CN109167383A - Electric system peak regulation optimization method based on exact linearization method power network model - Google Patents

Electric system peak regulation optimization method based on exact linearization method power network model Download PDF

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CN109167383A
CN109167383A CN201810937487.4A CN201810937487A CN109167383A CN 109167383 A CN109167383 A CN 109167383A CN 201810937487 A CN201810937487 A CN 201810937487A CN 109167383 A CN109167383 A CN 109167383A
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power
unit
peak regulation
constraint
peak
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CN109167383B (en
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林毅
巨云涛
邱柳青
葛夫超
黎萌
严通煜
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China Agricultural University
State Grid Fujian Electric Power Co Ltd
Economic and Technological Research Institute of State Grid Fujian Electric Power Co Ltd
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China Agricultural University
State Grid Fujian Electric Power Co Ltd
Economic and Technological Research Institute of State Grid Fujian Electric Power Co Ltd
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    • HELECTRICITY
    • H02GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02JCIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
    • H02J3/00Circuit arrangements for ac mains or ac distribution networks
    • H02J3/38Arrangements for parallely feeding a single network by two or more generators, converters or transformers
    • HELECTRICITY
    • H02GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02JCIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
    • H02J3/00Circuit arrangements for ac mains or ac distribution networks
    • H02J3/04Circuit arrangements for ac mains or ac distribution networks for connecting networks of the same frequency but supplied from different sources
    • H02J3/06Controlling transfer of power between connected networks; Controlling sharing of load between connected networks

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  • Engineering & Computer Science (AREA)
  • Power Engineering (AREA)
  • Supply And Distribution Of Alternating Current (AREA)
  • Feedback Control In General (AREA)

Abstract

The present invention relates to a kind of electric system peak regulation Optimization Scheduling based on exact linearization method power network model includes the following steps: S1: obtaining the conveying bound data of power system load demand data, each Generator Unit Operating Parameters and each route of cost coefficient, power grid;S2: according to acquired supplemental characteristic, the polymorphic type power supply combined adjusting peak Optimized model containing nuclear power is established;S3: carrying out exact linearization method processing to polymorphic type power supply combined adjusting peak Optimized model, obtains linearisation peak regulation scheduling optimization model;S4: initialization linearisation peak regulation scheduling optimization model parameters solve exact linearization method peak regulation Optimized model using branch and bound method, obtain unit output arrangement.The present invention comprehensively considers the power generation characteristics of different type power supply, establishes the peak-load regulating Optimized model for considering that nuclear power participates in peak regulation, provides Optimized Operation strategy for polymorphic type power supply in electric system.

Description

Electric system peak regulation optimization method based on exact linearization method power network model
Technical field
The invention belongs to Economic Dispatchs to optimize field, and in particular to one kind is based on exact linearization method electric power networks The electric system peak regulation optimization method of model.
Background technique
With the increase of China's power system load demand, power grid peak-valley difference is gradually expanded;On the other hand, all kinds of cleaning energy Source installation scale accounting constantly increase, coastal area nuclear power installed capacity rapid growth, peak load regulation network face more challenges and Pressure, the peak load regulation network optimizing research for carrying out the multiple power sources structure containing nuclear power are of great significance.
The reactor of the nuclear power unit in current China all has certain load-following capacity in design, in peak regulation technique On be it is feasible, can satisfy peak load regulation network scheduling demand;On the other hand, nuclear power peak regulation bring fringe cost and its peak regulation Participation mode and depth have direct relation.It runs and plans in layout process in dispatching of power netwoks, how to optimize nuclear power, wind-powered electricity generation, fire The all types of power supply generation schedules such as electricity, water power realize that system is always sent out under the premise of meeting peak-load regulating demand and security constraint The optimization of electric cost is Operation of Electric Systems and staff planners' urgent problem to be solved.
Summary of the invention
The object of the present invention is in the case where meeting the constraint of unit operational safety, with the minimum target letter of system total power production cost Number, establishes Optimal Operation Model, reasonable arrangement unit output.
To achieve the above object, the technical solution adopted by the present invention is that:
A kind of combined adjusting peak Optimized Operation for considering nuclear power and participating in, it is characterized in that considering thermoelectricity fuel cost, thermoelectricity tune Peak cost, thermoelectricity start-up and shut-down costs, nuclear power peak regulation cost and nuclear power peaking operation characteristic, Line Flow constraint, unit climbing speed The various constraint conditions such as rate constraint, unit minimum start and stop constraint, system power Constraints of Equilibrium, establish combined adjusting peak model, to mould Part Nonlinear Cost Function, electric power networks Nonlinear Constraints in type carry out linearization process, specifically include in following Hold:
Step S1: with 24 hours for dispatching cycle, power system load demand data, each Generator Unit Operating Parameters are obtained And the conveying constraint of each route of cost coefficient, power grid.
Step S2: according to acquired parameter, the polymorphic type power supply combined adjusting peak Optimized model containing nuclear power is established;
Step S3: carrying out exact linearization method processing to model, obtains linearisation peak regulation scheduling optimization model;
Step S4: initialization model parameters solve exact linearization method peak regulation Optimized model using branch and bound method, obtain Take unit output arrangement.
Further, in step sl, acquired power system load demand data refer specifically to be in following 24 hours It unites predicted load, is divided into 15 minutes between predicted time;Acquired Generator Unit Operating Parameters specifically include: nuclear power peak regulation fortune Row characteristic, all kinds of unit ramping rate constraints such as water power, thermoelectricity, nuclear power, combustion gas, pumped storage, all kinds of unit minimum start and stop constraints;Hair This coefficient of motor form specifically includes: thermoelectricity fuel cost, thermoelectricity peak regulation cost, thermoelectricity start-up and shut-down costs, nuclear power peak regulation cost;Institute Each route conveying constraint of the power grid of acquisition includes the active power constraint of each route in power grid, transformer.
Further, in step s 2, the polymorphic type power supply combined adjusting peak Optimized model containing nuclear power established, is one Nonlinear mixed-integer programming model, form are as follows:
Wherein x1、x2For the optimized variable of optimal load flow mathematical model, dimension is respectively n1、n2, wherein x1For continuous variable, x2For discrete integer variable, f (x1,x2) be optimal load flow mathematical model objective function, H (x1,x2) it is equality constraint intersection, dimension Degree is m, G (x1,x2) it is inequality constraints intersection, dimension s, Gmax、GminThe respectively upper lower limit value of inequality constraints.
Polymorphic type power supply combined adjusting peak Optimized model proposed by the present invention containing nuclear power, the table of objective function OF in (1) formula Up to formula are as follows:
Wherein, T=24h is a dispatching cycle, m0、m1Respectively thermoelectricity, nuclear power unit number;For thermoelectricity Fuel cost, whereinai、bi、ciFor cost coefficient, PG,it、PN,itFor thermoelectricity, nuclear power unit i In the activity of force to be found out of t moment;For the opening of fired power generating unit, stop cost, wherein STCG,it=stiyit, SDCG,it=sdizit, sti、sdiThe respectively starting of unit i, shutdown cost coefficient, yit、zitExpression machine Beginning on/off state of the group i in t moment;For thermoelectricity peak regulation cost, For nuclear power peak regulation cost, PN,iMaxFor the maximum output power of nuclear power unit i, CG、CNRespectively thermoelectricity depth peak regulation and nuclear power tune Peak cost coefficient, for the nuclear power unit of CPR1000 heap-type, CN=71 yuan/MWh.
Polymorphic type power supply combined adjusting peak Optimized model proposed by the present invention containing nuclear power, optimized variable includes fire in (1) formula Electricity, to be found out activity of force of the nuclear power unit i in t moment, startup-shutdown state.
Polymorphic type power supply combined adjusting peak Optimized model proposed by the present invention containing nuclear power, constraint condition includes: in (1) formula
S201: power-balance constraint
The sum of thermoelectricity, the nuclear power unit power output of t period whole, P are indicated in formula on the left of equationL,tFor the load of system t period Demand.
S202: spinning reserve constraint
P in formulart, P 'rtRespectively positive and negative stand-by requirement of the system in t moment, P 'G,iMinIt is that fired power generating unit i is participated in substantially Power output lower limit of the power when peak regulation, (4) formula mainly consider to be provided by fired power generating unit spare.
S203: the operation constraint of nuclear power
The power producing characteristics curve of nuclear power meets the peak regulation mode of " 12-3-6-3 ", i.e. 12 hours Operation at full power, and then 3 Hour downrating is kept for low power run 6 hours, then 3 hours power per liter are run to full power shape to low power state State completes a peak regulation period.
Service capacity curve is expressed as:
PN,it=eitPN,iMax+fitPN,iMin+git(PN,iMin+ΔPN,i)+hit(PN,iMin+2ΔPN,i) (5)
In formula: eit, fit, git, hitIt indicates power operating states mark, is { 0,1 } variable;Ti e, Ti fIndicate most Grain Full function Rate operation time and minimum low power run time value, PN,iMin、PN,iMaxIndicate minimum, the maximum output function of nuclear power unit i Rate, Δ PN,iIndicate the power variation of nuclear power unit hour.
S204: the depth peak regulation constraint of nuclear power
ηit=(PN,iMax-PN,it)/PN,iMax≤ηmax (7)
The type of reactor of nuclear power unit, unit capacity are different, have different peak regulation depth threshold ηmax
S205: fired power generating unit depth peak regulation constraint
Unit output bound constraint: PG,iMin≤PG,it≤PG,iMax
(8)
It needs to meet when fired power generating unit depth peak regulation:
P′G,iMin≤PG,it≤PG,iMax (9)
The peak regulation state of thermoelectricity is divided into basic peak regulation and depth peak regulation, only reach certain peak regulation depth just give peak regulation at This compensation, P 'G,iMinIndicate power output lower limit when thermoelectricity participates in basic peak regulation, i.e., known paid peak regulation threshold value, PG,itIndicate to Power output of the fired power generating unit i asked in t moment, PG,iMin、PG,iMaxFor known fired power generating unit i power output bound.
S206: Unit Ramp Rate constraint | PG,it-PG,it-1|≤Δi;Wherein, ΔiIndicate creep speed.
S207: Line Flow constraint
For a n node system, the node power flow equation of AC power flow is
Wherein, subscript i, j respectively indicates node i, j, Pi、QiThe respectively active power and reactive power of node i, Gij、 BijTransconductance and mutual susceptance respectively between node i and node j, Vi、VjIndicate node voltage amplitude, θijPhase angle between expression node Difference.
Further, exact linearization method processing is carried out to model in step s3, obtains linearisation peak regulation optimizing scheduling mould Type specifically includes following content:
S301: the piece-wise linearization of thermoelectricity fuel cost function, by fired power generating unit fuel cost argument of function unit Changed power section [PG,iMin,PG,iMax] n equal part, nonlinear fuel cost function linearize in each equal segments close Seemingly, principle is as shown in Figure 3
For the linear segmented slope of fuel cost,For power PG,itSegmentation variable, n is specified piecewise interval Number, k be piecewise interval relative to call number, i.e., constant 1 arrive n.
S302: Unit Commitment and Climing constant linearization process
Recursive non-linear feature is presented in the constraint condition of minimum start-stop time, if directly there are difficulty for Optimization Solution, needs This complicated nonlinear complementary problem is converted into simple linear restriction of equal value, then is solved.
Linearization process: uitIndicate that unit i indicates that unit is in operating status in the operating status of t moment, 1,0 indicates machine Group is in shutdown status;yit、zitIndicate beginning on/off state of the unit i in t moment, yit=1 expression unit, which is in, to be opened Beginning starting state, zit=1, which indicates that unit is in, starts shutdown status.
About above-mentioned constraint, it is described as follows:
1, the power of unit i remains less than power capacity, i.e.,
If 2, unit is shut down at next hour (t+1),Because of PG,it+1=0, PG,itNo more than SDiValue;
If 3, unit is in (u in operating status of previous hourit-1=1), and continue to remain operational state, then PG,itCompared to PG,it-1Growth can not be more than RUi.I.e.
If 4, unit is in close state (u in previous hourit-1=0), and in t moment start starting operation yit =1, then PG,itIt can not be more than SUi, i.e.,
To sum up situation constitutes part (b) in constraint (13), and the part (c) similarly can be obtained.
The minimum of unit i stops machine time-constrain
The minimum runing time of unit i constrains
The minimum downtime of unit i constrains
In formula, RUi、RDiRise for the climbing under unit i normal operating condition and the lower rate of deceleration limits;SUi、SDiFor machine Organize fall off rate limitation when climbing speed and the closing when i starting;UTi、DTiFor the minimum operation of unit i and downtime;It has initially been run for unit, downtime, uIt=0For unit initial operating state,P itIt indicates to consider creep speed With the unit minimax operational limit after the constraint of start and stop operating status;ζiIt is that runing time and minimum are continuous about unit Coupled relation between runing time, ζi=min { T, (UTi-Ui 0)uIt=0, ξiIt is about unit downtime and minimum Coupled relation between continuous downtime, ξi=min { T, (DTi-Si 0)(1-uIt=0)}。
S303: trend constraint linearisation, in Unit Commitment and economic load dispatching, general use ignores network loss DC power flow constraint, has the characteristics that linearisation and rapidity, but only account for the relationship of trend and voltage phase angle, accuracy is not The description of height, especially voltage and reactive power.
Different from conventional DC flow model, reactive power and voltage constraint are considered here, is obtained using linearization approximate
Node voltage meets V ≈ 1.0p.u. to be had according to the expansion of reciprocal function: 1/V ≈ 2-V, substitutes into above formula equal sign The linearisation of node active balance equation can be obtained in left side are as follows:
B′ijWith BijDifference be to be eliminated in element from susceptance bii;Similarly, node reactive power equilibrium equation linearizes For
Linearisation Branch Power Flow equation can similarly be obtained
In step s 4, exact linearization method peak regulation Optimized model is solved using branch and bound method, obtains unit output arrangement, Specifically include following content: initialization model parameter, including optimized variable initial value, objective function and constraint equation coefficient value, Constraint condition upper limit value and lower limit value call the CPLEX solver based on branch and bound method to solve linearisation peak regulation optimization mould Type obtains the power output arrangement of each unit.
Compared to the prior art, the beneficial effects of the present invention are:
1) present invention comprehensively considers the power generation characteristics of the different types power supply such as nuclear power, thermoelectricity, water power, pneumoelectric, pumped storage, establishes Consider that nuclear power participates in the peak-load regulating Optimized model of peak regulation, provides Optimized Operation strategy for polymorphic type power supply in electric system;
2) present invention sufficiently takes into account model solvability and required precision, carries out to non-linear hybrid integration plan model accurate Linearization process, significantly reduces the solution difficulty of model, while having ensured the optimality of model optimization result.
Detailed description of the invention
Fig. 1 is structure flow chart of the invention;
Fig. 2 is that nuclear power unit participates in peak regulation " 12-3-6-3 " operational mode;Abscissa represents whole day 24 hours in figure, indulges Coordinate value 100% represents Operation at full power, and ordinate value 70% represents nuclear power unit and is in 70% Operation at full power state;
Fig. 3 is the piece-wise linearization schematic diagram of fuel cost function of the present invention;Abscissa represents unit in figure Power is run, ordinate represents the fuel cost of unit, and abscissa unit is run power n equal part, and the combustion to each equal segments Material curve is linearized.
Specific embodiment
With reference to the accompanying drawing, technical solution of the present invention is specifically described.
As shown in Figure 1, a kind of electric system peak regulation Optimization Scheduling based on exact linearization method power network model, packet Include following steps:
Step S1: with 24 hours for dispatching cycle, power system load demand data, each Generator Unit Operating Parameters are obtained And the conveying constraint of each route of cost coefficient, power grid.
Acquired power system load demand data refers specifically to system loading predicted value in 24 hours following, predicted time Between be divided into 15 minutes;Acquired Generator Unit Operating Parameters specifically include: nuclear power peaking operation characteristic, water power, thermoelectricity, core All kinds of unit ramping rate constraints such as electricity, combustion gas, pumped storage, all kinds of unit minimum start and stop constraints;Generating set cost coefficient is specific It include: thermoelectricity fuel cost, thermoelectricity peak regulation cost, thermoelectricity start-up and shut-down costs, nuclear power peak regulation cost;Each route of acquired power grid is defeated Sending constraint includes the active power constraint of each route in power grid, transformer.
Step S2: according to acquired parameter, the polymorphic type power supply combined adjusting peak Optimized model containing nuclear power is established;
The polymorphic type power supply combined adjusting peak Optimized model containing nuclear power established, is a nonlinear mixed-integer programming mould Type, form are as follows:
Wherein x1、x2For the optimized variable of optimal load flow mathematical model, dimension is respectively n1、n2, wherein x1For continuous variable, x2For discrete integer variable, f (x1,x2) be optimal load flow mathematical model objective function, H (x1,x2) it is equality constraint intersection, dimension Degree is m, G (x1,x2) it is inequality constraints intersection, dimension s, Gmax、GminThe respectively upper lower limit value of inequality constraints.
Polymorphic type power supply combined adjusting peak Optimized model proposed by the present invention containing nuclear power, the table of objective function OF in (1) formula Up to formula are as follows:
Wherein, T=24h is a dispatching cycle, m0、m1Respectively thermoelectricity, nuclear power unit number;For thermoelectricity combustion Expect cost, whereinai、bi、ciFor cost coefficient, PG,it、PN,itIt is thermoelectricity, nuclear power unit i in t The activity of force to be found out at moment;For the opening of fired power generating unit, stop cost, wherein STCG,it =stiyit, SDCG,it=sdizit, sti、sdiThe respectively starting of unit i, shutdown cost coefficient, yit、zitIndicate unit i in t The beginning on/off state at moment;For thermoelectricity peak regulation cost,For nuclear power Peak regulation cost, PN,iMaxFor the maximum output power of nuclear power unit i, CG、CNRespectively thermoelectricity depth peak regulation and nuclear power peak regulation cost Coefficient, for the nuclear power unit of CPR1000 heap-type, CN=71 yuan/MWh.
Polymorphic type power supply combined adjusting peak Optimized model proposed by the present invention containing nuclear power, optimized variable includes fire in (1) formula Electricity, to be found out activity of force of the nuclear power unit i in t moment, startup-shutdown state.
Polymorphic type power supply combined adjusting peak Optimized model proposed by the present invention containing nuclear power, constraint condition includes: in (1) formula
S201: power-balance constraint
The sum of thermoelectricity, the nuclear power unit power output of t period whole, P are indicated in formula on the left of equationL,tFor the load of system t period Demand.
S202: spinning reserve constraint
P in formulart, P 'rtRespectively positive and negative stand-by requirement of the system in t moment, P 'G,iMinIt is that fired power generating unit i is participated in substantially Power output lower limit of the power when peak regulation, (4) formula mainly consider to be provided by fired power generating unit spare.
S203: the operation constraint of nuclear power
The power producing characteristics curve of nuclear power meets the peak regulation mode of " 12-3-6-3 ", i.e. 12 hours Operation at full power, and then 3 Hour downrating is kept for low power run 6 hours, then 3 hours power per liter are run to full power shape to low power state State completes a peak regulation period.
Service capacity curve is expressed as:
PN,it=eitPN,iMax+fitPN,iMin+git(PN,iMin+ΔPN,i)+hit(PN,iMin+2ΔPN,i) (5)
In formula: eit, fit, git, hitIt indicates power operating states mark, is { 0,1 } variable;Ti e, Ti fIndicate most Grain Full function Rate operation time and minimum low power run time value, PN,iMin、PN,iMaxIndicate minimum, the maximum output function of nuclear power unit i Rate, Δ PN,iIndicate the power variation of nuclear power unit hour.
S204: the depth peak regulation constraint of nuclear power
ηit=(PN,iMax-PN,it)/PN,iMax≤ηmax (7)
The type of reactor of nuclear power unit, unit capacity are different, have different peak regulation depth threshold ηmax
S205: fired power generating unit depth peak regulation constraint
Unit output bound constraint: PG,iMin≤PG,it≤PG,iMax
(8)
It needs to meet when fired power generating unit depth peak regulation:
P′G,iMin≤PG,it≤PG,iMax (9)
The peak regulation state of thermoelectricity is divided into basic peak regulation and depth peak regulation, only reach certain peak regulation depth just give peak regulation at This compensation, P 'G,iMinIndicate power output lower limit when thermoelectricity participates in basic peak regulation, i.e., known paid peak regulation threshold value, PG,itIndicate to Power output of the fired power generating unit i asked in t moment, PG,iMin、PG,iMaxFor known fired power generating unit i power output bound.
S206: Unit Ramp Rate constraint | PG,it-PG,it-1|≤Δi;Wherein, ΔiIndicate creep speed.
S207: Line Flow constraint
For a n node system, the node power flow equation of AC power flow is
Wherein, subscript i, j respectively indicates node i, j, Pi、QiThe respectively active power and reactive power of node i, Gij、 BijTransconductance and mutual susceptance respectively between node i and node j, Vi、VjIndicate node voltage amplitude, θijPhase angle between expression node Difference.
Step S3: carrying out exact linearization method processing to model, obtains linearisation peak regulation scheduling optimization model;
Specifically include following content:
S301: the piece-wise linearization of thermoelectricity fuel cost function, by fired power generating unit fuel cost argument of function unit Changed power section [PG,iMin,PG,iMax] n equal part, nonlinear fuel cost function linearize in each equal segments close Seemingly, principle is as shown in Figure 3
For the linear segmented slope of fuel cost,For power PG,itSegmentation variable, n is specified piecewise interval Number, k be piecewise interval relative to call number, i.e., constant 1 arrive n.
S302: Unit Commitment and Climing constant linearization process
Recursive non-linear feature is presented in the constraint condition of minimum start-stop time, if directly there are difficulty for Optimization Solution, needs This complicated nonlinear complementary problem is converted into simple linear restriction of equal value, then is solved.
Linearization process: uitIndicate that unit i indicates that unit is in operating status in the operating status of t moment, 1,0 indicates machine Group is in shutdown status;yit、zitIndicate beginning on/off state of the unit i in t moment, yit=1 expression unit, which is in, to be opened Beginning starting state, zit=1, which indicates that unit is in, starts shutdown status.
About above-mentioned constraint, it is described as follows:
1, the power of unit i remains less than power capacity, i.e.,
If 2, unit is shut down at next hour (t+1),Because of PG,it+1=0, PG,itNo more than SDiValue;
If 3, unit is in (u in operating status of previous hourit-1=1), and continue to remain operational state, then PG,itCompared to PG,it-1Growth can not be more than RUi.I.e.
If 4, unit is in close state (u in previous hourit-1=0), and in t moment start starting operation yit =1, then PG,itIt can not be more than SUi, i.e.,
To sum up situation constitutes part (b) in constraint (13), and the part (c) similarly can be obtained.
The minimum of unit i stops machine time-constrain
The minimum runing time of unit i constrains
The minimum downtime of unit i constrains
In formula, RUi、RDiRise for the climbing under unit i normal operating condition and the lower rate of deceleration limits;SUi、SDiFor machine Organize fall off rate limitation when climbing speed and the closing when i starting;UTi、DTiFor the minimum operation of unit i and downtime;It has initially been run for unit, downtime, uIt=0For unit initial operating state,P itIt indicates to consider creep speed With the unit minimax operational limit after the constraint of start and stop operating status;ζiIt is that runing time and minimum are continuous about unit Coupled relation between runing time, ζi=min { T, (UTi-Ui 0)uIt=0, ξiIt is about unit downtime and minimum Coupled relation between continuous downtime, ξi=min { T, (DTi-Si 0)(1-uIt=0)}。
S303: trend constraint linearisation, in Unit Commitment and economic load dispatching, general use ignores network loss DC power flow constraint, has the characteristics that linearisation and rapidity, but only account for the relationship of trend and voltage phase angle, accuracy is not The description of height, especially voltage and reactive power.
Different from conventional DC flow model, reactive power and voltage constraint are considered here, is obtained using linearization approximate
Node voltage meets V ≈ 1.0p.u. to be had according to the expansion of reciprocal function: 1/V ≈ 2-V, substitutes into above formula equal sign The linearisation of node active balance equation can be obtained in left side are as follows:
B′ijWith BijDifference be to be eliminated in element from susceptance bii;Similarly, node reactive power equilibrium equation linearizes For
Linearisation Branch Power Flow equation can similarly be obtained
Step S4: initialization model parameter, including optimized variable initial value, objective function and constraint equation coefficient value, about Beam condition upper limit value and lower limit value call the CPLEX solver based on branch and bound method to solve the linearisation peak regulation Optimized model, Obtain the power output arrangement of each unit.
The above are preferred embodiments of the present invention, all any changes made according to the technical solution of the present invention, and generated function is made When with range without departing from technical solution of the present invention, all belong to the scope of protection of the present invention.

Claims (7)

1. a kind of electric system peak regulation Optimization Scheduling based on exact linearization method power network model, which is characterized in that packet Include following steps:
Step S1: power system load demand data, each Generator Unit Operating Parameters and each route of cost coefficient, power grid are obtained Convey bound data;
Step S2: according to acquired supplemental characteristic, the polymorphic type power supply combined adjusting peak Optimized model containing nuclear power is established;
Step S3: carrying out exact linearization method processing to polymorphic type power supply combined adjusting peak Optimized model, obtains linearisation peak regulation scheduling Optimized model;
Step S4: initialization linearisation peak regulation scheduling optimization model parameters solve exact linearization method using branch and bound method Peak regulation Optimized model obtains unit output arrangement.
2. a kind of linear tidal current computing method of three-phase polar coordinate system applied to active distribution network according to claim 1, It is characterized by: acquired power system load demand data refers specifically to system loading predicted value in 24 hours following, prediction Time interval is 15 minutes;The Generator Unit Operating Parameters specifically include: nuclear power peaking operation characteristic, water power, thermoelectricity, core Electricity, combustion gas, pumped storage unit ramping rate constraints, unit minimum start and stop constraint;The generating set cost coefficient specifically includes: fire Electric fuel cost, thermoelectricity peak regulation cost, thermoelectricity start-up and shut-down costs, nuclear power peak regulation cost;Each route conveying of power grid, which constrains, includes The active power constraint of route, transformer in power grid.
3. a kind of linear tidal current computing method of three-phase polar coordinate system applied to active distribution network according to claim 1, It is characterized by: in step S2 specifically: the polymorphic type power supply combined adjusting peak Optimized model containing nuclear power established, is one non- Linear mixed integer programing model, form are as follows:
Wherein x1、x2For the optimized variable of optimal load flow mathematical model, dimension is respectively n1、n2, wherein x1For continuous variable, x2For Discrete integer variable, f (x1,x2) be optimal load flow mathematical model objective function, H (x1,x2) it is equality constraint intersection, dimension For m, G (x1,x2) it is inequality constraints intersection, dimension s, Gmax、GminThe respectively upper lower limit value of inequality constraints.
4. the polymorphic type power supply combined adjusting peak Optimized model containing nuclear power according to claim 3, it is characterised in that:
The expression formula of the objective function OF of the polymorphic type power supply combined adjusting peak Optimized model containing nuclear power are as follows:
Wherein, T=24h is a dispatching cycle, m0、m1Respectively thermoelectricity, nuclear power unit number;For thermoelectricity fuel at This, whereinai、bi、ciFor cost coefficient, PG,it、PN,itIt is thermoelectricity, nuclear power unit i in t moment Activity of force to be found out;For the opening of fired power generating unit, stop cost, wherein STCG,it= stiyit, SDCG,it=sdizit, sti、sdiThe respectively starting of unit i, shutdown cost coefficient, yit、zitIndicate unit i in t The beginning on/off state at quarter;For thermoelectricity peak regulation cost,For nuclear power tune Peak cost, PN,iMaxFor the maximum output power of nuclear power unit i, CG、CNRespectively thermoelectricity depth peak regulation and nuclear power peak regulation cost system Number, for the nuclear power unit of CPR1000 heap-type, CN=71 yuan/MWh;The optimized variable of model includes thermoelectricity, nuclear power unit i in t The activity of force to be found out at moment, startup-shutdown state.
5. the polymorphic type power supply combined adjusting peak Optimized model containing nuclear power according to claim 3, it is characterised in that: described to contain core The constraint condition of polymorphic type power supply combined adjusting peak Optimized model of electricity includes:
S501: power-balance constraint
The sum of thermoelectricity, the nuclear power unit power output of t period whole, P are indicated in formula on the left of equationL,tIt is needed for the load of system t period It asks;
S502: spinning reserve constraint
P in formulart, P 'rtRespectively positive and negative stand-by requirement of the system in t moment, P 'G,iMinIt is that fired power generating unit i participates in basic peak regulation When the power output lower limit of the power, (4) formula mainly considers to be provided by fired power generating unit spare;
S503: the operation constraint of nuclear power
The peak regulation mode of the power producing characteristics curve satisfaction " 12-3-6-3 " of nuclear power, i.e. 12 hours Operation at full power, then 3 hours Downrating is kept for low power run 6 hours, then 3 hours power per liter are run to full power state, complete to low power state At a peak regulation period;
Service capacity curve is expressed as:
PN,it=eitPN,iMax+fitPN,iMin+git(PN,iMin+ΔPN,i)+hit(PN,iMin+2ΔPN,i) (5)
In formula: eit, fit, git, hitIt indicates power operating states mark, is { 0,1 } variable;Ti e, Ti fIndicate minimum full power fortune Row time value and minimum low power run time value, PN,iMin、PN,iMaxIndicate minimum, the maximum output power of nuclear power unit i, Δ PN,iIndicate the power variation of nuclear power unit hour;
S504: the depth peak regulation constraint of nuclear power
ηit=(PN,iMax-PN,it)/PN,iMax≤ηmax (7)
The type of reactor of nuclear power unit, unit capacity are different, have different peak regulation depth threshold ηmax
S505: fired power generating unit depth peak regulation constraint
Unit output bound constraint: PG,iMin≤PG,it≤PG,iMax (8)
It needs to meet when fired power generating unit depth peak regulation:
P′G,iMin≤PG,it≤PG,iMax (9)
The peak regulation state of thermoelectricity is divided into basic peak regulation and depth peak regulation, only reaches certain peak regulation depth and just gives peak regulation cost benefit It repays, P 'G,iMinIndicate power output lower limit when thermoelectricity participates in basic peak regulation, i.e., known paid peak regulation threshold value, PG,itIt indicates to be asked Power output of the fired power generating unit i in t moment, PG,iMin、PG,iMaxFor known fired power generating unit i power output bound;
S506: Unit Ramp Rate constraint | PG,it-PG,it-1|≤Δi;Wherein, ΔiIndicate creep speed;
S507: Line Flow constraint
For a n node system, the node power flow equation of AC power flow is
Wherein, subscript i, j respectively indicates node i, j, Pi、QiThe respectively active power and reactive power of node i, Gij、BijPoint Transconductance and mutual susceptance not between node i and node j, Vi、VjIndicate node voltage amplitude, θijPhase angle difference between expression node.
6. a kind of linear tidal current computing method of three-phase polar coordinate system applied to active distribution network according to claim 1, It is characterized by: the step S3 specifically:
S301: the piece-wise linearization of thermoelectricity fuel cost function, by the fired power generating unit fuel cost argument of function power of the assembling unit Constant interval [PG,iMin,PG,iMax] n equal part, linearization approximate is carried out to nonlinear fuel cost function in each equal segments
For the linear segmented slope of fuel cost,For power PG,itSegmentation variable, n is specified piecewise interval number, k For piecewise interval relative to call number, i.e., constant 1 arrive n;
S302: Unit Commitment and Climing constant linearization process
Recursive non-linear feature is presented in the constraint condition of minimum start-stop time, if directly Optimization Solution is needed there are difficulty by this The nonlinear complementary problem of a complexity is converted into simple linear restriction of equal value, then is solved.
Linearization process: uitIndicate that unit i indicates that unit is in operating status in the operating status of t moment, 1,0 indicates at unit In shutdown status;yit、zitIndicate beginning on/off state of the unit i in t moment, yit=1 expression unit, which is in, to be started to open Dynamic state, zit=1, which indicates that unit is in, starts shutdown status.
The minimum of unit i stops machine time-constrain
The minimum runing time of unit i constrains
The minimum downtime of unit i constrains
In formula, RUi、RDiRise for the climbing under unit i normal operating condition and the lower rate of deceleration limits;SUi、SDiIt is opened for unit i Fall off rate limitation when climbing speed when dynamic and closing;UTi、DTiFor the minimum operation of unit i and downtime; It has initially been run for unit, downtime, uIt=0For unit initial operating state,P itIt indicates to consider creep speed and start and stop Unit minimax operational limit after operating status constraint;ζiIt is about unit runing time and when minimum continuous operation Between between coupled relation, ζi=min { T, (UTi-Ui 0)uIt=0, ξiBe about unit downtime with minimum continuously stop Coupled relation between the machine time, ξi=min { T, (DTi-Si 0)(1-uIt=0)};
S303: trend constraint linearisation is general using the direct current for ignoring network loss in Unit Commitment and economic load dispatching Trend constraint has the characteristics that linearisation and rapidity, but only accounts for the relationship of trend and voltage phase angle, and accuracy is not high, The especially description of voltage and reactive power.
Different from conventional DC flow model, reactive power and voltage constraint are considered here, is obtained using linearization approximate:
Node voltage meets V ≈ 1.0p.u. to be had according to the expansion of reciprocal function: 1/V ≈ 2-V, is substituted on the left of above formula equal sign, The linearisation of node active balance equation can be obtained are as follows:
B′ijWith BijDifference be to be eliminated in element from susceptance bii;Similarly, node reactive power equilibrium equation linearly turns to
Linearisation Branch Power Flow equation can similarly be obtained
7. a kind of linear tidal current computing method of three-phase polar coordinate system applied to active distribution network according to claim 1, It is characterized by: the step S4 specifically:
Step S401: initialization model parameter, including optimized variable initial value, objective function and constraint equation coefficient value, constraint Condition upper limit value and lower limit value;
Step S402: calling the CPLEX solver based on branch and bound method to solve the linearisation peak regulation Optimized model, obtains each The power output arrangement of unit.
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