CN107919675A - Consider the charging station load scheduling model of car owner and operator's interests - Google Patents

Consider the charging station load scheduling model of car owner and operator's interests Download PDF

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CN107919675A
CN107919675A CN201711327085.4A CN201711327085A CN107919675A CN 107919675 A CN107919675 A CN 107919675A CN 201711327085 A CN201711327085 A CN 201711327085A CN 107919675 A CN107919675 A CN 107919675A
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mrow
msub
munderover
car owner
msubsup
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CN107919675B (en
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潘昭旭
刘三明
王致杰
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Shanghai Dianji University
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    • HELECTRICITY
    • H02GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02JCIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
    • H02J3/00Circuit arrangements for ac mains or ac distribution networks
    • H02J3/28Arrangements for balancing of the load in a network by storage of energy
    • H02J3/32Arrangements for balancing of the load in a network by storage of energy using batteries with converting means
    • 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
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    • G06Q10/06Resources, workflows, human or project management; Enterprise or organisation planning; Enterprise or organisation modelling
    • G06Q10/063Operations research, analysis or management
    • G06Q10/0631Resource planning, allocation, distributing or scheduling for enterprises or organisations
    • G06Q10/06312Adjustment or analysis of established resource schedule, e.g. resource or task levelling, or dynamic rescheduling
    • 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
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    • G06Q50/06Energy or water supply
    • H02J3/382
    • HELECTRICITY
    • H02GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02JCIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
    • H02J2203/00Indexing scheme relating to details of circuit arrangements for AC mains or AC distribution networks
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    • YGENERAL 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
    • Y02TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
    • Y02EREDUCTION OF GREENHOUSE GAS [GHG] EMISSIONS, RELATED TO ENERGY GENERATION, TRANSMISSION OR DISTRIBUTION
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    • Y02E70/30Systems combining energy storage with energy generation of non-fossil origin
    • YGENERAL 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
    • Y04INFORMATION OR COMMUNICATION TECHNOLOGIES HAVING AN IMPACT ON OTHER TECHNOLOGY AREAS
    • Y04SSYSTEMS 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
    • Y04S10/00Systems supporting electrical power generation, transmission or distribution
    • Y04S10/50Systems or methods supporting the power network operation or management, involving a certain degree of interaction with the load-side end user applications

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Abstract

Consider the charging station load scheduling model of car owner and operator's interests, including pattern analysis, establish four object function, structure constraints, model solution and optimizing steps.If tstartTo dispatch start time, tendFor the finishing scheduling moment, within the period:(1) pattern analysis;(2) object function is established;(3) constraints is built;(4) model solution and optimizing.The model belongs to double-goal optimal model, is solved to obtain one group of non-domination solution using NSGA II algorithms, then filter out the solution of compromise by fuzzy expert theory.The present invention is using car owner and operator's interests as optimization aim, consider power-balance, charging coverage rate and the constraint of electricity price situation, so as to establish electric automobile charging schedule model, trip requirements, the charge requirement of collection charging station regenerative resource output situation, echelon battery energy storage situation and car owner in real time, then scheduling result is obtained by NSGA II algorithms and fuzzy expert theory solving model.

Description

Consider the charging station load scheduling model of car owner and operator's interests
Technical field
The present invention relates to electric automobile charging station scheduling field, more particularly to consider car owner and operator's interests Charging station load scheduling model.
Background technology
Under the background that environmental protection is becoming tight day with traditional energy supply, China greatly develops regenerative resource and electronic vapour Car, supporting electrically-charging equipment also begin to rise.But the whether effective rate of utilization of regenerative resource or electric automobile charging The operation and development stood are all not fully up to expectations.Trace it to its cause in addition to Facilities Construction and relevant policies factor, scheduling model And vital one side.Since huge bear can be caused when electric automobile accesses grid charging to power transmission network, power distribution network Face is rung, so the main target at scheduling model initial stage is the harmful effect weakened when electric automobile networks;With the depth of research Enter, people start electric automobile being regarded as energy storage device even energy source, and scheduling model starts to enter hand adjustment from market etc. Car owner's charging behavior is spent, reaches and power grid peak load shifting etc. is acted on.Related data shows that current most of scheduling models base oneself upon Point is the stabilization of power grids and optimization, and department pattern considers car owner's interests, but exists and pay little attention to and consider incomplete problem, these Problem causes the real response of car owner not reach anticipation target.Meanwhile with the development of electric automobile industry, echelon battery problems Start the concern for causing masses.Referred to as echelon battery when battery capacity decays to the 80% of initial capacity.According to Chinese energy storage The data of press center are netted, China's batteries of electric automobile generally became echelon battery in 3~5 years.And expect 2019, the latest Not over the year two thousand twenty, China can have more than the echelon battery scale of 10GWh.And China since in recent years just carry out related skill The theoretical research of art and demonstration project, paces are more relatively slow, and commercial operations on a large scale do not start really also.Existing scheduling Model infirmities:
The foothold of current most of scheduling models is the stabilization of power grids and optimization, and department pattern considers car owner's interests, but deposits Paying little attention to and considering incomplete problem, these problems cause the real response of car owner not reach the state of anticipation.In addition, Current scheduling model ignores effect of the increasingly huge echelon battery of capacity in electric automobile charging schedule.Therefore, have Necessity proposes a kind of electric automobile charging station scheduling model to solve the above problems.
The content of the invention
The object of the present invention is to provide a kind of new charging station scheduling model.For current scheduling model there are the problem of, This model synthetically considers the interests of car owner and operator, at the same by the stand-by period of car owner, Trip Costs, battery loss and Charging expense is taken into account, establishes based on regenerative resource, and echelon battery uses load scheduling mode for energy-storage units Charging station scheduling model.
The present invention is that technical solution is used by solving its technical problem:
Consider the charging station load scheduling model of car owner and operator's interests, including pattern analysis, establish target letter Four number, structure constraints, model solution and optimizing steps;
If tstartTo dispatch start time, tendFor the finishing scheduling moment, within the period:
(1) pattern analysis:
1. car owner waits:
Car owner's expense:
In formula, A represents the stand-by period cost of car owner, and B represents the battery depreciable cost of car owner, and E represents the charging of car owner Expense, W are the stand-by period cost in the unit time, and Ts is the stand-by period of the s electric automobile, and N is mutually should situation Automobile quantity, depreciable costs of the Z for battery per charge and discharge kilowatt-hour, m1(t)For the price that charges, p1.s(t)For in this case the s electricity The electric energy that electrical automobile needs;
Operator loses:
Assuming that the vehicle waited may finally all be charged, that is, the vehicle number waited is equal to the vehicle number of charging, fortune The electricity of battalion's business's production is all sold, loss zero;
F1.station(t)=0;
In formula:M is unit cost of electricity-generating;
2. car owner leaves, charging station is separately sought:
Car owner's expense:
In formula:C represents the Trip Costs that car owner returns from charging station, SsFor the traveling distance of the s electric automobile, V is The travel speed of the s electric automobile, m2(t)For the price that charges, P2.s(t)For the electricity that in this case the s electric automobile needs Energy;
Operator loses:
3. car owner leaves, using engine when driving:
Car owner's expense:
In formula:D represents the fuel cost of car owner, P3.s(t)The electric energy needed for electric automobile, η convert the fuel into for automobile For and other effects electric energy when transformation efficiency, qgasFor the fuel value of fuel, mgasFor fuel price, m3(t)For the price that charges;;
Operator loses:
(2) object function is established:
1. operator's loss is minimum:
2. car owner's expense is minimum:
(3) constraints is built:
1. power constraint:
Pg=P1+Pb
In formula, PgFor the output of regenerative resource, P1For the electric automobile power demand after scheduling, PbFor echelon battery The electricity of storage, positive number represent charging, negative number representation electric discharge;
2. charge coverage rate:
In formula, DafterFor the electric automobile of response scheduling, D is total electric automobile, and m is constant, which represents scheduling Charging station afterwards must is fulfilled for a certain number of electric automobile charge requirements;
3. electricity tariff constraint:
mmin≤m(t)≤mmax
In formula, mminTo ensure the minimum electricity price of the loss of charging station operator, mmaxThe highest electricity that can be received for car owner Valency.
(4) model solution and optimizing:The model belongs to double-goal optimal model, using NSGA II algorithms solve To one group of non-domination solution, then the solution of compromise is filtered out by fuzzy expert theory, its detailed step is as follows:
1. gene code:
Characteristic quantity according to that can obtain model above is charging station output N, including renewable energy power generation and echelon electricity Pond energy storage, electric automobile charge requirement L and scheduling beginning and ending time T, so characteristic quantity is encoded using floating-point encoding method Obtain coding expression;
X=[N, L, T];
2. fitness function:
F=α Fstation+βFowner
In formula, α, β are respectively loss and the weight coefficient of car owner's cost function of operator, and characterization designer considers to stress The difference of point.Assuming that α=0.4, β=0.6, the fitness f of individual in population i is tried to achieve using the formulai
3. select function:
Selection roulette rule is compared parent individuality, it is assumed that colony's number is n, then the probability that individual i is selected For:
4. solve and preferred:
Fuzzy expert theory is by the way that expertise and fuzzy mathematics are combined, and the concept of membership function is incorporated into specially In the knowledge fuzzy representation of family's system, the corresponding scheme of optimal membership function value is selected by the quick fuzzy reasoning of expert, its Theoretical key is the framework of membership function and expert knowledge library, and it is as follows to define membership function herein:
Appropriate u is selected to choose maximum herein for most compromise solution as most compromise solution according to expertise;
The specific algorithm flow of model solution is as follows in step (4):
1. the parameter value used in initialization program, including population number N, maximum iteration G, gene g, variation because Sub- c;
2. according to initialization data, by using degree function, fitness f is tried to achievei
3. sorted using non-dominant property ordering strategy to population at individual memory;
4. calculate the crowding distance of each level in non-dominant property ranking results;
5. picking out N/2 advantages individual from current population by roulette wheel selection is used as parent population;
6. the parent population picked out carries out heredity, mutation operation, N/2 progeny population is produced;
7. calculate the fitness of each progeny population;
8. N/2 progeny population and current population are merged, carry out non-dominant property sequence and calculate crowding distance;
9. picking out N number of advantage individual by the use of hierarchical clustering algorithm is used as population of future generation;
10. judge end condition:If iterations reaches maximum evolutionary generation, enter stepOtherwise step is entered Suddenly 5. circulate;
Most compromise solution is picked out according to fuzzy expert theory.
Beneficial effect:
The present invention considers the interests of car owner and operator, by influence car owner's interests each side factor (stand-by period, Trip Costs, battery loss and charging expense) take into account, so the present invention can more effectively dispatch car owner's charging row is, Realize the purpose that electric automobile tracking regenerative resource is contributed, improve renewable energy utilization rate, realize car owner and operator Two-win.
Brief description of the drawings
Fig. 1 is that the flow of the charging station load scheduling model proposed by the present invention for considering car owner and operator's interests is shown It is intended to;
Fig. 2 is fuzzy expert theoretical diagram;
Fig. 3 is the algorithm flow chart of the model.
Embodiment
In order to make the technical means, the creative features, the aims and the efficiencies achieved by the present invention easy to understand, tie below Diagram and specific embodiment are closed, the present invention is further explained.
As shown in Figure 1, Figure 2, Figure 3 shows, the charging station load tune proposed by the present invention for considering car owner and operator's interests Degree model includes pattern analysis, establishes four object function, structure constraints, model solution and optimizing steps;
If tstartTo dispatch start time, tendFor the finishing scheduling moment, within the period:
(1) pattern analysis:
1. car owner waits:
Car owner's expense:
In formula, A represents the stand-by period cost of car owner, and B represents the battery depreciable cost of car owner, and E represents the charging of car owner Expense, W are the stand-by period cost in the unit time, and Ts is the stand-by period of the s electric automobile, and N is mutually should situation Automobile quantity, depreciable costs of the Z for battery per charge and discharge kilowatt-hour, m1(t)For the price that charges, p1.s(t)For in this case the s electricity The electric energy that electrical automobile needs;
Operator loses:
Assuming that the vehicle waited may finally all be charged, that is, the vehicle number waited is equal to the vehicle number of charging, fortune The electricity of battalion's business's production is all sold, loss zero;
F1.station(t)=0;
In formula:M is unit cost of electricity-generating;
2. car owner leaves, charging station is separately sought:
Car owner's expense:
In formula:C represents the Trip Costs that car owner returns from charging station, SsFor the traveling distance of the s electric automobile, V is The travel speed of the s electric automobile, m2(t)For the price that charges, P2.s(t)For the electricity that in this case the s electric automobile needs Energy;
Operator loses:
3. car owner leaves, using engine when driving:
Car owner's expense:
In formula:D represents the fuel cost of car owner, P3.s(t)The electric energy needed for electric automobile, η convert the fuel into for automobile For and other effects electric energy when transformation efficiency, qgasFor the fuel value of fuel, mgasFor fuel price, m3(t)For the price that charges;;
Operator loses:
(2) object function is established:
1. operator's loss is minimum:
2. car owner's expense is minimum:
(3) constraints is built:
1. power constraint:
Pg=P1+Pb
In formula, PgFor the output of regenerative resource, P1For the electric automobile power demand after scheduling, PbFor echelon battery The electricity of storage, positive number represent charging, negative number representation electric discharge;
2. charge coverage rate:
In formula, DafterFor the electric automobile of response scheduling, D is total electric automobile, and m is constant, which represents scheduling Charging station afterwards must is fulfilled for a certain number of electric automobile charge requirements;
3. electricity tariff constraint:
mmin≤m(t)≤mmax
In formula, mminTo ensure the minimum electricity price of the loss of charging station operator, mmaxThe highest electricity that can be received for car owner Valency.
(4) model solution and optimizing:The model belongs to double-goal optimal model, using NSGA II algorithms solve To one group of non-domination solution, then the solution of compromise is filtered out by fuzzy expert theory, its detailed step is as follows:
1. gene code:
Characteristic quantity according to that can obtain model above is charging station output N, including renewable energy power generation and echelon electricity Pond energy storage, electric automobile charge requirement L and scheduling beginning and ending time T, so characteristic quantity is encoded using floating-point encoding method Obtain coding expression;
X=[N, L, T]
2. fitness function:
F=α Fstation+βFowner
In formula, α, β are respectively loss and the weight coefficient of car owner's cost function of operator, and characterization designer considers to stress The difference of point.Assuming that α=0.4, β=0.6, the fitness f of individual in population i is tried to achieve using the formulai
3. select function:
Selection roulette rule is compared parent individuality, it is assumed that colony's number is n, then the probability that individual i is selected For:
4. solve and preferred:
Fuzzy expert theory is by the way that expertise and fuzzy mathematics are combined, and the concept of membership function is incorporated into specially In the knowledge fuzzy representation of family's system, the corresponding scheme of optimal membership function value is selected by the quick fuzzy reasoning of expert, its Theoretical key is the framework of membership function and expert knowledge library, and it is as follows to define membership function herein:
Appropriate u is selected to choose maximum herein for most compromise solution as most compromise solution according to expertise.
The specific algorithm flow of model solution is as follows in step (4):
1. the parameter value used in initialization program, including population number N, maximum iteration G, gene g, variation because Sub- c;
2. according to initialization data, by using degree function, fitness f is tried to achievei
3. sorted using non-dominant property ordering strategy to population at individual memory;
4. calculate the crowding distance of each level in non-dominant property ranking results;
5. picking out N/2 advantages individual from current population by roulette wheel selection is used as parent population;
6. the parent population picked out carries out heredity, mutation operation, N/2 progeny population is produced;
7. calculate the fitness of each progeny population;
8. N/2 progeny population and current population are merged, carry out non-dominant property sequence and calculate crowding distance;
9. picking out N number of advantage individual by the use of hierarchical clustering algorithm is used as population of future generation;
10. judge end condition:If iterations reaches maximum evolutionary generation, enter stepOtherwise step is entered Suddenly 5. circulate;
Most compromise solution is picked out according to fuzzy expert theory.
Embodiment of above only technical concepts and features to illustrate the invention, its object is to allow those skilled in the art Member understands present disclosure and is carried out, and it is not intended to limit the scope of the present invention, all spiritual according to the present invention The equivalent change or modification that essence is done, should all cover within the scope of the present invention.

Claims (2)

1. consider the charging station load scheduling model of car owner and operator's interests, including pattern analysis, establish object function, Build four constraints, model solution and optimizing steps, it is characterised in that:
If tstartTo dispatch start time, tendFor the finishing scheduling moment, within the period:
(1) pattern analysis:
1. car owner waits:
Car owner's expense:
<mrow> <msub> <mi>F</mi> <mrow> <mn>1.</mn> <mi>o</mi> <mi>w</mi> <mi>n</mi> <mi>e</mi> <mi>r</mi> <mrow> <mo>(</mo> <mi>t</mi> <mo>)</mo> </mrow> </mrow> </msub> <mo>=</mo> <mi>A</mi> <mo>+</mo> <mi>B</mi> <mo>+</mo> <mi>E</mi> <mo>=</mo> <munderover> <mo>&amp;Sigma;</mo> <mrow> <mi>s</mi> <mo>=</mo> <mn>1</mn> </mrow> <mi>N</mi> </munderover> <munderover> <mo>&amp;Sigma;</mo> <mrow> <mi>t</mi> <mo>=</mo> <msub> <mi>t</mi> <mrow> <mi>s</mi> <mi>t</mi> <mi>a</mi> <mi>r</mi> <mi>t</mi> </mrow> </msub> </mrow> <msub> <mi>t</mi> <mrow> <mi>e</mi> <mi>n</mi> <mi>d</mi> </mrow> </msub> </munderover> <mrow> <mo>(</mo> <msub> <mi>wT</mi> <mi>s</mi> </msub> <mo>+</mo> <msub> <mi>zP</mi> <mrow> <mn>1.</mn> <mi>s</mi> <mrow> <mo>(</mo> <mi>t</mi> <mo>)</mo> </mrow> </mrow> </msub> <mo>+</mo> <msub> <mi>m</mi> <mrow> <mn>1</mn> <mrow> <mo>(</mo> <mi>t</mi> <mo>)</mo> </mrow> </mrow> </msub> <msub> <mi>p</mi> <mrow> <mn>1.</mn> <mi>s</mi> <mrow> <mo>(</mo> <mi>t</mi> <mo>)</mo> </mrow> </mrow> </msub> <mo>)</mo> </mrow> <mo>;</mo> </mrow>
In formula, A represents the stand-by period cost of car owner, and B represents the battery depreciable cost of car owner, and E represents the charging expense of car owner, W be the unit time in stand-by period cost, TsFor the stand-by period of the s electric automobile, N be mutually should situation automobile number Amount, depreciable costs of the Z for battery per charge and discharge kilowatt-hour, m1(t)For the price that charges, p1.s(t)For in this case the s electric automobile The electric energy needed;
Operator loses:
Assuming that the vehicle waited may finally all be charged, that is, the vehicle number waited is equal to the vehicle number of charging, operator The electricity of production is all sold, loss zero;
F1.station(t)=0;
In formula:M is unit cost of electricity-generating;
2. car owner leaves, charging station is separately sought:
Car owner's expense:
<mrow> <msub> <mi>F</mi> <mrow> <mn>2.</mn> <mi>o</mi> <mi>w</mi> <mi>n</mi> <mi>e</mi> <mi>r</mi> <mrow> <mo>(</mo> <mi>t</mi> <mo>)</mo> </mrow> </mrow> </msub> <mo>=</mo> <mi>C</mi> <mo>+</mo> <mi>B</mi> <mo>+</mo> <mi>E</mi> <mo>=</mo> <munderover> <mo>&amp;Sigma;</mo> <mrow> <mi>s</mi> <mo>=</mo> <mn>1</mn> </mrow> <mi>N</mi> </munderover> <munderover> <mo>&amp;Sigma;</mo> <mrow> <mi>t</mi> <mo>=</mo> <msub> <mi>t</mi> <mrow> <mi>s</mi> <mi>t</mi> <mi>a</mi> <mi>r</mi> <mi>t</mi> </mrow> </msub> </mrow> <msub> <mi>t</mi> <mrow> <mi>e</mi> <mi>n</mi> <mi>d</mi> </mrow> </msub> </munderover> <mrow> <mo>(</mo> <mi>w</mi> <mfrac> <msub> <mi>S</mi> <mi>s</mi> </msub> <msub> <mi>V</mi> <mi>s</mi> </msub> </mfrac> <mo>+</mo> <msub> <mi>zP</mi> <mrow> <mn>2.</mn> <mi>s</mi> <mrow> <mo>(</mo> <mi>t</mi> <mo>)</mo> </mrow> </mrow> </msub> <mo>+</mo> <msub> <mi>m</mi> <mrow> <mn>2</mn> <mrow> <mo>(</mo> <mi>t</mi> <mo>)</mo> </mrow> </mrow> </msub> <msub> <mi>p</mi> <mrow> <mn>2.</mn> <mi>s</mi> <mrow> <mo>(</mo> <mi>t</mi> <mo>)</mo> </mrow> </mrow> </msub> <mo>)</mo> </mrow> <mo>;</mo> </mrow>
In formula:C represents the Trip Costs that car owner returns from charging station, SsFor the traveling distance of the s electric automobile, V is the s The travel speed of electric automobile, m2(t)For the price that charges, P2.s(t)For the electric energy that in this case the s electric automobile needs;
Operator loses:
<mrow> <msub> <mi>F</mi> <mrow> <mn>2.</mn> <mi>s</mi> <mi>t</mi> <mi>a</mi> <mi>h</mi> <mi>o</mi> <mi>n</mi> <mrow> <mo>(</mo> <mi>t</mi> <mo>)</mo> </mrow> </mrow> </msub> <mo>=</mo> <munderover> <mo>&amp;Sigma;</mo> <mrow> <mi>s</mi> <mo>=</mo> <mn>1</mn> </mrow> <mi>N</mi> </munderover> <munderover> <mo>&amp;Sigma;</mo> <mrow> <mi>t</mi> <mo>=</mo> <msub> <mi>t</mi> <mrow> <mi>s</mi> <mi>t</mi> <mi>a</mi> <mi>r</mi> <mi>t</mi> </mrow> </msub> </mrow> <msub> <mi>t</mi> <mrow> <mi>e</mi> <mi>n</mi> <mi>d</mi> </mrow> </msub> </munderover> <mrow> <mo>(</mo> <msub> <mi>m</mi> <mrow> <mn>2</mn> <mrow> <mo>(</mo> <mi>t</mi> <mo>)</mo> </mrow> </mrow> </msub> <msub> <mi>p</mi> <mrow> <mn>2.</mn> <mi>s</mi> <mrow> <mo>(</mo> <mi>t</mi> <mo>)</mo> </mrow> </mrow> </msub> <mo>)</mo> </mrow> <mo>;</mo> </mrow>
3. car owner leaves, using engine when driving:
Car owner's expense:
<mrow> <msub> <mi>F</mi> <mrow> <mn>3.</mn> <mi>o</mi> <mi>w</mi> <mi>n</mi> <mi>e</mi> <mi>r</mi> <mrow> <mo>(</mo> <mi>t</mi> <mo>)</mo> </mrow> </mrow> </msub> <mo>=</mo> <mi>C</mi> <mo>+</mo> <mi>B</mi> <mo>+</mo> <mi>D</mi> <mo>+</mo> <mi>E</mi> <mo>=</mo> <munderover> <mo>&amp;Sigma;</mo> <mrow> <mi>s</mi> <mo>=</mo> <mn>1</mn> </mrow> <mi>N</mi> </munderover> <munderover> <mo>&amp;Sigma;</mo> <mrow> <mi>t</mi> <mo>=</mo> <msub> <mi>t</mi> <mrow> <mi>s</mi> <mi>t</mi> <mi>a</mi> <mi>r</mi> <mi>t</mi> </mrow> </msub> </mrow> <msub> <mi>t</mi> <mrow> <mi>e</mi> <mi>n</mi> <mi>d</mi> </mrow> </msub> </munderover> <mrow> <mo>(</mo> <mi>w</mi> <mfrac> <msub> <mi>S</mi> <mi>s</mi> </msub> <msub> <mi>V</mi> <mi>s</mi> </msub> </mfrac> <mo>+</mo> <msub> <mi>zP</mi> <mrow> <mn>3.</mn> <mi>s</mi> <mrow> <mo>(</mo> <mi>t</mi> <mo>)</mo> </mrow> </mrow> </msub> <mo>+</mo> <mfrac> <msub> <mi>P</mi> <mrow> <mn>3.</mn> <mi>s</mi> <mrow> <mo>(</mo> <mi>t</mi> <mo>)</mo> </mrow> </mrow> </msub> <mrow> <msub> <mi>&amp;eta;q</mi> <mrow> <mi>g</mi> <mi>a</mi> <mi>s</mi> </mrow> </msub> </mrow> </mfrac> <msub> <mi>m</mi> <mrow> <mi>g</mi> <mi>a</mi> <mi>s</mi> </mrow> </msub> <mo>+</mo> <msub> <mi>m</mi> <mrow> <mn>3</mn> <mrow> <mo>(</mo> <mi>t</mi> <mo>)</mo> </mrow> </mrow> </msub> <msub> <mi>p</mi> <mrow> <mn>3.</mn> <mi>s</mi> <mrow> <mo>(</mo> <mi>t</mi> <mo>)</mo> </mrow> </mrow> </msub> <mo>)</mo> </mrow> <mo>;</mo> </mrow>
In formula:D represents the fuel cost of car owner, P3.s(t)For electric automobile need electric energy, η be automobile convert the fuel into for etc. Transformation efficiency during effect electric energy, qgasFor the fuel value of fuel, mgasFor fuel price, m3(t)For the price that charges;;
Operator loses:
<mrow> <msub> <mi>F</mi> <mrow> <mn>3.</mn> <mi>s</mi> <mi>t</mi> <mi>a</mi> <mi>t</mi> <mi>i</mi> <mi>o</mi> <mi>n</mi> <mrow> <mo>(</mo> <mi>t</mi> <mo>)</mo> </mrow> </mrow> </msub> <mo>=</mo> <munderover> <mo>&amp;Sigma;</mo> <mrow> <mi>s</mi> <mo>=</mo> <mn>1</mn> </mrow> <mi>N</mi> </munderover> <munderover> <mo>&amp;Sigma;</mo> <mrow> <mi>t</mi> <mo>=</mo> <msub> <mi>t</mi> <mrow> <mi>s</mi> <mi>t</mi> <mi>a</mi> <mi>r</mi> <mi>t</mi> </mrow> </msub> </mrow> <msub> <mi>t</mi> <mrow> <mi>e</mi> <mi>n</mi> <mi>d</mi> </mrow> </msub> </munderover> <mrow> <mo>(</mo> <msub> <mi>m</mi> <mrow> <mn>3</mn> <mrow> <mo>(</mo> <mi>t</mi> <mo>)</mo> </mrow> </mrow> </msub> <msub> <mi>p</mi> <mrow> <mn>3.</mn> <mi>s</mi> <mrow> <mo>(</mo> <mi>t</mi> <mo>)</mo> </mrow> </mrow> </msub> <mo>)</mo> </mrow> <mo>;</mo> </mrow>
(2) object function is established:
1. operator's loss is minimum:
<mrow> <msub> <mi>F</mi> <mrow> <mi>s</mi> <mi>t</mi> <mi>a</mi> <mi>t</mi> <mi>i</mi> <mi>o</mi> <mi>n</mi> </mrow> </msub> <mo>=</mo> <munderover> <mo>&amp;Sigma;</mo> <mrow> <mi>j</mi> <mo>=</mo> <mn>1</mn> </mrow> <mn>3</mn> </munderover> <msub> <mi>F</mi> <mrow> <mi>j</mi> <mo>&amp;CenterDot;</mo> <mi>s</mi> <mi>t</mi> <mi>a</mi> <mi>t</mi> <mi>i</mi> <mi>o</mi> <mi>n</mi> <mrow> <mo>(</mo> <mi>t</mi> <mo>)</mo> </mrow> </mrow> </msub> <mo>;</mo> </mrow>
2. car owner's expense is minimum:
<mrow> <msub> <mi>F</mi> <mrow> <mi>o</mi> <mi>w</mi> <mi>n</mi> <mi>e</mi> <mi>r</mi> </mrow> </msub> <mo>=</mo> <munderover> <mo>&amp;Sigma;</mo> <mrow> <mi>j</mi> <mo>=</mo> <mn>1</mn> </mrow> <mn>3</mn> </munderover> <msub> <mi>F</mi> <mrow> <mi>j</mi> <mo>&amp;CenterDot;</mo> <mi>o</mi> <mi>w</mi> <mi>n</mi> <mi>e</mi> <mi>r</mi> <mrow> <mo>(</mo> <mi>t</mi> <mo>)</mo> </mrow> </mrow> </msub> <mo>;</mo> </mrow>
(3) constraints is built:
1. power constraint:
Pg=P1+Pb
In formula, PgFor the output of regenerative resource, P1For the electric automobile power demand after scheduling, PbFor echelon battery storage Electricity, positive number represent charging, negative number representation electric discharge;
2. charge coverage rate:
<mrow> <mi>m</mi> <mo>&amp;le;</mo> <mfrac> <msub> <mi>D</mi> <mrow> <mi>a</mi> <mi>f</mi> <mi>t</mi> <mi>e</mi> <mi>r</mi> </mrow> </msub> <mi>D</mi> </mfrac> <mo>;</mo> </mrow>
In formula, DafterFor the electric automobile of response scheduling, D is total electric automobile, and m is constant, which represents after scheduling Charging station must is fulfilled for a certain number of electric automobile charge requirements;
3. electricity tariff constraint:
mmin≤m(t)≤mmax
In formula, mminTo ensure the minimum electricity price of the loss of charging station operator, mmaxThe highest electricity price that can be received for car owner.
(4) model solution and optimizing:The model belongs to double-goal optimal model, is solved to obtain one group using NSGAII algorithms Non-domination solution, then the solution of compromise is filtered out by fuzzy expert theory, its detailed step is as follows:
1. gene code:
Characteristic quantity according to that can obtain model above is charging station output N, including renewable energy power generation and the storage of echelon battery Can, electric automobile charge requirement L and scheduling beginning and ending time T, so characteristic quantity is encoded to obtain using floating-point encoding method Coding expression;
X=[N, L, T];
2. fitness function:
F=α Fstation+βFowner
In formula, α, β are respectively loss and the weight coefficient of car owner's cost function of operator, and characterization designer considers emphasis It is different.Assuming that α=0.4, β=0.6, the fitness f of individual in population i is tried to achieve using the formulai
3. select function:
Selection roulette rule is compared parent individuality, it is assumed that colony's number is n, then the probability that individual i is selected is:
<mrow> <msub> <mi>P</mi> <mi>i</mi> </msub> <mo>=</mo> <mfrac> <msub> <mi>f</mi> <mi>i</mi> </msub> <mrow> <munderover> <mo>&amp;Sigma;</mo> <mrow> <mi>i</mi> <mo>=</mo> <mn>1</mn> </mrow> <mi>n</mi> </munderover> <msub> <mi>f</mi> <mi>i</mi> </msub> </mrow> </mfrac> <mo>;</mo> </mrow>
4. solve and preferred:
Fuzzy expert theory is by the way that expertise and fuzzy mathematics are combined, and the concept of membership function is incorporated into expert system In the knowledge fuzzy representation of system, the corresponding scheme of optimal membership function value is selected by the quick fuzzy reasoning of expert, it is theoretical Key be the framework of membership function and expert knowledge library, it is as follows to define membership function herein:
<mrow> <msub> <mi>u</mi> <mi>i</mi> </msub> <mo>=</mo> <mfenced open = "{" close = ""> <mtable> <mtr> <mtd> <mrow> <mn>1</mn> <mo>,</mo> </mrow> </mtd> <mtd> <mrow> <msub> <mi>f</mi> <mi>i</mi> </msub> <mo>&lt;</mo> <msubsup> <mi>f</mi> <mi>i</mi> <mi>min</mi> </msubsup> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <mfrac> <mrow> <msubsup> <mi>f</mi> <mi>i</mi> <mi>max</mi> </msubsup> <mo>-</mo> <mi>f</mi> </mrow> <mrow> <msubsup> <mi>f</mi> <mi>i</mi> <mi>max</mi> </msubsup> <mo>-</mo> <msubsup> <mi>f</mi> <mi>i</mi> <mi>min</mi> </msubsup> </mrow> </mfrac> <mo>,</mo> </mrow> </mtd> <mtd> <mrow> <msubsup> <mi>f</mi> <mi>i</mi> <mi>min</mi> </msubsup> <mo>&amp;le;</mo> <msub> <mi>f</mi> <mi>i</mi> </msub> <mo>&amp;le;</mo> <msubsup> <mi>f</mi> <mi>i</mi> <mi>max</mi> </msubsup> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <mn>0</mn> <mo>,</mo> </mrow> </mtd> <mtd> <mrow> <mi>f</mi> <mo>&gt;</mo> <msubsup> <mi>f</mi> <mi>i</mi> <mi>max</mi> </msubsup> </mrow> </mtd> </mtr> </mtable> </mfenced> <mo>;</mo> </mrow>
Appropriate u is selected to choose maximum herein for most compromise solution as most compromise solution according to expertise.
2. the charging station load scheduling model according to claim 1 for considering car owner and operator's interests, its feature It is:
The specific algorithm flow of model solution is as follows in step (4):
1. the parameter value used in initialization program, including population number N, maximum iteration G, gene g, mutagenic factor c;
2. according to initialization data, by using degree function, fitness f is tried to achievei
3. sorted using non-dominant property ordering strategy to population at individual memory;
4. calculate the crowding distance of each level in non-dominant property ranking results;
5. picking out N/2 advantages individual from current population by roulette wheel selection is used as parent population;
6. the parent population picked out carries out heredity, mutation operation, N/2 progeny population is produced;
7. calculate the fitness of each progeny population;
8. N/2 progeny population and current population are merged, carry out non-dominant property sequence and calculate crowding distance;
9. picking out N number of advantage individual by the use of hierarchical clustering algorithm is used as population of future generation;
10. judge end condition:If iterations reaches maximum evolutionary generation, enter stepOtherwise enter step and 5. follow Ring;
Most compromise solution is picked out according to fuzzy expert theory.
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