CN104537435B - Distributed power source Optimal Configuration Method based on user side economic index - Google Patents

Distributed power source Optimal Configuration Method based on user side economic index Download PDF

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CN104537435B
CN104537435B CN201410801949.1A CN201410801949A CN104537435B CN 104537435 B CN104537435 B CN 104537435B CN 201410801949 A CN201410801949 A CN 201410801949A CN 104537435 B CN104537435 B CN 104537435B
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CN104537435A (en
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谢东
杜治
张籍
刘美华
专祥涛
康巧萍
张轩昂
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State Grid Corp of China SGCC
Wuhan University WHU
Economic and Technological Research Institute of State Grid Hubei Electric Power Co Ltd
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State Grid Corp of China SGCC
Wuhan University WHU
Economic and Technological Research Institute of State Grid Hubei Electric Power Co Ltd
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    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06QINFORMATION AND COMMUNICATION TECHNOLOGY [ICT] SPECIALLY ADAPTED FOR ADMINISTRATIVE, COMMERCIAL, FINANCIAL, MANAGERIAL OR SUPERVISORY PURPOSES; SYSTEMS OR METHODS SPECIALLY ADAPTED FOR ADMINISTRATIVE, COMMERCIAL, FINANCIAL, MANAGERIAL OR SUPERVISORY PURPOSES, NOT OTHERWISE PROVIDED FOR
    • G06Q10/00Administration; Management
    • G06Q10/04Forecasting or optimisation specially adapted for administrative or management purposes, e.g. linear programming or "cutting stock problem"
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06QINFORMATION AND COMMUNICATION TECHNOLOGY [ICT] SPECIALLY ADAPTED FOR ADMINISTRATIVE, COMMERCIAL, FINANCIAL, MANAGERIAL OR SUPERVISORY PURPOSES; SYSTEMS OR METHODS SPECIALLY ADAPTED FOR ADMINISTRATIVE, COMMERCIAL, FINANCIAL, MANAGERIAL OR SUPERVISORY PURPOSES, NOT OTHERWISE PROVIDED FOR
    • G06Q50/00Systems or methods specially adapted for specific business sectors, e.g. utilities or tourism
    • G06Q50/06Electricity, gas or water supply

Abstract

The invention discloses a kind of distributed power source Optimal Configuration Method based on user side economic index, it is related to power system distributed generation technology field.This method is first with the minimum target of user cost, with reference to each unit operation constraints, establish the mathematical modeling of optimization problem, obtain the income and cost of user side and grid side, change the capacity of each distributed power source again and power is brought into Optimized model and calculated, corresponding income and cost are obtained, and neutral net is trained in this, as input and output, so as to obtain optimal distributed power source capacity and power.Advantage is:Give the economic analysis and appraisal procedure of the Grid-connected Distributed Generation Power System based on user side economic index, obtain the allocation optimum for making user make a profit maximum, economic evaluation has also been carried out to supply side on this basis, the optimization problem of system is reduced to linear programming problem, simplify calculating, give comparison comprehensively and system Economic Analysis Method, have engineering promotional value.

Description

Distributed power source Optimal Configuration Method based on user side economic index
Technical field
The invention belongs to power system distributed generation technology field, and in particular to one kind is based on user side economic index Distributed power source Optimal Configuration Method.
Background technology
With becoming increasingly conspicuous for global environment and energy problem, environment-friendly and economic distributed power generation more obtains Concern.The system combined by distributed power source and energy storage device, while distributed power source generates electricity, due to energy storage device Addition, make system energy flow control it is more flexible, can according to used in the output electric energy of distributed power source and user electricity price Situation controls the type of flow of energy, and such system can reduce terminal user's expense, improve the quality of power supply, safeguard power network Stable operation, while have it is environment-friendly, regenerate sustainable use the advantages of, be Future New Energy Source development with popularization it is important Direction.Because different distributed power sources have different qualities, the scope that it is applicable is also different, and user need to be according to place Region and environmental quality, suitable distributed power source is selected to access power network.At following 10 years, intelligent residential district in city with it is small-sized The small-scale distributed power source that enterprise is best suitable for using is photovoltaic generation, miniature gas turbine.
In user side, power network is accessed for distributed power source, if can be the problem of user brings interests to be first concern, So the Optimal Configuration Method of set of system and the convenient distributed power source calculated is needed to help to assess and analysis distribution formula electricity The economy and reliability in source.The research in terms of distributed power source is concentrated mainly on both at home and abroad at present the economic load dispatching of system with In terms of the addressing constant volume of power supply, lack a set of comparison system and complete economic analysis and evaluation scheme;In optimized algorithm side Face, mostly by for distributed power source, energy storage device founding mathematical models, with the gross investment of system at least for object function, with The reliability service of power network is constraints, and to determine dispatching method and constant volume, but the elder generations of algorithms are more focused in these researchs The property entered, causes to calculate that cumbersome and result confidence level is not high, and engineering practice is not strong, and promotional value is not high.
Therefore, establish a set of fairly perfect, and calculate simple, be easy to the optimization of distributed power source promoted in engineering Collocation method, it is very urgent for future world greatly develops new energy.
For the mathematical modeling of photovoltaic and miniature gas turbine, can be determined according to existing method.
1) photovoltaic array:
PPV=η * S*R* [1-0.005 (T-25)]
S=PPVm/PPVm1
Wherein, PPVFor the power output of photovoltaic array, η is the specified conversion efficiency of photovoltaic, and S is the area of photovoltaic array (m2), R is the solar irradiation intensity (W/m in photovoltaic module inclined plane2), T is photovoltaic module temperature (degree Celsius);PPVm1To be every The peak power output of square metre photovoltaic (see manufacturer's technical parameter);PPVmThe maximum work output of the photovoltaic array used for user Rate.
Thus model is visible, simply enters the specified efficiency eta of photovoltaic, the area S of photovoltaic array, and photovoltaic module tilts Solar irradiation intensity R on face, photovoltaic module temperature T, it is possible to obtain the power output of photovoltaic array.For giving model Photovoltaic module, its performance parameter-photovoltaic peak power PPVmIt is directly proportional to area S.(YonaA, Senjyu T, Funabashi T.Application ofrecurrent neural networkto short-term-ahead generatingpower forecasting for photovoltaic system[C].IEEE Power Engineering Society General Meeting, 2007).
2) miniature gas turbine
The coefficients such as the miniature gas turbine for giving model, efficiency, specific heat capacity, loss coefficient, regenerator effectiveness, expansion ratio, It can be obtained from the technical parameter of gas turbine, or exemplary reference value obtains from engineering, in order to simplify gas turbine mould Type is easy to calculate, compressor inlet air pressure P1, entering air temperature T1, inlet air flow rate Gk, the delivery temperature of regenerator T4aExemplary reference value can be taken.So it need to only input entry of combustion chamber fuel flow rate Gf, it is possible to obtain the gas turbine Power output PiAnd caused heat Q (t)i(t).In other words, gas turbine model is given, then its generating efficiency is also just true It is fixed, put into a certain amount of fuel to combustion chamber, what the output of electricity and heat was just to determine, and can be by following linear relationship table Show:
Pi(t)=m × Gf(t)
Wherein Gf(t) it is entry of combustion chamber fuel flow rate;Pi(t) it is the power output of gas turbine, Qi(t) it is combustion gas wheel The output heat energy of machine, m, n are constant (depending on miniature gas turbine model).(Ma Wanling, it is miniature in distributed energy resource system The research [D] of gas turbine cogeneration of heat and power, HeFei University of Technology, 2008.3 (16-26))
Neutral net is a kind of algorithm number for imitating animal nerve network behavior feature, carrying out distributed parallel information processing Learn model.This network relies on the complexity of system, by adjusting the relation being connected with each other between internal great deal of nodes, so as to Reach the purpose of processing information.Neutral net is trained with sample, that is, sets the structure of network, the tax of each neuron is lived letter Number, and the training parameter such as function and learning rate, after initializing network, are input to neutral net with sample input value, obtain phase After the output answered compared with the output valve of sample, according to error come corrective networks, by certain number and the instruction of a period of time Practice, error reaches i.e. training in preset range and finished, and the neutral net obtained with this can input in very accurate analog sample Relation between output.
Genetic algorithm is according to the mathematical modeling of nature biotechnology chromosome evolution, and it is the gene for imitating chromosome certainly Selected, intersected and made a variation during so evolving generation population of future generation.Neutral net optimal value is searched with genetic algorithm The step of operation is:The dimension and object function of input variable are determined, gives the span of input variable, determines that population is advised Mould, maximum genetic algebra, optimization aim precision, and the parameter such as selection crossover operator.The calculating of software can thus be passed through Export and inputted corresponding to the optimal value and optimal value of object function.
The content of the invention
The invention provides a kind of distributed power source Optimal Configuration Method based on user side economic index, this method are first First with the minimum target of user cost, with reference to each unit operation constraints, the mathematical modeling of optimization problem is established, obtains user Side and the income and cost of grid side, then change the capacity of each distributed power source and power is brought into Optimized model and calculated, obtain Corresponding income and cost, and neutral net is trained in this, as input and output, so as to obtain optimal distributed power source capacity And power.Advantage is:System optimization scheduling model is constructed, gives the distributed power source based on user side economic index simultaneously The economic analysis and appraisal procedure of net system, and the allocation optimum for making user make a profit maximum is obtained, while on this basis Also economic evaluation has been carried out for supply side.The optimization problem of system is wherein reduced to linear programming problem, enormously simplify Calculate, and give comparison comprehensively and system Economic Analysis Method, have engineering promotional value.
In order to achieve the above object, the present invention adopts the following technical scheme that:
1st, a kind of distributed power source Optimal Configuration Method based on user side economic index, it is characterised in that this method Comprise the steps of:
A, user is determined, photovoltaic, miniature gas cogeneration units, battery and water storage as used in determining user The specification and model of case, the index listed by table 1 are the value of determination,
The input quantity of table 1
Cogeneration of heat and power operational mode, photovoltaic peak power P are determined againPVm, miniature gas turbine installation number N, battery appearance AmountWith heat storage water tank capacity Htotal
B, establish using user cost be minimised as the mathematical modeling of target as:
Object function minf=fgas+fgrid+fa-Ql+fa-Qs+fa-Ps+fP-loss+fQ-loss
Wherein:F represents user's operating cost of 24 hours, fgasIt is natural to represent that miniature gas turbine is consumed for 24 hours Gas cost, fgridRepresent user's electricity charge paid to power network of 24 hours, fa-Ql24 hours punishment costs for abandoning thermic load are represented, fa-QsRepresent the unnecessary punishment cost of the heat production of 24 hours, fa-PsRepresent the unnecessary punishment cost of the electricity production of 24 hours, fP-lossIt is The punishment cost of battery discharge and recharge simultaneously, fQ-lossIt is the punishment cost of heat storage water tank heat supply simultaneously and heat accumulation;
Wherein CnRepresent the unit price of natural gas;N represents the gas turbine quantity of installation, Gf(k) k-th of sampling instant is represented The air inflow of gas turbine, Δ T are the sampling time;
Wherein Cgrid(k) represent k-th of sampling instant power network to the electricity price of user's sale of electricity, Pgrid(k) k-th of sampling is represented The electric energy that moment power network provides a user, Δ T are the sampling time;
Wherein Ca-QlThermic load penalty factor, Q are abandoned in expressionabanl(k) represent that thermic load amount is abandoned in k-th of sampling instant, Δ T is Sampling time;
Wherein Ca-QsRepresent the unnecessary penalty factor of heat production, Qabans(k) k-th of sampling instant heat production margin is represented, Δ T is Sampling time;
Wherein Ca-PsRepresent to produce electricity unnecessary penalty factor, Pabans(k) k-th of sampling instant electricity production margin is represented, Δ T is Sampling time;
Wherein CP-lossRepresent the penalty factor of battery discharge and recharge simultaneously artificially set, Pba-dis(k) when representing k-th Carve the discharge power of battery, Pba-ch(k) charge power of k-th of moment battery, η are represented1Represent the charging effect of battery Rate, η2The discharging efficiency of battery is represented, Δ T is the sampling time;
Wherein CP-loss=2*Ca-Ps, due to Pba-dis(k),Pba-ch(k) battery discharging power and charge power are used as, must P must be met at momentba-dis(k)*Pba-ch(k)=0, directly calculated if this constraints is put into model, this is planned to one Non-Linear Programming, calculating can be extremely complex, and obtained solution does not have reliability yet, but is set up if this problem be converted into CP-loss=2*Ca-Ps, then producing electricity margin can directly bleed off, and will not be disappeared by way of battery simultaneously discharge and recharge off-energy Consumption, also ensures that Pba-dis(k)*Pba-ch(k)=0.
Wherein CQ-lossRepresent heat storage water tank heat accumulation and the penalty factor of heat supply, and C simultaneously artificially setQ-loss=2* Ca-Qs;Qtank-sup(k) heating power of k-th of moment heat storage water tank, Q are representedtank-sto(k) k-th of moment heat storage water tank is represented Heat accumulation power, η3Represent the heat accumulation efficiency of heat storage water tank, η4The heating efficiency of heat storage water tank is represented, Δ T is the sampling time;Its Middle CQ-loss=2*Ca-Qs.Due to Qtank-supAnd Q (k)tank-sto(k) heating power and heat accumulation power as heat storage water tank, it is necessary to Moment meets Qtank-sup(k)*Qtank-sto(k)=0, directly calculated if this constraints is put into model, this is planned to one Individual Non-Linear Programming, calculating can be extremely complex, and obtained solution does not have reliability yet, but is set if this problem be converted into Vertical CQ-loss=2*Ca-Qs, then heat production margin can directly bleed off, will not pass through heat storage water tank simultaneously heat accumulation and this loss of heat supply The mode of energy consumes, it is possible to ensures Qtank-sup(k)*Qtank-sto(k)=0.
Constraints one
Electric energy balance constrains PPV(k)+Pgrid(k)+Pba-dis(k)-Pba-ch(k)+N*Pi(k)=Pl(k)+Pabans(k)
Wherein PPV(k) the output electric energy of k-th of moment photovoltaic array prediction, P are representedgrid(k) k-th of moment power network is represented The electric energy supplied to user, Pba-dis(k) discharge power of k-th of moment battery, P are representedba-ch(k) represent that k-th of moment stores The charge power of battery, N represent the gas turbine quantity of user installation, Pi(k) the defeated of k-th of moment single gas turbine is represented Go out power, Pl(k) the prediction power load of k-th of moment user, P are representedabans(k) k-th of moment electricity production margin is represented;
Wherein Pi(k)=m*Gf(k), Gf(k) it is gas turbine inlet fuel flow rate, m is true by miniature gas turbine model Fixed constant;
Constraints two
Thermal energy balance constrains N*Qi(k)-Qabans(k)+Qtank-sup(k)-Qtank-sto(k)=Ql(k)-Qabanl(k)
Wherein Qi(k) the output heat energy of k-th of moment single gas turbine, Q are representedabans(k) k-th of moment heat production is represented Margin, Qtank-sup(k) heating power of k-th of moment heat storage water tank, Q are representedtank-sto(k) k-th of moment water storage is represented The heat accumulation power of case, Ql(k) the prediction thermic load of k-th of moment user, Q are representedabanl(k) represent that k-th of moment abandons thermic load Amount, N represent the gas turbine quantity of installation;
WhereinPi(k) power output of k-th of moment single gas turbine is represented;M, n are by micro- The constant that type gas turbine model determines;
Constraints three
Miniature gas turbine operation constraint
Pi min≤Pi(k)≤Pi max
Wherein Pi minAnd Pi maxThe minimum and maximum power limit of gas turbine operation, P are represented respectivelyi(k) represent k-th Moment is single
The power output of individual gas turbine,Gas turbine creep speed limitation up and down is represented respectively;
Constraints four
Battery operation constraint
Es(k)=Es(k-1)+Pba-ch(k)*η1*ΔT-Pba-dis(k)/η2*ΔT
0≤Pba-ch(k)≤Ps max
0≤Pba-dis(k)≤Ps max
Wherein Es(k) dump energy of k-th of moment battery, P are representedba-dis(k) k-th moment battery is represented Discharge power, Pba-ch(k) charge power of k-th of moment battery, P are representeds maxRepresent the peak power limit of battery operation System, η1Represent the charge efficiency of battery, η2The discharging efficiency of battery is represented,The maximum energy storage of battery is represented, SOCminAnd SOCmaxThe minimum and maximum energy storage state of battery is represented respectively,Represent the initial energy storage state of battery;
Constraints five
Heat storage water tank operation constraint
H (k)=H (k-1)+Qtank-sto(k)*η3*ΔT-Qtank-sup(k)/η4*ΔT
Htotal*SOTmin≤H(k)≤Htotal*SOTmax
H0=SOTmin*Htotal
Wherein H (k) represents the dump energy of k-th of moment heat storage water tank, Qtank-sup(k) k-th of moment water storage is represented The heating power of case, Qtank-sto(k) the heat accumulation power of k-th of moment heat storage water tank is represented,WithHeat accumulation is represented respectively Water tank minimum and maximum runs power, HtotalRepresent the maximum stored energy capacitance of heat storage water tank, SOTminAnd SOTmaxStorage is represented respectively The minimum and maximum energy storage state of boiler, H0Represent the initial energy storage state of heat storage water tank;
Constraints six
Power network supply electric energy constraint
Wherein Pgrid(k) electric energy that k-th of moment power network is supplied to user is represented,Represent the maximum work of power network supply Rate limits;
Constraints seven
Miniature gas turbine is grid-connected two kinds of operational modes:Electricity determining by heat pattern and unlimited heating power mode.Wherein for The electricity determining by heat pattern of grid-connected cogeneration of heat and power has Qabanl(k)=0
Wherein Qabanl(k) represent that k-th of moment abandons thermic load amount;
The object function for meeting above-mentioned 7 constraints is solved, can obtain the daily Optimized Operation scheme of system;
Determine cogeneration of heat and power operational mode, photovoltaic peak power PPVm, miniature gas turbine installation number N, accumulator capacityWith heat storage water tank capacity Htotal, solve and meet the object function of above-mentioned 7 constraints, can obtain daily excellent of system Change scheduling scheme;
C, the income f of user side1Calculation formula it is as follows:
Wherein f1Represent user's income in 1 year, Pl(k) the prediction power load of k-th of sampling instant user is represented, CpvsubRepresent the subsidy that photovoltaic often generates a kilowatt, Ppv(k) generated output of photovoltaic, C are representedgrid(k) k-th of sampling instant is represented Price of the power network to user's sale of electricity;fYgasRepresent the gas cost that miniature gas turbine is consumed in 1 year;fYgridRepresent one The electricity charge that user pays to power network in year;fYa-QlThe punishment cost of thermic load is abandoned in expression in 1 year;fYa-QsRepresent heat production in 1 year Unnecessary punishment cost;fYa-PsRepresent to produce electricity unnecessary punishment cost in 1 year;Δ T is the sampling time;
Wherein CnRepresent the unit price of natural gas;N represents the gas turbine quantity of installation, Gf(k) k-th of sampling instant is represented The air inflow of gas turbine, Δ T are the sampling time;
Wherein Cgrid(k) represent k-th of sampling instant power network to the price of user's sale of electricity, Pgrid(k) k-th of sampling is represented The electric energy that moment power network provides a user, Δ T are the sampling time;
Wherein Ca-QlThermic load penalty factor, Q are abandoned in expressionabanl(k) represent that thermic load amount is abandoned in k-th of sampling instant, Δ T is Sampling time;
Wherein Ca-QsRepresent the unnecessary penalty factor of heat production, Qabans(k) k-th of sampling instant heat production margin is represented, Δ T is Sampling time;
Wherein Ca-PsRepresent to produce electricity unnecessary penalty factor, Pabans(k) k-th of sampling instant electricity production margin is represented, Δ T is Sampling time;
D, user side investment is cost f2Calculation formula it is as follows:
f2=fPV/nPV+fgas-turbine/ni+ftank/ntank+fbattery/nba
Wherein f2Expression is converted into the customer investment of 1 year;fpv=Cpv*PpvmRepresent the installation price of photovoltaic array;CpvTable Show photovoltaic per square meter price, PpvmRepresent the dressing amount of photovoltaic, nPVRepresent the service life of photovoltaic, fgas-turbine=Ci* N is represented The installation price of miniature gas turbine, CiThe price of gas turbine is represented, N represents the number of units of miniature gas turbine;niRepresent miniature The service life of gas turbine, ftank=Ctank*HtotalRepresent the installation price of heat storage water tank, CtankRepresent the list of heat storage water tank Valency, HtotalRepresent the capacity of heat storage water tank, ntankThe service life of heat storage water tank is represented,Represent electric power storage The installation price in pond, CbaThe unit price of battery is represented,Represent the capacity of battery, nbaRepresent the service life of battery;
E, grid side income f3Calculation formula it is as follows:
Wherein f3Power network income is represented,Represent the difference of the peak load of the grid-connected front and rear power network of distributed power source, Pl max The grid-connected preceding peak load of distributed power source is represented,Peak load after expression expression distributed power source is grid-connected, CtranRepresent The investment of every kilovolt-ampere of transformer and maintenance cost;
F, grid side income decrement is cost f4Calculation formula it is as follows:
Wherein f4Represent power network income decrement, Cplant-grid(k) thermal power plant's rate for incorporation into the power network, C are representedgrid(k) kth is represented Individual sampling instant power network is to the electricity price of user's sale of electricity, Pl(k) the prediction power load of k-th of moment user, P are representedgrid(k) table Show the electric energy that k-th of sampling instant power network provides a user, k is sampling instant, and Δ T is the sampling time;
When distributed power source combines:Photovoltaic peak power PPVm, miniature gas turbine installation number N, accumulator capacityHeat storage water tank capacity HtotalAfter it is determined that, the income and cost f1, f2, f3, f4 of available user side and grid side;
According to the following steps, using the capacity and power combination of different distributed power sources:
Wherein PPVmThe upper limitPl maxFor the maximum of user power utilization load;
0≤N≤Nmax
Wherein N upper limit Nmax=[Pl max/Pi max], Pi maxFor the peak power output of miniature gas turbine, [] expression pair Numerical value inside bracket rounds;
WhereinThe upper limitPl(k) it is the prediction of k-th of moment user Power load, Δ T are the sampling time;
0≤Htotal≤Htotalmax
The upper limit thereinQl(k) born for the pre- calorimetric of k-th of moment user Lotus, Δ T are the sampling time;
Change P according to the following stepsPVm,N,HtotalValue, obtain corresponding user side and grid side income and Cost f1, f2, f3, f4;
Step1.k=1;
Step2.i1=1;
Step3.i2=1;
Step4.i3=1;
Step5.i4=1;
Step6.
N (k)=i2;
Htotal(k)=(i4-1) * Htotalmax/20;
K=k+1;
By PPVm(k),N(k),Htotal(k) substitute into step b-f, obtain corresponding f1 (k), f2 (k), f3 (k), f4 (k) value;
Step7.i4=i4+1;
If i4≤21, return to step6;
Step8.i3=i3+1;
If i3≤21, return to step5;
Step9.i2=i2+1;
If i2≤Nmax, then step4 is returned;
Step10.i1=i1+1;
If i1≤21, return to step3;
Derived above 214*NmaxGroup (PPVm,N,Htotal, f1, f2, f3, f4) and it is vectorial as neutral net Training sample trains neutral net, and obtained neutral net can represent input value (PPVm,N,Htotal) and output valve The relation of (f1, f2, f3, f4);
The globally optimal solution of neutral net is searched by genetic algorithm, so as to obtain optimal distributed power source capacity and work( Rate.
This method with the minimum target of user cost, with reference to each unit operation constraints, establishes optimization problem first Mathematical modeling, obtain the income and cost of user side and grid side, then change the capacity of each distributed power source and power bring into it is excellent Change and calculated in model, obtain corresponding income and cost, and neutral net is trained in this, as input and output, it is optimal so as to obtain Distributed power source capacity and power.
The technical effects of the invention are that:System optimization scheduling model is constructed, gives and is referred to based on user side economy The economic analysis and appraisal procedure of target Grid-connected Distributed Generation Power System, and obtain optimal the matching somebody with somebody for making user's profit maximum Put, while also carried out economic evaluation for supply side on this basis.The optimization problem of system is wherein reduced to linear gauge The problem of drawing, enormously simplify calculatings, and give that comparison is comprehensive and the Economic Analysis Method of system, great engineering promotion price Value.
Brief description of the drawings
Fig. 1 is the schematic diagram of present system structure.
Fig. 2 is the schematic diagram of inventive algorithm flow.
Embodiment
In order to more specifically describe the present invention, below in conjunction with the accompanying drawings, with the grid-connected system of the distributed power source of certain industry and commerce user Exemplified by system, grid-connected distributed power supply system structured flowchart is as shown in figure 1, being analyzed and being assessed to its economy, and obtained most Excellent configuration, is comprised the following steps that:.
1) mathematical modeling and resource data of distributed power source are determined
For photovoltaic generation, this area the photometric data R and temperature data T of 1 year are obtained;Photovoltaic cost:Cpv= 10yuan/w, conversion ratio η=10%, per square meter photovoltaic peak power output PPVm1=0.07 life-span npvAbout 20 years.
For miniature gas turbine, parameter is determined according to actual conditions, obtains air inflow and generated output and heat production power Between relation, i.e. Pi(t)=m*GfAnd Q (t)i(t)=n*Gf(t), wherein Pi(t) generated output of gas turbine, Q are representedi (t) heating power of waste heat boiler, G are representedf(t) air inflow of gas turbine is represented, m, n are constant.To Capstone C65 miniature gas turbines, it can be obtained according to its model:Pi(t)=12057.38986*Gf(t), Qi(t)= 20718.71506*Gf(t), and MT runs the bound P of poweri min=14KW, Pi max=65KW, upper and lower creep speed limitation are full FootPrice Ci is 500,000 yuan/platform, life-span ni about 20 years.
Battery charge efficiency η1=0.9, discharging efficiency η2=0.8, charge-discharge electric power limitationEnergy storage State bound SOCmin=0.2, SOCmax=0.8, initial energy storage statePrice CbaFor 500 yuan/ Kw, life-span nbaAbout 2 years.
Heat storage water tank heat accumulation efficiency eta3=0.9, heating efficiency η4=0.8, heat accumulation limits with heating powerWater tank energy storage state bound SOTmin=0.2, SOTmax=0.8, initial energy storage state H0=SOTmin* Htotal.Price CtankFor 21.5/kw, life-span ntankAbout 10 years.
For grid side:Thermal power plant rate for incorporation into the power network Cplant-grid=0.3 yuan, transformer capacity invests in maintenance cost Ctran =600yuan/kVA.
Obtain 1 year prediction electric load P of userlWith prediction thermic load data Ql
2) systematic parameter and cogeneration of heat and power pattern are determined
For some specific system, its user side parameter:Sampling time Δ T=1h, Gas Prices Cn= 2.718yuan/kg tou power price CgridAs shown in table 1, thermic load penalty factor is abandoneda-Ql=0.46, the unnecessary penalty factor of heat production Ca-Qs=0.25, produce electricity unnecessary penalty factora-ps=0.5, the penalty factor of heat storage water tank heat accumulation and heat supply simultaneouslyP-loss=2* Ca-ps=1.The penalty factor of energy storage device discharge and recharge simultaneouslyQ-loss=2*Ca-Qs=0.5.
Cogeneration of heat and power is with unlimited heating power mode operation.
The tou power price of table 1
Period (hour) 01-08 09-10 11-12 13-18 19-22
Electricity price (member) 0.2616 0.5450 0.981 0.5450 0.981
3) daily Optimal Operation Model is:
Object function:
Constraints:
PPV(k)+Pgrid(k)+Pba-dis(k)-Pba-ch(k)+N*Pi(k)=Pl(k)+Pabans(k)
N*Qi(k)-Qabans(k)+Qtank-sup(k)-Qtank-sto(k)=Ql(k)-Qabanl(k)
Pi(t)=m × Gf(t)
Es(k)=ES(k-1)+Pba-ch(k)*η1*ΔT-Pba-dis(k)/η2*ΔT
H (k)=H (k-1)+Qtank-sto(k)*η3*ΔT-Qtank-sup(k)/η4*ΔT
Htotal*SOTmin≤H(k)≤Htotal*SOTmax
3) user's income and the investment, and the income of grid side and investment of 1 year is calculated by daily scheduling result:
User's annual earnings:
User's year invests:
f2=fPV/nPV+fgas-turbine/ni+ftank/ntank+fbattery/nba
Grid side annual earnings:
Grid side year invests:
4) (capacity, power) is combined with different distributed power sources:Photovoltaic peak power PPVm, miniature gas turbine installation Number N, energy-storage battery capacityHeat storage water tank capacity HtotalAs the input of model in step 1, with the user accordingly obtained Side and the income and cost f1, f2, f3 of grid side, f4 is output to train neutral net, then the neutral net by training to search Seek globally optimal solution, i.e. optimum power configuration.Algorithm flow chart is as shown in Figure 2.
4) above-mentioned parameter is brought into model and calculated, obtain the optimum combination of distributed power source, and corresponding user receives Benefit and investment,
Power network income and investment.
The allocation optimum, which is calculated, is:
Photovoltaic peak power PPVm=352kw;
Miniature gas turbine number N=43;
Energy-storage battery capacity ES=870kwh;
Heat storage water tank capacity H=2552kwh.
Corresponding output is (1 year):
User's income f1=253.43 ten thousand yuan
Customer investment f2=131.56 ten thousand yuan
Power network income f3=229.96 ten thousand yuan
Electric grid investment f4=139.42 ten thousand yuan
Ten thousand yuan of user's net profit f1-f2=121.87
5) economy of allocation optimum combination
Change the configuration of distributed installed capacity, calculate the net profit of user, received only with the user under optimal installed capacity Benefit is relatively
As photovoltaic peak power PPVm=500kw;
Miniature gas turbine number N=50;
Energy-storage battery capacity ES=870kwh;
Heat storage water tank capacity H=2552kwh.
Corresponding output is (1 year):
User's income f1=260.21 ten thousand yuan
Customer investment f2=149.80 ten thousand yuan
Now ten thousand yuan of user's net profit f1-f2=116.41
As photovoltaic peak power PPVm=352kw;
Miniature gas turbine number N=50;
Energy-storage battery capacity ES=1000kwh;
Heat storage water tank capacity H=2552kwh.
Corresponding output is (1 year):
User's income f1=262.87 ten thousand yuan
Customer investment f2=152.31 ten thousand yuan
Now ten thousand yuan of user's net profit f1-f2=110.56
As photovoltaic peak power PPVm=200kw;
Miniature gas turbine number N=50;
Energy-storage battery capacity ES=1000kwh;
Heat storage water tank capacity H=2000kwh.
Corresponding output is (1 year):
User's income f1=264.87 ten thousand yuan
Customer investment f2=160.44 ten thousand yuan
Now ten thousand yuan of user's net profit f1-f2=104.43
It can be seen that after changing the installed capacity of distributed power source, the net profit of user is than under optimal installed capacity User's net profit is small, so as to demonstrate its economy.

Claims (1)

1. a kind of distributed power source Optimal Configuration Method based on user side economic index, it is characterised in that this method includes The following steps:
A, user is determined, photovoltaic, miniature gas cogeneration units, battery and heat storage water tank as used in determining user Specification and model, then the index listed by table 1 is the value of determination,
The input quantity of table 1
Cogeneration of heat and power operational mode, photovoltaic peak power P are determined againPVm, miniature gas turbine installation number N, accumulator capacityWith heat storage water tank capacity Htotal
B, establish using user cost be minimised as the mathematical modeling of target as:
Object function minf=fgas+fgrid+fa-Ql+fa-Qs+fa-Ps+fP-loss+fQ-loss
Wherein:F represents user's operating cost of 24 hours, fgasRepresent 24 hours natural gases consumed of miniature gas turbine into This, fgridRepresent user's electricity charge paid to power network of 24 hours, fa-QlRepresent 24 hours punishment costs for abandoning thermic load, fa-Qs Represent the unnecessary punishment cost of the heat production of 24 hours, fa-PsRepresent the unnecessary punishment cost of the electricity production of 24 hours, fP-lossIt is electric power storage The punishment cost of pond discharge and recharge simultaneously, fQ-lossIt is the punishment cost of heat storage water tank heat supply simultaneously and heat accumulation;
<mrow> <msub> <mi>f</mi> <mrow> <mi>g</mi> <mi>a</mi> <mi>s</mi> </mrow> </msub> <mo>=</mo> <munderover> <mo>&amp;Sigma;</mo> <mrow> <mi>k</mi> <mo>=</mo> <mn>1</mn> </mrow> <mrow> <mn>24</mn> <mo>/</mo> <mi>&amp;Delta;</mi> <mi>T</mi> </mrow> </munderover> <msub> <mi>C</mi> <mi>n</mi> </msub> <mo>*</mo> <mi>N</mi> <mo>*</mo> <msub> <mi>G</mi> <mi>f</mi> </msub> <mrow> <mo>(</mo> <mi>k</mi> <mo>)</mo> </mrow> <mo>*</mo> <mi>&amp;Delta;</mi> <mi>T</mi> </mrow>
Wherein CnRepresent the unit price of natural gas;N represents the gas turbine quantity of installation, Gf(k) k-th of sampling instant combustion gas is represented The air inflow of turbine, Δ T are the sampling time;
<mrow> <msub> <mi>f</mi> <mrow> <mi>g</mi> <mi>r</mi> <mi>i</mi> <mi>d</mi> </mrow> </msub> <mo>=</mo> <munderover> <mo>&amp;Sigma;</mo> <mrow> <mi>k</mi> <mo>=</mo> <mn>1</mn> </mrow> <mrow> <mn>24</mn> <mo>/</mo> <mi>&amp;Delta;</mi> <mi>T</mi> </mrow> </munderover> <msub> <mi>C</mi> <mrow> <mi>g</mi> <mi>r</mi> <mi>i</mi> <mi>d</mi> </mrow> </msub> <mrow> <mo>(</mo> <mi>k</mi> <mo>)</mo> </mrow> <mo>*</mo> <msub> <mi>P</mi> <mrow> <mi>g</mi> <mi>r</mi> <mi>i</mi> <mi>d</mi> </mrow> </msub> <mrow> <mo>(</mo> <mi>k</mi> <mo>)</mo> </mrow> <mo>*</mo> <mi>&amp;Delta;</mi> <mi>T</mi> </mrow>
Wherein Cgrid(k) represent k-th of sampling instant power network to the electricity price of user's sale of electricity, Pgrid(k) k-th of sampling instant is represented The electric energy that power network provides a user, Δ T are the sampling time;
<mrow> <msub> <mi>f</mi> <mrow> <mi>a</mi> <mo>-</mo> <mi>Q</mi> <mi>l</mi> </mrow> </msub> <mo>=</mo> <munderover> <mo>&amp;Sigma;</mo> <mrow> <mi>k</mi> <mo>=</mo> <mn>1</mn> </mrow> <mrow> <mn>24</mn> <mo>/</mo> <mi>&amp;Delta;</mi> <mi>T</mi> </mrow> </munderover> <msub> <mi>C</mi> <mrow> <mi>a</mi> <mo>-</mo> <mi>Q</mi> <mi>l</mi> </mrow> </msub> <mo>*</mo> <msub> <mi>Q</mi> <mrow> <mi>a</mi> <mi>b</mi> <mi>a</mi> <mi>n</mi> <mi>l</mi> </mrow> </msub> <mrow> <mo>(</mo> <mi>k</mi> <mo>)</mo> </mrow> <mo>*</mo> <mi>&amp;Delta;</mi> <mi>T</mi> </mrow>
Wherein Ca-QlThermic load penalty factor, Q are abandoned in expressionabanl(k) represent that thermic load amount is abandoned in k-th of sampling instant, Δ T is sampling Time;
<mrow> <msub> <mi>f</mi> <mrow> <mi>a</mi> <mo>-</mo> <mi>Q</mi> <mi>s</mi> </mrow> </msub> <mo>=</mo> <munderover> <mo>&amp;Sigma;</mo> <mrow> <mi>k</mi> <mo>=</mo> <mn>1</mn> </mrow> <mrow> <mn>24</mn> <mo>/</mo> <mi>&amp;Delta;</mi> <mi>T</mi> </mrow> </munderover> <msub> <mi>C</mi> <mrow> <mi>a</mi> <mo>-</mo> <mi>Q</mi> <mi>s</mi> </mrow> </msub> <mo>*</mo> <msub> <mi>Q</mi> <mrow> <mi>a</mi> <mi>b</mi> <mi>a</mi> <mi>n</mi> <mi>s</mi> </mrow> </msub> <mrow> <mo>(</mo> <mi>k</mi> <mo>)</mo> </mrow> <mo>*</mo> <mi>&amp;Delta;</mi> <mi>T</mi> </mrow>
Wherein Ca-QsRepresent the unnecessary penalty factor of heat production, Qabans(k) k-th of sampling instant heat production margin is represented, Δ T is sampling Time;
<mrow> <msub> <mi>f</mi> <mrow> <mi>a</mi> <mo>-</mo> <mi>P</mi> <mi>s</mi> </mrow> </msub> <mo>=</mo> <munderover> <mo>&amp;Sigma;</mo> <mrow> <mi>k</mi> <mo>=</mo> <mn>1</mn> </mrow> <mrow> <mn>24</mn> <mo>/</mo> <mi>&amp;Delta;</mi> <mi>T</mi> </mrow> </munderover> <msub> <mi>C</mi> <mrow> <mi>a</mi> <mo>-</mo> <mi>P</mi> <mi>s</mi> </mrow> </msub> <mo>*</mo> <msub> <mi>P</mi> <mrow> <mi>a</mi> <mi>b</mi> <mi>a</mi> <mi>n</mi> <mi>s</mi> </mrow> </msub> <mrow> <mo>(</mo> <mi>k</mi> <mo>)</mo> </mrow> <mo>*</mo> <mi>&amp;Delta;</mi> <mi>T</mi> </mrow>
Wherein Ca-PsRepresent to produce electricity unnecessary penalty factor, Pabans(k) k-th of sampling instant electricity production margin is represented, Δ T is sampling Time;
<mrow> <msub> <mi>f</mi> <mrow> <mi>P</mi> <mo>-</mo> <mi>l</mi> <mi>o</mi> <mi>s</mi> <mi>s</mi> </mrow> </msub> <mo>=</mo> <munderover> <mo>&amp;Sigma;</mo> <mrow> <mi>k</mi> <mo>=</mo> <mn>1</mn> </mrow> <mrow> <mn>24</mn> <mo>/</mo> <mi>&amp;Delta;</mi> <mi>T</mi> </mrow> </munderover> <mo>{</mo> <msub> <mi>C</mi> <mrow> <mi>P</mi> <mo>-</mo> <mi>l</mi> <mi>o</mi> <mi>s</mi> <mi>s</mi> </mrow> </msub> <mo>*</mo> <mo>&amp;lsqb;</mo> <mrow> <mo>(</mo> <mfrac> <mn>1</mn> <msub> <mi>&amp;eta;</mi> <mn>2</mn> </msub> </mfrac> <mo>-</mo> <mn>1</mn> <mo>)</mo> </mrow> <mo>*</mo> <msub> <mi>P</mi> <mrow> <mi>b</mi> <mi>a</mi> <mo>-</mo> <mi>d</mi> <mi>i</mi> <mi>s</mi> </mrow> </msub> <mrow> <mo>(</mo> <mi>k</mi> <mo>)</mo> </mrow> <mo>+</mo> <mrow> <mo>(</mo> <mn>1</mn> <mo>-</mo> <msub> <mi>&amp;eta;</mi> <mn>1</mn> </msub> <mo>)</mo> </mrow> <mo>*</mo> <msub> <mi>P</mi> <mrow> <mi>b</mi> <mi>a</mi> <mo>-</mo> <mi>c</mi> <mi>h</mi> </mrow> </msub> <mrow> <mo>(</mo> <mi>k</mi> <mo>)</mo> </mrow> <mo>&amp;rsqb;</mo> <mo>*</mo> <mi>&amp;Delta;</mi> <mi>T</mi> <mo>}</mo> </mrow>
Wherein CP-lossRepresent the penalty factor of battery discharge and recharge simultaneously artificially set, and CP-loss=2*Ca-Ps;Pba-dis(k) Represent the discharge power of k-th of moment battery, Pba-ch(k) charge power of k-th of moment battery, η are represented1Represent electric power storage The charge efficiency in pond, η2The discharging efficiency of battery is represented, Δ T is the sampling time;
<mrow> <msub> <mi>f</mi> <mrow> <mi>Q</mi> <mo>-</mo> <mi>l</mi> <mi>o</mi> <mi>s</mi> <mi>s</mi> </mrow> </msub> <mo>=</mo> <munderover> <mo>&amp;Sigma;</mo> <mrow> <mi>k</mi> <mo>=</mo> <mn>1</mn> </mrow> <mrow> <mn>24</mn> <mo>/</mo> <mi>&amp;Delta;</mi> <mi>T</mi> </mrow> </munderover> <mo>{</mo> <msub> <mi>C</mi> <mrow> <mi>Q</mi> <mo>-</mo> <mi>l</mi> <mi>o</mi> <mi>s</mi> <mi>s</mi> </mrow> </msub> <mo>*</mo> <mo>&amp;lsqb;</mo> <mrow> <mo>(</mo> <mfrac> <mn>1</mn> <msub> <mi>&amp;eta;</mi> <mn>4</mn> </msub> </mfrac> <mo>-</mo> <mn>1</mn> <mo>)</mo> </mrow> <mo>*</mo> <msub> <mi>Q</mi> <mrow> <mi>tan</mi> <mi>k</mi> <mo>-</mo> <mi>sup</mi> </mrow> </msub> <mrow> <mo>(</mo> <mi>k</mi> <mo>)</mo> </mrow> <mo>+</mo> <mrow> <mo>(</mo> <mn>1</mn> <mo>-</mo> <msub> <mi>&amp;eta;</mi> <mn>3</mn> </msub> <mo>)</mo> </mrow> <mo>*</mo> <msub> <mi>Q</mi> <mrow> <mi>tan</mi> <mi>k</mi> <mo>-</mo> <mi>s</mi> <mi>t</mi> <mi>o</mi> </mrow> </msub> <mrow> <mo>(</mo> <mi>k</mi> <mo>)</mo> </mrow> <mo>&amp;rsqb;</mo> <mo>*</mo> <mi>&amp;Delta;</mi> <mi>T</mi> <mo>}</mo> </mrow>
Wherein CQ-lossRepresent heat storage water tank heat accumulation and the penalty factor of heat supply, and C simultaneously artificially setQ-loss=2*Ca-Qs; Qtank-sup(k) heating power of k-th of moment heat storage water tank, Q are representedtank-sto(k) storage of k-th of moment heat storage water tank is represented Thermal power, η3Represent the heat accumulation efficiency of heat storage water tank, η4The heating efficiency of heat storage water tank is represented, Δ T is the sampling time;
Constraints one
Electric energy balance constrains PPV(k)+Pgrid(k)+Pba-dis(k)-Pba-ch(k)+N*Pi(k)=Pl(k)+Pabans(k)
Wherein PPV(k) the output electric energy of k-th of moment photovoltaic array prediction, P are representedgrid(k) represent k-th of moment power network to The electric energy of family supply, Pba-dis(k) discharge power of k-th of moment battery, P are representedba-ch(k) k-th of moment battery is represented Charge power, N represent user installation gas turbine quantity, Pi(k) output work of k-th of moment single gas turbine is represented Rate, Pl(k) the prediction power load of k-th of moment user, P are representedabans(k) k-th of moment electricity production margin is represented;
Wherein Pi(k)=m*Gf(k), Gf(k) it is gas turbine inlet fuel flow rate, m is determined by miniature gas turbine model Constant;
Constraints two
Thermal energy balance constrains N*Qi(k)-Qabans(k)+Qtank-sup(k)-Qtank-sto(k)=Ql(k)-Qabanl(k)
Wherein Qi(k) the output heat energy of k-th of moment single gas turbine, Q are representedabans(k) represent that k-th of moment heat production is unnecessary Amount, Qtank-sup(k) heating power of k-th of moment heat storage water tank, Q are representedtank-sto(k) k-th moment heat storage water tank is represented Heat accumulation power, Ql(k) the prediction thermic load of k-th of moment user, Q are representedabanl(k) represent that k-th of moment abandons thermic load amount, N Represent the gas turbine quantity of installation;
WhereinPi(k) power output of k-th of moment single gas turbine is represented;M, n are by miniature combustion The constant that gas-turbine model determines;
Constraints three
Miniature gas turbine operation constraint
Pi min≤Pi(k)≤Pi max
<mrow> <mo>-</mo> <msubsup> <mi>R</mi> <mi>i</mi> <mrow> <mi>d</mi> <mi>o</mi> <mi>w</mi> <mi>n</mi> </mrow> </msubsup> <mo>*</mo> <mi>&amp;Delta;</mi> <mi>T</mi> <mo>&amp;le;</mo> <msub> <mi>P</mi> <mi>i</mi> </msub> <mrow> <mo>(</mo> <mi>k</mi> <mo>)</mo> </mrow> <mo>-</mo> <msub> <mi>P</mi> <mi>i</mi> </msub> <mrow> <mo>(</mo> <mi>k</mi> <mo>-</mo> <mn>1</mn> <mo>)</mo> </mrow> <mo>&amp;le;</mo> <msubsup> <mi>R</mi> <mi>i</mi> <mrow> <mi>u</mi> <mi>p</mi> </mrow> </msubsup> <mo>*</mo> <mi>&amp;Delta;</mi> <mi>T</mi> </mrow>
Wherein Pi minAnd Pi maxThe minimum and maximum power limit of gas turbine operation, P are represented respectivelyi(k) k-th of moment is represented The power output of single gas turbine,Gas turbine creep speed limitation up and down is represented respectively;
Constraints four
Battery operation constraint
Es(k)=Es(k-1)+Pba-ch(k)*η1*ΔT-Pba-dis(k)/η2*ΔT
0≤Pba-ch(k)≤Ps max
0≤Pba-dis(k)≤Ps max
<mrow> <msubsup> <mi>E</mi> <mi>s</mi> <mrow> <mi>t</mi> <mi>o</mi> <mi>t</mi> <mi>a</mi> <mi>l</mi> </mrow> </msubsup> <mo>*</mo> <msub> <mi>SOC</mi> <mrow> <mi>m</mi> <mi>i</mi> <mi>n</mi> </mrow> </msub> <mo>&amp;le;</mo> <msub> <mi>E</mi> <mi>s</mi> </msub> <mrow> <mo>(</mo> <mi>k</mi> <mo>)</mo> </mrow> <mo>&amp;le;</mo> <msubsup> <mi>E</mi> <mi>s</mi> <mrow> <mi>t</mi> <mi>o</mi> <mi>t</mi> <mi>a</mi> <mi>l</mi> </mrow> </msubsup> <mo>*</mo> <msub> <mi>SOC</mi> <mrow> <mi>m</mi> <mi>a</mi> <mi>x</mi> </mrow> </msub> </mrow>
<mrow> <msubsup> <mi>E</mi> <mi>s</mi> <mn>0</mn> </msubsup> <mo>=</mo> <msub> <mi>SOC</mi> <mi>min</mi> </msub> <mo>*</mo> <msubsup> <mi>E</mi> <mi>s</mi> <mrow> <mi>t</mi> <mi>o</mi> <mi>t</mi> <mi>a</mi> <mi>l</mi> </mrow> </msubsup> </mrow>
Wherein Es(k) dump energy of k-th of moment battery, P are representedba-dis(k) the electric discharge work(of k-th of moment battery is represented Rate, Pba-ch(k) charge power of k-th of moment battery is represented,Represent the peak power limitation of battery operation, η1Table Show the charge efficiency of battery, η2The discharging efficiency of battery is represented,Represent the maximum energy storage of battery, SOCminWith SOCmaxThe minimum and maximum energy storage state of battery is represented respectively,Represent the initial energy storage state of battery;
Constraints five
Heat storage water tank operation constraint
H (k)=H (k-1)+Qtank-sto(k)*η3*ΔT-Qtank-sup(k)/η4*ΔT
<mrow> <msubsup> <mi>Q</mi> <mrow> <mi>tan</mi> <mi>k</mi> </mrow> <mi>min</mi> </msubsup> <mo>&amp;le;</mo> <msub> <mi>Q</mi> <mrow> <mi>tan</mi> <mi>k</mi> <mo>-</mo> <mi>s</mi> <mi>t</mi> <mi>o</mi> </mrow> </msub> <mrow> <mo>(</mo> <mi>k</mi> <mo>)</mo> </mrow> <mo>&amp;le;</mo> <msubsup> <mi>Q</mi> <mrow> <mi>tan</mi> <mi>k</mi> </mrow> <mi>max</mi> </msubsup> </mrow>
<mrow> <msubsup> <mi>Q</mi> <mrow> <mi>tan</mi> <mi>k</mi> </mrow> <mi>min</mi> </msubsup> <mo>&amp;le;</mo> <msub> <mi>Q</mi> <mrow> <mi>tan</mi> <mi>k</mi> <mo>-</mo> <mi>s</mi> <mi>u</mi> <mi>p</mi> </mrow> </msub> <mrow> <mo>(</mo> <mi>k</mi> <mo>)</mo> </mrow> <mo>&amp;le;</mo> <msubsup> <mi>Q</mi> <mrow> <mi>tan</mi> <mi>k</mi> </mrow> <mi>max</mi> </msubsup> </mrow>
Htotal*SOTmin≤H(k)≤Htotal*SOTmax
H0=SOTmin*Htotal
Wherein H (k) represents the dump energy of k-th of moment heat storage water tank, Qtank-sup(k) k-th moment heat storage water tank is represented Heating power, Qtank-sto(k) the heat accumulation power of k-th of moment heat storage water tank is represented,WithHeat storage water tank is represented respectively Minimum and maximum runs power, HtotalRepresent the maximum stored energy capacitance of heat storage water tank, SOTminAnd SOTmaxWater storage is represented respectively The minimum and maximum energy storage state of case, H0Represent the initial energy storage state of heat storage water tank;
Constraints six
Power network supply electric energy constraint
Wherein Pgrid(k) electric energy that k-th of moment power network is supplied to user is represented,Represent the peak power limit of power network supply System;
Constraints seven
There is Q for the electricity determining by heat pattern of grid-connected cogeneration of heat and powerabanl(k)=0
Wherein Qabanl(k) represent that k-th of moment abandons thermic load amount;
The object function for meeting above-mentioned 7 constraints is solved, can obtain the daily Optimized Operation scheme of system;
C, the income f of user side1Calculation formula it is as follows:
<mrow> <msub> <mi>f</mi> <mn>1</mn> </msub> <mo>=</mo> <munderover> <mo>&amp;Sigma;</mo> <mrow> <mi>k</mi> <mo>=</mo> <mn>1</mn> </mrow> <mrow> <mn>8760</mn> <mo>/</mo> <mi>&amp;Delta;</mi> <mi>T</mi> </mrow> </munderover> <mrow> <mo>(</mo> <msub> <mi>P</mi> <mi>l</mi> </msub> <mo>(</mo> <mi>k</mi> <mo>)</mo> <mo>*</mo> <msub> <mi>C</mi> <mrow> <mi>g</mi> <mi>r</mi> <mi>i</mi> <mi>d</mi> </mrow> </msub> <mo>(</mo> <mi>k</mi> <mo>)</mo> <mo>+</mo> <msub> <mi>P</mi> <mrow> <mi>p</mi> <mi>v</mi> </mrow> </msub> <mo>(</mo> <mi>k</mi> <mo>)</mo> <mo>*</mo> <msub> <mi>C</mi> <mrow> <mi>p</mi> <mi>v</mi> <mi>s</mi> <mi>u</mi> <mi>b</mi> </mrow> </msub> <mo>)</mo> </mrow> <mo>*</mo> <mi>&amp;Delta;</mi> <mi>T</mi> <mo>-</mo> <mrow> <mo>(</mo> <msub> <mi>f</mi> <mrow> <mi>Y</mi> <mi>g</mi> <mi>a</mi> <mi>s</mi> </mrow> </msub> <mo>+</mo> <msub> <mi>f</mi> <mrow> <mi>Y</mi> <mi>g</mi> <mi>r</mi> <mi>i</mi> <mi>d</mi> </mrow> </msub> <mo>+</mo> <msub> <mi>f</mi> <mrow> <mi>Y</mi> <mi>a</mi> <mo>-</mo> <mi>Q</mi> <mi>l</mi> </mrow> </msub> <mo>+</mo> <msub> <mi>f</mi> <mrow> <mi>Y</mi> <mi>a</mi> <mo>-</mo> <mi>Q</mi> <mi>s</mi> </mrow> </msub> <mo>+</mo> <msub> <mi>f</mi> <mrow> <mi>Y</mi> <mi>a</mi> <mo>-</mo> <mi>P</mi> <mi>s</mi> </mrow> </msub> <mo>)</mo> </mrow> </mrow>
Wherein f1Represent user's income in 1 year, Pl(k) the prediction power load of k-th of sampling instant user, C are representedpvsubRepresent The subsidy that photovoltaic often generates a kilowatt, Ppv(k) generated output of photovoltaic, C are representedgrid(k) represent k-th of sampling instant power network to The price of family sale of electricity;fYgasRepresent the gas cost that miniature gas turbine is consumed in 1 year;fYgridRepresent user in 1 year The electricity charge paid to power network;fYa-QlThe punishment cost of thermic load is abandoned in expression in 1 year;fYa-QsRepresent that heat production is unnecessary punishes in 1 year Penalize cost;fYa-PsRepresent to produce electricity unnecessary punishment cost in 1 year;Δ T is the sampling time;
<mrow> <msub> <mi>f</mi> <mrow> <mi>Y</mi> <mi>g</mi> <mi>a</mi> <mi>s</mi> </mrow> </msub> <mo>=</mo> <munderover> <mo>&amp;Sigma;</mo> <mrow> <mi>k</mi> <mo>=</mo> <mn>1</mn> </mrow> <mrow> <mn>8760</mn> <mo>/</mo> <mi>&amp;Delta;</mi> <mi>T</mi> </mrow> </munderover> <msub> <mi>C</mi> <mi>n</mi> </msub> <mo>*</mo> <mi>N</mi> <mo>*</mo> <msub> <mi>G</mi> <mi>f</mi> </msub> <mrow> <mo>(</mo> <mi>k</mi> <mo>)</mo> </mrow> <mo>*</mo> <mi>&amp;Delta;</mi> <mi>T</mi> </mrow>
Wherein CnRepresent the unit price of natural gas;N represents the gas turbine quantity of installation, Gf(k) k-th of sampling instant combustion gas is represented The air inflow of turbine, Δ T are the sampling time;
<mrow> <msub> <mi>f</mi> <mrow> <mi>Y</mi> <mi>g</mi> <mi>r</mi> <mi>i</mi> <mi>d</mi> </mrow> </msub> <mo>=</mo> <munderover> <mo>&amp;Sigma;</mo> <mrow> <mi>k</mi> <mo>=</mo> <mn>1</mn> </mrow> <mrow> <mn>8760</mn> <mo>/</mo> <mi>&amp;Delta;</mi> <mi>T</mi> </mrow> </munderover> <msub> <mi>C</mi> <mrow> <mi>g</mi> <mi>r</mi> <mi>i</mi> <mi>d</mi> </mrow> </msub> <mrow> <mo>(</mo> <mi>k</mi> <mo>)</mo> </mrow> <mo>*</mo> <msub> <mi>P</mi> <mrow> <mi>g</mi> <mi>r</mi> <mi>i</mi> <mi>d</mi> </mrow> </msub> <mrow> <mo>(</mo> <mi>k</mi> <mo>)</mo> </mrow> <mo>*</mo> <mi>&amp;Delta;</mi> <mi>T</mi> </mrow>
Wherein Cgrid(k) represent k-th of sampling instant power network to the price of user's sale of electricity, Pgrid(k) k-th of sampling instant is represented The electric energy that power network provides a user, Δ T are the sampling time;
<mrow> <msub> <mi>f</mi> <mrow> <mi>Y</mi> <mi>a</mi> <mo>-</mo> <mi>Q</mi> <mi>l</mi> </mrow> </msub> <mo>=</mo> <munderover> <mo>&amp;Sigma;</mo> <mrow> <mi>k</mi> <mo>=</mo> <mn>1</mn> </mrow> <mrow> <mn>8760</mn> <mo>/</mo> <mi>&amp;Delta;</mi> <mi>T</mi> </mrow> </munderover> <msub> <mi>C</mi> <mrow> <mi>a</mi> <mo>-</mo> <mi>Q</mi> <mi>l</mi> </mrow> </msub> <mo>*</mo> <msub> <mi>Q</mi> <mrow> <mi>a</mi> <mi>b</mi> <mi>a</mi> <mi>n</mi> <mi>l</mi> </mrow> </msub> <mrow> <mo>(</mo> <mi>k</mi> <mo>)</mo> </mrow> <mo>*</mo> <mi>&amp;Delta;</mi> <mi>T</mi> </mrow>
Wherein Ca-QlThermic load penalty factor, Q are abandoned in expressionabanl(k) represent that thermic load amount is abandoned in k-th of sampling instant, Δ T is sampling Time;
<mrow> <msub> <mi>f</mi> <mrow> <mi>Y</mi> <mi>a</mi> <mo>-</mo> <mi>Q</mi> <mi>s</mi> </mrow> </msub> <mo>=</mo> <munderover> <mo>&amp;Sigma;</mo> <mrow> <mi>k</mi> <mo>=</mo> <mn>1</mn> </mrow> <mrow> <mn>8760</mn> <mo>/</mo> <mi>&amp;Delta;</mi> <mi>T</mi> </mrow> </munderover> <msub> <mi>C</mi> <mrow> <mi>a</mi> <mo>-</mo> <mi>Q</mi> <mi>s</mi> </mrow> </msub> <mo>*</mo> <msub> <mi>Q</mi> <mrow> <mi>a</mi> <mi>b</mi> <mi>a</mi> <mi>n</mi> <mi>s</mi> </mrow> </msub> <mrow> <mo>(</mo> <mi>k</mi> <mo>)</mo> </mrow> <mo>*</mo> <mi>&amp;Delta;</mi> <mi>T</mi> </mrow>
Wherein Ca-QsRepresent the unnecessary penalty factor of heat production, Qabans(k) k-th of sampling instant heat production margin is represented, Δ T is sampling Time;
<mrow> <msub> <mi>f</mi> <mrow> <mi>Y</mi> <mi>a</mi> <mo>-</mo> <mi>P</mi> <mi>s</mi> </mrow> </msub> <mo>=</mo> <munderover> <mo>&amp;Sigma;</mo> <mrow> <mi>k</mi> <mo>=</mo> <mn>1</mn> </mrow> <mrow> <mn>8760</mn> <mo>/</mo> <mi>&amp;Delta;</mi> <mi>T</mi> </mrow> </munderover> <msub> <mi>C</mi> <mrow> <mi>a</mi> <mo>-</mo> <mi>P</mi> <mi>s</mi> </mrow> </msub> <mo>*</mo> <msub> <mi>P</mi> <mrow> <mi>a</mi> <mi>b</mi> <mi>a</mi> <mi>n</mi> <mi>s</mi> </mrow> </msub> <mrow> <mo>(</mo> <mi>k</mi> <mo>)</mo> </mrow> <mo>*</mo> <mi>&amp;Delta;</mi> <mi>T</mi> </mrow>
Wherein Ca-PsRepresent to produce electricity unnecessary penalty factor, Pabans(k) k-th of sampling instant electricity production margin is represented, Δ T is sampling Time;
D, user side investment is cost f2Calculation formula it is as follows:
f2=fPV/nPV+fgas-turbine/ni+ftank/ntank+fbattery/nba
Wherein f2Expression is converted into the customer investment of 1 year;fpv=Cpv*PpvmRepresent the installation price of photovoltaic array;CpvRepresent light Price of the volt per square meter, PpvmRepresent the dressing amount of photovoltaic, nPVRepresent the service life of photovoltaic, fgas-turbine=Ci* N is represented micro- The installation price of type gas turbine, CiThe price of gas turbine is represented, N represents the number of units of miniature gas turbine;niRepresent miniature combustion The service life of gas-turbine, ftank=Ctank*HtotalRepresent the installation price of heat storage water tank, CtankThe unit price of heat storage water tank is represented, HtotalRepresent the capacity of heat storage water tank, ntankThe service life of heat storage water tank is represented,Represent battery Price, C are installedbaThe unit price of battery is represented,Represent the capacity of battery, nbaRepresent the service life of battery;
E, grid side income f3Calculation formula it is as follows:
<mrow> <msubsup> <mi>&amp;Delta;P</mi> <mi>l</mi> <mi>max</mi> </msubsup> <mo>=</mo> <msubsup> <mi>P</mi> <mi>l</mi> <mi>max</mi> </msubsup> <mo>-</mo> <msubsup> <mi>P</mi> <mrow> <mi>g</mi> <mi>r</mi> <mi>i</mi> <mi>d</mi> </mrow> <mi>max</mi> </msubsup> </mrow>
<mrow> <msub> <mi>f</mi> <mn>3</mn> </msub> <mo>=</mo> <msubsup> <mi>&amp;Delta;P</mi> <mi>l</mi> <mrow> <mi>m</mi> <mi>a</mi> <mi>x</mi> </mrow> </msubsup> <mo>*</mo> <msub> <mi>C</mi> <mrow> <mi>t</mi> <mi>r</mi> <mi>a</mi> <mi>n</mi> </mrow> </msub> </mrow>
Wherein f3Power network income is represented,Represent the difference of the peak load of the grid-connected front and rear power network of distributed power source, Pl maxRepresent Peak load before distributed power source is grid-connected,Peak load after expression expression distributed power source is grid-connected, CtranRepresent transformation The investment of every kilovolt-ampere of device and maintenance cost;
F, grid side income decrement is cost f4Calculation formula it is as follows:
<mrow> <msub> <mi>f</mi> <mn>4</mn> </msub> <mo>=</mo> <munderover> <mo>&amp;Sigma;</mo> <mrow> <mi>k</mi> <mo>=</mo> <mn>1</mn> </mrow> <mrow> <mn>8760</mn> <mo>/</mo> <mi>&amp;Delta;</mi> <mi>T</mi> </mrow> </munderover> <mo>&amp;lsqb;</mo> <msub> <mi>C</mi> <mrow> <mi>g</mi> <mi>r</mi> <mi>i</mi> <mi>d</mi> </mrow> </msub> <mrow> <mo>(</mo> <mi>k</mi> <mo>)</mo> </mrow> <mo>-</mo> <msub> <mi>C</mi> <mrow> <mi>p</mi> <mi>l</mi> <mi>a</mi> <mi>n</mi> <mi>t</mi> <mo>-</mo> <mi>g</mi> <mi>r</mi> <mi>i</mi> <mi>d</mi> </mrow> </msub> <mrow> <mo>(</mo> <mi>k</mi> <mo>)</mo> </mrow> <mo>&amp;rsqb;</mo> <mo>*</mo> <mo>&amp;lsqb;</mo> <msub> <mi>P</mi> <mi>l</mi> </msub> <mrow> <mo>(</mo> <mi>k</mi> <mo>)</mo> </mrow> <mo>-</mo> <msub> <mi>P</mi> <mrow> <mi>g</mi> <mi>r</mi> <mi>i</mi> <mi>d</mi> </mrow> </msub> <mrow> <mo>(</mo> <mi>k</mi> <mo>)</mo> </mrow> <mo>&amp;rsqb;</mo> </mrow>
Wherein f4Represent power network income decrement, Cplant-grid(k) thermal power plant's rate for incorporation into the power network, C are representedgrid(k) represent to adopt for k-th Sample moment power network is to the electricity price of user's sale of electricity, Pl(k) the prediction power load of k-th of moment user, P are representedgrid(k) kth is represented The electric energy that individual sampling instant power network provides a user, k are sampling instant, and Δ T is the sampling time;
When distributed power source combines:Photovoltaic peak power PPVm, miniature gas turbine installation number N, accumulator capacityHeat accumulation Water tank volume HtotalAfter it is determined that, the income and cost f1, f2, f3, f4 of available user side and grid side;
According to the following steps, using the capacity and power combination of different distributed power sources:
<mrow> <mn>0</mn> <mo>&amp;le;</mo> <msub> <mi>P</mi> <mrow> <mi>P</mi> <mi>V</mi> <mi>m</mi> </mrow> </msub> <mo>&amp;le;</mo> <msubsup> <mi>P</mi> <mrow> <mi>P</mi> <mi>V</mi> <mi>m</mi> </mrow> <mi>max</mi> </msubsup> </mrow>
Wherein PPVmThe upper limitPl maxFor the maximum of user power utilization load;
0≤N≤Nmax
Wherein N upper limit Nmax=[Pl max/Pi max], Pi maxFor the peak power output of miniature gas turbine, [] is represented to bracket The numerical value of the inside rounds;
<mrow> <mn>0</mn> <mo>&amp;le;</mo> <msubsup> <mi>E</mi> <mi>s</mi> <mrow> <mi>t</mi> <mi>o</mi> <mi>t</mi> <mi>a</mi> <mi>l</mi> </mrow> </msubsup> <mo>&amp;le;</mo> <msubsup> <mi>E</mi> <mi>s</mi> <mrow> <mi>t</mi> <mi>o</mi> <mi>t</mi> <mi>a</mi> <mi>l</mi> <mi>m</mi> <mi>a</mi> <mi>x</mi> </mrow> </msubsup> </mrow>
WhereinThe upper limitPl(k) it is the prediction electricity consumption of k-th of moment user Load, Δ T are the sampling time;
0≤Htotal≤Htotalmax
The upper limit thereinQl(k) it is the prediction thermic load of k-th of moment user, Δ T is the sampling time;
Change P according to the following stepsPVm,N,HtotalValue, obtain the income and cost of corresponding user side and grid side f1,f2,f3,f4;
Step1.k=1;
Step2.i1=1;
Step3.i2=1;
Step4.i3=1;
Step5.i4=1;
Step6.
N (k)=i2;
<mrow> <msubsup> <mi>E</mi> <mi>s</mi> <mrow> <mi>t</mi> <mi>o</mi> <mi>t</mi> <mi>a</mi> <mi>l</mi> </mrow> </msubsup> <mrow> <mo>(</mo> <mi>k</mi> <mo>)</mo> </mrow> <mo>=</mo> <mrow> <mo>(</mo> <mi>i</mi> <mn>3</mn> <mo>-</mo> <mn>1</mn> <mo>)</mo> </mrow> <mo>*</mo> <msubsup> <mi>E</mi> <mi>s</mi> <mrow> <mi>t</mi> <mi>o</mi> <mi>t</mi> <mi>a</mi> <mi>l</mi> <mi>m</mi> <mi>a</mi> <mi>x</mi> </mrow> </msubsup> <mo>/</mo> <mn>20</mn> <mo>;</mo> </mrow>
Htotal(k)=(i4-1) * Htotalmax/20;
K=k+1;
By PPVm(k),N(k),Htotal(k) substitute into step b-f, obtain corresponding f1 (k), f2 (k), f3 (k), f4 (k) value;
Step7.i4=i4+1;
If i4≤21, return to step6;
Step8.i3=i3+1;
If i3≤21, return to step5;
Step9.i2=i2+1;
If i2≤Nmax, then step4 is returned;
Step10.i1=i1+1;
If i1≤21, return to step3;
Derived above 214*NmaxGroup (PPVm,N,Htotal, f1, f2, f3, f4) and training of the vector as neutral net Sample trains neutral net, and obtained neutral net can represent input value (PPVm,N,Htotal) and output valve (f1, F2, f3, f4) relation;
The globally optimal solution of neutral net is searched by genetic algorithm, so as to obtain optimal distributed power source capacity and power.
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