CN113988436B - Power consumption prediction method based on LSTM neural network and hierarchical relation correction - Google Patents

Power consumption prediction method based on LSTM neural network and hierarchical relation correction Download PDF

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CN113988436B
CN113988436B CN202111281571.3A CN202111281571A CN113988436B CN 113988436 B CN113988436 B CN 113988436B CN 202111281571 A CN202111281571 A CN 202111281571A CN 113988436 B CN113988436 B CN 113988436B
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林溪桥
覃惠玲
程敏
周春丽
陈志君
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Abstract

The invention discloses a power consumption prediction method based on LSTM neural network and hierarchical relation correction, which belongs to the field of power consumption prediction and comprises the following steps: constructing a prediction variable system according to the electricity behavior characteristics of the user, the meteorological characteristics and the similar daily characteristics; clustering is carried out aiming at the electricity utilization behavior characteristics of the users by using a spectral clustering method, and a user classification result is obtained; short-term prediction is respectively carried out on the electricity consumption of different types of users based on the LSTM model; and correcting the prediction result according to the power consumption level relation to obtain the prediction result. The invention carries out short-term prediction of electricity consumption based on the LSTM model, and is used for carrying out short-term electricity consumption prediction on each type of clustered users; and correcting the prediction result according to the electricity consumption level relation, incorporating the regional electricity consumption data, correcting the individual electricity consumption prediction, and improving the prediction accuracy of the regional electricity consumption.

Description

Power consumption prediction method based on LSTM neural network and hierarchical relation correction
Technical Field
The invention belongs to the field of electricity consumption prediction, and particularly relates to an electricity consumption prediction method based on LSTM neural network and hierarchical relation correction.
Background
The accurate electricity consumption prediction has positive effects on the normal operation of the power system and also has important effects on the analysis of macroscopic economy in the power industry. For the power producer, accurate power consumption prediction is convenient for the power producer to provide proper power supply, avoids the influence of insufficient power supply on life production, and also avoids power supply waste. Macroscopic economics and smart grid systems also require assessment of regional power industry development and economic analysis through power usage prediction. Nowadays, intelligent ammeter can real-time supervision user's electricity consumption action, and meteorological data also can be accurate to the region that the scope is very little in real time. In the big data age, the data capacity related to the electricity consumption is big, the data source is wide, and meanwhile, the electricity consumption prediction has great research significance, and the electricity consumption prediction becomes a subject of extensive research of domestic scholars.
The prediction and development of electricity consumption are mature method systems. The existing short-term prediction method of the electric quantity demand is mainly divided into a metering method, a fuzzy mathematic method and a machine learning method. The metering method comprises regression analysis, time sequence autocorrelation analysis and the like; the fuzzy mathematic method comprises a gray prediction method, a similar day method and the like; the machine learning method comprises a support vector machine, a random forest, a cyclic neural network, a long-term and short-term memory artificial neural network and the like. These prediction methods have been widely used in electricity consumption prediction, where machine learning methods can better identify nonlinear relationships between electricity consumption and other variables than metrology methods. Although the prediction method is mature, the existing research is less in consideration of the electricity behavior difference of different users, and model training is carried out by regarding all users as a whole, so that the prediction accuracy is reduced. Meanwhile, the existing research focuses on the prediction precision of the individual users, and the prediction of the regional power consumption only carries out simple addition on the prediction results of the individual users. This approach suffers from poor prediction accuracy at the macroscopic level.
Disclosure of Invention
The invention aims to provide a power consumption prediction method based on LSTM neural network and hierarchical relation correction.
In order to achieve the above purpose, the present invention provides a power consumption prediction method based on LSTM neural network and hierarchical relation correction, comprising the following steps:
1) Constructing a prediction variable system according to the electricity behavior characteristics of the user, the meteorological characteristics and the similar daily characteristics;
2) Clustering is carried out aiming at the electricity utilization behavior characteristics of the users by using a spectral clustering method, and a user classification result is obtained;
3) Short-term prediction is respectively carried out on the electricity consumption of different types of users based on the LSTM model;
4) And correcting the prediction result according to the power consumption level relation to obtain the prediction result.
As a further technical improvement, the constructed prediction variable body at least comprises user electricity utilization behavior characteristics, meteorological characteristics and similar day characteristics.
As a further technical improvement, the user electricity consumption behavior characteristics at least comprise historical electricity consumption, annual electricity consumption and monthly electricity consumption of the user, recent hour electricity consumption of the user, holiday electricity consumption of the user and early morning electricity consumption of the user.
As a further technical improvement, the meteorological features include air temperature, humidity, wind speed, wind direction, air pressure, and rainfall probability. When the model is constructed, the meteorological data is based on a history record; during model prediction, the weather data is based on the weather prediction result.
As a further technical improvement, the similar day characteristic comprises the same hours of electricity consumption before one day, two days, one week and one year.
The user electricity behavior characteristics are used for carrying out spectral clustering on the user, and the electricity behavior is roughly divided into: unimodal, bimodal, multimodal, stationary, four types; therefore, the present invention selects the cluster number of clusters to be 4. The clustering method selected by the invention is spectral clustering, which is a modern clustering algorithm, and has the advantage of high stability compared with the traditional K-means clustering method; the specific method of spectral clustering is as follows:
spectral clustering is a clustering algorithm derived according to the principle of graph theory, and is essentially to reduce the dimension of features through the feature vector of the graph Laplace matrix, so that different categories are more obviously classified. The specific algorithm is as follows:
assume that the sample is { x 1 ,…,x n X, where x i ∈R d
Step 1: constructing a similarity matrix S of the sample; defining a similarity matrix using a full join method, wherein
Figure GDA0004118778520000031
Step 2: construct adjacency matrix w=s of the graph and degree matrix d=diag (D) 1 ,…,d n ) Wherein
Figure GDA0004118778520000032
Step 3: the laplacian matrix of the graph is constructed.
The invention selects a symmetric standardized Laplace matrix, and the formula is as follows:
Figure GDA0004118778520000033
step 4: performing feature decomposition on the Laplace matrix:
L sym u i =λ i u i ,i=1,…,n
wherein, lambda is more than or equal to 0 1 ≤…≤λ k ≤…≤λ n Constructing a matrix U= [ U ] 1 ,…,u k ]:
Step 5: normalizing the rows of the matrix U; building a matrix T E R n×k Elements of
Figure GDA0004118778520000034
Step 6: and taking the matrix T as a sample matrix, taking rows as samples, listing as characteristics, and performing K-means clustering to obtain a clustering result.
As a further technical improvement, the method for utilizing spectral clustering clusters aiming at the electricity utilization behavior characteristics of the users, and finally, the user group is divided into K categories, and each category of users has similar electricity utilization characteristics.
As a further technical improvement, the result of the spectral clustering is used for carrying out short-term prediction on the power consumption of different types of users based on the LSTM model to construct K types of LSTM prediction models, and each model is constructed as follows:
the LSTM prediction model takes the user line characteristics input at the current moment as information, weather characteristic information, similar day characteristic information and historic memory user behavior characteristic information, and the weather characteristic information and the similar day characteristic information output updated information through the functions of an input gate, a forget gate and an output gate; assuming that the input at time t is X t ∈R n×d The hidden state at the t-th moment is H t ∈R n×h The memory state at time t is C t ∈R n×h The method comprises the steps of carrying out a first treatment on the surface of the The input gate is I t Forgetful door F t And the output gate is O t The expressions of (2) are respectively:
I t =σ(X t W xi +H t-1 W hi +b i )
F t =σ(X t W xf +H t-1 W hf +b f )
O t =σ(X t W xo +H t-1 W ho +b o )
wherein W is xi ,W xf ,W xo ,W hi ,W hf ,W ho Is a weight parameter, b i ,b f ,b o Is a bias parameter, σ () represents a sigmoid function;
updating the hidden state at the t moment needs to be updated through the memory unit; the current state input characteristics and the information of the previous state hiding layer pass through a memory gate to obtain a potential memory unit of the current state:
Figure GDA0004118778520000041
next, the information of the input gate, the forget gate and the output gate is used for memorizing the information, hiding the state and pre-processingUpdating the measurement result; memory cell C at time t t From the last state memory cell C t-1 Potential memory unit for restoring current state through forgetting gate
Figure GDA0004118778520000042
The expression is as follows:
Figure GDA0004118778520000043
wherein W is xc Is the weight parameter of the current input acting on the potential memory unit, W hc Is the weight parameter of the hidden state to the potential memory unit at the last moment, b c Representing bias, as would be the corresponding multiplication of elements between the matrices; updating the hidden layer in the current state is obtained through an output gate, and the expression is as follows:
H t =O t ⊙tanh(C t )
the prediction result of the current state is updated as follows:
y t =H t W hy +b y
wherein W is hy Weight vector representing prediction result of hidden layer, b y Representing the bias term.
As a further technical improvement, the step of correcting the prediction result according to the power consumption level relation is as follows:
step 1: obtaining a prediction result by using an LSTM model
Figure GDA0004118778520000051
Wherein the method comprises the steps of
Figure GDA0004118778520000052
Predictive result representing the amount of electricity used by the user, +.>
Figure GDA0004118778520000053
Prediction of the power consumption of the representation area;
step 2: correcting a prediction result; recording corrected individual user prediction results
Figure GDA0004118778520000054
Find the optimal correction matrix +.>
Figure GDA0004118778520000055
So that the corrected individual user prediction result +.>
Figure GDA0004118778520000056
Meanwhile, the corrected regional power consumption prediction is equal to the sum of the power consumption predictions of the individual users under the jurisdiction; minimizing the modified prediction result +.>
Figure GDA0004118778520000057
Is a variance of (2);
step 3: obtaining corrected overall prediction results:
Figure GDA0004118778520000058
as a further technical improvement, the method finds the optimal correction matrix
Figure GDA0004118778520000059
Taking the variance of the minimum corrected overall prediction error as a criterion; error before correction>
Figure GDA00041187785200000510
The variance is->
Figure GDA00041187785200000511
By minimizing the variance of the corrected overall error:
Figure GDA00041187785200000512
obtaining an optimal weight matrix:
Figure GDA00041187785200000513
as a further technical improvement, the variance matrix W h In the actual electricity consumption prediction, estimation is needed, and the estimation method is as follows: combining the characteristic that the short-term electricity consumption prediction usually takes half an hour as a time interval, taking
Figure GDA00041187785200000514
Where s= (t+h) mod48, I () represents an indicator function.
Compared with the prior art, the invention has the following beneficial technical effects:
the invention carries out short-term prediction of electricity consumption based on the LSTM model, and is used for carrying out short-term electricity consumption prediction on each type of clustered users; and correcting the prediction result according to the electricity consumption level relation, incorporating the regional electricity consumption data, correcting the individual electricity consumption prediction, and improving the prediction accuracy of the regional electricity consumption.
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In order to more clearly illustrate the embodiments of the present invention, the drawings required for the embodiments will be briefly described below, and it will be apparent that the drawings in the following description are only some embodiments of the present invention, and that other drawings may be derived from the drawings before the inventive work is not performed for a person of ordinary skill in the art.
Fig. 1 is a schematic flow chart of a power consumption prediction model based on a hierarchical aggregation relationship.
Detailed Description
Embodiments of the present disclosure are described in detail below with reference to the accompanying drawings.
Other advantages and effects of the present disclosure will become readily apparent to those skilled in the art from the following disclosure, which describes embodiments of the present disclosure by way of specific examples. It will be apparent that the described embodiments are merely some, but not all embodiments of the present disclosure. The disclosure may be embodied or practiced in other different specific embodiments, and details within the subject specification may be modified or changed from various points of view and applications without departing from the spirit of the disclosure. It should be noted that the following embodiments and features in the embodiments may be combined with each other without conflict. All other embodiments, which can be made by one of ordinary skill in the art without inventive effort, based on the embodiments in this disclosure are intended to be within the scope of this disclosure.
Example 1
As shown in fig. 1, a power consumption prediction method based on LSTM neural network and hierarchical relation correction is characterized by comprising the following steps:
1) Constructing a prediction variable system according to the electricity behavior characteristics of the user, the meteorological characteristics and the similar daily characteristics;
2) Clustering is carried out aiming at the electricity utilization behavior characteristics of the users by using a spectral clustering method, and a user classification result is obtained;
3) Short-term prediction is respectively carried out on the electricity consumption of different types of users based on the LSTM model;
4) And correcting the prediction result according to the power consumption level relation to obtain the prediction result.
Example two
One difference from the embodiment is that: the construction prediction variable body at least comprises user electricity behavior characteristics, meteorological characteristics and similar day characteristics.
The user electricity consumption behavior characteristics at least comprise historical electricity consumption, annual electricity consumption and monthly electricity consumption of the user, recent hour electricity consumption of the user, holiday electricity consumption of the user and early morning electricity consumption of the user.
The meteorological features include air temperature, humidity, wind speed, wind direction, air pressure, and rainfall probability.
The similar day characteristic includes the same hours of electricity usage one day ago, two days ago, one week ago, and one year ago.
Example III
The second difference from the embodiment is that:
the user electricity behavior characteristics are used for carrying out spectral clustering on the user, and the electricity behavior is roughly divided into: unimodal, bimodal, multimodal, stationary, four types; therefore, the present invention selects the cluster number of clusters to be 4. The clustering method selected by the invention is spectral clustering, which is a modern clustering algorithm, and has the advantage of high stability compared with the traditional K-means clustering method; the specific method of spectral clustering is as follows:
spectral clustering is a clustering algorithm derived according to the principle of graph theory, and is essentially to reduce the dimension of features through the feature vector of the graph Laplace matrix, so that different categories are more obviously classified. The specific algorithm is as follows:
assume that the sample is { x 1 ,…,x n X, where x i ∈R d
Step 1: constructing a similarity matrix S of the sample; defining a similarity matrix using a full join method, wherein
Figure GDA0004118778520000081
Step 2: construct adjacency matrix w=s of the graph and degree matrix d=diag (D) 1 ,…,d n ) Wherein
Figure GDA0004118778520000082
Step 3: the laplacian matrix of the graph is constructed.
The invention selects a symmetric standardized Laplace matrix, and the formula is as follows:
Figure GDA0004118778520000083
step 4: performing feature decomposition on the Laplace matrix:
L sym u i =λ i u i ,i=1,…,n
wherein, lambda is more than or equal to 0 1 ≤…≤λ k ≤…≤λ n Constructing a matrix U= [ U ] 1 ,…,u k ]:
Step 5: normalizing the rows of the matrix U; constructionMatrix T epsilon R n×k Elements of
Figure GDA0004118778520000084
Step 6: and taking the matrix T as a sample matrix, taking rows as samples, listing as characteristics, and performing K-means clustering to obtain a clustering result.
The method for utilizing spectral clustering aims at the electricity utilization behavior characteristics of users to cluster, and finally, the user group is divided into K categories, and each category of users has similar electricity utilization characteristics.
And carrying out power consumption prediction, wherein short-term prediction of different types of user power consumption is carried out based on an LSTM model, a K type LSTM prediction model is constructed by using the result of spectral clustering, and each model is constructed as follows: the LSTM prediction model takes the user line characteristics input at the current moment as information, weather characteristic information, similar day characteristic information and historic memory user behavior characteristic information, and the weather characteristic information and the similar day characteristic information output updated information through the functions of an input gate, a forget gate and an output gate; the LSTM model has excellent performance in long-time sequence prediction, and the LSTM selectively memorizes or ignores information of hidden states at a previous time point by a gating method. The mechanism is determined by an input gate, a forget gate and an output gate, and the input at the t-th moment is assumed to be X t ∈R n×d The hidden state at the t-th moment is H t ∈R n×h The memory state at time t is C t ∈R n×h The method comprises the steps of carrying out a first treatment on the surface of the The input gate is I t Forgetful door F t And the output gate is O t The expressions of (2) are respectively:
I t =σ(X t W xi +H t-1 W hi +b i )
F t =σ(X t W xf +H t-1 W hf +b f )
O t =σ(X t W xo +H t-1 W ho +b o )
wherein W is xi ,W xf ,W xo ,W hi ,W hf ,W ho Is a weight parameter, b i ,b f ,b o Is a bias parameter, σ () represents a sigmoid function;
updating the hidden state at the t moment needs to be updated through the memory unit; the current state input characteristics and the information of the previous state hiding layer pass through a memory gate to obtain a potential memory unit of the current state:
Figure GDA0004118778520000091
next, updating the memory information, the hidden state and the prediction result by using the information of the input gate, the forget gate and the output gate; memory cell C at time t t From the last state memory cell C t-1 Potential memory unit for restoring current state through forgetting gate
Figure GDA0004118778520000092
The expression is as follows:
Figure GDA0004118778520000093
wherein W is xc Is the weight parameter of the current input acting on the potential memory unit, W hc Is the weight parameter of the hidden state to the potential memory unit at the last moment, b c Representing bias, as would be the corresponding multiplication of elements between the matrices; updating the hidden layer in the current state is obtained through an output gate, and the expression is as follows:
H t =O t ⊙tanh(C t )
the prediction result of the current state is updated as follows:
y t =H t W hy +b y
wherein W is hy Weight vector representing prediction result of hidden layer, b y Representing the bias term.
And carrying out prediction result correction according to the power utilization level relation, wherein the prediction result correction comprises two processes of level relation and prediction result correction. The hierarchical relationship is as follows:suppose C j Representing an area (a village, a district, a city or an entire autonomous area),
Figure GDA0004118778520000094
indicating the amount of electricity used in the area. The following relationship holds: />
Figure GDA0004118778520000095
Integrating all individual electricity consumption into one vector Y t =[y 1t ,…,y Nt ] T . Integrating all individual power consumption and regional power consumption into a vector
Figure GDA0004118778520000101
Then, the following relationship holds: z is Z t =SY t . Where S is a matrix composed of 0 and 1 as elements.
The prediction result correction is performed based on a hierarchical relationship, and the correction of the prediction result cannot change the relationship that the regional power consumption is equal to the sum of the power consumption of the users managed by the region. One simple idea is to sum individual predictions through jurisdictions, but this introduces large errors into regional power usage predictions. The invention adopts the method that the LSTM model is respectively and independently established for the individual user and the regional power consumption to obtain the prediction result
Figure GDA0004118778520000102
(future h-phase). At this time, a->
Figure GDA0004118778520000103
No longer satisfies, and needs to be corrected, the correction process is as follows:
prediction of power usage for individual users
Figure GDA0004118778520000104
Through the whole prediction result->
Figure GDA0004118778520000105
I.e. V. Modified global prediction result->
Figure GDA0004118778520000106
The method meets the following conditions: />
Figure GDA0004118778520000107
This process satisfies the relationships between levels without losing much prediction accuracy. The key process of correction is to construct a weight matrix P h The construction process is as follows:
constructing a weight matrix P by taking the minimized variance of the corrected overall prediction error as a criterion h . Total error before correction
Figure GDA0004118778520000108
The variance is->
Figure GDA0004118778520000109
By minimizing the variance of the corrected overall error: />
Figure GDA00041187785200001010
Obtaining an optimal weight matrix:
Figure GDA00041187785200001011
obtaining corrected overall prediction results:
Figure GDA00041187785200001012
the error variance W before correction is needed in the actual power consumption prediction h The estimation is carried out, and the estimation method is as follows:
combining the characteristic that the short-term electricity consumption prediction usually takes half an hour as a time interval, taking
Figure GDA0004118778520000111
Where s= (t+h) mod48, I () represents an indicator function.
It will be clear to those skilled in the art that, for convenience and brevity of description, specific working procedures of the above-described systems, apparatuses and units may refer to corresponding procedures in the foregoing method embodiments, which are not repeated herein.

Claims (4)

1. The power consumption prediction method based on LSTM neural network and hierarchical relation correction is characterized by comprising the following steps of:
1) Constructing a prediction variable system according to the electricity behavior characteristics, the meteorological characteristics and the similar daily characteristics of the user;
2) Clustering is carried out aiming at the electricity utilization behavior characteristics of the users by using a spectral clustering method, the user group is divided into K categories, and each category of users has similar electricity utilization behavior characteristics to obtain user classification results;
3) Short-term prediction is respectively carried out on the electricity consumption of different types of users based on the LSTM prediction model;
4) Carrying out prediction result correction according to the power consumption level relation to obtain a corrected prediction result;
the method for carrying out short-term prediction on the power consumption of different types of users based on the LSTM prediction model comprises the following steps: constructing a K-type LSTM prediction model by using the result of the spectral clustering;
the step of correcting the prediction result according to the power consumption level relation is as follows:
step 1: the LSTM prediction model obtains the whole prediction result
Figure FDA0004118778510000011
Wherein->
Figure FDA0004118778510000012
Representing the predicted result of the user's power consumption,/-, and>
Figure FDA0004118778510000013
indicating regional power usage pre-allocationMeasuring results;
step 2: correcting a prediction result; recording the corrected user electricity consumption prediction result
Figure FDA0004118778510000014
Searching for an optimal correction matrix P * So that the corrected prediction result of the user's power consumption +.>
Figure FDA0004118778510000015
Meanwhile, the corrected regional power consumption prediction result is equal to the sum of the power consumption prediction results of the individual users under the jurisdiction;
step 3: obtaining corrected overall prediction results:
Figure FDA0004118778510000016
wherein, searching the optimal correction matrix P * Taking the variance of the error of the minimum corrected overall prediction result as a criterion; recording errors of the overall prediction results before correction
Figure FDA0004118778510000017
The variance matrix is->
Figure FDA0004118778510000018
By minimizing the variance of the error of the corrected overall prediction result:
Figure FDA0004118778510000019
obtaining an optimal correction matrix: p (P) * =(S T W -1 S) -1 S T W -1
The variance matrix W is obtained through estimation in the actual electricity consumption prediction, and the estimation method is as follows: taking at a time interval of half an hour
Figure FDA00041187785100000110
Where s= (t+h) mod48, I () represents an indicator function.
2. The power consumption prediction method based on LSTM neural network and hierarchical relation correction according to claim 1, wherein: the user electricity consumption behavior characteristics comprise historical electricity consumption of a user, annual electricity consumption, monthly electricity consumption, recent hour electricity consumption of the user, holiday electricity consumption of the user and early morning electricity consumption of the user.
3. The power consumption prediction method based on LSTM neural network and hierarchical relation correction according to claim 1, wherein: the meteorological features include air temperature, humidity, wind speed, wind direction, air pressure and rainfall likelihood.
4. The power consumption prediction method based on LSTM neural network and hierarchical relation correction according to claim 2, wherein: the similar day characteristic includes the same hours of electricity usage one day ago, two days ago, one week ago, and one year ago.
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