CN105975774A - Super-efficiency DEA model-based industrial user energy utilization efficiency evaluation method - Google Patents

Abstract

The invention discloses a super-efficiency DEA (Data Envelopment analysis) model-based industrial user energy utilization efficiency evaluation method. The method comprises the steps of firstly establishing an industrial user energy utilization efficiency evaluation system; secondly solving primary and secondary energy utilization efficiency of a typical industrial user through a super-efficiency DEA method; thirdly establishing energy utilization efficiency evaluation indexes of production links according to weighted distribution; and finally establishing an energy recycling efficiency index system. According to the method, the energy utilization efficiency of each level of the industrial user and the energy utilization efficiency of each link can be effectively identified; a method for comprehensively evaluating energy utilization efficiency is more accurately established; efficiency differences among decision-making units can be effectively distinguished; and the evaluated decision-making units are effectively sorted.

Description

A kind of industrial user's energy utilization efficiency evaluation method based on super-efficiency DEA

Technical field

The present invention relates to a kind of method evaluating efficiency of energy utilization, particularly relate to a kind of evaluation based on super DEA model Method.

Background technology

The energy is country and the important lifeblood of society, has both affected the economic growth of whole country, affects again the steady of society Fixed.And for industrial user in Itellectualized uptown, a lot of energy or power plant with the equipment under common production scene are Different, it is mainly reflected in running, is usually associated with the utilization of the energy.

" efficiency of energy utilization " of narrow sense refers to " energy resource system efficiency ", and energy resource system efficiency refers in the activity using the energy Effective quantity of energy obtained by and the ratio of the quantity of energy actually entered, be typically expressed as a percentage.The aggregate efficiency of energy resource system Typically by production of energy and intermediate link efficiency (including that production of energy process is with processing conversion efficiency and storing efficiency) and end End utilization ratio composition.Also someone advocates the response rate of energy extraction to be included, but it is possible to the definition of source production efficiency is difficult To determine: on the one hand total resources shared in resource exploitation is defined unclear；On the other hand the resource of various countries examines tax condition Different, the height of recovery ratio, except relevant with technical merit, additionally depends on the occurrence condition of resource.

For primary energy utilization ratio, the most widely used method of current scholar is general data Envelope Analysis model Method (Data Envelopment analysis, vehicle economy A).DEA be famous operational research A.Charnes and The scholars such as W.W.Cooper started establishment in 1978, were that of mathematics, operational research, mathematical economics and managerial science is new Crossing domain.DEA method is based on Mathematical Planning thought, relative by set up between linear programming model comparison decision unit Efficiency, is evaluated decision package.The foundation evaluated is input data and the output data of decision package.Input data are certainly Plan unit needs the resource expended in certain activity, such as input, labour force, eldest branch of a family's equipment etc.；Output data refer to Input through the quantity of information of certain production process some output achievement of be converted into decision package, as output quantity, quality, obtain The profit etc. obtained.DEA method can get rid of a lot of subjective factorss in evaluation procedure, and therefore it is in society, science and technology, economic, religion The different field such as educate to be with a wide range of applications.At present, the range of application of DEA progressively expands to from original evaluation field The fields such as prediction, early warning and estimation technique progress.DEA method based on Mathematical Planning thought, by set up linear programming model with Evaluate the relative efficiency between decision package.DEA method is to evaluate multi input and the highly effective side of one of multi output problem Method, it is not necessary to determine any type of expression formula between input and output index, there is the characteristic of black box method.DEA method is The input data of foundation decision package and output data evaluate the quality of decision package, are i.e. evaluated the phase of efficiency of energy utilization To effectiveness, and the relative effectiveness of each decision package relate to two aspects, and one is built upon being compared to each other basis On relative effectiveness；Another is that the effectiveness of each decision-making efficiency of energy utilization depends on multi input and throwing during multi output Enter output ratio.DEA, by the comprehensive analysis to this, draws the efficiency index of each decision package, and according to this by decision package Deciding grade and level is queued up, and many inputs and many outputs index evaluation on Relative Efficiency Validity to social economic system are the most effective.Therefore, one is set up Industrial user's energy utilization efficiency evaluation method that the suitability is higher is imperative.

Summary of the invention

Situation about lacking for existing evaluation efficiency of energy utilization method, the present invention proposes a kind of based on super efficiency DEA mould Industrial user's energy utilization efficiency evaluation method of type.

To achieve the above object of the invention, the technical solution adopted in the present invention is:

A kind of industrial user's energy utilization efficiency evaluation method based on super-efficiency DEA comprises the following steps:

(1) industrial user's efficiency of energy utilization three level evaluation system is set up, including one-level efficient energy conversion, two grades of energy Source service efficiency and wasted energy recycle efficiency；And the utilization of energy that efficiency of energy utilization is production link of industrial user is set Efficiency and wasted energy recycle the comprehensive of efficiency:

θ=a_pθ_p+a_rθ_r

Wherein θ_p, θ_rIt is respectively efficiency of energy utilization and energy recovery utilization ratio, a of production link_p, a_rMake a living respectively Produce link efficiency of energy utilization and the weight coefficient of energy recovery utilization ratio；

(2) set up typical industry user one-level efficient energy conversion based on hypervelocity rate DEA model, two grades of energy use effect Rate index system

Hypervelocity rate DEA method expression formula is as follows:

${\mathrm{min\θ}}_0^{\sup er}$

$s.t.\left\{\begin{array}{c}\underset{j\≠0}{\overset{n}{\underset{j=1}{\mathrm{\Σ}}}}{\mathrm{\λ}}_j{x}_{ij}+s_i^{-}={\mathrm{\θ}}_0^{\sup er}{x}_{i0},i=1,2,\mathrm{3.....}m\\ \underset{j\≠0}{\overset{n}{\underset{j=1}{\mathrm{\Σ}}}}{\mathrm{\λ}}_j{y}_{ij}-s_i^{+}=y_{i0},i=1,2,\mathrm{3.....}s\\ \underset{j\≠0}{\overset{n}{\underset{j=1}{\mathrm{\Σ}}}}{\mathrm{\λ}}_j==1\\ {\mathrm{\λ}}_j\≥0,j\≠0\end{array}\right.$

Wherein,It is efficiency index, λ_jIt is input and output factor, x_ijI-th input for jth industrial user refers to Scale value, t_ijFor the i-th output desired value of jth industrial user,It is respectively and puts into and output slack variable；

(3) the efficiency of energy utilization evaluation index of the production link of typical industry user is set up；

${\mathrm{\θ}}_k={\mathrm{\θ}}_{k1}\underset{i=1}{\overset{n}{\Σ}}{t}_i^k{\mathrm{\α}}_i^k\underset{j=1}{\overset{m}{\Σ}}{\mathrm{\θ}}_{ij}{y}_{ij}$

${\mathrm{\θ}}_p=\frac{\underset{k}{\Σ}{\mathrm{\θ}}_k{Y}_k}{\underset{k}{\Σ}{Y}_k}$

Wherein, θ_kFor the comprehensive energy cascade utilization efficiency of the kth kind one-level energy, Y_kKth kind one-level for this industrial user The total amount consumed of the energy, θ_k1For the one-level efficiency of energy utilization of the kth kind one-level energy,I-th energy for the kth kind one-level energy The energy conversion efficiency of source modular converter,The ratio of the kth kind one-level energy, θ is used for i-th energy conversion module_ijIt is J kind product uses the energy use efficiency of i-th kind of two grades of energy, y_ijThe energy using i-th kind of two grades of energy for jth kind product disappears Consumption；

(4) set up wasted energy and recycle efficiency index

θ_r=Q_r/Y_r

Q_rThe energy summation recycled for all energy recycle devices of typical industry user, Y_rRaw for typical industry user The recoverable energy summation produced during product.

Beneficial effect: relative to prior art, the present invention first sets up industrial user's efficiency of energy utilization evaluation system, then Solve the one-level of typical industry user, secondary efficiency of energy utilization by hypervelocity rate DEA method, and set up it according to weight assignment The efficiency of energy utilization evaluation index of production link, finally sets up energy recovery utilization ratio index system, can effectively identification work Industry user efficiency of energy utilization at different levels and each link efficiency of energy utilization, more accurately establish a set of overall merit energy profit By the method for efficiency rating, it is possible to efficiently differentiate the efficiency variance between decision package, and the decision package evaluated is entered The effective sequence of row.

On the basis of technique scheme, further, production link efficiency of energy utilization and energy recovery utilize effect The weight coefficient of rate is determined according to the production link of industrial user and the characteristic of energy recovery link.

Further, described industrial user's efficiency of energy utilization evaluation system can be assessed the production process energy and use effect Rate, also can assess energy recovery cascade utilization efficiency, the highest not over 1

Further, described typical industry user's production link efficiency of energy utilization evaluation index is each according to each industrial user The energy conversion efficiency of module is different to be weighted analyzing with the product power consumption different sub-indicator of module efficiency of energy utilization.

Further, described industrial user's wasted energy recycles efficiency index by each module energy recovery units at different levels certainly Fixed.

Further, described industrial user comprises iron and steel class user, petrochemical industry class user, power generation class user, spins Knit class user, cement class user, pharmacy class user, rubber and Plastic user and paper-making industry class user.

Accompanying drawing explanation

Fig. 1 is the flow process of a kind of industrial user's energy utilization efficiency evaluation method based on super-efficiency DEA of the present invention Figure.

Fig. 2 is the signal of a kind of industrial user's energy utilization efficiency evaluation method based on super-efficiency DEA of the present invention Figure.

Detailed description of the invention

Below in conjunction with the accompanying drawings and detailed description of the invention, the present invention is further described.

First, in the present invention for industrial user comprise iron and steel class user, petrochemical industry class user, power generation class use Family, textile user, cement class user, pharmacy class user, rubber and Plastic user and paper-making industry class user.

As it is shown in figure 1, the energy utilization efficiency evaluation method of the present invention comprises the steps:

(1) setting up industrial user's efficiency of energy utilization three level evaluation system, leading indicator includes that one-level energy conversion is imitated Rate, two grades of energy use efficiencies and wasted energy recycle efficiency.Choose final efficiency of energy utilization to refer to as the evaluation of each user Mark, is defined as decision package.The efficiency of energy utilization of industrial user is efficiency of energy utilization and the wasted energy recovery profit of production link Comprehensive by efficiency:

θ=a_pθ_p+a_rθ_r (1)

Wherein θ_p, θ_rIt is respectively efficiency of energy utilization and energy recovery utilization ratio, a of production link_p, a_rMake a living respectively Producing link efficiency of energy utilization and the weight coefficient of energy recovery utilization ratio, this weight coefficient is according to the production ring of industrial user The characteristic of joint and energy recovery link is determined, and energy cascade utilization aggregative indicator carries out normalizing by this weight coefficient simultaneously Change, i.e. energy cascade utilization index is the highest not over 1.

(2) set up typical industry user one-level efficient energy conversion based on hypervelocity rate DEA model, two grades of energy use effect Rate index system

Super DEA can efficiently differentiate out between the decision package of energy efficiency effectively (i.e. efficiency value is 1) Efficiency variance, the decision package evaluated effectively can be sorted, the efficiency of energy utilization of the most each industrial user.Super Speed DEA method expression formula is as follows:

${\mathrm{min\θ}}_0^{\sup er}---\left(2\right)$

$s.t.\left\{\begin{array}{c}{\mathrm{\Σ}}_{\underset{j\≠0}{j=1}}^n{\mathrm{\λ}}_j{x}_{ij}+s_i^{-}={\mathrm{\θ}}_0^{\sup er}{x}_{i0},i=1,2,\mathrm{3.....}m\\ {\mathrm{\Σ}}_{\underset{j\≠0}{j=1}}^n{\mathrm{\λ}}_j{y}_{ij}-s_i^{+}=y_{i0},i=1,2,\mathrm{3.....}s\\ {\mathrm{\Σ}}_{\underset{j\≠0}{j=1}}^n{\mathrm{\λ}}_j==1\\ {\mathrm{\λ}}_j\≥0,j\≠0\end{array}\right.---\left(3\right)$

Wherein,It is efficiency index, λ_jIt is input and output factor, x_ijI-th input for jth industrial user refers to Scale value, t_ijFor the i-th output desired value of jth industrial user,It is respectively and puts into and output slack variable.If effect Rate indexIllustrate to put into and be not reaching to optimum efficiency with output；IfShow that input in science and technology and output are firm Reach optimum efficiency well；IfThen explanation puts into and output has exceeded optimum efficiency.

(3) the efficiency of energy utilization evaluation index of the production link of typical industry user is set up

There is multiple energy conversion unit and product power consumption module, the energy conversion effect of each module in each industrial user Rate and efficiency of energy utilization are all not quite similar, and therefore should assess its efficiency the energy with each link respectively for multiple module Participation amount is weighted analyzing for weighting foundation, thus obtains final comprehensive evaluation index.

${\mathrm{\θ}}_k={\mathrm{\θ}}_{k1}\underset{i=1}{\overset{n}{\Σ}}{t}_i^k{\mathrm{\α}}_i^k\underset{j=1}{\overset{m}{\Σ}}{\mathrm{\θ}}_{ij}{y}_{ij}---\left(4\right)$

${\mathrm{\θ}}_p=\frac{\underset{k}{\Σ}{\mathrm{\θ}}_k{Y}_k}{\underset{k}{\Σ}{Y}_k}---\left(5\right)$

Wherein, θ_kFor the comprehensive energy cascade utilization efficiency of the kth kind one-level energy, Y_kKth kind one-level for this industrial user The total amount consumed of the energy, θ_k1For the one-level efficiency of energy utilization of the kth kind one-level energy,I-th energy for the kth kind one-level energy The energy conversion efficiency of source modular converter,The ratio of the kth kind one-level energy, θ is used for i-th energy conversion module_ijIt is J kind product uses the energy use efficiency of i-th kind of two grades of energy, y_ijThe energy using i-th kind of two grades of energy for jth kind product disappears Consumption.

(4) set up wasted energy and recycle efficiency index

This index is determined by each energy recovery unit, is the important indicator of wasted energy recovery cascade utilization, is equivalent to directly carry High energy use efficiency.The waste heat that produces in recycling production process, the low-quality energy such as waste gas, the wasted energy of foundation returns Receiving utilization rate as energy recovery utilization ratio index expression is:

θ_r=Q_r/Y_r (6)

Q_rThe energy summation recycled for all energy recycle devices of typical industry user, Y_rRaw for typical industry user The recoverable energy summation produced during product.

As in figure 2 it is shown, be industrial user's efficiency of energy utilization evaluation system, mainly include one-level efficient energy conversion, two Level energy use efficiency and wasted energy recycle efficiency.

The method and the approach that implement this technical scheme are a lot, and the above is only the preferred embodiment of the present invention, It should be pointed out that, for those skilled in the art, under the premise without departing from the principles of the invention, it is also possible to do Going out some improvements and modifications, these improvements and modifications also should be regarded as protection scope of the present invention.In the present embodiment the clearest and the most definite each Ingredient all can use prior art to be realized.

Claims (6)

1. industrial user's energy utilization efficiency evaluation method based on super-efficiency DEA, it is characterised in that the method bag Include following steps:

(1) setting up industrial user's efficiency of energy utilization three level evaluation system, including one-level efficient energy conversion, two grades of energy make Efficiency is recycled with efficiency and wasted energy；And the efficiency of energy utilization that efficiency of energy utilization is production link of industrial user is set With wasted energy recycle efficiency comprehensive:

θ=a_pθ_p+a_rθ_r

Wherein θ_p, θ_rIt is respectively efficiency of energy utilization and energy recovery utilization ratio, a of production link_p, a_rIt is respectively production link Efficiency of energy utilization and the weight coefficient of energy recovery utilization ratio；

(2) set up typical industry user one-level efficient energy conversion based on hypervelocity rate DEA model, two grades of energy use efficiencies refer to Mark system

Hypervelocity rate DEA method expression formula is as follows:

$\min {\mathrm{\θ}}_0^{\mathrm{super}}$

$s.t.\left\{\begin{array}{c}\underset{\underset{j\≠0}{j=1}}{\overset{n}{\mathrm{\Σ}}}{\mathrm{\λ}}_j{x}_{\mathrm{ij}}+s_j^{-}={\mathrm{\θ}}_0^{\mathrm{super}}{x}_{i0},i=\mathrm{1,2,3}.....m\\ \underset{\underset{j\≠0}{j=1}}{\overset{n}{\mathrm{\Σ}}}{\mathrm{\λ}}_j{y}_{\mathrm{ij}}-s_i^{+}=y_{i0},i=\mathrm{1,2,3}.....s\\ \underset{\underset{j\≠0}{j=1}}{\overset{n}{\mathrm{\Σ}}}{\mathrm{\λ}}_j==1\\ {\mathrm{\λ}}_j\≥0,j\≠0\end{array}\right.$

Wherein,It is efficiency index, λ_jIt is input and output factor, x_ijI-th input pointer for jth industrial user Value, t_ijFor the i-th output desired value of jth industrial user,It is respectively and puts into and output slack variable；

(3) the efficiency of energy utilization evaluation index of the production link of typical industry user is set up；

${\mathrm{\θ}}_k={\mathrm{\θ}}_{k1}\underset{i=1}{\overset{n}{\mathrm{\Σ}}}{t}_i^k{\mathrm{\α}}_i^k\underset{j=1}{\overset{m}{\mathrm{\Σ}}}{\mathrm{\θ}}_{\mathrm{ij}}{y}_{\mathrm{ij}}$

${\mathrm{\θ}}_p=\frac{\underset{k}{\mathrm{\Σ}}{\mathrm{\θ}}_k{Y}_k}{\underset{k}{\mathrm{\Σ}}{Y}_k}$

Wherein, θ_kFor the comprehensive energy cascade utilization efficiency of the kth kind one-level energy, Y_kThe kth kind one-level energy for this industrial user Total amount consumed, θ_k1For the one-level efficiency of energy utilization of the kth kind one-level energy,The i-th energy for the kth kind one-level energy turns The energy conversion efficiency of die change block,The ratio of the kth kind one-level energy, θ is used for i-th energy conversion module_ijFor jth kind Product uses the energy use efficiency of i-th kind of two grades of energy, y_ijThe energy resource consumption of i-th kind of two grades of energy is used for jth kind product Amount；

(4) set up wasted energy and recycle efficiency index

θ_r=Q_r/Y_r

Q_rThe energy summation recycled for all energy recycle devices of typical industry user, Y_rFor typical industry, user produced The recoverable energy summation produced in journey.

Industrial user's energy utilization efficiency evaluation method based on super-efficiency DEA the most according to claim 1, it is special Levying and be, the weight coefficient of production link efficiency of energy utilization and energy recovery utilization ratio is according to the production link of industrial user It is determined with the characteristic of energy recovery link.

Industrial user's energy utilization efficiency evaluation method based on super-efficiency DEA the most according to claim 1 and 2, It is characterized in that, described industrial user's efficiency of energy utilization evaluation system can assess production process energy use efficiency, also can Assessment energy recovery cascade utilization efficiency is the highest not over 1.

Industrial user's energy utilization efficiency evaluation method based on super-efficiency DEA the most according to claim 3, it is special Levying and be, described typical industry user's production link efficiency of energy utilization evaluation index is according to the energy of each module of each industrial user Conversion efficiency is different to be weighted analyzing with the product power consumption different sub-indicator of module efficiency of energy utilization.

Industrial user's energy utilization efficiency evaluation method based on super-efficiency DEA the most according to claim 4, it is special Levying and be, described industrial user's wasted energy recycles efficiency index and is determined by each module energy recovery units at different levels.

Industrial user's energy utilization efficiency evaluation method based on super-efficiency DEA the most according to claim 5, it is special Levying and be, described industrial user comprises iron and steel class user, petrochemical industry class user, power generation class user, textile user, water Mud class user, pharmacy class user, rubber and Plastic user and paper-making industry class user.