min(t, k), Pd.max(t, k) is the minimum value and most of kth time period Wind turbines installed capacity in t hours
Big value;Pw(t, k) is t hours kth time period Wind turbines prediction powers.
6. pump-storage generator start-stop time constrains:
Research of the invention is average using the hour prediction power of wind-powered electricity generation prediction power and a cycle in a certain hour
The start-stop time of value compared to determine pump-storage generator.I.e. start-stop time draws water/generating state with pump-storage generator
Variation and change, the start-stop time of pump-storage generator is constrained, is indicated are as follows:
In formula: M is the start-stop time of pump-storage generator;For the number for the state of drawing water;For of generating state
Number.
Step 3, consider that wind power output is uncertain, establish the wind based on information gap decision theory and store Unit erriger scheduling
Model;
Under Uncertain environments, wind power output has serious uncertainty in practice.Using IGDT foundation meter and not
Deterministic scheduling model.
(3-1) uncertain collection model:
The uncertain collection model of wind power output is as follows:
In formula: Pw(t, k) is output of wind electric field predicted value;For output of wind electric field actual value;αwTo fluctuate width
Degree, value are directly related with prediction error.
When not considering uncertainty, i.e. αwWhen=0, it is deterministic type scheduling model that above-mentioned wind, which stores Unit erriger scheduling model,
Economic benefit at this time, referred to as basic benefit can be calculated, F is denoted as0。
(3-2) IGDT scheduling model:
Consider that uncertain is that the IGDT that the too conservative scheduling decision person of decision intention formulates under Risk Avoiding Strategy is dispatched
Model can seek the IGDT scheduling model under strategy for the partially congenial scheduling decision person making machine of decision intention.It is expected meeting
Corresponding uncertain, economic benefit and unit output plan are studied in the case of economic benefit deviation.In order to describe conveniently, this
Maximum uncertainty level and chance that Risk Avoiding Strategy acquires are sought the minimum uncertainty level that strategy acquires by invention
It is referred to as uncertainty.
3.2.1 Risk Avoiding Strategy:
The purpose of strategy is to seek corresponding uncertainty, value in the case where decision economic benefit is no more than desired value
Bigger, the ability avoided risk is bigger, but corresponding economic benefit is lower.Scheduling decision person is using less economic benefit as cost
The ability avoided risk is obtained, the robustness of IGDT is embodied.Robust Model economic benefit straggling parameter is arranged in the present invention
WithIndicate the expected cost of policymaker.Establish the IGDT scheduling robust Model under Risk Avoiding Strategy:
Wherein, αwFor fluctuating range;F is wind-powered electricity generation online economic benefit;For robust Model economic benefit straggling parameter;For output of wind electric field actual value;U(αw, Pw(t, k) is the uncertain collection of wind power output;F0For basic benefit.
3.2.2 chance seeks strategy:
Chance seeks strategy and seeks the minimum uncertainty for enabling economic benefit increased, and value is bigger, the wind faced
Danger is bigger, and corresponding economic benefit is bigger.Scheduling decision person seeks to increase the chance of economic benefit in bigger risk, embodies
The opportunistic of IGDT.Similarly, opportunity model economic benefit straggling parameter is arranged in the present inventionIt has a chance or opportunity and seeks under strategy
IGDT dispatches opportunity model, indicates are as follows:
Wherein, αwFor fluctuating range;F is wind-powered electricity generation online economic benefit;For opportunity model economic benefit straggling parameter;For output of wind electric field actual value;U(αw, Pw(t, k) is the uncertain collection of wind power output;F0For basic benefit.
Step 4, the electrical integrated energy system scheduling model of deterministic type is established;
Electric energy system includes electric system side and natural gas system side, and is with gas turbine unit and P2G device
Coupling element forms the closure type of flow of the two-way conversion of electric energy.
(4-1) objective function:
Target is that the total operating cost C of electrical integrated energy system is minimum, including fired power generating unit cost of electricity-generating, wind store joint
Unit runs cost of electricity-generating and gas source power output cost.Therefore, objective function is shown below:
In formula: C is the total operating cost of electrical integrated energy system;T is scheduling slot;T is to dispatch total period;ΩGC、
ΩNThe respectively set of coal unit, gas source;PGC, i, tFor i-th of coal unit the t period active power output;ai, bi, ciFor
The cost of electricity-generating coefficient of i-th of coal unit;giFor the natural gas purchase cost coefficient of i-th of gas source;FN, i, tFor i-th of gas source
In the output gas flow amount of t period;KcThe cost of electricity-generating coefficient of Unit erriger, P are stored for windWs, tUnit erriger is stored simultaneously for t hours wind
Net power.
(4-2) constraint condition:
The constraint condition of electrical integrated energy system Optimized Operation include electric power networks constraint, natural gas network constraint and
The coupling constraint of the two network.
The constraint of (4.2.1) electric power networks:
Electric power networks constraint uses conventional constraint, including power-balance constraint, balance nodes phase angle constrain, generating set is
Coal unit and Gas Generator Set units limits, node voltage constraint, line power constraint and generating set Climing constant, using straight
Angular coordinate form, is expressed as follows:
PG, i, t+PWs, t-PP2G, i, t-PL, i, t-PI, t=0 (29)
QG, i, t-QL, i, t-QI, t=0 (30)
tanθBal, t-fBal, t/eBal, t=0 (31)
PG, i, min≤PG, i, t≤PG, i, max (32)
QG, i, min≤QG, i, t≤QG, i, max (33)
V2 I, min≤eI, t 2+fI, t 2≤V2 I, max (34)
0≤PIj, t 2+QIj, t 2≤S2 Ij, max (35)
PG, i, t-PG, i, t-1≤RU, i (36)
PG, i, t-1-PG, i, t≤RD, i (37)
In formula: PI, t、QI, tThe respectively active and reactive power of t moment node i;PG, i, tFor having for t moment generating set i
Function power output;PG, i, t-1For the active power output of t-1 moment generating set i;QG, i, tFor the idle power output of t moment generating set i;PL, i, t
For the burden with power of t moment node i;QL, i, tFor the load or burden without work of t moment node i;PP2G, i, tElectricity turns having for device of air i when for t
Function power output;θBal, tFor t moment balance nodes voltage phase angle;eBal, t、fBal, tRespectively the real part of t moment balance nodes voltage and
Imaginary part;PG, i, max、PG, i, minAnd QG, i, max、QG, i, minRespectively above and below the active power output bound of generating set i and idle power output
Limit;eI, t、fI, tThe respectively real and imaginary parts of t moment node i voltage;VI, max、VI, minRespectively above and below node i voltage magnitude
Limit;PIj, t、QIj, tThe respectively active and reactive power of t moment route ij;SIj, maxFor the upper limit of route ij apparent energy;RU, i、
RD, iThe upper limit that respectively generating set i climbs above and below.
(4.2.2) natural gas network constraint:
Natural gas network mainly includes providing the gas source point of natural gas, by the pipeline of natural gas transportation to load side and is used for
Supplement the pressurizing point of the pressure loss in energy transport.The multi-period dynamic process of present invention research, it is also necessary to which consideration, which has, deposits
The air accumulator and pipe for storing up function deposit (linepack).
1. gas source point:
Gas source point injects natural gas to natural gas network, and the bound constraint representation of each gas source point supply flow is as follows:
QN, j, min≤QN, j, t≤QN, j, max (38)
In formula: QN, j, tFor the natural gas supply flow of t moment gas source point j;QN, j, max、QN, j, minRespectively gas source point j's
Natural gas supply flow upper and lower limit.
2. pipeline:
Natural gas line flow equation is related with pipe ends pressure and many physical characteristics of pipeline, has no general shape
Formula, the gas flow under particular condition are usually described with nonlinear equation.Gas pipeline is insulated for ideal, considers that natural gas is double
To flowing,
Its flow equation may be expressed as:
In formula:Indicate that t moment flows through the average flow rate of pipeline ij, wherein Qin Ij, t、Qout Ij, t
Respectively the head end natural gas filling inbound traffics of t moment pipeline ij and end natural gas output flow;CijFor constant, CijSpecific number
It is worth related with pipeline ij efficiency, temperature, length, internal diameter, compressibility factor etc.;pI, t、pJ, tRespectively t moment first and last node i, j
Pressure value.
Natural gas line flow equation (39) is only applicable to the network of high pressure turbulent flow, and node pressure value has bound constraint,
It is expressed as follows:
pJ, min≤pJ, t≤pJ, max (40)
P in formulaJ, min、pJ, maxRespectively node j pressure value upper and lower limit.
3. pipe is deposited:
Due to the compressibility of natural gas, pipeline head end natural gas filling inbound traffics often with end natural gas output flow not
Together, the gas discharge of first and last end difference just briefly stores in the duct, and referred to as pipe is deposited.Guan Cunke buffers natural gas network
The fluctuation of gas load is the key factor for guaranteeing natural gas and reliably supplying.The average pressure and pipeline of Guan Cunyu pipe ends are joined
Number is directly proportional, considers multi-period dynamic process, may be expressed as:
In formula: LIj, tPipe for t moment pipeline ij is deposited;LIj, t-1Pipe for t-1 moment pipeline ij is deposited;MijFor constant, MijTool
Body numerical value and pipeline ij length, radius, temperature and gas density, compressibility factor etc. are related;Indicate t
The average pressure of moment pipeline ij.
4. air accumulator:
Load is reliably supplied in the storage of natural gas in natural gas network and network security stable operation is most important.?
When biggish fluctuation occurs for natural gas network failure or gas load, it is natural that air accumulator can replace gas source point to provide to network
Gas ensures that natural gas load is in liberal supply.Natural gas network air accumulator is limited in storage capacity and natural gas injection, output
The limitation of flow, considers multi-period dynamic process, and constraint may be expressed as:
In formula: SS, j, tFor the memory capacity of t moment air accumulator j;SS, j, t-1For the memory capacity of t-1 moment air accumulator j;Respectively the natural gas filling inbound traffics of t moment air accumulator j and output flow;SS, j, max、SS, j, minRespectively gas storage
The upper and lower limit of tank j memory capacity;Respectively air accumulator j natural gas filling inbound traffics and output flow is upper
Limit.
5. compressor:
The pressure loss of the natural gas network as caused by frictional resistance, natural gas for reliable transmission natural gas and compensation
A certain number of pressurizing points are needed to configure in network.The most important part of pressurizing point is the compressor for increasing gas pressure.It is false
If the energy of compressor consumption derives from the natural gas by compressor, the load of natural gas network can be regarded as.Compressor
The gas discharge of consumption is related with the flow and compression ratio that flow through compressor, can be expressed as follows:
In formula: QCom, k, tFor the gas discharge of t moment compressor k consumption;HCom, k, tFor the energy of t moment compressor k consumption
Amount;βkFor the energy conversion factor of compressor k;BkFor constant related with compressor k efficiency, temperature, heating value of natural gas;
fCom, k, tThe gas discharge of compressor k is flowed through for t moment;ZkIt is related with compressor k compressibility factor and heating value of natural gas normal
Number;RK, max、RK, minThe respectively upper and lower limit of compressor k compression ratio;pI, t、pJ, tRespectively t moment first and last node i, the pressure of j
Value.
6. flow equilibrium:
Similar to the node power balance in electric power networks, each section in natural gas network can be obtained according to flow conservation law
The flux balance equations of point:
In formula: i ∈ j indicates all nodes being connected with node j;QN, j, tFor the natural gas supply stream of t moment gas source point j
Amount;QP2G, j, tTurn the gas discharge that gas j is converted to for t moment electricity;QGT, j, tFor the natural gas of t moment gas turbine j consumption
Flow;QCom, j, tFor the gas discharge of t moment compressor j consumption;QL, j, tFor the natural gas load of t moment node j;Qin Ij, t、
Qout Ij, tRespectively the head end natural gas filling inbound traffics of t moment pipeline ij and end natural gas output flow;Point
Not Wei t moment air accumulator j natural gas filling inbound traffics and output flow;
The coupling constraint of (4.2.3) electric system and natural gas system:
Electrical integrated energy system is coupled to form by electric power networks and natural gas network, and meter of the present invention and electricity turn gas and combustion
Two kinds of coupled modes of gas-turbine.The present invention turns the energy conversion efficiency and heating value of natural gas of gas and gas turbine by electricity, establishes
Its linear model, is embodied as:
1. electricity turns gas:
In formula: QP2G, j, tTurn the gas discharge that gas j is converted to for t moment electricity;Turn the conversion effect of gas j for electricity
Rate;PP2G, j, tElectricity turns the active power output of device of air j when for t;HgFor heating value of natural gas, 39MJ/m is taken3。
2. gas turbine:
In formula:For the transfer efficiency of gas turbine j;QGT, j, tFor the gas discharge of t moment gas turbine j consumption;
PGT, j, tFor the active power output of t moment gas turbine j.
Step 5, consider the uncertainty of load, establish the electrical integrated energy system tune based on information gap decision theory
Spend model;
In deterministic type scheduling model, it is believed that the prediction of workload demand is accurately that Generation Side and load side are according to prediction
Coordinated operation.But under new Uncertain environments, workload demand has serious uncertainty in practice.
(5-1) uncertain collection model:
The uncertain collection model of workload demand is as follows:
In formula: PL, tFor the predicted value of load;For the actual value of load;αLFor fluctuating range, value and prediction error
It is directly related.
When not considering uncertainty, i.e. αLWhen=0, step 4 scheduling model is deterministic type scheduling model, can be calculated at this time
Scheduling cost, referred to as basic cost is denoted as C0。
(5-2) IGDT scheduling model:
Consider that uncertain is that the IGDT that the too conservative scheduling decision person of decision intention formulates under Risk Avoiding Strategy is dispatched
Model can seek the IGDT scheduling model under strategy for the partially congenial scheduling decision person making machine of decision intention.It is expected meeting
Corresponding uncertain, scheduling cost and unit output plan are studied in the case of costvariation.
5.2.1 Risk Avoiding Strategy:
The purpose of strategy is to seek corresponding uncertainty in the case where cost of decision making is no more than desired value, and value is got over
Greatly, the ability avoided risk is bigger, but corresponding scheduling cost is bigger.Scheduling decision person is obtained using more dispatching cost as cost
The ability that must be avoided risk embodies the robustness of IGDT.Robust Model scheduling cost straggling parameter is arranged in the present inventionWithIndicate expected cost.Establish the IGDT scheduling robust Model under Risk Avoiding Strategy:
Wherein, αLFor fluctuating range, C is the total operating cost of electrical integrated energy system,It is scheduled to for robust Model
This straggling parameter;For the actual value of load;C0For basic cost.
5.2.2 chance seeks strategy:
Chance seeks strategy and seeks to make to be scheduled to the minimum uncertainty that instinct decreases, and value is bigger, the wind faced
Danger is bigger, and corresponding cost is smaller.Scheduling decision person seeks to reduce the chance of cost in bigger risk, embodies the machine of IGDT
Meeting property.Similarly, opportunity model scheduling cost straggling parameter is arranged in the present inventionHave a chance or opportunity the IGDT scheduling sought under strategy
Opportunity model:
Wherein, αLFor fluctuating range, C is the total operating cost of electrical integrated energy system,For opportunity model scheduling
Costvariation parameter;For the actual value of load;C0For basic cost.
Step 6, it is solved in conjunction with model of the bacterial community chemotaxis algorithm to step 3 and step 5, obtains related ginseng
Number;
6-1 bacterial community chemotaxis algorithm:
Bacterial community chemotaxis (bacterial colony chemotaxis, BCC) algorithm is the prior art, as one
Optimization method of the kind based on biobehavioral realizes that thought and other group's optimization methods have relatively big difference.It is excellent in other groups
In change, individual is detached from the search that completely random can only be carried out when surrounding group influence, and the single bacterium in BCC algorithm also has one
Fixed optimizing ability;The moving direction of each bacterium chemotactic and time be all according to probability distribution value, therefore BCC algorithm have it is prominent
Broken part is most worth the performance of limitation.
6-2 combines existing bacterial community chemotaxis algorithm to store Unit erriger scheduling model to the wind in step 3 based on IGDT
Solution procedure are as follows:
(6.2.1) uses predicted value Pw(t, k) replaces uncertain parameterOptimization Solution deterministic models, i.e. formula
(5)-(24) obtain objective function optimal value F0, it is set to a reference value;
(6.2.2) artificially formulates cost deviation factorsDetermine two kinds of model expectation target valuesWith
(6.2.3) calculates separately robust Model and opportunity model using bacterial community chemotaxis algorithm, obtains two kinds of models
Wind power output do not know radius αw, economic benefit F and wind store the parameter of Unit erriger power output situation.
6-3 combination bacterial community chemotaxis algorithm is to the electrical integrated energy system economic load dispatching in step 5 based on IGDT
Model solution step are as follows:
(6.3.1) uses predicted value PL, tInstead of uncertain parameterOptimization Solution deterministic models, i.e. formula (28)-(50),
Obtain objective function optimal value C0, it is set to a reference value;
(6.3.2) artificially formulates cost deviation factorsDetermine the acceptable two kinds of models expectation of policymaker
Target valueWith
(6.3.3) calculates separately robust Model and opportunity model using bacterial community chemotaxis algorithm, obtains two kinds of models
Load do not know radius αL, cost C and generating set power output situation parameter.
Step 7, step 6 is solved into obtained parameter and is sent to energy scheduling center, energy scheduling center is according to parameter pair
Energy resource system is scheduled.
(7-1) solves the wind based on information gap decision theory using bacterial community chemotaxis algorithm and stores Unit erriger scheduling
Model, the wind power output for obtaining robust Model and opportunity model respectively do not know radius αw, economic benefit F and wind store Unit erriger
Contribute PWs, t.Wind power output radius α is not known intow, economic benefit F and wind stores Unit erriger and contributes PWs, tIt is applied to electrical synthesis
In energy resource system scheduling system.
(7-2) solves the electrical integrated energy system based on information gap decision theory using bacterial community chemotaxis algorithm
Scheduling model, the load for respectively obtaining robust Model and opportunity model do not know radius αL, cost C and generating set power output
PG, i, t.Load radius α is not known intoL, cost C and generating set power output PG, i, tIt is also applied to electrical integrated energy system scheduling
In system.
Electrical integrated energy system control centre makes different scheduling strategies according to different risk partialities, guarantees electrical
Steady, the economic operation of integrated energy system.
Finally, it should be noted that above each embodiment is only used to illustrate the technical scheme of the present invention, rather than its limitations;
Although the present invention is described in detail referring to the foregoing embodiments, those skilled in the art should understand that: its according to
Can so modify to technical solution documented by previous embodiment, or part of or all technical features are carried out etc.
With replacement;And these modifications or substitutions, technical solution of various embodiments of the present invention that it does not separate the essence of the corresponding technical solution
Range.