CN105116268B - A kind of analysis method that partial pressure electricity sales amount influences line loss per unit with partial pressure power supply volume - Google Patents
A kind of analysis method that partial pressure electricity sales amount influences line loss per unit with partial pressure power supply volume Download PDFInfo
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Abstract
The invention discloses the analysis methods that a kind of partial pressure electricity sales amount and partial pressure power supply volume influence line loss per unit, are related to power grid control technical field.The following steps are included: 1) using line loss per unit as dependent variable, and classify to the factor for influencing line loss per unit, in the factor for influencing line loss per unit, choose independent variable；2) selection and processing are carried out to the historical data of the independent variable of selection；3) line loss per unit incidence matrix is established；4) Key Influential Factors of line loss per unit are determined by the characteristic equation of incidence matrix；5) according to the variation of Key Influential Factors, by the calculating of line loss per unit regression equation and sensitivity analysis equation, influence of the quantitative analysis to line loss per unit obtains the influence result of Key Influential Factors.Electricity sales amount will be divided and divide influence of the power supply volume to line loss per unit and quantified, so as to determine that influence factor influences the electricity of line loss per unit, so as to carry out adaptable amendment to electrical network parameter, line loss per unit is reduced, improve economic benefit.
Description
Technical field
The present invention relates to power grid control technical fields.
Background technique
With the upgrading of power grid, user power utilization structure is changed, the traditional industry user power utilization of high voltage supply
The electricity of specific gravity decline, the mesolow power supply based on high-tech, the tertiary industry and residential electricity consumption gradually rises.Meanwhile with
Distribution of countries formula power supply power generation subsidy policy is put into effect some areas in succession at home, and small power supply access power grid has irresistible
Trend, different from original large-scale power supply power plant, the generating capacity of small power supply is relatively low, and generally grid integration 35kV and with
Lower voltage class.
There is indivisible relationship for sale of electricity structure and line loss, variation will influence line loss per unit of powering, especially exist
Under the new model that high pressure electricity sales amount proportion declines year by year at present, low pressure electricity sales amount proportion rises year by year, it is bound to cause
The rising for line loss per unit of powering.
Current research is concentrated mainly on influence of the different voltages grade electricity sales amount variation to line loss per unit, without considering
Divide electricity sales amount, partial pressure power supply volume constitutes the influence of weight.
Summary of the invention
Technical problem to be solved by the invention is to provide a kind of partial pressure electricity sales amounts and partial pressure power supply volume to influence on line loss per unit
Analysis method, can will divide electricity sales amount and divide influence of the power supply volume to line loss per unit and quantify, so as to determine
Influence factor influences the electricity of line loss per unit, so as to carry out adaptable amendment to electrical network parameter, reduces line loss per unit, improves
Economic benefit.
In order to solve the above technical problems, the technical solution used in the present invention is: a kind of partial pressure electricity sales amount and partial pressure power supply
Measure the analysis method influenced on line loss per unit, comprising the following steps:
1) using line loss per unit as dependent variable, and classify to the factor for influencing line loss per unit, in the factor for influencing line loss per unit,
Choose independent variable；
2) selection and processing are carried out to the historical data of the independent variable of selection；
3) line loss per unit incidence matrix is established；
4) Key Influential Factors of line loss per unit are determined by the characteristic equation of incidence matrix；
5) according to the variation of Key Influential Factors, pass through the calculating of line loss per unit regression equation and sensitivity analysis equation, amount
Change influence of the analysis to line loss per unit, obtains the influence result of Key Influential Factors.
Preferably, the independent variable in the step 1) is chosen for partial pressure electricity sales amount and divides power supply volume.
Preferably, p index is chosen from the historical data in the step 2), each index forms n sample value, the
The n sample value that j index is formed is xj=[x1j,x2j,…,xnj]T, the sample matrix of p index one n × p rank of composition
Conversion is standardized to sample matrix, obtains normalized matrix Z, the element z in normalized matrix ZijCalculating
Formula are as follows:
Wherein, n representative sample value number, p represent index number,
Wherein,For the sample average of j-th of index,For the sample variance of j-th of index.
Preferably, the line loss per unit incidence matrix in the step 3) are as follows:
Preferably, the characteristic equation in the step 4) are as follows:
|R-λIp|=0
Wherein, λ is the variance of principal component U；The characteristic equation for solving sample correlation matrix R, is obtained p characteristic root, according to
Formula (4) determines the maximum preceding m principal component of λ value, so that this m principal component role is not less than in all indexs
85%；
For each characteristic root λj, j=1,2 ..., m, solving equations Rb=λjB obtains orthonormalization feature vectorTarget variable after standardization, which is converted to principal component, can be obtained formula:
Wherein, Zi=[zi1,zi2,zi3,...,zip], uijIt is the i-th row jth in matrix U
The element of column.
Preferably, the line loss per unit regression equation in the step 5) are as follows:
Y=α0+β1U1+β2U2......+βmUm
Wherein, in the equation each principal component factor beta indicate principal component U and line loss per unit related coefficient；
By principal component U1,U2,...,UmIt is expressed as the linear equation of Key Influential Factors respectively, substitutes into line loss per unit recurrence side
Journey obtains the dependent equation of Key Influential Factors and line loss per unit: Y=f (x)；Wherein, Y indicate line loss per unit, x be crucial effect because
Son.
The beneficial effects of adopting the technical scheme are that the present invention is matched by establishing line loss per unit incidence matrix
Zygonema loss rate regression equation and sensitivity analysis equation, determine the impact factor of line loss per unit, and finally determine the amount to line loss per unit
Changing influences, and obtains the influence of Key Influential Factors as a result, reducing line loss so as to carry out adaptable amendment to electrical network parameter
Rate improves economic benefit；The present invention can also determine that each influence factor influences the electricity of line loss per unit, thus to reduce line
Damage provides solid reliably foundation.
Detailed description of the invention
Fig. 1 is flow chart of the invention.
Specific embodiment
Following will be combined with the drawings in the embodiments of the present invention, and technical solution in the embodiment of the present invention carries out clear, complete
Site preparation description, it is clear that described embodiments are only a part of the embodiments of the present invention, instead of all the embodiments.It is based on
Embodiment in the present invention, it is obtained by those of ordinary skill in the art without making creative efforts every other
Embodiment shall fall within the protection scope of the present invention.
As shown in Figure 1, the present invention is a kind of analysis method that partial pressure electricity sales amount influences line loss per unit with partial pressure power supply volume, packet
Include following steps:
1) using line loss per unit as dependent variable, and classify to the factor for influencing line loss per unit, in the factor for influencing line loss per unit,
Independent variable is chosen, partial pressure electricity sales amount is chosen for and divides power supply volume as independent variable；
2) selection and processing are carried out to the historical data of the independent variable of selection, p index is chosen from historical data, each
Index forms n sample value, and the n sample value that j-th of index is formed is xj=[x1j,x2j,…,xnj]T, p index composition one
The sample matrix of a n × p rank
Conversion is standardized to sample matrix, obtains normalized matrix Z, the element z in normalized matrix ZijCalculating
Formula are as follows:
Wherein, n representative sample value number, p represent index number,
Wherein,For the sample average of j-th of index,For the sample variance of j-th of index；
3) line loss per unit incidence matrix, line loss per unit incidence matrix are established are as follows:
4) Key Influential Factors of line loss per unit, characteristic equation are determined by the characteristic equation of incidence matrix are as follows:
|R-λIp|=0
Wherein, λ is the variance of principal component U；The characteristic equation for solving sample correlation matrix R, is obtained p characteristic root, according to
Formula (4) determines the maximum preceding m principal component of λ value, so that this m principal component role is not less than in all indexs
85%；
For each characteristic root λj, j=1,2 ..., m, solving equations Rb=λjB obtains orthonormalization feature vectorTarget variable after standardization, which is converted to principal component, can be obtained formula:
Wherein, Zi=[zi1,zi2,zi3,...,zip], uijIt is the element that the i-th row jth arranges in matrix U；
5) according to the variation of Key Influential Factors, pass through the calculating of line loss per unit regression equation and sensitivity analysis equation, amount
Change influence of the analysis to line loss per unit, obtain the influence of Key Influential Factors as a result, wherein line loss per unit regression equation are as follows:
Y=α0+β1U1+β2U2......+βmUm
Wherein, in the equation each principal component factor beta indicate principal component U and line loss per unit related coefficient；
By principal component U1, U2... UmIt is expressed as the linear equation of Key Influential Factors respectively, substitutes into line loss per unit recurrence side
Journey obtains the dependent equation of Key Influential Factors and line loss per unit: Y=f (x)；Wherein, Y indicate line loss per unit, x be crucial effect because
Son.
Embodiment 1:
Choosing prediction unit is research object, collects 5 fraction of the year month data in the past, j-th of index for the index of selection
60 sample values formed are xj=[x1j,x2j,…,x60,j]T, the sample matrix of 60 × p is constructed, standard is carried out to sample matrix
Change conversion, obtain normalized matrix Z, calculation method is formula:
Wherein, p represents index number, value 27, n representative sample value number, value 60,For the sample of j-th of index
Mean value,For the sample variance of j-th of index, calculation method is formula:
Establish line loss per unit incidence matrix, formula (3)
The characteristic equation of R is | R- λ Ip|=0, characteristic root λ are the variances of principal component U, its size reflects each master
Ingredient role size in description line loss per unit；The characteristic equation for solving sample correlation matrix R, is obtained p characteristic root, presses
The maximum preceding m principal component of λ value is determined according to formula (4), so that this m principal component role is not less than in all indexs
85%；
For each characteristic root λj, j=1,2 ..., m, solving equations Rb=λjB obtains orthonormalization feature vectorTarget variable after standardization, which is converted to principal component, can be obtained formula:
Wherein, Zi=[zi1,zi2,zi3,...,zip], uijIt is the element that the i-th row jth arranges in matrix U；
Establish line loss per unit regression equation:
With principal component U1, U2... UmFor independent variable, using line loss per unit as dependent variable, with the past 5 years historical datas into
Row linear regression obtains following regression equation:
Y=α0+β1U1+β2U2......+βmUm
Wherein, in the equation each principal component factor beta indicate principal component U and line loss per unit related coefficient, i.e., when it is main at
When dividing variation 1%, line loss per unit changes β %；
Establish sensitivity analysis equation:
By principal component U1, U2... UmIt is expressed as the linear equation of Key Influential Factors respectively, line loss per unit more than substitution is returned
Return equation, each independent variable is denormalized, obtains the dependent equation of Key Influential Factors and line loss per unit: Y=f (x)；Wherein, Y
Indicate line loss per unit, x is Key Influential Factors.
Key Influential Factors quantitative analysis:
Changed according to Key Influential Factors, passes through the sensitivity analysis equation of line loss per unit, shadow of the quantitative analysis to line loss per unit
It rings.
The present invention cooperates line loss per unit regression equation and sensitivity analysis equation, determines by establishing line loss per unit incidence matrix
The impact factor of line loss per unit, and finally determine the quantization influence to line loss per unit.The present invention can also determine each influence factor pair
The electricity of line loss per unit influences, to provide solid reliably foundation to reduce line loss.
Dependent variable of the invention is determined as line loss per unit, and independent variable determination is partial pressure electricity sales amount, partial pressure power supply volume, remaining is certainly
Variable is now concluded major class and is exemplified below:
1) variation of electric network composition and the method for operation
The influence of electric network composition and the method for operation to line loss per unit belongs to controllable factor, and comparatively it is more stable,
Changes of operating modes caused by including being shifted because of maintenance, construction, troubleshooting load.
2) electricity in Regulation and marketing metering is distorted
True electricity is the important evidence for guaranteeing power grid enterprises' electricity charge and recycling in full amount, and it or correct progress line loss
The basis of analysis.Therefore, line loss per unit fluctuate in electricity distortion influence and the analysis and Control being distorted to electricity are Controlling line loss
Emphasis.
The factor of influence electricity authenticity generally has following: electric energy metering device metering distortion, meter-reading check and number
According to transmitting distortion, temporary electricity management is lack of standardization, stealing, electricity use based on human relationships, artificially adjustment and metering device are not perfect.
3) electric energy meter makes a copy of the not same period
With the superior and the subordinate's electric energy meter for purchasing, selling relationship make a copy of the not same period be cause line loss per unit fluctuate multiple reason.It is main
It is short to show themselves in that upper level power supply Source of Gateway Meter makes a copy of the time used, it is long and rise, only arrangement of time that next stage electric energy meter makes a copy of the time
It is not scientific；Next stage power supply enterprise is to deliver higher level's electricity charge reason, is ahead of higher level power supply enterprise and determines meter reading example day；It causes
Purchase, sell the other factors of both sides' meter reading example daily variation (such as meter reading example day is in legal long holidays)；Meter reading system, mark without science
Standard, meter reading personnel's quality are poor；Other uncertain factors.
4) variation of load and load configuration
In in the period of certain, network structure and the method for operation are metastable, the at this moment only variations of power load
Have an impact to line loss per unit.Therefore, the corresponding relationship for finding power load and line loss per unit has Controlling line loss work especially heavy
The meaning wanted.In addition, rate of load condensate variation, reactive power flow change, three-phase load unbalance degree has an impact to Low-voltage Line Loss.
5) variation of power sales and natural climate is purchased
The variation of purchase power sales is mainly shown as: power purchase (local water, fire, in net, net it is outer) ratio variation；Sale point
Class electricity structure change；Big customer's production and operation variation；Lossless family variations at different levels.And the variation in season, weather can cause client
With the variation of Electrical change and electricity structure.
Claims (1)
1. the analysis method that a kind of partial pressure electricity sales amount and partial pressure power supply volume influence line loss per unit, it is characterised in that: including following step
It is rapid:
1) using line loss per unit as dependent variable, and classify to the factor for influencing line loss per unit, in the factor for influencing line loss per unit, choose
Independent variable；
2) selection and processing are carried out to the historical data of the independent variable of selection；
3) line loss per unit incidence matrix is established；
4) Key Influential Factors of line loss per unit are determined by the characteristic equation of incidence matrix；
5) according to the variation of Key Influential Factors, pass through the calculating of line loss per unit regression equation and sensitivity analysis equation, quantization point
The influence to line loss per unit is analysed, obtains the influence result of Key Influential Factors；
Independent variable in the step 1) is chosen for partial pressure electricity sales amount and divides power supply volume；
P index is chosen from the historical data in the step 2), each index forms n sample value, the n that j-th of index is formed
A sample value is xj=[x1j,x2j,…,xnj]T, the sample matrix of p index one n × p rank of composition
Conversion is standardized to sample matrix, obtains normalized matrix Z, the element z in normalized matrix ZijCalculation formula
Are as follows:
Wherein, n representative sample value number, p represent index number,
Wherein,For the sample average of j-th of index,For the sample variance of j-th of index；
Line loss per unit incidence matrix in the step 3) are as follows:
Characteristic equation in the step 4) are as follows:
|R-λIp|=0
Wherein, λ is the variance of principal component U；The characteristic equation for solving sample correlation matrix R, is obtained p characteristic root, according to formula
(4) the maximum preceding m principal component of λ value is determined, so that this m principal component role is not less than 85% in all indexs；
For each characteristic root λj, j=1,2 ..., m, solving equations Rb=λjB obtains orthonormalization feature vectorIt will mark
Target variable after standardization, which is converted to principal component, can be obtained formula:
Wherein, Zi=[zi1,zi2,zi3,...,zip], uijIt is the element that the i-th row jth arranges in matrix U；
Line loss per unit regression equation in the step 5) are as follows:
Y=α0+β1U1+β2U2......+βmUm
Wherein, in the equation each principal component factor beta indicate principal component U and line loss per unit related coefficient；
By principal component U1,U2,...,UmIt is expressed as the linear equation of Key Influential Factors respectively, substitutes into line loss per unit regression equation, obtains
The dependent equation of Key Influential Factors and line loss per unit out: Y=f (x)；Wherein, Y indicates line loss per unit, and x is Key Influential Factors.
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| CN108805433A (en) * | 2018-05-30 | 2018-11-13 | 国网上海市电力公司 | A kind of taiwan area line loss fine-grained management system |
| CN111339167A (en) * | 2020-03-02 | 2020-06-26 | 国网江苏省电力有限公司扬州供电分公司 | Method for analyzing influence factors of transformer area line loss rate based on K-means and principal component linear regression |
Citations (2)
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| CN101546912A (en) * | 2009-04-28 | 2009-09-30 | 江苏省电力试验研究院有限公司 | Same power network line loss classifying and assessing method |
| CN104699959A (en) * | 2015-02-13 | 2015-06-10 | 国家电网公司 | Similar line-loss division method based on K-MEANS algorithm |
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| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN101546912A (en) * | 2009-04-28 | 2009-09-30 | 江苏省电力试验研究院有限公司 | Same power network line loss classifying and assessing method |
| CN104699959A (en) * | 2015-02-13 | 2015-06-10 | 国家电网公司 | Similar line-loss division method based on K-MEANS algorithm |
Non-Patent Citations (3)
| Title |
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| 售电量变化对线损率的影响;任谦;《华东电力》;20001231(第8期);26-28 * |
| 导致电力网线损率波动的因素及其控制;赵勇等;《中国高等学校电力系统及其自动化专业第二十四届学术年会论文集》;20081231;2399-2402 * |
| 线损率波动与影响因素的数学建模及求解;冯垚等;《电力系统及其自动化学报》;20101031;第22卷(第5期);正文第1-3节 * |
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