CN116362523A - Coordinated optimization method for site selection and operation strategy of power exchange station considering temperature adaptability - Google Patents

Coordinated optimization method for site selection and operation strategy of power exchange station considering temperature adaptability Download PDF

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CN116362523A
CN116362523A CN202310639210.4A CN202310639210A CN116362523A CN 116362523 A CN116362523 A CN 116362523A CN 202310639210 A CN202310639210 A CN 202310639210A CN 116362523 A CN116362523 A CN 116362523A
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孙宝凤
周俊义
王薇
周户星
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Abstract

The invention belongs to the technical field of traffic control systems, and relates to a coordinated optimization method for site selection and operation of a power exchange station considering temperature adaptability, which comprises the following steps: and acquiring historical track information and regional historical temperature information of the electric automobile, extracting a historical trip chain and a trip, and matching the temperature information. And excavating a travel characteristic model based on the travel chain and the travel space-time variable. And establishing an electric automobile energy consumption model based on the journey space-time variable and the temperature information. And simulating the travel and power conversion behaviors of the electric automobile in an expected scale by combining the travel characteristics and the energy consumption model of the electric automobile to obtain the power conversion requirement space-time distribution under different seasonal scenes. And constructing a two-stage site selection and operation strategy collaborative optimization model based on the space-time distribution of the power conversion requirements under different seasonal scenes. And solving the model by adopting an integer L-shaped algorithm. The invention has the advantages that: a balance between a fast increase in power conversion requirements and a gradient expansion of the power conversion infrastructure supply is achieved.

Description

Coordinated optimization method for site selection and operation strategy of power exchange station considering temperature adaptability
Technical Field
The invention relates to the technical field of electric vehicle power conversion; in particular to a coordinated optimization method for site selection and operation of a power exchange station considering temperature adaptability.
Background
Electric Vehicles (EV) are widely applied due to the technical and economic superiority of energy conservation, zero exhaust emission and low maintenance cost, and have good application prospects in the fields of personal travel, network taxi service, public service fleet service, urban distribution and the like. In view of the technical bottlenecks of limited Battery life, slow charging speed and the like existing in the current state of the art of power batteries, a new Battery Swapping (Battery Swapping) technology is considered as an effective and innovative solution for alleviating mileage anxiety, and the technology exchanges a discharged electric automobile Battery with a charged Battery instead of charging, so that long waiting of Battery charging is avoided, and the core challenge is to lay out and establish a Battery Swapping station infrastructure in advance.
The energy consumption of the power battery of the electric automobile is affected by low temperature, the endurance is fast in attenuation and high in power conversion frequency, and the popularization and application of the power conversion type electric automobile in areas with worse air temperature and larger year are limited. For this real problem, when the infrastructure of the power exchange station is laid out and built in advance, consideration is needed to scientifically predict the power exchange requirement of low-temperature adaptability, dynamically plan the network of the power exchange station and optimize the operation strategy of the power exchange station. The existing power exchange station site selection and operation optimization methods are not considered, and the influence of low temperature on the power exchange requirement is not quantized.
Regarding the prediction of the power change demand of an electric automobile, the method is an important decision premise of the layout of a power change infrastructure, the expansion of a network and the determination of the scale, the existing prediction method of the power change demand obtains the total amount of the future power change demand by adopting single equivalent substitution conversion or average growth rate prediction through indexes such as population, vehicle conservation quantity, traffic flow and the like, and the power change demand has the characteristics of planning guiding performance, scale certainty, low granularity of demand measurement and the like, and has certain rationality in the early layout stage of a power change station. However, as the maturity of the market increases rapidly, the existing method will cause the layout of the power exchange station to fail to respond to the dynamic change of the actual demand. Therefore, based on real large data analysis such as the travel history track of the electric vehicle, the electricity change record, the air temperature report and the like, the travel chain of the electric vehicle and the distribution rule thereof are accurately depicted, the problem that the mechanism of the electricity change requirement rule of the electric vehicle is not clear under the low-temperature condition is solved, and the method has important academic value and practical significance. The reported application patent CN202011623663.0 obtains potential residence addresses of driving users and frequent parking addresses of vehicles based on running information of network-access vehicles and vehicle types, determines a power change area with power change requirements, and realizes power change station site selection by adopting an area clustering method according to the power change area. The technical characteristics of the patent are that a power conversion area with power conversion requirements is obtained based on vehicle running information and vehicle type excavation, so that the site selection time can be effectively shortened, but the low temperature is not considered to obviously increase the power conversion frequency, aggravate the superposition influence of the energy source supplementing pressure of the power conversion station, and the network site selection of the power conversion station is not supported by comprehensively utilizing multi-source data such as travel chain tracks, power conversion records, historical air temperature reports and the like. There is also report such as application number CN202211248941.8, starting from travel survey data such as parking, charging and replacing events and Travel Chains (TC), simulating the travel behavior of the electric motorcycle in the road network, and performing power replacing selection based on the remorse theory so as to predict the distribution situation of power replacing demands in the power replacing station. The method for acquiring the power conversion requirement distribution can also effectively acquire the charge and conversion load under finer space and time resolution, but based on travel investigation data, the type of land is often used as a regional description characteristic, the association between the constructed travel chain model and actual traffic geographic information is not tight enough, the mileage energy consumption is not estimated for the performance of a power battery and the use of an air conditioner, and the important influence factor of low temperature is ignored in the power conversion energy compensation.
Except for the prediction of the power conversion requirement, from the angles of site selection and layout supply side optimization of a power conversion station, the existing optimization method mostly gives method guidance for network coverage site selection optimization and energy management and control optimization problems of the established power conversion station respectively, and as the application number CN202210828468.4 optimizes a charge and discharge instruction control method of the power conversion station, peak clipping and valley filling are realized, energy fluctuation is stabilized, and overall benefit of the power conversion station is improved; the application number CN202011623663.0 gives a method for locating the station according to the coverage rules. The high construction cost of the electricity exchanging infrastructure layout and the high battery dynamic inventory cost and maintenance cost of the electricity exchanging station operation seriously restrict the improvement of the network service capability of the electricity exchanging station.
Disclosure of Invention
In view of the above problems, the invention provides a coordinated planning method for site selection and operation strategies of a power exchange station taking temperature influence into consideration, which can predict the space-time distribution of the power exchange requirement under fine resolution, and provides a power exchange requirement space-time distribution acquisition method taking temperature factors into consideration, and a coordinated optimization model for the site selection and operation strategies of the power exchange station based on the seasonal space-time distribution of the power exchange requirement at two stages, so that the extraction and modeling of the seasonal space-time distribution rule of the power exchange requirement are realized, and the battery inventory plan and ordered charging plan under different seasonal situations are optimized while the site selection and scale configuration scheme of the power exchange station are determined, thereby solving the contradiction among large influence of temperature change on the power exchange requirement, large seasonal fluctuation of the requirement and insufficient ductility of the power exchange infrastructure.
The first object of the invention is to provide a method for acquiring the space-time distribution of the battery change demand in consideration of temperature factors, which is based on real travel history track, battery change record, and analysis of big data such as air temperature report of the electric automobile, and the method for acquiring the space-time distribution of the battery change demand in consideration of the temperature factors, wherein statistics, CTGAN (Conditional Tabular Generative Adversarial Networks) generation and other methods are applied. On the other hand, on the basis of lean prediction of the electric vehicle power change requirement, the problem that the synchronous optimization of the layout planning and the operation management of the power change station lacks a physical model and algorithm support is solved, so that the network expansion investment risk and the seasonal change operation risk of the temperature of the power change station are avoided. The invention further aims to provide a two-stage power exchange station site selection and operation strategy collaborative optimization method based on seasonal space-time distribution of power exchange requirements, which aims to provide a power exchange station layout planning and operation strategy collaborative optimization method in the early stage of large-scale popularization of a power exchange type electric automobile through fine power exchange requirement analysis, so that the total cost of a system is effectively reduced on the premise of meeting the requirements, and the balance between rapid increase of the power exchange requirements and gradient expansion of power exchange infrastructure supply is realized.
In order to achieve the above purpose, the invention adopts the following technical scheme:
a method for acquiring space-time distribution of power conversion requirements in consideration of temperature factors specifically comprises the following steps:
step 1, dividing the whole area into S regular hexagonal grids with side length of 500m as basic grid units TAZ according to the geographic information of the research area j
Step 2, acquiring GPS track data of historical travel of the electric automobile, wherein the resolution is less than one minute, and the information of each time stamp comprises vehicle ID, longitude, latitude, speed, time and current state of charge
Figure SMS_1
);
Step 3, acquiring historical meteorological data of the target city, wherein the historical meteorological data comprise hour-level historical temperature data of the day with the lowest average temperature in each season in a corresponding track data time period;
step 4, screening historical effective travel from the acquired track data and matching the historical effective travel with temperature data to acquire travel chain length probability;
step 5, constructing a travel chain model based on the actual travel behavior of the electric automobile;
step 6, constructing a journey energy consumption model;
step 7, determining the characteristic quantity of the travel chains and the probability distribution function thereof, and determining the quantity of the travel chains on each grid
Figure SMS_2
Departure time of first-stage journey ∈ ->
Figure SMS_3
And initial battery state of charge +. >
Figure SMS_4
Step 8, training a journey feature variable association distribution model and sampling by an application condition generator, adopting a CTGAN model in a Python open source synthesis database SDV to construct a journey feature variable association distribution model, and applying a CTGAN condition generator to sample journey feature variables under given journey departure time period and origin-destination grid conditions;
step 9, judging the power change requirement after each stroke is finished; at the end of each trip, in the current state of charge
Figure SMS_7
Selecting an observation index for a power change, the lowest psychological threshold value of the driver +.>
Figure SMS_9
Selecting a reference index for the power change, < >>
Figure SMS_11
For season index, the judgment rule is as follows: tracking time->
Figure SMS_6
Travel reaches grid cell TAZ j Generating a power change demand at the place; otherwise, the power-exchanging requirement is not generated, and the next travel of the travel chain is continued; here, winter +.>
Figure SMS_8
The value is 0.3, and the spring is +.>
Figure SMS_10
And autumn->
Figure SMS_12
The value is 0.25, summer +.>
Figure SMS_5
The value is 0.27;
step 10, calculating the power-changing bypass loss; the power conversion behavior is an energy supplementing process outside the normal travel behavior, and the power conversion vehicle returns to the original travel chain after finishing the power conversion process; assuming a battery-change travel distance
Figure SMS_13
Obeying 0 ~ 4km of uniform distribution, the commutation detour loss time is calculated as +.>
Figure SMS_14
,/>
Figure SMS_15
For the average speed of the last travel, the battery after power change is +. >
Figure SMS_16
Normal distribution N (0.9,0.05) obeying the upper limit of the value of 1;
and 11, based on travel mode simulation, forecasting space-time distribution of the power conversion requirement by considering the influence of air temperature change.
As a preferred aspect of the present invention, step 4 further comprises the steps of:
preprocessing GPS track data, namely eliminating invalid data according to whether longitude and latitude are in the range of a research area, whether abnormal values exist in information such as speed, time and the like;
A2. judging the travel, wherein the travel comprises a travel process and a stopping process of the travel ending, and if the speed is 0 and the duration exceeds 15min, the travel ending enters the stopping process; the starting time of the next speed which is not 0 is recorded as the beginning of the next stroke;
A3. calculating historical travel characteristic variables, and counting the track data frames of each travel to obtain travel characteristic variables, wherein the travel characteristic variables comprise a departure grid unit, a departure time and a departure
Figure SMS_17
Travel distance, travel time, average speed, arrival at grid cell, arrival time, parking time, arrival +.>
Figure SMS_18
A4. Acquiring the stroke average temperature information, and expanding the average temperature of the stroke into the history effective stroke information according to matching of the departure time and arrival time of the stroke with the history temperature data;
A5. And counting the length of the travel chain and probability distribution thereof, namely connecting all travel routes within one day of a single vehicle to form a travel chain, wherein the length of the travel chain is the number of travel routes in the travel chain, ignoring samples with the length of the travel chain being more than 10 and with extremely small occupied ratio, and obtaining the discrete probability distribution condition of the length of the travel chain.
As a preferred aspect of the present invention, step 5 further comprises the steps of:
B1. the travel chain represents the time and space coordinate change of the traveler within one day, and the travel chain with index is a set and comprises travel characteristic variables
Figure SMS_19
B2. Space chain consists of variables
Figure SMS_20
、/>
Figure SMS_23
and />
Figure SMS_26
Indicating (I)>
Figure SMS_22
and />
Figure SMS_24
Is->
Figure SMS_27
First->
Figure SMS_29
Grid cell TAZ corresponding to departure and destination of individual journey->
Figure SMS_21
Is->
Figure SMS_25
First->
Figure SMS_28
Travel distance of each travel;
B3. the travel chain of the space dimension is regarded as a Markov chain, and a space transition probability matrix is used
Figure SMS_30
Expressed as:
Figure SMS_31
wherein ,
Figure SMS_32
for the period to which any travel departure time belongs, 2h is taken as resolution, < >>
Figure SMS_33
Is recorded as period->
Figure SMS_34
Lower slave grid cell TAZ i The departure and destination are located in the grid cell TAZ j According to the history of journey->
Figure SMS_35
Data set, obtaining a spatial transition probability matrix +.>
Figure SMS_36
B4. The time chain variable includes
Figure SMS_37
, wherein ,/>
Figure SMS_41
and />
Figure SMS_44
Is->
Figure SMS_39
First->
Figure SMS_40
Departure time and arrival time of the respective journey, +.>
Figure SMS_43
Is->
Figure SMS_46
Each goes outLine chain->
Figure SMS_38
After the journey reaches the destination +.>
Figure SMS_42
Arrival time to the next, i.e., +.>
Figure SMS_45
The parking time between departure times of the strokes;
B5. for travel distance
Figure SMS_47
,/>
Figure SMS_48
For the current state of charge of the battery at the start, < >>
Figure SMS_49
Current state of charge of the battery at the time of arrival at the destination;
B6. adjacent travel characteristic variable recurrence relation in the same travel chain:
Figure SMS_50
Figure SMS_51
Figure SMS_52
namely the first
Figure SMS_53
The departure time of the secondary journey is equal to +.>
Figure SMS_54
The arrival time of the secondary journey plus the parking time +.>
Figure SMS_55
The departure point of the secondary journey is/>
Figure SMS_56
The arrival point of the secondary trip while ignoring the energy consumption during the stop.
As a preferred aspect of the present invention, step 6 further comprises the steps of:
C1. according to travel data
Figure SMS_57
Distance of travel->
Figure SMS_58
And battery capacity->
Figure SMS_59
Calculating the energy consumption per unit mileage in the journey>
Figure SMS_60
Figure SMS_61
The energy consumption of unit mileage when the electric automobile runs mainly comprises two aspects of power system energy consumption and temperature control system energy consumption:
Figure SMS_62
C2.
Figure SMS_63
the specific expression is as follows:
Figure SMS_64
wherein ,
Figure SMS_65
for average speed of journey>
Figure SMS_66
Is the average temperature of the travel;
C3.
Figure SMS_67
the energy consumption of the temperature control system, mainly an air conditioning system, can be expressed as:
Figure SMS_68
wherein ,
Figure SMS_69
for the mean temperature of the journey, +.>
Figure SMS_70
Travel time, air conditioner on probability and +.>
Figure SMS_71
The energy consumption value is related to +.>
Figure SMS_72
Proportional to the ratio;
C4. travel time
Figure SMS_73
For the journey arrival time +.>
Figure SMS_74
And departure time->
Figure SMS_75
Difference, travel speed->
Figure SMS_76
For distance of travel->
Figure SMS_77
Travel time->
Figure SMS_78
The ratio of the travel characteristic variables is determined or calculated from the historical travel data +.>
Figure SMS_79
C5. Integrating the C1-C4, constructing a multi-element nonlinear model describing the relation between the stroke energy consumption and the stroke characteristic variable:
Figure SMS_80
according to the historical travel data, performing parameter fitting on the model to obtain coefficients
Figure SMS_81
~/>
Figure SMS_82
、/>
Figure SMS_83
~/>
Figure SMS_84
As a preferred aspect of the present invention, step 7 further comprises the steps of:
D1. grid cell TAZ j Number of travel chains going up
Figure SMS_85
Regarding the expected scale of the battery-powered electric vehicle in the grid unit, the calculation formula is as follows:
Figure SMS_86
wherein ,
Figure SMS_87
for grid cells->
Figure SMS_88
Population number (person) in (a) is->
Figure SMS_89
The amount (vehicle/person) is kept for a person-average motor vehicle,>
Figure SMS_90
in grid cell for the intended battery-change electric vehicle +.>
Figure SMS_91
Permeability (%);
D2. departure time of first-stage travel in travel chain
Figure SMS_92
According to the historical trip chain data, fitting to obtain normal distribution is as follows:
Figure SMS_93
D3. first-stage travel departure time
Figure SMS_94
Is +.>
Figure SMS_95
According to the historical trip chain data, the exponential distribution is obtained by fitting:
Figure SMS_96
As a preferred aspect of the present invention, step 8 further comprises the steps of:
E1. data preparation and single table Data (Tabular Data) definition, extracting feature variables of all R strokes from historical track Data
Figure SMS_98
, wherein ,/>
Figure SMS_102
The resolution is 2h for the time period of the travel departure time;
Figure SMS_104
departure grid cell and arrival grid cell for journey, +.>
Figure SMS_99
For distance of travel>
Figure SMS_100
For journey time +.>
Figure SMS_103
For the stopping time after the end of the journey, here, < > is given>
Figure SMS_105
Is a discrete variable, +.>
Figure SMS_97
Is a continuous variable, considered as interrelated single table data,/->
Figure SMS_101
A data primary key, each row in the table representing a new entity (trip);
E2. the CTGAN model is created based on a single table metadata structure, in which,
Figure SMS_106
the data type of (a) is set to "category", ">
Figure SMS_107
The data type of (2) is set to "numeric";
e3.ctgan model parameters and constraint settings thereof,
"performance_min_max_values" =false so that the synthesized data may contain values smaller or larger than the actual data, "performance_rotation" =true so that the synthesized data has the same decimal number as the actual data, "epochs" =500 training iterations of the GAN model 500 times, "cuda" =true allows the use of the GPU to accelerate modeling time, adding scalar inequality constraints to all continuous variable single columns so that the values are within a reasonable range;
E4. Training a CTGAN model by using real historical travel data according to E1-E3, and extracting and storing a condition generator G;
E5. calling a condition generator G to perform condition sampling, creating a condition object containing three types of discrete feature variables
Figure SMS_108
Selecting the most amount of historical travel dataChecking the training effect of the unbalanced data set by calling a condition generator G (z, condition) under a given discrete feature variable combination condition to generate 500 lines of data as generated travel data;
E6. and (3) generating travel data evaluation, namely commonly introducing the generated travel data and the historical travel data under different conditions into an evaluation_quality function, evaluating the quality of the generated travel data according to a single-column and column correlation index, and considering that the quality of the generated travel data is over-closed when the quality score of the weighted evaluation index is more than 85 percent, and the training model is qualified.
As a preferred aspect of the present invention, step 11 further comprises the steps of:
F1. according to step 7D1, determining the number of travel chains of each grid cell
Figure SMS_109
F2. Given season
Figure SMS_110
According to the historical air temperature data of the national weather science data center, extracting a characteristic day-hour air temperature set which is most sensitive to air temperature in the energy consumption of the electric automobile in the season >
Figure SMS_111
F3. Simulation implementation of TAZ from grid cells j Start of the first step
Figure SMS_112
The travel chains are extracted according to the step 4A5, and the travel chain travel number is +.>
Figure SMS_113
And extracting the first trip time according to the step 7>
Figure SMS_114
And go out for the first time->
Figure SMS_115
Confirm->
Figure SMS_116
Belonging to the period->
Figure SMS_117
F4. Obtaining spatial transition probability matrices of different time periods according to step 5B3
Figure SMS_118
Sampling confirms the destination of the first journey>
Figure SMS_119
F5. In the determined and belonged to
Figure SMS_121
,/>
Figure SMS_123
and />
Figure SMS_125
Next, the characteristic quantity ++of the first-stage stroke remainder generated by the condition generator G according to step 8>
Figure SMS_120
,/>
Figure SMS_124
,/>
Figure SMS_126
And calculates the first-stage stroke average speed +.>
Figure SMS_127
Arrival time->
Figure SMS_122
F6. Combining the determined characteristic quantities according to the energy consumption model of the step 6
Figure SMS_128
,/>
Figure SMS_129
,/>
Figure SMS_130
,/>
Figure SMS_131
And the average temperature of the stroke->
Figure SMS_132
Calculating +.>
Figure SMS_133
F7. Judging according to the power changing requirement in the step 9, if
Figure SMS_134
Less than or equal to the minimum psychological threshold->
Figure SMS_135
When the power is required to be changed, the power is smoothly transferred to F8; otherwise, no electricity changing requirement is generated, a travel chain of travel is continued normally, and the process jumps to F10;
F8. if it is
Figure SMS_136
Less than the minimum psychological threshold->
Figure SMS_137
In the case of a journey, then at the arrival point +.>
Figure SMS_138
Generating a power change demand according to the arrival time +.>
Figure SMS_139
Distribution of the demand for a change of electricity accumulated to a time period taking into account the temperature>
Figure SMS_140
F9. According to step 10, the power conversion loss time is calculated
Figure SMS_141
The method comprises the steps of carrying out a first treatment on the surface of the Further calculating the parking time of the power change behavior >
Figure SMS_142
The method comprises the steps of carrying out a first treatment on the surface of the Here, the first-stage stroke end-corrected parking time is a superposition of the power-change loss time and the parking time;
F10. determining the characteristic quantity of the departure place of the next travel according to the recurrence relation of the characteristic variables of adjacent travel in the same travel chain obtained in the step 5B6
Figure SMS_143
、/>
Figure SMS_144
,/>
Figure SMS_145
F11. Repeating F4-F10 until all the travel chains are completed
Figure SMS_146
A simulation process of the secondary journey;
F12. repeating F3-F11 until the grid cell TAZ is completed j Number n of battery-changing vehicles j Traversing all grid cells;
F13. F2-F12 is repeated, and traveling and power conversion processes of all vehicles are simulated for each seasonal scene.
The invention further aims to provide a two-stage power exchange station site selection and operation strategy collaborative optimization method based on seasonal space-time distribution of power exchange requirements, which specifically comprises the following steps:
step 12, dividing the area into S grid cells, wherein each grid cell is a power change requirement set and a power change station candidate site set, and the step 1 is performed. Wherein the power change requirement is consistent with the space-time distribution result of the predicted power change requirement obtained in the step 11, and the distribution is that
Figure SMS_147
Characterizing seasonal scenario->
Figure SMS_148
Down->
Figure SMS_149
Time period is in grid->
Figure SMS_150
The number of electricity changing demands generated on the battery;
step 13, determining a collaborative optimization target:
(1) The construction cost and expected operation cost of the power exchange station are reduced as much as possible;
(2) The impact of the electric automobile power exchange station on the power grid load is reduced as much as possible, and the electric automobile power exchange station is converted into economic indexes, namely the charging cost of the power battery is reduced as much as possible;
(3) The power conversion requirements from each time period to the power conversion station under different seasonal scenes are met;
step 14, model assumption:
(1) Dividing a natural year into continuous K period season scenes, and having different operation strategies under different season scenes, including an inventory plan and an ordered charging plan;
(2) The time of day is uniformly divided into T time periods, and the process that the undercharged battery is fully charged once can be assumed to be completed in a single time period T;
(3) Compared with the time period length, the power change process is short, the battery supply is sufficient, and the power change time length and the queuing are negligible;
(4) The electricity prices in one time period are the same, the peak-to-valley electricity prices exist in commercial electricity in one day, and the ordered charging plan is to determine the number of batteries to be charged in each time period;
(5) The battery is full, and all the remaining undercharged batteries are fully charged in the last period of one day;
Step 15, two-stage optimization model:
g1 Symbol description
I: candidate site (grid) set to
Figure SMS_151
Is an index;
j: a set of power change requirements (grids) to
Figure SMS_152
Is an index;
k: seasonal scenario classification set in natural years to
Figure SMS_153
Is an index;
t: a set of time periods within a day to
Figure SMS_154
Is an index;
Figure SMS_155
: at->
Figure SMS_156
Daily cost of land construction cost is reduced;
Figure SMS_157
:/>
Figure SMS_158
the number of power exchanging devices of the stage power exchanging station;
Figure SMS_159
:/>
Figure SMS_160
the number of charging devices of the secondary battery station;
Figure SMS_161
: seasonal scenario->
Figure SMS_162
Lower, time period->
Figure SMS_163
Inner cell->
Figure SMS_164
The generated electricity change demand (block);
Figure SMS_165
: period of->
Figure SMS_166
When the method is used, the real-time price of urban commercial electricity is obtained;
Figure SMS_167
: the battery replacement price;
Figure SMS_168
: maximum capacity of the battery;
Figure SMS_169
: exchange station->
Figure SMS_170
The daily folding cost of the stock and transfer cost of a spare battery is set at the position;
Figure SMS_171
: a very large positive number;
Figure SMS_172
: at->
Figure SMS_173
The daily folding cost of a power conversion unit facility is deployed at the position;
Figure SMS_174
: at->
Figure SMS_175
The daily folding cost of a charging bin facility is deployed at the position;
Figure SMS_176
: exchange station->
Figure SMS_177
Daily maintenance cost of one power conversion unit;
Figure SMS_178
: exchange station->
Figure SMS_179
Daily maintenance costs for one charging bin;
Figure SMS_180
: whether or not it is->
Figure SMS_181
Construction of the department->
Figure SMS_182
A step of power exchange;
Figure SMS_183
: seasonal scenario->
Figure SMS_184
Lower, period->
Figure SMS_185
Inner grid->
Figure SMS_186
The demand in (1) is- >
Figure SMS_187
Number of services;
Figure SMS_188
: seasonal scenario->
Figure SMS_189
Under->
Figure SMS_190
A battery stock number provided at the location;
Figure SMS_191
: seasonal scenario->
Figure SMS_192
Down in site->
Figure SMS_193
Middle period->
Figure SMS_194
The number of undercharged batteries to be charged;
Figure SMS_195
: seasonal scenario->
Figure SMS_196
Down in site->
Figure SMS_197
Middle period->
Figure SMS_198
The number of replaceable full cells in the battery;
g2 The first stage determines the site selection and grade decision x of the power exchange station which does not change along with the seasonal situation;
the objective function is:
Figure SMS_199
i.e. minimizing the sum of investment construction costs (including land costs and fixed facility construction costs) and the operating costs of the power exchange station, wherein the chase function
Figure SMS_200
For scene->
Figure SMS_201
The lower operation cost is influenced by the decision of the second stage;
the constraint conditions are as follows:
Figure SMS_202
site-level constraints, i.e.)>
Figure SMS_203
Only one level of sites can be arranged at the site;
Figure SMS_204
constructing at least one site;
Figure SMS_205
representing decision variable +.>
Figure SMS_206
Binary variable characteristics of (2);
g3 The second stage, optimizing the operation strategy of the inventory plan B and the charging plan B based on the seasonal scenario on the basis of the site selection and the level decision x determined in the first stage;
the objective function is:
Figure SMS_207
wherein ,
cost of maintenance of facilities
Figure SMS_208
Stock and transfer costs of backup batteries
Figure SMS_209
Battery charging cost
Figure SMS_210
Power conversion income of power conversion station
Figure SMS_211
The constraint conditions are as follows:
Figure SMS_212
only in- >
Figure SMS_213
Station establishment can only distribute the power change requirement to +.>
Figure SMS_214
A place;
Figure SMS_215
grid cell under arbitrary conditions->
Figure SMS_216
The power conversion requirements of the battery are met;
Figure SMS_217
the number of the full-power batteries available in any period of time is less than or equal to the battery stock number of the battery of the power exchange station;
Figure SMS_218
exchange station->
Figure SMS_219
In period->
Figure SMS_220
The charging number of the undercharged battery in the battery charger is smaller than the number of the charging bins;
Figure SMS_221
exchange station->
Figure SMS_222
The number of the battery stock in the battery charging bin is larger than or equal to the number of the battery charging bin;
Figure SMS_223
the number of the available full-charge batteries in the next time period is the number of the available full-charge batteries in the previous time period minus the number of the power conversion requirement consumption in the previous time period, and the number of the charged batteries is added;
Figure SMS_224
the number of the power exchanging devices (such as the robotic arms) can meet the power exchanging operation of any period;
Figure SMS_225
in the 1 st period, namely in the initial period of one day, all batteries are in a full-charge state;
Figure SMS_226
at the last period of one day, all undercharged batteries are charged;
Figure SMS_227
,/>
Figure SMS_228
is a positive integer variable;
Figure SMS_229
, />
Figure SMS_230
is a positive integer variable;
Figure SMS_231
,/>
Figure SMS_232
is a positive integer variable;
step 16, designing a solving algorithm of an optimization model;
h1 Observing the two-stage model in the step 15, wherein the first-stage model belongs to a 0-1 plan Binary Programming, and the second-stage model belongs to an integer plan Integer Programming, and the improved integer L-shaped algorithm is suitable for solving;
H2 The two-stage model of step 15 is expressed as a general form of stochastic programming:
Figure SMS_233
wherein ,
Figure SMS_234
,/>
Figure SMS_235
decision variables representing the first phase, +.>
Figure SMS_236
Representing a solution space of a first stage;
Figure SMS_237
,/>
Figure SMS_238
normalized expression of the ensemble decision variables for the second phase, wherein +.>
Figure SMS_239
Comprises->
Figure SMS_240
,/>
Figure SMS_241
,/>
Figure SMS_242
Figure SMS_243
For the different situations of the second phase +.>
Figure SMS_244
The following constraint normalized expressionFormula (I), wherein->
Figure SMS_245
Figure SMS_246
,/>
Figure SMS_247
Respectively a technical matrix, a resource matrix and a compensation coefficient matrix;
Figure SMS_248
decision variable of the second stage->
Figure SMS_249
The value is a positive integer;
introduction of H3 into a New variable
Figure SMS_250
The main problem (first stage problem) is converted into:
Figure SMS_251
s.t.
Figure SMS_252
Figure SMS_253
wherein ,
Figure SMS_254
the integer L-shaped algorithm is an improvement of the stochastic programming model based on a branching and cutting algorithm, and the center thinking is: according to the binary characteristic of the main problem decision variable x, searching a solution space by adopting a branch-and-bound tree, and solving the main problem by considering fixed values on the nodes; relaxation of
Figure SMS_255
Sequentially adding the optimal cuttingSearching branch-and-bound tree, iteratively solving the main problem to better approximate +.>
Figure SMS_256
Until a meeting +.>
Figure SMS_257
Is the optimal solution of (a);
if the second phase is assumed to be linear programming, constraint is to be imposed
Figure SMS_258
Relaxation to->
Figure SMS_259
Then the linear optimality cut can be constructed directly according to the dual problem, namely
Figure SMS_260
wherein ,
Figure SMS_261
is the probability of a scene occurrence, < >>
Figure SMS_262
Is->
Figure SMS_263
During iteration, the second-stage sub-problem is optimally decorrelated as a dual variable;
if the second stage in the two-stage model is an integer programming problem, an integer optimality cut defined by the first stage for 0-1 programming is adopted, namely
Figure SMS_264
wherein ,
Figure SMS_265
is->
Figure SMS_266
Solution vector of the first stage 0-1 variable at multiple iterations,>
Figure SMS_267
the definition is as follows: />
Figure SMS_268
Index ∈1>
Figure SMS_269
Set of->
Figure SMS_270
Is->
Figure SMS_271
Lower bound of (2);
in addition, as the two-stage model has no upper cost limit constraint, any feasible solution of the first stage is feasible for the problem of the second stage, no sub-problem is unbounded, and a feasibility cut needs to be added;
h4 The integer L-shaped algorithm comprises the following specific steps:
(1) Order the
Figure SMS_272
For the upper bound of the objective function, initialize +.>
Figure SMS_273
,/>
Figure SMS_274
Or appropriately (I)>
Figure SMS_275
The initial value is set to +.>
Figure SMS_276
Or a suitable lower bound, ignored in solution; taking an initial main problem without adding an optimality cut as a root node, and creating a node list of a branch-and-bound tree;
(2) Order the
Figure SMS_277
Selecting a node from the list as the current master question, if not, terminating;
(3) Solving the current main problem, if no feasible solution exists, the node ascertains, and jumps to (2); otherwise, order
Figure SMS_278
Turning to (4) for the optimal solution;
(4) Judging if
Figure SMS_279
The current node ascertains and jumps to (2); otherwise, go to (5);
(5) Checking integer constraint (whether the value is 0 or 1), if the constraint is not satisfied, creating two new branches according to the normal branching process, adding new nodes into the child node list, jumping to (2), otherwise, jumping to (6);
(6) Calculating the desired compensation function value of the second stage problem of linear relaxation
Figure SMS_280
If so, the most non-optimal solution can be cut off through the linear optimality generated by the linear relaxation problem of the second stage, and the linear optimality cut in H3 is added to the main problem corresponding to the current node and is jumped (3); otherwise go to (7);
(7) For the following
Figure SMS_281
Calculate +.>
Figure SMS_282
And->
Figure SMS_283
If->
Figure SMS_284
Update the upper bound->
Figure SMS_285
Judging whether or not +.>
Figure SMS_286
If it meetsThe current node ascertains and jumps to (2); otherwise, adding integer optimality cuts in H3 to the main problem corresponding to the current node and jumping to (3).
The invention has the advantages and positive effects that:
1. the method is different from a method for predicting the power conversion requirement based on travel investigation data, solves the problem that the mechanism of the power conversion requirement rule of the electric automobile is not clear under the low-temperature condition, and is based on multi-source data analysis such as real travel history tracks, power conversion records and air temperature reports of the electric automobile, sampling is performed by using a CTGAN (Conditional Tabular Generative Adversarial Networks) condition generator, a method for acquiring the space-time distribution of the power conversion requirement taking temperature factors into consideration is provided, and extraction and modeling of the seasonal space-time distribution rule of the power conversion requirement are realized;
2. The invention is different from the existing supply side demand coverage site selection method and peak clipping and valley filling energy management and control method, the application constructs a two-stage power exchange station site selection and operation strategy collaborative optimization model based on seasonal space-time distribution of power exchange demands, and the first stage does not consider seasonal scene change to determine site selection and grade decision of the power exchange station; the second stage optimizes the operation strategy of the inventory plan B and the charging plan B based on the seasonal scene, so that the balance between the rapid increase of the power change demand and the gradient expansion of the power change infrastructure supply is realized;
3. aiming at solving the NP difficult problem by the collaborative optimization model of the two-stage power exchange station site selection and operation strategy, the invention designs an improved integer L-shaped algorithm flow to obtain an optimal solution in view of the fact that the first stage belongs to a 0-1 planning model and the second stage belongs to an integer planning model.
Drawings
Other objects and attainments together with a more complete understanding of the invention will become apparent and appreciated by referring to the following description taken in conjunction with the accompanying drawings. In the drawings:
FIG. 1 is a flow chart of a method for acquiring space-time distribution of power conversion requirements taking temperature factors into consideration in an embodiment of the invention;
fig. 2 is a flowchart of a method for constructing a collaborative optimization method for site selection and operation strategies of a two-stage power exchange station based on seasonal space-time distribution of power exchange requirements in an embodiment of the invention.
Detailed Description
In the following description, for purposes of explanation, numerous specific details are set forth in order to provide a thorough understanding of one or more embodiments. It may be evident, however, that such embodiment(s) may be practiced without these specific details. In other instances, well-known structures and devices are shown in block diagram form in order to facilitate describing one or more embodiments.
Example 1
Fig. 1 shows a schematic overall structure according to an embodiment of the present invention.
As shown in fig. 1, the method for obtaining the space-time distribution of the power conversion requirement taking into consideration the temperature factor according to the embodiment of the invention is characterized by comprising the following steps:
step 1, dividing the whole area into S regular hexagonal grids with side length of 500m as basic grid units TAZ according to the geographic information of the research area j。
Step 2, acquiring GPS track data of historical travel of the electric automobile, wherein the resolution is less than one minute, and the information of each time stamp comprises vehicle ID, longitude, latitude, speed, time and current state of charge
Figure SMS_287
)。/>
And step 3, acquiring historical meteorological data of the target city, wherein the historical meteorological data comprise hour-level historical temperature data of the day with the lowest average temperature in each season in a corresponding track data time period.
Step 4, screening historical effective travel from the acquired track data and matching the historical effective travel with temperature data to acquire travel chain length probability;
preprocessing GPS track data, namely eliminating invalid data according to whether longitude and latitude are in the range of a research area, whether abnormal values exist in information such as speed, time and the like;
A2. judging the travel, wherein the travel comprises a travel process and a stopping process of the travel ending, and if the speed is 0 and the duration exceeds 15min, the travel ending enters the stopping process; the starting time of the next speed which is not 0 is recorded as the beginning of the next stroke;
A3. calculating historical travel characteristic variables, and counting the track data frames of each travel to obtain travel characteristic variables, wherein the travel characteristic variables comprise a departure grid unit, a departure time and a departure
Figure SMS_288
Travel distance, travel time, average speed, arrival at grid cell, arrival time, parking time, arrival +.>
Figure SMS_289
A4. Acquiring the stroke average temperature information, and expanding the average temperature of the stroke into the history effective stroke information according to matching of the departure time and arrival time of the stroke with the history temperature data;
A5. and counting the length of the travel chain and probability distribution thereof, namely connecting all travel routes within one day of a single vehicle to form a travel chain, wherein the length of the travel chain is the number of travel routes in the travel chain, ignoring samples with the length of the travel chain being more than 10 and with extremely small occupied ratio, and obtaining the discrete probability distribution condition of the length of the travel chain.
Step 5, constructing a travel chain model based on the actual travel behavior of the electric automobile;
B1. the travel chain represents the time and space coordinate change of the traveler within one day, and the travel chain with index is a set and comprises travel characteristic variables
Figure SMS_290
B2. Space chain consists of variables
Figure SMS_292
、/>
Figure SMS_295
and />
Figure SMS_298
Indicating (I)>
Figure SMS_293
and />
Figure SMS_296
Is->
Figure SMS_299
First->
Figure SMS_300
Grid cell TAZ corresponding to departure and destination of individual journey->
Figure SMS_291
Is->
Figure SMS_294
First->
Figure SMS_297
Travel distance of each travel;
B3. the travel chain of the space dimension is regarded as a Markov chain, and a space transition probability matrix is used
Figure SMS_301
Expressed as:
Figure SMS_302
wherein ,
Figure SMS_303
for the period to which any travel departure time belongs, 2h is taken as resolution, < >>
Figure SMS_304
Is recorded as period->
Figure SMS_305
Lower slave grid cell TAZ i The departure and destination are located in the grid cell TAZ j According to the history of journey->
Figure SMS_306
Data set, obtain space transformerShift probability matrix->
Figure SMS_307
B4. The time chain variable includes
Figure SMS_310
, wherein ,/>
Figure SMS_312
and />
Figure SMS_315
Is->
Figure SMS_308
First->
Figure SMS_313
Departure time and arrival time of the respective journey, +.>
Figure SMS_316
Is->
Figure SMS_317
First->
Figure SMS_309
After the journey reaches the destination +.>
Figure SMS_311
Arrival time to the next, i.e., +.>
Figure SMS_314
The parking time between departure times of the strokes;
B5. for travel distance
Figure SMS_318
,/>
Figure SMS_319
For the current state of charge of the battery at the start, < > >
Figure SMS_320
Current state of charge of the battery at the time of arrival at the destination;
B6. adjacent travel characteristic variable recurrence relation in the same travel chain:
Figure SMS_321
Figure SMS_322
Figure SMS_323
;/>
namely the first
Figure SMS_324
The departure time of the secondary journey is equal to +.>
Figure SMS_325
The arrival time of the secondary journey plus the parking time +.>
Figure SMS_326
The departure point of the secondary journey is +.>
Figure SMS_327
The arrival point of the secondary trip while ignoring the energy consumption during the stop.
Step 6, constructing a journey energy consumption model;
C1. according to travel data
Figure SMS_328
Distance of travel->
Figure SMS_329
And battery capacity->
Figure SMS_330
Calculating the energy consumption per unit mileage in the journey>
Figure SMS_331
Figure SMS_332
The energy consumption of unit mileage when the electric automobile runs mainly comprises two aspects of power system energy consumption and temperature control system energy consumption:
Figure SMS_333
C2.
Figure SMS_334
the specific expression is as follows:
Figure SMS_335
wherein ,
Figure SMS_336
for average speed of journey>
Figure SMS_337
Is the average temperature of the travel;
C3.
Figure SMS_338
the energy consumption of the temperature control system, mainly an air conditioning system, can be expressed as:
Figure SMS_339
wherein ,
Figure SMS_340
for the mean temperature of the journey, +.>
Figure SMS_341
Travel time, air conditioner on probability and +.>
Figure SMS_342
The energy consumption value is related to +.>
Figure SMS_343
Proportional to the ratio;
C4. travel time
Figure SMS_344
For the journey arrival time +.>
Figure SMS_345
And departure time->
Figure SMS_346
Difference, travel speed->
Figure SMS_347
For distance of travel->
Figure SMS_348
Travel time->
Figure SMS_349
The ratio of the travel characteristic variables is determined or calculated from the historical travel data +. >
Figure SMS_350
C5. Integrating the C1-C4, constructing a multi-element nonlinear model describing the relation between the stroke energy consumption and the stroke characteristic variable:
Figure SMS_351
according to the historical travel data, performing parameter fitting on the model to obtain coefficients
Figure SMS_352
~/>
Figure SMS_353
、/>
Figure SMS_354
~/>
Figure SMS_355
Step 7, determiningDetermining the number of travel chains on each grid by using the characteristic quantity of the travel chains and the probability distribution function of the characteristic quantity
Figure SMS_356
Departure time of first-stage journey ∈ ->
Figure SMS_357
And initial battery state of charge +.>
Figure SMS_358
D1. Grid cell TAZ j Number of travel chains going up
Figure SMS_359
Regarding the expected scale of the battery-powered electric vehicle in the grid unit, the calculation formula is as follows:
Figure SMS_360
wherein ,
Figure SMS_361
for grid cells->
Figure SMS_362
Population number (person) in (a) is->
Figure SMS_363
The amount (vehicle/person) is kept for a person-average motor vehicle,>
Figure SMS_364
in grid cell for the intended battery-change electric vehicle +.>
Figure SMS_365
Permeability (%);
D2. departure time of first-stage travel in travel chain
Figure SMS_366
According to the historical trip chain data, fitting to obtain normal distribution is as follows:
Figure SMS_367
D3. first-stage travel departure time
Figure SMS_368
Is +.>
Figure SMS_369
According to the historical trip chain data, the exponential distribution is obtained by fitting:
Figure SMS_370
step 8, training a journey feature variable association distribution model and sampling by an application condition generator, adopting a CTGAN model in a Python open source synthesis database SDV to construct a journey feature variable association distribution model, and applying a CTGAN condition generator to sample journey feature variables under given journey departure time period and origin-destination grid conditions;
E1. Data preparation and single table Data (Tabular Data) definition, extracting feature variables of all R strokes from historical track Data
Figure SMS_373
, wherein ,/>
Figure SMS_375
The resolution is 2h for the time period of the travel departure time;
Figure SMS_377
departure grid cell and arrival grid cell for journey, +.>
Figure SMS_372
For distance of travel>
Figure SMS_374
For journey time +.>
Figure SMS_376
For the stopping time after the end of the journey, here,/>
Figure SMS_378
Is a discrete variable, +.>
Figure SMS_371
Is a continuous variable, is regarded as single table data associated with each other, r is a data primary key, and each row in the table represents a new entity (travel);
E2. the CTGAN model is created based on a single table metadata structure, in which,
Figure SMS_379
the data type of (a) is set to "category", ">
Figure SMS_380
The data type of (2) is set to "numeric";
e3.ctgan model parameters and constraint settings thereof,
"performance_min_max_values" =false so that the synthesized data may contain values smaller or larger than the actual data, "performance_rotation" =true so that the synthesized data has the same decimal number as the actual data, "epochs" =500 training iterations of the GAN model 500 times, "cuda" =true allows the use of the GPU to accelerate modeling time, adding scalar inequality constraints to all continuous variable single columns so that the values are within a reasonable range;
E4. Training a CTGAN model by using real historical travel data according to E1-E3, and extracting and storing a condition generator G;
E5. calling a condition generator G to perform condition sampling, creating a condition object containing three types of discrete feature variables
Figure SMS_381
Selecting the 10 largest and the 10 smallest discrete characteristic variable combinations in the historical travel data, and checking the training effect of the unbalanced data set, namely calling a condition generator G (z, condition) under a given discrete characteristic variable combination condition to generate 500 lines of data as the travel data;
E6. and (3) generating travel data evaluation, namely commonly introducing the generated travel data and the historical travel data under different conditions into an evaluation_quality function, evaluating the quality of the generated travel data according to a single-column and column correlation index, and considering that the quality of the generated travel data is over-closed when the quality score of the weighted evaluation index is more than 85 percent, and the training model is qualified.
Step 9, judging the power change requirement after each stroke is finished; at the end of each trip, in the current state of charge
Figure SMS_383
Selecting an observation index for a power change, the lowest psychological threshold value of the driver +.>
Figure SMS_386
Selecting a reference index for the power change, < >>
Figure SMS_388
For season index, the judgment rule is as follows: tracking time- >
Figure SMS_382
Travel reaches grid cell TAZ j Generating a power change demand at the place; otherwise, the power-exchanging requirement is not generated, and the next travel of the travel chain is continued; here, winter +.>
Figure SMS_385
The value is 0.3, and the spring is +.>
Figure SMS_387
And autumn->
Figure SMS_389
The value is 0.25, summer +.>
Figure SMS_384
The value was 0.27.
Step 10, calculating the power-changing bypass loss; the power conversion behavior is an energy supplementing process outside the normal travel behavior, and the power conversion vehicle returns to the original travel chain after finishing the power conversion process; assuming a battery-change travel distance
Figure SMS_390
Obeying 0 ~ 4km of uniform distribution, the commutation detour loss time is calculated as +.>
Figure SMS_391
,/>
Figure SMS_392
For the average speed of the last travel, the battery after power change is +.>
Figure SMS_393
Obeying a normal distribution N (0.9,0.05) with an upper limit of 1.
Step 11, based on travel mode simulation, forecasting space-time distribution of the power conversion requirement by considering the influence of air temperature change;
F1. according to step 7D1, determining the number of travel chains of each grid cell
Figure SMS_394
F2. Given season k, extracting characteristic day-hour air temperature set of most sensitive electric automobile energy consumption to air temperature under the season according to historical air temperature data of national weather science data center
Figure SMS_395
F3. Simulation implementation of TAZ from grid cells j Start of the first step
Figure SMS_396
The travel chains are extracted according to the step 4A5, and the travel chain travel number is +.>
Figure SMS_397
And extracting the first trip time according to the step 7 >
Figure SMS_398
And go out for the first time->
Figure SMS_399
Confirm->
Figure SMS_400
Belonging to the period->
Figure SMS_401
;/>
F4. Obtaining spatial transition probability matrices of different time periods according to step 5B3
Figure SMS_402
Sampling confirms the destination of the first journey>
Figure SMS_403
F5. In the determined and belonged to
Figure SMS_405
,/>
Figure SMS_408
and />
Figure SMS_410
Next, the characteristic quantity ++of the first-stage stroke remainder generated by the condition generator G according to step 8>
Figure SMS_406
,/>
Figure SMS_407
,/>
Figure SMS_409
And calculates the first-stage stroke average speed +.>
Figure SMS_411
Arrival time->
Figure SMS_404
F6. Combining the determined characteristic quantities according to the energy consumption model of the step 6
Figure SMS_412
,/>
Figure SMS_413
,/>
Figure SMS_414
,/>
Figure SMS_415
And the average temperature of the stroke->
Figure SMS_416
Calculating +.>
Figure SMS_417
F7. Judging according to the power changing requirement in the step 9, if
Figure SMS_418
Less than or equal to the minimum psychological threshold->
Figure SMS_419
When the power is required to be changed, the power is smoothly transferred to F8; otherwise, no electricity changing requirement is generated, a travel chain of travel is continued normally, and the process jumps to F10;
F8. if it is
Figure SMS_420
Less than the minimum psychological threshold->
Figure SMS_421
In the case of a journey, then at the arrival point +.>
Figure SMS_422
Generating a power change demand according to the arrival time +.>
Figure SMS_423
Distribution of the demand for a change of electricity accumulated to a time period taking into account the temperature>
Figure SMS_424
F9. According to step 10, the power conversion loss time is calculated
Figure SMS_425
The method comprises the steps of carrying out a first treatment on the surface of the Further calculating the parking time of the power change behavior>
Figure SMS_426
The method comprises the steps of carrying out a first treatment on the surface of the Here, the first-stage stroke end-corrected parking time is a superposition of the power-change loss time and the parking time;
F10. determining the characteristic quantity of the departure place of the next travel according to the recurrence relation of the characteristic variables of adjacent travel in the same travel chain obtained in the step 5B6
Figure SMS_427
、/>
Figure SMS_428
,/>
Figure SMS_429
F11. Repeating F4-F10 until all the travel chains are completed
Figure SMS_430
A simulation process of the secondary journey;
F12. repeating F3-F11 until the grid cell TAZ is completed j Number n of battery-changing vehicles j Traversing all grid cells;
F13. F2-F12 is repeated, and traveling and power conversion processes of all vehicles are simulated for each seasonal scene.
Example 2
Fig. 2 shows a schematic overall structure according to an embodiment of the present invention.
The embodiment provides a two-stage power exchange station site selection and operation strategy collaborative optimization method based on seasonal space-time distribution of power exchange requirements, which specifically comprises the following steps:
step 12, dividing the area into S grid cells, wherein each grid cell is a power change requirement set and a power change station candidate site set, and the step 1 is performed. Wherein the power change requirement is consistent with the space-time distribution result of the predicted power change requirement obtained in the step 11, and the distribution is that
Figure SMS_431
Characterizing seasonal scenario->
Figure SMS_432
Down->
Figure SMS_433
Time period is in grid->
Figure SMS_434
The number of electricity changing demands generated on the battery;
step 13, determining a collaborative optimization target:
(1) The construction cost and expected operation cost of the power exchange station are reduced as much as possible;
(2) The impact of the electric automobile power exchange station on the power grid load is reduced as much as possible, and the electric automobile power exchange station is converted into economic indexes, namely the charging cost of the power battery is reduced as much as possible;
(3) The power conversion requirements from each time period to the power conversion station under different seasonal scenes are met;
step 14, model assumption:
(1) Dividing a natural year into continuous K period season scenes, and having different operation strategies under different season scenes, including an inventory plan and an ordered charging plan;
(2) The time of day is uniformly divided into T time periods, and the process that the undercharged battery is fully charged once can be assumed to be completed in a single time period T;
(3) Compared with the time period length, the power change process is short, the battery supply is sufficient, and the power change time length and the queuing are negligible;
(4) The electricity prices in one time period are the same, the peak-to-valley electricity prices exist in commercial electricity in one day, and the ordered charging plan is to determine the number of batteries to be charged in each time period;
(5) The battery is full, and all the remaining undercharged batteries are fully charged in the last period of one day;
step 15, two-stage optimization model:
g1 Symbol description
I: candidate site (grid) set to
Figure SMS_435
Is an index;
j: a set of power change requirements (grids) to
Figure SMS_436
Is an index;
k: seasonal scenario classification set in natural years to
Figure SMS_437
Is an index;
t: a set of time periods within a day to
Figure SMS_438
Is an index;
Figure SMS_439
: at->
Figure SMS_440
Daily cost of land construction cost is reduced;
Figure SMS_441
:/>
Figure SMS_442
the number of power exchanging devices of the stage power exchanging station;
Figure SMS_443
:/>
Figure SMS_444
the number of charging devices of the secondary battery station;
Figure SMS_445
: seasonal scenario->
Figure SMS_446
Lower, time period->
Figure SMS_447
Inner cell->
Figure SMS_448
The generated electricity change demand (block);
Figure SMS_449
: period of->
Figure SMS_450
When the method is used, the real-time price of urban commercial electricity is obtained;
Figure SMS_451
: the battery replacement price;
Figure SMS_452
: maximum capacity of the battery;
Figure SMS_453
: exchange station->
Figure SMS_454
The daily folding cost of the stock and transfer cost of a spare battery is set at the position;
Figure SMS_455
: a very large positive number;
Figure SMS_456
: at->
Figure SMS_457
The daily folding cost of a power conversion unit facility is deployed at the position;
Figure SMS_458
: at->
Figure SMS_459
The daily folding cost of a charging bin facility is deployed at the position;
Figure SMS_460
: exchange station->
Figure SMS_461
Daily maintenance cost of one power conversion unit;
Figure SMS_462
: exchange station->
Figure SMS_463
Daily maintenance costs for one charging bin;
Figure SMS_464
: whether or not it is->
Figure SMS_465
Construction of the department->
Figure SMS_466
A step of power exchange;
Figure SMS_467
: seasonal scenario->
Figure SMS_468
Lower, period->
Figure SMS_469
Inner grid->
Figure SMS_470
The demand in (1) is->
Figure SMS_471
Number of services;
Figure SMS_472
: seasonal scenario->
Figure SMS_473
Under->
Figure SMS_474
A battery stock number provided at the location;
Figure SMS_475
: seasonal scenario->
Figure SMS_476
Down in site->
Figure SMS_477
Middle period->
Figure SMS_478
The number of undercharged batteries to be charged;
Figure SMS_479
: seasonal scenario->
Figure SMS_480
Down in site->
Figure SMS_481
Middle period- >
Figure SMS_482
The number of replaceable full cells in the battery;
g2 The first stage determines the site selection and grade decision x of the power exchange station which does not change along with the seasonal situation;
the objective function is:
Figure SMS_483
i.e. minimizing the sum of investment construction costs (including land costs and fixed facility construction costs) and the operating costs of the power exchange station, wherein the chase function
Figure SMS_484
For scene->
Figure SMS_485
The lower operation cost is influenced by the decision of the second stage;
the constraint conditions are as follows:
Figure SMS_486
site-level constraints, i.e.)>
Figure SMS_487
Only one level of sites can be arranged at the site; />
Figure SMS_488
Constructing at least one site;
Figure SMS_489
representing decision variable +.>
Figure SMS_490
Binary variable characteristics of (2);
g3 The second stage, optimizing the operation strategy of the inventory plan B and the charging plan B based on the seasonal scenario on the basis of the site selection and the level decision x determined in the first stage;
the objective function is:
Figure SMS_491
wherein ,
cost of maintenance of facilities
Figure SMS_492
Stock and transfer costs of backup batteries
Figure SMS_493
Battery charging cost
Figure SMS_494
Power conversion income of power conversion station
Figure SMS_495
The constraint conditions are as follows:
Figure SMS_496
only in->
Figure SMS_497
Station establishment can only distribute the power change requirement to +.>
Figure SMS_498
A place;
Figure SMS_499
grid cell under arbitrary conditions->
Figure SMS_500
The power conversion requirements of the battery are met;
Figure SMS_501
the number of the full-power batteries available in any period of time is less than or equal to the battery stock number of the battery of the power exchange station;
Figure SMS_502
Exchange station->
Figure SMS_503
In period->
Figure SMS_504
The charging number of the undercharged battery in the battery charger is smaller than the number of the charging bins;
Figure SMS_505
exchange station->
Figure SMS_506
The number of the battery stock in the battery charging bin is larger than or equal to the number of the battery charging bin;
Figure SMS_507
the number of the available full-charge batteries in the next time period is the number of the available full-charge batteries in the previous time period minus the number of the power conversion requirement consumption in the previous time period, and the number of the charged batteries is added;
Figure SMS_508
the number of the power exchanging devices (such as the robotic arms) can meet the power exchanging operation of any period;
Figure SMS_509
in the 1 st period, namely in the initial period of one day, all batteries are in a full-charge state;
Figure SMS_510
at the last period of one day, all undercharged batteries are charged;
Figure SMS_511
,/>
Figure SMS_512
is a positive integer variable;
Figure SMS_513
, />
Figure SMS_514
is a positive integer variable;
Figure SMS_515
,/>
Figure SMS_516
is a positive integer variable; />
Step 16, designing a solving algorithm of an optimization model;
h1 Observing the two-stage model in the step 15, wherein the first-stage model belongs to a 0-1 plan Binary Programming, and the second-stage model belongs to an integer plan Integer Programming, and the improved integer L-shaped algorithm is suitable for solving;
h2 The two-stage model of step 15 is expressed as a general form of stochastic programming:
Figure SMS_517
wherein ,
Figure SMS_518
,/>
Figure SMS_519
decision variables representing the first phase, +.>
Figure SMS_520
Representing a solution space of a first stage;
Figure SMS_521
,/>
Figure SMS_522
normalized expression of the ensemble decision variables for the second phase, wherein +. >
Figure SMS_523
Comprises->
Figure SMS_524
,/>
Figure SMS_525
,/>
Figure SMS_526
Figure SMS_527
For the different situations of the second phase +.>
Figure SMS_528
Normalized expression of constraint conditions belowIn a manner of, wherein->
Figure SMS_529
Figure SMS_530
,/>
Figure SMS_531
Respectively a technical matrix, a resource matrix and a compensation coefficient matrix;
Figure SMS_532
decision variable of the second stage->
Figure SMS_533
The value is a positive integer;
introduction of H3 into a New variable
Figure SMS_534
The main problem (first stage problem) is converted into:
Figure SMS_535
s.t.
Figure SMS_536
Figure SMS_537
wherein ,
Figure SMS_538
the integer L-shaped algorithm is an improvement of the stochastic programming model based on a branching and cutting algorithm, and the center thinking is: according to the binary characteristic of the main problem decision variable x, searching a solution space by adopting a branch-and-bound tree, and solving the main problem by considering fixed values on the nodes; relaxation of
Figure SMS_539
Adding optimal cuts in sequence does notBreaking the search branch-and-bound tree, iteratively solving the main problem to better approximate +.>
Figure SMS_540
Until a meeting +.>
Figure SMS_541
S.t is an abbreviation for subject to, representing the meaning obeyed;
if the second phase is assumed to be linear programming, constraint is to be imposed
Figure SMS_542
Relaxation to->
Figure SMS_543
Then the linear optimality cut can be constructed directly according to the dual problem, namely
Figure SMS_544
wherein ,
Figure SMS_545
is the probability of a scene occurrence, < >>
Figure SMS_546
Is->
Figure SMS_547
During iteration, the second-stage sub-problem is optimally decorrelated as a dual variable;
if the second stage in the two-stage model is an integer programming problem, an integer optimality cut defined by the first stage for 0-1 programming is adopted, namely
Figure SMS_548
wherein ,
Figure SMS_549
is->
Figure SMS_550
Solution vector of the first stage 0-1 variable at multiple iterations,>
Figure SMS_551
the definition is as follows: />
Figure SMS_552
Index ∈1>
Figure SMS_553
Set of->
Figure SMS_554
Is->
Figure SMS_555
Lower bound of (2);
in addition, as the two-stage model has no upper cost limit constraint, any feasible solution of the first stage is feasible for the problem of the second stage, no sub-problem is unbounded, and a feasibility cut needs to be added;
h4 The integer L-shaped algorithm comprises the following specific steps:
(1) Order the
Figure SMS_556
For the upper bound of the objective function, initialize +.>
Figure SMS_557
,/>
Figure SMS_558
Or appropriately (I)>
Figure SMS_559
The initial value is set to +.>
Figure SMS_560
Or a suitable lower bound, ignored in solution; taking an initial main problem without adding an optimality cut as a root node, and creating a node list of a branch-and-bound tree;
(2) Order the
Figure SMS_561
Selecting one from the listThe node is used as the current main problem, if the node does not exist, the node is terminated;
(3) Solving the current main problem, if no feasible solution exists, the node ascertains, and jumps to (2); otherwise, order
Figure SMS_562
Turning to (4) for the optimal solution;
(4) Judging if
Figure SMS_563
The current node ascertains and jumps to (2); otherwise, go to (5);
(5) Checking integer constraint (whether the value is 0 or 1), if the constraint is not satisfied, creating two new branches according to the normal branching process, adding new nodes into the child node list, jumping to (2), otherwise, jumping to (6);
(6) Calculating the desired compensation function value of the second stage problem of linear relaxation
Figure SMS_564
If so, the most non-optimal solution can be cut off through the linear optimality generated by the linear relaxation problem of the second stage, and the linear optimality cut in H3 is added to the main problem corresponding to the current node and is jumped (3); otherwise go to (7);
(7) For the following
Figure SMS_565
Calculate +.>
Figure SMS_566
And->
Figure SMS_567
If->
Figure SMS_568
Update the upper bound->
Figure SMS_569
Judging whether or not +.>
Figure SMS_570
If yes, the current node ascertains and jumps to (2); otherwise, adding integer optimality cuts in H3 to the main problem corresponding to the current node and jumping to (3).
The foregoing is merely illustrative embodiments of the present invention, but the scope of the present invention is not limited thereto, and any person skilled in the art can easily think about variations or substitutions within the technical scope of the present invention, and the invention should be covered. Therefore, the protection scope of the invention is subject to the protection scope of the claims.

Claims (8)

1. The method for acquiring the space-time distribution of the power conversion requirement by considering the temperature factor is characterized by comprising the following steps of:
step 1, dividing the whole area into S regular hexagonal grids with side length of 500m as basic grid units TAZ according to the geographic information of the research area j
Step 2, acquiring GPS track data of historical travel of the electric automobile, wherein the resolution is less than one minute, and the information of each time stamp comprises a vehicle ID, longitude, latitude, speed, time and current charge state;
step 3, acquiring historical meteorological data of the target city, wherein the historical meteorological data comprise hour-level historical temperature data of the day with the lowest average temperature in each season in a corresponding track data time period;
step 4, screening historical effective travel from the acquired track data and matching the historical effective travel with temperature data to acquire travel chain length probability;
step 5, constructing a travel chain model based on the actual travel behavior of the electric automobile;
step 6, constructing a journey energy consumption model;
step 7, determining the characteristic quantity of the travel chains and the probability distribution function thereof, and determining the quantity of the travel chains on each grid
Figure QLYQS_1
Departure time of first-stage journey ∈ ->
Figure QLYQS_2
And initial battery state of charge +.>
Figure QLYQS_3
Step 8, training a journey feature variable association distribution model and sampling by an application condition generator, adopting a CTGAN model in a Python open source synthesis database SDV to construct a journey feature variable association distribution model, and applying a CTGAN condition generator to sample journey feature variables under given journey departure time period and origin-destination grid conditions;
Step 9, judging the power change requirement after each stroke is finished; at the end of each trip, in the current state of charge
Figure QLYQS_4
Selecting an observation index for a power change, the lowest psychological threshold value of the driver +.>
Figure QLYQS_8
Selecting a reference index for the power change, < >>
Figure QLYQS_10
For season index, the judgment rule is as follows: tracking time->
Figure QLYQS_5
Travel reaches grid cell TAZ j Generating a power change demand at the place; otherwise, the power-exchanging requirement is not generated, and the next travel of the travel chain is continued; here, winter +.>
Figure QLYQS_7
The value is 0.3, and the spring is +.>
Figure QLYQS_9
And autumn->
Figure QLYQS_11
The value is 0.25, summer +.>
Figure QLYQS_6
The value is 0.27;
step 10, calculating the power-changing bypass loss; the power conversion behavior is an energy supplementing process outside the normal travel behavior, and the power conversion vehicle returns to the original travel chain after finishing the power conversion process; assuming a battery-change travel distance
Figure QLYQS_12
Obeying 0 ~ 4km of uniform distribution, the commutation detour loss time is calculated as +.>
Figure QLYQS_13
,/>
Figure QLYQS_14
For the average speed of the last travel, the battery after power change is +.>
Figure QLYQS_15
Normal distribution N (0.9,0.05) obeying the upper limit of the value of 1;
and 11, based on travel mode simulation, forecasting space-time distribution of the power conversion requirement by considering the influence of air temperature change.
2. The method for obtaining the space-time distribution of the power change demand taking into consideration the temperature factor according to claim 1, wherein the method further comprises the following steps in step 4:
Preprocessing GPS track data, namely eliminating invalid data according to whether longitude and latitude are in the range of a research area, whether abnormal values exist in information such as speed, time and the like;
A2. judging the travel, wherein the travel comprises a travel process and a stopping process of the travel ending, and if the speed is 0 and the duration exceeds 15min, the travel ending enters the stopping process; the starting time of the next speed which is not 0 is recorded as the beginning of the next stroke;
A3. calculating historical travel characteristic variables, and counting the track data frames of each travel to obtain travel characteristic variables, wherein the travel characteristic variables comprise departure grid units and departure timeStarting from
Figure QLYQS_16
Travel distance, travel time, average speed, arrival at grid cell, arrival time, parking time, arrival +.>
Figure QLYQS_17
A4. Acquiring the stroke average temperature information, and expanding the average temperature of the stroke into the history effective stroke information according to matching of the departure time and arrival time of the stroke with the history temperature data;
A5. and counting the length of the travel chain and probability distribution thereof, namely connecting all travel routes within one day of a single vehicle to form a travel chain, wherein the length of the travel chain is the number of travel routes in the travel chain, ignoring samples with the length of the travel chain being more than 10 and with extremely small occupied ratio, and obtaining the discrete probability distribution condition of the length of the travel chain.
3. The method for obtaining the space-time distribution of the power change demand taking into consideration the temperature factor according to claim 1, wherein the method further comprises the following steps in step 5:
B1. the travel chain represents the time and space coordinate change of the traveler within one day, and the travel chain with index is a set and comprises travel characteristic variables
Figure QLYQS_18
B2. Space chain consists of variables
Figure QLYQS_20
、/>
Figure QLYQS_22
and />
Figure QLYQS_24
Indicating (I)>
Figure QLYQS_21
and />
Figure QLYQS_25
Is->
Figure QLYQS_27
First->
Figure QLYQS_28
Grid cell TAZ corresponding to departure and destination of individual journey->
Figure QLYQS_19
Is->
Figure QLYQS_23
First->
Figure QLYQS_26
Travel distance of each travel;
B3. the travel chain of the space dimension is regarded as a Markov chain, and a space transition probability matrix is used
Figure QLYQS_29
Expressed as:
Figure QLYQS_30
wherein ,
Figure QLYQS_31
for the period to which any travel departure time belongs, 2h is taken as resolution, < >>
Figure QLYQS_32
Is recorded as period->
Figure QLYQS_33
Lower slave grid cell TAZ i The departure and destination are located in the grid cell TAZ j According to the history of journey->
Figure QLYQS_34
Data set, obtaining a spatial transition probability matrix +.>
Figure QLYQS_35
B4. The time chain variable includes
Figure QLYQS_37
, wherein ,/>
Figure QLYQS_40
and />
Figure QLYQS_44
Is->
Figure QLYQS_38
First->
Figure QLYQS_39
Departure time and arrival time of the respective journey, +.>
Figure QLYQS_42
Is->
Figure QLYQS_45
First->
Figure QLYQS_36
After the journey reaches the destination +.>
Figure QLYQS_41
Arrival time to the next, i.e., +.>
Figure QLYQS_43
The parking time between departure times of the strokes;
B5. For travel distance
Figure QLYQS_46
,/>
Figure QLYQS_47
For the current state of charge of the battery at the start, < >>
Figure QLYQS_48
Current state of charge of the battery at the time of arrival at the destination;
B6. adjacent travel characteristic variable recurrence relation in the same travel chain:
Figure QLYQS_49
Figure QLYQS_50
Figure QLYQS_51
namely the first
Figure QLYQS_52
The departure time of the secondary journey is equal to +.>
Figure QLYQS_53
The arrival time of the secondary journey plus the parking time +.>
Figure QLYQS_54
The departure point of the secondary journey is +.>
Figure QLYQS_55
The arrival point of the secondary trip while ignoring the energy consumption during the stop.
4. The method for obtaining the space-time distribution of the power change demand taking into consideration the temperature factor according to claim 1, wherein the method further comprises the following steps in step 6:
C1. according to travel data
Figure QLYQS_56
Distance of travel->
Figure QLYQS_57
And battery capacity->
Figure QLYQS_58
Calculating the energy consumption per unit mileage in the journey>
Figure QLYQS_59
Figure QLYQS_60
The energy consumption of unit mileage when the electric automobile runs mainly comprises two aspects of power system energy consumption and temperature control system energy consumption:
Figure QLYQS_61
C2.
Figure QLYQS_62
the specific expression is as follows:
Figure QLYQS_63
wherein ,
Figure QLYQS_64
for average speed of journey>
Figure QLYQS_65
Is the average temperature of the travel;
C3.
Figure QLYQS_66
for the purpose of energy consumption of the temperature control system,mainly, an air conditioning system can be expressed as:
Figure QLYQS_67
wherein ,
Figure QLYQS_68
for the mean temperature of the journey, +.>
Figure QLYQS_69
Travel time, air conditioner on probability and +.>
Figure QLYQS_70
The energy consumption value is related to +.>
Figure QLYQS_71
Proportional to the ratio;
C4. travel time
Figure QLYQS_72
For the journey arrival time +.>
Figure QLYQS_73
And departure time->
Figure QLYQS_74
Difference, travel speed->
Figure QLYQS_75
For distance of travel->
Figure QLYQS_76
Travel time->
Figure QLYQS_77
The ratio of the travel characteristic variables is determined or calculated from the historical travel data +.>
Figure QLYQS_78
C5. Integrating the C1-C4, constructing a multi-element nonlinear model describing the relation between the stroke energy consumption and the stroke characteristic variable:
Figure QLYQS_79
according to the historical travel data, performing parameter fitting on the model to obtain coefficients
Figure QLYQS_80
~/>
Figure QLYQS_81
、/>
Figure QLYQS_82
~/>
Figure QLYQS_83
5. The method for obtaining the space-time distribution of the power change demand taking into consideration the temperature factor according to claim 1, wherein the method further comprises the following steps in step 7:
D1. grid cell TAZ j Number of travel chains going up
Figure QLYQS_84
Regarding the expected scale of the battery-powered electric vehicle in the grid unit, the calculation formula is as follows:
Figure QLYQS_85
wherein ,
Figure QLYQS_86
for grid cells->
Figure QLYQS_87
Population number of->
Figure QLYQS_88
Keep the quantity for the motor vehicle of people and +.>
Figure QLYQS_89
In grid cell for the intended battery-change electric vehicle +.>
Figure QLYQS_90
Is a permeability of (b);
D2. departure time of first-stage travel in travel chain
Figure QLYQS_91
According to the historical trip chain data, fitting to obtain normal distribution is as follows:
Figure QLYQS_92
D3. first-stage travel departure time
Figure QLYQS_93
Is +.>
Figure QLYQS_94
According to the historical trip chain data, the exponential distribution is obtained by fitting:
Figure QLYQS_95
6. the method for obtaining the space-time distribution of the power change demand taking into consideration the temperature factor according to claim 1, wherein the method further comprises the following steps in step 8:
E1. Data preparation and single table data definition, extracting characteristic variables of all R strokes from historical track data
Figure QLYQS_97
, wherein ,/>
Figure QLYQS_100
The resolution is 2h for the time period of the travel departure time; />
Figure QLYQS_102
Departure grid cell and arrival grid cell for journey, +.>
Figure QLYQS_98
For distance of travel>
Figure QLYQS_101
For journey time +.>
Figure QLYQS_103
For the stopping time after the end of the journey, here, < > is given>
Figure QLYQS_104
Is a discrete variable, +.>
Figure QLYQS_96
Is a continuous variable, considered as interrelated single table data,/->
Figure QLYQS_99
A data primary key, each row in the table representing a new entity;
E2. the CTGAN model is created based on a single table metadata structure, in which,
Figure QLYQS_105
the data type of (a) is set to "category", ">
Figure QLYQS_106
The data type of (2) is set to "numeric";
e3.ctgan model parameters and constraint settings thereof,
"performance_min_max_values" =false so that the synthesized data may contain values smaller or larger than the actual data, "performance_rotation" =true so that the synthesized data has the same decimal number as the actual data, "epochs" =500 training iterations of the GAN model 500 times, "cuda" =true allows the use of the GPU to accelerate modeling time, adding scalar inequality constraints to all continuous variable single columns so that the values are within a reasonable range;
E4. Training a CTGAN model by using real historical travel data according to E1-E3, and extracting and storing a condition generator G;
E5. calling a condition generator G to perform condition sampling, creating a condition object containing three types of discrete feature variables
Figure QLYQS_107
Selecting the 10 largest and the 10 smallest discrete characteristic variable combinations in the historical travel data, and checking the training effect of the unbalanced data set, namely calling a condition generator G (z, condition) under a given discrete characteristic variable combination condition to generate 500 lines of data as the travel data;
E6. and (3) generating travel data evaluation, namely commonly introducing the generated travel data and the historical travel data under different conditions into an evaluation_quality function, evaluating the quality of the generated travel data according to a single-column and column correlation index, and considering that the quality of the generated travel data is over-closed when the quality score of the weighted evaluation index is more than 85 percent, and the training model is qualified.
7. The method for obtaining the space-time distribution of the power change demand taking into consideration the temperature factor according to claim 1, wherein the method further comprises the following steps in step 11:
F1. according to step 7D1, determining the number of travel chains of each grid cell
Figure QLYQS_108
F2. Given season
Figure QLYQS_109
Extracting the season according to the historical air temperature data of the national weather science data centerCharacteristic day-hour air temperature set for most sensitive energy consumption of lower electric automobile>
Figure QLYQS_110
F3. Simulation implementation of TAZ from grid cells j Start of the first step
Figure QLYQS_111
The travel chains are extracted according to the step 4A5, and the travel chain travel number is +.>
Figure QLYQS_112
And extracting the first trip time according to the step 7>
Figure QLYQS_113
And go out for the first time->
Figure QLYQS_114
Confirm->
Figure QLYQS_115
Belonging to the period->
Figure QLYQS_116
F4. Obtaining spatial transition probability matrices of different time periods according to step 5B3
Figure QLYQS_117
Sampling confirms the destination of the first journey>
Figure QLYQS_118
F5. In the determined and belonged to
Figure QLYQS_120
,/>
Figure QLYQS_122
and />
Figure QLYQS_124
Next, the characteristic quantity ++of the first-stage stroke remainder generated by the condition generator G according to step 8>
Figure QLYQS_121
,/>
Figure QLYQS_123
,/>
Figure QLYQS_125
And calculates the first-stage stroke average speed +.>
Figure QLYQS_126
Arrival time->
Figure QLYQS_119
F6. Combining the determined characteristic quantities according to the energy consumption model of the step 6
Figure QLYQS_127
,/>
Figure QLYQS_128
,/>
Figure QLYQS_129
,/>
Figure QLYQS_130
And the average temperature of the stroke->
Figure QLYQS_131
Calculating +.>
Figure QLYQS_132
F7. Judging according to the power changing requirement in the step 9, if
Figure QLYQS_133
Less than or equal to the minimum psychological threshold->
Figure QLYQS_134
When the power is required to be changed, the power is smoothly transferred to F8; otherwise, no electricity changing requirement is generated, a travel chain of travel is continued normally, and the process jumps to F10;
F8. if it is
Figure QLYQS_135
Less than the minimum psychological threshold->
Figure QLYQS_136
In the case of a journey, then at the arrival point +. >
Figure QLYQS_137
Generating a power change demand according to the arrival time +.>
Figure QLYQS_138
Distribution of the demand for a change of electricity accumulated to a time period taking into account the temperature>
Figure QLYQS_139
F9. According to step 10, the power conversion loss time is calculated
Figure QLYQS_140
The method comprises the steps of carrying out a first treatment on the surface of the Further calculating the parking time of the power change behavior>
Figure QLYQS_141
The method comprises the steps of carrying out a first treatment on the surface of the Here, the first-stage stroke end-corrected parking time is a superposition of the power-change loss time and the parking time;
F10. determining the characteristic quantity of the departure place of the next travel according to the recurrence relation of the characteristic variables of adjacent travel in the same travel chain obtained in the step 5B6
Figure QLYQS_142
、/>
Figure QLYQS_143
,/>
Figure QLYQS_144
F11. Repeating F4-F10 until all the travel chains are completed
Figure QLYQS_145
A simulation process of the secondary journey;
F12. repeating F3-F11 until the grid cell TAZ is completed j Number n of battery-changing vehicles j Traversing all grid cells;
F13. F2-F12 is repeated, and traveling and power conversion processes of all vehicles are simulated for each seasonal scene.
8. A two-stage power exchange station site selection and operation strategy collaborative optimization method based on seasonal space-time distribution of power exchange requirements is characterized by comprising the following steps:
step 12, dividing the area into S grid cells, wherein each grid cell is a power conversion requirement set and a power conversion station candidate site set, the power conversion requirement is consistent with the acquired space-time distribution result of the predicted power conversion requirement, and the distribution is that
Figure QLYQS_146
Characterizing seasonal scenario->
Figure QLYQS_147
Down->
Figure QLYQS_148
Time period is in grid->
Figure QLYQS_149
The number of electricity changing demands generated on the battery;
step 13, determining a collaborative optimization target:
(1) The construction cost and expected operation cost of the power exchange station are reduced as much as possible;
(2) The impact of the electric automobile power exchange station on the power grid load is reduced as much as possible, and the electric automobile power exchange station is converted into economic indexes, namely the charging cost of the power battery is reduced as much as possible;
(3) The power conversion requirements from each time period to the power conversion station under different seasonal scenes are met;
step 14, model assumption:
(1) Dividing a natural year into continuous K period season scenes, and having different operation strategies under different season scenes, including an inventory plan and an ordered charging plan;
(2) The time of day is uniformly divided into T time periods, and the process that the undercharged battery is fully charged once can be assumed to be completed in a single time period T;
(3) Compared with the time period length, the power change process is short, the battery supply is sufficient, and the power change time length and the queuing are negligible;
(4) The electricity prices in one time period are the same, the peak-to-valley electricity prices exist in commercial electricity in one day, and the ordered charging plan is to determine the number of batteries to be charged in each time period;
(5) The battery is full, and all the remaining undercharged batteries are fully charged in the last period of one day;
Step 15, two-stage optimization model:
g1 Symbol description
I: candidate site sets to
Figure QLYQS_150
Is an index;
j: a set of power change demands to
Figure QLYQS_151
Is an index;
k: seasonal scenario classification set in natural years to
Figure QLYQS_152
Is an index;
t: time of dayTo be assembled to
Figure QLYQS_153
Is an index;
Figure QLYQS_154
: at->
Figure QLYQS_155
Daily cost of land construction cost is reduced;
Figure QLYQS_156
:/>
Figure QLYQS_157
the number of power exchanging devices of the stage power exchanging station;
Figure QLYQS_158
:/>
Figure QLYQS_159
the number of charging devices of the secondary battery station;
Figure QLYQS_160
: seasonal scenario->
Figure QLYQS_161
Lower, time period->
Figure QLYQS_162
Inner cell->
Figure QLYQS_163
The electricity changing demand amount generated in the process;
Figure QLYQS_164
: period of->
Figure QLYQS_165
When the method is used, the real-time price of urban commercial electricity is obtained;
Figure QLYQS_166
: the battery replacement price;
Figure QLYQS_167
: maximum capacity of the battery;
Figure QLYQS_168
: exchange station->
Figure QLYQS_169
The daily folding cost of the stock and transfer cost of a spare battery is set at the position;
Figure QLYQS_170
: a very large positive number;
Figure QLYQS_171
: at->
Figure QLYQS_172
The daily folding cost of a power conversion unit facility is deployed at the position;
Figure QLYQS_173
: at->
Figure QLYQS_174
The daily folding cost of a charging bin facility is deployed at the position;
Figure QLYQS_175
: exchange station->
Figure QLYQS_176
Daily maintenance cost of one power conversion unit;
Figure QLYQS_177
: exchange station->
Figure QLYQS_178
Daily maintenance costs for one charging bin;
Figure QLYQS_179
: whether or not it is->
Figure QLYQS_180
Construction of the department->
Figure QLYQS_181
A step of power exchange;
Figure QLYQS_182
: seasonal scenario->
Figure QLYQS_183
Lower, period->
Figure QLYQS_184
Inner grid->
Figure QLYQS_185
The demand in (1) is->
Figure QLYQS_186
Number of services;
Figure QLYQS_187
: seasonal scenario- >
Figure QLYQS_188
Under->
Figure QLYQS_189
A battery stock number provided at the location;
Figure QLYQS_190
: seasonal scenario->
Figure QLYQS_191
Down in site->
Figure QLYQS_192
Middle period->
Figure QLYQS_193
The number of undercharged batteries to be charged;
Figure QLYQS_194
: seasonal scenario->
Figure QLYQS_195
Down in site->
Figure QLYQS_196
Middle period->
Figure QLYQS_197
The number of replaceable full cells in the battery;
g2 The first stage determines the site selection and grade decision x of the power exchange station which does not change along with the seasonal situation;
the objective function is:
Figure QLYQS_198
namely the investment construction cost and the operation of the power exchange stationThe sum of this expectation is minimized, wherein the chase function
Figure QLYQS_199
For scene->
Figure QLYQS_200
The lower operation cost is influenced by the decision of the second stage;
the constraint conditions are as follows:
Figure QLYQS_201
site-level constraints, i.e.)>
Figure QLYQS_202
Only one level of sites can be arranged at the site;
Figure QLYQS_203
constructing at least one site;
Figure QLYQS_204
representing decision variable +.>
Figure QLYQS_205
Binary variable characteristics of (2);
g3 The second stage, optimizing the operation strategy of the inventory plan B and the charging plan B based on the seasonal scenario on the basis of the site selection and the level decision x determined in the first stage;
the objective function is:
Figure QLYQS_206
wherein ,
cost of maintenance of facilities
Figure QLYQS_207
Standby for useInventory and transfer costs of batteries
Figure QLYQS_208
Battery charging cost
Figure QLYQS_209
Power conversion income of power conversion station
Figure QLYQS_210
The constraint conditions are as follows:
Figure QLYQS_211
only in->
Figure QLYQS_212
Station establishment can only distribute the power change requirement to +.>
Figure QLYQS_213
A place;
Figure QLYQS_214
grid cell under arbitrary conditions- >
Figure QLYQS_215
The power conversion requirements of the battery are met;
Figure QLYQS_216
the number of the full-power batteries available in any period of time is less than or equal to the battery stock number of the battery of the power exchange station;
Figure QLYQS_217
exchange station->
Figure QLYQS_218
In period->
Figure QLYQS_219
The charging number of the undercharged battery in the battery charger is smaller than the number of the charging bins;
Figure QLYQS_220
exchange station->
Figure QLYQS_221
The number of the battery stock in the battery charging bin is larger than or equal to the number of the battery charging bin;
Figure QLYQS_222
the number of the available full-charge batteries in the next time period is the number of the available full-charge batteries in the previous time period minus the number of the power conversion requirement consumption in the previous time period, and the number of the charged batteries is added;
Figure QLYQS_223
the number of the power exchanging devices can meet the power exchanging operation of any period of time;
Figure QLYQS_224
in the 1 st period, namely in the initial period of one day, all batteries are in a full-charge state;
Figure QLYQS_225
at the last period of one day, all undercharged batteries are charged;
Figure QLYQS_226
,/>
Figure QLYQS_227
is a positive integer variable;
Figure QLYQS_228
, />
Figure QLYQS_229
is a positive integer variable;
Figure QLYQS_230
,/>
Figure QLYQS_231
is a positive integer variable;
step 16, designing a solving algorithm of an optimization model;
h1 Observing the two-stage model in the step 15, wherein the first-stage model belongs to a 0-1 plan Binary Programming, and the second-stage model belongs to an integer plan Integer Programming, and the improved integer L-shaped algorithm is suitable for solving;
h2 The two-stage model of step 15 is expressed as a general form of stochastic programming:
Figure QLYQS_232
wherein ,
Figure QLYQS_233
,/>
Figure QLYQS_234
decision variables representing the first phase, +.>
Figure QLYQS_235
Representing a solution space of a first stage;
Figure QLYQS_236
,/>
Figure QLYQS_237
normalized expression of the ensemble decision variables for the second phase, wherein +.>
Figure QLYQS_238
Comprises->
Figure QLYQS_239
,/>
Figure QLYQS_240
,/>
Figure QLYQS_241
Figure QLYQS_242
For the different situations of the second phase +.>
Figure QLYQS_243
The constraint normalizes the expression, wherein +.>
Figure QLYQS_244
,/>
Figure QLYQS_245
Figure QLYQS_246
Respectively a technical matrix, a resource matrix and a compensation coefficient matrix;
Figure QLYQS_247
decision variable of the second stage->
Figure QLYQS_248
The value is a positive integer;
introduction of H3 into a New variable
Figure QLYQS_249
The main problem is converted into:
Figure QLYQS_250
s.t.
Figure QLYQS_251
Figure QLYQS_252
wherein ,
Figure QLYQS_253
the integer L-shaped algorithm is an improvement of the stochastic programming model based on a branching and cutting algorithm, and the center thinking is: according to the binary characteristic of the main problem decision variable x, searching a solution space by adopting a branch-and-bound tree, and solving the main problem by considering fixed values on the nodes; relaxation of
Figure QLYQS_254
Adding the optimality cuts in turn and searching the branch-and-bound tree continuously, and iteratively solving the main problem to better approximate +.>
Figure QLYQS_255
Until a meeting +.>
Figure QLYQS_256
Is the optimal solution of (a);
if the second phase is assumed to be linear programming, constraint is to be imposed
Figure QLYQS_257
Relaxation to->
Figure QLYQS_258
Then the linear optimality cut can be constructed directly according to the dual problem, namely
Figure QLYQS_259
wherein ,
Figure QLYQS_260
is the probability of a scene occurrence, < >>
Figure QLYQS_261
Is->
Figure QLYQS_262
During iteration, the second-stage sub-problem is optimally decorrelated as a dual variable;
If the second stage in the two-stage model is an integer programming problem, an integer optimality cut defined by the first stage for 0-1 programming is adopted, namely
Figure QLYQS_263
wherein ,
Figure QLYQS_264
is->
Figure QLYQS_265
Solution vector of the first stage 0-1 variable at multiple iterations,>
Figure QLYQS_266
the definition is as follows: />
Figure QLYQS_267
Index ∈1>
Figure QLYQS_268
Set of->
Figure QLYQS_269
Is->
Figure QLYQS_270
Lower bound of (2);
in addition, as the two-stage model has no upper cost limit constraint, any feasible solution of the first stage is feasible for the problem of the second stage, no sub-problem is unbounded, and a feasibility cut needs to be added;
h4 The integer L-shaped algorithm comprises the following specific steps:
(1) Order the
Figure QLYQS_271
For the upper bound of the objective function, initialize +.>
Figure QLYQS_272
,/>
Figure QLYQS_273
Or appropriately (I)>
Figure QLYQS_274
The initial value is set to +.>
Figure QLYQS_275
Or a suitable lower bound, ignored in solution; taking an initial main problem without adding an optimality cut as a root node, and creating a node list of a branch-and-bound tree;
(2) Order the
Figure QLYQS_276
Selecting a node from the list as the current main problem, and terminating if the node does not exist;
(3) Solving the current main problem, if no feasible solution exists, the node ascertains, and jumps to (2); otherwise, order
Figure QLYQS_277
Turning to (4) for the optimal solution;
(4) Judging if
Figure QLYQS_278
Then the current node detectsBright and jump to (2); otherwise, go to (5);
(5) Checking integer constraint, if the constraint is not satisfied, creating two new branches according to a normal branching process, adding new nodes into a child node list, jumping to (2), otherwise, jumping to (6);
(6) Calculating the desired compensation function value of the second stage problem of linear relaxation
Figure QLYQS_279
If so, the most non-optimal solution can be cut off through the linear optimality generated by the linear relaxation problem of the second stage, and the linear optimality cut in H3 is added to the main problem corresponding to the current node and is jumped (3); otherwise go to (7);
(7) For the following
Figure QLYQS_280
Calculate +.>
Figure QLYQS_281
And->
Figure QLYQS_282
If->
Figure QLYQS_283
Update the upper bound->
Figure QLYQS_284
Judging whether or not +.>
Figure QLYQS_285
If yes, the current node ascertains and jumps to (2); otherwise, adding integer optimality cuts in H3 to the main problem corresponding to the current node and jumping to (3).
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