CN105913199A - Energy, economy and environment coordination degree calculation method and device based on ellipsoidal model - Google Patents

Energy, economy and environment coordination degree calculation method and device based on ellipsoidal model Download PDF

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CN105913199A
CN105913199A CN201610320042.2A CN201610320042A CN105913199A CN 105913199 A CN105913199 A CN 105913199A CN 201610320042 A CN201610320042 A CN 201610320042A CN 105913199 A CN105913199 A CN 105913199A
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申晓留
马新科
乔鑫
王默玉
刘瑞雪
迟俊琳
曹柳青
杨瀚钦
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North China Electric Power University
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Abstract

本发明提供了基于椭球模型的能源、经济和环境协调度计算方法及装置,涉及地域信息测评领域,本发明所提供的方法,其通过预先建立了椭球分析模型,并使用该椭球分析模型调整了在能源与经济协调的情况下,环境与能源‑经济的协调度、在能源与环境系统协调的情况下,经济与能源‑经济的协调度,以及经济与环境系统协调的情况下,能源与经济‑环境的协调度。并最终使计算得出的能源、经济和环境协调度更为准确。

The present invention provides a method and device for calculating energy, economy, and environmental coordination based on an ellipsoid model, and relates to the field of regional information evaluation. The method provided by the present invention establishes an ellipsoid analysis model in advance and uses the ellipsoid The model adjusts for the degree of coordination between the environment and the energy-economy in the case of coordination between the energy and the economy, the degree of coordination between the economy and the energy-economy in the case of coordination between the energy and the environment system, and the degree of coordination between the economy and the environment system Harmony of energy and economy-environment. And finally make the calculated energy, economy and environment coordination degree more accurate.

Description

基于椭球模型的能源、经济和环境协调度计算方法及装置Calculation method and device for energy, economy and environment coordination degree based on ellipsoid model

技术领域technical field

本发明涉及地域信息测评领域,具体而言,涉及基于椭球模型的能源、经济和环境协调度计算方法及装置。The invention relates to the field of regional information evaluation, in particular to a calculation method and device for energy, economy and environment coordination degree based on an ellipsoid model.

背景技术Background technique

随着社会经济的快速发展和工业化进程的推进,资源短缺和环境污染问题日益凸显,人们越来越重视能源-经济-环境(Energy-Economy-Environment,3E)的协调发展。能源是国民经济和社会发展的基础与保证,也是当今国际政治、经济、军事、外交关注的焦点;经济基础决定上层建筑,是一切发展问题的中心;环境是发展的重要依据,是经济社会可持续发展的关键。With the rapid development of social economy and the advancement of industrialization, the problems of resource shortage and environmental pollution have become increasingly prominent, and people are paying more and more attention to the coordinated development of energy-economy-environment (Energy-Economy-Environment, 3E). Energy is the basis and guarantee for national economic and social development, and it is also the focus of international politics, economy, military and diplomacy; the economic base determines the superstructure and is the center of all development issues; the environment is an important basis for key to sustainable development.

其中,如何更为合理、准确的确定能源、经济和环境的协调度是进行其他理论研究的基础,因此,如何准确的确定能源、经济和环境的协调度便成为了重点。Among them, how to determine the coordination degree of energy, economy and environment more reasonably and accurately is the basis of other theoretical researches. Therefore, how to accurately determine the coordination degree of energy, economy and environment has become the focus.

由于3E系统是一个庞大而复杂的系统,采用单一指标的线性结构很难描述各子系统的真实发展水平。因此,相关技术中会采用一些具体的数学模型来辅助进行协调度的分析和计算。具体的,如相关技术中会采用正方体模型进行协调度的分析和计算,但这种分析、计算方式仍然精度不足。Since the 3E system is a large and complex system, it is difficult to describe the real development level of each subsystem with a single index linear structure. Therefore, some specific mathematical models are used in related technologies to assist in the analysis and calculation of the degree of coordination. Specifically, for example, in related technologies, a cube model is used to analyze and calculate the degree of coordination, but this analysis and calculation method is still not accurate enough.

即,相关技术中,计算能源、经济和环境的协调度的方法不够准确。That is, in the related art, the method of calculating the coordination degree of energy, economy and environment is not accurate enough.

发明内容Contents of the invention

本发明的目的在于提供基于椭球模型的能源、经济和环境协调度计算方法及装置,以提高计算能源、经济和环境的协调度的精确程度。The object of the present invention is to provide a method and device for calculating the degree of coordination of energy, economy and environment based on an ellipsoid model, so as to improve the accuracy of calculating the degree of coordination of energy, economy and environment.

第一方面,本发明实施例提供了基于椭球模型的能源、经济和环境协调度计算方法,包括:In the first aspect, an embodiment of the present invention provides a calculation method for energy, economy and environment coordination degree based on an ellipsoid model, including:

根据目标地域的历年数据统计表,分析得出目标地域的能源发展速度Va、经济发展速度Vb和环境发展速度VcAccording to the statistical table of historical data of the target area, analyze and obtain the energy development speed V a , the economic development speed V b and the environmental development speed V c of the target area;

按照如下公式计算目标地域的能源、经济和环境协调度,Calculate the energy, economy and environment coordination degree of the target region according to the following formula,

EE. (( VV aa ,, VV bb ,, VV cc )) == mm (( VV aa ,, VV bb )) ** αα ++ mm (( VV aa ,, VV cc )) ** ββ ++ mm (( VV bb ,, VV cc )) ** γγ mm (( VV aa ,, VV bb )) ++ mm (( VV aa ,, VV cc )) ++ mm (( VV bb ,, VV cc )) ;;

其中, Va为目标地域的能源发展速度,Vb为目标地域的经济发展速度,Vc为目标地域的环境发展速度。in, V a is the energy development speed of the target region, V b is the economic development speed of the target region, and V c is the environmental development speed of the target region.

结合第一方面,本发明实施例提供了第一方面的第一种可能的实施方式,其中,根据目标地域的历年数据统计表,分析得出目标地域的能源发展速度Va、经济发展速度Vb和环境发展速度Vc包括:In combination with the first aspect, the embodiment of the present invention provides the first possible implementation mode of the first aspect, wherein, according to the statistical tables of historical data of the target region, the energy development speed V a and the economic development speed V a of the target region are analyzed and obtained. b and the environmental development velocity V c include:

按照如下公式计算目标地域的能源发展速度Va、经济发展速度Vb和环境发展速度VcCalculate the energy development speed V a , the economic development speed V b and the environmental development speed V c of the target area according to the following formula:

VV aa == dd AA dd tt ,, VV bb == dd BB dd tt ,, VV cc == dd CC dd tt ;;

其中,t为历年数据统计表的统计年限,A、B和C分别是目标地域的能源、经济和环境的综合发展水平值的曲线拟合方程式。Among them, t is the statistical year of the historical data statistics table, and A, B, and C are the curve fitting equations of the comprehensive development level values of energy, economy, and environment in the target area, respectively.

结合第一方面,本发明实施例提供了第一方面的第二种可能的实施方式,其中,根据目标地域的历年数据统计表,分析得出目标地域的能源发展速度Va、经济发展速度Vb和环境发展速度Vc还包括:采用主成分分析法,确定目标地域的经济系统中经济标准指标数据以及经济标准指标数据的权重值,并确定目标地域的能源系统中能源标准指标数据以及上述能源标准指标数据的权重值,并确定目标地域的环境系统中环境标准指标数据以及环境标准指标数据的权重值;In combination with the first aspect, the embodiment of the present invention provides a second possible implementation of the first aspect, wherein, according to the historical data statistics table of the target region, the energy development speed V a and the economic development speed V a of the target region are analyzed and obtained. b and the speed of environmental development V c also include: using the principal component analysis method to determine the economic standard index data in the economic system of the target region and the weight value of the economic standard index data, and to determine the energy standard index data in the energy system of the target region and the above-mentioned The weight value of the energy standard index data, and determine the weight value of the environmental standard index data and the environmental standard index data in the environmental system of the target region;

采用加权计算的方式,根据确定出的经济标准指标数据的数值以及经济标准指标数据的权重值计算出目标地域的经济综合发展水平的数值,并采用拟合的方式计算出经济的综合发展水平值的曲线拟合方程式;Using the method of weighted calculation, the value of the comprehensive economic development level of the target area is calculated according to the value of the determined economic standard index data and the weight value of the economic standard index data, and the value of the comprehensive economic development level of the target area is calculated by a fitting method The curve fitting equation of ;

采用加权计算的方式,根据确定出的能源标准指标数据的数值以及能源标准指标数据的权重值计算出目标地域的能源综合发展水平的数值,并采用拟合的方式计算出能源的综合发展水平值的曲线拟合方程式;Using the method of weighted calculation, according to the value of the determined energy standard index data and the weight value of the energy standard index data, the value of the comprehensive energy development level of the target area is calculated, and the value of the comprehensive development level of energy is calculated by a fitting method The curve fitting equation of ;

采用加权计算的方式,根据确定出的环境标准指标数据的数值以及环境标准指标数据的权重值计算出目标地域的环境综合发展水平的数值,并采用拟合的方式计算出环境的综合发展水平值的曲线拟合方程式。Using the method of weighted calculation, according to the value of the determined environmental standard index data and the weight value of the environmental standard index data, the value of the comprehensive environmental development level of the target area is calculated, and the value of the comprehensive development level of the environment is calculated by a fitting method The curve fitting equation for .

结合第一方面,本发明实施例提供了第一方面的第三种可能的实施方式,其中,所述根据目标地域的历年数据统计表,分析得出目标地域的能源发展速度Va、经济发展速度Vb和环境发展速度Vc还包括:In combination with the first aspect, the embodiment of the present invention provides a third possible implementation manner of the first aspect, wherein, the energy development speed V a and the economic development rate of the target region are analyzed and obtained according to the historical data statistics table of the target region. Velocity V b and ambient development velocity V c also include:

按照如下公式分别计算能源、经济、环境综合发展水平的数值,According to the following formulas, the values of the comprehensive development levels of energy, economy and environment are calculated respectively,

F=Z×T;F=Z×T;

其中,F为n×1矩阵,每一行表示对应年份下能源、经济、环境综合发展水平的数值,n为通过目标地域的历年数据得到的年份个数;Z为n×p矩阵,表示通过目标地域的历年数据统计表计算出的能源、经济或环境标准指标数据,T为p×1矩阵,每一行表示能源、经济或环境对应指标下的权重值,p为通过目标地域的历年数据得到的指标个数。Among them, F is an n×1 matrix, each row represents the value of the comprehensive development level of energy, economy and environment in the corresponding year, n is the number of years obtained through the historical data of the target area; The energy, economic or environmental standard index data calculated from the statistical table of regional data over the years, T is a p×1 matrix, each row represents the weight value under the corresponding index of energy, economy or environment, and p is obtained through the historical data of the target region The number of indicators.

结合第一方面,本发明实施例提供了第一方面的第四种可能的实施方式,其中,所述根据目标地域的历年数据统计表,分析得出目标地域的能源发展速度Va、经济发展速度Vb和环境发展速度Vc还包括:In combination with the first aspect, the embodiment of the present invention provides a fourth possible implementation manner of the first aspect, wherein the energy development speed V a , the economic development Velocity V b and ambient development velocity V c also include:

按照如下公式计算能源、经济或环境标准指标数据的权重值,Calculate the weight value of energy, economic or environmental standard index data according to the following formula,

TT == ΣΣ jj == 11 KK TT jj ×× λλ jj ΣΣ ii == 11 KK λλ ii ,, (( ii == 11 ,, 22 ,, ...... KK )) ;;

TT ii jj == pp ii jj λλ jj ,, (( ii == 11 ,, 22 ,, ...... ,, pp ,, jj == 11 ,, 22 ,, ...... KK )) ;;

其中,Tj=(T1j,T2j,…Tij…Tpj)(j=1,2…K)表示从目标地域的历年数据统计表提取出的成分中,前K个主成分中第j主成分的权重,K为主成分的个数,T为能源、经济或环境标准指标数据的权重值,λk为主成分的特征根,p=(p1j,p2j,…pij,…ppj)(j=1,2,…K)为通过目标地域的历年数据统计表导出的因子载荷矩阵。Among them, T j =(T 1j ,T 2j ,...T ij ...T pj )(j=1,2...K) means that among the components extracted from the historical data statistics table of the target region, the first K principal components The weight of j principal components, K the number of principal components, T is the weight value of energy, economic or environmental standard index data, λ k is the characteristic root of the principal components, p=(p 1j ,p 2j ,…p ij , …p pj )(j=1,2,…K) is the factor loading matrix derived from the statistical tables of historical data in the target region.

结合第一方面,本发明实施例提供了第一方面的第五种可能的实施方式,其中,根据目标地域的历年数据统计表,分析得出目标地域的能源发展速度Va、经济发展速度Vb和环境发展速度Vc还包括:In combination with the first aspect, the embodiment of the present invention provides a fifth possible implementation of the first aspect, wherein, according to the historical data statistics table of the target region, the energy development speed V a and the economic development speed V a of the target region are analyzed and obtained. b and the environmental development velocity V c also include:

通过如下步骤计算经济标准指标数据;Calculate the economic standard indicator data through the following steps;

从目标地域的历年数据统计表中提取出包含有原始指标中的数据的矩阵;Extract the matrix containing the data in the original indicators from the historical data statistics table of the target region;

按照如下公式对原始指标中的数据进行标准化处理,其中,X=(Xi1,Xi2,…Xip)(i=1,2…,n)为包含有能源、经济或环境原始指标数据的矩阵,Z=(Zi1,Zi2,…Zip)(i=1,2,…n)为能源、经济或环境数据标准化的矩阵;Standardize the data in the original indicators according to the following formula, Among them, X=(X i1 ,X i2 ,…X ip )(i=1,2…,n) is a matrix containing original index data of energy, economy or environment, Z=(Z i1 ,Z i2 ,…Z ip ) (i=1,2,...n) is a standardized matrix of energy, economic or environmental data;

统计标准化后的标准化矩阵中每种数据,以得到能源、经济或环境标准指标数据。Statistically standardize each data in the standardized matrix to obtain energy, economic or environmental standard index data.

结合第一方面,本发明实施例提供了第一方面的第六种可能的实施方式,其中,根据目标地域的历年数据统计表,分析得出目标地域的能源发展速度Va、经济发展速度Vb和环境发展速度Vc还包括:In combination with the first aspect, the embodiment of the present invention provides a sixth possible implementation manner of the first aspect, wherein, according to the statistical tables of historical data of the target region, the energy development speed V a and the economic development speed V a of the target region are analyzed and obtained. b and the environmental development velocity V c also include:

依据标准化矩阵,计算其相关矩阵;According to the standardized matrix, calculate its correlation matrix;

计算相关矩阵的特征根;Calculate the characteristic root of the correlation matrix;

选择相关矩阵的特征根中,数值不为负数的特征根作为主成分的数值。Among the characteristic roots of the correlation matrix, the characteristic roots whose values are not negative are selected as the values of the principal components.

结合第一方面,本发明实施例提供了第一方面的第七种可能的实施方式,其中,还包括:With reference to the first aspect, the embodiment of the present invention provides a seventh possible implementation manner of the first aspect, which further includes:

建立带有椭球的三维坐标系,并将能源发展速度的数值、经济发展速度的数值和环境发展速度的数值带入到三维坐标系中,三维坐标系的X、Y和Z轴分别表示能源发展速度的数值、经济发展速度的数值和环境发展速度的数值;Establish a three-dimensional coordinate system with an ellipsoid, and bring the values of energy development speed, economic development speed and environmental development speed into the three-dimensional coordinate system. The X, Y and Z axes of the three-dimensional coordinate system represent energy Values for speed of development, speed of economic development and speed of environmental development;

根据带入后的三维坐标系的参数内容调整α、β和γ的计算方式,其中,α表示在能源与经济协调的情况下,环境与能源-经济的协调度,β表示在能源与环境系统协调的情况下,经济与能源-经济的协调度,γ表示经济与环境系统协调的情况下,能源与经济-环境的协调度。Adjust the calculation methods of α, β, and γ according to the parameters of the three-dimensional coordinate system brought in, where α represents the degree of coordination between the environment and energy-economy under the condition that energy and economy are coordinated, and β represents the degree of coordination between energy and the environment system In the case of coordination, the coordination degree of economy and energy-economy, γ indicates the coordination degree of energy and economy-environment in the case of coordination of economy and environment system.

第二方面,本发明实施例还提供了基于椭球模型的能源、经济和环境协调度计算装置,包括:In the second aspect, the embodiment of the present invention also provides an energy, economy and environment coordination degree calculation device based on an ellipsoid model, including:

获取模块,用于根据目标地域的历年数据统计表,分析得出目标地域的能源发展速度Va、经济发展速度Vb和环境发展速度VcThe acquisition module is used to analyze and obtain the energy development speed V a , the economic development speed V b and the environmental development speed V c of the target region according to the historical data statistics table of the target region;

计算模块,按照如下公式计算目标地域的能源、经济和环境协调度,The calculation module calculates the energy, economy and environmental coordination degree of the target region according to the following formula,

EE. (( VV aa ,, VV bb ,, VV cc )) == mm (( VV aa ,, VV bb )) ** αα ++ mm (( VV aa ,, VV cc )) ** ββ ++ mm (( VV bb ,, VV cc )) ** γγ mm (( VV aa ,, VV bb )) ++ mm (( VV aa ,, VV cc )) ++ mm (( VV bb ,, VV cc )) ;;

其中, Va为目标地域的能源发展速度,Vb为目标地域的经济发展速度,Vc为目标地域的环境发展速度。in, V a is the energy development speed of the target region, V b is the economic development speed of the target region, and V c is the environmental development speed of the target region.

结合第二方面,本发明实施例提供了第二方面的第一种可能的实施方式,其中,获取模块包括:With reference to the second aspect, the embodiment of the present invention provides a first possible implementation manner of the second aspect, wherein the acquisition module includes:

计算单元,用于按照如下公式计算目标地域的能源发展速度Va、经济发展速度Vb和环境发展速度VcThe calculation unit is used to calculate the energy development speed V a , the economic development speed V b and the environmental development speed V c of the target region according to the following formula:

VV aa == dd AA dd tt ,, VV bb == dd BB dd tt ,, VV cc == dd CC dd tt ;;

其中,t为历年数据统计表的统计年限,A、B和C分别是目标地域的能源、经济和环境的综合发展水平值的曲线拟合方程式。Among them, t is the statistical year of the historical data statistics table, and A, B, and C are the curve fitting equations of the comprehensive development level values of energy, economy, and environment in the target area, respectively.

本发明实施例提供的基于椭球模型的能源、经济和环境协调度计算方法,采用椭球模型分析的方式,与现有技术中使用正方体模型进行能源、经济和环境的协调度的分析和计算,使得计算出的协调度不够精确相比,其通过预先建立了椭球分析模型,并使用该椭球分析模型调整了在能源与经济协调的情况下,环境与能源-经济的协调度、在能源与环境系统协调的情况下,经济与能源-经济的协调度,以及经济与环境系统协调的情况下,能源与经济-环境的协调度。并最终使计算得出的能源、经济和环境协调度更为准确。The method for calculating the energy, economy and environment coordination degree based on the ellipsoid model provided by the embodiment of the present invention adopts the analysis method of the ellipsoid model, and uses the cube model in the prior art to analyze and calculate the coordination degree of energy, economy and environment , making the calculated degree of coordination inaccurate, compared with the established ellipsoid analysis model in advance, and using the ellipsoid analysis model to adjust the coordination degree of environment and energy-economy in the case of energy and economy coordination, in The degree of coordination of economy and energy-economy in the case of coordinated energy and environmental systems, and the degree of coordination of energy and economy-environment in the case of coordinated economic and environmental systems. And finally make the calculated energy, economy and environment coordination degree more accurate.

为使本发明的上述目的、特征和优点能更明显易懂,下文特举较佳实施例,并配合所附附图,作详细说明如下。In order to make the above-mentioned objects, features and advantages of the present invention more comprehensible, preferred embodiments will be described in detail below together with the accompanying drawings.

附图说明Description of drawings

为了更清楚地说明本发明实施例的技术方案,下面将对实施例中所需要使用的附图作简单地介绍,应当理解,以下附图仅示出了本发明的某些实施例,因此不应被看作是对范围的限定,对于本领域普通技术人员来讲,在不付出创造性劳动的前提下,还可以根据这些附图获得其他相关的附图。In order to illustrate the technical solutions of the embodiments of the present invention more clearly, the accompanying drawings used in the embodiments will be briefly introduced below. It should be understood that the following drawings only show some embodiments of the present invention, and thus It should be regarded as a limitation on the scope, and those skilled in the art can also obtain other related drawings based on these drawings without creative work.

图1示出了相关技术中,能源、经济、环境三者之间的耦合关系的模块化示意图;Figure 1 shows a modular schematic diagram of the coupling relationship between energy, economy and environment in related technologies;

图2示出了本发明实施例所提供的能源-经济演化发展关系轨迹示意图;Fig. 2 shows a schematic diagram of the trajectory of the energy-economic evolution relationship provided by the embodiment of the present invention;

图3示出了本发明实施例所提供的能源-经济-环境演化发展轨迹示意图。Fig. 3 shows a schematic diagram of the energy-economy-environment evolution track provided by the embodiment of the present invention.

具体实施方式detailed description

下面将结合本发明实施例中附图,对本发明实施例中的技术方案进行清楚、完整地描述,显然,所描述的实施例仅仅是本发明一部分实施例,而不是全部的实施例。通常在此处附图中描述和示出的本发明实施例的组件可以以各种不同的配置来布置和设计。因此,以下对在附图中提供的本发明的实施例的详细描述并非旨在限制要求保护的本发明的范围,而是仅仅表示本发明的选定实施例。基于本发明的实施例,本领域技术人员在没有做出创造性劳动的前提下所获得的所有其他实施例,都属于本发明保护的范围。The following will clearly and completely describe the technical solutions in the embodiments of the present invention with reference to the accompanying drawings in the embodiments of the present invention. Obviously, the described embodiments are only some, not all, embodiments of the present invention. The components of the embodiments of the invention generally described and illustrated in the figures herein may be arranged and designed in a variety of different configurations. Accordingly, the following detailed description of the embodiments of the invention provided in the accompanying drawings is not intended to limit the scope of the claimed invention, but merely represents selected embodiments of the invention. Based on the embodiments of the present invention, all other embodiments obtained by those skilled in the art without making creative efforts belong to the protection scope of the present invention.

相关技术中,进行能源、经济和环境的协调度的分析和计算时,采用的是正方体模型。但申请人发现使用此种模型进行分析和计算,计算得出的协调度是不够准确的。进而,申请人提供了一种使用椭球模型进行分析和计算协调度的方法。In related technologies, when analyzing and calculating the coordination degree of energy, economy and environment, a cube model is adopted. However, the applicant found that the degree of coordination calculated by using this model for analysis and calculation is not accurate enough. Further, the applicant provides a method for analyzing and calculating the degree of coordination using the ellipsoid model.

下面,首先对计算综合发展水平的数值所使用到的公式进行说明。In the following, the formula used to calculate the value of the comprehensive development level will be explained first.

步骤1,一般情况下,进行协调度计算的基础是目标地域的历年数据统计表,可以从统计表中直接提取出包含有原始指标中的数据的矩阵,之后要对该矩阵进行标准化处理。其中,包含有原始指标中的数据的矩阵如下矩阵所示:矩阵中的每个元素均是原始指标中的数据。Step 1. In general, the basis for calculating the degree of coordination is the statistical table of historical data in the target region. The matrix containing the data in the original index can be directly extracted from the statistical table, and then the matrix should be standardized. Among them, the matrix containing the data in the original indicator is shown in the following matrix: Each element in the matrix is data from the original indicator.

具体而言,可以按照如下公式进行标准化处理:Specifically, standardization can be performed according to the following formula:

其中,n是样本(方案)数量,p是评价指标X1,X2,…,Xp,矩阵X表示原始指标中的数据,矩阵Z表示标准化的数据。生成的标准化矩阵如下: Among them, n is the number of samples (plans), p is the evaluation index X 1 , X 2 ,...,X p , the matrix X represents the data in the original index, and the matrix Z represents the standardized data. The resulting standardized matrix is as follows:

步骤2,要依据标准化矩阵计算出相关矩阵R。计算方式如下:Step 2 is to calculate the correlation matrix R based on the standardized matrix. It is calculated as follows:

R=(rjk)p×p,j,k=1,2,…,p公式3;其中,rjk为第j指标与第k指标的相关系数。R=(r jk ) p×p , j,k=1,2,...,p Formula 3; where, r jk is the correlation coefficient between the jth index and the kth index.

进一步,且有rjj=1,rjk=rkj 公式4;further, And there are r jj = 1, r jk = r kj formula 4;

步骤3,需要求解相关矩阵R的特征根。其中,R的特征方程为In step 3, the characteristic root of the correlation matrix R needs to be solved. Among them, the characteristic equation of R is

|R-λI|=0 公式5;|R-λI|=0 Formula 5;

λi(i=1,2,…p)表示R的非负特征根。并通过如下公式确认出主成分:λ i (i=1,2,...p) represents the non-negative characteristic root of R. And confirm the principal components by the following formula:

λi(i=1,2,…p)>1 公式6;λ i (i=1,2,…p)>1 Formula 6;

取特征根大于1的个数为K,取前K个特征根为主成分的特征值。The number of characteristic roots greater than 1 is taken as K, and the first K characteristic roots are taken as the eigenvalues of the main components.

步骤4,计算出因子载荷矩阵pij,并求出特征向量矩阵:Step 4, calculate the factor loading matrix p ij , and find the eigenvector matrix:

其中,对应的特征向量Tj=(T1j,T2j,…,Tij,…Tpj)(j=1,2…K)表示前K主成分中第j主成分的权重。 Wherein , the corresponding feature vector T j =(T 1j , T 2j , . . . , T ij , .

之后,计算标准指标数据的综合权重:Afterwards, the composite weight of the standard indicator data is calculated:

其中T表示综合权重,K为主成分的个数,Where T represents the comprehensive weight, K is the number of main components,

最后,在步骤1计算出标准指标数据,在步骤8计算出综合权重后,可以按照如下方式计算综合发展水平的数值:Finally, after calculating the standard indicator data in step 1 and calculating the comprehensive weight in step 8, the value of the comprehensive development level can be calculated as follows:

F=Z×T 公式9;F=Z×T Formula 9;

其中,F为n×1矩阵,每一行表示对应年份下能源、经济、环境综合发展水平的数值,n为通过目标地域的历年数据得到的年份个数;Z为n×p矩阵,表示通过目标地域的历年数据统计表计算出的能源、经济或环境标准指标数据,T为p×1矩阵,每一行表示能源、经济或环境对应指标下的权重值,p为通过目标地域的历年数据得到的指标个数。Among them, F is an n×1 matrix, each row represents the value of the comprehensive development level of energy, economy and environment in the corresponding year, n is the number of years obtained through the historical data of the target area; The energy, economic or environmental standard index data calculated from the statistical table of regional data over the years, T is a p×1 matrix, each row represents the weight value under the corresponding index of energy, economy or environment, and p is obtained through the historical data of the target region The number of indicators.

与上述步骤相对应的,下面还提供了结合实际数据的实例。Corresponding to the above steps, an example of combining actual data is also provided below.

步骤1,运用公式(1)和公式(2)对原始数据进行标准化。(原始数据X如表1),实例中选取了经济当中的12个指标,即n=12,p=12,计算得出标准化矩阵数据(矩阵Z)。Step 1, use formula (1) and formula (2) to standardize the original data. (The original data X is shown in Table 1). In the example, 12 indicators in the economy were selected, namely n=12, p=12, and the standardized matrix data (matrix Z) was calculated.

表1原始数据(矩阵X)Table 1 Raw data (matrix X)

表2标准化数据(矩阵Z)Table 2 Standardized Data (Matrix Z)

步骤2,由公式(3)和公式(4)式计算样本相关矩阵R。本步骤可以有SPSS软件执行。Step 2, calculate the sample correlation matrix R by formula (3) and formula (4). This step can be performed with SPSS software.

表3相关系数矩阵RTable 3 Correlation coefficient matrix R

步骤3.使用SPSS软件,根据公式(5)求相关矩阵R的特征根。由公式(6)可知取2个主成分,即K=2。Step 3. Use SPSS software to find the characteristic root of correlation matrix R according to formula (5). It can be seen from the formula (6) that two principal components are taken, that is, K=2.

表4相关矩阵R的特征根λi Table 4 Characteristic root λ i of correlation matrix R

步骤4.使用SPSS软件得出因子载荷矩阵pij如表5,运用公式(7)求特征向量矩阵,即为第一主成分和第二主成分的权重,运用公式(8)得出综合权重,如表6所示。Step 4. Use SPSS software to obtain the factor loading matrix p ij as shown in Table 5, use the formula (7) to find the eigenvector matrix, which is the weight of the first principal component and the second principal component, and use the formula (8) to obtain the comprehensive weight , as shown in Table 6.

表5初始因子载荷矩阵pij Table 5 initial factor loading matrix p ij

表6经济系统综合主成分权重Table 6 Economic system comprehensive principal component weight

步骤5.根据表4的权重,运用公式(9)求第一主成分和第二主成分的得分值,运用公式(10)计算综合发展水平值,如表7所示。Step 5. According to the weights in Table 4, use formula (9) to find the scores of the first principal component and the second principal component, and use formula (10) to calculate the comprehensive development level value, as shown in Table 7.

表7经济系统综合主成分值Table 7 Comprehensive principal component values of the economic system

类似的,可以得到能源和环境的各权重和发展水平如下表所示。Similarly, the weights and development levels of energy and environment can be obtained as shown in the table below.

表8能源系统综合主成分权重Table 8 Energy system comprehensive principal component weights

表9环境系统权重Table 9 Environmental System Weights

表10能源系统综合主成分值Table 10 Comprehensive principal component values of the energy system

年份years 第一主成分F1First Principal Component F1 第二主成分F2The second principal component F2 综合得分overall ratings 20032003 -4.304-4.304 -0.943-0.943 -3.830-3.830 20042004 -3.767-3.767 -0.067-0.067 -3.245-3.245 20052005 -2.691-2.691 0.9410.941 -2.178-2.178 20062006 -1.816-1.816 1.5271.527 -1.344-1.344 20072007 -0.408-0.408 0.7910.791 -0.239-0.239 20082008 0.8670.867 -2.003-2.003 0.4610.461 20092009 1.1681.168 -1.403-1.403 0.8060.806 20102010 1.4511.451 -0.105-0.105 1.2311.231 20112011 2.6532.653 -0.607-0.607 2.1932.193 20122012 3.1513.151 0.8530.853 2.8272.827 20132013 3.6963.696 1.0181.018 3.3183.318 20142014 -4.304-4.304 -0.943-0.943 -3.830-3.830

表11环境系统综合主成分值Table 11 Comprehensive principal component value of environmental system

在计算出综合发展水平的数值后,便可以通过微分的方式计算目标地域的能源发展速度Va、经济发展速度Vb和环境发展速度VcAfter calculating the value of the comprehensive development level, the energy development speed V a , the economic development speed V b and the environmental development speed V c of the target area can be calculated by means of differentiation:

其中,t为所述历年数据统计表的统计年限,A、B和C分别是目标地域的能源、经济和环境的综合发展水平值的曲线拟合方程式。Among them, t is the statistical year of the statistical table of historical data, and A, B and C are the curve fitting equations of the comprehensive development level values of energy, economy and environment in the target area respectively.

最后,将计算得出的目标地域的能源发展速度Va、经济发展速度Vb和环境发展速度Vc带入到使用椭球模型分析得出的公式中,即可得出目标地域的能源、经济和环境协调度。Finally, put the calculated energy development speed V a , economic development speed V b and environmental development speed V c of the target region into the formula obtained by using the ellipsoid model to obtain the target region’s energy, Economic and environmental coordination.

具体的计算公式如下:The specific calculation formula is as follows:

其中, Va为目标地域的能源发展速度,Vb为目标地域的经济发展速度,Vc为目标地域的环境发展速度。in, V a is the energy development speed of the target region, V b is the economic development speed of the target region, and V c is the environmental development speed of the target region.

下面,对得出公式11的过程进行说明:Next, the process of obtaining formula 11 is described:

按照耦合系统理论,3E系统的耦合关系是能源、经济和环境系统之间以及内部诸要素之间的相互影响、相互依存的客观表征,它刻划了某一时间阶段内3E系统发展演变趋向或态势。如3E系统结构中,生态环境系统的承载能力和供容能力以及能源系统的挖掘能力和驱动能力在某种程度上来说,是十分有限的,这就决定了经济系统的过快发展必然导致能源的过渡损耗以及生态环境系统的损害。反之,能源系统和环境系统也将通过资源短缺、环境污染以及政府干预等方式制约并减缓经济系统的发展速度。能源、经济、环境三者之间的耦合关系图如图1所示。According to the coupled system theory, the coupling relationship of the 3E system is an objective representation of the mutual influence and interdependence among the energy, economic and environmental systems and among the internal elements. situation. For example, in the 3E system structure, the carrying capacity and supply capacity of the ecological environment system, as well as the excavation capacity and driving capacity of the energy system are very limited to some extent, which determines that the excessive development of the economic system will inevitably lead to energy Transition loss and damage to the ecological environment system. Conversely, the energy system and the environmental system will also restrict and slow down the development of the economic system through resource shortages, environmental pollution, and government intervention. The coupling relationship between energy, economy and environment is shown in Figure 1.

在分析了3E系统间组成要素关系的基础上,借鉴一般系统学中的动态发展思想,定义能源、经济和环境的非线性系统演化方程(公式12,即其中,中表示能源、经济、环境综合发展指数的变化速度,x1,x2,…,xn(i=1,2,…n)表示能源、经济、环境子系统的指标),(公式13,即f(x1,x2,…,xn)=f(0)+a1x1+a2x2+…+anxn+θ(x1,x2,…,xn))是对(公式12)的推导,结合公式12和13得出近似线性系统(公式14,即)。On the basis of analyzing the relationship between the constituent elements of the 3E system, referring to the dynamic development idea in general systematics, the nonlinear system evolution equation of energy, economy and environment is defined (formula 12, namely Among them, in Indicates the change speed of the comprehensive development index of energy, economy and environment, x 1 , x 2 ,...,x n (i=1,2,...n) represent the index of energy, economy and environment subsystem), (Formula 13, namely f(x 1 ,x 2 ,…,x n )=f(0)+a 1 x 1 +a 2 x 2 +…+a n x n +θ(x 1 ,x 2 ,…,x n )) is the derivation of (Equation 12), combining Equations 12 and 13 to obtain an approximate linear system (Equation 14, namely ).

根据微分方程描述非线性系统的思想,构建能源、经济、环境非线性系统的一般函数(公式15、16、17,即 其中,f(Ener)表示能源系统,f(Eco)表示经济系统,f(Envi)表示环境系统。其中,xi,yj,zk分别是能源、经济、环境系统中的指标,ai,bj,ck分别是各指标的影响权重)。According to the idea of describing nonlinear systems by differential equations, construct general functions of energy, economy, and environment nonlinear systems (formulas 15, 16, 17, namely Among them, f(Ener) represents the energy system, f(Eco) represents the economic system, and f(Envi) represents the environmental system. Among them, x i , y j , z k are indicators in energy, economy, and environment systems respectively, and a i , b j , c k are the influence weights of each indicator respectively).

3E系统作为一个统一的整体,整个3E系统只有3个元素f(Ener),f(Eco),f(Envi),故可以建立整个3E系统的演化发展方程形式为(公式18、19、20,即As a unified whole, the 3E system has only three elements f(Ener), f(Eco), and f(Envi), so the evolution equation of the whole 3E system can be established in the form of (formula 18, 19, 20, which is

其中,A,B,C分别表示受自身系统内及外部系统影响的能源、经济、环境系统的综合发展水平曲线。 Among them, A, B, and C represent the comprehensive development level curves of energy, economy, and environmental systems affected by their own system and external systems, respectively.

能源、经济、环境演化发展系统和时间推移有密切的关系,因此,以时间t为变量,定义各子系统的演变速度,得出公式(10)。The energy, economy, and environmental evolution development systems are closely related to the passage of time. Therefore, taking time t as a variable to define the evolution speed of each subsystem, the formula (10) is obtained.

Va是能源系统的演化发展速度,Vb是经济系统的演化发展速度,Vc是环境系统的演化发展速度。那么V3e就可以看作是Va、Vb、Vc的函数,即V3e=g(Va,Vb,Vc)。假定经济系统的变化是具有周期性的,因此与经济系统相关的能源系统和环境系统也会出现周期性。由于V3e=g(Va,Vb,Vc)发展关系的存在,可以从系统发展速度的角度,在一个三维的直角坐标系中分析三者的变化关系。因为经济系统的发展对能源系统和环境系统具有一定的约束作用,且经济系统发展比能源系统和环境系统的变化幅度大,而能源系统又比环境系统的变化幅度大,因此三个子系统之间两两呈椭圆形的变化轨迹,在三维空间中形成了一个椭球形的作用关系轨迹。V a is the evolution and development speed of the energy system, V b is the evolution and development speed of the economic system, and V c is the evolution and development speed of the environmental system. Then V 3e can be regarded as a function of V a , V b , and V c , that is, V 3e =g(V a , V b , V c ). It is assumed that changes in the economic system are cyclical, so the energy system and environmental system related to the economic system will also be cyclical. Due to the existence of the development relationship of V 3e =g(V a , V b , V c ), the relationship between the three changes can be analyzed in a three-dimensional Cartesian coordinate system from the perspective of system development speed. Because the development of the economic system has a certain restrictive effect on the energy system and the environmental system, and the development of the economic system has a greater range of change than the energy system and the environmental system, and the energy system has a greater range of change than the environmental system, so the relationship between the three subsystems Two pairs of elliptical change tracks form an ellipsoidal action relationship track in three-dimensional space.

椭球在各平面的投影,形成二元系统的演化发展关系轨迹,即椭圆。如椭球在Va-Vb平面的投影为一个椭圆,也即能源-经济演化发展关系轨迹图,如图2所示。The projection of the ellipsoid on each plane forms the trajectory of the evolution and development relationship of the binary system, that is, the ellipse. For example, the projection of the ellipsoid on the V a -V b plane is an ellipse, that is, the trajectory diagram of the relationship between energy and economic evolution, as shown in Figure 2.

图2反映了能源-经济的演化发展关系轨迹图,假设点A为能源经济发展速度在平面上的点,能源系统与经济系统的演化发展状态以及协调发展的耦合度可以用角a表示,从图中可以看出(即公式11),那么(即公式11)。角a也可以看做关于Va与Vb的函数,记做m(Va,Vb)。则Va与Vc的夹角用b表示,Vb与Vc的夹角用c表示,能源与环境、经济与环境的耦合度函数可以分别记为m(Va,Vc)、m(Vb,Vc)。Figure 2 reflects the trajectory diagram of the evolution and development relationship between energy and economy. Assuming that point A is the point on the plane where the development speed of energy economy is on the plane, the evolution and development status of energy system and economic system and the coupling degree of coordinated development can be expressed by angle a, from It can be seen in the figure (i.e. Equation 11), then (ie Equation 11). Angle a can also be regarded as a function of V a and V b , denoted as m(V a , V b ). Then the angle between V a and V c is denoted by b, the angle between V b and V c is denoted by c, and the coupling degree functions of energy and environment, economy and environment can be recorded as m(V a , V c ), m (V b , V c ).

三维坐标系如下图所示。The three-dimensional coordinate system is shown in the figure below.

图3反映了能源-经济-环境演化发展轨迹。假设点A为能源、经济、环境发展速度在三维立体坐标上的一个点,从图中可以看出,OA与平面Va-Vb的夹角是α,α就表示在能源与经济协调的情况下,环境与能源-经济的协调度。因此,将OA与平面Va-Vc的夹角和平面Vb-Vc的夹角记为β和γ,β表示在能源与环境系统协调的情况下,经济与能源-经济的协调度,γ表示经济与环境系统协调的情况下,能源与经济-环境的协调度。从图中可以看出同理。 (公式11)。Figure 3 reflects the evolution trajectory of energy-economy-environment. Assuming that point A is a point on the three-dimensional coordinates of energy, economy, and environment development speed, it can be seen from the figure that the angle between OA and plane V a -V b is α, and α represents the coordination between energy and economy. Under the circumstances, the degree of coordination between environment and energy-economy. Therefore, the angle between OA and plane V a -V c and the angle between plane V b -V c are recorded as β and γ, and β represents the coordination degree of economy and energy-economy under the condition of energy and environmental system coordination , γ indicates the coordination degree of energy and economy-environment under the condition that economy and environment system are coordinated. It can be seen from the figure the same way. (Formula 11).

因此,得出结论:能源与经济系统协调的情况下,环境与能源-经济的协调度:能源与环境系统协调的情况下,经济与能源-经济的协调度:经济与环境系统协调的情况下,能源与经济-环境的协调度:(公式11)Therefore, it is concluded that in the case of energy and economic system coordination, the degree of coordination between the environment and energy-economy: In the case of energy and environmental system coordination, the degree of coordination of economy and energy-economy: In the case of coordinated economic and environmental systems, the coordination degree of energy and economy-environment: (Formula 11)

由于3E整体的协调度和三个子元素密不可分,不仅要考虑能源、经济、环境两两之间的协调关系,还要考虑三者相互之间的作用关系。所以本文以能源-经济,能源-环境,经济-环境的协调度为权重,求α,β,γ的加权平均数作为3E系统协调度。构建的协调度公式为Since the overall coordination degree of 3E is inseparable from the three sub-elements, not only the coordination relationship between energy, economy and environment, but also the interaction among them should be considered. Therefore, this paper takes the energy-economy, energy-environment, and economy-environment coordination degree as the weight, and finds the weighted average of α, β, and γ as the 3E system coordination degree. The constructed coordination formula is

下面,以一个具体的实例,来说明使用本申请所提供的方法进行计算的合理性。Next, a specific example is used to illustrate the rationality of calculation using the method provided in this application.

步骤1,基础参数获取,Step 1, basic parameter acquisition,

首先,根据指标体系建立的科学性、系统性、综合性、层次性、区域性原则,从深度和广度两个方向,借鉴协调发展指标体系已有的研究成果,建立北京市能源、经济、环境协调发展指标体系。根据指标数据的可获取性,选取北京市2003~2014年的数据进行计算,数据均来自《国家统计年鉴》、《北京市统计年鉴》和《国家统计局》。如表12、13、14分别为能源、经济、环境系统指标及数据。First of all, according to the scientific, systematic, comprehensive, hierarchical and regional principles of the establishment of the index system, from the two directions of depth and breadth, drawing on the existing research results of the coordinated development index system, establish the Beijing energy, economy, environment Coordinate the development of the indicator system. According to the availability of indicator data, the data of Beijing from 2003 to 2014 are selected for calculation. The data are all from the "National Statistical Yearbook", "Beijing Statistical Yearbook" and "National Bureau of Statistics". Tables 12, 13, and 14 are the indicators and data of energy, economy, and environment systems respectively.

表12 2003~2014年北京市能源系统指标及数据Table 12 Indicators and data of energy system in Beijing from 2003 to 2014

表13 2003~2014年北京市经济系统指标及数据Table 13 Indicators and data of Beijing's economic system from 2003 to 2014

表14 2003~2014年北京市环境系统指标及数据Table 14 Indicators and data of Beijing's environmental system from 2003 to 2014

步骤2,计算,采用主成分分析法确定指标的权重,根据公式4、5、6计算出能源、经济、环境的综合发展水平,结果如表15所示。Step 2, calculation, uses the principal component analysis method to determine the weight of the indicators, and calculates the comprehensive development level of energy, economy, and environment according to formulas 4, 5, and 6. The results are shown in Table 15.

表15能源、经济、环境综合发展水平Table 15 Comprehensive development level of energy, economy and environment

分别将2003~2014年能源、经济、环境综合发展水平三条曲线进行多项式拟合,得到能源、经济、环境演化拟合表达式:The three curves of comprehensive development levels of energy, economy and environment from 2003 to 2014 were respectively polynomially fitted to obtain the evolution fitting expressions of energy, economy and environment:

f(Ener)=0.9056t+0.0019t2-0.0016t3-4.8909,拟合度R2=0.99;f(Ener)=0.9056t+0.0019t 2 -0.0016t 3 -4.8909, fitting degree R 2 =0.99;

f(Eco)=-0.2208t+0.1915t2-0.0103t3-3.4066,拟合度R2=0.99;f(Eco)=-0.2208t+0.1915t 2 -0.0103t 3 -3.4066, the fitting degree R 2 =0.99;

f(Envi)=-0.1235t-0.1477t2+0.0094t3-3.7978,拟合度R2=0.98;f(Envi)=-0.1235t-0.1477t 2 +0.0094t 3 -3.7978, fitting degree R 2 =0.98;

利用公式10,计算:Using Equation 10, calculate:

Vα=0.9056+0.0038t-0.0048t2V α =0.9056+0.0038t-0.0048t 2 ;

Vβ=-0.2208+0.3830t-0.0309t2V β =-0.2208+0.3830t-0.0309t 2 ;

Vγ=-0.1235-0.2954t+0.0282t2V γ =-0.1235-0.2954t+0.0282t 2 ;

其中t的取值范围为1~12,对应2003~2014年。The range of t is 1 to 12, corresponding to 2003 to 2014.

然后,然后采用公式11可以得出能源-经济-环境三元耦合度的值。以下能源-经济-环境耦合度一览表,以下仅将2007年-2014年的结果以表格的形式列出。Then, formula 11 can be used to obtain the value of the energy-economy-environment ternary coupling degree. The following is a list of energy-economy-environmental coupling, and only the results from 2007 to 2014 are listed in tabular form.

表16能源-经济-环境耦合度一览表Table 16 List of Energy-Economy-Environmental Coupling Degrees

与前文中所提供的方法相对应的,本申请实施例还提供了基于椭球模型的能源、经济和环境协调度计算装置,包括:Corresponding to the method provided above, the embodiment of the present application also provides an ellipsoid model-based energy, economy and environmental coordination degree calculation device, including:

获取模块,用于根据目标地域的历年数据统计表,分析得出目标地域的能源发展速度Va、经济发展速度Vb和环境发展速度VcThe acquisition module is used to analyze and obtain the energy development speed V a , the economic development speed V b and the environmental development speed V c of the target region according to the historical data statistics table of the target region;

计算模块,按照如下公式计算目标地域的能源、经济和环境协调度,The calculation module calculates the energy, economy and environmental coordination degree of the target region according to the following formula,

EE. (( VV aa ,, VV bb ,, VV cc )) == mm (( VV aa ,, VV bb )) ** αα ++ mm (( VV aa ,, VV cc )) ** ββ ++ mm (( VV bb ,, VV cc )) ** γγ mm (( VV aa ,, VV bb )) ++ mm (( VV aa ,, VV cc )) ++ mm (( VV bb ,, VV cc )) ;;

其中, Va为目标地域的能源发展速度,Vb为目标地域的经济发展速度,Vc为目标地域的环境发展速度。in, V a is the energy development speed of the target region, V b is the economic development speed of the target region, and V c is the environmental development speed of the target region.

所属领域的技术人员可以清楚地了解到,为描述的方便和简洁,上述描述的系统、装置和单元的具体工作过程,可以参考前述方法实施例中的对应过程,在此不再赘述。Those skilled in the art can clearly understand that for the convenience and brevity of the description, the specific working process of the above-described system, device and unit can refer to the corresponding process in the foregoing method embodiment, which will not be repeated here.

以上所述,仅为本发明的具体实施方式,但本发明的保护范围并不局限于此,任何熟悉本技术领域的技术人员在本发明揭露的技术范围内,可轻易想到变化或替换,都应涵盖在本发明的保护范围之内。因此,本发明的保护范围应所述以权利要求的保护范围为准。The above is only a specific embodiment of the present invention, but the scope of protection of the present invention is not limited thereto. Anyone skilled in the art can easily think of changes or substitutions within the technical scope disclosed in the present invention. Should be covered within the protection scope of the present invention. Therefore, the protection scope of the present invention should be based on the protection scope of the claims.

Claims (10)

1.基于椭球模型的能源、经济和环境协调度计算方法,其特征在于,包括:1. The calculation method of energy, economy and environment coordination degree based on ellipsoidal model, is characterized in that, comprises: 根据目标地域的历年数据统计表,分析得出目标地域的能源发展速度Va、经济发展速度Vb和环境发展速度VcAccording to the statistical table of historical data of the target area, analyze and obtain the energy development speed V a , the economic development speed V b and the environmental development speed V c of the target area; 按照如下公式计算目标地域的能源、经济和环境协调度,Calculate the energy, economy and environment coordination degree of the target region according to the following formula, EE. (( VV aa ,, VV bb ,, VV cc )) == mm (( VV aa ,, VV bb )) ** αα ++ mm (( VV aa ,, VV cc )) ** ββ ++ mm (( VV bb ,, VV cc )) ** γγ mm (( VV aa ,, VV bb )) ++ mm (( VV aa ,, VV cc )) ++ mm (( VV bb ,, VV cc )) ;; 其中, Va为目标地域的能源发展速度,Vb为目标地域的经济发展速度,Vc为目标地域的环境发展速度。in, V a is the energy development speed of the target region, V b is the economic development speed of the target region, and V c is the environmental development speed of the target region. 2.根据权利要求1所述的方法,其特征在于,所述根据目标地域的历年数据统计表,分析得出目标地域的能源发展速度Va、经济发展速度Vb和环境发展速度Vc包括:2. The method according to claim 1, characterized in that, according to the historical data statistics table of the target area, the energy development speed V a , the economic development speed V b and the environment development speed V c of the target area are analyzed and include : 按照如下公式计算目标地域的能源发展速度Va、经济发展速度Vb和环境发展速度VcCalculate the energy development speed V a , the economic development speed V b and the environmental development speed V c of the target area according to the following formula: VV aa == dd AA dd tt ,, VV bb == dd BB dd tt ,, VV cc == dd CC dd tt ;; 其中,t为所述历年数据统计表的统计年限,A、B和C分别是目标地域的能源、经济和环境的综合发展水平值的曲线拟合方程式。Among them, t is the statistical year of the statistical table of historical data, and A, B and C are the curve fitting equations of the comprehensive development level values of energy, economy and environment in the target region respectively. 3.根据权利要求2所述的方法,其特征在于,所述根据目标地域的历年数据统计表,分析得出目标地域的能源发展速度Va、经济发展速度Vb和环境发展速度Vc还包括:采用主成分分析法,确定目标地域的经济系统中经济标准指标数据以及所述经济标准指标数据的权重值,并确定目标地域的能源系统中能源标准指标数据以及上述能源标准指标数据的权重值,并确定目标地域的环境系统中环境标准指标数据以及所述环境标准指标数据的权重值;3. The method according to claim 2, characterized in that, according to the statistical table of historical data of the target area, the energy development speed V a , the economic development speed V b and the environment development speed V c of the target area are analyzed and obtained. Including: using the principal component analysis method to determine the economic standard index data in the economic system of the target region and the weight value of the economic standard index data, and determine the energy standard index data in the energy system of the target region and the weight of the above energy standard index data value, and determine the weight value of the environmental standard index data and the environmental standard index data in the environmental system of the target region; 采用加权计算的方式,根据确定出的经济标准指标数据的数值以及经济标准指标数据的权重值计算出目标地域的经济综合发展水平的数值,并采用拟合的方式计算出经济的综合发展水平值的曲线拟合方程式;Using the method of weighted calculation, the value of the comprehensive economic development level of the target region is calculated according to the value of the determined economic standard index data and the weight value of the economic standard index data, and the value of the comprehensive economic development level of the target area is calculated by a fitting method The curve fitting equation of ; 采用加权计算的方式,根据确定出的能源标准指标数据的数值以及能源标准指标数据的权重值计算出目标地域的能源综合发展水平的数值,并采用拟合的方式计算出能源的综合发展水平值的曲线拟合方程式;Using the method of weighted calculation, according to the value of the determined energy standard index data and the weight value of the energy standard index data, the value of the comprehensive energy development level of the target area is calculated, and the value of the comprehensive development level of energy is calculated by a fitting method The curve fitting equation of ; 采用加权计算的方式,根据确定出的环境标准指标数据的数值以及环境标准指标数据的权重值计算出目标地域的环境综合发展水平的数值,并采用拟合的方式计算出环境的综合发展水平值的曲线拟合方程式。Using the method of weighted calculation, according to the value of the determined environmental standard index data and the weight value of the environmental standard index data, the value of the comprehensive environmental development level of the target area is calculated, and the value of the comprehensive development level of the environment is calculated by a fitting method The curve fitting equation for . 4.根据权利要求3所述的方法,其特征在于,所述根据目标地域的历年数据统计表,分析得出目标地域的能源发展速度Va、经济发展速度Vb和环境发展速度Vc还包括:4. The method according to claim 3, characterized in that, according to the historical data statistics table of the target area, the energy development speed V a , the economic development speed V b and the environment development speed V c of the target area are analyzed and obtained. include: 按照如下公式分别计算能源、经济、环境综合发展水平的数值,According to the following formulas, the values of comprehensive development levels of energy, economy and environment are calculated respectively, F=Z×T;F=Z×T; 其中,F为n×1矩阵,每一行表示对应年份下能源、经济、环境综合发展水平的数值,n为通过目标地域的历年数据得到的年份个数;Z为n×p矩阵,表示通过目标地域的历年数据统计表计算出的能源、经济或环境标准指标数据,T为p×1矩阵,每一行表示能源、经济或环境对应指标下的权重值,p为通过目标地域的历年数据得到的指标个数。Among them, F is an n×1 matrix, each row represents the value of the comprehensive development level of energy, economy and environment in the corresponding year, n is the number of years obtained through the historical data of the target area; The energy, economic or environmental standard index data calculated from the statistical table of regional data over the years, T is a p×1 matrix, each row represents the weight value under the corresponding index of energy, economy or environment, and p is obtained through the historical data of the target region The number of indicators. 5.根据权利要求4所述的方法,其特征在于,所述根据目标地域的历年数据统计表,分析得出目标地域的能源发展速度Va、经济发展速度Vb和环境发展速度Vc还包括:5. The method according to claim 4, characterized in that, according to the statistical table of historical data of the target area, the energy development speed V a , the economic development speed V b and the environment development speed V c of the target area are analyzed or obtained. include: 按照如下公式计算能源、经济或环境标准指标数据的权重值,Calculate the weight value of energy, economic or environmental standard index data according to the following formula, TT == ΣΣ jj == 11 KK TT jj ×× λλ jj ΣΣ ii == 11 KK λλ ii ,, (( ii == 11 ,, 22 ,, ...... KK )) ;; TT ii jj == pp ii jj λλ jj ,, (( ii == 11 ,, 22 ,, ...... ,, pp ,, jj == 11 ,, 22 ,, ...... KK )) ;; 其中,Tj=(T1j,T2j,…Tij…Tpj)(j=1,2…K)表示从目标地域的历年数据统计表提取出的成分中,前K个主成分中第j主成份的权重,K为主成分的个数,T为能源、经济或环境标准指标数据的权重值,λk为主成分的特征根,p=(p1j,p2j,…pij,…ppj)(j=1,2,…K)为通过目标地域的历年数据统计表导出的因子载荷矩阵。Among them, T j =(T 1j ,T 2j ,...T ij ...T pj )(j=1,2...K) means that among the components extracted from the statistical tables of historical data in the target region, the first K principal components The weight of j principal components, K the number of principal components, T is the weight value of energy, economic or environmental standard index data, λ k is the characteristic root of principal components, p=(p 1j ,p 2j ,…p ij , …p pj )(j=1,2,…K) is the factor loading matrix derived from the statistical tables of historical data in the target area. 6.根据权利要求5所述的方法,其特征在于,所述根据目标地域的历年数据统计表,分析得出目标地域的能源发展速度Va、经济发展速度Vb和环境发展速度Vc还包括:6. The method according to claim 5, characterized in that, the energy development speed V a , the economic development speed V b and the environmental development speed V c of the target area are analyzed according to the historical data statistical tables of the target area. include: 通过如下步骤计算经济标准指标数据;Calculate the economic standard indicator data through the following steps; 从目标地域的历年数据统计表中提取出包含有原始指标中的数据的矩阵;Extract the matrix containing the data in the original indicators from the historical data statistics table of the target region; 按照如下公式对原始指标中的数据进行标准化处理,其中,X=(Xi1,Xi2,…Xip)(i=1,2…,n)为包含有能源、经济或环境原始指标数据的矩阵,Z=(Zi1,Zi2,…Zip)(i=1,2,…n)为能源、经济或环境数据标准化的矩阵;Standardize the data in the original indicators according to the following formula, Among them, X=(X i1 ,X i2 ,…X ip )(i=1,2…,n) is a matrix containing original index data of energy, economy or environment, Z=(Z i1 ,Z i2 ,…Z ip ) (i=1,2,...n) is a standardized matrix of energy, economic or environmental data; 统计标准化后的标准化矩阵中每种数据,以得到能源、经济或环境标准指标数据。Statistically standardize each data in the standardized matrix to obtain energy, economic or environmental standard index data. 7.根据权利要求6所述的方法,其特征在于,所述根据目标地域的历年数据统计表,分析得出目标地域的能源发展速度Va、经济发展速度Vb和环境发展速度Vc还包括:7. The method according to claim 6, characterized in that, the energy development speed V a , the economic development speed V b and the environmental development speed V c of the target region are analyzed according to the historical data statistical table of the target region. include: 依据标准化矩阵,计算其相关矩阵;According to the standardized matrix, calculate its correlation matrix; 计算所述相关矩阵的特征根;Calculate the characteristic root of the correlation matrix; 选择所述相关矩阵的特征根中,数值不为负数的特征根作为主成分的数值。Among the characteristic roots of the correlation matrix, the characteristic roots whose values are not negative are selected as the values of the principal components. 8.根据权利要求7所述的方法,其特征在于,还包括:8. The method according to claim 7, further comprising: 建立带有椭球的三维坐标系,并将能源发展速度的数值、经济发展速度的数值和环境发展速度的数值带入到所述三维坐标系中,所述三维坐标系的X、Y和Z轴分别表示能源发展速度的数值、经济发展速度的数值和环境发展速度的数值;Establish a three-dimensional coordinate system with an ellipsoid, and bring the numerical values of energy development speed, economic development speed and environmental development speed into the three-dimensional coordinate system, and the X, Y and Z of the three-dimensional coordinate system The axes represent the values of the energy development speed, the economic development speed and the environmental development speed respectively; 根据所述带入后的所述三维坐标系的参数内容调整α、β和γ的计算方式,其中,α表示在能源与经济协调的情况下,环境与能源-经济的协调度,β表示在能源与环境系统协调的情况下,经济与能源-经济的协调度,γ表示经济与环境系统协调的情况下,能源与经济-环境的协调度。Adjust the calculation method of α, β, and γ according to the parameter content of the three-dimensional coordinate system brought in, wherein, α represents the coordination degree of the environment and energy-economy under the condition that energy and economy are coordinated, and β represents the degree of coordination between the energy and the economy. In the case of energy and environmental system coordination, the coordination degree of economy and energy-economy, γ indicates the coordination degree of energy and economy-environment in the case of coordination of economic and environmental systems. 9.基于椭球模型的能源、经济和环境协调度计算装置,其特征在于,包括:9. The energy, economy and environment coordination degree calculation device based on the ellipsoid model, characterized in that it includes: 获取模块,用于根据目标地域的历年数据统计表,分析得出目标地域的能源发展速度Va、经济发展速度Vb和环境发展速度VcThe acquisition module is used to analyze and obtain the energy development speed V a , the economic development speed V b and the environmental development speed V c of the target region according to the historical data statistics table of the target region; 计算模块,按照如下公式计算目标地域的能源、经济和环境协调度,The calculation module calculates the energy, economy and environmental coordination degree of the target region according to the following formula, EE. (( VV aa ,, VV bb ,, VV cc )) == mm (( VV aa ,, VV bb )) ** αα ++ mm (( VV aa ,, VV cc )) ** ββ ++ mm (( VV bb ,, VV cc )) ** γγ mm (( VV aa ,, VV bb )) ++ mm (( VV aa ,, VV cc )) ++ mm (( VV bb ,, VV cc )) ;; 其中, Va为目标地域的能源发展速度,Vb为目标地域的经济发展速度,Vc为目标地域的环境发展速度。in, V a is the energy development speed of the target region, V b is the economic development speed of the target region, and V c is the environmental development speed of the target region. 10.根据权利要求9所述的装置,其特征在于,获取模块包括:10. The device according to claim 9, wherein the acquiring module comprises: 计算单元,用于按照如下公式计算目标地域的能源发展速度Va、经济发展速度Vb和环境发展速度VcThe calculation unit is used to calculate the energy development speed V a , the economic development speed V b and the environmental development speed V c of the target region according to the following formula: VV aa == dd AA dd tt ,, VV bb == dd BB dd tt ,, VV cc == dd CC dd tt ;; 其中,t为所述历年数据统计表的统计年限,A、B和C分别是目标地域的能源、经济和环境的综合发展水平值的曲线拟合方程式。Among them, t is the statistical year of the statistical table of historical data, and A, B and C are the curve fitting equations of the comprehensive development level values of energy, economy and environment in the target region respectively.
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Publication number Priority date Publication date Assignee Title
CN108563886A (en) * 2018-04-23 2018-09-21 华北电力大学 The construction method and device of 3E system coupling models
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