PREDICTION METHOD FOR CHARGING LOADS OF ELECTRIC VEHICLES WITH CONSIDERATION OF DATA CORRELATION

Abstract
A prediction method for charging loads of electric vehicles with consideration of data correlation includes: collecting historical data of the charging loads of the electric vehicles; carrying out data correlation analysis on the historical data of the charging loads of the electric vehicles, and real-time data, and calculating correlation coefficients between the historical data of the charging loads of the electric vehicles and the real-time data; based on the correlation coefficients, selecting historical data of the charging loads of the electric vehicles, which has high correlation, as data of the charging loads of the electric vehicles, which is used for prediction; and predicting the historical data of the charging loads of the electric vehicles, serving as the data of the charging loads of the electric vehicles, which is used for prediction, by adopting an LSTM algorithm, to obtain prediction results.
Description
CROSS REFERENCE TO RELATED APPLICATIONS

This application claims foreign priority of Chinese Patent Application No. 202110978765.2, filed on Aug. 25, 2021 in the China National Intellectual Property Administration, the disclosures of all of which are hereby incorporated by reference.


TECHNICAL FIELD

The present invention belongs to the technical field of data analysis of loads of electric vehicles, relates to a prediction method for charging loads of electric vehicles, and particularly relates to a prediction method for charging loads of electric vehicles with consideration of data correlation.


BACKGROUND OF THE PRESENT INVENTION

As the energy and environment problems are increasingly prominent, in order to implement the national energy development strategy and construct a modern energy system which is clean, efficient, safe and sustainable, electric vehicles have been developed energetically. From 2018 to 2020, in public service vehicles, the newly increased number of electric vehicles each year is increased to 30%-50%. On March 20, in the Sub-Forum of ‘New Revolution of Automobile Industry’ of 2021 Annual Meeting of China Development High-Level Forum, Yongwei Zhang, who is the vice president and the secretary-general of the 100-People Meeting of Electric Vehicles of China, expressed that holdings of electric vehicles of China should be within a range of 80,000,000 before and after 2030 according to the prediction. The popularization of the electric vehicles has a great effect on the structure of a power demand side, which can cause new growth points of power demands and loads in a period of time in the future.


Charging behaviors of the electric vehicles have the characteristics of randomness and fluctuation, and the charging features are possibly constrained by multiple factors, such as habits of users, the SOC (State of Charge) of a system and the like. As the electric vehicles are gradually large-scale, the disorderly charging and randomness of the electric vehicles cause relevant problems, such as the increase of a peak load of a power grid, unbalanced operation of a power distribution network, harmonic waves in the system and the like. Meanwhile, the electric vehicles, serving as mobile energy storage equipment, can provide assistance in the aspects of peak clipping and valley filling of the power grid, collaborative consumption of new energy and the like after reasonable charging management is realized. However, the existing prediction method for charging loads of the electric vehicles has the defects that the prediction is very difficult, the reliability of the prediction is not high, etc.


SUMMARY OF PRESENT INVENTION

In order to overcome the defects in the prior art, the present invention provides a prediction method for charging loads of electric vehicles with consideration of data correlation, which is reasonable in design, simple and convenient in use and reliable in prediction results.


The present invention adopts the following technical solutions to solve the practical problems:


the prediction method for the charging loads of the electric vehicles with consideration of the data correlation comprises the following steps:


Step 1: collecting historical data of charging loads of electric vehicles;


Step 2: carrying out data correlation analysis on the historical data of the charging loads of the electric vehicles, which is collected in Step 1, and real-time data, and calculating correlation coefficients between the historical data of the charging loads of the electric vehicles and the real-time data;


Step 3: according to correlation coefficients obtained through calculation in Step 2, selecting historical data of the charging loads of the electric vehicles, which has high correlation, as data of the charging loads of the electric vehicles, which is used for prediction;


Step 4: predicting the historical data of the charging loads of the electric vehicles, which has high correlation and is selected in Step 3, serving as the data of the charging loads of the electric vehicles, which is used for prediction, by adopting an LSTM (Long Short Term Memory) algorithm, to obtain prediction results.


Moreover, a specific method of the Step 1 comprises: collecting the historical data of the charging loads of the electric vehicles of that very day and ten typical days at a certain area.


Moreover, a specific method of the Step 2 comprises: calculating the correlation of historical data of the charging loads of the electric vehicles of each day and real data of that very day by utilizing Excel software, to obtain the correlation coefficients between the historical data of the charging loads of the electric vehicles and the real-time data, wherein the calculation formula is:










r
xy

=


S
xy



S
x



S
y







(
1
)







wherein rxy represents a correlation coefficient of samples; Sxy represents the sample covariance; Sx represents the sample standard deviation of x; and Sy represents the sample standard deviation of y. In this case, x represents the data of the ten typical days, and y represents the data of that very day.


Moreover, a specific method of the Step 3 comprises:


according to a sequence of the correlation coefficients from small to big, selecting top five groups of data with the biggest correlation coefficients, i.e., five groups of data with the highest correlation, as the data of the charging loads of the electric vehicles, which is used for prediction.


Moreover, the Step 4 specifically comprises the following steps:


(1) inputting the data xt of the charging loads of the electric vehicles, which is used for prediction and is obtained in Step 3, and carrying out processing of a forgetting stage of a forgetting gate on load data xt of each time point firstly, wherein a calculation formula is shown as follows:






f
t=σ(Wf·[ht-1,xt]+bf)


(2) then, carrying out processing of a cell state updating stage of an input gate on ft, wherein a calculation formula is shown as follows:






C
t
=f
t
*C
t-1
+i
t
*{tilde over (C)}t


(3) finally, carrying out processing of an output stage of an output gate on Ct, wherein calculation formulas are shown as follows:





0t=σ(Wo·[ht-1,xt]+bo)






h
t=0t*tan h(Ct)


(4) taking load data obtained after the load data of one time point is processed by the three gate stages as legacy information ht-1 of a previous cell, and enabling the legacy information ht-1 and load data of a new time point to participate in recursive processing of the three gate stages again, to obtain load prediction values ht of 96 time points in one day finally.


The present invention has the advantages and beneficial effects that:


According to the prediction method for the charging loads of the electric vehicles with consideration of the data correlation, which is proposed by the present invention, the data correlation analysis is carried out on the historical data of the charging loads of the electric vehicles and the real-time data, and the data with the biggest correlation coefficients is selected as the load data used for prediction, so that the work load of data processing can be effectively reduced, the prediction method is simplified, and the predication accuracy is improved. Reasonable prediction of charging demands of the electric vehicles has important significance for the aspects of stable operation of a power grid, dispatching of the charging loads of the electric vehicles, researching of an orderly charging strategy and the like.





DESCRIPTION OF THE DRAWINGS


FIG. 1 is a flow chart of processing of the present invention;



FIG. 2 is a diagram of prediction results of the present invention; and



FIG. 3 is a diagram of error percentage results of the present invention.





DETAILED DESCRIPTION OF PREFERRED EMBODIMENTS

Embodiments of the present invention are further described in detail below through combination with the drawings.


A prediction method for charging loads of electric vehicles with consideration of data correlation, as shown in FIG. 1, comprises the following steps:


Step 1: collecting historical data of the charging loads of the electric vehicles.


In the embodiment, research objects are collected, namely, historical data of charging loads of electric vehicles at a certain area is collected as basic data for correlation processing.


The research objects are collected, namely, data of charging loads at a certain area of that very day and ten typical days ((D-1)-(D-10)) is collected as basic data for correlation processing.


Step 2: carrying out data correlation analysis on the historical data of the charging loads of the electric vehicles, which is collected in the Step 1, and real-time data, and calculating correlation coefficients between the historical data of the charging loads of the electric vehicles and the real-time data.


In the embodiment, the correlation of the historical data of the charging loads of the electric vehicles of each day and real data of that very day is calculated by utilizing Excel software, to obtain the correlation coefficients between the historical data of the charging loads of the electric vehicles and the real-time data.


The data correlation analysis is carried out on the historical data (i.e., the basic data) of the charging loads of the electric vehicles and the real real-time data of that very day, and the correlation of the historical data of the charging loads of the electric vehicles of each day and the real data of that very day is calculated by utilizing the Excel software, to obtain the correlation coefficients between the historical data (i.e., the basic data) of the charging loads of the electric vehicles and the real-time data.


A correlation coefficient method is adopted in the present invention, the correlation coefficient refers to a statistical index reflecting the intimacy level of the relation between variables, and the value interval of the correlation coefficient is 1−(−1); 1 represents that the two variables are in perfect linear correlation, −1 represents that the two variables are in perfect negative correlation, and 0 represents that the two variables are uncorrelated; and the closer the data is to 0, the weaker the correlation is.


The calculation formula of the correlation coefficient in the Step 2 is shown as (1):










r
xy

=


S
xy



S
x



S
y







(
1
)







wherein rxy represents a correlation coefficient of samples; Sxy represents a sample covariance; Sx represents a sample standard deviation of x; Sy represents the sample standard deviation of y; and in such the situation, x represents the data of the ten typical days, and y represents the data of that very day.


Step 3: according to the correlation coefficients obtained through calculation in the Step 2, selecting historical data of the charging loads of the electric vehicles, which has high correlation, as data of the charging loads of the electric vehicles, which is used for prediction.


The correlation of the historical data (i.e., the basic data) of the charging loads of the electric vehicles is analyzed by utilizing the correlation coefficients, and top five groups of data with the biggest correlation coefficients are selected as load data used for prediction; and according to the sequence of the correlation coefficients from small to big, the top five groups of data with the biggest correlation coefficients, i.e., the five groups of data with the highest correlation, is selected as the data of the charging loads of the electric vehicles, which is used for prediction.


Step 4: predicting the data of the charging loads of the electric vehicles, which is used for prediction and is selected in the Step 3, by adopting an LSTM algorithm, to obtain prediction results.


The Step 4 specifically comprises the following steps:


inputting the data Xt of the charging loads of the electric vehicles, which is used for prediction and is selected in the Step 3, and carrying out processing of a forgetting stage of a forgetting gate on load data Xt of each time point firstly, wherein the calculation formula is shown as follows:






f
t=σ(Wf·[ht-1,xt]+bf)


then, carrying out processing of a cell state updating stage of an input gate on a result ft obtained by processing of the forgetting stage of the forgetting gate, wherein the calculation formula is shown as follows:






C
t
=f
t
*C
t-1
+i
t
*{tilde over (C)}t


finally, carrying out processing of an output stage of an output gate on Ct, wherein the calculation formulas are shown as follows:





0t=σ(Wo·[ht-1,xt]+bo)






h
t=0t*tan h(Ct)


taking load data obtained after the load data of one time point is processed by the three gate stages as legacy information ht-1 of a previous cell, and enabling the legacy information ht-1 and load data of a new time point to participate in recursive processing of the three gate stages again, to obtain load prediction values ht of 96 time points in one day finally.


In the embodiment, LSTM has the structure which is generally consistent with an RNN (Recurrent Neural Network), but duplicate modules have different structures. The LSTM has four network layers which are different from a single neural network layer of the RNN, and the four network layers are interacted with one another in a very special manner. Through the manner, previous information which is distorted easily is screened and integrated into new information, and the new information is reserved; the reserved new information and new information entering at the same time are superposed at a certain proportion; and finally, the superposed information is output by a tan h function. In addition, an LSTM network can be used for capturing long time slice dependency and deciding that which information needs to be reserved, and which information needs to be forgotten.


The present invention is further described below by a specific example:


Step 1: collecting research objects, wherein in the example, data of charging loads of that very day and days (D-1)-(D-10) at a certain area is collected as basic data for correlation processing, and the details are shown in Tab. 1;


Step 2: carrying out data correlation analysis on the basic data and calculating correlation of data of each day and real data of that very day by utilizing Excel software, so as to obtain correlation coefficients between the basic data,


wherein the calculation formula of the correlation coefficient is shown as (1):











(
1
)



r
xiy


=


S
xiy



S
xi



S
y







(
1
)







wherein rxiy represents a correlation coefficient of an ith group of samples; Sxiy represents the covariance of data of the day D-i and the data of that very day; Sxi represents the sample standard deviation of xi, i.e. the ten typical days (D-1)-(D-10); Sxi represents the sample standard deviation of a dependent variable y, i.e. the data of that very day; and according to the formula, the sample standard deviations of the ten days (D-1)-(D-10) and the sample standard deviation of the real data of that very day need to be calculated firstly, and then, the covariance between the data of the days (D-1)-(D-10) and the data of that very day is calculated, to obtain the correlation coefficient between predicted data according to the formula (1);


front 200 pieces of data in the collected data is calculated, to obtain the sample standard deviations of the ten days (D-1)-(D-10) and the sample standard deviation of the real data of that very day, which are respectively shown as follows:


Sx1=15518.7702, Sx2=15306.236, Sx3=15234.1388,


Sx4=15170.64539, Sx5=15365.59057, Sx6=15411.0932,


Sx7=15365.21298, Sx8=15183.83278, Sx9=15254.04272,


Sx10=15335.72268, Sy=15563.67394.


the covariance between the data of the days (D-1)-(D-10) and the data of that very day, which is shown as follows:


Sx1y=230556230.1, Sx2y=226709123.7, Sx37=224826730.8,


Sx4y=225406997.5, Sx5y=230894694.9, Sx67=234740896.6,


Sx7y=234712143.6, Sx8y=229462672.7, Sx9y=231249625.3,


Sx10y=233008103.1.


the correlation coefficients between the data of the days (D-1)-(D-10) and the data of that very day can be obtained through calculation according to the calculation formula of the correlation coefficients, which are respectively shown as follows:


rx1y=0.9546, rx2y=0.9517, rx3y=0.9482, rx4y=0.9547, rx5y=0.9655,


rx6y=0.9787, rx7y=0.9815, rx8y=0.9715, rx8y=0.9741, rx10y=0.9762


(Four decimals are reserved through rounding.);


The standard deviation refers to respective standard deviation of the data of the selected ten typical days, and the covariance is obtained by calculating the data of each of the ten typical days and the data of that very day; and the verified content is the correlation degree of the selected ten typical days and that very day.


Step 3: analyzing the correlation of the basic data by utilizing the correlation coefficients and selecting load data used for prediction.


The sequence of the correlation of the data of the days (D-1)-(D-10) and the data of that very day can be obtained according to the data in the Step 2, which is shown as follows: Sx7y>Sx6y>Sx10y>Sx9y>Sx8y>Sx5y>Sx4y>Sx1y>Sx2y>Sx3y.


Five days with the highest correlation with the data of that very day are a day D-7, a day D-6, a day D-10, a day D-9 and a day D-8, and therefore, the data of the five days are selected as the load data used for prediction;


Step 4: predicting the selected load data by adopting an LSTM algorithm, to obtain prediction results.


LSTM is a long short term memory network, which is a time RNN and is suitable for processing and predicting an important event with a relatively longer interval and a relatively longer delay in a time sequence.


LSTM and the RNN have the main difference that a ‘processor’ for judging that whether information is useful or not is added into the algorithm in the LSTM, and a functional structure of the processor is called a cell.


Three gates are placed in one cell, which are an input gate, a forgetting gate and an output gate; one piece of information enters the LSTM network and can be judged to be useful or not according to a rule; and only information in conformity with the algorithm is reserved, and information which is not in conformity with the algorithm is forgotten by the forgetting gate.


A process of processing the information in the cell is shown as follows:


A first stage: a forgetting stage of the forgetting gate, wherein the stage is mainly used for selectively forgetting input transmitted by a last node; simply, the stage is used for ‘forgetting unimportant information and remembering important information’; specifically, the decision is made by an S-shaped network layer of a so-called ‘forgetting gate layer’; the cell is used for receiving legacy information ht-1 of a last cell and external information xt, and for each number in a cell state Ct-1, the output value is between 0 and 1; 1 represents ‘completely accepting the information’, and 0 represents ‘completely neglecting the information’; and a forgetting formula is shown as (2):






f
t=σ(Wf·[ht-1,xt]+bf)  (2)


wherein ft represents data information after being processed by the forgetting gate; Wf represents a weight matrix; bf represents an offset vector corresponding to the forgetting gate; ht-1 represents the legacy information of the last cell; xt represents input external data information; and σ represents carrying out forgetting processing of the forgetting gate on the data.


A second stage: a cell state updating stage of the input gate, wherein the stage is used for selectively ‘remembering’ input in the stage, comprising two parts: a first part is that an S-shaped network layer of a so-called ‘input gate layer’ is used for determining that which information needs to be updated, and a second part is that a tan h-shaped network layer is used for establishing a new alternative value vector {tilde over (C)}t, which can be added into the cell state; the above two parts are combined in the next step, so as to update the state;


Results obtained in the above two steps are added, so as to obtain Ct after state updating, and a cell state updating formula is shown as (3):






C
t
=f
t
*C
t-1
+i
t
*{tilde over (C)}t  (3)


wherein Ct represents a cell state after being updated; ft represents data information after being processed by the forgetting gate; Ct-1 represents a state before the cell is updated; {tilde over (C)}t represents the new alternative value vector established by the tan h-shaped network layer; and it represents an established parameter calculated by the input gate.


A third stage: an output stage of the output gate, wherein the stage is used for deciding that which information is regarded as output of a current state; firstly, the S-shaped network layer is operated, which is used for determining that which parts in the cell state can be output: then, the cell state is input into tan h (the numerical value is adjusted between −1 and 1.) and then is multiplied by the output value of the S-shaped network layer, so that the parts which a user wants to output can be output; and output formulas are shown as (4) and (5):





0t=σ(Wo·[ht-1,xt]+bo)  (4)






h
t=0t*tan h(Ct)  (5)


The meanings of symbols are the same as the meanings of the above symbols.


LSTM prediction is carried out on the data by adopting MATLAB (Matrix Laboratory) software, and prediction results are shown in Tab. 2; a diagram of the prediction results is shown in FIG. 2, wherein predicted output refers to prediction results obtained according to five groups of load data which has the highest correlation coefficients and is used for prediction, and expected output refers to the real data of that very day; and it can be seen from the prediction results in FIG. 2 that the fitting degree of the predicted output and the expected output is good; and


Step 5: analyzing the prediction results by adopting an error analysis method and evaluating the accuracy of the prediction method.


The results are explained by adopting the error analysis method based on the prediction results; and an error calculation formula is shown as (6):






C
t=(Qct−Qyt)/Qct  (6)


wherein Ct represents the error percentage at a moment t; Qct represents the actual value at the moment t; Qyt represents the prediction value at the moment t; and the error analysis method can be used for effectively evaluating the prediction accuracy and proving the prediction accuracy.


A diagram of error prediction percentage results is shown in FIG. 3, the error range of the prediction results at the time is: (−0.1, 0.16], and the maximum prediction error is 16%, which proves that the prediction method is good, and the credibility is higher. Moreover, the overall prediction method is small in calculated amount, relatively easy in calculation difficulty and higher in operability.















TABLE 1







Time
D-1 load
D-2 load
D-3 load
D-4 load
D-5 load
D-6 load


point
data
data
data
data
data
data





1
44543
40134.48
48603.71
49001.1233
47747.6533
51246.99


2
39089.2467
35961.72
44701.79
45634.93
43371.9633
51246.99


3
35626.2233
32606.2133
41699.0967
41656.3933
40661.7767
51246.99


4
32862.2233
28800.4033
39009.6567
38487.1633
38484.5667
51246.99


5
31366.73
28786.2033
37829.33
38109.43
36966.96
51246.99


6
27394.7733
26815.5167
33262.0667
34165.8767
32620.0233
34068.3633


7
24655.7333
23999.3567
29858.6267
30571.0867
28691.35
30119.31


8
22012.09
22247.5567
26473.8433
28691.63
26258.17
28010.2567


9
21940.68
23287.56
26147.07
29873.34
26047.7667
27503.9333


10
20108.4133
20482.9167
23603.8633
28651.1433
23390.4233
24875.2833


11
18457.0333
18114.8333
21278.9267
22119.2667
21084.2133
22254.46


12
16584.4633
16704.19
19614.17
20150.0667
18504.42
20036.8867


13
16095.4
15633.3167
17841.6867
18442.02
17468.69
18314.2967


14
15477.37
14372.28
16482.02
17288.8933
15913.2433
16326.7267


15
14437.92
13477.43
14926.0633
15497.21
14331.9133
14879.1


16
13492.7533
12130.7967
14419.9667
14275.6233
13283.03
13792.3433


17
12589.4633
11167.0933
13541.2833
13187.7833
12613.0367
13040.6367


18
11902.1667
10107.7867
12578.3633
12725.2833
11666.3967
12526.1767


19
10873
9413.2333
11422.98
12393.13
10950.25
11823.92


20
8382
7176.2167
8800.72
10165.3067
8334.1933
9430.4733


21
8445.0833
7455.3633
8226.54
9861.4233
8385.5233
8976.57


22
8971.2233
8004.3167
8674.1533
9845.7033
8749.34
9225.18


23
9967.4033
9657.6033
10545.54
10606.4
10149.02
9754.01


24
11262.1933
10686.0433
12038.9767
11082.4
11968.54
11538.7367


25
11813.5667
11720.64
13079.9367
12176.0167
13019.45
13065.7967


26
12806.1733
13568.0367
14252.7867
14144.54
14707.5833
15128.4833


27
13076.99
14301.2867
14843.2667
14992.01
15322.9467
16085.76


28
15268.38
14292.4467
15360.96
16223.3833
16411.28
16619.08


29
16465.36
14161.6533
16259.13
17423.4
16761.74
18170.1767


30
18676.53
16257.8233
18990.0733
20323.88
19672.31
22234.8


31
21554.7533
17869.9867
22306.21
22762.9133
21976.79
25177.9633


32
26224.95
20692.25
22770.4933
27301.42
27079.4333
28196.04


33
31022.74
23004.7733
24221.1867
32792.3367
32041.9767
33505.5633


34
37988.57
27885.7733
27912.8733
39025.7633
35271.26
37256.65


35
42202.2767
29597.75
29533.7367
41694.8967
37362.1867
42488.9533


36
46249.02
31962.49
31078.5933
43793.7833
41883.3133
44753.57


37
48737.2533
33604.0467
31430.5967
45638.5233
43485.66
46475.4833


38
50681.75
34790.8433
35408.08
47471.9733
43754.3167
46632.7267


39
54448.7433
37309.83
38711.2033
47370.8767
46405.19
49172.7967


40
55775.89
39461.5367
39852.01
49895.6033
48717.3767
47910.31


41
52615.02
39521.91
40231.3533
48539.29
47019.4233
45729.9833


42
50186.37
39651.37
40398.63
46393.5067
45788.2633
47903.9567


43
49244.7967
41845.0933
42576.0267
45725.4533
47120.6167
49347.7633


44
50204.72
40994.17
43307.2
46529.1333
47389.4567
47477.7567


45
51037.1333
42460.3
43889.2833
46026.6
45056.3767
47338.4767


46
52942.5567
40702.2833
44396.5267
46265.91
45616.05
48584.5933


47
52226.2267
41461.43
42915.49
46447.5233
45756.78
48418.4667


48
50617.04
40256.9467
41084.1833
47520.88
46672.39
49063.34


49
53435.7067
40871.0667
41350.2267
47728.7467
47373.0667
49551.17


50
55894.4333
39772.3
42932.19
50100.4267
47448.1333
50673.1333


51
58671.6067
42605.7233
44201.41
52429.6833
49707.11
53960.73


52
60282.91
42414.6067
44148.11
52389.9533
49064.43
54009.3233


53
59746.5833
44637.2467
43135.7533
52481.25
49023.9667
52536.8467


54
56654.12
44385.2567
43101.1933
49922.79
48106.0833
49979.8633


55
54530.6167
44637.6967
44414.6267
49093.2433
48177.6
48933.4733


56
52865.4867
45858.38
42641.07
47319.8267
48231.1
47237.1533


57
52192.58
47123.6033
42778.66
46101.2567
48681.5567
45931.6


58
49023.85
46340.2
41152.5833
45533.9567
46606.7767
43213.0367


59
48683.2567
45649.5533
41183.27
44442.39
45831.9033
43408.4633


60
47738.2967
46941.6933
41689.7867
43729.38
44593.28
43017.0267


61
52712.0767
50945.49
45864.1067
47405.6167
49167.5067
46765.14


62
56547.1167
56476.6533
52494.2633
52955.1967
54684.6767
54831.5933


63
59380.1967
59398.7533
54003.4233
55442.1133
56157.1333
57270.7533


64
59350.6233
60313.4567
52646.87
54950.17
57127.8567
58745.0633


65
59974.49
59394.8
51736.7533
55123.1433
56878.7633
56967.0633


66
60713.5967
60112.7367
51456.4967
53665.73
54528.49
56342.3433


67
59790.3833
58770.6033
50036.0133
55139.1067
53294.7033
55131.6967


68
59760.4367
58533.4367
48552.17
52108.1033
52284.8267
54595.4533


69
56626.7333
56089.1133
47884.3133
50689.4867
51628.91
52334.96


70
53322.95
54302.9467
44517.3967
48640.32
48951.4267
48586.3933


71
53155.9567
52608.1233
43378.03
46153.3633
47069.0833
48018.9467


72
49368.0033
51122.3067
42547.9867
43479.1767
45558.54
48446.5467


73
49793.5333
48580.0933
40915.5367
41253.61
43462.2
44757.9633


74
48909.6933
46737.8067
40032.8633
39900.18
44551.4767
45613.2733


75
50498.4667
47719.3933
41659.22
37788.2733
46349.0233
47302.55


76
51850.3567
50342.7033
43962.4333
41673.8867
48063.2433
52229.6467


77
55452.65
50405.1333
44582.15
44960.2267
51478.1867
51844.8567


78
55863.7033
49052.5867
45149.2567
48339.7133
50726.8133
51533.5667


79
56279.0767
50075.8433
43455.6633
47375.9667
51944.8767
52569.43


80
55541.66
49666.2633
45089.8633
50385.0667
52830.1833
53643.0567


81
57303.9433
51725.0967
45573.94
51045.1467
53395.1233
53608.3167


82
57050.64
48654.84
44095.4033
52383.97
50640.6367
52739.0067


83
56332.5333
48331.9633
41454.7833
50791.5833
52316.23
51928.0967


84
57601.11
48404.2533
42103.58
50524.2167
51505.9267
51156.2467


85
54551.95
48378.45
40909.2833
51434.3367
49792.8167
50937.19


86
55304.1733
49683.0667
44489.7733
50571.18
51490.3933
51008.0133


87
55673.3
52039.1333
45351.75
49991.08
51839.78
53734.8133


88
55440.21
51834.24
44707.5067
50331.95
50225.4933
53948.3233


89
51926.9867
48290.6133
43343.5267
47240.6367
49137.0433
50046.0567


90
50043.9267
47337.1833
41701.55
47059.7267
48025.8233
49933.0733


91
50223.3
46257.4667
40287.2367
45062.18
47280.05
48277.12


92
50213.5033
46953.9633
39426.7073
43955.7167
43937.89
45897.29


93
52865.4533
48987.6933
43724.9833
47043.61
48125.54
48271.2967


94
54484.6167
51017.11
50202.0233
51301.8533
52009.7833
53016.4133


95
55352.1367
51733.95
48751.6333
50829.8133
53375.97
54919.5433


96
54269.61
48989.3
44903
52004.9033
52088.4833
53647.9467


1
50311.55
44543
40134.48
48603.71
49001.1233
47747.6533


2
46806.4633
39089.2467
35961.72
44701.79
45634.93
43371.9633


3
44241.7267
35626.2233
32606.2133
41699.0967
41656.3933
40661.7767


4
40767.79
32862.2233
28800.4033
39009.6567
38487.1633
38484.5667


5
40518.69
31366.73
28786.2033
37829.33
38109.43
36966.96


6
35955.8167
27394.7733
26815.5167
33262.0667
34165.8767
32620.0233


7
31376.6067
24655.7333
23999.3567
29858.6267
30571.0867
28691.35


8
27084.19
22012.09
22247.5567
26473.8433
28691.63
26258.17


9
25995.58
21940.68
23287.56
26147.07
29873.34
26047.7667


10
23012.1067
20108.4133
20482.9167
23603.8633
28651.1433
23390.4233


11
20675.3067
18457.0333
18114.8333
21278.9267
22119.2667
21084.2133


12
18431.53
16584.4633
16764.19
19614.17
20150.0667
18504.42


13
17176.34
16095.4
15633.3167
17841.6867
18442.02
17468.69


14
15529.9
15477.37
14372.28
16482.02
17288.8933
15913.2433


15
14518.38
14437.92
13477.43
14926.0633
15497.21
14331.9133


16
13545.9167
13492.7533
12130.7967
14419.9667
14275.6233
13283.03


17
12745.38
12589.4633
11167.0933
13541.2833
13187.7833
12613.0367


18
12734.4167
11902.1667
10107.7867
12578.3633
12725.2833
11666.3967


19
12288.7633
10873
9413.2333
11422.98
12393.13
10950.25


20
9395.35
8382
7176.2167
8800.72
10165.3067
8334.1933


21
8800.89
8445.0833
7455.3633
8226.54
9861.4233
8385.5233


22
8901.1933
8971.2233
8004.3167
8674.1533
9845.7033
8749.34


23
9738.4933
9967.4033
9657.6033
10545.54
10606.4
10149.02


24
11160.9033
11262.1933
10686.0433
12038.9767
11082.4
11968.54


25
11840.8233
11813.5667
11720.64
13079.9367
12176.0167
13019.45


26
14106.7033
12806.1733
13568.0367
14252.7867
14144.54
14707.5833


27
14740.92
13076.99
14301.2867
14843.2667
14992.01
15322.9467


28
16245.94
15268.38
14292.4467
15360.96
16223.3833
16411.28


29
17407.41
16465.36
14161.6533
16259.13
17423.4
16761.74


30
20723.14
18676.53
16257.8233
18990.0733
20323.88
19672.31


31
24489.88
21554.7533
17869.9867
22306.21
22762.9133
21976.79


32
27406.2367
26224.95
20692.25
22770.4933
27301.42
27079.4333


33
33193.34
31022.74
23004.7733
24221.1867
32792.3367
32041.9767


34
38823.2967
37988.57
27885.7733
27912.8733
39025.7633
35271.26


35
42388.0767
42202.2767
29597.75
29533.7367
41694.8967
37362.1867


36
45534.87
46249.02
31962.49
31078.5933
43793.7833
41883.3133


37
50573.2167
48737.2533
33604.0467
31430.5967
45638.5233
43485.06


38
50733.81
50681.75
34790.8433
35408.08
47471.9733
43754.3167


39
50489.0933
54448.7433
37309.83
38711.2033
47370.8767
46405.19


40
52425.6467
55775.89
39461.5367
39852.01
49895.6033
48717.3767


41
50949.9233
52615.02
39521.91
40231.3533
48539.29
47019.4233


42
51110.0267
50186.37
39651.37
40398.63
46393.5067
45788.2633


43
51865.8833
49244.7967
41845.0933
42576.0267
45725.4533
47120.6167


44
51576.77
50204.72
40994.17
43307.2
46529.1333
47389.4567


45
51029.6667
51037.1333
42460.3
43889.2833
46026.6
45056.3767


46
49118.66
52942.5567
40702.2833
44396.5267
46265.91
45616.05


47
50315.23
52226.2267
41461.43
42915.49
46447.5233
45756.78


48
51728.6233
50617.04
40256.9467
41084.1833
47520.88
46672.39


49
53476.8033
53435.7067
40871.0667
41350.2267
47728.7467
47373.0667


50
54572.4567
55894.4333
39772.3
42932.19
50100.4267
47448.1333


51
55347.28
58671.6067
42605.7233
44201.41
52429.6833
49707.11


52
55559.9633
60282.91
42414.6067
44148.11
52389.9533
49064.43


53
53866.2433
59746.5833
44637.2467
43135.7533
52481.25
49023.9667


54
55622.8333
56654.12
44385.2567
43101.1933
49922.79
48106.0833


55
53672.0833
54530.6167
44637.6967
44414.6267
49093.2433
48177.6


56
51888.51
52865.4867
45858.38
42641.07
47319.8267
48231.1


57
50447.7867
52192.58
47123.6033
42778.66
46101.2567
48681.5567


58
47793.5767
49023.85
46340.2
41152.9113
45533.9567
46606.7767


59
44960.6467
48683.2567
45649.5533
41183.27
44442.39
45831.9033


60
46736.9867
47738.2967
46941.6933
41689.7867
43729.38
44593.28


61
51801.0167
52712.0767
50945.49
45864.1067
47405.6167
49167.5067


62
57223.8833
56547.1167
56476.6533
52494.2633
52955.1967
54684.6767


63
58591.3
59380.1967
59398.7533
54003.4233
55442.1133
56157.1333


64
59861.6667
59350.6233
60313.4567
52646.87
54950.17
57127.8567


65
60254.8767
59974.49
59394.8
51736.7533
55123.1433
56878.7633


66
60093.5733
60713.5967
60112.7367
51456.4967
53665.73
54528.49


67
57370.28
59790.3833
58770.6033
50036.0133
55139.1067
53294.7033


68
55943.0167
59760.4367
58533.4367
48552.17
52108.1033
52284.8267


69
53994.0667
56626.7333
56089.1133
47884.3133
50689.4867
51628.91


70
52683.1167
53322.95
54302.9467
44517.3967
48640.32
48951.4267


71
50583.7733
53155.9567
52608.1233
43378.03
46153.3633
47069.0833


72
49700.42
49368.0033
51122.3067
42547.9867
43479.1767
45558.54


73
47664.32
49793.5333
48580.0933
40915.5367
41253.61
43462.2


74
46875.32
48909.6933
46737.8067
40032.8633
39900.18
44551.4767


75
47756.39
50498.4667
47719.3933
41659.22
37788.2733
46349.0233


76
50948.63
51850.3567
50342.7033
41962.4333
41673.8867
48063.2433


77
50716.0767
55452.65
50405.1333
44582.15
44960.2267
51478.1867


78
51333.28
55863.7033
49052.5867
45149.2567
48339.7133
50726.8133


79
53208.8367
56279.0767
50075.8433
43455.6633
47375.9667
51944.8767


80
53611.2967
55541.66
49666.2633
45089.8633
50385.0667
52830.1833


81
54716.3667
57303.9433
51725.0967
45573.94
51045.1467
53395.1233


82
55056.8667
57050.64
48654.84
44095.4033
52383.97
50640.6367


83
54977.8233
56332.5333
48331.9633
41454.7833
50791.5833
52316.23


84
54358.2933
57601.11
48404.2533
42103.58
50524.2167
51505.9267


85
55952.3167
54551.95
48378.45
40909.2833
51434.3367
49792.8167


86
57297.0333
55304.1733
49683.0667
44489.7733
50571.18
51490.3933


87
57082.5333
55673.3
52039.1333
45351.75
49991.08
51839.78


88
55108.31
55440.21
51834.24
44707.5067
50331.95
50225.4933


89
51704.26
51926.9867
48290.6133
43343.5267
47240.6367
49137.0433


90
49311.3367
50043.9267
47337.1833
41701.55
47059.7267
48025.8233


91
47748.6033
50223.3
46257.4667
40287.2367
45062.18
47280.05


92
49275.4133
50213.5033
46953.9633
39426.7033
43955.7167
43937.89


93
51911.2733
52865.4533
48987.6933
43724.9833
47043.61
48125.54


94
54758.1
54484.6167
51017.11
50202.0233
51301.8533
52009.7833


95
54655.67
55352.1367
51733.95
48751.6333
50829.8133
53375.97


96
52450.2167
54269.61
48989.3
44903
52004.9033
52088.4833


1
49606.8633
50311.55
44543
40134.48
48603.71
49001.1233


2
45286.3467
46806.4633
39089.2467
35961.72
44701.79
45634.93


3
41268.47
44241.7267
35626.2233
32606.2133
41699.0967
41656.3933


4
38273.99
40767.79
32862.2233
28800.4033
39009.6567
38487.1633


5
37587.2233
40518.69
31366.73
28786.2033
37829.33
38109.43


6
33435.98
35955.8167
27394.7733
26815.5167
33262.0667
34165.8767


7
28801.48
31376.6067
24655.7333
23999.3567
29858.6267
30571.0867


8
24920.7367
27084.19
22012.09
22247.5567
26473.8433
28691.63

















Time
D-7 load
D-8 load
D-9 load
D-10 load
Real load



point
data
data
data
data
data







1
52434.03
40191.5
41116.72
48506.05
50311.55



2
46582.25
37202.33
37181.31
45061.33
46806.4633



3
41558.41
35204.08
33767.97
41991.11
44241.7267



4
37464.2
32284.57
31351.88
37803.94
40767.79



5
33122.45
28433.35
28219.29
32072.35
40518.69



6
30257.78
24799.11
25796.94
27243.78
35955.8167



7
28003.34
21212.74
23274.91
24779.63
31376.6067



8
24669.44
18527.38
20564.34
21019.12
27084.19



9
21133.33
15815.77
18609.44
17756.87
25995.58



10
18786.61
14517.97
16368.28
15302.42
23012.1067



11
16312.75
13306.01
14193.87
14027.37
20675.3067



12
14835.1
11453.71
12904.31
12732.62
18431.53



13
13465.43
10055.57
11372.61
11662.92
17176.34



14
11733.24
9289.72
10969.77
10501.89
15529.9



15
10904.43
8849.7
10354.59
9416.7
14518.38



16
10461.67
8628.13
9434.78
8717.73
13545.9167



17
10585.54
8148.51
8264.92
8185.43
12745.38



18
10219.77
8015.61
8055.37
8186.42
12734.4167



19
9844.92
7400.12
8013.94
7722.24
12288.7633



20
9642.63
7518.16
8028.53
7776.44
9395.35



21
9275.17
7515
8215.8
7632.78
8800.89



22
8803.54
8076.19
8631.66
8071.28
8901.1933



23
9727.69
8981.79
8883.5
9983.56
9738.4933



24
10739.41
10034.21
9907.36
10782.9
11160.9033



25
11542.27
10739.33
11621.47
11483.68
11840.8233



26
12815.85
11796.06
12994.09
12166.33
14106.7033



27
13640.44
13970.71
13692.88
12572.59
14740.92



28
14801.97
15136.93
13863.81
13211.34
16245.94



29
14876.21
16271.65
14923.86
14212.17
17407.41



30
19992.02
19420.16
10467.38
16584.77
20723.14



31
21135.57
20276.75
17464.05
17972.71
24489.88



32
25483.38
23583.01
19996.7
21509.21
27406.2367



33
30167.03
29927.57
23005.37
24682.93
33193.34



34
35162.31
33794.87
24187.02
30602.26
38823.2967



35
37703.32
37404.38
27087.36
33974.41
42388.0767



36
41963.84
40941.54
28918.27
36663.53
45534.87



37
42873.6
43337.51
31322.68
39624.99
50573.2167



38
45703.62
47013.26
33384.46
40084.74
50733.81



39
45955.59
47693.35
35937.98
41048.01
50489.0933



40
47823.55
49070.66
35040.14
40517.95
52425.6467



41
44915.04
50504.23
36570.33
39464.05
50949.9233



42
43973.65
49377.28
37729.74
36884.1
51110.0267



43
43418.73
46848.93
39059.56
37844.24
51865.8833



44
43472.66
47534.91
38574.48
38166.65
51576.77



45
43615.91
48153.3
37601.82
39594.23
51029.6667



46
44758.36
48658.64
39290.08
37901.31
49118.66



47
44759.32
49700.28
35933.11
38547.68
50315.23



48
42631.18
49123.43
36418.67
39284.35
51728.6233



49
42862.19
52222.53
37091.95
34266.91
53476.8033



50
45073.28
52929.41
36654.57
49161.74
54572.4567



51
46226.34
53331.62
37432.97
49916.75
55347.28



52
46641.81
52656.41
38206.46
50687.65
55559.9633



53
47491.77
52496.99
36922.58
48431.77
53866.2433



54
46311.08
50591.04
36781.03
47150.65
55622.8333



55
46226.79
47845.61
38238.9
46092.92
53672.0833



56
45739.88
45051.88
37766
45639.09
51888.51



57
43540.71
44305.21
38154.96
43577.31
50447.7867



58
42095.62
43650.07
38930.82
43379.2
47793.5767



59
42336.89
44479.48
38178.14
43314.6
44960.6467



60
42623.17
44821.81
37734.59
43275
46736.9867



61
44346.08
49216.35
42424.42
48322.12
51801.0167



62
50648.16
53756.12
45840.62
55419.21
57223.8833



63
51602.5
55756.74
49311.48
56859.22
58591.3



64
51770.29
57655.72
49070.17
57817.78
59861.6667



65
53095.87
55282.69
50279.14
56318.21
60254.8767



66
50200.47
54768.74
48985.9
55819.22
60093.5733



67
50299.12
52688.45
48536.38
54564.43
57370.28



68
51105.62
54070.19
48503.54
53307.46
55943.0167



69
49278.14
51305.14
47085.39
52222.93
53994.0667



70
46884.62
49454.97
44526.66
48915.9
52683.1167



71
43200.19
48016.98
42887.58
47750.9
50583.7733



72
43752.82
46167.53
42858.33
46118.83
49700.42



73
40104.36
43856.75
40063.89
45103.34
47664.32



74
41742.3
44864.17
38279.13
43695.39
46875.32



75
44289.11
45501.63
38352.27
46080.62
47756.39



76
46581.33
49403.24
38993.92
46862.87
50948.63



77
46581.43
49793.72
40382.8
46709.85
50716.0767



78
46538.98
50456.43
39893.95
48552.59
51333.28



79
48831.36
52519.32
42164.99
49584.5
53208.8367



80
51576.29
53392.53
43233.92
49769.38
53611.2967



81
51137.46
52040.6
41632.82
51115.17
54716.3667



82
52958.78
53786.18
41280.13
51865.39
55056.8667



83
49214.6
54001.11
40668.33
51592.14
54977.8233



84
50835.18
53883.44
43481.75
51450.15
54358.2933



85
49725.89
52978.52
42509.82
50501.34
55952.3167



86
49588.72
54494.45
44593.84
50981.67
57297.0333



87
49991.52
55522.04
44266.93
51346.23
57082.5333



88
47225.99
55699.14
45501.49
52282.55
55108.31



89
48654.53
54531.32
44748.22
52759.16
51704.26



90
47244.25
52409.16
45950.21
50592.64
49311.3367



91
45849.82
51269.29
44077.84
50304.61
47748.6033



92
44304.11
51242.65
42093.57
48874.47
49275.4133



93
47275.25
52005.17
44450.49
51766.4
51911.2733



94
50635.98
56006.05
47095.96
57211.95
54758.1



95
52359.05
56245.18
47013.07
58926.67
54655.67



96
51246.99
55010.98
43570.17
58736.22
52450.2167



1
51246.99
52434.03
40191.5
41116.72
49606.8633



2
51246.99
46582.25
37202.33
37181.31
45286.3467



3
51246.99
41558.41
35204.08
33767.97
41268.47



4
51246.99
37464.2
32284.57
31351.88
38273.99



5
51246.99
33122.45
28433.35
28219.29
37587.2233



6
34068.3633
30257.78
24799.11
25796.94
33435.98



7
30119.31
28003.34
21212.74
23274.91
28801.48



8
28010.2567
24669.44
18527.38
20564.34
24920.7367



9
27503.9333
21133.33
15815.77
18609.44
25154.5567



10
24875.2833
18786.61
14517.97
16368.28
23172.1233



11
22254.46
16312.75
13306.01
14193.87
20684.15



12
20036.8867
14835.1
11453.71
12904.31
18492.21



13
18314.2967
13465.43
10055.57
11372.61
16774.0567



14
16326.7267
11733.24
9289.72
10969.77
15574.2367



15
14879.1
10904.43
8849.7
10354.59
14630.5133



16
13792.3433
10461.67
8628.13
9434.78
13300.86



17
13040.6367
10585.54
8148.51
8264.92
11974.3033



18
12526.1767
10219.77
8015.61
8055.37
11495.8933



19
11823.92
9844.92
7400.12
8013.94
10799.1467



20
9430.4733
9642.63
7518.16
8028.53
7978.7633



21
8976.57
9275.17
7515
8215.8
8619.6033



22
9225.18
8803.54
8076.19
8631.66
9265.54



23
9754.01
9727.69
8981.79
8883.5
10262.9



24
11538.7367
10739.41
10034.21
9907.36
11395.7433



25
13065.7967
11542.27
10739.33
11621.47
13275.0633



26
15128.4833
12815.85
11796.06
12994.09
15681.9167



27
16085.76
13640.44
13970.71
13692.88
16343.7467



28
16619.08
14801.97
15136.93
13863.81
18136.0433



29
18170.1767
14876.21
16271.65
14923.86
18775.74



30
22234.8
19992.02
19420.16
16467.38
21630.1867



31
25177.9633
21135.57
20276.75
17464.05
23609.4867



32
28196.04
25483.38
23583.01
19996.7
28539.59



33
33505.5633
30167.03
29927.57
23005.37
32098.1667



34
37256.65
35162.31
33794.87
24187.02
38901.76



35
42488.9533
37703.32
37404.38
27087.36
43266.3033



36
44753.57
41963.84
40941.54
28918.27
46730.4767



37
46475.4833
42873.6
43337.51
31322.68
46204.0333



38
46632.7267
45703.62
47013.26
33384.46
49358.1767



39
49172.7967
45955.59
47693.35
35937.98
51673.5667



40
47910.31
47823.55
49070.66
35040.14
52383.9633



41
45729.9833
44915.04
50504.23
36570.33
51683.6367



42
47903.9567
43973.65
49377.28
37729.74
49510.3667



43
49347.7633
43418.73
46848.93
39059.56
47644.3933



44
47477.7567
43472.66
47534.91
38574.48
46495.4967



45
47338.4767
43615.91
48153.3
37601.82
47175.25



46
48584.5933
44758.36
48658.64
39290.08
47516.7267



47
48418.4667
44759.32
49700.28
35933.11
48368.0933



48
49063.34
42631.18
49123.43
36418.67
48056.7633



49
49551.17
42862.19
52222.53
37091.95
49998.3133



50
50673.1333
45073.28
52929.41
36654.57
53629.72



51
53960.73
46226.34
53331.62
37432.97
54607.59



52
54609.3233
46641.81
52656.41
38206.46
55513.1433



53
52536.8467
47491.77
52496.99
36922.58
54053.76



54
49979.8633
46311.08
50591.04
36781.03
51750.9367



55
48933.4733
46226.79
47845.61
38238.9
48021.82



56
47237.1533
45739.88
45051.88
37766
47138.4867



57
45931.6
43540.71
44305.21
38154.96
48255.2067



58
43213.0367
42095.62
43650.07
38930.82
46020.5



59
43408.4633
42336.89
44479.48
38178.14
45648.43



60
43017.0267
42623.17
44821.81
37734.59
45801.0267



61
46765.14
44346.08
49216.35
42424.42
50906.4367



62
54831.5933
50648.16
53756.12
45840.62
58223.0567



63
57270.7533
51602.5
55756.74
49311.48
60299.2367



64
58745.0633
51770.29
57655.72
49070.17
62054.9433



65
56967.0633
53095.87
55282.69
50279.14
60031.2267



66
56342.3433
50200.47
54768.74
48985.9
58771.0033



67
55131.6967
50299.12
52688.45
48536.38
56764.62



68
54595.4533
51105.62
54070.19
48503.54
57123.59



69
52334.96
49278.14
51305.14
47085.39
56380.6967



70
48586.3933
46884.62
49454.97
44526.66
54355.75



71
48018.9467
43200.19
48016.98
42887.58
50191.76



72
48446.5467
43752.82
46167.53
42858.33
49128.7467



73
44757.9633
40104.36
43856.75
40063.89
46876.9067



74
45613.2733
41742.3
44864.17
38279.13
46765.8567



75
47302.55
44289.11
45501.63
38352.27
46620.9433



76
52229.6467
46581.33
49403.24
38993.92
50531.4233



77
51844.8567
46581.43
49793.72
40382.8
50878.85



78
51533.5667
46538.98
50456.43
39893.95
54521.27



79
52569.43
48831.36
52519.32
42164.99
54900.6067



80
53643.0567
51576.29
53392.53
43233.92
55974.9767



81
53608.3167
51137.46
52040.6
41632.82
58697.2167



82
52739.0067
52958.78
53786.18
41280.13
56587.8367



83
51928.0967
49214.6
54001.11
40668.33
55436.51



84
51156.2467
50835.18
53883.44
43481.75
56231.8033



85
50937.19
49725.89
52978.52
42509.82
57303.2033



86
51008.0133
49588.72
54494.45
44593.84
58768.5533



87
53734.8133
49991.52
55522.04
44266.93
57834.78



88
53948.3233
47225.99
55699.14
45501.49
58326.0867



89
50046.0567
48654.53
54531.32
44748.22
53732.05



90
49933.0733
47244.25
52409.16
45950.21
52111.5933



91
48277.12
45849.82
51269.29
44077.84
53022.4733



92
45897.29
44304.11
51242.65
42093.57
49800.4767



93
48271.2967
47275.25
52005.17
44450.49
53055.2167



94
53016.4133
50635.98
56006.05
47095.96
56546.8133



95
54919.5433
52359.05
56245.18
47013.07
56517.7533



96
53647.9467
51246.99
55010.98
43570.17
55220.7433



1
47747.6533
51246.99
52434.03
40191.5
51209.39



2
43371.9633
51246.99
46582.25
37202.33
48398.69



3
40661.7767
51246.99
41558.41
35204.08
44681.98



4
38484.5667
51246.99
37464.2
32284.57
41953.67



5
36966.96
51246.99
33122.45
28433.35
39696.53



6
32620.0233
34068.3633
30257.78
24799.11
35945.79



7
28691.35
30119.31
28003.34
21212.74
31646.32



8
26258.17
28010.2567
24669.44
18527.38
28496.99

















TABLE 2





Prediction Results of Loads

























Time point 1-10
25959
23089.33
20175.63
18065.67
16661.62
15215.42
13879.57
13073.96
12343.98
11676.35


Time point 11-20
10966.34
8722.165
8455.629
8695.478
10013.33
11248.4
12042.52
13593.31
14230.03
15201.41


Time point 21-30
15805.8
18820.08
21874.31
25049.86
29286.44
34563.96
36812.54
40191.5
42386.49
44529.26


Time point 31-40
46348.05
48711.78
47964.93
47165.48
48392.99
48882.88
48526.08
48050.94
48142.09
47813.67


Time point 41-50
48629.06
49599.98
51004.22
50750.2
50563.81
50686.13
50641.65
49705.01
49538.61
47786.01


Time point 51-60
46707.99
47197.81
51507.18
56628.56
57864.54
57902.59
57745.96
57028.3
55836.18
54696.5


Time point 61-70
53661.37
51552.84
49630.5
48250.77
46315.07
45827.73
47038.56
49424.06
50760.74
51121.08


Time point 71-80
51315.05
52415.6
53246.39
52191.42
51440.23
51361.62
50964.64
52918.81
53197.82
51911.91


Time point 81-90
50217.39
48459.88
47188.8
46599.47
50271.91
54296.36
54071.33
51966.17
48772.19
44681.89


Time point 91-96
40705.32
37073.52
36694.19
31991.7
28065.65
25219.18









It should be emphasized that the embodiments of the present invention are illustrative, rather than restrictive. Therefore, the present invention includes but not limited to the embodiments in detailed description. All other implementation manners obtained by those skilled in the art according to the technical solutions of the present invention belong to the protection scope of the present invention.

Claims
  • 1. A prediction method for charging loads of electric vehicles with consideration of data correlation, comprising the following steps: Step 1: collecting historical data of charging loads of electric vehicles;Step 2: carrying out data correlation analysis on the historical data of the charging loads of the electric vehicles, which is collected in Step 1, and real-time data, and calculating correlation coefficients between the historical data of the charging loads of the electric vehicles and the real-time data;Step 3: according to the correlation coefficients obtained through calculation in Step 2, selecting historical data of the charging loads of the electric vehicles, which has high correlation, as data of the charging loads of the electric vehicles, which is used for prediction;Step 4: predicting the historical data of the charging loads of the electric vehicles, which has high correlation and is selected in Step 3, serving as the data of the charging loads of the electric vehicles, which is used for prediction, by adopting an LSTM (Long Short Term Memory) algorithm, to obtain prediction results.
  • 2. The prediction method for charging loads of electric vehicles with consideration of data correlation according to claim 1, wherein a specific method of the Step 1 comprises: collecting the historical data of the charging loads of the electric vehicles of that very day and ten typical days at a certain area.
  • 3. The prediction method for charging loads of electric vehicles with consideration of data correlation according to claim 1, wherein a specific method of the Step 2 comprises: calculating the correlation of historical data of the charging loads of the electric vehicles of each day and real data of that very day by utilizing Excel software, to obtain the correlation coefficients between the historical data of the charging loads of the electric vehicles and the real-time data, wherein a calculation formula is:
  • 4. The prediction method for charging loads of electric vehicles with consideration of data correlation according to claim 1, wherein a specific method of the Step 3 comprises: according to a sequence of the correlation coefficients from small to big, selecting top five groups of data with biggest correlation coefficients, i.e., five groups of data with the highest correlation, as the data of the charging loads of the electric vehicles, which is used for prediction.
  • 5. The prediction method for charging loads of electric vehicles with consideration of data correlation according to claim 1, wherein the Step 4 specifically comprises the following steps: (1) inputting the data Xt of the charging loads of the electric vehicles, which is used for prediction and is obtained in Step 3, and carrying out processing of a forgetting stage of a forgetting gate on load data Xt of each time point firstly, wherein a calculation formula is shown as follows: ft=σ(Wf·[ht-1,xt]+bf)(2) then, carrying out processing of a cell state updating stage of an input gate on ft, wherein a calculation formula is shown as follows: Ct=ft*Ct-1+it*{tilde over (C)}t (3) finally, carrying out processing of an output stage of an output gate on Ct, wherein calculation formulas are shown as follows: 0t=σ(Wo·[ht-1,xt]+bo)ht=0t*tan h(Ct)(4) taking load data obtained after the load data of one time point is processed by the three gate stages as legacy information ht-1 of a previous cell, and enabling the legacy information ht-1 and load data of a new time point to participate in recursive processing of the three gate stages again, to obtain load prediction values ht of 96 time points in one day finally.
Priority Claims (1)
Number Date Country Kind
202110978765.2 Aug 2021 CN national