CN115705445A - A method of managing the thermal efficiency of a supercritical carbon dioxide cycle unit - Google Patents
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Abstract
本申请实施例公开了一种管理超临界二氧化碳循环机组的热效率的方法。所述方法包括:确定影响超临界二氧化碳SCO2循环机热效率的x个变量,其中x为大于等于2的整数;使用主元分析法从所述x个变量选择m个变量,其中m为小于n的整数;利用所述m个变量建立SCO2循环机热效率的热力学模型;利用所述热力学模型对SCO2循环机热效率进行管理。
The embodiment of the present application discloses a method for managing the thermal efficiency of a supercritical carbon dioxide cycle unit. The method includes: determining x variables that affect the thermal efficiency of a supercritical carbon dioxide SCO cycle machine, wherein x is an integer greater than or equal to 2; using principal component analysis to select m variables from the x variables, wherein m is less than n Integer; using the m variables to establish a thermodynamic model of the thermal efficiency of the SCO2 cycle machine; using the thermodynamic model to manage the thermal efficiency of the SCO2 cycle machine.
Description
技术领域technical field
本申请实施例涉及信息处理领域,尤指一种管理超临界二氧化碳循环机组的热效率的方法。The embodiment of the present application relates to the field of information processing, especially a method for managing the thermal efficiency of a supercritical carbon dioxide cycle unit.
背景技术Background technique
进入21世纪以来,世界能源结构向清洁、低碳、高效、多元的方向持续发展转型,但煤炭在世界能源供应中仍占重要地位。据统计,2018年煤炭消耗占世界一次能源供应的27.2%,且煤炭需求量连续2年增长。大部分煤炭用于发电以满足日益增长的电力需求。传统燃煤发电系统采用以蒸汽为工质的朗肯循环,但由于循环特性与材料限制,电厂效率很难进一步提高。超临界二氧化碳动力循环高效紧凑,有望取代传统蒸汽动力循环。Since the beginning of the 21st century, the world's energy structure has continued to develop and transform towards a clean, low-carbon, high-efficiency, and diversified direction, but coal still plays an important role in the world's energy supply. According to statistics, coal consumption accounted for 27.2% of the world's primary energy supply in 2018, and coal demand has grown for two consecutive years. Most coal is used to generate electricity to meet growing electricity demand. The traditional coal-fired power generation system uses the Rankine cycle with steam as the working fluid, but due to the cycle characteristics and material limitations, it is difficult to further improve the efficiency of the power plant. The supercritical carbon dioxide power cycle is efficient and compact, and is expected to replace the traditional steam power cycle.
超临界二氧化碳布雷顿循环燃煤发电技术,其主要优点在于一方面采用高效的布雷顿循环,发电效率高于同等级参数的常规火力机组;另一方面透平、压缩机等部件的体积大大减少,无抽汽设计,管路复杂度降低,是进一步提高燃煤发电效率的潜力方案。The main advantage of supercritical carbon dioxide Brayton cycle coal-fired power generation technology is that on the one hand, it adopts a high-efficiency Brayton cycle, and the power generation efficiency is higher than that of conventional thermal power units with the same parameters; on the other hand, the volume of turbines, compressors and other components is greatly reduced. , no steam extraction design, reduced pipeline complexity, is a potential solution to further improve the efficiency of coal-fired power generation.
由于超临界二氧化碳闭式布雷顿循环工质的物性特点,为了提高整个循环效率,在循环中往往采用中间回热的方式,充分利用透平高温的排气来预热压缩机出口的工质(回热过程),从而降低冷端损失,循环还可采用多级压缩中间冷却技术进一步提高效率。由于该效率影响因素众多、各因素间高度耦合,因此对该参数的提高造成了较大困难。因此,如何确定对超临界二氧化碳循环最佳热效率的关键参数是亟待解决的问题。Due to the physical properties of supercritical carbon dioxide closed-type Brayton cycle working fluid, in order to improve the efficiency of the whole cycle, intermediate regeneration is often used in the cycle to make full use of the high-temperature exhaust gas of the turbine to preheat the working medium at the outlet of the compressor ( heat recovery process), thereby reducing the loss of the cold end, and the cycle can also use multi-stage compression intercooling technology to further improve efficiency. Due to the many factors affecting the efficiency and the high coupling between the factors, it is difficult to improve this parameter. Therefore, how to determine the key parameters for the optimal thermal efficiency of the supercritical carbon dioxide cycle is an urgent problem to be solved.
发明内容Contents of the invention
为了解决上述任一技术问题,本申请实施例提供了一种管理超临界二氧化碳循环机组的热效率的方法。In order to solve any of the above technical problems, an embodiment of the present application provides a method for managing the thermal efficiency of a supercritical carbon dioxide cycle unit.
为了达到本申请实施例目的,本申请实施例提供了一种管理超临界二氧化碳循环机组的热效率的方法,包括:In order to achieve the purpose of the embodiment of this application, the embodiment of this application provides a method for managing the thermal efficiency of a supercritical carbon dioxide cycle unit, including:
确定影响超临界二氧化碳SCO2循环机热效率的x个变量,其中x为大于等于2的整数;Determine x variables that affect the thermal efficiency of the supercritical carbon dioxide SCO2 cycle machine, where x is an integer greater than or equal to 2;
使用主元分析法从所述x个变量选择m个变量,其中m为小于n的整数;selecting m variables from said x variables using principal component analysis, wherein m is an integer less than n;
利用所述m个变量建立SCO2循环机热效率的热力学模型;Utilize described m variables to establish the thermodynamic model of SCO cycle machine thermal efficiency;
利用所述热力学模型对SCO2循环机热效率进行管理。The thermal efficiency of the SCO2 cycler is managed using the thermodynamic model.
一种存储介质,所述存储介质中存储有计算机程序,其中,所述计算机程序被设置为运行时执行上文所述的方法。A storage medium, in which a computer program is stored, wherein the computer program is configured to execute the method described above when running.
一种电子装置,包括存储器和处理器,所述存储器中存储有计算机程序,所述处理器被设置为运行所述计算机程序以执行上文所述的方法。An electronic device includes a memory and a processor, wherein a computer program is stored in the memory, and the processor is configured to run the computer program to perform the method described above.
上述技术方案中的一个技术方案具有如下优点或有益效果:One of the above technical solutions has the following advantages or beneficial effects:
通过确定影响SCO2循环机热效率的x个变量,使用主元分析法从所述x个变量选择m个变量,利用所述m个变量建立SCO2循环机热效率的热力学模型,利用所述热力学模型对SCO2循环机热效率进行管理,通过对变量的个数的精简,大大降低建模的难度和减少建模的计算量。By determining the x variables that affect the thermal efficiency of the SCO2 cycle machine, using the principal component analysis method to select m variables from the x variables, using the m variables to establish a thermodynamic model of the thermal efficiency of the SCO2 cycle machine, using the thermodynamic model to SCO2 The thermal efficiency of the cycle machine is managed, and the difficulty of modeling and the amount of calculation for modeling are greatly reduced by simplifying the number of variables.
本申请实施例的其它特征和优点将在随后的说明书中阐述,并且,部分地从说明书中变得显而易见,或者通过实施本申请实施例而了解。本申请实施例的目的和其他优点可通过在说明书、权利要求书以及附图中所特别指出的结构来实现和获得。Other features and advantages of the embodiments of the present application will be set forth in the following description, and partly become apparent from the description, or can be understood by implementing the embodiments of the present application. The objectives and other advantages of the embodiments of the present application can be realized and obtained through the structures particularly pointed out in the specification, claims and drawings.
附图说明Description of drawings
附图用来提供对本申请实施例技术方案的进一步理解,并且构成说明书的一部分,与本申请实施例的实施例一起用于解释本申请实施例的技术方案,并不构成对本申请实施例技术方案的限制。The accompanying drawings are used to provide a further understanding of the technical solutions of the embodiments of the present application, and constitute a part of the description, together with the embodiments of the embodiments of the present application, they are used to explain the technical solutions of the embodiments of the present application, and do not constitute a technical solution to the embodiments of the present application limits.
图1为本申请实施例提供的管理SCO2循环机组的热效率的方法的流程图;Fig. 1 is the flow chart of the method for managing the thermal efficiency of SCO cycle unit provided by the embodiment of the present application;
图2为本申请实施例提供的SCO2循环机热效率优化方法的流程图;Fig. 2 is the flow chart of the SCO cycle machine thermal efficiency optimization method provided by the embodiment of the application;
图3为本申请实施例提供的主元分析法的处理方法的流程图。Fig. 3 is a flow chart of the processing method of the principal component analysis method provided by the embodiment of the present application.
图4为本申请实施例提供的热力学模型的搭建示意图。Fig. 4 is a schematic diagram of building a thermodynamic model provided in the embodiment of the present application.
图5为本申请实施例提供的遗传算法的处理方法的流程图。FIG. 5 is a flow chart of a genetic algorithm processing method provided by an embodiment of the present application.
图6为本申请实施例提供的优化后的遗传算法的处理方法的流程图。FIG. 6 is a flow chart of the optimized genetic algorithm processing method provided by the embodiment of the present application.
图7为本申请实施例提供的高压透平入口温度和压力对循环热效率的影响的示意图。Fig. 7 is a schematic diagram of the influence of the inlet temperature and pressure of the high-pressure turbine on the thermal efficiency of the cycle provided by the embodiment of the present application.
具体实施方式Detailed ways
为使本申请实施例的目的、技术方案和优点更加清楚明白,下文中将结合附图对本申请实施例的实施例进行详细说明。需要说明的是,在不冲突的情况下,本申请实施例中的实施例及实施例中的特征可以相互任意组合。In order to make the purpose, technical solutions and advantages of the embodiments of the present application clearer, the embodiments of the embodiments of the present application will be described in detail below with reference to the accompanying drawings. It should be noted that, in the case of no conflict, the embodiments in the embodiments of the present application and the features in the embodiments can be combined arbitrarily with each other.
图1为本申请实施例提供的管理SCO2循环机组的热效率的方法的流程图。如图1所示,包括:Fig. 1 is a flowchart of a method for managing the thermal efficiency of an SCO2 cycle unit provided by an embodiment of the present application. As shown in Figure 1, including:
步骤101、确定影响SCO2循环机热效率的x个变量,其中x为大于等于2的整数;
步骤102、使用主元分析法从所述x个变量选择m个变量,其中m为小于n的整数;
步骤103、利用所述m个变量建立SCO2循环机热效率的热力学模型;
步骤104、利用所述热力学模型对SCO2循环机热效率进行管理。
本申请实施例提供的方法,通过确定影响SCO2循环机热效率的x个变量,使用主元分析法从所述x个变量选择m个变量,利用所述m个变量建立SCO2循环机热效率的热力学模型,利用所述热力学模型对SCO2循环机热效率进行管理,通过对变量的个数的精简,大大降低建模的难度和减少建模的计算量。In the method provided in the embodiment of the present application, by determining x variables that affect the thermal efficiency of the SCO cycle machine, using the principal component analysis method to select m variables from the x variables, and using the m variables to establish a thermodynamic model of the thermal efficiency of the SCO cycle machine , using the thermodynamic model to manage the thermal efficiency of the SCO2 cycle machine, and greatly reducing the difficulty of modeling and the calculation amount of modeling by simplifying the number of variables.
下面对本申请实施例提供的方法进行说明:The method provided by the embodiment of the present application is described below:
图2为本申请实施例提供的SCO2循环机热效率优化方法的流程图。如图2所示,首先分析超临界二氧化碳循环机组运行机理,寻找其SCO2循环热效率的影响因素,通过对影响因素进行筛选用于后续研究。通过合理有效的机理分析,建立起热力学模型。之后以SCO2循环热效率为优化目标通过改进后的遗传算法对之前建立的热力学模型进行多参数优化,优化后的结果与文献对比,通过对比来判断本发明模型的精度及准确性合乎需求。最后以SCO2循环热效率的影响因素为模型输入,计算其SCO2循环热效率。Fig. 2 is a flow chart of the method for optimizing the thermal efficiency of the SCO2 cycle machine provided by the embodiment of the present application. As shown in Figure 2, the operation mechanism of the supercritical carbon dioxide cycle unit is first analyzed to find the factors affecting the thermal efficiency of the SCO2 cycle, and the influencing factors are screened for subsequent research. Through reasonable and effective mechanism analysis, a thermodynamic model was established. Afterwards, with the thermal efficiency of the SCO2 cycle as the optimization target, the multi-parameter optimization of the previously established thermodynamic model was carried out through the improved genetic algorithm. The optimized results were compared with the literature, and the accuracy and accuracy of the model of the present invention were judged to meet the requirements by comparison. Finally, the SCO2 cycle thermal efficiency is calculated by taking the influencing factors of the SCO2 cycle thermal efficiency as the model input.
图2所示方法包括4个阶段,分别是关键变量筛选阶段、模型建立阶段、模型验证阶段和模型测试阶段。下面对每个阶段分别进行说明:The method shown in Figure 2 includes four stages, which are key variable screening stage, model building stage, model verification stage and model testing stage. Each stage is described below:
1、关键变量筛选阶段1. Key variable screening stage
分析超临界二氧化碳循环机组运行机理,寻找其SCO2循环热效率的影响因素。确定对其循环热效率影响较大的x个变量,然后使用主元分析法对上述x个变量进行分析筛选,通过计算贡献率以及相关系数,找出贡献率较高的变量,根据计算结果将贡献率较高m个变量替换初始的x个变量,用于后续分析和研究。Analyze the operating mechanism of the supercritical carbon dioxide cycle unit, and find out the influencing factors of the thermal efficiency of the SCO2 cycle. Determine the x variables that have a greater impact on its cycle thermal efficiency, and then use the principal component analysis method to analyze and screen the above x variables. By calculating the contribution rate and correlation coefficient, find out the variables with a high contribution rate. According to the calculation results, the contribution The m variables with higher rate are used to replace the initial x variables for subsequent analysis and research.
在一个示例性实施例中,所述x个变量包括如下至少一个:In an exemplary embodiment, the x variables include at least one of the following:
高压透平入口压力、高压透平入口温度、低压透平入口压力、低压透平入口温度、主压缩机的入口温度、主压缩机的压力损失、再压缩机的入口温度、再压缩机的压力损失以及压缩机分流比。HP turbine inlet pressure, HP turbine inlet temperature, LP turbine inlet pressure, LP turbine inlet temperature, main compressor inlet temperature, main compressor pressure loss, re-compressor inlet temperature, re-compressor pressure loss and compressor split ratio.
在一个示例性实施例中,所述使用主元分析法从所述x个变量选择m个变量,包括:In an exemplary embodiment, said using principal component analysis to select m variables from said x variables comprises:
采用主元分析法对所述x个变量进行筛选,得到贡献率最高的变量;The x variables are screened by principal component analysis to obtain the variable with the highest contribution rate;
计算所述贡献率最高的变量与剩余的x-1个变量之间的相关系数;Calculate the correlation coefficient between the variable with the highest contribution rate and the remaining x-1 variables;
根据所述x-1个变量中每个变量的相关系数,选择m-1个变量,将所述贡献率最高的变量和m-1个变量组合后作为最终变量。According to the correlation coefficient of each variable in the x-1 variables, m-1 variables are selected, and the variable with the highest contribution rate is combined with the m-1 variables as the final variable.
分析超临界二氧化碳循环机组运行机理,寻找其SCO2循环热效率的影响因素。确定对其循环热效率影响较大的变量为:高压透平入口压力、高压透平入口温度、低压透平入口压力、低压透平入口温度、主压缩机入口温度及压力损失、再压缩机入口温度及压力损失、压缩机分流比,共9个变量;然后使用主元分析法对上述9个变量进行分析筛选,通过计算贡献率以及相关系数,找出贡献率较高的变量,根据计算结果使用4个关键变量用于后续分析和研究。Analyze the operating mechanism of the supercritical carbon dioxide cycle unit, and find out the influencing factors of the thermal efficiency of the SCO2 cycle. Determine the variables that have a greater impact on its cycle thermal efficiency: high pressure turbine inlet pressure, high pressure turbine inlet temperature, low pressure turbine inlet pressure, low pressure turbine inlet temperature, main compressor inlet temperature and pressure loss, and recompressor inlet temperature And pressure loss, compressor split ratio, a total of 9 variables; then use the principal component analysis method to analyze and screen the above 9 variables, by calculating the contribution rate and correlation coefficient, find out the variable with a higher contribution rate, and use it according to the calculation results 4 key variables were used for subsequent analysis and research.
在一个示例性实施例中,采用如下计算表达式计算相关系数,包括:In an exemplary embodiment, the following calculation expressions are used to calculate the correlation coefficient, including:
其中,X、Y代表了两个不同的变量,为X,Y的协方差,和代表了样本的平均值。Among them, X and Y represent two different variables, the covariance of X and Y, and the mean value of the sample.
计算所得的相关系数范围是(-1,1),当相关系数的绝对值越大时,说明了相关性越强:当相关系数越接近于1或-1时,相关性越强;当相关系数越接近于0时,相关性越弱。The range of the calculated correlation coefficient is (-1,1). When the absolute value of the correlation coefficient is larger, it indicates that the correlation is stronger: when the correlation coefficient is closer to 1 or -1, the correlation is stronger; when the correlation The closer the coefficient is to 0, the weaker the correlation is.
通过以下取值范围来判断变量的相关强度:The correlation strength of variables is judged by the following range of values:
相关系数的绝对值The absolute value of the correlation coefficient
1.极强相关:0.8-1.01. Very strong correlation: 0.8-1.0
2.强相关:0.6-0.82. Strong correlation: 0.6-0.8
3.中等程度相关:0.4-0.63. Moderate correlation: 0.4-0.6
4.弱相关:0.2-0.44. Weak correlation: 0.2-0.4
5.极弱相关或无相关:0.0-0.25. Very weak or no correlation: 0.0-0.2
图3为本申请实施例提供的主元分析法的处理方法的流程图。如图3所示,所述处理方法包括如下步骤:Fig. 3 is a flow chart of the processing method of the principal component analysis method provided by the embodiment of the present application. As shown in Figure 3, the processing method includes the following steps:
1.将原始数据进行标准化预处理,然后将数据按列组成n行m列的矩阵X;1. Standardize and preprocess the original data, and then organize the data into a matrix X with n rows and m columns;
2.零均值化。即每一位特征减去各自这一行的平均值;2. Zero meanization. That is, each feature minus the average value of the respective row;
3.计算协方差矩阵;3. Calculate the covariance matrix;
4.计算协方差矩阵的特征值与特征向量;4. Calculate the eigenvalues and eigenvectors of the covariance matrix;
5.对特征值进行从小到大排列;5. Arrange the eigenvalues from small to large;
6.将数据转换到特征向量构建的新空间中。6. Transform the data into a new space constructed by eigenvectors.
在分析完成后,得到的贡献率信息如下:After the analysis is completed, the obtained contribution rate information is as follows:
贡献率:Contribution rate:
newrate=0.7578 0.1571 0.0544 0.0250 0.0029 0.0017 0.0011newrate=0.7578 0.1571 0.0544 0.0250 0.0029 0.0017 0.0011
主成分数:2Number of Principal Components: 2
主成分荷载:Principal component loadings:
从上述结果可以看出,其中达到累计贡献率80%一共需要2个主元,且第一个主元的贡献率达到了75%,说明第一个主元的影响很大,并且在第一个主元中,变量1(高压透平入口压力)、变量4(高压透平入口温度)、变量5(压力损失)、变量6(主压缩机入口温度)荷载比较大,得分最高,通过以上的计算分析所得,选择将这4个变量作为关键变量。It can be seen from the above results that a total of 2 pivots are needed to achieve a cumulative contribution rate of 80%, and the contribution rate of the first pivot has reached 75%, indicating that the first pivot has a great influence, and in the first Among the principal elements, variable 1 (high pressure turbine inlet pressure), variable 4 (high pressure turbine inlet temperature), variable 5 (pressure loss), and variable 6 (main compressor inlet temperature) have relatively large loads and the highest score, passing the above Based on the calculated and analyzed results, these four variables are selected as the key variables.
通过上述处理,可以实现充分挖掘多个变量中隐含信息的目的,从而提高SCO2循环效率,同时还具有运算速度快,泛化能力强等优点。Through the above processing, the purpose of fully mining the hidden information in multiple variables can be realized, thereby improving the efficiency of the SCO2 cycle, and it also has the advantages of fast operation speed and strong generalization ability.
2、模型建立阶段2. Model building stage
图4为本申请实施例提供的热力学模型的搭建示意图。如图4所示,分析二氧化碳循环的内部机理,采用集总参数法,忽略系统参数沿空间的分布情况,只考虑时间导数项;假定烟气、空气为理想气体,满足理想气体状态定律;各系统满足基本的物理及热力学定律,如质量守恒、能量守恒、动量守恒、传热方程、热力学状态参数方程等。Fig. 4 is a schematic diagram of building a thermodynamic model provided in the embodiment of the present application. As shown in Figure 4, the internal mechanism of the carbon dioxide cycle is analyzed, using the lumped parameter method, ignoring the distribution of system parameters along the space, and only considering the time derivative term; assuming that the flue gas and air are ideal gases, which satisfy the law of ideal gas state; The system satisfies basic physical and thermodynamic laws, such as mass conservation, energy conservation, momentum conservation, heat transfer equation, thermodynamic state parameter equation, etc.
根据其热力学规律建立起超临界二氧化碳循环的热力学模型,热力循环系统包含两大类设备:一类是叶轮机械,如压气机、透平;另外一类是换热设备,如回热器、冷却器等。热力循环分析一般是针对不同的设备建立热力学模型,再通过相互间的连接关系形成一个闭合的循环回路并最终求解出各点的状态参数。According to its thermodynamic laws, a thermodynamic model of supercritical carbon dioxide cycle is established. The thermodynamic cycle system includes two types of equipment: one is impeller machinery, such as compressor, turbine; the other is heat exchange equipment, such as regenerator, cooling device etc. Thermodynamic cycle analysis generally establishes thermodynamic models for different equipment, and then forms a closed loop through the connection relationship between them, and finally solves the state parameters of each point.
通过主元分析法确定关键变量后,分析二氧化碳循环的内部机理,采用集总参数法,忽略系统参数沿空间的分布情况,只考虑时间导数项;假定烟气、空气为理想气体,满足理想气体状态定律;各系统满足基本的物理及热力学定律,如质量守恒、能量守恒、动量守恒、传热方程、热力学状态参数方程等。After the key variables are determined by the principal component analysis method, the internal mechanism of the carbon dioxide cycle is analyzed, and the lumped parameter method is used to ignore the distribution of the system parameters along the space, and only consider the time derivative term; assuming that the flue gas and air are ideal gases, satisfying the ideal gas Laws of state: Each system satisfies basic laws of physics and thermodynamics, such as mass conservation, energy conservation, momentum conservation, heat transfer equations, thermodynamic state parameter equations, etc.
根据其热力学规律建立起超临界二氧化碳循环的热力学模型;热力循环系统包含两大类设备:一类是叶轮机械,如压气机、透平;另外一类是换热设备,如回热器、冷却器等。According to its thermodynamic laws, a thermodynamic model of supercritical carbon dioxide cycle is established; the thermodynamic cycle system includes two types of equipment: one is impeller machinery, such as compressor, turbine; the other is heat exchange equipment, such as regenerator, cooling device etc.
热力循环分析一般是针对不同的设备建立热力学模型,再通过相互间的连接关系形成一个闭合的循环回路并最终求解出各点的状态参数。Thermodynamic cycle analysis generally establishes thermodynamic models for different equipment, and then forms a closed loop through the connection relationship between them, and finally solves the state parameters of each point.
针对压气机、透平这类旋转设备,采用考虑设备等熵效率的等熵压缩和等熵膨胀模型。For rotating equipment such as compressors and turbines, the isentropic compression and isentropic expansion models considering the isentropic efficiency of the equipment are adopted.
针对压气机:For compressors:
Pco=Pciεc P co =P ci ε c
sco=s(Pci,Tci)s co =s(P ci ,T ci )
hco=h(Pco,sco)h co =h(P co ,s co )
Δhc=(hco-hci)/αc Δh c =(h co -h ci )/α c
Tco=T[Pco,(hci+Δhc)]T co =T[P co ,(h ci +Δh c )]
针对透平:For turbines:
Pto=Pti/εt P to = P ti /ε t
sto=s(Pti,Tti)s to =s(P ti ,T ti )
hto=h(Pto,sto)h to =h(P to ,s to )
Δht=(hto-hti)/αt Δh t = (h to -h ti )/α t
式中,P为压力,单位为MPa;s为熵,单位为kJ/kg·℃;h为焓,单位为kJ/kg;T为温度,单位为℃;Δh为焓升,单位为kJ/kg;ε为压力比;α为旋转设备的等熵效率。下角标c和t分别表示压气机和透平;i和o分别表示进口和出口。In the formula, P is pressure in MPa; s is entropy in kJ/kg °C; h is enthalpy in kJ/kg; T is temperature in °C; Δh is enthalpy rise in kJ/kg kg; ε is the pressure ratio; α is the isentropic efficiency of the rotating equipment. The subscripts c and t represent compressor and turbine respectively; i and o represent inlet and outlet respectively.
针对换热设备,一般采用可耐高温高压的印刷电路板式换热器,可在控制换热设备体积的条件下实现较低的端部温差和较高的效率。For heat exchange equipment, printed circuit board heat exchangers that can withstand high temperature and high pressure are generally used, which can achieve lower end temperature difference and higher efficiency under the condition of controlling the volume of heat exchange equipment.
根据能量守恒,可知换热设备:According to the conservation of energy, it can be known that the heat exchange equipment:
m1(h1i-h10)=m2(h2o-h2i)m 1 (h 1i -h 10 )=m 2 (h 2o -h 2i )
式中,m为流量,单位为Kg/s;h为焓,单位为KJ/Kg。下角标i和o分别表示进口和出口,1和2分别表示换热器热侧和冷侧。In the formula, m is the flow rate, the unit is Kg/s; h is the enthalpy, the unit is KJ/Kg. The subscripts i and o represent the inlet and outlet, respectively, and 1 and 2 represent the hot and cold sides of the heat exchanger, respectively.
透平输出功和压气机耗功分别为:Turbine output power and compressor power consumption are respectively:
Wt=mtΔht W t = m t Δh t
Wc=mcΔhc W c =m c Δh c
式中,W为功率,单位为MW;m为流量,单位为kg/s;Δh为焓升,单位为kJ/kg。In the formula, W is the power, the unit is MW; m is the flow rate, the unit is kg/s; Δh is the enthalpy rise, the unit is kJ/kg.
则系统热效率为:Then the thermal efficiency of the system is:
式中,η为系统热效率;Q为热源功率,单位为MW。In the formula, η is the thermal efficiency of the system; Q is the heat source power, the unit is MW.
3、模型验证阶段3. Model verification stage
为了进一步完善建立的热力学模型,通过查阅对比国内外相关文献,确定超临界二氧化碳循环的相关主要参数值。如下表所示:In order to further improve the established thermodynamic model, the relevant main parameter values of the supercritical carbon dioxide cycle were determined by consulting and comparing relevant domestic and foreign literature. As shown in the table below:
采用改进后的遗传算法,以循环热效率为优化目标对本模型进行优化。The improved genetic algorithm is used to optimize the model with cycle thermal efficiency as the optimization goal.
在一个示例性实施例中,所述利用所述m个变量建立SCO2循环机热效率的热力学模型之后,所述方法还包括:In an exemplary embodiment, after using the m variables to establish a thermodynamic model of the thermal efficiency of the SCO cycle machine, the method further includes:
从预先记录的采用a个变量建立的SCO2循环机热效率的热力学模型中确定所述m个变量的配置值,其中a为大于m的整数;Determine the configuration values of the m variables from the pre-recorded thermodynamic model of the thermal efficiency of the SCO2 cycle machine established by using a variable, where a is an integer greater than m;
在采用m个变量的配置参数运行所述热力学模型过程中,以优化热效率为目标,采用遗传算法对所述热力学模型的中的变量的取值进行调整。In the process of running the thermodynamic model with the configuration parameters of m variables, with the goal of optimizing thermal efficiency, a genetic algorithm is used to adjust the values of the variables in the thermodynamic model.
由于所确定的m个变量的数值所使用的变量个数与本申请所使用的变量个数不同,通过对得到的m个变量的数值进行调整,以实现对本申请所使用的模型的适应,提高模型处理的准确度。Since the number of variables used in the determined values of the m variables is different from the number of variables used in the present application, by adjusting the values of the obtained m variables, the adaptation to the model used in the application can be realized and the improvement can be improved. Accuracy of model processing.
在一个示例性实施例中,采用遗传算法对所述热力学模型的变量的取值进行调整,包括:In an exemplary embodiment, a genetic algorithm is used to adjust the values of the variables of the thermodynamic model, including:
确定需要优化的变量;Identify variables that need to be optimized;
利用需要优化的变量,建立初代群体;Use the variables that need to be optimized to establish the first generation group;
计算初代群体的适应度;Calculate the fitness of the first generation population;
采用遗传算法生成下一代群体;Genetic algorithm is used to generate the next generation population;
计算下一代群体的适应度是否满足预设的适应度条件,其中所述适应度条件是根据初代适应度设置的;Calculating whether the fitness of the next generation population meets a preset fitness condition, wherein the fitness condition is set according to the fitness of the first generation;
如果下一代群体的适应度满足所述适应度条件,则优化后的变量的编码后的值;否则,继续生成下一代群体直到得到的下一代群体的适应度满足所述适应度条件或者迭代次数达到预设的次数阈值为止。If the fitness of the next-generation population satisfies the fitness condition, the encoded value of the optimized variable; otherwise, continue to generate the next-generation population until the fitness of the obtained next-generation population satisfies the fitness condition or the number of iterations until the preset threshold is reached.
图5为本申请实施例提供的遗传算法的处理方法的流程图。如图5所示,所述处理方法包括如下步骤:FIG. 5 is a flow chart of a genetic algorithm processing method provided by an embodiment of the present application. As shown in Figure 5, the processing method includes the following steps:
A)优化变量确认:A) Optimization variable confirmation:
X=[X1 X2 … Xn]X=[X 1 X 2 ... X n ]
其中n为需要优化的变量个数;Where n is the number of variables to be optimized;
B)编码以上所需变量:B) Encode the above required variables:
B=from10to2(X)B=from10to2(X)
以上目的是为了将十进制的变量转化为二进制编码;The purpose of the above is to convert decimal variables into binary codes;
C)通过转换,生成初代群体:C) Through conversion, generate the first generation population:
B0=random(n,range)B 0 =random(n,range)
其中range是变量范围,以上目的是根据变量个数n和变量范围range来随机确定初代群体;Where range is the variable range, the purpose of the above is to randomly determine the first generation group according to the variable number n and the variable range range;
D)计算群体适应度:D) Calculate population fitness:
q0=Q(B0)q 0 =Q(B 0 )
式中:q0即为初代群体的适应度;Q为适应度函数;In the formula: q 0 is the fitness of the first generation group; Q is the fitness function;
E)三种运算操作以生成下一代群体:E) Three operations to generate the next generation population:
1)选择运算:1) Select the operation:
选出适应度最好的初代个体:Select the first-generation individuals with the best fitness:
[b0 i]=max(q0)[b 0 i]=max(q 0 )
式中,i取决于需要优化的变量n,范围是[1,2,…,n];In the formula, i depends on the variable n to be optimized, and the range is [1,2,…,n];
将适应度最好的初代个体保留到下一代:Keep the first-generation individuals with the best fitness to the next generation:
B1(i)=B0(i)B 1 (i) = B 0 (i)
2)交叉运算:2) Cross operation:
由于个体采用实数编码,所以交叉操作方法采用实数交叉法,第k个染色体ak和第l个染色体aj,在j位的交叉操作方法如下:Since the individual is coded with a real number, the crossover operation method adopts the real number crossover method, the kth chromosome a k and the lth chromosome a j , the crossover operation method at the j position is as follows:
式中,b是[0,1]间的随机数。In the formula, b is a random number between [0, 1].
3)变异运算:3) Mutation operation:
选取第i个个体的第j个基因aij进行变异,变异操作方法如下:Select the j-th gene a ij of the i-th individual for mutation, and the mutation operation method is as follows:
式中,amax为基因aij的上界;amin为基因aij的下界;f(g)=r2(1-g/Gmax)2;r2为一个随机数;g为当前迭代次数;Gmax为最大进化次数;r为[0,1]之间的随机数。In the formula, a max is the upper bound of gene a ij ; a min is the lower bound of gene a ij ; f(g)=r 2 (1-g/G max ) 2 ; r 2 is a random number; g is the current iteration times; G max is the maximum evolution times; r is a random number between [0,1].
F)判断适应度是否合乎需求:F) Judging whether the fitness meets the requirements:
[qbest i]=max(q0)[q best i]=max(q 0 )
G)适应度不合乎需求,下一代群体作为初代群体,继续计算适应度以及生成下一代B0=B1将下一代个体作为初代;G) The fitness does not meet the requirements, the next generation group is used as the first generation group, continue to calculate the fitness and generate the next generation B 0 = B 1 and use the next generation of individuals as the first generation;
H)适应度合乎要求,获得优化后的变量的编码后的值:H) The fitness meets the requirements, and the coded value of the optimized variable is obtained:
[qbest i]=max(q0)[q best i]=max(q 0 )
bbest=B0(i)b best = B 0 (i)
bbest即为所求;b best is what you want;
I)对求得的值进行反编码,得到最终值:1) The obtained value is reverse-coded to obtain the final value:
Xbest=from2to10(bbest)X best =from2to10(b best )
式中:Xbest即优化后的变量值;In the formula: X best is the optimized variable value;
在一个示例性实施例中,所述采用遗传算法生成下一代群体,包括:In an exemplary embodiment, the generation of the next-generation population using a genetic algorithm includes:
计算所述下一代群体中每个个体的适应度值;Calculate the fitness value of each individual in the next generation population;
根据每个个体的适应度值,确定所述下一代群众中的最优解和最差解;According to the fitness value of each individual, determine the optimal solution and the worst solution in the next generation crowd;
如果上一代最优解的适应度值比当前最优解的适应度值大,则用上一代的最优解替换当前最优解;If the fitness value of the optimal solution of the previous generation is greater than the fitness value of the current optimal solution, replace the current optimal solution with the optimal solution of the previous generation;
若上一代的最优解函数值比当前最优解的适应度值小,则用上一代的最优解替换当前的最差解。If the optimal solution function value of the previous generation is smaller than the fitness value of the current optimal solution, replace the current worst solution with the optimal solution of the previous generation.
上述遗传算法虽然具有良好的全局搜索能力,可以快速地将解空间中的全体解搜索出,但是传统遗传算法的局部搜索能力较差,导致单纯的遗传算法比较费时,在进化后期搜索效率较低。因此为了解决这一问题,本发明在传统遗传算法上加以改进。Although the above-mentioned genetic algorithm has a good global search ability and can quickly search for all solutions in the solution space, the local search ability of the traditional genetic algorithm is poor, which leads to a time-consuming simple genetic algorithm and low search efficiency in the later stage of evolution. . Therefore, in order to solve this problem, the present invention improves on the traditional genetic algorithm.
图6为本申请实施例提供的优化后的遗传算法的处理方法的流程图。如图6所示,优化后的遗传算法在遗传算法的步骤E中进行了改进,包括:FIG. 6 is a flow chart of the optimized genetic algorithm processing method provided by the embodiment of the present application. As shown in Figure 6, the optimized genetic algorithm is improved in Step E of the genetic algorithm, including:
采用最优保存策略,首先计算每个个体的适应度函数值,然后排序,找出最优解,最差解;然后若上一代最优解的函数值比当前最优解的函数值大,则用上一代的最优解替换当前最优解;若上一代的最优解函数值小,则用上一代的最优解替换当前的最差解。Using the optimal preservation strategy, first calculate the fitness function value of each individual, and then sort to find the optimal solution and the worst solution; then if the function value of the optimal solution of the previous generation is greater than the function value of the current optimal solution, Then replace the current optimal solution with the optimal solution of the previous generation; if the optimal solution function value of the previous generation is small, replace the current worst solution with the optimal solution of the previous generation.
在一个示例性实施例中,采用遗传算法对所述热力学模型的变量的取值进行调整之后,所述方法还包括:In an exemplary embodiment, after the values of the variables of the thermodynamic model are adjusted using a genetic algorithm, the method further includes:
获取调整变量的取值后的热量学模型的热循环效率;Obtain the thermal cycle efficiency of the thermal model after adjusting the value of the variable;
将所述热循环效率与采用a个变量建立的SCO2循环机热效率的热力学模型的基准热循环效率进行比对,得到比对结果;The thermal cycle efficiency is compared with the reference thermal cycle efficiency of the thermodynamic model of the SCO cycle machine thermal efficiency established by a variable, and the comparison result is obtained;
如果比对结果为所述热循环效率与所述基准热循环效率之间的误差满足预设的误差条件,则确定所述调整变量的取值后的热量学模型验证通过。If the comparison result shows that the error between the thermal cycle efficiency and the reference thermal cycle efficiency satisfies a preset error condition, the verification of the thermal model after determining the value of the adjustment variable is passed.
将优化后的结果与搜集到的文献内容进行对比,通过对比来判断本发明模型的精度及准确性合乎需求。The optimized results are compared with the collected literature content, and the precision and accuracy of the model of the present invention are judged to meet the requirements through comparison.
优化后的结果与搜集到的文献内容进行对比,如下表所示,通过对比发现模型计算得到的优化热效率与文献结果误差仅为0.026%,精度与准确性满足要求。The optimized results are compared with the collected literature content, as shown in the table below, the error between the optimized thermal efficiency calculated by the model and the literature results is only 0.026%, and the precision and accuracy meet the requirements.
4、热效率检测阶段4. Thermal efficiency detection stage
将高压透平入口温度控制在某温度开始上升,主压缩机入口温度控制在一定温度恒定不动,模型输入选择高压透平入口温度与压力两个变量,除此之外的其他参数均以循环热效率为优化目标通过遗传算法进行单目标优化,以此判断变量对SCO2循环最佳热效率的影响。Control the inlet temperature of the high-pressure turbine at a certain temperature and start to rise, and control the inlet temperature of the main compressor at a certain temperature. The model input selects the two variables of the inlet temperature and pressure of the high-pressure turbine. Other parameters are cycled The thermal efficiency is the optimization goal, and the single-objective optimization is carried out through the genetic algorithm, so as to judge the influence of variables on the optimal thermal efficiency of the SCO2 cycle.
将高压透平入口温度控制在自500℃开始上升,主压缩机入口温度控制在32℃恒定不动,模型输入选择高压透平入口温度与压力两个变量,除此之外的其他参数均以循环热效率为优化目标通过遗传算法进行单目标优化,以此判断变量对SCO2循环最佳热效率的影响。The inlet temperature of the high-pressure turbine is controlled to rise from 500°C, the inlet temperature of the main compressor is controlled at 32°C, and the model input selects the two variables of the inlet temperature and pressure of the high-pressure turbine, and other parameters are based on The thermal efficiency of the cycle is the optimization target, and the genetic algorithm is used for single-objective optimization to determine the impact of variables on the optimal thermal efficiency of the SCO2 cycle.
图7为本申请实施例提供的高压透平入口温度和压力对循环热效率的影响的示意图。从图7可以看出,循环的最佳热效率随着横坐标的增加呈抛物线状先增长后降低,即循环的最佳热效率与高压透平入口压力呈二次函数关系。这明显表明,当高压透平入口温度自500℃起至700℃止,循环的热效率与高压透平入口压力不是简单的一次函数关系。而是随着高压透平入口压力在20~37MPa之间逐步增大,适当增加循环的高压透平入口压力有利于提升循环的热效率,但温度过高则会适得其反,其最适温度大致在31℃左右。此外,从图7中还可以看出,高压透平入口温度的改变,会对循环最佳热效率产生影响。这说明提升高压透平入口温度也有利于循环热效率的提升。以上仿真结果表明本发明具有对超临界二氧化碳循环机组循环热效率优化的能力。Fig. 7 is a schematic diagram of the influence of the inlet temperature and pressure of the high-pressure turbine on the thermal efficiency of the cycle provided by the embodiment of the present application. It can be seen from Figure 7 that the optimal thermal efficiency of the cycle increases in a parabolic shape with the increase of the abscissa, and then decreases, that is, the optimal thermal efficiency of the cycle has a quadratic function relationship with the inlet pressure of the high-pressure turbine. This clearly shows that when the inlet temperature of the high-pressure turbine starts from 500°C to 700°C, the thermal efficiency of the cycle is not a simple linear function relationship with the inlet pressure of the high-pressure turbine. Instead, as the inlet pressure of the high-pressure turbine gradually increases between 20 and 37 MPa, appropriately increasing the inlet pressure of the high-pressure turbine in the cycle will help improve the thermal efficiency of the cycle, but it will be counterproductive if the temperature is too high. The optimum temperature is roughly 31 ℃ or so. In addition, it can also be seen from Figure 7 that the change of the inlet temperature of the high-pressure turbine will affect the optimal thermal efficiency of the cycle. This shows that increasing the inlet temperature of the high-pressure turbine is also beneficial to the improvement of the thermal efficiency of the cycle. The above simulation results show that the present invention has the ability to optimize the cycle thermal efficiency of the supercritical carbon dioxide cycle unit.
本申请实施例提供的方法具有如下优势,包括:The method provided in the embodiment of the present application has the following advantages, including:
采用主元分析法确定关键变量,能够大大降低建模的难度和减少建模的计算量;Using the principal component analysis method to determine the key variables can greatly reduce the difficulty of modeling and reduce the amount of calculation of modeling;
模型的建立过程比较简单,需要的信息量较少,所以本发明较其他方法更加利于实施,具有更强的实用性;The establishment process of the model is relatively simple and requires less information, so the present invention is more conducive to implementation and has stronger practicability than other methods;
本发明采用改进后的遗传算法,能够克服传统遗传算法局部搜索能力较差、计算费时的缺陷;The invention adopts the improved genetic algorithm, which can overcome the defects of poor local search ability and time-consuming calculation of the traditional genetic algorithm;
基于实际超临界二氧化碳循环机组热力学机理建立的模型,能适应不同工况下的循环热效率计算,具有更好的实用性和泛化能力。The model established based on the thermodynamic mechanism of the actual supercritical carbon dioxide cycle unit can adapt to the calculation of cycle thermal efficiency under different working conditions, and has better practicability and generalization ability.
本申请实施例提供一种存储介质,所述存储介质中存储有计算机程序,其中,所述计算机程序被设置为运行时执行上文任一项中所述的方法。An embodiment of the present application provides a storage medium, and a computer program is stored in the storage medium, wherein the computer program is configured to execute any one of the methods described above when running.
本申请实施例提供一种电子装置,包括存储器和处理器,所述存储器中存储有计算机程序,所述处理器被设置为运行所述计算机程序以执行上文任一项中所述的方法。An embodiment of the present application provides an electronic device, including a memory and a processor, where a computer program is stored in the memory, and the processor is configured to run the computer program to perform any of the methods described above.
本领域普通技术人员可以理解,上文中所公开方法中的全部或某些步骤、系统、装置中的功能模块/单元可以被实施为软件、固件、硬件及其适当的组合。在硬件实施方式中,在以上描述中提及的功能模块/单元之间的划分不一定对应于物理组件的划分;例如,一个物理组件可以具有多个功能,或者一个功能或步骤可以由若干物理组件合作执行。某些组件或所有组件可以被实施为由处理器,如数字信号处理器或微处理器执行的软件,或者被实施为硬件,或者被实施为集成电路,如专用集成电路。这样的软件可以分布在计算机可读介质上,计算机可读介质可以包括计算机存储介质(或非暂时性介质)和通信介质(或暂时性介质)。如本领域普通技术人员公知的,术语计算机存储介质包括在用于存储信息(诸如计算机可读指令、数据结构、程序模块或其他数据)的任何方法或技术中实施的易失性和非易失性、可移除和不可移除介质。计算机存储介质包括但不限于RAM、ROM、EEPROM、闪存或其他存储器技术、CD-ROM、数字多功能盘(DVD)或其他光盘存储、磁盒、磁带、磁盘存储或其他磁存储装置、或者可以用于存储期望的信息并且可以被计算机访问的任何其他的介质。此外,本领域普通技术人员公知的是,通信介质通常包含计算机可读指令、数据结构、程序模块或者诸如载波或其他传输机制之类的调制数据信号中的其他数据,并且可包括任何信息递送介质。Those of ordinary skill in the art can understand that all or some of the steps in the methods disclosed above, the functional modules/units in the system, and the device can be implemented as software, firmware, hardware, and an appropriate combination thereof. In a hardware implementation, the division between functional modules/units mentioned in the above description does not necessarily correspond to the division of physical components; for example, one physical component may have multiple functions, or one function or step may be composed of several physical components. Components cooperate to execute. Some or all of the components may be implemented as software executed by a processor, such as a digital signal processor or microprocessor, or as hardware, or as an integrated circuit, such as an application specific integrated circuit. Such software may be distributed on computer readable media, which may include computer storage media (or non-transitory media) and communication media (or transitory media). As known to those of ordinary skill in the art, the term computer storage media includes both volatile and nonvolatile media implemented in any method or technology for storage of information, such as computer readable instructions, data structures, program modules, or other data. permanent, removable and non-removable media. Computer storage media includes, but is not limited to, RAM, ROM, EEPROM, flash memory or other memory technology, CD-ROM, digital versatile disk (DVD) or other optical disk storage, magnetic cartridges, tape, magnetic disk storage or other magnetic storage devices, or can Any other medium used to store desired information and which can be accessed by a computer. In addition, as is well known to those of ordinary skill in the art, communication media typically embodies computer readable instructions, data structures, program modules, or other data in a modulated data signal such as a carrier wave or other transport mechanism, and may include any information delivery media .
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