CN107563544A - A kind of gray model power predicating method based on day character vector optimization - Google Patents

A kind of gray model power predicating method based on day character vector optimization Download PDF

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CN107563544A
CN107563544A CN201710702936.2A CN201710702936A CN107563544A CN 107563544 A CN107563544 A CN 107563544A CN 201710702936 A CN201710702936 A CN 201710702936A CN 107563544 A CN107563544 A CN 107563544A
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mrow
day
month
power consumption
factor
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周琪
方超
仲春林
刘烨
熊政
季聪
李昆明
吕辉
邵俊
郑飞
徐明珠
张开振
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State Grid Corp of China SGCC
State Grid Jiangsu Electric Power Co Ltd
Jiangsu Fangtian Power Technology Co Ltd
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State Grid Corp of China SGCC
State Grid Jiangsu Electric Power Co Ltd
Jiangsu Fangtian Power Technology Co Ltd
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Abstract

The invention discloses a kind of gray model power predicating method based on day character vector optimization, method fills vacancies in the proper order model as major prognostic model using dimensions such as grey, and the daily power consumption data of nearest ten days are predicted using day character vector method, daily power consumption data are combined to obtain to the higher moon electricity demand forecasting result of the degree of accuracy of this month and next month with of that month prediction data.The power predicating method of the present invention, simple and easy, positive effect can be as the main method of branch trade power quantity predicting and the auxiliary revision method of power system power quantity predicting.

Description

A kind of gray model power predicating method based on day character vector optimization
Technical field
The present invention relates to a kind of gray model power predicating method based on day character vector optimization, belong to power marketing intelligence Can applied technical field.
Background technology
Electric Power Forecasting Based on Artificial, which is that power grid enterprises are scientific and reasonable, arranges every production and operating activities, ensures electricity net safety stable fortune Capable important foundation work, and government department formulate the important evidence of electric power relevant policies.Current economic structural adjustment is increasingly In-depth, Power Market is complicated and changeable, and new changing trend is presented to the demand of quantity of electricity in socio-economic development, particularly Power system reform deepens constantly, and market access degree expands day by day, and the increase of electricity market main body, it is pre- how to effectively improve electricity Surveying particularly middle or short term power quantity predicting accuracy turns into the common issue that each main market players faces.The middle or short term of month power consumption data Prediction has a variety of methods, and it is a kind of more effective method that wherein the dimension such as grey, which fills vacancies in the proper order prediction,.But use a certain prediction side Method can increase the uncertainty of prediction, and the combined prediction of a variety of methods can reduce asking for the prediction imperfect tape of single method Topic.
The content of the invention
The technical problems to be solved by the invention are the defects of overcoming prior art, there is provided one kind is excellent based on day character vector The gray model power predicating method of change, with day character vector method and waits dimension to fill vacancies in the proper order Grey Modelss, realizes moon power consumption Prediction.
In order to solve the above technical problems, the present invention provides a kind of gray model power quantity predicting based on day character vector optimization Scheme.It is then pre- using the history moon power consumption of 12 months first with following ten days daily power consumption of day character vector method prediction Sequencing row, the moon power consumption in this month is predicted according to Grey Modelss, utilizes the daily power consumption knot in ten days futures predicted Fruit adjusts the concept structure gray model that the dimension such as of that month electricity demand forecasting result, foundation is filled vacancies in the proper order, and then predicts the moon of next month Power consumption.
The technology used in the present invention means are as follows:
A kind of gray model power predicating method based on day character vector optimization, comprises the following steps:
1) following ten days daily power consumption data since being predicted day are calculated according to day character vector method;
2) of that month moon power consumption is predicted by gray model algorithm;
3) based on etc. dimension fill vacancies in the proper order with gray model algorithm prediction next month moon power consumption.
The computational methods of foregoing step 1) daily power consumption data are:
Meteorological factor 1-1) is calculated, calculates each history max. daily temperature, minimum temperature, mean temperature and humidity four respectively Sub- factor and the matching factor of prediction day, calculation formula are as follows:
Wherein, SjFor the matching factor of j-th of sub- factor, j=1,2,3,4, represent respectively maximum temperature, minimum temperature, Mean temperature and humidity, minjDay and the least absolute value of history day difference, max are predicted for j-th of sub- factorjFor j-th it is sub- because Element prediction day and the maximum value of history day difference, valuejThe absolute of day and history day difference is predicted for j-th of sub- factor Value, ρ is regulation coefficient;
Then weighted average is done to the matching factor of every sub- factor and obtains meteorological factor T:
Time factor D 1-2) is calculated, calculation formula is as follows:
D=β1 Mod (t, 72 int(t/7) (3)
Wherein, β1For day attenuation coefficient, β2For all attenuation coefficients, t is the date differences of prediction day and history day, and mod is to take Cofunction, int are bracket function;
The week factor W 1-3) is calculated, calculation formula is as follows:
W=1- | f (X1)-f(X0)| (4)
Wherein, f (X1) be history day week type, f (X0) for prediction day week type, X1Value be Monday, week Two, Wednesday, Thursday, Friday, Saturday, Sunday, f (X1) value be:F (Monday)=0.1, f (Tuesday)=f (Wednesday)=f (weeks Four)=0.2, f (Friday)=0.3, f (Saturday)=0.7, f (Sunday)=1;
Analogue forecasting method 1-4) is calculated, is integrated by the way of meteorological factor, time factor, week fac-tor Similarity factor, take analogue forecasting method maximum first 5 are used as similar day set, to the daily power consumption of similar day with similarity factor Daily power consumption after being weighted averagely as weight as prediction day.
Foregoing history day is to predict the date in 35 days a few days ago.
Foregoing ρ values are 0.5.
Foregoing β1Value is 0.96, β2Value is 0.94.
Foregoing step 2) prediction it is of that month the moon power consumption process it is as follows:
Smoothing factor 2-1) is calculated, is calculated monthly with the average moon power consumption divided by average year power consumption of the first three years monthly Smoothing factor;
2-2) utilize the history moon power consumption data structure forecasting sequence x of 12 months(0), with moon power consumption divided by smooth system Several modes are smoothed to forecasting sequence;
2-3) ought power consumption month in and month out by the prediction of grey GM (1,1) model formation;
2-4) prediction result be multiplied by this month smoothing factor reduced after ought electricity demand forecasting result month in and month out.
Foregoing step 3) prediction next month the moon power consumption process it is as follows:
3-1) the daily power consumption result in ten days futures predicted using step 1) is added up, with the electricity after cumulative and Replacement step 2-2) in of that month electricity demand forecasting result phase same date electricity, form new of that month electricity demand forecasting result;
3-2) according to etc. the concept filled vacancies in the proper order of dimension, by after adjustment ought be before electricity demand forecasting result adds smoothing processing month in and month out The forecasting sequence that power consumption forms month in and month out of history 12 simultaneously removes first data in former forecasting sequence, obtains new pre- sequencing Row;
3-3) new forecasting sequence is smoothed;
The moon power consumption of next month 3-4) is predicted by grey GM (1,1) model formation;
3-5) prediction result be multiplied by this month smoothing factor reduced after next month moon electricity demand forecasting result.
Foregoing grey GM (1,1) model formation is:
Wherein, k=1,2,3 ... 11 represent k-th month, x(0)For forecasting sequence,Represent kth+1 month Month electricity demand forecasting result, x(0)(1) moon power consumption of 1st month is represented, a is development coefficient, and u is grey actuating quantity, and a, u are equal For the differential equationCoefficient.
What the present invention was reached has the beneficial effect that:
The power predicating method of the present invention, simple and easy, positive effect can be as the main side of branch trade power quantity predicting The auxiliary revision method of method and power system power quantity predicting;This method improves the power quantity predicting degree of accuracy simultaneously, is carried for dispatching of power netwoks Supported for more accurate data, traffic department is shifted to an earlier date the method for operation for rationally, economically arranging future, so as to improve The performance driving economy of power network, higher profit is brought for Utilities Electric Co., more solid guarantee is provided for power grid operation.
Brief description of the drawings
Fig. 1 is the moon electricity demand forecasting overall framework figure of the present invention;
Fig. 2 is the moon electricity demand forecasting flow chart of the present invention;
Fig. 3 is the daily power consumption prediction flow chart of the present invention;
Fig. 4 is power quantity predicting curve in embodiment.
Embodiment
The invention will be further described below in conjunction with the accompanying drawings.Following examples are only used for clearly illustrating the present invention Technical scheme, and can not be limited the scope of the invention with this.
Electric Power Forecasting Based on Artificial, which is that power grid enterprises are scientific and reasonable, arranges every production and operating activities, ensures electricity net safety stable fortune Capable important foundation work, and government department formulate the important evidence of electric power relevant policies.Current economic structural adjustment is increasingly In-depth, Power Market is complicated and changeable, and new changing trend is presented to the demand of quantity of electricity in socio-economic development, particularly Power system reform deepens constantly, and market access degree expands day by day, and the increase of electricity market main body, it is pre- how to effectively improve electricity Surveying particularly middle or short term power quantity predicting accuracy turns into the common issue that each main market players faces.The present invention is by using the whole society The Study on Forecasting Method of electricity and trade classification power consumption, make every effort to provide new thinking and side for quantity of electricity analysis prediction work Method.
The gray model power predicating method based on day character vector optimization of the present invention includes daily power consumption prediction, the moon is used Power quantity predicting and prediction data amendment three parts content, pre- flow gauge are as shown in Figure 2.
Data Analysis Services procedure level relation during prediction including basic data layer as shown in figure 1, be used to collect Electric quantity data (the industry moon electricity, industry day electricity), meteorological data (maximum temperature, minimum temperature, mean temperature, humidity), section Holiday data;Data analysis layer is used to analyze branch trade electricity and meteorological, festivals or holidays relation;Construction of A Model layer is used to build Vertical day character vector model and gray model;As a result presentation layer is used to be shown industry-specific moon power quantity predicting result.
Daily power consumption prediction detailed process be:Analyze since predict day the meteorology in ten days futures, the time, week etc. because The similitude of element, following ten days daily power consumption data are calculated according to day character vector method.In definition prediction 35 days a few days ago Date is referred to as history day, predicts that the meteorological data of day passes through weather forecast data acquisition.Pre- flow gauge as shown in figure 3, including with Lower step:
1-1) calculates meteorological factor, calculates each history max. daily temperature, minimum temperature, mean temperature and humidity four respectively Individual sub- factor and the matching factor of prediction day, weighted average is done to the matching factor of every sub- factor and obtains meteorological factor Value.The matching factor calculation formula of every sub- factor is as follows:
Wherein, SjFor j-th of sub- factor matching factor (j=1,2,3,4, represent respectively maximum temperature, minimum temperature, Mean temperature and humidity);minjDay and the least absolute value of history day difference are predicted for j-th of sub- factor;maxjFor j-th of son Factor predicts day and the maximum value of history day difference;valuejThe exhausted of day and history day difference is predicted for j-th of sub- factor To value;ρ is regulation coefficient, typically takes 0.5.Obtain all SjAfter value, do weighted average and obtain meteorological factor T:
A meteorological factor is daily obtained for each history.
1-2) calculates time factor, according to the principle of " near big and far smaller ", the value of time factor is calculated using formula, is calculated Formula is as follows:
D=β1 Mod (t, 7)β2 int(t/7) (3)
Wherein, β1For day attenuation coefficient, 0.96 is taken in of the invention;β2For all attenuation coefficients, 0.94 is taken in of the invention;T is pre- Survey the date differences of day and history day;Mod is remainder function;Int is bracket function.
1-3) calculates the week factor, calculates the week factor according to history day and the difference of prediction week day type, calculates public Formula is as follows:
W=1- | f (X1)-f(X0)| (4)
Wherein, f (X1) be history day week type, f (X0) for prediction day week type, X1Value be Monday, week Two, Wednesday, Thursday, Friday, Saturday, on Sunday, mapping ruler is set to according to actual conditions:F (Monday)=0.1, f (Tuesday)= F (Wednesday)=f (Thursday)=0.2, f (Friday)=0.3, f (Saturday)=0.7, f (Sunday)=1.
1-4) calculates analogue forecasting method, is obtained by the way of meteorological factor, time factor, week fac-tor comprehensive Similarity factor is closed, take analogue forecasting method maximum first 5 are used as similar day set, to the daily power consumption of similar day with similar system Count the daily power consumption as prediction day after being weighted averagely as weight.
The detailed process of month electricity demand forecasting is:The moon power consumption in this month is calculated by gray model algorithm, with reference to not The daily power consumption data come ten days draw it is new ought power consumption data month in and month out, according to etc. dimension fill vacancies in the proper order the concept of gray model, use New moon power consumption data calculate the moon power consumption data of next month, finally draw a moon electricity demand forecasting result.Including following step Suddenly:
2-1) calculates smoothing factor, is calculated monthly with the average moon power consumption divided by average year power consumption of the first three years monthly Smoothing factor.
2-2) predictions ought power consumption month in and month out, utilize the history moon power consumption data structure forecasting sequence x of 12 months(0), use The mode of month power consumption divided by smoothing factor handles forecasting sequence.Pass through x(0)Grey GM (1,1) model formation prediction ought be month in and month out Power consumption, prediction result be multiplied by this month smoothing factor reduced after cross ought electricity demand forecasting result month in and month out.Gray model Formula is as follows:
Wherein, k=1,2,3 ... 11 represent k-th month;x(0)For forecasting sequence;A is development coefficient;U acts on for grey Amount;;A, u is the differential equationCoefficient.
2-3) predicts next power consumption month in and month out.The daily power consumption result in the ten days futures predicted using step 1) is carried out Cumulative, with the electricity and replacement step 2-2 after cumulative) in of that month electricity demand forecasting result phase same date electricity, formed new Of that month electricity demand forecasting result, according to etc. the concept filled vacancies in the proper order of dimension, the of that month electricity demand forecasting result after adjustment is added smooth The history 12 of the before processing forecasting sequence that power consumption forms month in and month out simultaneously removes first data in former forecasting sequence, then, New forecasting sequence is handled (moon power consumption divided by smoothing factor) with smoothing factor, and it is pre- to resettle grey GM (1,1) model The moon power consumption of next month is surveyed, the moon power consumption of next month to predicting is smoothed to obtain final prediction knot again Fruit.
By taking certain province as an example, industry-specific moon electricity demand forecasting in 2016 is carried out, prediction steps are as follows:
A, the moon power consumption of this month and next month are predicted for timing node with No. 1 of every month.No. 1 to No. 10 is calculated respectively Day prediction electricity.The predicted value of the maximum temperature for predicting day, minimum temperature, mean temperature and humidity is obtained first, in history day The middle meteorological factor coefficient that history day is calculated according to formula (1).The time factor of history day is calculated by formula (3), then is passed through Formula (4) calculates the week factor of history day.By the meteorological factor of the history day calculated, time factor and week factor phase Multiply, calculate the similarity factor of history day, the history day of 5 before similarity factor is taken as similar day set, to the day of similar day Power consumption is used as the daily power consumption of prediction day after being weighted using similarity factor as weight averagely.
B, the prediction daily power consumption of No. 1 to No. 10 is obtained by previous step, then daily power consumption summed, obtain future 10 The sum of its daily power consumption.
C, it is calculating sample to take certain provincial and autonomous regional branches industry 2013, the moon power consumption of 2014,2,015 3, is calculated respectively industry-specific The average moon power consumption and average year power consumption of every month, then obtained with average moon power consumption divided by average year power consumption each Month industry-specific smoothing factor.
D, using predicted month as timing node, the moon power consumption for taking first 12 months is forecasting sequence, such as predicts in January, 2016 The moon power consumption then forecasting sequence be in January, 2015 to December moon power consumption.The moon power consumption number in forecasting sequence is used first According to divided by industry-specific smoothing factor every month, then according to gray model formula (5) predict this month moon power consumption, finally The smoothing factor that this month the sector is multiplied by with prediction result obtains final of that month moon electricity demand forecasting result, will predict early stage 10 days futures daily power consumption sum replace the electricity that correspond to date in of that month electricity demand forecasting result and, form new of that month use Power quantity predicting result.
E, last data in forecasting sequence are replaced with of that month electricity demand forecasting result, rejects the in forecasting sequence One data, thus form a new forecasting sequence being made up of 12 data.Forecasting sequence is carried out in the same fashion Smoothing processing, the moon power consumption result of next month is predicted by formula (5), then is obtained after being smoothed to prediction result Final secondary electricity demand forecasting value month in and month out.
Fig. 4 is certain whole society of province moon electricity demand forecasting curve in 2016 and actual moon power consumption curve, it can be seen that prediction As a result it is closer to actual result.
Described above is only the preferred embodiment of the present invention, it is noted that for the ordinary skill people of the art For member, without departing from the technical principles of the invention, some improvement and deformation can also be made, these are improved and deformation Also it should be regarded as protection scope of the present invention.

Claims (8)

1. a kind of gray model power predicating method based on day character vector optimization, it is characterised in that comprise the following steps:
1) following ten days daily power consumption data since being predicted day are calculated according to day character vector method;
2) of that month moon power consumption is predicted by gray model algorithm;
3) based on etc. dimension fill vacancies in the proper order with gray model algorithm prediction next month moon power consumption.
2. a kind of gray model power predicating method based on day character vector optimization according to claim 1, its feature It is, the computational methods of step 1) the daily power consumption data are:
1-1) calculate meteorological factor, calculate respectively each history max. daily temperature, minimum temperature, mean temperature and humidity four it is sub- because Element and the matching factor of prediction day, calculation formula are as follows:
<mrow> <msub> <mi>s</mi> <mi>j</mi> </msub> <mo>=</mo> <mfrac> <mrow> <msub> <mi>min</mi> <mi>j</mi> </msub> <mo>+</mo> <msub> <mi>&amp;rho;max</mi> <mi>j</mi> </msub> </mrow> <mrow> <msub> <mi>value</mi> <mi>j</mi> </msub> <mo>+</mo> <msub> <mi>&amp;rho;max</mi> <mi>j</mi> </msub> </mrow> </mfrac> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>1</mn> <mo>)</mo> </mrow> </mrow>
Wherein, SjFor the matching factor of j-th of sub- factor, j=1,2,3,4, maximum temperature, minimum temperature, average temperature are represented respectively Degree and humidity, minjDay and the least absolute value of history day difference, max are predicted for j-th of sub- factorjFor j-th of sub- factor prediction Day and the maximum value of history day difference, valuejDay and the absolute value of history day difference are predicted for j-th of sub- factor, ρ is Regulation coefficient;
Then weighted average is done to the matching factor of every sub- factor and obtains meteorological factor T:
<mrow> <mi>T</mi> <mo>=</mo> <mfrac> <mn>1</mn> <mn>4</mn> </mfrac> <mrow> <mo>(</mo> <msub> <mi>S</mi> <mn>1</mn> </msub> <mo>+</mo> <msub> <mi>S</mi> <mn>2</mn> </msub> <mo>+</mo> <msub> <mi>S</mi> <mn>3</mn> </msub> <mo>+</mo> <msub> <mi>S</mi> <mn>4</mn> </msub> <mo>)</mo> </mrow> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>2</mn> <mo>)</mo> </mrow> </mrow>
Time factor D 1-2) is calculated, calculation formula is as follows:
<mrow> <mi>D</mi> <mo>=</mo> <msup> <msub> <mi>&amp;beta;</mi> <mn>1</mn> </msub> <mrow> <mi>mod</mi> <mrow> <mo>(</mo> <mi>t</mi> <mo>,</mo> <mn>7</mn> <mo>)</mo> </mrow> </mrow> </msup> <msup> <msub> <mi>&amp;beta;</mi> <mn>2</mn> </msub> <mrow> <mi>int</mi> <mrow> <mo>(</mo> <mi>t</mi> <mo>/</mo> <mn>7</mn> <mo>)</mo> </mrow> </mrow> </msup> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>3</mn> <mo>)</mo> </mrow> </mrow>
Wherein, β1For day attenuation coefficient, β2For all attenuation coefficients, t is the date differences of prediction day and history day, and mod is remainder letter Number, int is bracket function;
The week factor W 1-3) is calculated, calculation formula is as follows:
W=1- | f (X1)-f(X0)| (4)
Wherein, f (X1) be history day week type, f (X0) for prediction day week type, X1Value be Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, Sunday, f (X1) value be:F (Monday)=0.1, f (Tuesday)=f (Wednesday)=f (Thursday) =0.2, f (Friday)=0.3, f (Saturday)=0.7, f (Sunday)=1;1-4) calculate analogue forecasting method, using meteorological factor, Time factor, the mode of week fac-tor obtain analogue forecasting method, take maximum preceding 5 conducts of analogue forecasting method similar Day set, the daily power consumption of similar day is weighted using similarity factor as weight it is average after be used as the day electricity consumption for predicting day Amount.
3. a kind of gray model power predicating method based on day character vector optimization according to claim 2, its feature It is, the history day is to predict the date in 35 days a few days ago.
4. a kind of gray model power predicating method based on day character vector optimization according to claim 2, its feature It is, the ρ values are 0.5.
5. a kind of gray model power predicating method based on day character vector optimization according to claim 2, its feature It is, the β1Value is 0.96, β2Value is 0.94.
6. a kind of gray model power predicating method based on day character vector optimization according to claim 1, its feature Be, the step 2) prediction it is of that month the moon power consumption process it is as follows:
Smoothing factor 2-1) is calculated, monthly smooth is calculated with the first three years average moon power consumption divided by average year power consumption monthly Coefficient;
2-2) utilize the history moon power consumption data structure forecasting sequence x of 12 months(0), with moon power consumption divided by smoothing factor Mode is smoothed to forecasting sequence;
2-3) ought power consumption month in and month out by the prediction of grey GM (1,1) model formation;
2-4) prediction result be multiplied by this month smoothing factor reduced after ought electricity demand forecasting result month in and month out.
7. a kind of gray model power predicating method based on day character vector optimization according to claim 6, its feature Be, the step 3) prediction next month the moon power consumption process it is as follows:
3-1) the daily power consumption result in ten days futures predicted using step 1) is added up, with the electricity after cumulative and replacement Step 2-2) in of that month electricity demand forecasting result phase same date electricity, form new of that month electricity demand forecasting result;
3-2) according to etc. the concept filled vacancies in the proper order of dimension, by after adjustment ought electricity demand forecasting result is added before smoothing processing month in and month out history 12 forecasting sequences that power consumption forms month in and month out simultaneously remove first data in former forecasting sequence, obtain new forecasting sequence;
3-3) new forecasting sequence is smoothed;
The moon power consumption of next month 3-4) is predicted by grey GM (1,1) model formation;
3-5) prediction result be multiplied by this month smoothing factor reduced after next month moon electricity demand forecasting result.
8. a kind of gray model power predicating method based on day character vector optimization according to claim 6 or 7, it is special Sign is that grey GM (1, the 1) model formation is:
<mrow> <msup> <mover> <mi>x</mi> <mo>^</mo> </mover> <mrow> <mo>(</mo> <mn>0</mn> <mo>)</mo> </mrow> </msup> <mrow> <mo>(</mo> <mi>k</mi> <mo>+</mo> <mn>1</mn> <mo>)</mo> </mrow> <mo>=</mo> <mrow> <mo>(</mo> <msup> <mi>e</mi> <mrow> <mo>-</mo> <mi>a</mi> </mrow> </msup> <mo>-</mo> <mn>1</mn> <mo>)</mo> </mrow> <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>k</mi> </mrow> </msup> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>5</mn> <mo>)</mo> </mrow> </mrow>
Wherein, k=1,2,3 ... 11 represent k-th month, x(0)For forecasting sequence,Represent that the kth moon of+1 month is used Power quantity predicting result, x(0)(1) moon power consumption of 1st month is represented, a is development coefficient, and u is grey actuating quantity, and a, u are micro- Divide equationCoefficient.
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CN113191574A (en) * 2021-05-28 2021-07-30 上海申瑞继保电气有限公司 Daily electricity prediction method for single product production line
CN116937752A (en) * 2023-09-14 2023-10-24 广州德姆达光电科技有限公司 Charging and discharging control method for outdoor mobile energy storage power supply
CN116937752B (en) * 2023-09-14 2023-12-26 广州德姆达光电科技有限公司 Charging and discharging control method for outdoor mobile energy storage power supply

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