CN107944594B - Short-term load prediction method based on spearman grade and RKELM microgrid - Google Patents
Short-term load prediction method based on spearman grade and RKELM microgrid Download PDFInfo
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Abstract
The invention provides a short-term load prediction method based on SPSS and RKELM micro-grids, which comprises the following steps: (1) on-line data acquisition and periodic updating of a historical database (2) to preprocess historical data and extract load sample characteristics; (3) constructing an offline load prediction model; (4) screening a historical sample similar to the precursor load of the point to be predicted by adopting a spearman grade correlation method to serve as an online training sample; (5) and calculating a load predicted value at a future moment according to the online training sample and the offline load prediction model. The method uses a rapid simplified kernel function extreme learning machine (RKELM), a chaotic particle swarm algorithm and a spearman grade correlation screening (RKELM) to establish a prediction model containing off-line parameter optimization and on-line load; the timeliness of the algorithm is guaranteed through periodic updating of the model parameters, meanwhile, the complexity of online prediction calculation is reduced, the time-duration data storage amount is reduced, the calculation cost is reduced, and the short-term and ultra-short-term loads of the microgrid can be predicted accurately.
Description
Technical Field
The invention belongs to the technical field of microgrid load prediction, and particularly relates to a microgrid short-term load prediction method based on spearman grades and RKELM
Technical Field
The micro-grid is a small power generation and distribution system which is composed of a distributed power supply, an energy storage device, an energy conversion device, a load, a monitoring and protecting device and the like. The grid-connected operation or the independent operation of the microgrid is realized through the controllability of a power supply and a load inside the microgrid. The micro-grid is externally represented as an integral unit, and meanwhile, the micro-grid can be smoothly merged into a main grid for operation, so that the requirements of users on electric energy quality and power supply safety are met. With the rapid development of new energy and new technology, distributed power generation is gradually popularized and applied. The micro-grid can promote the access of distributed clean energy, reduce environmental pollution and power transmission loss, and improve the power supply reliability of users through switching of an isolated/grid-connected mode. Meanwhile, load prediction of the microgrid is an important component of an energy management system of the smart grid, and an effective load prediction model is of great importance to demand side management and development of smart grid technology.
Data analysis shows that the load randomness of the micro-grid is higher, the similarity of the data is not large after the time passes, and the prediction difficulty is higher compared with that of a large power grid. In order to ensure efficient economic operation of the microgrid, accurate load prediction is an important basis for decision-making of microgrid optimization operation and energy management. The method for predicting the short-term load of the power system mainly comprises an extrapolation method, a time series method, an artificial neural network method, a support vector machine method and the like. However, these methods are not well suited for load prediction of the microgrid with higher load randomness or have higher calculation cost. The invention provides a short-term load prediction method based on a spearman grade and an RKELM microgrid.
Disclosure of Invention
The invention provides a short-term load forecasting method based on a spearman grade and an RKELM microgrid, aiming at the problems in the prior art.
The scheme of the invention is as follows: a short-term load prediction method based on a spearman grade and an RKELM microgrid comprises the following steps:
step A: online data collection is periodic and updates the historical database.
And B: and preprocessing the historical data and extracting load sample characteristics.
And C: constructing an offline load prediction model: and performing offline training on the load historical data by using a chaotic particle swarm algorithm and a simplified kernel function extreme learning machine (RKELM) to generate an offline load prediction model.
Step D: and screening a historical sample similar to the historical load of the point to be predicted by adopting a spearman grade correlation method to serve as an online training sample.
Step E: online prediction: and calculating a load predicted value at a future moment according to the online training sample and the offline load prediction model.
Further, for said step a, the online data collection periodically and updates the duration database, including:
and collecting data on line, updating a historical database every day, and storing the data of the previous 30 days in the database.
Further, for the step B, preprocessing the historical data and extracting load sample features, including:
step B1: the historical data is normalized and scaled to a [0,1] interval, and the formula is as follows:
wherein xiLoading a power value at the moment i; x is the number ofminThe minimum load active value of the historical data in the database is obtained; x is the number ofmaxThe maximum load active value of the historical data in the database is obtained;and (4) normalizing the load value at the moment i.
Step B2: marking missing data or more than 4 continuous sampling values as problem data PkModified according to the following formula:
wherein P isk' As modified data, Pk-96Data for 96 points before time k (i.e., one day ago), Pk-192Data of 192 points before time k, Pk-288The data of 288 points before the time k. The data acquisition period is 15 min.
Step B3: extracting load sample features including sampling time tiWeek information wiAverage load before day daiBefore-day lag load dliBefore-week hysteresis load wli。
For average load d before dayaiThe calculation method is shown in the following formula.
xiFor the moment i loaded with a power value, xi-jIs the load active value of the ith-j point; daiEach load point is corresponding to a day-ahead average load; every 15 minutes, the average load before the day is the average load of the first 96 points of the load point; i represents the current load point, i starts at 97 since the data of the first 96 points have no daily average load, and j is 1 to 96; g is the total number of samples of the historical load samples;
for the before-day lag load dliHysteresis load w before cycleliThe calculation method is shown in the following formula.
dli=xi-96;i=97…G
wli=xi-672;i=673…G
For convenience of description, A is usediAll the load attributes of the ith sample are referred to, and the structure is shown as the following formula.
Ai={ti,wi,dai,dli,wli}
Further, for step C, an offline load prediction model is constructed: and performing offline training on the load historical data by adopting a chaotic particle swarm algorithm and a simplified kernel function extreme learning machine to generate an offline load prediction model. The method comprises the following steps:
step C1: using the sample MTParameters to be optimized with the RKELM algorithm (extreme learning machine algorithm with simplified kernel function)Andconstruction of prediction model of T timeReuse of the verification sample VTLoad characteristics of, predict and verify
In the formula, g is a prediction model training algebra and corresponds to a chaotic particle swarm optimization algebra;parameters of the RKELM neural network model at the T moment;is a Gaussian kernel function parameter at time T;the RKELM neural network model dimension at the T moment;load prediction values for the validation samples; mTFor training samples at time T, VTA verification sample at time T; a. theiTo verify the characteristics of the sample.
Step C2: solving the optimal model parameters by using a chaotic particle swarm algorithm, wherein the target function of the chaotic particle swarm algorithm (CPSO) is the minimum prediction Error, the Mean Absolute percentage Error (Mean Absolute percentage Error) is used as an evaluation function when the prediction model is constructed, and the evaluation function is shown in the following formula
Wherein S in the formula is the total prediction time. Optimizing parameters according to the prediction error and parameters of each group
Step C3: and constructing an offline prediction model by using the optimal parameters C, gamma and L.
Further, for the step D, screening a historical sample similar to the historical load of the point to be predicted by adopting a spearman grade correlation method to serve as an online training sample. The method specifically comprises the following steps:
taking the historical load { x) of the predicted pointi-1,xi-2,xi-3,...,xi-16Is a reference sample, ranked by sizeComparing the similarity of the historical load sample at the similar moment of the previous 8 days with the reference sample, wherein the spearman grade correlation coefficient is as follows:
wherein x'i-mAre historical load samples. Let the time to be predicted be ToAnd selecting 12 samples with the maximum rho as online training samples.
Further, for said step E, online predicting: and calculating a load predicted value at a future moment according to the online training sample and the offline load prediction model. The method specifically comprises the following steps:
and (3) performing online prediction by using 12 samples screened out by the spearman grade correlation as online training samples and combining an offline load prediction model. Meanwhile, in order to ensure the prediction accuracy, the off-line optimization operation interval is one week, and the latest 1-month historical data is adopted for operation so as to obtain the optimal parameter C at each momentT,γT,LT(T ═ 1,2,.., 96) for online prediction of the next week.
Compared with the prior art, the invention provides a method for optimizing a prokaryotic function model by adopting an RKELM model and screening relevant samples by using a spearman on the basis of analyzing and evaluating the load data of the microgrid, so that the precision is improved and the calculation efficiency is considered.
Drawings
FIG. 1 is a comparison graph of optimal parameters for the week 1 test of building microgrid load prediction in an example.
Fig. 2 is a graph of the results of the weekly building microgrid load predictions of the example.
Fig. 3 is a graph of the load prediction relative error of the building microgrid at week 1.
Fig. 4 is a flowchart of a short-term load prediction method based on spearman rank and RKELM microgrid, which is provided by the invention:
fig. 5 is a schematic implementation diagram of the microgrid load prediction principle.
Detailed Description
The practice of the present invention will be further illustrated with reference to the accompanying drawings and examples, but the practice and protection of the invention is not limited thereto.
Fig. 1 is a short-term load prediction method based on spearman grades and RKELM microgrid. As shown in fig. 1, the method of the present invention comprises the steps of:
step A: the on-line data acquisition periodically updates the historical database, and specifically comprises the following steps:
and the data acquisition device is used for acquiring data on line, updating the historical database every day, and storing the data of the previous 30 days in the database.
And B: preprocessing historical data and extracting load sample characteristics, and the method specifically comprises the following steps:
step B1: the historical data is normalized and scaled to a [0,1] interval, and the formula is as follows:
wherein xiLoading a power value at the moment i; x is the number ofminThe minimum load active value of the historical data in the database is obtained; x is the number ofmaxThe maximum load active value of the historical data in the database is obtained;is when i isAnd (4) calibrating the load normalization value.
The collected data is difficult to avoid error data or missing, and therefore, correction of the data is essential.
Step B2: marking missing data or more than 4 continuous sampling values as problem data PkModified according to the following formula:
wherein P isk' As modified data, Pk-96Data for 96 points before time k (i.e., one day ago), Pk-192Data of 192 points before time k, Pk-288The data of 288 points before the time k. The data acquisition period is 15 min.
Step B3: extracting load sample features including sampling time tiWeek information wiAverage load before day daiBefore-day lag load dliBefore-week hysteresis load wli。
For average load d before dayaiThe calculation method is shown in the following formula.
In the formula: g is the total number of samples of the historical load samples.
For the before-day lag load dliHysteresis load w before cycleliThe calculation method is shown in the following formula.
dli=xi-96;i=97…G
wli=xi-672;i=673…G
For convenience of description, A is usediAll the load attributes of the ith sample are referred to, and the structure is shown as the following formula.
Ai={ti,wi,dai,dli,wli}
And C: constructing an offline load prediction model: and performing offline training on the load historical data by using a chaotic particle swarm algorithm and a simplified kernel function extreme learning machine (RKELM) to generate an offline load prediction model. The method comprises the following steps:
the neural network model of the prokaryote function extreme learning machine (KELM) is shown as follows.
Where N is the input layer dimension. K (x)i,xj) Is the selected kernel function. Kernel function K (x)i,xj) It usually takes a gaussian kernel function, as shown below.
ΩELM(xi,xj)=K(xi,xj)=exp(-γ||xi-xj||2)
It can be known that KELM is an NxN dimensional neural network, where N is the input layer input data xjN is also the number of training samples. Obviously, under the structure, when N is increased, the complexity of the network is increased, and the calculation amount is increased rapidly, so that the number of training samples is limited, the generalization capability of the kernel function limit learning machine is limited, and the establishment of a prediction model is not facilitated.
According to the literature (Deng Wanyu, on year Soon, Zheng Qinghua. A Fast Reduced Kernel Extreme Learning Machine [ J ]. NEURAL NETWORKS, 2016, 76:29-38.), it is known that the support vector can be randomly selected, and thus the KELM can be simplified to RKELM. Its network can be represented as:
in the formula, beta is an output weight connecting the hidden layer and the output layer, y is an RKELM training target value, and L is an RKELM neural network model dimension;
writing in matrix form then:
KN×Lβ=Y
in the formula KN×L=k(X,XL) For simplified kernel function momentsIn the matrix, β is an output weight vector of length L.
Minimize output weight β:
in the ELM algorithm, the output weight β is usually calculated by taking the least squares solution thereof, and the calculation method is shown as the following formula.
Based on the above equation, the neural network function of RKELM can be expressed as:
thus, the N × N dimensional neural network can be simplified to an N × L neural network. In comparison to KELM, RKELM requires an optimal solution for L in addition to C and γ.
Step C1: using the sample MTParameters to be optimized with the RKELM algorithm (extreme learning machine algorithm with simplified kernel function)Andconstruction of prediction model of T timeReuse of the verification sample VTLoad characteristics of, predict and verify
In the formula, g is a prediction model training algebra and corresponds to a chaotic particle swarm optimization algebra;parameters of the RKELM neural network model at the T moment;is a Gaussian kernel function parameter at time T;the RKELM neural network model dimension at the T moment;load prediction values for the validation samples; mTFor training samples at time T, VTA verification sample at time T; a. theiTo verify the characteristics of the sample.
The selection mode of the verification sample is that parameter optimization is carried out on the load prediction model at the time T, and the verification sample is
VT={xi|Ai};ti=T
In the formula, VTA verification sample of the load prediction model at the time T; x is the number ofiIs a predicted target value, i.e. an actual value; a. theiTo verify the characteristics of the sample.
For the training sample, the predecessor sample at the T moment and the two-day previous synchronization sample are used as the training sample for the off-line optimization of the T moment, as follows
MT={xi|Ai};ti={T-1,T-2,
T-94,…,T-98,T-192,…,T-196}
In the formula MTAnd training samples of the prediction model at the T moment.
Step C2: solving the optimal model parameters by using a chaotic particle swarm algorithm, wherein the target function of the chaotic particle swarm algorithm (CPSO) is the minimum prediction Error, the Mean Absolute percentage Error (Mean Absolute percentage Error) is used as an evaluation function when the prediction model is constructed, and the evaluation function is shown in the following formula
Wherein S in the formula is the total prediction time. Optimizing parameters according to the prediction error and parameters of each group
Compared with the particle swarm algorithm, the chaotic particle swarm algorithm has the characteristic of ergodicity, and the probability of obtaining the global optimum is improved by inerting part of particles trapped in the local extreme value, namely introducing chaos. The same part as the particle swarm algorithm is shown in the formula
WhereinRepresents the g-th generation position of the i-th particle, corresponding to the parameterThe g-th change vector of the ith particle, w is the inertia coefficient, c1,c2The degree of trust of the particle to itself and the degree of trust of the group, r1,r2Is [0,1]]Random number between, pbestiThe optimal position of the ith particle is the gbest optimal position of the population.
When the fitness function of the particle satisfies the following formula in 5 successive generations
And judging that the particles are trapped in a stagnation state, and entering a chaotic search mode. Where per is the threshold. Randomly generating a 3-dimensional vector space
Y0={Y0,1,Y0,2,Y0,3};Y0,1,Y0,2,Y0,3∈[0,1]
By vector Y0As an iteration initial vector. According to Logistic equation.
Yn+1=μYn(1-Yn)
Starting chaos sequence iteration to obtain iteration sequence Y0,Y1…Yn-1The Logistic equation has the characteristic of ergodicity, and can iterate a plurality of fields around the local optimal solution. Then by means of a carrier wave, according to
Y′i=gbest+R(2Yi-1);i=0,1,…n-1
And amplifying to a region with the original position of the particle, namely gbest, as the center and the radius of R, wherein R is the radius of the chaotic search. Obtained Y'iEntering a particle swarm optimization process. And when the precision requirement is met or the upper limit of the iteration times is reached to 200 times, the parameter optimization process is terminated.
The off-line optimizing operation interval period is one week, and the latest 1 month historical data is adopted for operation so as to obtain the optimal parameter C at each momentT,γT,LT(T ═ 1,2,.., 96) for online prediction of the next week.
Step C3: using optimum parameters CT,γT,LT(T ═ 1, 2.., 96) an offline prediction model was constructed.
Step D: and screening a historical sample similar to the historical load of the point to be predicted by adopting a spearman grade correlation method to serve as an online training sample. The method specifically comprises the following steps:
taking the historical load { x) of the predicted pointi-1,xi-2,xi-3,…,xi-16Is a reference sample, ranked by sizeComparison front 8 days similarSimilarity between the historical load sample and the reference sample at the moment, and a spearman grade correlation coefficient is as follows:
wherein x'i-mAre historical load samples. Let the time to be predicted be ToAnd selecting 12 samples with the maximum rho as online training samples.
Step E: online prediction: and calculating a load predicted value at a future moment according to the online training sample and the offline load prediction model. The method specifically comprises the following steps:
and (3) performing online prediction by using 12 samples screened out by the spearman grade correlation as online training samples and combining an offline load prediction model. Meanwhile, in order to ensure the prediction accuracy, the off-line optimization operation interval is one week, and the latest 1-month historical data is adopted for operation so as to obtain the optimal parameter C at each momentT,γT,LT(T ═ 1,2,.., 96) for online prediction of the next week.
Specific examples of predictions:
historical loads of residential building users, which are collected by a certain property company, for 70 days from 1 ten days to 3 months are used as original sampling data; the sampling time interval of the sample is 15min, and the original sampling attribute comprises time and load power.
Before the data is imported into the prediction model, all attributes are normalized and scaled to [0,1], and the load power is taken as an example below
Using historical data of previous 40 days as time-sharing training and verification samples for off-line parameter optimization; the load history data of the last 30 days is a test sample of online prediction for testing prediction errors.
The accuracy evaluation criteria adopted by the load prediction are errors: the mean relative error (MAPE), relative error (APE) are used herein
Wherein S is the number of prediction samples; x is the number ofiIs the actual value of the test sample;predicted values for the test samples.
Off-line parameter optimization results
Each week of the prediction has a set of RKELM parameters, each containing 96 sets of optimal parameter values corresponding to a time point every 15min from 0:00 during the day. Taking week 1 of the prediction test as an example, the values of the parameters are shown in fig. 1.
Load prediction result
After offline parameter optimization, screening a historical sample similar to the historical load of the point to be predicted by adopting a spearman grade correlation method as an online training sample, and obtaining a load prediction result as shown in the following figures 2 and 3:
it can be seen from the prediction results that the load prediction results are more accurate in most time periods, but also because the model is established on the basis of the lagging load data of the similar day, when the similarity between the load prediction target value of a day and the historical data is low, the deviation of the prediction values is larger, as shown in the prediction results of the 6 th day in fig. 3.
TABLE 1 building load prediction error after model period update
Table 1 shows the prediction result error after the model optimal parameter period is updated in weeks 2 to 4. Therefore, the prediction model disclosed by the invention has the advantages that the average prediction relative error is not more than 12% after periodic updating, and the requirement that the prediction error is not more than 15% in one month in the industry is met.
Aiming at the characteristics of severe change and large difference of building loads with certain regularity, the kernel function and the particle swarm algorithm are improved, the kernel function is reasonably reduced in dimension, chaotic search is added in the particle swarm algorithm, so that the robustness and the generalization capability of the model are enhanced, similar historical samples are reasonably searched based on the spearman grade to construct an online load prediction model, and the flexibility and the prediction capability of the prediction model are improved.
Claims (4)
1. A short-term load prediction method based on a spearman grade and an RKELM microgrid is characterized by comprising the following steps:
step A: collecting online data and periodically updating a historical database;
and B: preprocessing historical data and extracting load sample characteristics;
and C: constructing an offline load prediction model: the method comprises the following steps of performing offline training on load historical data by using a chaotic particle swarm algorithm and a simplified kernel function extreme learning machine RKELM to generate an offline load prediction model, wherein the offline load prediction model specifically comprises the following steps:
step C1: using the sample MTWith the parameters to be optimized in the RKELM algorithmAndconstruction of prediction model of T timeReuse of the verification sample VTThe load characteristics of (a) are predicted and verified:
in the above formula, g is the prediction model training algebraCorresponding to the optimized algebra of the chaotic particle swarm algorithm;parameters of the RKELM neural network model at the T moment;is a Gaussian kernel function parameter at time T;the RKELM neural network model dimension at the T moment;load prediction values for the validation samples; mTFor training samples at time T, VTA verification sample at time T; a. theiTo verify the characteristics of the sample;
step C2: solving the optimal model parameters by using a chaotic particle swarm algorithm, wherein the target function of the chaotic particle swarm algorithm is the minimum prediction error, and the average absolute percentage error is used as an evaluation function in the construction of the prediction model, as shown in the following formula
Wherein S in the formula is the total prediction time; optimizing parameters according to the prediction error and parameters of each group
Step C3: an off-line prediction model is constructed by utilizing the optimal parameters C, gamma and L,xifor a moment i loaded with a positive value, MAPEgIn the form of an average absolute percentage error,predicting the value of the test sample;
step D: adopting a spearman grade correlation method to screen a historical sample similar to the historical load of a point to be predicted as an online training sample, and specifically comprising the following steps: taking historical load { x) of point to be predictedi-1,xi-2,xi-3,...,xi-16Is a reference sample, ranked by sizeComparing the similarity of the historical load sample at the similar moment of the previous 8 days with the reference sample, wherein the spearman grade correlation coefficient is as follows:
wherein x'i-mIs a historical load sample; let the time to be predicted be ToSelecting 12 samples with the maximum rho as online training samples;
step E: online prediction: and calculating a load predicted value at a future moment according to the online training sample and the offline load prediction model.
2. The method according to claim 1, wherein the step A comprises:
and collecting data on line, updating a historical database every day, and storing the data of the previous 30 days in the database.
3. The method according to claim 1, wherein the step B comprises:
step B1: the historical data is normalized and scaled to a [0,1] interval, and the formula is as follows:
wherein xiLoading a power value at the moment i; x is the number ofminThe minimum load active value of the historical data in the database is obtained; x is the number ofmaxThe maximum load active value of the historical data in the database is obtained;load normalization value at the moment i;
step B2: marking missing data or more than 4 continuous sampling values as problem data PkModified according to the following formula:
wherein P'kFor the corrected data, Pk-96Data for 96 points before time k, Pk-192Data of 192 points before time k, Pk-288288 points before time k; the data acquisition period is 15 min;
step B3: extracting load sample features including sampling time tiWeek information wiAverage load before day daiBefore-day lag load dliBefore-week hysteresis load wli;
For average load d before dayaiThe calculation method is shown as the following formula:
xifor the moment i loaded with a power value, xi-jIs the load active value of the ith-j point; daiEach load point is corresponding to a day-ahead average load; one point every 15 minutes, average daily negativeThe load is the average load of the first 96 points of the load point; i represents the current load point, i starts at 97 since the data of the first 96 points have no daily average load, and j is 1 to 96; g is the total number of samples of the historical load samples;
for the before-day lag load dliHysteresis load w before cycleliThe calculation method is shown as the following formula:
dli=xi-96;i=97…G
wli=xi-672;i=673…G
for convenience of description, A is usediAll load characteristics for the ith sample are expressed as follows:
Ai={ti,wi,dai,dli,wli}。
4. the method according to claim 1, wherein in step E:
12 samples screened out by spearman grade correlation are used as online training samples, and online prediction is carried out by combining an offline load prediction model; meanwhile, in order to ensure the prediction accuracy, the off-line optimization operation interval is one week, and the latest 1-month historical data is adopted for operation so as to obtain the optimal parameter C at each momentT,γT,LT(T ═ 1,2,.., 96) for online prediction of the next week.
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