CN108022014A - A kind of Load Prediction In Power Systems method and system - Google Patents

A kind of Load Prediction In Power Systems method and system Download PDF

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CN108022014A
CN108022014A CN201711269680.7A CN201711269680A CN108022014A CN 108022014 A CN108022014 A CN 108022014A CN 201711269680 A CN201711269680 A CN 201711269680A CN 108022014 A CN108022014 A CN 108022014A
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施亚林
张同乔
刘晓
张若冰
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Jinan Power Supply Co of State Grid Shandong Electric Power Co Ltd
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    • G06QINFORMATION AND COMMUNICATION TECHNOLOGY [ICT] SPECIALLY ADAPTED FOR ADMINISTRATIVE, COMMERCIAL, FINANCIAL, MANAGERIAL OR SUPERVISORY PURPOSES; SYSTEMS OR METHODS SPECIALLY ADAPTED FOR ADMINISTRATIVE, COMMERCIAL, FINANCIAL, MANAGERIAL OR SUPERVISORY PURPOSES, NOT OTHERWISE PROVIDED FOR
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    • G06Q50/06Energy or water supply
    • HELECTRICITY
    • H02GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02JCIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
    • H02J3/00Circuit arrangements for ac mains or ac distribution networks
    • HELECTRICITY
    • H02GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02JCIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
    • H02J3/00Circuit arrangements for ac mains or ac distribution networks
    • H02J3/003Load forecast, e.g. methods or systems for forecasting future load demand
    • YGENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
    • Y04INFORMATION OR COMMUNICATION TECHNOLOGIES HAVING AN IMPACT ON OTHER TECHNOLOGY AREAS
    • Y04SSYSTEMS INTEGRATING TECHNOLOGIES RELATED TO POWER NETWORK OPERATION, COMMUNICATION OR INFORMATION TECHNOLOGIES FOR IMPROVING THE ELECTRICAL POWER GENERATION, TRANSMISSION, DISTRIBUTION, MANAGEMENT OR USAGE, i.e. SMART GRIDS
    • Y04S10/00Systems supporting electrical power generation, transmission or distribution
    • Y04S10/50Systems or methods supporting the power network operation or management, involving a certain degree of interaction with the load-side end user applications

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Abstract

The invention discloses a kind of Load Prediction In Power Systems method and system, including:Obtain electric system historical load data;The historical load data got is pre-processed;Trend is carried out to pretreated data to handle, obtain trend term using gray theory;Carry out spectrum analysis and determine Decomposition order, the data after going trend processing are decomposed using variation mode decomposition;The support vector cassification summation that data after decomposition are optimized using improved NSGA II is reconstructed;Trend term is added to obtain final prediction result according to the result after reconstruct;The predicted value of each load component is overlapped, determines actual prediction result.Beneficial effect of the present invention:Load Prediction In Power Systems method and system provided by the present invention, the support vector machine method optimized based on gray theory-variation mode decomposition and NSGA II, can successfully managing load prediction, to fluctuate big accuracy not high, the shortcomings that being easily trapped into local optimum.

Description

A kind of Load Prediction In Power Systems method and system
Technical field
The present invention relates to technical field of power systems, more particularly to a kind of Load Prediction In Power Systems method and system.
Background technology
Load forecast is the important content of Power System Planning and operation of power networks, premise and basis.In country energetically Energy conservation and environmental protection is advocated to save under the situation of existing energy-output ratio, the accuracy of load forecast is related to whole power grid enterprise Economy, Effec-tive Function and the entirely safe operation of power generation power grid of industry, i.e., essence of the current situation for load forecast Degree proposes the requirement of higher standard.
Currently used short-term load forecasting conventional method has pre- as the classics of representative using time series method, regression analysis Survey method, using expert system approach, neutral net, fuzzy logic method as representative artificial intelligence approach.Since electric load changes Process is a highly complex non-linear process, and conventional method is difficult to set up effective mathematical model, causes prediction result smart Degree is not high.
Gray forecast approach error when predicting the electric load of fluctuation change greatly is larger in existing electric system prediction, It is poor to discrete data precision of prediction.
The theoretical foundation of artificial intelligence maturation, there is an application in practical power systems, however they also have it is respective Defect, forecast result are unsatisfactory.
The content of the invention
The purpose of the present invention is exactly to solve the above-mentioned problems, it is proposed that a kind of Load Prediction In Power Systems method and is The support vector machine method that system, this method and system are optimized based on gray theory-variation mode decomposition and NSGA-II, Neng Gouyou It is not high that effect fluctuates load prediction big accuracy, the shortcomings that being easily trapped into local optimum.
To achieve these goals, the present invention adopts the following technical scheme that:
The invention discloses a kind of Load Prediction In Power Systems method, comprise the following steps:
(1) electric system historical load data is obtained;
(2) historical load data got is pre-processed;
(3) trend is carried out to pretreated data to handle, obtain trend term using gray theory;
(4) carry out spectrum analysis and determine Decomposition order, the data after going trend processing are carried out using variation mode decomposition Decompose;
(5) the support vector cassification summation that the data after decomposition are optimized using improved NSGA- II is reconstructed;
(6) trend term is added to obtain final prediction result according to the result after reconstruct;
(7) predicted value of each load component is overlapped, determines actual prediction result.
Further, the historical load data to getting pre-processes, and is specially:
Data are carried out to change and remove outlier processing at equal intervals, the data containing marginal value is changed at equal intervals, and dispose Edge data.
Further, it is described using gray theory pretreated data are carried out with trend processing to be specially:
To pretreated data accumulation or inverse accumulated generating ash model, the differential equation is determined with time series data Parameter, progressively makes ash quantity albefaction, and then makes prediction to to-be.
Further, according to the definition type of gray system theory, parameter a and u are solved;
Parameter a and u according to trying to achieve obtain prediction model and are:
Reduced by regressive, it is as follows to obtain final prediction result:
Wherein, x(1)For x(0)One-accumulate generation new sequence;A and u is parameter, u items in order to control;x(0)(1) it is Beginning data;x(0)(t) it is data of time when being t, x(1)(t) it is x(0)(t) the new sequence of one-accumulate generation;For t Data when+1,For one-accumulate generationNew sequence.
Further, the data after going trend processing are decomposed specially using variation mode decomposition:
Using variation mode decomposition data, input signal is decomposed into the k finite bandwidths with centre frequency, is referred to as Mode uk, make the sum of the bandwidth estimation of each mode minimum.
Further, decomposition model is specially:
In formula, δ (t) is impulse function;To seek partial derivative to t;F is original signal, ukFor the mode of k-th of limited-bandwidth Component;ωkFor the centre frequency of the modal components of k-th of limited-bandwidth;uk(t) it is k-th limited-bandwidth of time when being t Modal components.
Further, the support vector cassification that the data after decomposition are optimized using improved NSGA- II is summed and carried out Reconstruct, is specially:
According to supporting vector machine model, introduce Lagrange multiplier algorithm and obtain optimization object function:
Introduce Nonlinear MappingRn→ H, a new data set is mapped as by sample:
Then the above problem is converted into:
Wherein, αiFor Lagrange multiplier.
Further, pretreatment operation is carried out using method for normalizing, support vector machines parameter is optimized, specifically For:
In formula:x'ijFor the normalized value of i-th of input quantity jth dimension, x'ij∈[0,1];Tieed up for i-th of input quantity jth Original value;xjminMinimum value in being tieed up for all input quantity jth;xjmaxMaximum in being tieed up for all input quantity jth;
Set population scale Ppop, iterative algebra Ggen, using floating-point encoding, chromosome is encoded, wherein dyeing The 1st multiplication factor C of body, the 2nd is Radial basis kernel function parameter γ, and the 3rd is Emse, the 4th is 1-R, and the 5th is Rrank, The layering of i.e. every chromosome, the smaller then fitness of numerical value is bigger, and the 6th is Ddis, for level it is identical when judge degree of rarefication according to According to;
Random generation initial population, with EmseIt is object function with R, carries out quick non-dominated ranking and selection, intersect, become It is different;
When iterations reaches maximum iteration, optimized parameter C and γ are obtained.
The invention also discloses a kind of Load Prediction In Power Systems system, including:
Data acquisition module, for obtaining electric system historical load data;
Pretreatment module, carries out data at equal intervals to change and remove the processing of outlier;
Trend processing module is gone, carrying out trend to initial data using gray theory is handled;
Training optimization module, carries out spectrum analysis and determines Decomposition order, decomposed input data with variation mode decomposition, and The support vector cassification that the data of processing are optimized using improved NSGA- II is summed and is reconstructed;
Prediction module, adds trend term to obtain prediction result according to the result after reconstruct;
As a result determining module, for the predicted value of each load component to be overlapped, determines actual prediction result.
Further, further include:
Processing module, for after the electric system historical load data is obtained, being born to the electric system history Lotus data are normalized.
The beneficial effects of the invention are as follows:
Load Prediction In Power Systems method and system provided by the present invention, are System History load data by obtaining point Trend is carried out to historical load data to handle, and determine Decomposition order using spectrum analysis using gray theory, then through variation Mode decomposition decomposes input data, carries out classification summation reconstruct using improved NSGA- II support vector machines optimized afterwards, Finally result is added trend term and is superimposed and obtains prediction result, Load Prediction In Power Systems system provided by the present invention, is based on Gray theory-variation mode decomposition and the support vector machine method of NSGA-II optimizations, it is big can to successfully manage load prediction fluctuation Accuracy is not high, the shortcomings that being easily trapped into local optimum.
Brief description of the drawings
Fig. 1 is a kind of flow chart of embodiment of Load Prediction In Power Systems method provided by the present invention;
Fig. 2 is the prediction model schematic diagram of the embodiment of the present invention;
Fig. 3 is the schematic diagram that SVM handles data;
Fig. 4 is the amplitude change curve of sampled data and utilizes Grey Theory Forecast curve map;
Fig. 5 is the sampled data amplitude change curve after trend;
Fig. 6 removes the spectrum analysis figure after trend for sampled data;
Fig. 7 is each mode and spectrum analysis figure after sampled data progress variation mode decomposition;
Fig. 8 (a)-Fig. 8 (c) is respectively the prediction result of each modal components of sampled data;
Fig. 9 finally predicts for method GM-VMD-SVM involved by this patent and other two methods EMD-SVM and GM-SVM Comparative result result figure;
Figure 10 is the structure diagram of Load Prediction In Power Systems device provided in an embodiment of the present invention.
Embodiment:
The present invention will be further described with example below in conjunction with the accompanying drawings:
A kind of flow chart of embodiment of power system load method provided by the present invention was as shown in Figure 1, should Method includes:
Step S101:Obtain electric system historical load data;
Electric system historical load data can be the historical data gathered by data acquisition and monitoring device.Obtaining To after historical load data, it can further include and pretreatment is normalized to the electric system historical load data.
Step S102:Data are pre-processed;
Data are carried out to change and remove outlier processing at equal intervals, makes to obtain data containing marginal value and changes at equal intervals, and dispose Edge data, to improve precision of prediction.
Step S103:Trend is carried out using gray theory to data to handle.
The definition type of gray system theory is
x(0)(t)+az(1)(t)=u t=2,3 ..., N;
z(1)(t)=0.5x(1)(t-1)+0.5x(1)(t);
Wherein x(1)For x(0)One-accumulate generation new sequence;A and u is parameter, wherein u items in order to control, above-mentioned two formula It can obtain:
Bring a, u for trying to achieve into following equation:
Can obtain prediction model is
Reduced by regressive, it is as follows to obtain final prediction result:
x(1)For x(0)One-accumulate generation new sequence;A and u is parameter, u items in order to control;x(0)(1) it is starting number According to;x(0)(t) it is data of time when being t, x(1)(t) it is x(0)(t) the new sequence of one-accumulate generation;For t+1 when Data,For one-accumulate generationNew sequence.
Step S104:Carry out spectrum analysis and determine Decomposition order, decomposed input data with variation mode decomposition, and will place The data of reason are reconstructed using the support vector cassification summation of improved NSGA- II optimizations.
Using variation mode decomposition data, input signal is decomposed into the k finite bandwidths with centre frequency, is referred to as Mode uk, make the sum of the bandwidth estimation of each mode minimum, its decomposition model is as follows:
In formula:{uk}:={ u1,…,ukIt is each modal components;{ωk}:={ ω12,…,ωkIt is each modal components Centre frequency;δ (t) is impulse function;To seek partial derivative to t;F is original signal.
To try to achieve the optimal solution of above-mentioned restricted problem, Lagrange multiplier operator λ (t) is introduced, by restrictive variational problem It is converted into non-binding variational problem:
The saddle point that optimal solution can ask for above-mentioned Lagrangian by alternating direction Multiplier Algorithm obtains.
Summed and reconstructed using the support vector cassification of improved NSGA- II optimizations, supporting vector machine model is:
In formula:ω is hyperplane method vector;C is penalty factor;N is sample size;ξ is relaxation factor, is represented linearly not Permission mistake point rate in the case of can dividing;yiFor sample output quantity, and yi∈{-1,+1};xiFor sample input quantity;B is threshold value.
Introduce Lagrange multiplier algorithm and obtain optimization object function:
α in formulaiFor Lagrange multiplier.
Introduce Nonlinear MappingRn→ H, a new data set is mapped as by sample
Then the above problem is converted into:
The precision of prediction of SVM regression models is generally characterized with performance by mean square error Emse and coefficient R, its formula It is as follows:
Pretreatment operation is carried out using method for normalizing, it is as follows to support vector machines parameter optimization, formula:
In formula:x'ijFor the normalized value of i-th of input quantity jth dimension, x'ij∈[0,1];For i-th of input quantityjDimension Original value;xjminMinimum value in being tieed up for all input quantity jth;xjmaxMaximum in being tieed up for all input quantity jth.
Set population scale Ppop, iterative algebra Ggen, using floating-point encoding, chromosome is encoded, wherein dyeing The 1st multiplication factor C of body, the 2nd is Radial basis kernel function parameter γ, and the 3rd is Emse, the 4th is 1-R, and the 5th is Rrank, The layering of i.e. every chromosome, the smaller then fitness of numerical value is bigger, and the 6th is Ddis, for level it is identical when judge degree of rarefication according to According to.
Random generation initial population, with EmseIt is object function with R, carries out quick non-dominated ranking and selection, intersect, become It is different.
When iterations reaches maximum iteration, optimized parameter C and γ are obtained.
Step S105 adds trend term to obtain prediction result according to the result after reconstruct.Trend term in step S103 by carrying ash The trend to data obtained by color theoretical fitting is simulated, i.e. match value in Fig. 4.
The predicted value of each load component is overlapped by step S106, determines actual prediction result.
Fig. 4 to Fig. 8 is the process being predicted in an embodiment to the demand history data of acquisition.First to Fig. 4 original numbers Trend is gone to obtain data shown in Fig. 5 according to using gray model, and it is 6 to obtain basic frequency, i.e. Fig. 6.Then variation mode point is utilized Solution is decomposed Fig. 6 data, Decomposition order 6, obtains each mode as shown in Figure 7 and its spectrum analysis.Recycle and improve II Support Vector Machines Optimizeds of NSGA- carry out classification summation reconstruct, and afterwards plus trend term obtains each mode shown in Fig. 8 (a)-Fig. 8 (c) Prediction result.The load prediction curve in Fig. 9 shown in GM-VMD-SVM, Fig. 9 are obtained after finally each mode prediction result is superimposed Middle two other curve is respectively the load prediction results of other two methods EMD-SVM and GM-SVM.It can be obtained by comparing Know that this patent method therefor prediction effect is preferable.
Present invention also offers a kind of Load Prediction In Power Systems device, as shown in Figure 10, including:
Data acquisition module, for obtaining electric system historical load data;
Pretreatment module, carries out data at equal intervals to change and remove the processing of outlier;
Trend processing module is gone, carrying out trend to initial data using gray theory is handled;
Training optimization module, carries out spectrum analysis and determines Decomposition order, decomposed input data with variation mode decomposition, and The support vector cassification that the data of processing are optimized using improved NSGA- II is summed and is reconstructed;
Processing module, for after the electric system historical load data is obtained, being born to the electric system history Lotus data are normalized;
Prediction module, adds trend term to obtain prediction result according to the result after reconstruct;
As a result determining module, for the predicted value of each load component to be overlapped, determines actual prediction result.
This patent utilizes a kind of support vector machine method optimized through gray theory-variation mode decomposition and NSGA-II, energy It is enough preferably to tackle the non-linear and non-stationary of electric load signal, i.e., in the larger signal of processing fluctuation, variation mould State is decomposed can be with good processing;And tackle marginal value i.e. redundancy when, Grey Model can preferably utilize datum According to being predicted;NSGA-II has more preferable ability of searching optimum, it is possible to increase precision of prediction.
Although above-mentioned be described the embodiment of the present invention with reference to attached drawing, model not is protected to the present invention The limitation enclosed, those skilled in the art should understand that, on the basis of technical scheme, those skilled in the art are not Need to make the creative labor the various modifications that can be made or deformation still within protection scope of the present invention.

Claims (10)

  1. A kind of 1. Load Prediction In Power Systems method, it is characterised in that comprise the following steps:
    (1) electric system historical load data is obtained;
    (2) historical load data got is pre-processed;
    (3) trend is carried out to pretreated data to handle, obtain trend term using gray theory;
    (4) carry out spectrum analysis and determine Decomposition order, the data after going trend processing are decomposed using variation mode decomposition;
    (5) the support vector cassification summation that the data after decomposition are optimized using improved NSGA- II is reconstructed;
    (6) trend term is added to obtain final prediction result according to the result after reconstruct;
    (7) predicted value of each load component is overlapped, determines actual prediction result.
  2. 2. a kind of Load Prediction In Power Systems method as claimed in claim 1, it is characterised in that described to be gone through to what is got History load data is pre-processed, and is specially:
    Data are carried out to change and remove outlier processing at equal intervals, the data containing marginal value is changed at equal intervals, and dispose edge Data.
  3. 3. a kind of Load Prediction In Power Systems method as claimed in claim 1, it is characterised in that described utilizes gray theory Pretreated data are carried out with trend processing is specially:
    To pretreated data accumulation or inverse accumulated generating ash model, the ginseng of the differential equation is determined with time series data Amount, progressively makes ash quantity albefaction, and then make prediction to to-be.
  4. A kind of 4. Load Prediction In Power Systems method as claimed in claim 3, it is characterised in that
    According to the definition type of gray system theory, parameter is solvedaWithu
    According to the parameter tried to achieveaWithuObtaining prediction model is:
    <mrow> <msup> <mover> <mi>x</mi> <mo>^</mo> </mover> <mrow> <mo>(</mo> <mn>1</mn> <mo>)</mo> </mrow> </msup> <mrow> <mo>(</mo> <mi>t</mi> <mo>+</mo> <mn>1</mn> <mo>)</mo> </mrow> <mo>=</mo> <mrow> <mo>(</mo> <msup> <mi>x</mi> <mrow> <mo>(</mo> <mn>0</mn> <mo>)</mo> </mrow> </msup> <mo>(</mo> <mn>1</mn> <mo>)</mo> <mo>-</mo> <mfrac> <mi>u</mi> <mi>a</mi> </mfrac> <mo>)</mo> </mrow> <msup> <mi>e</mi> <mrow> <mo>-</mo> <mi>a</mi> <mi>t</mi> </mrow> </msup> <mo>+</mo> <mfrac> <mi>u</mi> <mi>a</mi> </mfrac> <mo>;</mo> </mrow>
    Reduced by regressive, it is as follows to obtain final prediction result:
    <mrow> <msup> <mover> <mi>x</mi> <mo>^</mo> </mover> <mrow> <mo>(</mo> <mn>0</mn> <mo>)</mo> </mrow> </msup> <mrow> <mo>(</mo> <mi>t</mi> <mo>+</mo> <mn>1</mn> <mo>)</mo> </mrow> <mo>=</mo> <msup> <mover> <mi>x</mi> <mo>^</mo> </mover> <mrow> <mo>(</mo> <mn>1</mn> <mo>)</mo> </mrow> </msup> <mrow> <mo>(</mo> <mi>t</mi> <mo>+</mo> <mn>1</mn> <mo>)</mo> </mrow> <mo>-</mo> <msup> <mi>x</mi> <mrow> <mo>(</mo> <mn>1</mn> <mo>)</mo> </mrow> </msup> <mrow> <mo>(</mo> <mi>t</mi> <mo>)</mo> </mrow> <mo>;</mo> </mrow>
    Wherein,x (1)Forx (0)One-accumulate generation new sequence;aWithuIt is parameter,uItem in order to control;x(0)(1) it is starting number According to;x(0)(t) it is data of time when being t, x(1)(t) it is x(0)(t) the new sequence of one-accumulate generation;For t+1 when Data,For one-accumulate generationNew sequence.
  5. 5. a kind of Load Prediction In Power Systems method as claimed in claim 1, it is characterised in that utilize variation mode decomposition pair The data gone after trend processing are decomposed specially:
    Using variation mode decomposition data, input signal is decomposed into the k finite bandwidths with centre frequency, is referred to as mode uk, make the sum of the bandwidth estimation of each mode minimum.
  6. 6. a kind of Load Prediction In Power Systems method as claimed in claim 5, it is characterised in that decomposition model is specially:
    <mfenced open = "{" close = ""> <mtable> <mtr> <mtd> <mrow> <mi>min</mi> <mo>{</mo> <mo>&amp;Sigma;</mo> <mo>|</mo> <mo>|</mo> <msub> <mo>&amp;part;</mo> <mi>t</mi> </msub> <mo>+</mo> <mfrac> <mi>j</mi> <mrow> <mi>&amp;pi;</mi> <mi>t</mi> </mrow> </mfrac> <msub> <mi>u</mi> <mi>k</mi> </msub> <mrow> <mo>(</mo> <mi>t</mi> <mo>)</mo> </mrow> <msup> <mi>e</mi> <mrow> <mo>-</mo> <msub> <mi>j&amp;omega;</mi> <mi>k</mi> </msub> <mi>t</mi> </mrow> </msup> <mo>|</mo> <msubsup> <mo>|</mo> <mn>2</mn> <mn>2</mn> </msubsup> <mo>}</mo> </mrow> </mtd> </mtr> <mtr> <mtd> <mtable> <mtr> <mtd> <mrow> <mi>s</mi> <mo>.</mo> <mi>t</mi> <mo>.</mo> </mrow> </mtd> <mtd> <mrow> <munder> <mo>&amp;Sigma;</mo> <mi>k</mi> </munder> <msub> <mi>u</mi> <mi>k</mi> </msub> <mo>=</mo> <mi>f</mi> </mrow> </mtd> </mtr> </mtable> </mtd> </mtr> </mtable> </mfenced>
    In formula, δ (t) is impulse function;To seek partial derivative to t;F is original signal, ukFor the modal components of k-th of limited-bandwidth; ωkFor the centre frequency of the modal components of k-th of limited-bandwidth;uk(t) be k-th limited-bandwidth of time when being t mode point Amount.
  7. 7. a kind of Load Prediction In Power Systems method as claimed in claim 1, it is characterised in that utilize the data after decomposition The support vector cassification summation that improved NSGA- II optimizes is reconstructed, and is specially:
    According to supporting vector machine model, introduce Lagrange multiplier algorithm and obtain optimization object function:
    <mrow> <mi>max</mi> <mi> </mi> <mi>L</mi> <mo>=</mo> <munderover> <mo>&amp;Sigma;</mo> <mrow> <mi>i</mi> <mo>=</mo> <mn>1</mn> </mrow> <mi>n</mi> </munderover> <msub> <mi>&amp;alpha;</mi> <mi>i</mi> </msub> <mo>-</mo> <mfrac> <mn>1</mn> <mn>2</mn> </mfrac> <munderover> <mo>&amp;Sigma;</mo> <mrow> <mi>i</mi> <mo>=</mo> <mn>1</mn> <mo>,</mo> <mi>j</mi> <mo>=</mo> <mn>1</mn> </mrow> <mi>n</mi> </munderover> <msub> <mi>&amp;alpha;</mi> <mi>i</mi> </msub> <msub> <mi>&amp;alpha;</mi> <mi>j</mi> </msub> <msub> <mi>y</mi> <mi>i</mi> </msub> <msub> <mi>y</mi> <mi>j</mi> </msub> <msubsup> <mi>x</mi> <mi>i</mi> <mi>T</mi> </msubsup> <msub> <mi>x</mi> <mi>j</mi> </msub> <mo>;</mo> </mrow>
    <mrow> <mfenced open = "{" close = ""> <mtable> <mtr> <mtd> <mrow> <munderover> <mo>&amp;Sigma;</mo> <mrow> <mi>i</mi> <mo>=</mo> <mn>1</mn> </mrow> <mi>n</mi> </munderover> <msub> <mi>&amp;alpha;</mi> <mi>i</mi> </msub> <msub> <mi>y</mi> <mi>i</mi> </msub> <mo>=</mo> <mn>0</mn> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <mn>0</mn> <mo>&amp;le;</mo> <msub> <mi>&amp;alpha;</mi> <mi>i</mi> </msub> <mo>&amp;le;</mo> <mi>C</mi> </mrow> </mtd> </mtr> </mtable> </mfenced> <mo>,</mo> <mi>i</mi> <mo>=</mo> <mn>1</mn> <mo>,</mo> <mn>2</mn> <mo>,</mo> <mn>...</mn> <mo>,</mo> <mi>n</mi> <mo>;</mo> </mrow>
    Introduce Nonlinear MappingSample is mapped as a new data set:
    Then the above problem is converted into:
    Wherein, αiFor Lagrange multiplier.
  8. 8. a kind of Load Prediction In Power Systems method as claimed in claim 7, it is characterised in that carried out using method for normalizing Pretreatment operation, optimizes support vector machines parameter, is specially:
    <mrow> <msubsup> <mi>x</mi> <mrow> <mi>i</mi> <mi>j</mi> </mrow> <mo>&amp;prime;</mo> </msubsup> <mo>=</mo> <mfrac> <mrow> <msub> <mi>x</mi> <mi>j</mi> </msub> <mo>-</mo> <msub> <mi>x</mi> <mrow> <mi>j</mi> <mi>m</mi> <mi>i</mi> <mi>n</mi> </mrow> </msub> </mrow> <mrow> <msub> <mi>x</mi> <mrow> <mi>j</mi> <mi>m</mi> <mi>a</mi> <mi>x</mi> </mrow> </msub> <mo>-</mo> <msub> <mi>x</mi> <mrow> <mi>j</mi> <mi>m</mi> <mi>i</mi> <mi>n</mi> </mrow> </msub> </mrow> </mfrac> <mo>;</mo> </mrow>
    In formula:x'ijFor the normalized value of i-th of input quantity jth dimension, x'ij∈[0,1];Tieed up for i-th of input quantity jth original Value;xjminMinimum value in being tieed up for all input quantity jth;xjmaxMaximum in being tieed up for all input quantity jth;
    Set population scale Ppop, iterative algebra Ggen, using floating-point encoding, chromosome is encoded, wherein chromosome the 1st Position multiplication factor C, the 2nd is Radial basis kernel function parameter γ, and the 3rd is Emse, the 4th is 1-R, and the 5th is Rrank, i.e., it is every The layering of bar chromosome, the smaller then fitness of numerical value is bigger, and the 6th is Ddis, it is the foundation that degree of rarefication is judged when level is identical;
    Random generation initial population, with EmseIt is object function with R, carries out quick non-dominated ranking and selection, intersects, variation;
    When iterations reaches maximum iteration, optimized parameter C and γ are obtained.
  9. A kind of 9. Load Prediction In Power Systems system, it is characterised in that including:
    Data acquisition module, for obtaining electric system historical load data;
    Pretreatment module, carries out data at equal intervals to change and remove the processing of outlier;
    Trend processing module is gone, carrying out trend to initial data using gray theory is handled;
    Training optimization module, carries out spectrum analysis and determines Decomposition order, decomposed input data with variation mode decomposition, and will place The data of reason are reconstructed using the support vector cassification summation of improved NSGA- II optimizations;
    Prediction module, adds trend term to obtain prediction result according to the result after reconstruct;
    As a result determining module, for the predicted value of each load component to be overlapped, determines actual prediction result.
  10. 10. a kind of Load Prediction In Power Systems system as claimed in claim 9, it is characterised in that further include:
    Processing module, for after the electric system historical load data is obtained, to the electric system historical load number According to being normalized.
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