CN102855412A - Wind electric power prediction method and device thereof - Google Patents

Wind electric power prediction method and device thereof Download PDF

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CN102855412A
CN102855412A CN2012103559121A CN201210355912A CN102855412A CN 102855412 A CN102855412 A CN 102855412A CN 2012103559121 A CN2012103559121 A CN 2012103559121A CN 201210355912 A CN201210355912 A CN 201210355912A CN 102855412 A CN102855412 A CN 102855412A
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vector machine
parameter
data
supporting vector
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CN102855412B (en
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张翌晖
王凯
陈立
胡志坚
王贺
张承学
宁文辉
周科
仉梦林
龚晓璐
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Wuhan University WHU
Electric Power Research Institute of Guangxi Power Grid Co Ltd
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Electric Power Research Institute of Guangxi Power Grid Co Ltd
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Abstract

本发明涉及一种风电功率预测方法及其装置。步骤一:从数值天气预报系统或者电力系统相关SCADA中进行数据提取,对提取后的数据进行平滑化处理;步骤二:根据处理后的数据确定最小二乘支持向量机训练样本的输入和输出;步骤三:初始化最小二乘支持向量机及改进的自适应粒子群算法的相关参数;步骤四:根据上面的优化过程对模型参数进行优化;步骤五:根据优化后的参数得到最小二乘支持向量机的模型;步骤六:根据最小二乘支持向量机的模型进行预测。本发明建模过程简单使用,能快速有效的进行风电功率预测,对于电力系统的安全稳定和调度运行具有重要意义,因此具有广泛的推广应用价值。

The invention relates to a wind power prediction method and a device thereof. Step 1: Extract data from the numerical weather forecast system or SCADA related to the power system, and smooth the extracted data; Step 2: Determine the input and output of the least squares support vector machine training samples according to the processed data; Step 3: Initialize the relevant parameters of the least squares support vector machine and the improved adaptive particle swarm optimization algorithm; Step 4: Optimize the model parameters according to the above optimization process; Step 5: Obtain the least squares support vector according to the optimized parameters The model of the machine; step six: predict according to the model of the least squares support vector machine. The modeling process of the invention is simple to use, can quickly and effectively predict wind power, is of great significance to the safety, stability and scheduling operation of the power system, and thus has wide popularization and application value.

Description

A kind of wind power forecasting method and device thereof
Technical field
The present invention relates to a kind of power forecasting method and device thereof, especially relate to a kind of wind power forecasting method and device thereof.
Background technology
Wind energy becomes one of fastest-rising regenerative resource in the world today because its good economic benefit and social benefit have been subject to the great attention of countries in the world government.Many countries are greatly developing wind-powered electricity generation as one of Optimization of Energy Structure, the important measures of improving the ecological environment.Yet because undulatory property and the intermittence of wind energy, wind energy turbine set has been brought severe challenge to economic load dispatching and the safety and stability of electric system behind the access electrical network.If can predict accurately and effectively wind energy turbine set power, will make power scheduling department in time reasonably adjust operation plan according to the output of wind electric field situation of change in advance.Thereby alleviate the adverse effect that wind-electricity integration causes electrical network, reduce the margin capacity of system, reduce on the whole the operating cost of wind-electricity integration.The application of wind power prediction in electric power system dispatching as shown in Figure 3.
The wind power forecast model based on statistical method of at present researchist's foundation mainly contains: time series models, data mining model, artificial nerve network model and supporting vector machine model etc.Wherein supporting vector machine model overcome the artificial neural network generalization ability poor, easily be absorbed in the shortcomings such as local minimum, improved to a certain extent the learning ability of model, be subjected to domestic and international researchist's attention.Least square method supporting vector machine is a kind of improvement of standard support vector machine, adopt QUADRATIC PROGRAMMING METHOD FOR to change the inequality constrain in the support vector machine into equality constraint, with the experience loss of error sum of squares loss function as training set, quadratic programming problem is converted into the system of linear equations problem of finding the solution, accelerate the speed of problem solving, improved the convergence of algorithm precision.
For the forecast model based on statistical method, both direction is arranged roughly: the first, the meteorological condition such as first prediction of wind speed, wind direction, the wind merit curve according to blower fan obtains wind power again; The second, directly the "black box" model between match historical wind speed and wind direction and the power is not considered wind merit curve etc.This method can effectively reduce the conditions such as environment temperature, air pressure to the impact of atmospheric density, thereby reduces the impact on wind power.
Summary of the invention
The present invention solves the existing technical matters of prior art; Provide the relation of a kind of direct consideration and relevant historical data or numerical weather prediction data and power stage, the simple a kind of wind power forecasting method of modeling method and device thereof.
It is to solve the existing technical matters of prior art that the present invention also has a purpose; A kind of strong adaptability is provided, has can be used as a kind of wind power forecasting method and the device thereof of the power prediction model of general wind energy turbine set.
It is the technical matters that solves the existing grade of prior art that the present invention has a purpose again; A kind of fast computational speed is provided, and cost is low, a kind of wind power forecasting method and the device thereof easily promoted.
Above-mentioned technical matters of the present invention is mainly solved by following technical proposals:
A kind of wind power forecasting method is characterized in that, may further comprise the steps:
Step 1, data extraction module are carried out the data extraction from numerical weather forecast system or the relevant SCADA of electric system, the data after carrying are carried out pre-service; And determine the input and output of least square method supporting vector machine training sample according to the data after processing;
Step 2, data initialization module are to the parameter of initialization least square method supporting vector machine in the step 1 and improved self-adaptation particle cluster algorithm;
Step 3, optimize module take regression error quadratic sum minimum as fitness, use improve the self-adaptation particle cluster algorithm based on initialization in the step 2 after parameter the Parameters in Regression Model of least square method supporting vector machine is optimized;
Step 4, model building module obtain the model of least square method supporting vector machine according to the parameter after optimizing in the step 3;
Step 5, prediction module are predicted according to the model of the least square method supporting vector machine that obtains in the step 4.
At above-mentioned a kind of wind power forecasting method, in the described step 1, in the described step 1, extract data and comprise wind speed, temperature and wind energy turbine set actual measurement output power data, described wind speed, temperature are as the input data of least square method supporting vector machine training sample; Described wind energy turbine set actual measurement output power is as the output data of least square method supporting vector machine training sample.
At above-mentioned a kind of wind power forecasting method, in the described step 2, after the input and output of having determined training least square method supporting vector machine model, the prerequisite of carrying out model optimization is the initialization of model parameter and optimized algorithm parameter, and initialization mainly contains following three steps:
Punishment parameter γ and the nuclear parameter σ of step 2.1, at first definite least square method supporting vector machine 2Scope;
The correlation parameter of step 2.2, secondly definite self-adaptation particle cluster algorithm;
Step 2.3, at punishment parameter γ and the nuclear parameter σ of least square method supporting vector machine 2Random initializtion population in the scope.
At above-mentioned a kind of wind power forecasting method, in the described step 3, behind parameter initialization, need to set the fitness of optimized algorithm, preference pattern regression error quadratic sum minimum is fitness, according to the training input and output data of selecting in the step 1, use the correlation parameter of improved self-adaptation particle cluster algorithm Optimized Least Square Support Vector, step is as follows:
Step 3.1, initialization population parameter;
Step 3.2, calculating adaptive weighting;
Step 3.3, take regression error quadratic sum minimum as fitness, calculate also relatively fitness value;
Step 3.4, renewal speed and position;
Step 3.5, judge end condition, satisfied then export optimum results, satisfied then repeating step 3.2 is to step 3.4.
At above-mentioned a kind of wind power forecasting method, in the described step 4, after using improved self-adaptation particle cluster algorithm to obtain the parameter of least square method supporting vector machine, solve the most lower two parameter alpha of taking advantage of in the support vector machine regression model according to least square method supporting vector machine algorithm and training sample iAnd b, then will find the solution the parameter that obtains and bring in the regression function formula (7), thereby construct the least square method supporting vector machine model of wind power prediction.
At above-mentioned a kind of wind power forecasting method, in the described step 5, selected correlated inputs is determined the input of prediction during according to training pattern, uses the model after optimizing to obtain predicting the outcome of wind power.
At above-mentioned a kind of wind power forecasting method, in the described step 2.1, the least square method supporting vector machine model is based on following method:
A given training data point set (x i, y i), i=1 ..., l, x i∈ R dBe and the closely-related influence factor of premeasuring, d is the dimension of selected input variable, i output y i∈ R is the measured value of premeasuring, and l is the sum of given data point set; The target of supporting vector machine model is regression function suc as formula a form of structure:
Formula one
So that functional value y corresponding to sample input data x can be similar to Nonlinear Mapping by enough f (x)
Figure BDA00002175880600042
To input in data-mapping to a high-dimensional feature space, and press structural risk minimization, the optimization aim of least square method supporting vector machine is expressed as:
min 1 2 | | ω | | 2 + 1 2 γ Σ i = 1 l e i 2 Formula two
Figure BDA00002175880600044
In the formula: ω is weight vector; B is side-play amount; e iBe error variance; E ∈ R L * 1Be error vector; γ is regularization parameter, and control is to the punishment degree of error;
Definition Lagrange multiplier α i, α i∈ R L * 1, then the Lagrange polynomial expression of its dual problem is:
min J = 1 2 | | ω | | 2 + 1 2 γ Σ i = 1 l e i 2 - Σ i = 1 l α i ( ω T φ ( x i ) + b + e i - y i ) Formula three
Can be got by the Karush-Kuhn-Tucker condition:
Figure BDA00002175880600051
Formula four
Formula four is write as following system of linear equations:
I 0 0 - Z T 0 0 0 L T → 0 0 γI - I Z L → I 0 w b e α = 0 0 0 y Formula five
In the formula five:
Figure BDA00002175880600053
Figure BDA00002175880600054
E=[e 1, e 2..., e l], y=[y 1, y 2..., y l] T, α=[α 1, α 2..., α l] T
W in the subtractive five and e make five of formulas relevant with b, α, and like this, formula five is converted into following system of equations:
0 L → T L → A b α = 0 y Formula six
In the formula: A=ZZ T+ γ -1I, ZZ TBe the square formation of a l * l, the element of the capable n row of m is
Figure BDA00002175880600056
Because A is a symmetrical positive semidefinite matrix, in the hope of the solution of b and α, the solution of b and α is brought in the formula one, obtain the expression formula of regression model:
y = Σ i = 1 l α i K ( x i , x ) + b Formula seven
In the formula: K (x i, the x) Nonlinear Mapping of expression from the input space to the high-dimensional feature space, namely the kernel function of LSSVM selects different kernel functions can form different algorithms; Studies show that effect is preferably the radial basis kernel function in regression forecasting:
K ( x , x i ) = exp ( - | | x - x i | | 2 2 σ 2 ) Formula eight
In the formula: σ is the nuclear width, || x-x k‖ is two norms;
In the regression model of least square method supporting vector machine, punishment parameter γ and nuclear parameter σ 2Be two parameters that affect least square method supporting vector machine performance maximum, the present invention uses improved self-adaptation particle cluster algorithm to carry out the optimization of parameter;
In the described step 2.2, described self-adaptation particle cluster algorithm is described as: speed and the position of supposing i particulate in d dimension search volume are expressed as respectively V i=v I1v I2..., v Id), X i=(x I1, x I2..., x Id); By estimating the objective function of each particulate, determine t constantly each particulate optimum position (pbest) P of process i=(pbest 1, pbest I2, pbest Id) and optimal location (gbest) P that finds of colony g=(gbest I1, gbest I2, gbest Id), upgrade respectively again speed and the position of each particulate by following formula:
v I, j(t+1)=wv I, j(t)+c1rand ((p I, j-x Ij(t))+c 2Rand ((P G, i-x I, j(t)) formula nine
x I, j(t+1)=x I, j(t)+v I, j(t+1), j=1 ..., d formula ten
In the formula, w is the Inertia Weight coefficient, is used for the front face velocity of control to the impact of present speed; C1 and c2 are speedup factors, and rand is the random number between 0 to 1, in addition, and by the speed interval v of particulate is set Min, v Max] and position range [x Min, x Max], then can move particulate and carry out suitable restriction;
The selection of Inertia Weight coefficient w directly affects the convergence of algorithm performance, and larger w has stronger global convergence ability, and less w then has a stronger local convergence ability; Therefore, the correct method of choosing inertia weight should be the increase along with iterations, and inertia weight should constantly reduce, thereby so that particle swarm optimization has stronger global convergence ability at the evolution initial stage, has stronger local convergence ability late period and evolve; Wherein the value of self-adaptation inertia weight w is shown below:
w = ( w max - w min ) * exp ( - β ( t T max ) 2 ) + w min Formula 11
In the formula, the value of β is determined by experience, general β ∈ [15,20].T is current evolutionary generation, T MaxBe maximum evolutionary generation.
A kind of device that adopts wind power forecasting method is characterized in that, comprises the data extraction module, data initialization module, optimization module, model building module and the prediction module that connect successively.
Therefore, the present invention has following advantage: 1. the relation of the direct consideration of the present invention and relevant historical data or numerical weather prediction data and power stage, and modeling method is simple; 2. strong adaptability can be used as the power prediction model of general wind energy turbine set; 3. owing to do not consider middle a lot of modeling links, only consider the relation between the input and output, comparatively speaking, fast computational speed; 4. cost is low, easily promotes.
Description of drawings
Fig. 1 is the process flow diagram of improved self-adaptation particle cluster algorithm Optimized Least Square Support Vector among the present invention.
Fig. 2 is whole modeling process flow diagram of the present invention.
Fig. 3 is that the present invention is applied in the application synoptic diagram in the electric power system dispatching.
Embodiment
Below by embodiment, and by reference to the accompanying drawings, technical scheme of the present invention is described in further detail.
Embodiment:
At first, introduce the theory basis that the present invention relates to.
1. least square method supporting vector machine regression forecasting principle.
A given training data point set (x i, y i), i=1 ..., l, x i∈ R dBe and the closely-related influence factor of premeasuring, d is the dimension of selected input variable, i output y i∈ R is the measured value of premeasuring, and l is the sum of given data point set.The target of supporting vector machine model is regression function suc as formula (1) form of structure.
Figure BDA00002175880600071
So that functional value y corresponding to sample input data x can be similar to Nonlinear Mapping by enough f (x) To input in data-mapping to a high-dimensional feature space.Press structural risk minimization (structurerisk minimization, SRM) principle, the optimization aim of least square method supporting vector machine can be expressed as:
min 1 2 | | ω | | 2 + 1 2 γ Σ i = 1 l e i 2 - - - ( 2 )
Figure BDA00002175880600081
In the formula: ω is weight vector; B is side-play amount; e iBe error variance; E ∈ R L * 1Be error vector; γ is regularization parameter, and control is to the punishment degree of error.
Introduce Lagrange multiplier α i, α i∈ R L * 1, then the Lagrange polynomial expression of its dual problem is:
min J = 1 2 | | ω | | 2 + 1 2 γ Σ i = 1 l e i 2 - Σ i = 1 l α i ( ω T φ ( x i ) + b + e i - y i ) - - - ( 3 )
By Karush-Kuhn-Tucker(KKT) condition can get
Figure BDA00002175880600083
Formula (4) can be write as following system of linear equations:
I 0 0 - Z T 0 0 0 L T → 0 0 γI - I Z L → I 0 w b e α = 0 0 0 y - - - ( 5 )
In the formula (5):
Figure BDA00002175880600085
E=[e 1, e 2..., e l], y=[y 1, y 2..., y l] T, α=[α 1, α 2..., α l] T
W and e in the subtractive (5) make system of equations (5) only relevant with b, α, and like this, system of equations (5) just is converted into and can obtains following system of equations:
0 L → T L → A b α = 0 y - - - ( 6 )
In the formula: A=ZZ T+ γ -1I, ZZ TBe the square formation of a l * l, the element of the capable n row of m is
Figure BDA00002175880600088
Because A is a symmetrical positive semidefinite matrix, so can try to achieve the solution of b and α, the solution of b and α is brought in the formula (1), obtain the expression formula of regression model:
y = Σ i = 1 l α i K ( x i , x ) + b - - - ( 7 )
In the formula: K (x i, x) Nonlinear Mapping of expression from the input space to the high-dimensional feature space, the namely kernel function of LSSVM.Select different kernel functions can form different algorithms.Studies show that effect is preferably the radial basis kernel function in regression forecasting:
K ( x , x i ) = exp ( - | | x - x i | | 2 2 σ 2 ) - - - ( 8 )
In the formula: σ is the nuclear width, || x-x k‖ is two norms.
In the regression model of least square method supporting vector machine, punishment parameter γ and nuclear parameter σ 2Two parameters that affect least square method supporting vector machine performance maximum.The present invention uses improved self-adaptation particle cluster algorithm to carry out the optimization of parameter.
2. self-adaptation particle cluster algorithm and improvement.
Classical particle cluster algorithm can be described as: speed and the position of supposing i particulate in d dimension search volume are expressed as respectively V i=v I1, v I2..., vi D), X i=(x I1, x I2..., x Id).By estimating the objective function of each particulate, determine t constantly each particulate optimum position (pbest) P of process i=(pbest I1, pbest I2, pbest Id) and optimal location (gbest) P that finds of colony g=(gbesti 1, gbest I2, gbest Id), upgrade respectively again speed and the position of each particulate by following formula:
v i,j(t+1)=w·v i,j(t)+c 1·rand·((p i,j-x i,j(t))+c 2·rand·((P g,i-x i,j(t)) (9)
x i,j(t+1)=x i,j(t)+v i,j(t+1),j=1,…,d (10)
In the formula, w is the Inertia Weight coefficient, is used for the front face velocity of control to the impact of present speed; C1 and c2 are speedup factors, and rand is the random number between 0 to 1, in addition, and by the speed interval [v of particulate is set Min, v Max] and position range [x Min, x Max], then can move particulate and carry out suitable restriction.
The selection of Inertia Weight coefficient w directly affects the convergence of algorithm performance, and larger w has stronger global convergence ability, and less w then has a stronger local convergence ability.Therefore, the correct method of choosing inertia weight should be the increase along with iterations, and inertia weight should constantly reduce, thereby so that particle swarm optimization has stronger global convergence ability at the evolution initial stage, has stronger local convergence ability late period and evolve.So this paper uses the method for self-adaptation inertia weight that particle cluster algorithm is improved, wherein the value of self-adaptation inertia weight w is shown below:
w = ( w max - w min ) * exp ( - β ( t T max ) 2 ) + w min - - - ( 11 )
In the formula, the value of β is determined by experience, general β ∈ [15,20].T is current evolutionary generation, T MaxBe maximum evolutionary generation.
3. the general step of improved particle cluster algorithm Optimized Least Square Support Vector.
The step of improved particle swarm optimization least square method supporting vector machine is as follows:
1) initialization population parameter;
2) calculate adaptive weighting according to formula (11);
3) take regression error quadratic sum minimum as fitness, calculating is also compared fitness value;
4) according to formula (9), formula (10) renewal speed and position;
5) judge end condition, satisfied then export optimum results, satisfied then turning to step 2).
The below is the modeling process of specific embodiments of the invention.
Modeling overall flow figure of the present invention as shown in Figure 2.Concrete steps are as follows:
1) choose the training sample data line number Data preprocess of going forward side by side, data prediction comprised for two steps, the first step, the smoothing techniques of missing data, second step, the normalized of data.
Owing to subjective or objectively reason exist the situation of data exception or disappearance, for the predicated error that reduces of trying one's best, at first missing data is revised, this paper adopts straight line to look into reinforcing method.Namely for the data x that lacks t, by formula (12) missing data is carried out the smoothing correction.
x t = x j + x i - x j 2 , i < t < j - - - ( 12 )
The x here iAnd x jBe respectively i, j actual measurement wind speed or temperature data constantly, x tFor looking into the data of benefit, concern to revise according to trend.
After to the data smoothing techniques, need to carry out the normalization arrangement to data, data are carried out normalized, can reduce unhealthy data to the impact of prediction effect, accelerate training speed and the speed of convergence of model sample.The method for normalizing that this patent adopts is shown in formula (13):
y i = x i - x min x max - x min - - - ( 13 )
In the formula: y iA certain variable data x among the training sample T iData after the normalization, x MinBe the minimum value of reorganization variable data among the sample T, x MaxFor organizing the maximal value of variable data among the sample T
After data are carried out pre-service, initialization least squares support vector machine and improvement particle cluster algorithm parameter;
2) take regression error quadratic sum minimum as fitness, use improvement self-adaptation particle cluster algorithm to be optimized according to the Parameters in Regression Model of the described Optimization Steps of upper joint to least square method supporting vector machine;
3) parameter after utilize optimizing and relevant training data obtain the regression model of least square method supporting vector machine;
4) the wind speed and direction data or historical wind speed, wind direction and the power data that provide according to the numerical weather forecast system use the training good model that wind power is predicted.
Specific embodiment described herein only is to the explanation for example of the present invention's spirit.Those skilled in the art can make various modifications or replenish or adopt similar mode to substitute described specific embodiment, but can't depart from spirit of the present invention or surmount the defined scope of appended claims.

Claims (8)

1. a wind power forecasting method is characterized in that, may further comprise the steps:
Step 1, data extraction module are carried out the data extraction from numerical weather forecast system or the relevant SCADA of electric system, the data after carrying are carried out pre-service; And determine the input and output of least square method supporting vector machine training sample according to the data after processing;
Step 2, data initialization module are to the parameter of initialization least square method supporting vector machine in the step 1 and improved self-adaptation particle cluster algorithm;
Step 3, optimize module take regression error quadratic sum minimum as fitness, use improve the self-adaptation particle cluster algorithm based on initialization in the step 2 after parameter the Parameters in Regression Model of least square method supporting vector machine is optimized;
Step 4, model building module obtain the model of least square method supporting vector machine according to the parameter after optimizing in the step 3;
Step 5, prediction module are predicted according to the model of the least square method supporting vector machine that obtains in the step 4.
2. a kind of wind power forecasting method according to claim 1, it is characterized in that, in the described step 1, in the described step 1, extract data and comprise wind speed, temperature and wind energy turbine set actual measurement output power data, described wind speed, temperature are as the input data of least square method supporting vector machine training sample; Described wind energy turbine set actual measurement output power is as the output data of least square method supporting vector machine training sample.
3. a kind of wind power forecasting method according to claim 1, it is characterized in that, in the described step 2, after the input and output of having determined training least square method supporting vector machine model, the prerequisite of carrying out model optimization is the initialization of model parameter and optimized algorithm parameter, and initialization mainly contains following three steps:
Punishment parameter γ and the nuclear parameter σ of step 2.1, at first definite least square method supporting vector machine 2Scope;
The correlation parameter of step 2.2, secondly definite self-adaptation particle cluster algorithm;
Step 2.3, at punishment parameter γ and the nuclear parameter σ of least square method supporting vector machine 2Random initializtion population in the scope.
4. a kind of wind power forecasting method according to claim 1, it is characterized in that, in the described step 3, behind parameter initialization, need to set the fitness of optimized algorithm, preference pattern regression error quadratic sum minimum is fitness, according to the training input and output data of selecting in the step 1, use the correlation parameter of improved self-adaptation particle cluster algorithm Optimized Least Square Support Vector, step is as follows:
Step 3.1, initialization population parameter;
Step 3.2, calculating adaptive weighting;
Step 3.3, take regression error quadratic sum minimum as fitness, calculate also relatively fitness value;
Step 3.4, renewal speed and position;
Step 3.5, judge end condition, satisfied then export optimum results, satisfied then repeating step 3.2 is to step 3.4.
5. a kind of wind power forecasting method according to claim 1, it is characterized in that, in the described step 4, after using improved self-adaptation particle cluster algorithm to obtain the parameter of least square method supporting vector machine, solve the most lower two parameter alpha of taking advantage of in the support vector machine regression model according to least square method supporting vector machine algorithm and training sample iAnd b, then will find the solution the parameter that obtains and bring in the regression function formula (7), thereby construct the least square method supporting vector machine model of wind power prediction.
6. a kind of wind power forecasting method according to claim 1 is characterized in that, in the described step 5, selected correlated inputs is determined the input of prediction during according to training pattern, uses the model after optimizing to obtain predicting the outcome of wind power.
7. a kind of wind power forecasting method according to claim 1 is characterized in that, in the described step 2.1, the least square method supporting vector machine model is based on following method:
A given training data point set (x i, y i), i=1 ..., l, x i∈ R dBe and the closely-related influence factor of premeasuring, d is the dimension of selected input variable, i output y i∈ R is the measured value of premeasuring, and l is the sum of given data point set; The target of supporting vector machine model is regression function suc as formula a form of structure:
Formula one
So that functional value y corresponding to sample input data x can be similar to Nonlinear Mapping by enough f (x)
Figure FDA00002175880500032
To input in data-mapping to a high-dimensional feature space, and press structural risk minimization, the optimization aim of least square method supporting vector machine is expressed as:
min 1 2 | | &omega; | | 2 + 1 2 &gamma; &Sigma; i = 1 l e i 2 Formula two
Figure FDA00002175880500034
In the formula: ω is weight vector; B is side-play amount; e iBe error variance; E ∈ R L * 1Be error vector; γ is regularization parameter, and control is to the punishment degree of error;
Definition Lagrange multiplier α i, α i∈ R L * 1, then the Lagrange polynomial expression of its dual problem is:
min J = 1 2 | | &omega; | | 2 + 1 2 &gamma; &Sigma; i = 1 l e i 2 - &Sigma; i = 1 l &alpha; i ( &omega; T &phi; ( x i ) + b + e i - y i ) Formula three
Can be got by the Karush-Kuhn-Tucker condition:
Formula four
Formula four is write as following system of linear equations:
I 0 0 - Z T 0 0 0 L T &RightArrow; 0 0 &gamma;I - I Z L &RightArrow; I 0 w b e &alpha; = 0 0 0 y Formula five
In the formula five:
Figure FDA00002175880500043
Figure FDA00002175880500044
E=[e 1, e 2..., e l], y=[y 1, y 2..., y l] T, α=[α 1, α 2..., α l] T
W in the subtractive five and e make five of formulas relevant with b, α, and like this, formula five is converted into following system of equations:
0 L &RightArrow; T L &RightArrow; A b &alpha; = 0 y Formula six
In the formula: A=ZZ T+ γ -1I, ZZ TBe the square formation of a l * l, the element of the capable n row of m is
Figure FDA00002175880500046
Because A is a symmetrical positive semidefinite matrix, in the hope of the solution of b and α, the solution of b and α is brought in the formula one, obtain the expression formula of regression model:
y = &Sigma; i = 1 l &alpha; i K ( x i , x ) + b Formula seven
In the formula: K (x i, the x) Nonlinear Mapping of expression from the input space to the high-dimensional feature space, namely the kernel function of LSSVM selects different kernel functions can form different algorithms; Studies show that effect is preferably the radial basis kernel function in regression forecasting:
K ( x , x i ) = exp ( - | | x - x i | | 2 2 &sigma; 2 ) Formula eight
In the formula: σ is the nuclear width, || x-x k‖ is two norms;
In the regression model of least square method supporting vector machine, punishment parameter γ and nuclear parameter σ 2Be two parameters that affect least square method supporting vector machine performance maximum, the present invention uses improved self-adaptation particle cluster algorithm to carry out the optimization of parameter;
In the described step 2.2, described self-adaptation particle cluster algorithm is described as: speed and the position of supposing i particulate in d dimension search volume are expressed as respectively Vi=(v I1, v I2..., v Id), X i=(x I1, x I2..., x Id); By estimating the objective function of each particulate, determine t constantly each particulate optimum position (pbest) P of process i=(pbest I1, pbest I2, pbest Id) and optimal location (gbest) P that finds of colony g=(gbest I1, gbest I2, bgest Id), upgrade respectively again speed and the position of each particulate by following formula:
Vi , j(t+1)=wv I, j(t)+c 1Rand (p I, j-x I, j(t))+c 2Rand ((p G, i-x I, j(t)) formula nine
x I, j(t+1)=x I, j(t)+v I, j(t+1), j=1 ..., d formula ten
In the formula, w is the Inertia Weight coefficient, is used for the front face velocity of control to the impact of present speed; C1 and c2 are speedup factors, and rand is the random number between 0 to 1, in addition, and by the speed interval [v of particulate is set Min, v Max] and position range [x Min, x Max], then can move particulate and carry out suitable restriction;
The selection of Inertia Weight coefficient w directly affects the convergence of algorithm performance, and larger w has stronger global convergence ability, and less w then has a stronger local convergence ability; Therefore, the correct method of choosing inertia weight should be the increase along with iterations, and inertia weight should constantly reduce, thereby so that particle swarm optimization has stronger global convergence ability at the evolution initial stage, has stronger local convergence ability late period and evolve; Wherein the value of self-adaptation inertia weight w is shown below:
w = ( w max - w min ) * exp ( - &beta; ( t T max ) 2 ) + w min Formula 11
In the formula, the value of β is determined by experience, general β ∈ [15,20], and t is current evolutionary generation, T MaxBe maximum evolutionary generation.
8. a device that adopts a kind of wind power forecasting method claimed in claim 1 is characterized in that, comprises the data extraction module, data initialization module, optimization module, model building module and the prediction module that connect successively.
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