CN108171379B - Power load prediction method - Google Patents
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Abstract
The invention discloses an electric load forecasting method, which comprises the following steps: collecting historical data, collecting power utilization data of the power utilization unit for as long as possible in the past, and storing the power utilization data in a time sequence; secondly, time series conversion is carried out, and historical data are divided into an input data set and an output data set; training the model, namely training a training set by respectively using a linear regression model and a Boost regression model, wherein independent variables of the regression model comprise dummy variables of month, day, week, time and the like; checking the models and screening variables, and selecting 1 model with higher precision from the linear regression model and the Boost regression model by using the accuracy of the new data checking model; and step five, predicting subsequent new data by using the selected model and the selected variable.
Description
Technical Field
The invention relates to the technical field of power consumption prediction, in particular to a power consumption load prediction method based on a regression model and a Boost regression model.
Background
The power load prediction is to analyze the supply and demand of power market by power generation enterprise marketers and master the load condition of the power market. Because the power generation enterprises and the power consumers are related through the power grid, and one power grid simultaneously comprises a plurality of power generation enterprises, when a certain power generation consumer predicts the load of the power market consumer, the grasped information is limited, and analysis can be performed only according to the historical information of the power market of the whole power grid, which is released by related organizations.
At present, there are two main types of methods for predicting the electrical load: linear models such as time series models, and machine learning models such as artificial neural network models. Although the artificial neural network model can comprehensively consider all factors influencing load change, the established model parameters are more, the logic structure among variables is more complex, the defects of easy falling into local minimum, large operand and the like exist, and how to combine the advantages of two models by using less operand is the problem to be solved at present.
Disclosure of Invention
The invention aims to provide an electricity load prediction method aiming at the defects in the prior art, which can improve the prediction precision and the operation speed of the existing model through historical data and effectively predict the future electricity consumption of an electricity unit.
In order to achieve the purpose, the invention adopts the following technical scheme: an electrical load prediction method comprises the following steps:
step one, collecting historical data, collecting power utilization data of the power utilization unit for as long as possible in the past, and storing the power utilization data in a time sequence;
step two, time series conversion is carried out, historical data are divided into an input data set and an output data set, the output of each sample is the power consumption of a power consumption unit at a certain moment, and the input is the power consumption power value of all points 21 days before the point; if a longer interval time (such as more than 1 day) needs to be predicted, the time distance between the input and the output also adopts a corresponding time interval;
training the model, namely training a training set by respectively using a linear regression model and a Boost regression model, wherein independent variables of the regression model comprise dummy variables of month, day, week, time and the like;
checking the model and screening variables, checking the accuracy of the model by using new data, selecting 1 with higher precision from the linear regression model and the Boost regression model, calculating an importance list of each variable, and selecting the variable with higher importance;
step five, predicting subsequent new data by using the selected model and the selected variable; and when the prediction deviation is found to be large, repeating the third step and the fourth step.
Preferably, the expression of the linear regression model in step three is as shown in formula (1):
yi=b1×yi-1+b2×yi-2+…+bn×yi-n+c1×x1i+c2×x2i+…+cm×xmi (1)
wherein, yiIs the load value, x, at time i1i,…,xmiDummy variables generated for time variables such as month, week, day, hour, and minute, b1,…,bn,c1,…,cmAs a parameter, eiFor residual errors, the model is solved using a least squares method.
Preferably, the algorithm of the Boost regression model in step three is as follows:
s31: from the ensemble of samples D, non-replaced random samples n1If the number of samples is less than n, obtaining a set D1 used for training a weak regression classifier C1;
s32: extracting n from the sample ensemble set D2Combining half of samples which are classified wrongly by C1 to obtain a sample set D2 for training a weak regression classifier C2;
s33: repeating the steps of S1 and S2 to obtain a set of n classifiers (C1, C2, … and Cn), and taking the weighted average of the output results of all regression classifiers as output when the data to be identified enters;
assuming that the set of n classifiers is (C1, C2, …, Cn), the prediction result of each classifier is P1,P2,…,Pn-1,PnAnd then, the output result of the electric appliance A to be identified is as follows:
preferably, a regression tree model is derived through the weak regression classifier, and the algorithm is as follows:
s41: selecting a maximum entropy-increasing variable according to i ═ argmax IG (xi), wherein IG (xi) is an information gain function;
s42: generating a multi-classification decision by taking the value of the variable i as a classification standard and corresponding to the interval of the output value;
s43: and repeating the steps S41 and S42 until the significant entropy-increasing variables cannot be selected, wherein the sequence of all the classification rules is a regression tree.
Preferably, the regression tree model has the following algorithm:
s51: in an input space where a training data set D is located, recursively dividing each region into two sub-regions, determining an output value on each sub-region, constructing a binary decision tree, selecting an optimal segmentation variable j and a segmentation point s, and solving a formula (2):
segmenting a variable j, scanning a segmentation point s for the fixed segmentation variable j, and selecting to enable the formula to reach a minimum value pair (j, s);
s52: dividing the region by the selected pair (j, s) and determining the corresponding output value, as in equation (3):
R1(j,s)={x|xj≤s},R2(j,s)={x|xj>s}
s53: continuing to call the steps S51 and S52 for the two sub-regions until the stop condition is met;
s54: dividing an input space into M regions R1,R2,…,RmGenerating a decision regression tree formula (4):
and obtaining an output f (x) through a regression tree model, wherein the output f (x) is the predicted value of the electric load model.
The invention achieves the following beneficial effects: the invention provides a power load prediction method based on a Boost regression model, which can improve the prediction precision and the calculation speed of the existing model through historical data, effectively predict the future power consumption of a power consumption unit, and the model obtained by the invention has higher prediction precision and lower calculation complexity, is easy to perform programmed automation processing, and can be quickly connected with the actual demand.
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FIG. 1 is a flow chart of a method for predicting an electrical load according to the present invention.
Detailed Description
The following further describes the embodiments of the present invention with reference to the drawings.
As shown in fig. 1, the technical solution adopted by the present invention is: an electrical load prediction method comprises the following steps:
step one, collecting historical data, collecting power utilization data of the power utilization unit for as long as possible in the past, and storing the data in a time sequence, wherein for the power utilization unit MT1, the data time is divided from 2011 1 month to 2011 3 months at a fixed time interval delta t;
step two, time series conversion is carried out, historical data are divided into an input data set and an output data set, the output of each sample is the power consumption of a power consumption unit at a certain moment, and the input is the power consumption power value of all points 21 days before the point; if a longer interval time (such as more than 1 day) needs to be predicted, the time distance between the input and the output also adopts a corresponding time interval;
the unit of electricity in the present invention is represented by MT1, and the historical data is represented by D1,D2,D3,…Dn-1,Dn,DiA set of power data representing the power usage on day i,the power consumption at the j time of the ith day is the time interval delta t, and the time interval delta t is 15 minutes;
Values for 21 days: if the electricity consumption power is predicted in 2011 in the early morning of No. 1/22, the input data is No. 1-21, and the electricity consumption power value is calculated every 15 minutes.
Training the model, namely training a training set by respectively using a linear regression model and a Boost regression model, wherein independent variables of the regression model comprise dummy variables of month, day, week, time and the like; the number of months, days, weeks, and times, where the number of hours refers to hours and minutes of the day, here 16 hours and 15 minutes, are changed to dummy variables according to the date format of the data, such as 2015/11/14: 15.
And step four, checking the model and screening variables, checking the accuracy of the model by using new data, selecting 1 with higher precision from the linear regression model and the Boost regression model, calculating an importance list of each variable, and selecting the variable with higher importance.
The model is tested by performing 1-fold cross validation on the selected model, namely a linear regression model, a random forest model and a boost regression model, and finally rejecting the poor model according to a scoring criterion MAPE. And the variable screening is to select a model with high prediction precision from the rest models according to the prediction result of the new data, and calculate the importance of the variable according to the prediction result of the model. The model we finally choose here is the boost model, so the computation of feature importance based on the tree model is as follows:
the global importance of feature j is measured by the average of the importance of feature j in a single tree:
where M is the number of trees.
The importance of feature j in a single tree is as follows:
wherein L is the leaf node number of the tree, L-1 is the non-leaf node number of the tree (the constructed trees are all binary trees with left and right children), vtIs a feature associated with the node t,is the reduction in the square penalty after splitting of the node t.
Scoring criteria: the minimum is selected according to the median of MPAE calculated for each electricity unit by each model.
Step five, predicting subsequent new data by using the selected model and the selected variable; and when the prediction deviation is found to be large, repeating the third step and the fourth step.
The explicitly selected model is a boost regression model, the variables of the model are different because of the selected time interval, and thus the determined variables are different, for example, the time interval is 15 minutes, the input variables are the power consumption power every 15 minutes in the first 21 days of the predicted point, and the variables are selected from the input variables according to the variable importance (each variable has a value, the variable is determined according to the selected threshold value, here we select the variable > 20).
When the deviation is large: also determined according to a defined threshold, such as defining MAPE mean < 10%.
Preferably, the expression of the linear regression model in step three is as shown in formula (1):
yi=b1×yi-1+b2×yi-2+…+bn×yi-n+c1×x1i+c2×x2i+…+cm×xmi (1)
wherein, yiIs the load value, x, at time i1i,…,xmiDummy variables generated for time variables such as month, week, day, hour, and minute, b1,…,bn,c1,…,cmAs a parameter, eiFor residual errors, the model is solved using a least squares method.
The square loss function:
determination of variable parameter b by minimizing the solution of the quadratic loss function1,…,bn,c1,…,cmMinimize we can byAnd obtaining the extreme value of the function. By solving the system of equations (5), we can obtain the parameter bi,cj,i=1,2,…,n,j=1,2,…,m。
s31: from the ensemble of samples D, non-replaced random samples n1If the number of samples is less than n, obtaining a set D1 used for training a weak regression classifier C1;
s32: extracting n from the sample ensemble set D2Combining half of samples which are classified wrongly by C1 to obtain a sample set D2 for training a weak regression classifier C2;
s33: repeating the steps of S1 and S2 to obtain a set of n classifiers (C1, C2, … and Cn), and taking the weighted average of the output results of all regression classifiers as output when the data to be identified enters;
assuming that the set of n classifiers is (C1, C2, …, Cn), the prediction result of each classifier is P1,P2,…,Pn-1,PnAnd then, the output result of the electric appliance A to be identified is as follows:
preferably, a regression tree model is derived through the weak regression classifier, and the algorithm is as follows:
s41: selecting a maximum entropy-increasing variable according to i ═ argmax IG (xi), wherein IG (xi) is an information gain function;
s42: generating a multi-classification decision by taking the value of the variable i as a classification standard and corresponding to the interval of the output value;
s43: and repeating the steps S41 and S42 until the significant entropy-increasing variables cannot be selected, wherein the sequence of all the classification rules is a regression tree.
Preferably, the regression tree model has the following algorithm:
s51: in an input space where a training data set D is located, recursively dividing each region into two sub-regions, determining an output value on each sub-region, constructing a binary decision tree, selecting an optimal segmentation variable j and a segmentation point s, and solving a formula (2):
segmenting a variable j, scanning a segmentation point s for the fixed segmentation variable j, and selecting to enable the formula to reach a minimum value pair (j, s);
s52: dividing the region by the selected pair (j, s) and determining the corresponding output value, as in equation (3):
R1(j,s)={x|xj≤s},R2(j,s)={x|xj>s}
s53: continuing to call the steps S51 and S52 for the two sub-regions until the stop condition is met;
s54: dividing an input space into M regions R1,R2,…,RmGenerating a decision regression tree formula (4):
and obtaining an output f (x) through a regression tree model, wherein the output f (x) is the predicted value of the electric load model.
And (3) verifying the experimental results, verifying the results by adopting linear regression, RNN, LSTM, MLP, RBF and ELMAN models, and predicting the results at 15 minutes, 1 hour and 4 hours.
The method comprises the steps of total 140256 samples of source data, 15min of resolution, 135000 of samples as a training set, 5256 of samples as a testing set, selecting the last sample of the training set as the training set for a model with overlarge operation amount, adjusting parameters and recording an optimal result.
(1) Prediction (15 min) for the previous 1 step, the results are shown in table 1:
(R is speed, H is hidden number, E is day number, M is maximum iteration)
Table 1: training and prediction values for each model at 15 minutes
(2) The prediction was carried out 4 steps forward (1 hour), and the results are shown in Table 2:
(R is speed, H is hidden number, E is day number, M is maximum iteration)
Table 2: training and prediction values for 1 hour models
(3) Prediction (4 hours) for the 16 forward steps, the results are shown in table 3:
(R is speed, H is hidden number, E is day number, M is maximum iteration)
Table 3: and (3) evaluating the training values and the predicted values of the models in 1 hour:
(1) for units with larger electricity consumption, the prediction accuracy is obviously higher than that of the previous household electricity consumption data.
(2) The error of multi-step prediction is higher than that of single-step prediction.
(3) The MLP effect was best in the experiment. Average error percentage: 15 minutes 6.16%, 1 hour 9.61%, 4 hours 16.82%.
The above description is only for the purpose of illustrating the preferred embodiments of the present invention and is not to be construed as limiting the invention, and any modifications, equivalents, improvements and the like that fall within the spirit and principle of the present invention are intended to be included therein.
Claims (3)
1. An electrical load prediction method is characterized by comprising the following steps:
collecting historical data, collecting power utilization data of a power utilization unit for a long time in the past, and storing the data in a time sequence;
step two, time series conversion is carried out, historical data are divided into an input data set and an output data set, the output of each sample is the power consumption of a power consumption unit at a certain moment, and the input is the power consumption power value of all points 21 days before the moment; if longer interval time needs to be predicted, the time distance between input and output also adopts corresponding time interval;
training the model, namely training a training set by respectively using a linear regression model and a Boost regression model, wherein independent variables of the regression model comprise dummy variables of month, day, week and time;
the expression of the linear regression model in the third step is shown as the formula (1):
yi=b1×yi-1+b2×yi-2+…+bn×yi-b+c1×x1i+c2×x2i+…+cm×xmi+ei(1)
wherein, yiIs the load value, x, at time i1i,…,xmiDummy variables generated for time variables of month, week, day, hour, minute, b1,…,bn,c1,…,cmAs a parameter, eiFor residual errors, the model is solved by a least square method; the algorithm of the Boost regression model in the third step is as follows:
s31: from the ensemble of samples D, non-replaced random samples n1If the number of samples is less than n, obtaining a set D1 used for training a weak regression classifier C1;
s32: extracting n from the sample ensemble set D2< n samples, of which half the samples classified erroneously by C1 were merged,
obtaining a sample set D2 for training a weak regression classifier C2;
s33: repeating the steps of S1 and S2 to obtain a set of n classifiers (C1, C2, … and Cn), when the data to be identified enters,
using the weighted average of the output results of all regression classifiers as output;
assuming that the set of n classifiers is (C1, C2, …, Cn), the prediction result of each classifier is P1,P2,…,Pn-1,Pn,
checking the model and screening variables, checking the accuracy of the model by using new data, and performing linear regression on the model and Boost
Selecting 1 with higher precision from the regression model, calculating an importance list of each variable, and selecting the variable with high importance;
step five, predicting subsequent new data by using the selected model and the selected variable; and when the prediction deviation is found to be large, repeating the third step and the fourth step.
2. The method of claim 1, wherein the weak regression classifier is used to derive a regression tree model, and the algorithm is as follows:
s41: selecting a maximum entropy-increasing variable according to i ═ argmax IG (xi), wherein IG (xi) is an information gain function;
s42: generating a multi-classification decision by taking the value of the variable i as a classification standard and corresponding to the interval of the output value;
s43: and repeating the steps S41 and S42 until the significant entropy-increasing variables cannot be selected, wherein the sequence of all the classification rules is a regression tree.
3. The method of claim 2, wherein the regression tree model is calculated as follows:
s51: in an input space where a training data set D is located, recursively dividing each region into two sub-regions, determining an output value on each sub-region, constructing a binary decision tree, selecting an optimal segmentation variable j and a segmentation point s, and solving a formula (2):
segmenting a variable j, scanning a segmentation point s for the fixed segmentation variable j, and selecting to enable the formula to reach a minimum value pair (j, s);
s52: dividing the region by the selected pair (j, s) and determining the corresponding output value, as in equation (3):
R1(j,s)={x|xj≤s},R2(j,s)={x|xj>s}
s53: continuing to call the steps S51 and S52 for the two sub-regions until the stop condition is met;
s54: dividing an input space into M regions R1,R2,…,RmGenerating a decision regression tree formula (4):
and obtaining an output f (x) through a regression tree model, wherein the output f (x) is the predicted value of the electric load model.
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