CN104835080B - The modeling method of micro-capacitance sensor in a few days operation plan mixed-integer programming model - Google Patents
The modeling method of micro-capacitance sensor in a few days operation plan mixed-integer programming model Download PDFInfo
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Abstract
The invention discloses the modeling methods of micro-capacitance sensor in a few days operation plan mixed-integer programming model, include the following steps：1st, structure micro-capacitance sensor in a few days the object function 2 of operation plan mixed-integer programming model, build diesel oil synchronous generator active and reactive output linearisation constraint equation；3rd, the linearisation constraint equation of the active and reactive output through grid-connected inverters distributed generation resource is built；4th, the linearisation constraint equation of the active and reactive output of structure double-fed induction wind turbine；5th, structure considers the linearisation power flow equation of voltage magnitude；6th, structure tributary capacity linearisation constraint equation；7th, with reference to the existing linearisation constraint of micro-capacitance sensor, micro-capacitance sensor in a few days operation plan mixed-integer programming model is formed, solving software with mixed integer programming is solved.The modeling method of the present invention can effectively reduce the solving complexity of micro-capacitance sensor in a few days operation plan problem, have the characteristics that calculating speed is fast, solving precision is high and engineering has strong operability in fact.
Description
Technical field
The present invention relates to the modeling method of micro-capacitance sensor in a few days operation plan model, more particularly to a kind of micro-capacitance sensor is in a few days dispatched
Plan the modeling method of mixed-integer programming model.
Background technology
As the effective means for playing distributed power generation efficiency, micro-capacitance sensor technology becomes current intelligent grid theory and technology
The hot spot of research.Micro-grid operation mode is flexible, has grid-connected and two kinds of methods of operation of isolated island, and can realize two kinds as needed
The seamless switching of the method for operation.However, microgrid energy management has its complexity, not only need meeting workload demand and electricity
Can ensure micro-capacitance sensor economy, safe and stable operation under the premise of quality, also to coordinate different response speed power supplys output,
The uncertainty of wind-powered electricity generation and photoelectricity in smooth net, particularly distributed power generation high permeability exacerbate this complexity significantly.
At present, domestic and international researcher has made related exploration to microgrid energy management strategy.A few days ago-rolling-real-time 3 layers of frame
Frame and a few days ago-in a few days 2 layer frame are successively suggested.3 layers of frame and 2 layers of frame are based on predictive control theory, according to current fortune
Row operating mode and newest prediction result adjust last layer controlled quentity controlled variable, the interference for the factor that removes uncertainty.Wherein, in a few days scheduling is counted
Draw be in advance some time plan a few days ago in a certain period is corrected according to newest operation information, substantially consider operation pacify
Full optimal load flow model.
Distributed generation resource as power generation source main in micro-capacitance sensor, mainly have diesel-driven generator (diesel engine,
DE), miniature gas turbine (micro-turbine, MT), fuel cell (fuel cell, FC), wind-driven generator (wind
Turbine, WT), photovoltaic cell (photo-voltaic, PV), accumulator (storage battery, ST) etc., these distributions
Formula power supply can also convey the reactive power of certain capacity while active power is provided for micro-capacitance sensor.Since micro-capacitance sensor carries
Certain load or burden without work, if circuit actual transmission power will likely be caused by ignoring reactive power in micro-capacitance sensor in a few days operation plan
The problem of out-of-limit and electrical equipment actual capacity is out-of-limit.And the single reactive-load compensation for considering capacitor switching is then held in micro-capacitance sensor
Easily cause variation.When the capacitor switching response time is slower, the idle output or absorption of distributed generation resource can also be effective
The idle surplus and deficiency of smooth micro-capacitance sensor improves the voltage level of micro-capacitance sensor and reduces network loss, so cannot ignore distributed generation resource
The idle effect played in micro-capacitance sensor Optimized Operation of contributing.And if idle units limits only simply establish pole to distributed generation resource
Limit value limits equation, then has ignored the idle output characteristics of distributed generation resource complexity, and it is practical to be detached from engineering.
Invention content
In order to overcome the disadvantages mentioned above of the prior art, the purpose of the present invention is to provide a kind of micro-capacitance sensors in a few days to adjust with insufficient
The modeling method of degree plan mixed-integer programming model.
The purpose of the present invention is achieved through the following technical solutions：
The modeling method of micro-capacitance sensor in a few days operation plan mixed-integer programming model, includes the following steps：
The object function of step 1, structure micro-capacitance sensor in a few days operation plan mixed-integer programming model is meeting normal fortune
Under conditions of row constraint, by the output of each controllable of reasonable arrangement, make system operation the lowest cost；
The linearisation constraint equation of step 2, the active and reactive output of structure diesel oil synchronous generator；
Step 3, the linearisation constraint equation for building the active and reactive output through grid-connected inverters distributed generation resource；It is described
Include single-shaft variant miniature gas turbine, fuel cell, accumulator, photovoltaic cell through grid-connected inverters distributed generation resource；
The linearisation constraint equation of step 4, the active and reactive output of structure double-fed induction wind turbine；
Step 5, structure consider the linearisation power flow equation of voltage magnitude；
Step 6, structure tributary capacity linearisation constraint equation；
Step 7 is constrained with reference to the existing linearisation of micro-capacitance sensor, forms micro-capacitance sensor in a few days operation plan mixed integer programming mould
Type solves software with mixed integer programming and is solved.
The object function of the in a few days operation plan mixed-integer programming model of micro-capacitance sensor described in step 1, it is specific as follows：
In formula, Cdeii,t、Cmtjj,tAnd Cfck,tRespectively diesel-driven generator ii, miniature gas turbine jj and fuel cell k exist
The operation totle drilling cost of period t, including fuel cost, startup with shutting down cost, maintenance cost；T ∈ T represent period t in scheduling week
In phase T, ii ∈ I represent that diesel-driven generator ii belongs to diesel-driven generator set I, jj ∈ J and represents that miniature gas turbine jj belongs to micro-
Type gas turbine set J, k ∈ K represent that fuel cell k belongs to fuel cell set K, s ∈ S and represents that accumulator s belongs to accumulator
Set S；Css,tIt is accumulator s in period t charge and discharge voltage ageing cost；Cl,tFor load l curtailing expenditure in period t,zltFor the operating status of period t interruptible load l, pL,ltAnd PltIt is negative to represent that period t can interrupt respectively
The unit power economic loss and active power of lotus l excisions；Cm,tPurchase sale of electricity expense during to be incorporated into the power networks between micro-capacitance sensor and major network
With Cm,t=pgPPCC,t, pgFor period t electricity transaction price, PPCC,tIt is positive number for the active power that period t is exchanged with major network
It represents power purchase, is negative number representation sale of electricity.
The linearisation constraint equation of the active and reactive output of diesel oil synchronous generator described in step 2 is synchronized by diesel oil and sent out
Motor maximum stator current restriction, diesel oil synchronous generator maximum rotor voltage restriction, diesel oil synchronous generator are most
Big load angle restriction, diesel oil synchronous generator minimax prime mover active power restriction composition；
Diesel oil synchronous generator maximum stator current restriction is as follows：
In formula, VsgThe voltage of node is connect by synchronous generator stator,For maximum stator current, PsgAnd QsgRespectively
For active and reactive output power,For the maximum active output power of synchronous generator,For maximum rotor voltage,For
Longitudinal axis reactance, PbAnd QbIt is maximum stator current constraint and the intersection point power of maximum rotor voltage constraint, PcAnd QcIt is maximum stator
The intersection point power of restriction of current and prime mover maximum active power restriction, the inequality symbol of inequality constraints needs root in formula
Change according to concrete numerical value and change；
Diesel oil synchronous generator maximum rotor voltage restriction is as follows：
In formula,For the minimum active output power of synchronous generator, PaAnd QaIt is the constraint of maximum rotor voltage and prime mover
The intersection point power of minimum active power restriction, in formula the inequality symbol of inequality constraints need to be changed according to concrete numerical value and
Variation；
Diesel oil synchronous generator peak load angle restriction is as follows：
In formula,For the maximum power angle of synchronous generator,For quadrature-axis reactance；
Diesel oil synchronous generator minimax prime mover active power restriction is as follows：
The linearisation constraint equation of the active and reactive output through grid-connected inverters distributed generation resource is by inverse described in step 3
Become device and flow through current limit constraint, the maximum active export-restriction constraint composition of distributed generation resource；
It is as follows that inverter flows through current limit constraint：
In formula, VdgThe voltage of node, I are met by inverterirTo flow through the electric current of inverter, the tune of inverter can be passed through
It is whole to keep constant, Pdg、QdgThe reactive power that the active power and inverter that respectively distributed generation resource is sent out are sent out, α are inversion
Device flows through the vectorial angle of the intersection point of current limit constraint and the maximum active export-restriction constraint of distributed generation resource, and θ, β are respectively nothing
2 points of vectorial angle on work(constraint curve, m linearize segments for idle circular arc, and k is integer；
The maximum active export-restriction constraint of distributed generation resource is as follows：
In formula,For the maximum output active power of distributed generation resource,Minimum output for distributed generation resource is active
Power.
The linearisation constraint equation of the active and reactive output of double-fed induction wind turbine described in step 4 is by wind turbine maximum stator
Current limit constraint, the constraint of wind turbine maximum rotor current limit, the active export-restriction constraint composition of wind turbine minimax；
Wind turbine maximum stator current restriction is as follows：
In formula, VwtThe voltage of node is connect by wind turbine,For the maximum stator current of wind turbine, PwtAnd QwtRespectively have
Work(, idle output power,For the maximum active output power of wind turbine, swtFor the rotor speed of wind turbine, swt∈ (- 1,1), with the wind
The fluctuation of speed and change, but it can be made for definite value by adjusting, Ph、QhIt is maximum for maximum stator current restriction and wind turbine
The intersection point power of active export-restriction constraint, Pi、QiFor maximum stator current restriction and the minimum active export-restriction of wind turbine about
The intersection point power of beam, the inequality symbol of inequality constraints need to be determined according to concrete numerical value in formula；
The constraint of wind turbine maximum rotor current limit is as follows：
In formula, the inequality symbol of inequality constraints need to be determined according to concrete numerical value, Pf、QfIt is limited for maximum rotor electric current
Restrict beam and the intersection point power of the minimum active export-restriction constraint of wind turbine, Pg、QgFor the constraint of maximum rotor current limit and wind turbine most
The intersection point power of big active export-restriction constraint,For excitation impedance,For stator impedance, a, b, c, d are the multiplier introduced
The factor, value are as follows：
In formula,For excitation resistance,For excitation reactance,For stator resistance,For stator reactance.
The active export-restriction constraint of wind turbine minimax is as follows：
Consider that the linearisation power flow equation of voltage magnitude is as follows described in step 5：
In formula, PGiAnd QGiThe respectively generated power and reactive power of node i, PDiAnd QDiThe respectively load of node i
Active and reactive power；ViAnd VjThe respectively voltage magnitude of node i and j；J ∈ i represent that node j is connected directly with node i,
θij、GijAnd BijRespectively node i and phase angle difference, conductance and the susceptance of node j, GiiAnd BiiThe respectively reality of node i self-admittance
Portion and imaginary part, PijAnd QijThe respectively active and reactive power of branch ij；Gi0And Bi0Respectively branch ij interior joints i is over the ground
Conductance and susceptance；
Using special sort set pairMake linearization process.
The linearisation constraint equation of tributary capacity described in step 6 is as follows：
In formula, SijRepresent the transmission capacity limits value of branch ij, α ', β ' are tributary capacity restrained circleOn
2 points of vectorial angle, m' are the equilateral number of edges of inscribed, and k' is integer.
The operation principle of the present invention：By micro-capacitance sensor, in a few days operation plan nonlinear model is converted into the modeling method of the present invention
Micro-capacitance sensor based on analytic geometry in a few days operation plan mixed-integer programming model.In the base of traditional micro-capacitance sensor economic load dispatching model
On plinth, establish and consider the linearisation constraint equation of the active and reactive output relation of each distributed generation resource of micro-capacitance sensor, consider voltage amplitude
Linearisation power flow equation, the tributary capacity linear equation based on analytic geometry of value.
Compared with prior art, the present invention has the following advantages and beneficial effect：
Firstth, the present invention is according to diesel oil synchronous generator, the distributed generation resource through grid-connected inverters and double-fed induction wind
Machine establishes the difference of idle output control and linearizes idle output characteristics equation accordingly respectively, meets distributed generation resource reality
Characteristic, making micro-capacitance sensor, in a few days operation plan result is more accurate.
Secondth, the present invention is based on the constraint of the linearisation tributary capacity of analytic geometry, conventional linear tide model is overcome
Only consider the limitation of the active transmission capacity constraint of branch.
Third, the present invention propose the mixed-integer programming model of microgrid in a few days planned dispatching a kind of, and not linearized
Model is compared, and is put forward the result of model acquisition under the premise of deviation is little, can be quickly converged on globally optimal solution, and do not depend on
In initial value.In a few days operation plan is substantially mixed-integer nonlinear programming model to micro-capacitance sensor.The original of solving model continuous variable
Beginning dual interior point, constringency performance depend on the distance of given initial value and optimized operation point.Since linear programming problem belongs to
Convex programming problem, method for solving is ripe, and locally optimal solution is globally optimal solution；Branch and bound method is a kind of in solution sky
Between gradually segment the integer programming derivation algorithm of feasible zone on tree, have global optimizing ability, with linear programming for solution algorithm phase
Software, such as CPLEX are solved with reference to mixed integer programming is widely used in.Therefore, by micro-capacitance sensor in a few days operation plan model line
Property after solve again, can not only efficient stable obtain globally optimal solution, also reconciled the contradiction of solving speed and precision.
Description of the drawings
Fig. 1 is the in a few days operation plan mixed-integer programming model of the micro-capacitance sensor based on analytic geometry of the embodiment of the present invention
Flow chart.
Fig. 2 (a) is the active and reactive output curve diagram of not linearized diesel-driven generator of the embodiment of the present invention.
Fig. 2 (b) is the active and reactive output curve diagram of linearized diesel-driven generator of the embodiment of the present invention.
Fig. 3 (a) is the active and reactive curve of output schematic diagram with inverter distributed generation resource of the embodiment of the present invention.
Fig. 3 (b) is the active and reactive curve of output schematic diagram of the double-fed induction wind turbine of the embodiment of the present invention.
Fig. 4 (a) is the idle circle constraint schematic diagram of the linearisation with inverter distributed generation resource of the embodiment of the present invention.
Fig. 4 (b) is the tributary capacity linearisation constraint schematic diagram of the embodiment of the present invention.
Fig. 5 is the micro-capacitance sensor topological diagram of the embodiment of the present invention.
Fig. 6 is the power prediction value schematic diagram of photovoltaic, wind-powered electricity generation, load in the embodiment of the present invention.
The micro-capacitance sensor of Fig. 7 the embodiment of the present invention in a few days operation plan mixed-integer programming model solving result schematic diagram.
Specific embodiment
With reference to embodiment, the present invention is described in further detail, but the implementation of the present invention is not limited to this.
Embodiment
The in a few days operation plan mixed-integer programming model of the micro-capacitance sensor based on analytic geometry of the present invention, as shown in Figure 1, packet
Include following steps：
The object function of step 1, structure micro-capacitance sensor in a few days operation plan mixed-integer programming model is meeting normal fortune
Under conditions of row constraint, by the output of each controllable of reasonable arrangement, make system operation the lowest cost, specific steps are such as
Under：
It is specific as follows：
In formula, Cdeii,t、Cmtjj,tAnd Cfck,tRespectively diesel-driven generator ii, miniature gas turbine jj and fuel cell k exist
The operation totle drilling cost of period t, including fuel cost, startup with shutting down cost, maintenance cost；T ∈ T represent period t in scheduling week
In phase T, ii ∈ I represent that diesel-driven generator ii belongs to diesel-driven generator set I, jj ∈ J and represents that miniature gas turbine jj belongs to micro-
Type gas turbine set J, k ∈ K represent that fuel cell k belongs to fuel cell set K, s ∈ S and represents that accumulator s belongs to accumulator
Set S；Css,tIt is accumulator s in period t charge and discharge voltage ageing cost；Cl,tFor load l curtailing expenditure in period t,zltFor the operating status (1 represents excision, and 0 represents operation) of period t interruptible load l, pL,ltAnd Plt
The unit power economic loss and active power of period t interruptible load l excision are represented respectively；Cm,tMicro- electricity during to be incorporated into the power networks
Purchase sale of electricity expense between net and major network, Cm,t=pgPPCC,t, pgFor period t electricity transaction price, PPCC,tIt is handed over for period t and major network
The active power changed represents power purchase for positive number, is negative number representation sale of electricity.
The linearisation constraint equation of step 2, the active and reactive output of structure diesel oil synchronous generator：
The linearisation constraint equation of the active and reactive output of the diesel oil synchronous generator is by diesel oil synchronous generator maximum
Stator current restriction, diesel oil synchronous generator maximum rotor voltage restriction, diesel oil synchronous generator peak load angle
Restriction, diesel oil synchronous generator minimax prime mover active power restriction composition；
Diesel oil synchronous generator maximum stator current restriction is as follows：
In formula, VsgThe voltage of node is connect by synchronous generator stator,For maximum stator current, PsgAnd QsgRespectively
Active and reactive output power,For the maximum active output power of synchronous generator,For maximum rotor voltage,For
Longitudinal axis reactance, PbAnd QbIt is maximum stator current constraint and the intersection point power of maximum rotor voltage constraint, PcAnd QcIt is maximum stator
The intersection point power of restriction of current and prime mover maximum active power restriction, the inequality symbol of inequality constraints needs root in formula
Change according to concrete numerical value and change；
Diesel oil synchronous generator maximum rotor voltage restriction is as follows：
In formula,For the minimum active output power of synchronous generator, PaAnd QaIt is the constraint of maximum rotor voltage and prime mover
The intersection point power of minimum active power restriction, in formula the inequality symbol of inequality constraints need to be changed according to concrete numerical value and
Variation；
Diesel oil synchronous generator peak load angle restriction is as follows：
In formula,For the maximum power angle of synchronous generator,For quadrature-axis reactance；
Diesel oil synchronous generator minimax prime mover active power restriction is as follows：
Specific derivation process is as follows：
Fig. 2 (a)~Fig. 2 (b) is the active and reactive output power curve figure of diesel oil synchronous generator, by maximum stator electricity
Flow restriction C1, maximum rotor voltage restriction C2, peak load angle restriction C3, minimax prime mover wattful power
Rate restriction C4Composition；
The constraint C1It is represented by：
In formula, VsgThe voltage of node is connect by synchronous generator stator,For maximum stator current, PsgAnd QsgRespectively
For active and reactive output power.
The constraint C2It is represented by：
In formula,For maximum rotor voltage,For longitudinal axis reactance.
The constraint C3It is represented by：
In formula,For the maximum power angle of synchronous generator,For quadrature-axis reactance.
The constraint C4It is represented by：
In formula,Respectively synchronous generator minimum, maximum active output power.
Dash area then constrains surrounded irregular figure to meet formula (2)-(5) in Fig. 2 (a).Notice formula (2)-
(3) it is constrained for quadratic inequality, is linearized, by the way that the intersection point between each function is obtained, two are replaced with the straight line of approximately equivalent
Secondary inequation, active and reactive output power curve figure have been reformed into such as the polygon in Fig. 2 (b).A in Fig. 2 (b) can be obtained
(Pa,Qa)、B(Pb,Qb)、C(Pc,Qc) point coordinate it is as follows：
Then 2. the linear equation in Fig. 2 (b) is 1. written as respectively：
Note that the inequality symbol in formula (9)-(10) remakes judgement after need to substituting into specific data, it is only for reference herein.
This method is substantially that will constrain (2)-(3) using the method for edge fit in circular arc to carry out piece-wise linearization, due to same
It is smaller to walk generator constraint equation radian, the mode that can be directly connected under the premise of certain required precision is met with endpoint, when
Computational accuracy need to consider to carry out multistage linear when being unsatisfactory for.
Step 3, the linearisation constraint equation for building the active and reactive output through grid-connected inverters distributed generation resource；It is described
Include single-shaft variant miniature gas turbine, fuel cell, accumulator, photovoltaic cell through grid-connected inverters distributed generation resource；The warp
The linearisation constraint equation of the active and reactive output of grid-connected inverters distributed generation resource by inverter flow through current limit constraint,
The maximum active export-restriction constraint composition of distributed generation resource.
It is as follows that inverter flows through current limit constraint：
In formula, VdgThe voltage of node, I are met by inverterirTo flow through the electric current of inverter, the tune of inverter can be passed through
It is whole to keep constant, Pdg、QdgThe reactive power that the active power and inverter that respectively distributed generation resource is sent out are sent out, α are inversion
Device flows through the vectorial angle of the intersection point of current limit constraint and the maximum active export-restriction constraint of distributed generation resource, and θ, β are respectively nothing
2 points of vectorial angle on work(constraint curve, m linearize segments for idle circular arc, and k is integer；
The maximum active export-restriction constraint of distributed generation resource is as follows：
In formula,For the maximum output active power of distributed generation resource,Minimum output for distributed generation resource is active
Power.
Specific derivation process is as follows：
Single-shaft variant miniature gas turbine, fuel cell, accumulator, photovoltaic cell after inverter commutation inversion by accessing
Micro-capacitance sensor, Gu its active and reactive output is constrained by inverter.Micro- electricity is accessed as Fig. 3 (a) show source inventer with voltage
The active and reactive output power curve figure of the distributed generation resource of net, influencing constraint has inverter to flow through current limit constraint C5, band
The maximum active export-restriction constraint C of inverter distributed generation resource6。
The constraint C5It is represented by：
In formula, VdgThe voltage of node, I are met by inverterirTo flow through the electric current of inverter, the tune of inverter can be passed through
It is whole to keep constant, Pdg、QdgThe idle work(that the active power and inverter respectively sent out with inverter distributed generation resource is sent out
Rate.
The constraint C6It is represented by：
In formula,For the maximum output active power of distributed generation resource,Minimum output for distributed generation resource is active
Power, generally 0.
Formula (11) mathematically represents that a radius R is | Vdg|IirRound inside, therefore using analytic geometry
Method linearizes the circular arc portion of Fig. 3 (a), as shown in Fig. 4 (a).Power diagram is by line segment A'B', C'D' and circular arc A'
D', B'C' are surrounded, and only need to carry out piece-wise linearization to circular arc.By circular arc A'D'm deciles, each branch is linked successively, obtains circular arc
Inscribed isometric broken line.As m → ∞, broken line equivalence circular arc.
If X, Y is adjacent on circular arc A'D' 2 points, the vectorial angle that D' can be obtained by the coordinate of D' points is α, then Fig. 4 (a)
In β=α+(pi/2-α) k/m, θ=α+(pi/2-α) (k+1)/m, k ∈ [0, m-1], that is, put X-coordinate be (Rcos β, Rsin β),
Point Y coordinate is (Rcos θ, Rsin θ), then the equation of arbitrary 1 broken line XY is represented by：
Based on analytic geometry theory, the part equation of below circular arc A'D' can be equivalent to：
(sinθ-sinβ)Pdg-(cosθ-cosβ)Qdg-sin(θ-β)R≤0 (14)
Similarly, same processing can be done to circular arc B'C'.
The linearisation constraint equation of step 4, the active and reactive output of structure double-fed induction wind turbine；The double-fed induction wind
The linearisation constraint equation of the active and reactive output of machine is by wind turbine maximum stator current restriction, wind turbine maximum rotor electric current
The active export-restriction constraint composition of restriction, wind turbine minimax；
Wind turbine maximum stator current restriction is as follows：
In formula, VwtThe voltage of node is connect by wind turbine,For the maximum stator current of wind turbine, PwtAnd QwtRespectively have
Work(, idle output power,For the maximum active output power of wind turbine, swtFor the rotor speed of wind turbine, swt∈ (- 1,1), with the wind
The fluctuation of speed and change, but it can be made for definite value by adjusting, Ph、QhIt is maximum for maximum stator current restriction and wind turbine
The intersection point power of active export-restriction constraint, Pi、QiFor maximum stator current restriction and the minimum active export-restriction of wind turbine about
The intersection point power of beam, the inequality symbol of inequality constraints need to be determined according to concrete numerical value in formula；
The constraint of wind turbine maximum rotor current limit is as follows：
In formula, the inequality symbol of inequality constraints need to be determined according to concrete numerical value, Pf、QfIt is limited for maximum rotor electric current
Restrict beam and the intersection point power of the minimum active export-restriction constraint of wind turbine, Pg、QgFor the constraint of maximum rotor current limit and wind turbine most
The intersection point power of big active export-restriction constraint,For excitation impedance,For stator impedance, a, b, c, d are multiplying for introducing
The number factor, value are as follows：
In formula,For excitation resistance,For excitation reactance,For stator resistance,For stator reactance.
The active export-restriction constraint of wind turbine minimax is as follows：
Specific derivation process is as follows：
Fig. 3 (b) show the active and reactive output power curve figure of double-fed induction wind turbine, and influencing constraint has maximum stator
Current limit constrains C7, maximum rotor current limit constraint C8With the maximum active export-restriction constraint C of wind turbine9。
The constraint C7It is represented by：
In formula, VwtThe voltage of node is connect by wind turbine,For the maximum stator current of wind turbine, PwtAnd QwtRespectively have
Work(, idle output power, swtFor the rotor speed of wind turbine, swt∈ (- 1,1), changes, but can pass through with the fluctuation of wind speed
Adjusting makes it be definite value.
The constraint C8It is represented by：
In formula,For excitation impedance,For excitation resistance,For excitation reactance,For stator impedance,For stator resistance,For stator reactance；Turn for wind turbine maximum
Electron current；γwtFor power of fan factor angle, it is represented by：
Due to γwtFor positive number, then sin γwtAlso it is positive number, introducing factor a, b then has：
Factor c, d are introduced, then formula (16) can be equivalent to：
The maximum active output of wind turbine is expressed as：
In formula,For the maximum active output power of wind turbine.
Each circular arc is directly connected into straight line equivalence using intersection point with as synchronous generator power curve linear method, can be asked
Go out Fig. 3 (b) midpoints F (Pf,Qf)、G(Pg,Qg)、H(Ph,Qh)、I(Pi,Qi) coordinate it is as follows：
Similarly constrain C7With constraint C8It approximately linear can turn to respectively：
Note that the inequality symbol in formula (25)-(26) remakes judgement after need to substituting into specific data, it is only for reference herein.
Step 5, structure consider that the linearisation power flow equation of voltage magnitude is as follows：
In formula, PGiAnd QGiThe respectively generated power and reactive power of node i, PDiAnd QDiThe respectively load of node i
Active and reactive power；ViAnd VjThe respectively voltage magnitude of node i and j；J ∈ i represent that node j is connected directly with node i,
θij、GijAnd BijRespectively node i and phase angle difference, conductance and the susceptance of node j, GiiAnd BiiThe respectively reality of node i self-admittance
Portion and imaginary part, PijAnd QijThe respectively active and reactive power of branch ij；Gi0And Bi0Respectively branch ij interior joints i is over the ground
Conductance and susceptance；Using special sort set pairMake linearization process.
Specific derivation process is as follows：
Micro-capacitance sensor in a few days operation plan substantially consider operational safety optimal load flow model.Trend constraint is in a few days adjusts
The equality constraint of planning model is spent, using based on polar tide model：
In formula, PGiAnd QGiThe respectively generated power and reactive power of node i, PDiAnd QDiThe respectively load of node i
Active and reactive power；ViAnd VjThe respectively voltage magnitude of node i and j；J ∈ i represent that node j is connected directly with node i,
θij、GijAnd BijRespectively node i and phase angle difference, conductance and the susceptance of node j, GiiAnd BiiThe respectively reality of node i self-admittance
Portion and imaginary part, PijAnd QijThe respectively active and reactive power of branch ij；Gi0And Bi0Respectively branch ij interior joints i is over the ground
Conductance and susceptance.
It improves power quality, improve the important content that voltage level is not only micro-capacitance sensor economic load dispatching, also relationship micro-capacitance sensor
The operation characteristic of middle micro battery and load.Therefore it is presumed that the DC flow model that voltage magnitude is 1.0pu is not directly applicable
Micro-capacitance sensor economic load dispatching.For this purpose, the monomial linear approximation processing one by one formed to power flow equation variable.Micro-capacitance sensor radius of electricity supply
It is small, meet 0.95p.u.≤Vi≤ 1.05p.u., | θij|≤40o conditions, state variable form monomial original value and approximation
Maximum deviation, as shown in table 1.The maximum deviation of power flow equation monomial and approximate expression is within 3% as seen from Table 1, and passes
The cos θ of systemij1.0 worst errors of ≈ are up to 23.4%.With reference to trigonometric function formulaThen formula
(27) it can be turned to formula (28)：
The error of 1 power flow equation monomial of table and approximate expression
It noticesBe not linear equation there are formula (31) and formula (32), using special sort set (special
Order set) it is rightMake linearization process.While formula (31) and formula (32) are converted into linear equation, also retain voltage magnitude,
Be conducive to consider the influence that voltage runs micro-capacitance sensor.
Step 6, structure tributary capacity linearisation constraint equation are as follows：
In formula, SijRepresent the transmission capacity limits value of branch ij, α ', β ' are tributary capacity restrained circleOn
2 points of vectorial angle, m' are the equilateral number of edges of inscribed, and k' is integer.
Specific derivation process is as follows：
The transmission capacity of branch ij must meet：
In formula, SijRepresent the transmission capacity limits value of branch ij.Analytically geometric angle is seen, formula (33) represents point (Pij,
Qij) in radius be SijCircle in, as shown in Fig. 4 (b).If by circumference m' deciles, each branch is linked successively, obtains inscribed
Wait m' sides shape.As m' → ∞, point (Pij,Qij) point (P is equivalent in circleij,Qij) in the shape of the m' such as inscribed sides.
If A, B is adjacent 2 points of the m' sides shape such as inscribed, the vectorial angle of A, B is respectively α ', β ', then the π k'/m' of α '=2,
The π (k'+1) of β '=2/m', k' ∈ [0, m'-1], i.e. point A coordinates are (SijCos α ', SijSin α '), point B coordinates are (SijCos β ',
SijSin β '), then as m', when shape is 1 arbitrary, AB linear equations are represented by：
Based on analytic geometry theory, formula (33) can turn to：
(sinβ'-sinα')Pij-(cosβ'-cosα')Qij-sin(β'-α')Sij≤0 (35)
Step 7 is constrained with reference to the existing linearisation of micro-capacitance sensor, forms micro-capacitance sensor in a few days operation plan mixed integer programming mould
Type solves software with mixed integer programming and is solved.
The present embodiment in a few days dispatches the micro-capacitance sensor based on analytic geometry of the present invention by taking microgrid figure shown in fig. 5 as an example
The idiographic flow of plan mixed-integer programming model illustrates：
Microgrid figure shown in fig. 5 by power supply, load, circuit, bus nodes, reactive power compensator, major network and its with public affairs
Transformer composition between tie point (point of common couple, PCC) altogether.Wherein, power supply includes 1 miniature diesel
Machine, 1 asynchronous wind turbine, 1 photovoltaic generator and 2 accumulators (including the 1st accumulator and the 2nd accumulator)；Load includes 1
Important load, 5 interruptible loads (including the 1st~5 interruptible load) and 1 elastic load；Circuit has 8 bars of (the 1st~8 lines
Road), model is LJ_95, wherein the length of the 1st circuit is 500m, the length of the 2nd circuit is 100m, the length of the 3rd circuit
For 50m, the length of the 4th circuit is 150m, and the length of the 5th circuit is 120m, and the length of the 6th circuit is 100m, the 7th circuit
Length is 200m, the length of the 8th circuit is 150m,；Bus nodes have 10, are respectively designated as A~J；Reactive power compensator connects
On bus nodes B；The voltage class of major network is 110kV, and the voltage class of microgrid is 10kV.
It is 0.4kV, power reference value 100kVA to take micro-capacitance sensor voltage a reference value.In a few days the time span of operation plan is
4h is divided into 16 periods, per the period a length of 15min.Specifically choose certain day 14:00-18:00, photovoltaic, the wind-powered electricity generation of the time range
And load power short-term forecast value is as shown in Figure 6.
The idiographic flow of model construction is as follows：
(1) object function of structure micro-capacitance sensor in a few days operation plan mixed-integer programming model, the present embodiment fuel unit
Using diesel engine as representative, Gu involved operating cost is taken including diesel engine operating cost, accumulator aging cost, load reduction
With, be incorporated into the power networks when micro-capacitance sensor and major network between purchase sale of electricity expense.
The object function of the micro-capacitance sensor in a few days operation plan is：
(2) the linearisation constraint equation of the active and reactive output of structure diesel oil synchronous generator, diesel oil synchronous generator
Related operating parameter (perunit value) such as table 2：
The related operating parameter of 2 diesel oil synchronous generator of table
The linearisation constraint equation of structure is as follows：
(3) build accumulator, photovoltaic cell active and reactive output linearisation constraint equation, accumulator and photovoltaic electric
Related operating parameter (perunit value) such as table 3 in pond：
3 accumulator of table operating parameter related to photovoltaic cell
It is 1 to take the hop count m of segmentation, the storage battery active power of structure, it is idle go out force linearizing constraint equation it is as follows：
The photovoltaic cell of structure it is active and reactive go out force linearizing constraint equation it is as follows：
(4) the linearisation constraint equation of the active and reactive output of structure double-fed induction wind turbine, the correlation of double-fed induction wind turbine
Operating parameter (perunit value) such as table 4：
The related operating parameter of 4 double-fed induction wind turbine of table
The double-fed induction wind turbine of structure it is active and reactive go out force linearizing constraint equation it is as follows：
(5) structure considers the linearisation power flow equation of voltage magnitude, and the resistance of circuit is 0.069 Ω/km, and reactance is
0.099 Ω/km, ignores branch admittance over the ground, and G is calculated with reference to Fig. 5 dataii、Bii, it is as follows to list linearisation power flow equation：
It is right that special sort set (special order set) can be usedMake linearization process.
(6) structure tributary capacity linearisation constraint equation, branch maximum capacity SijFor 100kW, it is as follows to establish equation：
(sinβ'-sinα')Pij-(cosβ'-cosα')Qij-100sin(β'-α')≤0 (42)
(7) with reference to other existing linearisation constraints of micro-capacitance sensor, micro-capacitance sensor in a few days operation plan mixed integer programming is formed
Model solves software with mixed integer programming and is solved, and the in a few days active plan of each distributed generation resource is as shown in Figure 7.
Above-described embodiment is the preferable embodiment of the present invention, but embodiments of the present invention are not by the embodiment
Limitation, other any Spirit Essences without departing from the present invention with made under principle change, modification, replacement, combine, simplification,
Equivalent substitute mode is should be, is included within protection scope of the present invention.
Claims (1)
1. the modeling method of micro-capacitance sensor in a few days operation plan mixed-integer programming model, which is characterized in that include the following steps：
The object function of step 1, structure micro-capacitance sensor in a few days operation plan mixed-integer programming model；
The object function of the micro-capacitance sensor in a few days operation plan mixed-integer programming model, it is specific as follows：
In formula, Cdeii,t、Cmtjj,tAnd Cfck,tRespectively diesel-driven generator ii, miniature gas turbine jj and fuel cell k are in period t
Operation totle drilling cost, including fuel cost, startup with shut down cost, maintenance cost；T ∈ T represent period t in dispatching cycle T,
Ii ∈ I represent that diesel-driven generator ii belongs to diesel-driven generator set I, jj ∈ J and represents that miniature gas turbine jj belongs to miniature gas
Turbine set J, k ∈ K represent that fuel cell k belongs to fuel cell set K, s ∈ S and represents that accumulator s belongs to accumulator set S；
CSs, tIt is accumulator s in period t charge and discharge voltage ageing cost；Cl,tFor load l curtailing expenditure in period t,zltFor the operating status of period t interruptible load l, pL,ltAnd PltIt is negative to represent that period t can interrupt respectively
The unit power economic loss and active power of lotus l excisions；Cm,tPurchase sale of electricity expense during to be incorporated into the power networks between micro-capacitance sensor and major network
With Cm,t=pgPPCC,t, pgFor period t electricity transaction price, PPCC,tIt is positive number for the active power that period t is exchanged with major network
It represents power purchase, is negative number representation sale of electricity；
The linearisation constraint equation of step 2, the active and reactive output of structure diesel oil synchronous generator；
The linearisation constraint equation of the active and reactive output of the diesel oil synchronous generator is by diesel oil synchronous generator maximum stator
Current limit constraint, diesel oil synchronous generator maximum rotor voltage restriction, the limitation of diesel oil synchronous generator peak load angle
Constraint, diesel oil synchronous generator minimax prime mover active power restriction composition；
Diesel oil synchronous generator maximum stator current restriction is as follows：
In formula, VsgThe voltage of node is connect by synchronous generator stator,For maximum stator current, PsgAnd QsgRespectively have
Work(, idle output power,For the maximum active output power of synchronous generator,For maximum rotor voltage,For the longitudinal axis
Reactance, PbAnd QbIt is maximum stator current constraint and the intersection point power of maximum rotor voltage constraint, PcAnd QcIt is maximum stator current
Constraint and the intersection point power of prime mover maximum active power restriction, the inequality symbol of inequality constraints need to be according to tool in formula
Body numerical value change and change；
Diesel oil synchronous generator maximum rotor voltage restriction is as follows：
In formula,For the minimum active output power of synchronous generator, PaAnd QaIt is that the constraint of maximum rotor voltage and prime mover are minimum
The intersection point power of active power restriction, the inequality symbol of inequality constraints need to change according to concrete numerical value and be become in formula
Change；
Diesel oil synchronous generator peak load angle restriction is as follows：
In formula,For the maximum power angle of synchronous generator,For quadrature-axis reactance；
Diesel oil synchronous generator minimax prime mover active power restriction is as follows：
Step 3, the linearisation constraint equation for building the active and reactive output through grid-connected inverters distributed generation resource；It is described through inverse
Become the grid-connected distributed generation resource of device and include single-shaft variant miniature gas turbine, fuel cell, accumulator, photovoltaic cell；
The linearisation constraint equation of the active and reactive output through grid-connected inverters distributed generation resource flows through electric current by inverter
The maximum active export-restriction constraint composition of restriction, distributed generation resource；
It is as follows that inverter flows through current limit constraint：
In formula, VdgThe voltage of node, I are met by inverterirTo flow through the electric current of inverter, can be kept by the adjustment of inverter
It is constant, Pdg、QdgThe reactive power that the active power and inverter that respectively distributed generation resource is sent out are sent out, α are flowed through for inverter
Current limit constrains and the vectorial angle of the intersection point of the maximum active export-restriction constraint of distributed generation resource, and θ, β are respectively idle constraint
2 points of vectorial angle on curve, m linearize segments for idle circular arc, and k is integer；
The maximum active export-restriction constraint of distributed generation resource is as follows：
In formula,For the maximum output active power of distributed generation resource,Minimum active power of output for distributed generation resource；
The linearisation constraint equation of step 4, the active and reactive output of structure double-fed induction wind turbine；
The linearisation constraint equation of the active and reactive output of the double-fed induction wind turbine is limited about by wind turbine maximum stator current
Beam, the constraint of wind turbine maximum rotor current limit, the active export-restriction constraint composition of wind turbine minimax；
Wind turbine maximum stator current restriction is as follows：
In formula, VwtThe voltage of node is connect by wind turbine,For the maximum stator current of wind turbine, PwtAnd QwtRespectively active, nothing
Work(output power,For the maximum active output power of wind turbine, swtFor the rotor speed of wind turbine, swt∈ (- 1,1), with wind speed
It fluctuates and changes, but it can be made for definite value by adjusting, Ph、QhIt is active for maximum stator current restriction and wind turbine maximum
The intersection point power of export-restriction constraint, Pi、QiIt is constrained for maximum stator current restriction and the minimum active export-restriction of wind turbine
Intersection point power, the inequality symbol of inequality constraints need to be determined according to concrete numerical value in formula；
The constraint of wind turbine maximum rotor current limit is as follows：
In formula, the inequality symbol of inequality constraints need to be determined according to concrete numerical value, Pf、QfFor maximum rotor current limit about
Beam and the intersection point power of the minimum active export-restriction constraint of wind turbine, Pg、QgHave for the constraint of maximum rotor current limit and wind turbine maximum
The intersection point power of work(export-restriction constraint,For excitation impedance,For stator impedance, a, b, c, d are the multiplier factor introduced,
Its value is as follows：
In formula,For excitation resistance,For excitation reactance,For stator resistance,For stator reactance,
The active export-restriction constraint of wind turbine minimax is as follows：
Step 5, structure consider the linearisation power flow equation of voltage magnitude；
The linearisation power flow equation for considering voltage magnitude is as follows：
In formula, PGiAnd QGiThe respectively generated power and reactive power of node i, PDiAnd QDiThe load of respectively node i is active
And reactive power；ViAnd VjThe respectively voltage magnitude of node i and j；J ∈ i represent that node j is connected directly with node i, θij、Gij
And BijRespectively node i and phase angle difference, conductance and the susceptance of node j, GiiAnd BiiThe respectively real part and void of node i self-admittance
Portion, PijAnd QijThe respectively active and reactive power of branch ij；Gi0And Bi0Respectively the conductance over the ground of branch ij interior joints i and
Susceptance；
Using special sort set pairMake linearization process；
Step 6, structure tributary capacity linearisation constraint equation；
The tributary capacity linearisation constraint equation is as follows：
In formula, SijRepresent the transmission capacity limits value of branch ij, α ', β ' are tributary capacity restrained circleUpper 2 points
Vectorial angle, PijAnd QijThe respectively active and reactive power of branch ij, m' are the equilateral number of edges of inscribed, and k' is integer；
Step 7 is constrained with reference to the existing linearisation of micro-capacitance sensor, forms micro-capacitance sensor in a few days operation plan mixed-integer programming model,
Software is solved with mixed integer programming to be solved.
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| CN105955931B (en) * | 2016-05-10 | 2019-02-19 | 东南大学 | Regional Energy network optimization dispatching method towards the consumption of high density distributed photovoltaic |
| CN106026074A (en) * | 2016-05-25 | 2016-10-12 | 安徽大学 | Low-voltage DC micro-grid experiment platform |
| CN106712032B (en) * | 2017-02-23 | 2018-12-25 | 国家电网有限公司 | A kind of optimal load flow model building method considering Wind turbines active voltage regulating power |
| CN108173265B (en) * | 2018-01-15 | 2020-09-25 | 国网吉林省电力有限公司电力科学研究院 | Power distribution network reconstruction method based on linearized power flow |
| CN108509378B (en) * | 2018-02-11 | 2021-07-06 | 哈尔滨理工大学 | Parameter matching method for composite energy storage system in electric vehicle test platform |
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