CN105589834B - A kind of method that energy consumption of unit product is determined based on the energy consumption per unit of output value - Google Patents
A kind of method that energy consumption of unit product is determined based on the energy consumption per unit of output value Download PDFInfo
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- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F17/00—Digital computing or data processing equipment or methods, specially adapted for specific functions
- G06F17/10—Complex mathematical operations
- G06F17/16—Matrix or vector computation, e.g. matrix-matrix or matrix-vector multiplication, matrix factorization
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- G—PHYSICS
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- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F17/00—Digital computing or data processing equipment or methods, specially adapted for specific functions
- G06F17/10—Complex mathematical operations
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Abstract
The embodiment of the invention discloses a kind of method that energy consumption of unit product is determined based on the energy consumption per unit of output value, including:According to the specification kind number of product, the sample point of corresponding number in a short time is chosen;According to the selling price of various products and the qualified Production rate gross output value of various products;Total energy consumption is calculated according to the energy consumption per unit of output value and the gross output value;According to energy balance relations, governing equation is listed;The qualified yield of total energy consumption corresponding to each sample point and various products is substituted into the governing equation, obtains equation group;The solution space of analysis equation group, calculates the energy consumption of unit product of various products.It is provided in an embodiment of the present invention a kind of to determine that the method for energy consumption of unit product utilizes energy balance relations based on the energy consumption per unit of output value, establish the relational expression of the energy consumption per unit of output value and energy consumption of unit product, pass through reasonable assumption, take the sample point of corresponding number in a short time and list equation group, and solution space is analyzed, solve the energy consumption of unit product for obtaining various products.
Description
Technical field
The present invention relates to energy consumption measurement technical field, and unit product is determined based on the energy consumption per unit of output value more particularly to one kind
The method of energy consumption.
Background technology
Comprehensive energy consumption is the various energy quantities of goods produced of energy unit actual consumption within the statistical report phase, by defined calculating
Method and unit convert respectively after summation.The turn out a produce index of efficiency level of the enterprise of evaluation at present mainly has unit production
It is worth energy consumption and energy consumption of unit product.
The energy consumption per unit of output value is to use industrial the ratio between comprehensive energy consumption and total industrial output value, is examined from the angle of economic value
Consider the index of enterprise's efficiency level, although can be used for evaluating the efficiency level that enterprise turns out a produce to a certain extent,
It is but single even if enterprise's efficiency level is constant since product price changes, each product accounts for the ratio of total output and the reason such as changes
Fluctuation also occurs in position output value energy consumption.
Energy consumption of unit product is turn out a produce the ratio between comprehensive energy consumption and the corresponding qualified products yield of actual consumption.
According to above-mentioned definition, energy consumption of unit product directly reflects that the efficiency that enterprise turns out a produce is horizontal, and from other
The influence of nonproductive factors.But when the two or more product of enterprise's production, and during metering system imperfection, cause to produce certain
The energy consumption of unit product of product is difficult to calculate.
In conclusion the energy consumption per unit of output value is easy to calculate, but the efficiency for being difficult to objectively respond enterprise is horizontal, unit product energy
Although the efficiency that consumption can objectively respond enterprise is horizontal, often it is difficult to calculate.Therefore, turn out a produce to evaluate enterprise
Efficiency it is horizontal, be badly in need of a kind of method that energy consumption of unit product is determined based on the energy consumption per unit of output value.
The content of the invention
A kind of method that energy consumption of unit product is determined based on the energy consumption per unit of output value is provided in the embodiment of the present invention, to solve
The problem of energy consumption of unit product of multiple product is not easy to determine in the prior art.
In order to solve the above-mentioned technical problem, the embodiment of the invention discloses following technical solution:
A kind of method that energy consumption of unit product is determined based on the energy consumption per unit of output value, including:
According to the specification kind number of product, the sample point of corresponding number in a short time is chosen, and counts the unit of each sample point
The qualified yield of output value energy consumption, the selling price of various products and various products;
According to the selling price of various products and the qualified Production rate gross output value of various products;
Total energy consumption is calculated according to the energy consumption per unit of output value and the gross output value;
According to energy balance relations, list total energy consumption, various products qualified yield and various products unit product energy
The governing equation of consumption;
The qualified yield of total energy consumption corresponding to each sample point and various products is substituted into the governing equation, is obtained
Equation group, wherein the quantity of equation is identical with the quantity of the sample point in the equation group;
The solution space of analysis equation group, calculates the energy consumption of unit product of various products.
Preferably, matrix expression is established to the equation group:AX=b, wherein A represent the qualified yield of various products, X
For solution vector, the energy consumption of unit product of various products is represented, b represents total energy consumption;
If the specification kind number of the product is the solution space of n, then the analysis equation group, the unit production of various products is calculated
Product energy consumption, specifically includes:
Whether the order k of the coefficient matrix of decisive equation group is equal to n;
If k is equal to n, the solution of equations vector X is calculated, obtains the energy consumption of unit product of various products;
If k is not equal to n, n-k sample point in equation group is rejected, takes n-k new sample points in a short time again;
The qualified yield of total energy consumption corresponding to new sample point and various products is substituted into the governing equation to obtain
N-k new equations;
By equations new the n-k and the equation group for rejecting n-k sample point and and form new equation group;
Above-mentioned steps are returned to, whether the order k of the coefficient matrix of decisive equation group is equal to n.
Preferably, n-k sample point in equation group is rejected, is specifically included:
Remaining equation has linear dependence in equation and equation group corresponding to n-k sample point of rejecting.
Preferably, the specification kind number according to product, chooses the sample point of corresponding number in a short time, specifically includes:
The sample point of quantity identical with the specification kind number of product in a short time is obtained according to the specification kind number of product.
Preferably, it is described according to the selling price of various products and the qualified Production rate gross output value of various products, specifically
Including:
The selling price of each product is multiplied with qualified yield and accumulates summation, obtains the gross output value.
Preferably, it is described that total energy consumption is calculated according to the energy consumption per unit of output value and the gross output value, specifically include:
The energy consumption per unit of output value is multiplied to obtain total energy consumption with the gross output value.
Preferably, according to energy balance relations, list total energy consumption, various products qualified yield and various products unit
The governing equation of product energy consumption, specifically includes:
Total energy consumption is equal to the qualified yield of each product and the sum of products of energy consumption of unit product.
By above technical scheme as it can be seen that one kind provided in an embodiment of the present invention determines unit product based on the energy consumption per unit of output value
The method of energy consumption utilizes energy balance relations, establishes the relational expression of the energy consumption per unit of output value and energy consumption of unit product, by rationally false
If taking the sample point of corresponding number in a short time and listing equation group, and solution space is analyzed, solve and obtain various products
Energy consumption of unit product.This method not only establishes the relation of the energy consumption per unit of output value and energy consumption of unit product, but also provides root
According to several sample points of enterprise according to measuring and calculating energy consumption of unit product method, pass through the analysis to solution space, it is ensured that solution it is unique
Property.
Brief description of the drawings
In order to illustrate more clearly about the embodiment of the present invention or technical scheme of the prior art, below will be to embodiment or existing
There is attached drawing needed in technology description to be briefly described, it should be apparent that, for those of ordinary skill in the art
Speech, without creative efforts, can also obtain other attached drawings according to these attached drawings.
Fig. 1 is a kind of method flow that energy consumption of unit product is determined based on the energy consumption per unit of output value provided in an embodiment of the present invention
Schematic diagram;
Fig. 2 is the specific method flow diagram of step S600 in Fig. 1 provided in an embodiment of the present invention.
Embodiment
In order to make those skilled in the art more fully understand the technical solution in the present invention, below in conjunction with of the invention real
The attached drawing in example is applied, the technical solution in the embodiment of the present invention is clearly and completely described, it is clear that described implementation
Example is only part of the embodiment of the present invention, instead of all the embodiments.Based on the embodiments of the present invention, this area is common
Technical staff's all other embodiments obtained without making creative work, should all belong to protection of the present invention
Scope.
Fig. 1 is a kind of method flow that energy consumption of unit product is determined based on the energy consumption per unit of output value provided in an embodiment of the present invention
Schematic diagram, as shown in Figure 1, this method comprises the following steps:
Step S100:According to the specification kind number of product, the sample point of corresponding number in a short time is chosen, and counts each sample
The energy consumption per unit of output value, the selling price of various products and the qualified yield of various products of point;
Since (such as weekly) energy consumption of unit product is basically unchanged in a short time, sample in embodiments of the present invention
This point chooses sample point in a short time.Specifically, count the energy consumption per unit of output value of each sample point, the selling price of various products
And the qualified yield data of various products.Wherein, the quantity of sample point can be determined according to the specification heatstroke of product, such as be produced
The specification kind number of product is n, then counts the related data of n sample point.
For example, in i-th of sample point, the qualified yield of various products is denoted as respectively:P1i, P2i, P3i ..., Pni, its
In, Pni represents the qualified yield of n product in i-th of sample point;The selling price of various products is denoted as:V1i、V2i、
V3i ..., Vni, wherein, Vni represents the qualified yield of n product in i-th of sample point;The energy consumption per unit of output value is denoted as:R0i.
Step S200:According to the selling price of various products and the qualified Production rate gross output value of various products;
In embodiments of the present invention, the selling price of each product is multiplied with qualified yield and accumulates summation, obtained
The gross output value.In i-th of sample point, the calculation formula of the gross output value is as shown in following formula one:
Formula one:
V0i=V1iP1i+V2iP2i+V3iP3i+...+VniPni
Wherein, VOi is the gross output value in i-th of sample point.
Step S300:Total energy consumption is calculated according to the energy consumption per unit of output value and the gross output value;
In embodiments of the present invention, the energy consumption per unit of output value is multiplied to obtain total energy consumption with the gross output value.I-th of sample
In this point, the calculation formula of total energy consumption is as shown in formula two:
Formula two:
E0i=R0iV0i
Wherein, E0i is the total energy consumption in i-th of sample point.
Step S400:According to energy balance relations, list total energy consumption, various products qualified yield and various products list
The governing equation of position product energy consumption;
In embodiments of the present invention, total energy consumption be equal to each product qualified yield and energy consumption of unit product product it
With the energy consumption of unit product of various products is denoted as:R1, R2, R3 ..., Rn, wherein, Rn represents the unit product of n product
Energy consumption.In i-th of sample point, total energy consumption, various products qualified yield and various products energy consumption of unit product relation side
Formula is as shown in formula three:
Formula three:
E0i=R1P1i+R2P2i+...+RnPni
Step S500:The qualified yield of total energy consumption corresponding to each sample point and various products is substituted into the relation side
Formula, obtains equation group, wherein the quantity of equation is identical with the quantity of the sample point in the equation group;
In embodiments of the present invention, the data corresponding to each sample point are substituted into formula three and obtains one and the sample point pair
The equation answered, all equations are combined to obtain corresponding equation group.It follows that in embodiments of the present invention in equation group
The quantity of sample point of the quantity of equation with sampling is identical, and the quantity of sample point is identical with the specification kind number of product, then may be used
Determine that the specification kind number of product is equally identical with the quantity of equation in equation group.
Assuming that the specification kind number of product is n, n equation is corresponded in equation group, it is assumed that separate equation formula is satisfied by non-thread
Property related condition, then can determine that unique solution vector of equation group, try to achieve the energy consumption of unit product of various products.
Step S600:The solution space of analysis equation group, calculates the energy consumption of unit product of various products.
In embodiments of the present invention, for the ease of analyzing equation group, the matrix expression of equation group is established:AX=
B, wherein A represent the qualified yield of various products, and X is solution vector, represents the energy consumption of unit product of various products, and b represents total energy
Consumption.The matrix expression (AX=b) of equation group is as shown in formula four:
Formula four:
Wherein, the coefficient matrix in formula four is as shown in formula five:
Formula five:
Fig. 2 is the specific method flow diagram of step S600 in Fig. 1 provided in an embodiment of the present invention, as shown in Fig. 2,
Step S600 is specifically further included in the embodiment of the present invention:
Step S601:Whether the order k of the coefficient matrix of decisive equation group is equal to n;
By the order of coefficient matrix compared with the number of unknown number, and then determine whether to obtain unique solution vector.
Step S602:If k is equal to n, the solution of equations vector X is calculated, obtains the unit product energy of various products
Consumption;
If the order of coefficient matrix is equal with the number of unknown number, it is determined that equation group has unique solution vector, to equation group
Solve and then energy consumption of unit product R1, R2 of various products can be obtained, R3 ..., Rn.
Step S603:If k is not equal to n, n-k sample point in equation group is rejected, takes n-k new samples in a short time again
This point;
Illustrate that the order of coefficient matrix is less than the number of unknown number if the order of coefficient matrix and the number of unknown number are unequal,
Illustrate there is the sample point with linear dependence in matrix, then reject n-k sample point in equation group, take n- in a short time again
K new sample points.In order to which the valid data ensured in equation group are not lost, the side corresponding to n-k sample point in rejecting
Formula has linear dependence with remaining equation in equation group, i.e., after n-k sample point is rejected, the order of equation group is still
For k, ensure that valid data are not lost.
Step S604:The qualified yield of total energy consumption corresponding to new sample point and various products is substituted into the relation side
Formula obtains n-k new equations;
The data collected according to new sample point, which are substituted into governing equation, obtains n-k new equations.
Step S605:By equations new the n-k and the equation group for rejecting n-k sample point and and composition newly
Equation group, return to step S601.
N-k new equations are substituted into the equation group for rejecting n-k sample point and obtain new equation group, then new side
Journey group equally has n equation, and return to step S601 is recalculated, and until obtaining unique solution vector, that is, realizes and is based on unit
Output value energy consumption determines energy consumption of unit product.
The technical program is more fully understood for the ease of those skilled in the art, below in conjunction with certain cupper smelting, root
According to the output value energy consumption in the different production periods of enterprise statistics, the energy consumption of unit product method for calculating various products carries out furtherly
It is bright.
The known cupper smelting produces three kinds of different products:Blister copper, anode copper and sulfuric acid, then it is short first to choose the enterprise
The data of adjacent three days DAY1, DAY2, DAY3 are as representative sample point in phase.The adjacent four days DAY1, DAY2 of the enterprise,
The product yield statistics of DAY3, DAY4 are as shown in table 1:
Table 1:
The selling price of product is as shown in table 2:
Table 2:
The energy consumption per unit of output value is as shown in table 3:
Table 3:
Then the cupper smelting calculates as follows in the gross output value VO1, VO2, VO2 of selected three sample points:
DAY1:V01=V11P11+V21P21+V31P31
=40000180+60000140+400870=15948000 members
DAY2:V02=V12P12+V22P22+V32P32
=40000160+60000120+400780=13912000 members
DAY3:V03=V13P13+V23P23+V33P33
=40000170+60000130+400825=14930000 members
Total energy consumption E01, E02, E03 calculating formula of three sample points is:
E01=R01V01=179.20tce
E02=R02V02=156.74tce
E03=R03V03=167.97tce
Assuming that the energy consumption of unit product of enterprise's various products was constant in one week.According to energy balance relations and
The data of 3 selected representative sample points DAY1, DAY2, DAY3, list 3 equations:
E01=179.20=R1P11+R2P21+R3P31
E02=156.74=R1P12+R2P22+R3P32
E03=167.97=R1P13+R2P23+R3P33
Establish the expression matrix form A1X=b1 of equation group:
The determinant of the coefficient matrices A 1 of above-mentioned equation is:
The determinant of calculating matrix A1:
The determinant of matrix A 1 is equal to 0, so the order of matrix A 1 is less than 3, and the first row row vector of matrix A 1 and the
Two every trade SYSTEM OF LINEAR VECTORs are uncorrelated.Therefore, the order of matrix A 1 is equal to 2, it is necessary to Rejection of samples point DAY3.
1 representative sample point DAY4 is taken again, calculates gross output value V04, the total energy consumption E04 of new sample point:
DAY4:V04=V14P14+V24P24+V34P34
=40000170+60000125+400820=14628000 members
The total energy consumption E04 calculating formulas of 4th sample point are:
E04=R04V04=165.06tce
According to energy balance relations, new equation is listed:
E01=179.20=R1P11+R2P21+R3P31
E02=156.74=R1P12+R2P22+R3P32
E04=165.06=R1P14+R2P24+R3P34
Establish the matrix expression A2X=b2 of new equation group:
The determinant of the coefficient matrices A 2 of above-mentioned equation is:
The then determinant of calculating matrix A2:
The determinant of matrix A 2 is not equal to 0, so the order of matrix A 2 is equal to 3.
Calculate energy consumption of unit product R1, R2, R3 of enterprise's production various products.
Due to A2X=b2, so X=A2-1b2:
Therefore, the energy consumption of unit product of the first product, that is, blister copper is 0.53tce/t blister coppers, second of product, that is, anode copper
Energy consumption of unit product be 0.58tce/t anode coppers, the energy consumption of unit product of the third product, that is, sulfuric acid is 0.003tce/t sulphur
Acid.
Not only unit production can be calculated according to the energy consumption per unit of output value and the relation of energy consumption of unit product in this manner
Product energy consumption, and by analyzing solution space, it is ensured that the uniqueness of solution, makes method have preferable reliability.
By above technical scheme as it can be seen that one kind provided in an embodiment of the present invention determines unit product based on the energy consumption per unit of output value
The method of energy consumption utilizes energy balance relations, establishes the relational expression of the energy consumption per unit of output value and energy consumption of unit product, by rationally false
If taking the sample point of corresponding number in a short time and listing equation group, and solution space is analyzed, solve and obtain various products
Energy consumption of unit product.This method not only establishes the relation of the energy consumption per unit of output value and energy consumption of unit product, but also provides root
According to several sample points of enterprise according to measuring and calculating energy consumption of unit product method, pass through the analysis to solution space, it is ensured that solution it is unique
Property.
It should be noted that herein, the relational terms of such as " first " and " second " or the like are used merely to one
A entity or operation are distinguished with another entity or operation, without necessarily requiring or implying these entities or operate it
Between there are any actual relationship or order.Moreover, term " comprising ", "comprising" or its any other variant are intended to
Cover non-exclusive inclusion, so that process, method, article or equipment including a series of elements not only include those
Key element, but also including other elements that are not explicitly listed, or further include as this process, method, article or set
Standby intrinsic key element.In the absence of more restrictions, the key element limited by sentence "including a ...", it is not excluded that
Also there are other identical element in the process, method, article or apparatus that includes the element.
The above is only the embodiment of the present invention, is made skilled artisans appreciate that or realizing this hair
It is bright.A variety of modifications to these embodiments will be apparent to one skilled in the art, as defined herein
General Principle can be realized in other embodiments without departing from the spirit or scope of the present invention.Therefore, it is of the invention
The embodiments shown herein is not intended to be limited to, and is to fit to and the principles and novel features disclosed herein phase one
The most wide scope caused.
Claims (5)
- A kind of 1. method that energy consumption of unit product is determined based on the energy consumption per unit of output value, it is characterised in that including:The sample point of quantity identical with the specification kind number of product in a short time is obtained according to the specification kind number of product,And count the qualified yield of the energy consumption per unit of output value of each sample point, the selling price of various products and various products;According to the selling price of various products and the qualified Production rate gross output value of various products;Total energy consumption is calculated according to the energy consumption per unit of output value and the gross output value;According to energy balance relations, total energy consumption is equal to the qualified yield of each product and the sum of products of energy consumption of unit product, List total energy consumption, various products qualified yield and various products energy consumption of unit product governing equation;The qualified yield of total energy consumption corresponding to each sample point and various products is substituted into the governing equation, obtains equation Group, wherein the quantity of equation is identical with the quantity of the sample point in the equation group;The solution space of analysis equation group, calculates the energy consumption of unit product of various products.
- 2. the method according to claim 1 that energy consumption of unit product is determined based on the energy consumption per unit of output value, it is characterised in that right The equation group establishes matrix expression:AX=b, wherein A represent the qualified yield of various products, and X is solution vector, is represented various The energy consumption of unit product of product, b represent total energy consumption;If the specification kind number of the product is the solution space of n, then the analysis equation group, the unit product energy of various products is calculated Consumption, specifically includes:Whether the order k of the coefficient matrix of decisive equation group is equal to n;If k is equal to n, the solution of equations vector X is calculated, obtains the energy consumption of unit product of various products;If k is not equal to n, n-k sample point in equation group is rejected, takes n-k new sample points in a short time again;The qualified yield of total energy consumption corresponding to new sample point and various products is substituted into the governing equation and obtains n-k New equation;The equation group of n-k sample point of the n-k new equations and the rejecting is merged and forms new equation group;Above-mentioned steps are returned to, whether the order k of the coefficient matrix of decisive equation group is equal to n.
- 3. the method according to claim 2 that energy consumption of unit product is determined based on the energy consumption per unit of output value, it is characterised in that pick Except n-k sample point in equation group, specifically include:Remaining equation has linear dependence in equation and equation group corresponding to n-k sample point of rejecting.
- 4. the method according to claim 1 that energy consumption of unit product is determined based on the energy consumption per unit of output value, it is characterised in that institute The qualified Production rate gross output value of the selling price and various products according to various products is stated, is specifically included:The selling price of each product is multiplied with qualified yield and accumulates summation, obtains the gross output value.
- 5. the method according to claim 1 that energy consumption of unit product is determined based on the energy consumption per unit of output value, it is characterised in that institute State and total energy consumption is calculated according to the energy consumption per unit of output value and the gross output value, specifically include:The energy consumption per unit of output value is multiplied to obtain total energy consumption with the gross output value.
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