Matrix modeling analysis method, device and equipment of heat exchange network and medium
Through matrix modeling analysis method, the temperature transfer matrix and effective heat transfer coefficient are constructed, which solves the problems of low calculation efficiency and insufficient accuracy of heat exchangers in the existing technology, and realizes efficient analysis and optimization of the heat exchange network, making it an industrial system Provides a basic operation.
Patent Information
- Application Number
- CN202411259386.8
- Authority / Receiving Office
- CN · China
- Patent Type
- Applications(China)
- Current Assignee / Owner
- Filing Date
- 2024-09-10
- Publication Date
- 2024-12-13
AI Technical Summary
The existing heat exchanger design and operation calculation methods are inefficient and insufficient in accuracy, which cannot meet the modern industry's demand for efficient heat exchange. Especially in complex heat exchange networks, the calculation time is long and the applicability is poor, and the data demand is high, making it difficult to quickly optimize. result.
The matrix modeling analysis method is used to construct the temperature transfer matrix of a single heat exchanger and expand it to multiple heat exchange network units. The effective heat transfer coefficient is identified through actual measured data, and the outlet temperature under different working conditions is calculated based on the matrix model. Reduce computational complexity and enable efficient analysis.
It realizes efficient analysis and calculation of the heat exchange network, reduces the computational complexity, provides an optimization basis for industrial system operation, and improves calculation accuracy and applicability.
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Figure CN119129139A_ABST
Abstract
Description
Technical Field
[0001] The present application relates to the field of optimized operation of heat exchangers, and in particular to a matrix modeling and analysis method, device, equipment and medium for a heat exchange network. Background Art
[0002] In industrial production, heat exchangers are widely used in high-energy-consuming industries such as petrochemicals, chemicals, and pharmaceuticals. Their optimized design is of great significance for reducing energy consumption and carbon emissions. However, the existing heat exchanger design and operation calculation methods have problems such as low efficiency and insufficient accuracy, which makes it difficult to meet the needs of modern industry for efficient heat exchange. Therefore, it is particularly important to develop an efficient and accurate heat exchanger and heat exchange network calculation method that can effectively solve the shortcomings of existing methods. Traditional heat exchanger calculation methods mainly rely on empirical formulas and iterative algorithms, but these methods have the following specific problems in the application process: low calculation efficiency, traditional methods usually require a large number of iterative calculations, especially when facing complex heat exchange networks, the calculation time increases significantly, and it is difficult to quickly obtain optimization results; insufficient accuracy, because the empirical formula is based on ideal conditions or specific experimental data, it cannot fully reflect the variable factors in actual working conditions, resulting in limited accuracy of the calculation results, affecting the optimization effect of the system; poor applicability, empirical formulas and iterative algorithms are often applicable to heat exchangers of a specific type or scale, and have poor applicability for diversified and complex industrial heat exchange systems, which limits the wide application of the methods; high data requirements, traditional methods usually require a large number of accurate physical parameters and boundary conditions, and obtaining these data is often time-consuming and difficult, which increases the complexity and uncertainty of the calculation. In order to solve these problems. Summary of the invention
[0003] The purpose of this application is to provide a matrix modeling and analysis method, device, equipment and medium for a heat exchange network, which can realize efficient analysis and calculation of the heat exchange network and provide a basis for the operation optimization of the industrial system.
[0004] To achieve the above objectives, this application provides the following solutions:
[0005] In a first aspect, the present application provides a matrix modeling and analysis method for a heat exchange network, the matrix modeling and analysis method comprising:
[0006] Construct the temperature transfer matrix for a single heat exchanger;
[0007] According to the temperature transfer matrix of a single heat exchanger, the temperature transfer matrix of various heat exchange network units is constructed; the various heat exchange network units include: parallel heat exchange network, series heat exchange network and multi-circuit heat exchange network;
[0008] According to the temperature transfer matrix of each heat exchange network unit, a matrix model of the target heat exchange network is constructed;
[0009] Identify the effective heat transfer coefficient of each heat exchanger in the target heat exchange network based on measured data;
[0010] Based on the matrix model of the target heat exchange network and the effective heat transfer coefficient of each heat exchanger in the target heat exchange network, the outlet temperature of the target heat exchange network under different working conditions is calculated.
[0011] Alternatively, the temperature transfer matrix for a single heat exchanger is:
[0012]
[0013] Among them, T h,o is the outlet temperature of the hot side fluid of the heat exchanger, T c,o is the outlet temperature of the fluid on the cold side of the heat exchanger, T h,i is the inlet temperature of the hot side fluid of the heat exchanger, T c,i is the inlet temperature of the cold side fluid of the heat exchanger, x is the first criterion parameter of the heat exchanger, y is the second criterion parameter of the heat exchanger, x=1 / (R s G h ), y = 1 / (R s G c ), R s is the standard thermal resistance of the heat exchanger, G h is the heat capacity flow of the hot side fluid of the heat exchanger, G c is the heat capacity flow of the fluid on the cold side of the heat exchanger.
[0014] Optionally, the cold side fluid is divided into n streams and flows into n heat exchangers for heat exchange, forming a parallel heat exchange network. When the heat exchange network unit is a parallel heat exchange network, the temperature transfer matrix of the heat exchange network unit is:
[0015]
[0016] Among them, T c,o ' is the outlet temperature of the cold side fluid of the heat exchange network unit, T c,i ' is the inlet temperature of the cold side fluid of the heat exchange network unit, T h,o,1 、T h,o,j 、T h,o,n are the outlet temperatures of the hot side fluid of the 1st, jth and nth heat exchangers of the heat exchange network unit, T h,i,1 、T h,i,j 、T h,i,n are the inlet temperatures of the hot side fluid of the 1st, jth and nth heat exchangers of the heat exchange network unit, respectively, x 1 、x j 、x n are the first criterion parameters of the 1st, jth and nth heat exchangers of the heat exchange network unit, respectively, y 1,y j ,y n are the second criterion parameters of the 1st, jth and nth heat exchangers of the heat exchange network unit respectively, and n is the number of heat exchangers in the heat exchange network unit.
[0017] Optionally, the cold side fluid flows into n heat exchangers in sequence to exchange heat with the hot fluid to form a series heat exchange network. When the heat exchange network unit is a series heat exchange network, the temperature transfer matrix of the heat exchange network unit is:
[0018]
[0019] Among them, T c,o ' is the outlet temperature of the cold side fluid of the heat exchange network unit, T c,i ' is the inlet temperature of the cold side fluid of the heat exchange network unit, T h,o,1 、T h,o,2 、T h,o,j 、T h,o,n-1 、T h,o,n are the outlet temperatures of the hot side fluid of the 1st, 2nd, jth, n-1th and nth heat exchangers of the heat exchange network unit, T h,i,1 、T h,i,2 、T h,i,j 、T h,o,n-1 、T h,i,n are the inlet temperatures of the hot side fluid of the first, second, jth, n-1th and nth heat exchangers of the heat exchange network unit, respectively, x 1 、x j 、x n-1 、x n are the first criterion parameters of the 1st, jth, n-1th and nth heat exchangers of the heat exchange network unit, respectively, 1 ,y j ,y j-m ,y n-1-m ,y n-m ,y j-1 ,y n-2 ,y n-1 ,y n They are the second criterion parameters of the 1st, jth, jmth, n-1-mth, nmth, j-1th, n-2th, n-1th and nth heat exchangers of the heat exchange network unit respectively, and n is the number of heat exchangers in the heat exchange network unit.
[0020] Optionally, the hot and cold fluids pass through n heat exchangers and exchange heat through n-1 intermediate circuits to form a multi-circuit heat exchange network. When the heat exchange network unit is a multi-circuit heat exchange network, the temperature transfer matrix of the heat exchange network unit is:
[0021]
[0022] Among them, T c,i '、T c,o ' and G c ' are the inlet and outlet temperatures and heat capacity flow of the cold fluid in the heat exchange network unit, T h,o '、T h,i ' and G h ' are the inlet and outlet temperatures and heat capacity flow of the hot fluid in the heat exchange network unit, respectively, x j is the first criterion parameter of the jth heat exchanger in the heat exchange network unit, y j is the second criterion parameter of the jth heat exchanger in the heat exchange network unit, G j' is the heat capacity flow of the fluid in the j'th intermediate circuit of the heat exchange network unit, and n is the number of heat exchangers in the heat exchange network unit.
[0023] Optionally, identifying the effective heat transfer coefficient of each heat exchanger in the target heat exchange network based on measured data specifically includes:
[0024] Measuring the inlet and outlet temperatures and heat capacity flow of the hot side fluid of each heat exchanger in the target heat exchange network and the inlet and outlet temperatures and heat capacity flow of the cold side fluid of each heat exchanger in the target heat exchange network;
[0025] According to the inlet and outlet temperatures and heat capacity flow of the hot side fluid of each heat exchanger in the target heat exchange network and the inlet and outlet temperatures and heat capacity flow of the cold side fluid of each heat exchanger in the target heat exchange network, the effective heat transfer coefficient of the target heat exchanger is calculated by using the logarithmic mean temperature difference method.
[0026] Optionally, the logarithmic mean temperature difference method is used to calculate the effective heat transfer coefficient of each heat exchanger in the target heat exchange network:
[0027]
[0028] Among them, Δt LMTD is the logarithmic mean temperature difference, Δt max is the larger of the inlet and outlet temperature differences of the heat exchanger, Δt min The smaller of the inlet and outlet temperature differences of the heat exchanger, Q h , Q c are the heat released by the hot side fluid and the heat absorbed by the cold side fluid of the heat exchanger, Q h =G h (T h,i -T h,o ), Q c =G c (T c,o -T c,i) , G h is the heat capacity flow of the hot side fluid of the heat exchanger, Gc is the heat capacity flow of the fluid on the cold side of the heat exchanger.
[0029] In a second aspect, the present application provides a matrix modeling and analysis device for a heat exchange network, wherein the matrix modeling and analysis device for a heat exchange network applies the above-mentioned matrix modeling and analysis method for a heat exchange network, and the matrix modeling and analysis device for a heat exchange network comprises:
[0030] A first temperature transfer matrix building module is used to build a temperature transfer matrix of a single heat exchanger;
[0031] The second temperature transfer matrix construction module is used to construct temperature transfer matrices of various heat exchange network units according to the temperature transfer matrix of a single heat exchanger; the various heat exchange network units include: parallel heat exchange network, series heat exchange network and multi-circuit heat exchange network;
[0032] A matrix model building module, used to build a matrix model of a target heat exchange network according to the temperature transfer matrix of each heat exchange network unit;
[0033] A parameter identification module, used to identify the effective heat transfer coefficient of each heat exchanger in the target heat exchange network based on measured data;
[0034] The analysis and calculation module is used to calculate the outlet temperature of the target heat exchange network under different working conditions based on the matrix model of the target heat exchange network and the effective heat transfer coefficient of each heat exchanger in the target heat exchange network.
[0035] In a third aspect, the present application provides a computer device, comprising: a memory, a processor, and a computer program stored in the memory and executable on the processor, wherein the processor executes the computer program to implement the above-mentioned matrix modeling and analysis method.
[0036] In a fourth aspect, the present application provides a computer-readable storage medium having a computer program stored thereon, which implements the above-mentioned matrix modeling and analysis method when executed by a processor.
[0037] According to the specific embodiments provided in this application, this application discloses the following technical effects:
[0038] The present application provides a matrix modeling and analysis method, device, equipment and medium for a heat exchange network. The present application first constructs a temperature transfer matrix of a single heat exchanger, and based on this, provides three basic typical temperature transfer matrices of heat exchange network units to construct a more complex matrix model of a target heat exchange network; based on the measured data of the heat exchanger, the structural parameters of the heat exchanger are identified by the logarithmic mean temperature difference method, and the outlet temperature under different working conditions is calculated in combination with the matrix model, so that it can be applied to actual engineering. According to the actual inlet temperature and heat capacity flow measured by the sensor and the effective heat transfer coefficient of all heat exchangers identified, the outlet temperature under different working conditions is calculated through the temperature transfer matrix of the target heat exchange network. The present application adopts the method of constructing a temperature transfer matrix for direct calculation to perform analysis and calculation of the heat exchange network, without the need for a cyclic process, which reduces the computational complexity, realizes efficient analysis and calculation of the heat exchange network, and provides a basis for the operation optimization of industrial systems. BRIEF DESCRIPTION OF THE DRAWINGS
[0039] In order to more clearly illustrate the embodiments of the present application or the technical solutions in the prior art, the drawings required for use in the embodiments will be briefly introduced below. Obviously, the drawings described below are only some embodiments of the present application. For ordinary technicians in this field, other drawings can be obtained based on these drawings without paying creative work.
[0040] Figure 1 This is an application environment diagram of a matrix modeling and analysis method for a heat exchange network in one embodiment of the present application;
[0041] Figure 2 A schematic diagram of a flow chart of a matrix modeling and analysis method for a heat exchange network provided in one embodiment of the present application;
[0042] Figure 3 A schematic diagram of the structure of a single heat exchanger provided in one embodiment of the present application;
[0043] Figure 4 A schematic diagram of the structure of a parallel heat exchange network provided in one embodiment of the present application;
[0044] Figure 5 A schematic diagram of the structure of a series heat exchange network provided in one embodiment of the present application;
[0045] Figure 6 A schematic diagram of the structure of a multi-circuit heat exchange network provided in one embodiment of the present application;
[0046] Figure 7 A detailed schematic diagram of a process for calculating the outlet temperature of a target heat exchange network under different working conditions provided in an embodiment of the present application;
[0047] Figure 8A schematic diagram of the structure of a computer device provided in one embodiment of the present application. DETAILED DESCRIPTION
[0048] The following will be combined with the drawings in the embodiments of the present application to clearly and completely describe the technical solutions in the embodiments of the present application. Obviously, the described embodiments are only part of the embodiments of the present application, not all of the embodiments. Based on the embodiments in the present application, all other embodiments obtained by ordinary technicians in this field without creative work are within the scope of protection of this application.
[0049] In order to make the above-mentioned objects, features and advantages of the present application more obvious and easy to understand, the present application is further described in detail below with reference to the accompanying drawings and specific implementation methods.
[0050] The matrix modeling and analysis method of the heat exchange network provided in the embodiment of the present application can be applied to Figure 1 In the application environment shown. Among them, the terminal 102 communicates with the server 104 through the network. The data storage system can store the data that the server 104 needs to process. The data storage system can be set up separately, integrated on the server 104, or placed on the cloud or other servers. The terminal 102 can send the measured data to the server 104, and the server 104 receives the measured data. For the measured data, the server 104 identifies the effective heat transfer coefficient of each heat exchanger in the target heat exchange network according to each measured data; based on the matrix model of the target heat exchange network and the effective heat transfer coefficient of each heat exchanger in the target heat exchange network, the outlet temperature of the target heat exchange network under different working conditions is calculated. The server 104 can feedback the obtained complementary index to the terminal 102. In addition, in some embodiments, the matrix modeling and analysis method of the heat exchange network can also be implemented separately by the server 104 or the terminal 102, such as the terminal 102 can directly process the measured data, or the server 104 can obtain the measured data from the data storage system and process each measured data.
[0051] The terminal 102 may be connected to a power plant, a heat exchanger, a fuel cell system, etc. to obtain measured data. The server 104 may be implemented as an independent server or a server cluster composed of multiple servers, or may be a cloud server.
[0052] In an exemplary embodiment, Figure 2 As shown, a matrix modeling and analysis method for a heat exchange network is provided. The method is executed by a computer device, and can be executed by a computer device such as a terminal or a server alone, or by a terminal and a server together. In the embodiment of the present application, the method is applied to Figure 1The server 104 in the example is used as an example to illustrate, including the following steps 201 to 205. Among them:
[0053] Step 201: construct a temperature transfer matrix for a single heat exchanger.
[0054] Step 202, constructing temperature transfer matrices of various heat exchange network units according to the temperature transfer matrix of a single heat exchanger; the various heat exchange network units include: parallel heat exchange network, series heat exchange network and multi-loop heat exchange network.
[0055] Step 203: construct a matrix model of the target heat exchange network according to the temperature transfer matrix of each heat exchange network unit.
[0056] Step 204: Identify the effective heat transfer coefficient of each heat exchanger in the target heat exchange network based on the measured data.
[0057] Step 205 , based on the matrix model of the target heat exchange network and the effective heat transfer coefficient of each heat exchanger in the target heat exchange network, calculate the outlet temperature of the target heat exchange network under different working conditions.
[0058] By implementing the above steps 201 to 205, efficient analysis and calculation of the heat exchange network can be achieved.
[0059] In another exemplary embodiment of the present application, for example Figure 3 The structure of the heat exchanger shown in the figure, the way to construct the temperature transfer matrix of a single heat exchanger is:
[0060] The operating criteria and temperature transfer matrix of a single heat exchanger are derived from the outlet temperature of the hot and cold side fluids of the heat exchanger according to the standard thermal resistance method to obtain the operating criteria of the heat exchanger, that is, to determine whether the heat exchanger is within the normal working range according to the inlet temperature and heat capacity flow of the hot and cold side fluids and the standard thermal resistance of the heat exchanger. Then the temperature transfer matrix of the heat exchanger is obtained, and the outlet temperature can be calculated according to the inlet temperature and transfer matrix. The specific derivation results are as follows:
[0061] Standard thermal resistance R s for:
[0062]
[0063] in is the correction factor of the heat exchanger structure, φ is always less than or equal to 1. K is the heat transfer coefficient, and A is the heat transfer area. The product of K and A is the effective heat transfer coefficient of the heat exchanger. h and G c represents the heat capacity flow of cold and hot fluids respectively, and is the mass flow rate (m h ,m c) and specific heat capacity (c p,h ,c p,c )
[0064] The relationship between the inlet and outlet temperatures of the hot side fluid and the cold side fluid is:
[0065]
[0066] Where x = 1 / (R s G h ), y = 1 / (R s G c ), T h,i 、T h,o are the inlet and outlet temperatures of the hot fluid, T c,i 、T c,o are the inlet and outlet temperatures of the cold fluid, respectively.
[0067] The heat exchanger operation criteria are:
[0068] 0<x,y<1;
[0069] Among them, x and y only depend on the effective heat transfer coefficient of the heat exchanger and the heat capacity flow of the hot and cold fluids. Therefore, there is no need to measure any fluid temperature, just calculate the values of x and y to determine whether the heat exchanger is in the normal working range.
[0070] The temperature transfer matrix equation of hot and cold fluids is:
[0071]
[0072] Among them, T h,o is the outlet temperature of the hot side fluid of the heat exchanger, T c,o is the outlet temperature of the fluid on the cold side of the heat exchanger, T h,i is the inlet temperature of the hot side fluid of the heat exchanger, T c,i is the inlet temperature of the cold side fluid of the heat exchanger, x is the first criterion parameter of the heat exchanger, y is the second criterion parameter of the heat exchanger, x=1 / (R s G h ), y = 1 / (R s G c ), R s is the standard thermal resistance of the heat exchanger, G h is the heat capacity flow of the hot side fluid of the heat exchanger, G c is the heat capacity flow of the fluid on the cold side of the heat exchanger.
[0073] The temperature transfer matrix of the basic typical heat exchange network (i.e., heat exchange network unit) is based on parallel (such as Figure 4 As shown), series connection (as Figure 5 as shown) and multiple loops (as shown Figure 6The standard thermal resistance model of three basic typical heat exchange networks (as shown in Figure 1) is used to derive the inlet and outlet temperature relationship of each heat exchanger, and the corresponding temperature transfer matrix is obtained to construct a matrix model of the heat exchange network. The specific derivation results are as follows:
[0074] like Figure 4 As shown, in the physical model of the parallel heat exchange network, the inlet temperature is T c,i The cold fluid flows into n heat exchangers and absorbs heat from the hot fluid. h,i,j is the hot fluid inlet temperature of the jth heat exchanger, R s,j and Q j is the standard thermal resistance and heat transfer rate of the jth heat exchanger, T c,o is the outlet temperature of the cold side fluid.
[0075] Temperature transfer matrix of parallel heat exchange network:
[0076]
[0077] Among them, T c,o ' is the outlet temperature of the cold side fluid of the heat exchange network unit, T c,i ' is the inlet temperature of the cold side fluid of the heat exchange network unit, T h,o,1 、T h,o,j 、T h,o,n are the outlet temperatures of the hot side fluid of the 1st, jth and nth heat exchangers of the heat exchange network unit, T h,i,1 、T h,i,j 、T h,i,n are the inlet temperatures of the hot side fluid of the 1st, jth and nth heat exchangers of the heat exchange network unit, respectively, x 1 、x j 、x n are the first criterion parameters of the 1st, jth and nth heat exchangers of the heat exchange network unit, respectively, y 1 ,y j ,y n are the second criterion parameters of the 1st, jth and nth heat exchangers of the heat exchange network unit respectively, and n is the number of heat exchangers in the heat exchange network unit.
[0078] like Figure 5 As shown in the physical model of the series heat exchange network, the cold fluid flows through n heat exchangers in sequence to exchange heat with the hot fluid. c is the heat capacity flow of the cold fluid, G h,j is the heat capacity flow of the hot fluid in the jth heat exchanger.
[0079] The temperature transfer matrix of the series heat exchange network:
[0080]
[0081] Among them, T c,o ' is the outlet temperature of the cold side fluid of the heat exchange network unit, T c,i ' is the inlet temperature of the cold side fluid of the heat exchange network unit, T h,o,1 、T h,o,2 、T h,o,j 、T h,o,n-1 、T h,o,n are the outlet temperatures of the hot side fluid of the 1st, 2nd, jth, n-1th and nth heat exchangers of the heat exchange network unit, T h,i,1 、T h,i,2 、T h,i,j 、T h,o,n-1 、T h,i,n are the inlet temperatures of the hot side fluid of the first, second, jth, n-1th and nth heat exchangers of the heat exchange network unit, respectively, x 1 、x j 、x n-1 、x n are the first criterion parameters of the 1st, jth, n-1th and nth heat exchangers of the heat exchange network unit, respectively, 1 ,y j ,y j-m ,y n-1-m ,y n-m ,y j-1 ,y n-2 ,y n-1 ,y n They are the second criterion parameters of the 1st, jth, jmth, n-1-mth, nmth, j-1th, n-2th, n-1th and nth heat exchangers of the heat exchange network unit respectively, and n is the number of heat exchangers in the heat exchange network unit.
[0082] like Figure 6 As shown, in the physical model of the multi-circuit heat exchange network, the inlet temperature is T h,i and T c,i The hot fluid and the cold fluid exchange heat through n-1 intermediate circuits, which are connected to n heat exchangers, and the heat exchange capacity of each heat exchanger is Q. In the circuit, the fluid absorbs heat through one heat exchanger and then releases heat through another heat exchanger, thus forming a cycle. j' is the heat capacity flow of the j'th intermediate loop fluid.
[0083] Temperature transfer matrix of multi-circuit heat exchange network:
[0084]
[0085] Among them, T c,i '、T c,o ' and G c' are the inlet and outlet temperatures and heat capacity flow of the cold fluid in the heat exchange network unit, T h,o '、T h,i ' and G h ' are the inlet and outlet temperatures and heat capacity flow of the hot fluid in the heat exchange network unit, respectively, x j is the first criterion parameter of the jth heat exchanger in the heat exchange network unit, y j is the second criterion parameter of the jth heat exchanger in the heat exchange network unit, G j' is the heat capacity flow of the fluid in the j'th intermediate circuit of the heat exchange network unit, and n is the number of heat exchangers in the heat exchange network unit.
[0086] In the above step 203, the target heat exchange network can be analyzed to determine the heat exchange network units it contains and the relationship between the heat exchange network units, and the temperature transfer matrices of the heat exchange network units can be combined to construct a matrix model.
[0087] In order to identify the effective heat transfer coefficient of each heat exchanger in the target heat exchange network based on the measured data, the above step 204 is replaced by the following steps 301 to 303:
[0088] Step 301 , measuring the inlet and outlet temperatures and heat capacity flow of the hot side fluid of each heat exchanger in the target heat exchange network and the inlet and outlet temperatures and heat capacity flow of the cold side fluid of each heat exchanger in the target heat exchange network.
[0089] Step 302, based on the inlet and outlet temperatures and heat capacity flow of the hot side fluid of each heat exchanger in the target heat exchange network and the inlet and outlet temperatures and heat capacity flow of the cold side fluid of each heat exchanger in the target heat exchange network, the effective heat transfer coefficient of the target heat exchanger is calculated using the logarithmic mean temperature difference method.
[0090] Logarithmic mean temperature difference Δt LMTD for:
[0091]
[0092] Structural parameter identification method:
[0093]
[0094] Where Q h =G h (T h,i -T h,o ),Q c =G c (T c,o -T c,i ).
[0095] Among them, Δt LMTD is the logarithmic mean temperature difference, Δt max is the larger of the inlet and outlet temperature differences of the heat exchanger, Δt min The smaller of the inlet and outlet temperature differences of the heat exchanger, Q h , Q c are the heat released by the hot side fluid and the heat absorbed by the cold side fluid of the heat exchanger, Q h =G h (T h,i -T h,o ), Q c =G c (T c,o -T c,i) , G h is the heat capacity flow of the hot side fluid of the heat exchanger, G c is the heat capacity flow of the fluid on the cold side of the heat exchanger.
[0096] The outlet temperature under different working conditions is calculated by measuring a set of inlet and outlet temperatures and heat capacity flow to obtain the heat transfer capacity of the heat exchanger, and then the effective heat transfer coefficient of the heat exchanger is obtained according to the logarithmic mean temperature difference method. When the working conditions change, only the inlet temperature and heat capacity flow need to be measured to judge the operating state of the heat exchanger, and the temperature transfer matrix can be obtained to calculate the outlet temperature, such as Figure 7 As shown, the standard thermal resistance can be calculated based on the effective heat transfer coefficient and inlet temperature using the formula of standard thermal resistance, and then two criterion parameters can be calculated. Substituting the operating criterion parameters into the matrix model can realize the calculation of the outlet temperature. The criterion parameters can also determine whether the heat exchanger is operating normally.
[0097] In order to make the purpose, technical solutions and advantages of the embodiments of the present invention clearer, the technical solutions in the above embodiments of the present application will be clearly and completely described below in combination with specific embodiments. Obviously, the described embodiments are part of the embodiments of the present invention, rather than all the embodiments.
[0098] Based on experimental measurements, the temperature and heat capacity flow parameters in Table 1 were obtained.
[0099] Table 1 Heat exchanger measurement data
[0100]
[0101]
[0102] The heat transfer rate and logarithmic mean temperature difference were calculated, and the effective heat transfer coefficient of the heat exchanger was identified and listed in Table 2.
[0103] Table 2 Heat transfer, logarithmic mean temperature difference and effective heat transfer coefficient
[0104]
[0105] Therefore, the effective heat transfer coefficient of the heat exchanger It is 568.73W / K.
[0106] Table 3 lists the inlet temperature and heat capacity flow measured when the heat exchanger is running under variable conditions.
[0107] Table 3 Variable operating parameters of heat exchanger
[0108] <![CDATA[T c,i (K)]]> <![CDATA[G c (W / K)]]> <![CDATA[T h,i (K)]]> <![CDATA[G h (W / K)]]> 21.25 400.1083 59.08 2218.883 21.65 449.0269 55.81 2218.883 20.63 504.3462 54.06 2218.883 20.59 548.2435 52.79 2218.883 21.69 594.0068 50.93 2218.883
[0109] Calculate the standard thermal resistance R s , x and y are listed in Table 4.
[0110] Table 4 Parameter calculation results
[0111]
[0112]
[0113] It can be judged that the heat exchangers are in normal operating state. Finally, the corresponding outlet temperatures are calculated according to the temperature transfer matrix and are listed in Table 5.
[0114] Table 5 Calculation results of outlet temperature
[0115] <![CDATA[T h,o (K)]]> <![CDATA[T c,o (K)]]> 54.11 48.83 51.06 45.10 49.18 42.12 47.93 40.27 46.38 38.68
[0116] Based on the same inventive concept, the embodiment of the present application also provides a matrix modeling and analysis device for a heat exchange network for implementing the matrix modeling and analysis method for a heat exchange network involved above. The implementation scheme for solving the problem provided by the device is similar to the implementation scheme recorded in the above method, so the specific limitations in the embodiments of the matrix modeling and analysis device for one or more heat exchange networks provided below can be referred to the limitations of the matrix modeling and analysis method for heat exchange networks above, and will not be repeated here.
[0117] In an exemplary embodiment, a matrix modeling and analysis device for a heat exchange network is provided, comprising:
[0118] The first temperature transfer matrix construction module is used to construct the temperature transfer matrix of a single heat exchanger.
[0119] The second temperature transfer matrix construction module is used to construct temperature transfer matrices of various heat exchange network units according to the temperature transfer matrix of a single heat exchanger; the various heat exchange network units include: parallel heat exchange network, series heat exchange network and multi-loop heat exchange network.
[0120] The matrix model building module is used to build a matrix model of the target heat exchange network according to the temperature transfer matrix of each heat exchange network unit.
[0121] The parameter identification module is used to identify the effective heat transfer coefficient of each heat exchanger in the target heat exchange network based on measured data.
[0122] The analysis and calculation module is used to calculate the outlet temperature of the target heat exchange network under different working conditions based on the matrix model of the target heat exchange network and the effective heat transfer coefficient of each heat exchanger in the target heat exchange network.
[0123] In an exemplary embodiment, a computer device is provided. The computer device may be a server or a terminal. The internal structure diagram thereof may be as follows: Figure 8 As shown. The computer device includes a processor, a memory, an input / output interface (Input / Output, referred to as I / O) and a communication interface. Among them, the processor, the memory and the input / output interface are connected through a system bus, and the communication interface is connected to the system bus through the input / output interface. Among them, the processor of the computer device is used to provide computing and control capabilities. The memory of the computer device includes a non-volatile storage medium and an internal memory. The non-volatile storage medium stores an operating system, a computer program and a database. The internal memory provides an environment for the operation of the operating system and the computer program in the non-volatile storage medium. The database of the computer device is used to store data determined by complementarity. The input / output interface of the computer device is used to exchange information between the processor and an external device. The communication interface of the computer device is used to communicate with an external terminal through a network connection. When the computer program is executed by the processor, a matrix modeling and analysis method for a heat exchange network is implemented.
[0124] Those skilled in the art will understand that Figure 8 The structure shown in the figure is only a block diagram of a part of the structure related to the solution of the present application, and does not constitute a limitation on the computer device to which the solution of the present application is applied. The specific computer device may include more or fewer components than those shown in the figure, or combine certain components, or have a different arrangement of components.
[0125] In an exemplary embodiment, a computer device is also provided, including a memory and a processor, wherein a computer program is stored in the memory, and when the processor executes the computer program, the steps in the above-mentioned matrix modeling and analysis method embodiment of the heat exchange network are implemented.
[0126] In an exemplary embodiment, a computer-readable storage medium is provided, storing a computer program, which, when executed by a processor, implements the steps in the above-mentioned matrix modeling and analysis method embodiment of the heat exchange network.
[0127] Those of ordinary skill in the art can understand that all or part of the processes in the above-mentioned embodiment methods can be completed by instructing the relevant hardware through a computer program, and the computer program can be stored in a non-volatile computer-readable storage medium. When the computer program is executed, it can include the processes of the embodiments of the above-mentioned methods. Among them, any reference to the memory, database or other medium used in the embodiments provided in the present application can include at least one of non-volatile and volatile memory. Non-volatile memory can include read-only memory (ROM), magnetic tape, floppy disk, flash memory, optical memory, high-density embedded non-volatile memory, resistive random access memory (ReRAM), magnetic random access memory (MRAM), ferroelectric random access memory (FRAM), phase change memory (PCM), graphene memory, etc. Volatile memory can include random access memory (RAM) or external cache memory, etc. By way of illustration and not limitation, RAM may be in various forms, such as static random access memory (SRAM) or dynamic random access memory (DRAM).
[0128] The database involved in each embodiment provided in this application may include at least one of a relational database and a non-relational database. The non-relational database may include a distributed database based on blockchain, etc., but is not limited thereto. The processor involved in each embodiment provided in this application may be a general-purpose processor, a central processing unit, a graphics processor, a digital signal processor, a programmable logic device, etc., but is not limited thereto.
[0129] The technical features of the above embodiments may be combined arbitrarily. To make the description concise, not all possible combinations of the technical features in the above embodiments are described. However, as long as there is no contradiction in the combination of these technical features, they should be considered to be within the scope of this specification.
[0130] This article uses specific examples to illustrate the principles and implementation methods of this application. The description of the above embodiments is only used to help understand the method and core ideas of this application. At the same time, for those skilled in the art, according to the ideas of this application, there will be changes in the specific implementation methods and application scope. In summary, the content of this specification should not be understood as limiting this application.
Claims
1. A matrix modeling and analysis method for a heat exchange network, characterized in that: The matrix modeling and analysis method of the heat exchange network includes: Construct the temperature transfer matrix for a single heat exchanger; According to the temperature transfer matrix of a single heat exchanger, the temperature transfer matrix of various heat exchange network units is constructed; the various heat exchange network units include: parallel heat exchange network, series heat exchange network and multi-circuit heat exchange network; According to the temperature transfer matrix of each heat exchange network unit, a matrix model of the target heat exchange network is constructed; Identify the effective heat transfer coefficient of each heat exchanger in the target heat exchange network based on measured data; Based on the matrix model of the target heat exchange network and the effective heat transfer coefficient of each heat exchanger in the target heat exchange network, the outlet temperature of the target heat exchange network under different working conditions is calculated.
2. The matrix modeling and analysis method of the heat exchange network according to claim 1 is characterized in that: The temperature transfer matrix for a single heat exchanger is: Among them, T h,o is the outlet temperature of the hot side fluid of the heat exchanger, T c,o is the outlet temperature of the fluid on the cold side of the heat exchanger, T h,i is the inlet temperature of the hot side fluid of the heat exchanger, T c,i is the inlet temperature of the cold side fluid of the heat exchanger, x is the first criterion parameter of the heat exchanger, y is the second criterion parameter of the heat exchanger, x=1 / (R s G h ), y = 1 / (R s G c ), R s is the standard thermal resistance of the heat exchanger, G h is the heat capacity flow of the hot side fluid of the heat exchanger, G c is the heat capacity flow of the fluid on the cold side of the heat exchanger.
3. The matrix modeling and analysis method for heat exchange network according to claim 1, characterized in that: The cold side fluid is divided into n streams and flows into n heat exchangers for heat exchange, forming a parallel heat exchange network. When the heat exchange network unit is a parallel heat exchange network, the temperature transfer matrix of the heat exchange network unit is: Among them, T c,o ' is the outlet temperature of the cold side fluid of the heat exchange network unit, T c,i ' is the inlet temperature of the cold side fluid of the heat exchange network unit, T h,o,1 , T h,o,j , T h,o,n are the outlet temperatures of the hot side fluid of the 1st, jth and nth heat exchangers of the heat exchange network unit, T h,i,1 , T h,i,j , T h,i,n are the inlet temperatures of the hot side fluid of the 1st, jth and nth heat exchangers of the heat exchange network unit, x1, x j 、x n are the first criterion parameters of the 1st, jth and nth heat exchangers of the heat exchange network unit, y1, y j ,y n are the second criterion parameters of the 1st, jth and nth heat exchangers of the heat exchange network unit respectively, and n is the number of heat exchangers in the heat exchange network unit.
4. The matrix modeling and analysis method for heat exchange network according to claim 1, characterized in that: The cold side fluid flows into n heat exchangers in sequence to exchange heat with the hot fluid, forming a series heat exchange network. When the heat exchange network unit is a series heat exchange network, the temperature transfer matrix of the heat exchange network unit is: Among them, T c,o ' is the outlet temperature of the cold side fluid of the heat exchange network unit, T c,i ' is the inlet temperature of the cold side fluid of the heat exchange network unit, T h,o,1 , T h,o,2 , T h,o,j , T h,o,n-1 , T h,o,n are the outlet temperatures of the hot side fluid of the 1st, 2nd, jth, n-1th and nth heat exchangers of the heat exchange network unit, T h,i,1 , T h,i,2 , T h,i,j , T h,o,n-1 , T h,i,n are the inlet temperatures of the hot side fluid of the first, second, jth, n-1th, and nth heat exchangers of the heat exchange network unit, respectively, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x219, x220, x23, x24, x25 j 、x n-1 、x n are the first criterion parameters of the 1st, jth, n-1th and nth heat exchangers of the heat exchange network unit, y1, y j ,y j-m ,y n-1-m ,y n-m ,y j-1 ,y n-2 ,y n-1 ,y n They are the second criterion parameters of the 1st, jth, jmth, n-1-mth, nmth, j-1th, n-2th, n-1th and nth heat exchangers of the heat exchange network unit respectively, and n is the number of heat exchangers in the heat exchange network unit.
5. The matrix modeling and analysis method for heat exchange network according to claim 1, characterized in that: The hot and cold fluids pass through n heat exchangers and exchange heat through n-1 intermediate circuits to form a multi-circuit heat exchange network. When the heat exchange network unit is a multi-circuit heat exchange network, the temperature transfer matrix of the heat exchange network unit is: Among them, T c,i '、T c,o ' and G c ' are the inlet and outlet temperatures and heat capacity flow of the cold fluid in the heat exchange network unit, T h,o '、T h,i ' and G h ' are the inlet and outlet temperatures and heat capacity flow of the hot fluid in the heat exchange network unit, respectively, x j is the first criterion parameter of the jth heat exchanger in the heat exchange network unit, y j is the second criterion parameter of the jth heat exchanger in the heat exchange network unit, G j' is the heat capacity flow of the fluid in the j'th intermediate circuit of the heat exchange network unit, and n is the number of heat exchangers in the heat exchange network unit.
6. The matrix modeling and analysis method for heat exchange network according to claim 1, characterized in that: Based on the measured data, the effective heat transfer coefficient of each heat exchanger in the target heat exchange network is identified, including: Measuring the inlet and outlet temperatures and heat capacity flow of the hot side fluid of each heat exchanger in the target heat exchange network and the inlet and outlet temperatures and heat capacity flow of the cold side fluid of each heat exchanger in the target heat exchange network; According to the inlet and outlet temperatures and heat capacity flow of the hot side fluid of each heat exchanger in the target heat exchange network and the inlet and outlet temperatures and heat capacity flow of the cold side fluid of each heat exchanger in the target heat exchange network, the effective heat transfer coefficient of the target heat exchanger is calculated by using the logarithmic mean temperature difference method.
7. The matrix modeling and analysis method for heat exchange network according to claim 6, characterized in that: Using the logarithmic mean temperature difference method, the formula for calculating the effective heat transfer coefficient of each heat exchanger in the target heat exchange network is: Among them, Δt LMTD is the logarithmic mean temperature difference, Δt max is the larger of the inlet and outlet temperature differences of the heat exchanger, Δt min The smaller of the inlet and outlet temperature differences of the heat exchanger, Q h , Q c are the heat released by the hot side fluid and the heat absorbed by the cold side fluid of the heat exchanger, Q h =G h (T h,i -T h,o ), Q c =G c (T c,o -T c,i) , G h is the heat capacity flow of the hot side fluid of the heat exchanger, G c is the heat capacity flow of the fluid on the cold side of the heat exchanger.
8. A matrix modeling and analysis device for a heat exchange network, characterized in that: The matrix modeling and analysis device for the heat exchange network applies the matrix modeling and analysis method for the heat exchange network according to any one of claims 1 to 7, and the matrix modeling and analysis device for the heat exchange network comprises: A first temperature transfer matrix building module is used to build a temperature transfer matrix of a single heat exchanger; The second temperature transfer matrix construction module is used to construct temperature transfer matrices of various heat exchange network units according to the temperature transfer matrix of a single heat exchanger; the various heat exchange network units include: parallel heat exchange network, series heat exchange network and multi-circuit heat exchange network; A matrix model building module, used to build a matrix model of a target heat exchange network according to the temperature transfer matrix of each heat exchange network unit; A parameter identification module, used to identify the effective heat transfer coefficient of each heat exchanger in the target heat exchange network based on measured data; The analysis and calculation module is used to calculate the outlet temperature of the target heat exchange network under different working conditions based on the matrix model of the target heat exchange network and the effective heat transfer coefficient of each heat exchanger in the target heat exchange network.
9. A computer device comprising: A memory, a processor, and a computer program stored in the memory and executable on the processor, wherein the processor executes the computer program to implement the matrix modeling and analysis method according to any one of claims 1 to 7.
10. A computer-readable storage medium having a computer program stored thereon, characterized in that: When the computer program is executed by a processor, the matrix modeling and analysis method described in any one of claims 1 to 7 is implemented.
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