CN113612258A - Power distribution network wind power maximum consumption method based on electric vehicle aggregation model - Google Patents
Power distribution network wind power maximum consumption method based on electric vehicle aggregation model Download PDFInfo
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- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02J—CIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
- H02J3/00—Circuit arrangements for ac mains or ac distribution networks
- H02J3/38—Arrangements for parallely feeding a single network by two or more generators, converters or transformers
- H02J3/46—Controlling of the sharing of output between the generators, converters, or transformers
- H02J3/466—Scheduling the operation of the generators, e.g. connecting or disconnecting generators to meet a given demand
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- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02J—CIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
- H02J3/00—Circuit arrangements for ac mains or ac distribution networks
- H02J3/12—Circuit arrangements for ac mains or ac distribution networks for adjusting voltage in ac networks by changing a characteristic of the network load
- H02J3/14—Circuit arrangements for ac mains or ac distribution networks for adjusting voltage in ac networks by changing a characteristic of the network load by switching loads on to, or off from, network, e.g. progressively balanced loading
- H02J3/144—Demand-response operation of the power transmission or distribution network
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- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02J—CIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
- H02J3/00—Circuit arrangements for ac mains or ac distribution networks
- H02J3/28—Arrangements for balancing of the load in a network by storage of energy
- H02J3/32—Arrangements for balancing of the load in a network by storage of energy using batteries with converting means
- H02J3/322—Arrangements for balancing of the load in a network by storage of energy using batteries with converting means the battery being on-board an electric or hybrid vehicle, e.g. vehicle to grid arrangements [V2G], power aggregation, use of the battery for network load balancing, coordinated or cooperative battery charging
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- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02J—CIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
- H02J3/00—Circuit arrangements for ac mains or ac distribution networks
- H02J3/38—Arrangements for parallely feeding a single network by two or more generators, converters or transformers
- H02J3/46—Controlling of the sharing of output between the generators, converters, or transformers
- H02J3/48—Controlling the sharing of the in-phase component
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- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02J—CIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
- H02J3/00—Circuit arrangements for ac mains or ac distribution networks
- H02J3/38—Arrangements for parallely feeding a single network by two or more generators, converters or transformers
- H02J3/46—Controlling of the sharing of output between the generators, converters, or transformers
- H02J3/50—Controlling the sharing of the out-of-phase component
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- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02J—CIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
- H02J2203/00—Indexing scheme relating to details of circuit arrangements for AC mains or AC distribution networks
- H02J2203/10—Power transmission or distribution systems management focussing at grid-level, e.g. load flow analysis, node profile computation, meshed network optimisation, active network management or spinning reserve management
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- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02J—CIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
- H02J2203/00—Indexing scheme relating to details of circuit arrangements for AC mains or AC distribution networks
- H02J2203/20—Simulating, e g planning, reliability check, modelling or computer assisted design [CAD]
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- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02J—CIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
- H02J2300/00—Systems for supplying or distributing electric power characterised by decentralized, dispersed, or local generation
- H02J2300/20—The dispersed energy generation being of renewable origin
- H02J2300/28—The renewable source being wind energy
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- Y—GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
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- Y02B—CLIMATE CHANGE MITIGATION TECHNOLOGIES RELATED TO BUILDINGS, e.g. HOUSING, HOUSE APPLIANCES OR RELATED END-USER APPLICATIONS
- Y02B70/00—Technologies for an efficient end-user side electric power management and consumption
- Y02B70/30—Systems integrating technologies related to power network operation and communication or information technologies for improving the carbon footprint of the management of residential or tertiary loads, i.e. smart grids as climate change mitigation technology in the buildings sector, including also the last stages of power distribution and the control, monitoring or operating management systems at local level
- Y02B70/3225—Demand response systems, e.g. load shedding, peak shaving
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- Y02—TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
- Y02E—REDUCTION OF GREENHOUSE GAS [GHG] EMISSIONS, RELATED TO ENERGY GENERATION, TRANSMISSION OR DISTRIBUTION
- Y02E10/00—Energy generation through renewable energy sources
- Y02E10/70—Wind energy
- Y02E10/76—Power conversion electric or electronic aspects
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- Y—GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
- Y02—TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
- Y02E—REDUCTION OF GREENHOUSE GAS [GHG] EMISSIONS, RELATED TO ENERGY GENERATION, TRANSMISSION OR DISTRIBUTION
- Y02E70/00—Other energy conversion or management systems reducing GHG emissions
- Y02E70/30—Systems combining energy storage with energy generation of non-fossil origin
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- Y—GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
- Y02—TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
- Y02T—CLIMATE CHANGE MITIGATION TECHNOLOGIES RELATED TO TRANSPORTATION
- Y02T90/00—Enabling technologies or technologies with a potential or indirect contribution to GHG emissions mitigation
- Y02T90/10—Technologies relating to charging of electric vehicles
- Y02T90/16—Information or communication technologies improving the operation of electric vehicles
- Y02T90/167—Systems integrating technologies related to power network operation and communication or information technologies for supporting the interoperability of electric or hybrid vehicles, i.e. smartgrids as interface for battery charging of electric vehicles [EV] or hybrid vehicles [HEV]
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- Y04—INFORMATION OR COMMUNICATION TECHNOLOGIES HAVING AN IMPACT ON OTHER TECHNOLOGY AREAS
- Y04S—SYSTEMS INTEGRATING TECHNOLOGIES RELATED TO POWER NETWORK OPERATION, COMMUNICATION OR INFORMATION TECHNOLOGIES FOR IMPROVING THE ELECTRICAL POWER GENERATION, TRANSMISSION, DISTRIBUTION, MANAGEMENT OR USAGE, i.e. SMART GRIDS
- Y04S20/00—Management or operation of end-user stationary applications or the last stages of power distribution; Controlling, monitoring or operating thereof
- Y04S20/20—End-user application control systems
- Y04S20/222—Demand response systems, e.g. load shedding, peak shaving
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- Y—GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
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- Y04S30/00—Systems supporting specific end-user applications in the sector of transportation
- Y04S30/10—Systems supporting the interoperability of electric or hybrid vehicles
- Y04S30/12—Remote or cooperative charging
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- Y—GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
- Y04—INFORMATION OR COMMUNICATION TECHNOLOGIES HAVING AN IMPACT ON OTHER TECHNOLOGY AREAS
- Y04S—SYSTEMS INTEGRATING TECHNOLOGIES RELATED TO POWER NETWORK OPERATION, COMMUNICATION OR INFORMATION TECHNOLOGIES FOR IMPROVING THE ELECTRICAL POWER GENERATION, TRANSMISSION, DISTRIBUTION, MANAGEMENT OR USAGE, i.e. SMART GRIDS
- Y04S30/00—Systems supporting specific end-user applications in the sector of transportation
- Y04S30/10—Systems supporting the interoperability of electric or hybrid vehicles
- Y04S30/14—Details associated with the interoperability, e.g. vehicle recognition, authentication, identification or billing
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Abstract
A power distribution network wind power maximum consumption method based on an electric automobile aggregation model comprises the following steps: step 1, collecting and calculating parameters required by wind power consumption of a power distribution network; step 2, constructing probability distribution required by the configuration based on the parameters acquired in the step 1; step 3, constructing a polymerization model of the electric automobile based on the probability distribution in the step 2; step 4, constructing a mathematical model of electric vehicle optimized dispatching; and 5, solving the maximum wind power consumption capacity of the power distribution network according to the electric vehicle aggregation model established in the step 3 and the electric vehicle optimized dispatching mathematical model established in the step 4. According to the method, the wind power installation capacity is used as a target function, the load, the wind power output and the electric automobile trip randomness are considered at the same time, the aggregation model of the stage one and the mathematical model of the electric automobile optimized dispatching of the stage two are established, and the wind power consumption capability of the power distribution network can be greatly improved after the aggregation model of the stage one and the mathematical model of the electric automobile optimized dispatching of the stage two are combined and solved.
Description
Technical Field
The invention belongs to the technical field of electric vehicle optimization scheduling, and particularly relates to a power distribution network wind power maximum consumption method based on an electric vehicle aggregation model.
Background
According to the message issued by the ministry of public security: by the end of 2020, the inventory of new energy automobiles in China reaches 497 thousands of automobiles. Under the stimulation of relevant matching policies, the development of electric automobiles in China presents wide market prospects. The electric automobile has the potential of energy storage and can carry out time shifting on energy. If large-scale electric vehicles are gathered together, reasonable charging and discharging scheduling is carried out to exert a large-scale energy storage effect, so that the load peak-valley difference can be effectively relieved, the voltage quality is improved, and more distributed power supplies are consumed. Wind power is connected to a power distribution network side to achieve distributed power generation, so that the network loss can be effectively reduced, the power supply reliability can be improved, the grid connection and the dissipation are difficult due to the limitation of the capacity of the power distribution network, and the phenomenon that wind and light are abandoned is more and more serious. Therefore, the optimal scheduling technology of the electric automobile is continuously proposed to solve the problem of wind power consumption.
Most of the prior related technologies do not directly take the wind power absorption value as an objective function, but start from the point of view of load peak-valley difference. Meanwhile, when the optimization model is solved, the algorithm used in the prior art cannot obtain the optimal solution.
Disclosure of Invention
In order to overcome the defects in the prior art, the invention aims to provide a power distribution network wind power maximum consumption method based on an electric vehicle aggregation model.
The invention adopts the following technical scheme:
step 1, collecting relevant parameters of a fan connected with a power distribution network and the time of each electric vehicle leaving or arriving at a charging station;
step 2, constructing distribution required probability distribution based on the parameters acquired in the step 1, wherein the distribution required probability distribution comprises power grid load deviation probability distribution, wind speed probability distribution of a fan and probability distribution of electric vehicle traveling;
step 3, constructing an electric automobile aggregation model and electric automobile aggregation model constraint conditions based on the probability distribution in the step 2;
step 4, constructing a mathematical model of electric vehicle optimization scheduling, wherein the mathematical model comprises an objective function capable of minimizing network loss and a constraint condition corresponding to the objective function;
and 5, solving the maximum wind power consumption capacity of the power distribution network according to the electric vehicle aggregation model established in the step 3 and the electric vehicle optimized dispatching mathematical model established in the step 4.
The relevant parameters of the fans connected with the power distribution network in the step 1 comprise the installed wind power capacity connected with each node of the power distribution network, the cut-in wind speed, the rated wind speed, the cut-out wind speed, the historical wind speed data and the wind speed of the fans in the T time period of the fans in the installed wind power system, and the T time period is cut into nn times at intervals of tt minutes.
The distribution network load deviation probability distribution satisfies the following relational expression:
wherein, mud,tMeans, σ, representing the distribution network load deviation corresponding to time td,tRepresents μd,tThe corresponding standard deviation of the distribution network load deviation,is the load deviation value at the time t,multiplying the historical average value of the load to obtain the load value of the power distribution network, and cutting the T time period into any time of nn times at intervals of tt minutes.
The wind speed probability distribution of the fan meets the following relational expression:
fv(vt) Representing a wind velocity distribution, which is a rayleigh distribution; sigmavFor parameter values obtained by fitting historical wind speed data, vtThe wind speed value collected at the moment t.
The probability distribution of the electric vehicle traveling comprises time probability distribution of the electric vehicle leaving the charging station, time probability distribution of the electric vehicle reaching the charging station and daily driving distance probability distribution of the electric vehicle;
the time probability distribution of the electric vehicle leaving the charging station satisfies the following relation:
fr(tdep) Represents the time probability distribution of the electric vehicle leaving the charging station, which is a normal distribution,
wherein: t is tdepFor the time when the electric vehicle leaves the charging station, murMean value of time, σ, for all electric vehicles leaving the charging stationrIs murThe variance of (c).
The time probability distribution of the electric vehicle reaching the charging station satisfies the following relation:
fe(tarr) Representing the probability distribution of the time when the electric vehicle arrives at the charging station, wherein the probability distribution is normal distribution;
wherein: t is tarrTime of arrival of the electric vehicle at the charging station, mueMean value of time, σ, for all electric vehicles arriving at the charging stationeIs mueThe variance of (c).
The probability distribution of the daily driving distance of the electric automobile meets the following relational expression:
fdis(xdis) The distribution of the daily driving distance of the electric automobile is lognormal distribution;
wherein: x is the number ofdisThe daily driving distance mu when the electric vehicle arrives at the charging stationdisThe average value of the daily driving distance, sigma, when all the electric vehicles arrive at the charging stationdisIs mudisThe variance of (c).
In step 3, all electric vehicles which are connected to the j-node charging station of the power distribution network at the moment t are aggregated into an equivalent centralized energy storage, namely an aggregation model, wherein the aggregation model meets the following relational expression:
wherein: g is a candidate node set for installing wind power in the power distribution network,
s is a set after the scene is reduced; the scene is data of a corresponding scene of the power distribution network wind power generated by carrying out Monte Carlo simulation on the probability distribution in the step 2; the data of a plurality of scenes are generated by repeated simulation, the scene reduction refers to the merging of the scenes through a clustering algorithm,
Mjto access the collection of all electric vehicles charged at j-node of the distribution network,
andrespectively aggregating the maximum capacity, the maximum charging power, the maximum discharging power, the reaching capacity and the leaving capacity of equivalent centralized energy storage of the j-node electric automobile at the t moment under an S scene, wherein the S scene is any scene in the S set;
andthe maximum capacity, maximum charging power, maximum discharging power, arrival capacity and departure capacity of the mth electric vehicle, respectively, fm,t,sFor the state variable of the j node of the power distribution network accessed by the mth electric automobile at the moment t, 1 represents access, 0 represents non-access,andstate variables respectively indicating whether the m-th electric vehicle has arrived and departed at time t, 1Indicating arrival and departure, and 0 indicating not arrival and departure.
The constraint conditions of the electric automobile aggregation model satisfy the following relational expression:
wherein: ej,t,sAggregated energy storage capacity value, E, of j-node electric vehicle at t moment under s scenej,t-1,sThe accumulated energy storage capacity value of the electric automobile at the j node at the t-1 moment under the s scene is shown, tau represents the step length of the adjacent moment and is consistent with tt, eta+And η-Respectively the charging efficiency and the discharging efficiency,is the energy storage capacity value aggregated by the electric automobile at the j node at the initial moment under the s scene,the aggregated energy storage capacity value of the electric automobile at the j node at the last moment in the s scene,represents the maximum charging power of equivalent centralized energy storage of j node electric automobile aggregation at t moment under the scene of s,represents the maximum discharge power of equivalent centralized energy storage of j node electric automobile aggregation at t moment under the scene of s,andrespectively is a charge-discharge flag bit, is an integer variable of 0 and 1When the value is 1, the charging is performed, and when the value is 1When the value is 1, the discharge is performed, and both 0 values indicate that neither charge nor discharge is performed, and at most, only 1 of the two values can be 0 at the same time.
The objective function of the mathematical model for optimizing and scheduling the electric automobile is as follows:
wherein: g is a candidate node set for installing wind power in the power distribution network,
s is a set after the scene is reduced; the scene is data of a corresponding scene of the power distribution network wind power generated by carrying out Monte Carlo simulation on the probability distribution in the step 2; the data of a plurality of scenes are generated by repeated simulation, the scene reduction refers to the merging of the scenes through a clustering algorithm,
l is the set of all the branches of the distribution network,for installation in the j node of the distribution networkijIs the resistance of the branch ij and,the square of the current of the branch ij at the time t under the S scene, wherein the S scene is any scene in the S set, rhosThe probability of S scene occurrence is the number of S scene occurrences divided by the total number of all scenes in the set S; omega1And ω2And the weighting coefficients are respectively wind power installation capacity and system network loss.
Constraint conditions required to be met by the mathematical model of the electric vehicle optimization scheduling comprise system power flow constraint, distribution network voltage constraint, distribution network power piecewise linearization constraint, distribution network current and voltage constraint, distribution network transformer gear constraint and distribution network wind power output constraint.
The power distribution network power piecewise linearization satisfies the following relational expression:
wherein: sigmaij,kIs the power piecewise linear slope of the ij branch,Is a power piecewise linear active variable of the ij branch at the t moment in the s scene,Is a piecewise linear reactive variable of the power of the ij branch at the time t under the s scene,Positive parameter of active power of the ij branch at the t moment in s scene,Is a negative parameter of the active power of the ij branch at the t moment in the s scene,Positive parameter of reactive power of the ij branch at t moment in s scene,Is the negative parameter, tau, of the reactive power of the ij branch at the moment t under the s sceneijThe size of each segment, k is the value of the segment,The total number of the segments is the parameter introduced for the power segment linearization.
The gear constraint of the distribution network transformer meets the following relational expression:
wherein:representing the head end node, voltage Δ tap, of the transformerjFor the step value, tap, of each gear of the transformerj,tIs the gear position value, tap, of the j node at time tj,t+1The gear stage value of the j node at time t +1,andthe maximum value and the minimum value of the j node gear respectively,for the maximum change value of two gears at adjacent times,the maximum value of allowed gear changes for node j during the whole period of time T.
The power distribution network wind power output constraint satisfies the following relational expression:
wherein:the wind power simulation refers to wind power output data of j nodes of the power distribution network at the t moment under the s scene generated by Monte Carlo simulation on the wind speed probability distribution of the fan in the step 2;
the abandoned wind power gamma of j node wind power of the power distribution network at t moment under s scenecAnd theta and-theta are respectively an angle of reactive power advance and an angle of reactive power lag.
The system power flow constraint satisfies the following relational expression:
wherein: pij,t,sAnd Qij,t,sRespectively the active power and reactive power at t moment of the branch ij in s scene, xijBeing the reactance of the branch ij,andrespectively a historical active average value and a historical reactive average value of a node j at the moment t,andrespectively connecting the active power and the reactive power of the j-th node at the time t under the s scene,andrespectively charging power and discharging power of equivalent centralized energy storage of electric automobile polymerization,data representing the time t of scene s in the load deviation distribution, multiplied byAndthe load actual data at the time t is later.
Compared with the prior art, the method has the beneficial effects that the installation capacity of the wind power is taken as a target function, the load, the wind power output and the randomness of the electric automobile traveling are considered at the same time, and a two-stage random mixed integer linear programming model is established and is a first-stage aggregation model and a second-stage mathematical model for optimizing and scheduling of the electric automobile respectively. In the first stage, a plurality of electric automobile users are aggregated together to be equivalent to a centralized energy storage, and the centralized energy storage is accessed to a corresponding power distribution network node to optimize the installation capacity of wind power and maximize the installation capacity of the wind power; and in the second stage, the system network loss of the power distribution network is optimized, so that the network loss is minimum. The established final model is a mixed integer linear programming model, a commercial solver can be directly adopted to solve the model, the optimal scheduling scheme of the electric automobile in different periods is obtained, and the wind power consumption capability of the power distribution network can be greatly improved.
Drawings
FIG. 1 is a two-phase stochastic programming model proposed by the present invention;
FIG. 2 is a flow chart of a power distribution network wind power maximum consumption method based on an electric vehicle aggregation model.
Detailed Description
The present application is further described below with reference to the accompanying drawings. The following examples are only for illustrating the technical solutions of the present invention more clearly, and the protection scope of the present application is not limited thereby.
FIG. 1 is a schematic diagram of two stages in a model provided by a power distribution network wind power maximum consumption method based on an electric vehicle aggregation model, and the model can be divided into two stages; fig. 2 is a practical flowchart of the method of the present invention, which specifically includes the following contents:
step 1: collecting related parameters of a fan connected with a power distribution network and the time of each electric vehicle leaving or arriving at a charging station;
the relevant parameters of the fans connected with the power distribution network comprise the installed wind power capacity connected with each node of the power distribution network, the cut-in wind speed, the rated wind speed, the cut-out wind speed, the historical wind speed data and the wind speed of the fans in the T time period of the fans in the installed wind power system, and the T time period is cut into nn times at the T moment at intervals of tt minutes.
In this embodiment, the time period of the whole planning model may be 24 hours a day as T, and tt minutes is 30 minutes every two time intervals; .
Step 2: constructing required probability distribution based on the parameters acquired in the step 1, wherein the required probability distribution comprises power grid load deviation probability distribution, wind speed probability distribution of a fan and probability distribution of electric vehicle traveling;
the distribution network load deviation probability distribution satisfies the following relational expression:
wherein, mud,tMeans, σ, representing the distribution network load deviation corresponding to time td,tRepresents μd,tThe corresponding standard deviation of the distribution network load deviation,the load deviation value at the time t.And multiplying the historical average value of the load to obtain the load value of the power distribution network.
The wind speed probability distribution of the fan meets the following relational expression:
fv(vt) Representing a wind velocity distribution, which is a rayleigh distribution; sigmavFor the parameter values obtained by fitting the historical wind speed data, v is outside the scope of the present discussion since the parameter fitting method is prior arttThe wind speed value collected at the moment t.
The relative value of the wind speed and the power of the fan satisfies the following relation:
wherein the content of the first and second substances,representing the relative value of wind speed and power, v, of the wind turbine at time tciFor cutting into the wind speed, vrRated wind speed, vcoTo cut out the wind speed.
The probability distribution of the electric vehicle traveling comprises time probability distribution of the electric vehicle leaving the charging station, time probability distribution of the electric vehicle reaching the charging station and daily driving distance probability distribution of the electric vehicle;
the time probability distribution of the electric vehicle leaving the charging station satisfies the following relation:
fr(tdep) The time probability distribution of the electric vehicle leaving the charging station is represented, and the time probability distribution is a normal distribution. Wherein: t is tdepFor the time when the electric vehicle leaves the charging station, murMean value of time, σ, for all electric vehicles leaving the charging stationrIs murThe variance of (c).
The time probability distribution of the electric vehicle reaching the charging station satisfies the following relation:
fe(tarr) The time probability distribution of the electric vehicle arriving at the charging station is represented, and the time probability distribution is normal distribution. Wherein: t is tarrTime of arrival of the electric vehicle at the charging station, mueMean value of time, σ, for all electric vehicles arriving at the charging stationeIs mueThe variance of (c).
The probability distribution of the daily driving distance of the electric automobile meets the following relational expression:
fdis(xdis) The distribution of the daily driving distance of the electric automobile is lognormal distribution. Wherein: x is the number ofdisThe daily driving distance mu when the electric vehicle arrives at the charging stationdisThe average value of the daily driving distance, sigma, when all the electric vehicles arrive at the charging stationdisIs mudisThe variance of (c).
And step 3: constructing an electric automobile aggregation model and electric automobile aggregation model constraint conditions based on the probability distribution in the step 2;
the electric vehicles which are all connected to the j-node charging station of the power distribution network at the moment t are aggregated into an equivalent concentrated energy storage, namely an aggregation model, and the equivalent concentrated energy storage meets the following relational expression:
wherein: g is a candidate node set for installing wind power in the power distribution network,
s is a set after the scene is reduced; the scene is data of a corresponding scene of the power distribution network wind power generated by performing monte carlo simulation on the probability distribution in the step 2, in this embodiment, the data of the corresponding scene comprises the load data of the power distribution network in one day and the wind power output data of the power distribution network in one day, the data of the electric vehicle randomly arriving at the charging station in one day, and the data of the electric vehicle randomly leaving the charging station in one day; the data of a plurality of scenes can be generated by repeated simulation for a plurality of times, scene reduction refers to merging the scenes by a clustering algorithm, a common k-means clustering method can be adopted, mature software is directly applied, the specific steps are not the key points of the invention,
Mjto access the collection of all electric vehicles charged at j-node of the distribution network,
andrespectively aggregating the maximum capacity, the maximum charging power, the maximum discharging power, the reaching capacity and the leaving capacity of equivalent centralized energy storage of the j-node electric automobile at the t moment under an S scene, wherein the S scene is any scene in the S set;
andthe maximum capacity, maximum charging power, maximum discharging power, arrival capacity and departure capacity of the mth electric vehicle, respectively, fm,t,sFor the state variable of the j node of the power distribution network accessed by the mth electric automobile at the moment t, 1 represents access, 0 represents non-access,andand the state variables respectively represent whether the mth electric vehicle arrives and departs at the time t, 1 represents that the electric vehicle arrives and departs, and 0 represents that the electric vehicle does not arrive and departs.
The constraint conditions of the electric automobile aggregation model satisfy the following relational expression:
wherein: ej,t,sAggregated energy storage capacity value, E, of j-node electric vehicle at t moment under s scenej,t-1,sFor the aggregated energy storage capacity value of the electric automobile at the j node at the t-1 moment under the s scene, tau is the step length of the adjacent moment and is consistent with tt, which is expressed in 30 minutes in the embodiment, eta+And η-Respectively the charging efficiency and the discharging efficiency,is the energy storage capacity value aggregated by the electric automobile at the j node at the initial moment under the s scene,the aggregated energy storage capacity value of the electric automobile at the j node at the last moment in the s scene,represents the maximum charging power of equivalent centralized energy storage of j node electric automobile aggregation at t moment under the scene of s,denotes sUnder the scene, the maximum discharge power of equivalent centralized energy storage of j-node electric automobile aggregation at the time t,andrespectively is a charge-discharge flag bit, is an integer variable of 0 and 1When the value is 1, the charging is performed, and when the value is 1When the value is 1, the discharge is performed, and both 0 values indicate that neither charge nor discharge is performed, and at most, only 1 of the two values can be 0 at the same time.
And 4, step 4: constructing a mathematical model of electric vehicle optimization scheduling, wherein the mathematical model comprises an objective function capable of minimizing network loss and a constraint condition corresponding to the objective function;
the objective function of the mathematical model for optimizing and scheduling the electric automobile is as follows:
wherein: g is a candidate node set for installing wind power in the power distribution network,
s is a set after the scene is reduced; the scene is data of a corresponding scene of the wind power of the power distribution network generated by performing monte carlo simulation on the probability distribution in the step 2, in the embodiment, the data of the corresponding scene comprises load deviation data of the power distribution network in one day and wind power output data of the power distribution network in one day, data of an electric vehicle randomly arriving at a charging station in one day, and data of the electric vehicle randomly leaving the charging station in one day; the data of a plurality of scenes can be generated by repeated simulation for many times, scene reduction refers to merging the scenes through a clustering algorithm, a common k-means clustering method can be adopted, mature software is directly applied, and the specific steps are not the key points of the invention.
And L is the set of all branches of the power distribution network.For installation in the j node of the distribution networkijIs the resistance of the branch ij and,the square of the current of the branch ij at the time t under the S scene, wherein the S scene is any scene in the S set, rhosThe probability of S scene occurrence is the number of S scene occurrences divided by the total number of all scenes in the set S; omega1And ω2And the weighting coefficients are respectively wind power installation capacity and system network loss.
Constraint conditions required to be met by the mathematical model of the electric vehicle optimization scheduling comprise system power flow constraint, distribution network voltage constraint, distribution network power piecewise linearization constraint, distribution network current and voltage constraint, distribution network transformer gear constraint and distribution network wind power output constraint.
And (3) system power flow constraint:
wherein: pij,t,sAnd Qij,t,sRespectively the active power and reactive power at t moment of the branch ij in s scene, xijBeing the reactance of the branch ij,andrespectively a historical active average value and a historical reactive average value of a node j at the moment t,andrespectively connecting the active power and the reactive power of the j-th node at the time t under the s scene,andrespectively charging power and discharging power of equivalent centralized energy storage of electric automobile polymerization,data representing time t in s scene in load deviation distribution, multiplied byAndthe load actual data at the time t is later.
The voltage constraint of the power distribution network meets the following relational expression:
wherein: vj,t,sIs the voltage value, V, of the node j at time t under the scene of si,t,sIs the voltage value, V, of the node i at time t under the scene of snThe rated voltage value of the distribution network.
The power distribution network power piecewise linearization constraint satisfies the following relational expression:
wherein: sigmaij,kIs the power piecewise linear slope of the ij branch,Is a power piecewise linear active variable of the ij branch at the t moment in the s scene,Is a piecewise linear reactive variable of the power of the ij branch at the time t under the s scene,Positive parameter of active power of the ij branch at the t moment in s scene,Is a negative parameter of the active power of the ij branch at the t moment in the s scene,Reactive power of the ij branch at t moment in s scenePositive parameters of power,Is the negative parameter, tau, of the reactive power of the ij branch at the moment t under the s sceneijThe size of each segment, k is the value of the segment,The total number of the segments is the parameter introduced for the power segment linearization.
The current and voltage constraints of the power distribution network satisfy the following relational expression:
wherein:maximum current value, V, allowed for branch ij at time s scene tminAnd VmaxMinimum and maximum voltage values, V, allowed for the nodej,t,sThe voltage value of a node j at the moment t under the scene of s;
the gear constraint of the distribution network transformer meets the following relational expression:
wherein:representing the head end node, voltage Δ tap, of the transformerjFor the step value, tap, of each gear of the transformerj,tIs the gear position value, tap, of the j node at time tj,t+1The gear stage value of the j node at time t +1,andthe maximum value and the minimum value of the j node gear respectively,for the maximum change value of two gears at adjacent times,the maximum value of allowed gear changes for node j during the whole period of time T.
The power distribution network wind power output constraint satisfies the following relational expression:
wherein:the wind power simulation refers to wind power output data of j nodes of the power distribution network at the t moment under the s scene generated by Monte Carlo simulation on the wind speed probability distribution of the fan in the step 2;representing the relative value of wind speed and power of the wind turbine at time t;
the abandoned wind power gamma of j node wind power of the power distribution network at t moment under s scenecAnd theta and-theta are respectively an angle of reactive power advance and an angle of reactive power lag.
And 5: solving the maximum wind power consumption capacity of the power distribution network according to the aggregation model of the electric automobile established in the step 3 and the mathematical model of the optimized dispatching of the electric automobile established in the step 4;
the model in the step 4 has integer variables and continuous variables, and the constraint and objective functions only contain linear functions, which belong to the mixed integer linear programming problem, and the models in the step 3 and the step 4 can be directly combined together and solved at the same time to obtain the maximum wind power consumption capacity of the power distribution network. Solvers including Cplex, Mosek, Gurobi may be used in the solution.
The present applicant has described and illustrated embodiments of the present invention in detail with reference to the accompanying drawings, but it should be understood by those skilled in the art that the above embodiments are merely preferred embodiments of the present invention, and the detailed description is only for the purpose of helping the reader to better understand the spirit of the present invention, and not for limiting the scope of the present invention, and on the contrary, any improvement or modification made based on the spirit of the present invention should fall within the scope of the present invention.
Claims (16)
1. The method for maximum wind power consumption of the power distribution network based on the electric automobile aggregation model is characterized by comprising the following steps of:
step 1, collecting relevant parameters of a fan connected with a power distribution network and the time of each electric vehicle leaving or arriving at a charging station;
step 2, constructing distribution required probability distribution based on the parameters acquired in the step 1, wherein the distribution required probability distribution comprises power grid load deviation probability distribution, wind speed probability distribution of a fan and probability distribution of electric vehicle traveling;
step 3, constructing an electric automobile aggregation model and electric automobile aggregation model constraint conditions based on the probability distribution in the step 2;
step 4, constructing a mathematical model of electric vehicle optimization scheduling, wherein the mathematical model comprises an objective function capable of minimizing network loss and a constraint condition corresponding to the objective function;
and 5, solving the maximum wind power consumption capacity of the power distribution network according to the electric vehicle aggregation model established in the step 3 and the electric vehicle optimized dispatching mathematical model established in the step 4.
2. The power distribution network wind power maximum consumption method according to claim 1, characterized in that:
the relevant parameters of the fan connected with the power distribution network in the step 1 comprise the installed wind power capacity connected with each node of the power distribution network, the cut-in wind speed, the rated wind speed, the cut-out wind speed, the historical wind speed data and the wind speed of the fan in the T time period of the fan in the installed wind power system, and the T time period is cut into nn times at intervals of tt minutes.
3. The power distribution network wind power maximum consumption method according to claim 1, characterized in that:
the distribution network load deviation probability distribution satisfies the following relational expression:
wherein, mud,tMeans, σ, representing the distribution network load deviation corresponding to time td,tRepresents μd,tThe corresponding standard deviation of the distribution network load deviation,is the load deviation value at the time t,multiplying the historical average value of the load to obtain the load value of the power distribution network, and cutting the T time period into any time of nn times at intervals of tt minutes.
4. The power distribution network wind power maximum consumption method according to claim 1, characterized in that:
the wind speed probability distribution of the fan meets the following relational expression:
fv(vt) Representing a wind velocity distribution, which is a rayleigh distribution; sigmavFor parameter values obtained by fitting historical wind speed data, vtThe wind speed value collected at the moment t.
5. The power distribution network wind power maximum consumption method according to claim 1, characterized in that:
the probability distribution of the electric vehicle traveling comprises time probability distribution of the electric vehicle leaving the charging station, time probability distribution of the electric vehicle reaching the charging station and daily driving distance probability distribution of the electric vehicle.
6. The power distribution network wind power maximum absorption method according to claim 5, characterized in that:
the time probability distribution of the electric vehicle leaving the charging station satisfies the following relation:
fr(tdep) Represents the time probability distribution of the electric vehicle leaving the charging station, which is a normal distribution,
wherein: t is tdepFor the time when the electric vehicle leaves the charging station, murMean value of time, σ, for all electric vehicles leaving the charging stationrIs murThe variance of (c).
7. The power distribution network wind power maximum absorption method according to claim 5, characterized in that:
the time probability distribution of the electric vehicle reaching the charging station satisfies the following relation:
fe(tarr) Representing the probability distribution of the time when the electric vehicle arrives at the charging station, wherein the probability distribution is normal distribution;
wherein: t is tarrTime of arrival of the electric vehicle at the charging station, mueMean value of time, σ, for all electric vehicles arriving at the charging stationeIs mueThe variance of (c).
8. The power distribution network wind power maximum absorption method according to claim 5, characterized in that:
the daily driving distance probability distribution of the electric automobile meets the following relational expression:
fdis(xdis) The distribution of the daily driving distance of the electric automobile is lognormal distribution;
wherein: x is the number ofdisThe daily driving distance mu when the electric vehicle arrives at the charging stationdisThe average value of the daily driving distance, sigma, when all the electric vehicles arrive at the charging stationdisIs mudisThe variance of (c).
9. The power distribution network wind power maximum consumption method according to claim 1, characterized in that:
in the step 3, all electric vehicles which are connected to the j-node charging station of the power distribution network at the moment t are aggregated into an equivalent centralized energy storage, namely an aggregation model, wherein the aggregation model meets the following relational expression:
wherein: g is a candidate node set for installing wind power in the power distribution network,
s is a set after the scene is reduced; the scene is data of a corresponding scene of the power distribution network wind power generated by carrying out Monte Carlo simulation on the probability distribution in the step 2; the data of a plurality of scenes are generated by repeated simulation, the scene reduction refers to the merging of the scenes through a clustering algorithm,
Mjto access the collection of all electric vehicles charged at j-node of the distribution network,
andrespectively aggregating the maximum capacity, the maximum charging power, the maximum discharging power, the reaching capacity and the leaving capacity of equivalent centralized energy storage of the j-node electric automobile at the t moment under an S scene, wherein the S scene is any scene in the S set;
andthe maximum capacity, maximum charging power, maximum discharging power, arrival capacity and departure capacity of the mth electric vehicle, respectively, fm,t,sFor the state variable of the j node of the power distribution network accessed by the mth electric automobile at the moment t, 1 represents access, 0 represents non-access,andand the state variables respectively represent whether the mth electric vehicle arrives and departs at the time t, 1 represents that the electric vehicle arrives and departs, and 0 represents that the electric vehicle does not arrive and departs.
10. The power distribution network wind power maximum absorption method according to claim 9, characterized in that:
the constraint conditions of the electric automobile aggregation model satisfy the following relational expression:
wherein: ej,t,sAggregated energy storage capacity value, E, of j-node electric vehicle at t moment under s scenej,t-1,sThe accumulated energy storage capacity value of the electric automobile at the j node at the t-1 moment under the s scene is shown, tau represents the step length of the adjacent moment and is consistent with tt, eta+And η-Respectively the charging efficiency and the discharging efficiency,is the energy storage capacity value aggregated by the electric automobile at the j node at the initial moment under the s scene,the aggregated energy storage capacity value of the electric automobile at the j node at the last moment in the s scene,represents the maximum charging power of equivalent centralized energy storage of j node electric automobile aggregation at t moment under the scene of s,represents the maximum discharge power of equivalent centralized energy storage of j node electric automobile aggregation at t moment under the scene of s,andrespectively is a charge-discharge flag bit, is an integer variable of 0 and 1When the value is 1, the charging is performed, and when the value is 1When the value is 1, the discharge is performed, and both 0 values indicate that neither charge nor discharge is performed, and at most, only 1 of the two values can be 0 at the same time.
11. The method for maximum wind power consumption of a power distribution network according to claim 1 or 10, characterized in that:
the objective function of the mathematical model for optimizing and scheduling the electric automobile is as follows:
wherein: g is a candidate node set for installing wind power in the power distribution network,
s is a set after the scene is reduced; the scene is data of a corresponding scene of the power distribution network wind power generated by carrying out Monte Carlo simulation on the probability distribution in the step 2; the data of a plurality of scenes are generated by repeated simulation, the scene reduction refers to the merging of the scenes through a clustering algorithm,
l is the set of all the branches of the distribution network,for installation in the j node of the distribution networkijIs the resistance of the branch ij and,the square of the current of the branch ij at the time t under the S scene, wherein the S scene is any scene in the S set, rhosThe probability of S scene occurrence is the number of S scene occurrences divided by the total number of all scenes in the set S; omega1And ω2And the weighting coefficients are respectively wind power installation capacity and system network loss.
12. The power distribution network wind power maximum absorption method according to claim 11, characterized in that:
the constraint conditions required to be met by the mathematical model of the electric vehicle optimization scheduling comprise system power flow constraint, distribution network voltage constraint, distribution network power piecewise linearization constraint, distribution network current and voltage constraint, distribution network transformer gear constraint and distribution network wind power output constraint.
13. The power distribution network wind power maximum absorption method according to claim 12, characterized in that:
the power distribution network power piecewise linearization satisfies the following relational expression:
wherein: sigmaij,kIs the power piecewise linear slope of the ij branch,Is a power piecewise linear active variable of the ij branch at the t moment in the s scene,Is a piecewise linear reactive variable of the power of the ij branch at the time t under the s scene,Positive parameter of active power of the ij branch at the t moment in s scene,Power of ij branch in s fieldNegative parameters of active power at the scene time t,Positive parameter of reactive power of the ij branch at t moment in s scene,Is the negative parameter, tau, of the reactive power of the ij branch at the moment t under the s sceneijThe size of each segment, k is the value of the segment,The total number of the segments is the parameter introduced for the power segment linearization.
14. The power distribution network wind power maximum absorption method according to claim 12, characterized in that:
the gear constraint of the distribution network transformer meets the following relational expression:
wherein:representing the head end node, voltage Δ tap, of the transformerjFor the step value, tap, of each gear of the transformerj,tIs the gear position value, tap, of the j node at time tj,t+1The gear stage value of the j node at time t +1,andthe maximum value and the minimum value of the j node gear respectively,for the maximum change value of two gears at adjacent times,the maximum value of allowed gear changes for node j during the whole period of time T.
15. The power distribution network wind power maximum absorption method according to claim 12, characterized in that:
the power distribution network wind power output constraint satisfies the following relational expression:
wherein:the wind power simulation refers to wind power output data of j nodes of the power distribution network at the t moment under the s scene generated by Monte Carlo simulation on the wind speed probability distribution of the fan in the step 2;
16. The power distribution network wind power maximum absorption method according to claim 12, characterized in that:
the system power flow constraint satisfies the following relational expression:
wherein: pij,t,sAnd Qij,t,sRespectively the active power and reactive power at t moment of the branch ij in s scene, xijBeing the reactance of the branch ij,andrespectively a historical active average value and a historical reactive average value of a node j at the moment t,andrespectively connecting the active power and the reactive power of the j-th node at the time t under the s scene,andrespectively charging power and discharging power of equivalent centralized energy storage of electric automobile polymerization,data representing the time t of scene s in the load deviation distribution, multiplied byAndthe load actual data at the time t is later.
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