Tunnel fire water and electricity heat tracing heating optimization method, system, device and medium

By constructing a network model of time-ambient temperature-water temperature inside the pipeline, the opening and closing times of the electric heat tracing device are optimized, solving the problem of low energy utilization efficiency in tunnel fire protection. This achieves efficient energy utilization and energy conservation and emission reduction, and is suitable for electric heat tracing heating of tunnel fire protection water in high-altitude and cold environments.

CN117891294BActive Publication Date: 2026-08-25LANZHOU JIAOTONG UNIV
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Patent Information

Application Number
CN202410063193.9
Authority / Receiving Office
CN · China
Patent Type
Patents(China)
Current Assignee / Owner
Filing Date
2024-01-16
Publication Date
2026-08-25
Estimated Expiration
2044-01-16

AI Technical Summary

Technical Problem

Existing electric heat tracing technology has low energy utilization efficiency in tunnel fire protection and is difficult to achieve effective energy conservation and emission reduction, especially in high-altitude and cold environments.

Method used

By constructing a network model of time-ambient temperature-water temperature inside the pipeline, and based on the objective function and condition constraints, an optimization model for electric heat tracing is built to finely control the on-off time of the electric heat tracing device and optimize the utilization of electrical energy.

Benefits of technology

It achieves efficient use of electrical energy, reduces energy waste, ensures the normal use of tunnel fire-fighting water in high-altitude and cold environments, protects people's property safety, and meets the future development needs of electric heat tracing technology for tunnel fire-fighting water in high-altitude and cold environments.

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Abstract

The application discloses a tunnel fire-fighting water-electric heat tracing heating optimization method, system, device and medium, and relates to the technical field of tunnel fire-fighting. The method comprises the following steps: acquiring associated data of tunnel fire-fighting; the associated data comprises water use time, a physical network, an environmental temperature and a pipe-in-water temperature; a time-environmental temperature-pipe-in-water temperature network model is constructed according to the associated data; the nodes in the time-environmental temperature-pipe-in-water temperature network model are determined by discretizing the water use time; a target function is constructed based on the time-environmental temperature-pipe-in-water temperature network model; an electric heat tracing heating optimization model is constructed according to the target function and conditional constraints, and the heating time is controlled by using the electric heat tracing heating optimization model. The application can realize efficient utilization of electric energy, play a role in energy saving and emission reduction, and meet the needs of the development of tunnel fire-fighting water-electric heat tracing heating technology in future highland and cold environment.
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Description

Technical Field

[0001] This invention relates to the field of tunnel fire protection technology, and in particular to an optimized method, system, equipment and medium for water and electricity tracing heating in tunnel fire protection. Background Technology

[0002] In the past, steam tracing has always been a primary method of heat preservation. Its working principle involves dissipating heat through steam-traced pipes to compensate for the heat loss of the insulated pipes. However, due to the difficulty in controlling the heat dissipation of steam, its insulation efficiency has always been relatively low. With the needs of industrial development, in the late 1970s and early 1980s, many industrial sectors, including the energy industry, widely adopted electric heat tracing technology to completely replace steam tracing. Electric heat tracing technology has evolved from traditional constant-power tracing to self-regulating electric heat tracing based on conductive plastics. However, both traditional constant-power and today's self-regulating electric heat tracing technologies have relatively low energy efficiency. For example, to maintain the temperature inside the pipe, constant-power electric heat tracing technology requires constant switching on and off to compensate for heat loss, which is highly uneconomical. Self-regulating electric heat tracing technology, on the other hand, needs to be on for even longer periods, and its temperature control is achieved through simple physical sensing, thus not saving significant energy. Therefore, there is an urgent need to propose a practical and feasible method for optimizing the control of electric heat tracing tapes. Summary of the Invention

[0003] The purpose of this invention is to provide an optimized method, system, equipment, and medium for electric heating of fire-fighting water in tunnels, which can achieve efficient utilization of electrical energy, play a role in energy conservation and emission reduction, and meet the needs of future development of electric heating technology for fire-fighting water in tunnels in high-altitude and cold environments.

[0004] To achieve the above objectives, the present invention provides the following solution:

[0005] An optimized method for water and electricity tracing heating in tunnel fire fighting includes:

[0006] Obtain relevant data for tunnel fire protection; the relevant data includes water usage time, physical network, ambient temperature, and water temperature inside the pipeline;

[0007] A time-ambient temperature-pipeline water temperature network model is constructed based on the associated data; the nodes in the time-ambient temperature-pipeline water temperature network model are determined by discretizing the water usage time.

[0008] Based on the aforementioned time-ambient temperature-pipeline water temperature network model, an objective function is constructed.

[0009] An electric heat tracing optimization model is constructed based on the objective function and constraints, and the heating time is controlled using the electric heat tracing optimization model.

[0010] Optionally, a time-ambient temperature-pipeline water temperature network model is constructed based on the associated data, including:

[0011] The water usage time is discretized, and the nodes on the physical network at each time point are copied to create a spatiotemporal network node. The spatiotemporal network node is then expanded in dimension, with the state dimension set as the water temperature inside the pipe. A time-ambient temperature-water temperature inside the pipe network model is constructed by combining the ambient temperature.

[0012] Optionally, the water usage time is discretized, specifically including:

[0013] In the time dimension, continuous time is discretized into different time points by using time slices with a fixed step size, and the length of the time slice between adjacent time points is set as δ.

[0014] Optionally, the objective function specifically includes:

[0015]

[0016] in, This indicates the electrical energy consumed when the electric heating is turned on; The power loss during each startup is represented by q; P represents the power of the electric heat tracing device; q represents the power loss when the electric heat tracing device is started once; t ij x represents the time interval between time i and time j; ij Indicates t ij The status of the electric heat tracing device during the time period, with 1 indicating the on state; x 01 This indicates the initial state of the electric heat tracing device; x jk This indicates the state of the electric heat tracing device during the time period from time j to time k.

[0017] Optionally, the condition constraints specifically include:

[0018] T 上升 -ΔT 下降 ≥T min

[0019]

[0020] T 上升 ≤T max

[0021] Among them, T 上升 ΔT represents the temperature value to which the water temperature inside the pipe rises during heating. 下降Indicates the temperature range within which the water temperature inside the pipe decreases; T min Indicates the lowest temperature of the water body, not lower than the freezing point of the water; t ij t represents the time interval between time i and time j; d T represents the model runtime; max This indicates the maximum heating temperature, which is determined by the temperature difference between the inside and outside of the pipe.

[0022] This invention also discloses an optimized water and electricity tracing heating system for tunnel fire fighting, comprising:

[0023] The data acquisition module is used to acquire relevant data for tunnel fire protection; the relevant data includes water usage time, physical network, ambient temperature, and water temperature inside the pipeline.

[0024] The network model construction module is used to construct a time-ambient temperature-pipeline water temperature network model based on the associated data; the nodes in the time-ambient temperature-pipeline water temperature network model are determined by discretizing the water usage time.

[0025] The objective function construction module is used to construct the objective function based on the time-ambient temperature-pipeline water temperature network model.

[0026] The electric heat tracing heating control module is used to construct an electric heat tracing heating optimization model based on the objective function and condition constraints, and to control the heating time using the electric heat tracing heating optimization model.

[0027] The present invention also discloses an electronic device, including a memory and a processor, wherein the memory is used to store a computer program, and the processor runs the computer program to enable the electronic device to perform the optimized method for tunnel fire-fighting water electric heat tracing heating according to the above.

[0028] The present invention also discloses a computer-readable storage medium storing a computer program that, when executed by a processor, implements the optimized method for tunnel fire-fighting water-electric heat tracing as described above.

[0029] According to specific embodiments provided by the present invention, the present invention discloses the following technical effects:

[0030] This invention discloses an optimization method, system, equipment, and medium for electric heat tracing heating of tunnel fire-fighting water. The method includes acquiring associated data for tunnel fire-fighting; wherein the associated data includes water usage time, physical network, ambient temperature, and water temperature inside the pipeline; constructing a time-ambient temperature-water temperature network model based on the associated data; the nodes in the time-ambient temperature-water temperature network model are determined by discretizing the water usage time; constructing an objective function based on the time-ambient temperature-water temperature network model; constructing an electric heat tracing heating optimization model based on the objective function and condition constraints, and using the electric heat tracing heating optimization model to control the heating time. This invention can achieve efficient utilization of electrical energy, play a role in energy conservation and emission reduction, and meet the future development needs of electric heat tracing heating technology for tunnel fire-fighting in high-altitude and cold environments. Attached Figure Description

[0031] To more clearly illustrate the technical solutions in the embodiments of the present invention or the prior art, the drawings used in the embodiments will be briefly introduced below. Obviously, the drawings described below are only some embodiments of the present invention. For those skilled in the art, other drawings can be obtained based on these drawings without creative effort.

[0032] Figure 1 This is a flowchart illustrating the optimized method for water and electricity tracing heating in tunnel fire fighting according to the present invention.

[0033] Figure 2 This is a schematic diagram of the time-ambient temperature-water temperature network model in this embodiment;

[0034] Figure 3 This is a schematic diagram of the heating process of the electric heat tracing device in this embodiment;

[0035] Figure 4 This is a schematic diagram illustrating the temperature drop in this embodiment. Detailed Implementation

[0036] The technical solutions of the embodiments of the present invention will be clearly and completely described below with reference to the accompanying drawings. Obviously, the described embodiments are only some embodiments of the present invention, and not all embodiments. Based on the embodiments of the present invention, all other embodiments obtained by those skilled in the art without creative effort are within the scope of protection of the present invention.

[0037] The purpose of this invention is to provide an optimized method, system, equipment, and medium for electric heating of fire-fighting water in tunnels, which can achieve efficient utilization of electrical energy, play a role in energy conservation and emission reduction, and meet the needs of future development of electric heating technology for fire-fighting water in tunnels in high-altitude and cold environments.

[0038] To make the above-mentioned objects, features and advantages of the present invention more apparent and understandable, the present invention will be further described in detail below with reference to the accompanying drawings and specific embodiments.

[0039] like Figure 1 As shown, the present invention provides an optimized method for electric heating of water for fire fighting in tunnels, comprising:

[0040] Step 100: Obtain the associated data for tunnel fire protection; the associated data includes water usage time, physical network, ambient temperature, and water temperature inside the pipeline.

[0041] Step 200: Construct a time-ambient temperature-pipeline water temperature network model based on the associated data; the nodes in the time-ambient temperature-pipeline water temperature network model are determined by discretizing the water usage time.

[0042] Step 300: Based on the time-ambient temperature-water temperature network model in the pipeline, construct the objective function.

[0043] Step 400: Construct an electric heat tracing heating optimization model based on the objective function and condition constraints, and use the electric heat tracing heating optimization model to control the heating time.

[0044] Based on the above design scheme, the following embodiments are provided.

[0045] The objectives of this embodiment are: first, to propose a practical and feasible method for optimizing the control of electric heating tape, determining the time sequence for its on / off states; second, to address the problems of energy waste and low utilization efficiency from the perspective of energy utilization; third, to ensure the normal operation of fire-fighting water supply in tunnels at high altitudes and frigid conditions during sudden traffic fires, thereby protecting people's lives and property; and fourth, to promote the development and utilization of electric heating tape technology, expanding its application areas and enabling it to realize its full value. This will be elaborated in detail through the following steps:

[0046] Step 1: Discretize time according to the needs of the research problem, and copy the nodes on the physical network at each time point to create a spatiotemporal network node.

[0047] Step 2: Create a spatiotemporal arc connecting spatiotemporal points by calculating the operation time between network points at different times.

[0048] Step 3: Set the power consumption for each spatiotemporal arc.

[0049] As a preferred embodiment, the spatiotemporal node in the first step also includes dimensional expansion in the state. According to the needs of this research problem, the state dimension is set as the temperature of the water in the pipe, thereby establishing a network model of time-ambient temperature-water temperature in the pipe. For the nodes in the network model, continuous time is discretized into different time points by using time slices with a fixed step size in the time dimension, and the length of the time slice between adjacent time points is set as δ.

[0050] In a preferred embodiment, the spatiotemporal arc in the second step is formed by connecting nodes in the network, representing the change process between network nodes. The change process should include two steps: first, the process of the water temperature in the pipe rising, which generates electricity consumption; and second, the process of the water temperature in the pipe falling, which does not generate electricity consumption.

[0051] In a preferred embodiment, the consumption in the third step refers to the consumption of electrical energy, which is controlled by the switch of the electric heating device and determined by the combined effect of ambient temperature and the water temperature inside the pipe. When the heating device is turned on, heating of the water inside the pipe begins, and when the water temperature reaches T... max Stop heating at T max The temperature difference between the inside and outside of the pipe determines the temperature; when the heating device is turned off, the water in the pipe is not heated, and when the temperature drops to T... min Start heating at T min Determined by the physical properties of water under certain environmental conditions, i.e., T min The temperature must not be lower than the freezing point of the water. Opening and closing is a cyclical process designed to prevent fire-fighting water from losing its fluidity and becoming unusable in emergencies.

[0052] The research method described is an optimization model for water and electricity tracing heating in tunnel fire fighting under high-altitude and frigid conditions, established based on spatiotemporal accessibility network theory. The model makes the following assumptions: First, the freezing point of water in a high-altitude and frigid environment is T. min The temperature difference determined by the interaction between water and the environment is a fixed value d, therefore the maximum temperature of water is T. t=i (max)=T' t=i +d, where T t=i (max) represents the highest temperature of the water at time t=i, T' t=i First, the ambient temperature at time t=i; second, there is no heat loss in the fire-fighting water pipeline during the electric heat tracing process, and the water inside the fire-fighting water pipeline fills the entire pipeline and is in a static state; third, the model's running time is t. d Fourth, the ambient temperature in the high-altitude and frigid environment is below zero degrees Celsius.

[0053] The objective function constructed by the optimization model is:

[0054]

[0055] in, This indicates the electrical energy consumed when the electric heating is turned on; This represents the starting electrical loss each time the device is turned on; this portion of electrical energy does not participate in the electric heat tracing heating process. P represents the power of the electric heat tracing device. q represents the electrical loss when the electric heat tracing device is turned on once. t ij x represents the time segment from time i to time j, i.e., the length of the time slice; ij Indicates t ij The status of the electric heat tracing device during the time period: a value of 1 indicates it is on, otherwise it indicates it is off; x 01 This indicates the initial state of the electric heat tracing device; x jk This indicates the state of the electric heat tracing device during the time period from time j to time k.

[0056] The objective function is clearly to minimize the total power consumption, which consists of two parts: first, the total electrical energy consumed for heating the water; and second, the startup power consumption each time the electric heat tracing device is turned on. Therefore, it is necessary to calculate the power loss for each part, and the calculation of the power loss for each part depends on whether the electric heat tracing device is turned on. Therefore, a 0-1 variable x is used. ij This indicates its state; a value of 1 indicates it's on, otherwise it's off. Given the time slice length, the total power loss can be calculated. Since startup electrical losses only occur during startup, it is not possible to convert each x ij =1 is considered as primary electrical loss, which can be expressed using the formula This represents the startup power consumption each time the device is turned on, where x 01 This indicates the initial state of the electric heat tracing device. The minimum total power consumption can then be calculated from this.

[0057] The conditions and constraints specifically include:

[0058] T 上升 -ΔT 下降 ≥T min

[0059]

[0060] T 上升 ≤T max

[0061] Among them, T 上升 ΔT represents the temperature value to which the water temperature inside the pipe rises during heating. 下降 Indicates the temperature range within which the water temperature inside the pipe decreases; T min Indicates the lowest temperature of the water body, not lower than the freezing point of the water; t ij t represents the time interval between time i and time j; dT represents the model runtime; max This indicates the maximum heating temperature, which is determined by the temperature difference between the inside and outside of the pipe.

[0062] The first constraint above can be understood from the expression for the relationship between heat and temperature, Q = mcΔT, and the formula for calculating electric charge, Q = Pt. According to Newton's law of cooling, Where T' t=i This represents the ambient temperature at time t = i, since ΔT 下降 It can be represented as Further Therefore, we can conclude that:

[0063]

[0064] Where Q represents heat, m represents the mass of water, c represents the heat capacity per unit mass of water, ΔT represents the change in water temperature, a and b are undetermined coefficients, and V represents the volume of water, which can be determined by changing the volume of hot water.

[0065] Therefore, this constraint can limit the lower limit of water temperature and ensure the fluidity of the water.

[0066] The second constraint mentioned above specifies that the model's running time is t. d , where t ij =δ, where δ is the length of the time slice, and the sum of the lengths of all time slices is t. d Therefore, we can conclude that:

[0067]

[0068] This constraint limits the operating cycle of the electric heat tracing device, which, in practice, can also be understood as a service life cycle.

[0069] Given the above constraint three, it is known that when the electric heating device is turned on, the water temperature rises; it is also known that the water temperature cannot rise indefinitely. Therefore, T is set... max T represents the highest temperature of the water inside the pipe under the current environment. max =T' t=i +d, where T' t=i This represents the ambient temperature at time t=i, and is derived from... Therefore there is T t=i This represents the temperature of the water in the pipe at time t=i. From this, we can obtain:

[0070]

[0071] Model variable constraints:

[0072]

[0073] t ij =δ

[0074] It should be noted above that:

[0075] j = i + 1

[0076] k = i + 2

[0077] Where i∈N, N=[0,1,...,n].

[0078] According to the needs of the model, x ij Set as a 0-1 variable, where x ij =1 indicates that the electric heat tracing device is in the on state, x ij =0 indicates that the electric heat tracing device is in the off state, which meets the actual requirements; δ represents the length of the time slice. The length of the time slice can be adjusted as needed. The longer the length, the lower the accuracy range and the worse the optimization effect. The shorter the length, the higher the accuracy range and the better the optimization effect, but the solution time increases, and the computer resources are also consumed. Therefore, it is necessary to select an appropriate accuracy range according to the specific problem to ensure the normal operation of the model.

[0079] The variable constraint one, x ij =1 indicates that the electric heat tracing device is in the on state. In the network model, this is reflected as the actual electrical energy consumption corresponding to that arc. ij =0 indicates that the electric heat tracing device is in the off state, which is reflected in the network model as zero power consumption for that arc.

[0080] The second variable constraint, δ, represents the length of the time slice, ensuring the consistency of the time slices.

[0081] This method can optimize the electric heating process for fire fighting in tunnels in high-altitude and frigid conditions. It models the problem based on a spatiotemporal network model, which more intuitively expresses the relationship between the state changes of the research object. By discretizing the time, it can more precisely consider the impact of time changes on the ambient temperature and water temperature. By determining the optimal difference between the ambient temperature and the water temperature, it can reduce the heating power consumption and the rate of heat dissipation from the water, thereby achieving the effect of optimizing the electric heating process for fire fighting in tunnels in high-altitude and frigid conditions.

[0082] The advantages of the optimization research method for electric heat tracing heating of fire-fighting water in tunnels under high-altitude and cold conditions are: (1) It realizes the optimized control of electric heat tracing heating device for fire-fighting water in high-altitude and cold environments and determines a set of feasible time control sequences; (2) In response to the problem of energy waste of electric heat tracing device, this method achieves more accurate monitoring of ambient temperature through refined time processing, so as to have more precise control over the water heating process; (3) This research method can also be extended to more fields, and the model parameters can be adjusted according to the needs of the project.

[0083] Provide such as Figures 2-4 The experimental results are shown.

[0084] like Figure 2 As shown, for ease of representation, the network model diagram drawn here represents an ambient temperature with a positive value. The T' axis represents the ambient temperature, T represents the water temperature, and t represents time. i Let t = i, where i ∈ N.

[0085] like Figure 3 As shown, assuming the ambient temperature at time t0 is T'2 and the water temperature is T0, electric heat tracing begins at this time, i.e., x 01 =1. From time t0 to time t1, the ambient temperature remains unchanged, but the water temperature rises from T0 to T3. This process generates electricity consumption. Let W be the electricity consumption from point (t0,T0,T'2) to point (t1,T3,T'2). 01 =Pt 01 x 01 From time t1 to time t2, heating continues, i.e., x 12 =1. At this point, the ambient temperature drops from T'2 to T1', and the water temperature rises from T3 to T5. This process generates electricity consumption. Let W be the electricity consumption from point (t1,T3,T'2) to point (t2,T5,T1'). 12 =Pt 12 x 12 From time t2 to time t3, heating continues, i.e., x 23 =1, at this time the ambient temperature drops from T1' to T'0, and the water temperature rises to T6. This process generates electricity consumption. Record the electricity consumption W from point (t2,T5,T1') to point (t3,T6,T'0). 23 =Pt 23 x 23 From time t3 to time t4, heating is turned off, i.e., x 34 =0, at this point the ambient temperature and water temperature do not change, but this process does not generate electricity consumption. Record the electricity consumption W from point (t3,T6,T'0) to point (t4,T6,T'0). 34 =Pt 34 x 43 =0. Figure 3 The optimal total power consumption for water heating is shown as W = W 01 +W 12 +W 23 +W 34 , Figure 3 This simply reflects the impact of the environment on the heating process. When the environment continues to deteriorate, it will lead to a decrease in heating efficiency and a limit on the maximum temperature of the water body. This is one of the optimization strategies in this optimization study.

[0086] like Figure 4 As shown, assuming the ambient temperature at time t5 is T'0 and the water temperature is T6, the water begins to cool down at this time, i.e., x 56 =0. From time t5 to time t6, the ambient temperature remains unchanged, while the water temperature rises from T6 to T4. This process generates no power consumption. Record the power consumption W from point (t5,T6,T'0) to point (t6,T4,T'0). 56 =Pt 56 x 56 =0; From time t6 to time t7, the temperature continues to decrease, i.e., x 67 =0. At this point, the ambient temperature rises from T'0 to T'2, and the water temperature drops from T4 to T3. This process does not generate electricity consumption. Record the electricity consumption W from point (t6,T4,T'0) to point (t7,T3,T'2). 67 =Pt 67 x 67 =0; From time t7 to time t8, the temperature continues to decrease, i.e., x 78 =0, at this point the ambient temperature drops from T'2 to T'0, and the water temperature drops to T1. This process does not generate electricity consumption. Record the electricity consumption W from point (t7,T3,T'2) to point (t8,T1,T'0). 78 =Pt 78 x 78 =0; At this moment, the water reaches its lowest temperature under the current environment, so heating begins from time t8 to time t9, i.e., x 89 =1, the ambient temperature remains unchanged, the water temperature changes to T3, this process generates electricity consumption, let's record the electricity consumption W from point (t8,T1,T'0) to point (t9,T3,T'0). 89 =Pt 89 x 89 . Figure 4 The optimal total power consumption for water heating is shown as W = W 56 +W 67 +W 78 +W 89 , Figure 4This simply reflects the impact of the environment on the water cooling process. When the environment continues to deteriorate, the cooling efficiency will increase, and when the environment improves, the cooling will slow down. At the same time, the minimum water temperature is affected by the ambient temperature. In order to ensure that the water temperature does not fall below the minimum temperature, the electric heat tracing device is turned on in time to heat the water.

[0087] In addition, the present invention also discloses an electronic device, including a memory and a processor, wherein the memory is used to store a computer program, and the processor runs the computer program to enable the electronic device to perform the optimized method for tunnel fire-fighting water electric heat tracing heating according to the above.

[0088] The present invention also discloses a computer-readable storage medium storing a computer program that, when executed by a processor, implements the optimized method for tunnel fire-fighting water-electric heat tracing as described above.

[0089] The various embodiments in this specification are described in a progressive manner, with each embodiment focusing on the differences from other embodiments. The same or similar parts between the various embodiments can be referred to each other.

[0090] This document uses specific examples to illustrate the principles and implementation methods of the present invention. The descriptions of the above embodiments are only for the purpose of helping to understand the core ideas of the present invention. Furthermore, those skilled in the art will recognize that, based on the ideas of the present invention, there will be changes in the specific implementation methods and application scope. Therefore, the content of this specification should not be construed as a limitation of the present invention.

Claims

1. An optimized method for water and electricity tracing heating in tunnel fire fighting, characterized in that, include: Obtain relevant data for tunnel fire protection; the relevant data includes water usage time, physical network, ambient temperature, and water temperature inside the pipeline; A time-ambient temperature-pipeline water temperature network model is constructed based on the associated data; the nodes in the time-ambient temperature-pipeline water temperature network model are determined by discretizing the water usage time. Based on the aforementioned time-ambient temperature-pipeline water temperature network model, an objective function is constructed. An electric heat tracing heating optimization model is constructed based on the objective function and condition constraints, and the heating time is controlled using the electric heat tracing heating optimization model. The objective function specifically includes: in, This indicates the electrical energy consumed when the electric heating is turned on; This indicates the starting power loss each time the device is turned on; Indicates the power of the electric heat tracing device; This indicates the electrical loss when the electric heat tracing device is turned on once. express Time's up The time interval between moments; express The status of the electric heat tracing device during the time period, with 1 indicating the on state; This indicates the initial state of the electric heat tracing device; x jk This indicates the state of the electric heat tracing device during the time interval from time j to time k; The conditions and constraints specifically include: in, This indicates the temperature value to which the water in the pipe rises during heating; This indicates the temperature range within which the water temperature inside the pipe decreases. This indicates the lowest temperature of the water body, which is not lower than the freezing point of the water. express Time's up The time interval between moments; Indicates the model's runtime; This indicates the maximum heating temperature, which is determined by the temperature difference between the inside and outside of the pipe.

2. The optimized method for tunnel fire-fighting water and electricity heat tracing heating according to claim 1, characterized in that, Based on the aforementioned associated data, a network model is constructed that integrates time, ambient temperature, and water temperature within the pipeline, including: The water usage time is discretized, and the nodes on the physical network at each time point are copied to create a spatiotemporal network node. The spatiotemporal network node is then expanded in dimension, with the state dimension set as the water temperature inside the pipe. A time-ambient temperature-water temperature inside the pipe network model is constructed by combining the ambient temperature.

3. The optimized method for tunnel fire-fighting water and electricity heat tracing heating according to claim 2, characterized in that, Discretizing the water usage time specifically includes: In the time dimension, continuous time is discretized into different time points using time slices with a fixed step size, and the length of the time slice between adjacent time points is set to... .

4. A tunnel fire-fighting water-electric heat tracing heating optimization system, using the method as described in any one of claims 1-3, characterized in that, include: The data acquisition module is used to acquire relevant data for tunnel fire protection; the relevant data includes water usage time, physical network, ambient temperature, and water temperature inside the pipeline. The network model construction module is used to construct a time-ambient temperature-pipeline water temperature network model based on the associated data; the nodes in the time-ambient temperature-pipeline water temperature network model are determined by discretizing the water usage time. The objective function construction module is used to construct the objective function based on the time-ambient temperature-pipeline water temperature network model. The electric heat tracing heating control module is used to construct an electric heat tracing heating optimization model based on the objective function and condition constraints, and to control the heating time using the electric heat tracing heating optimization model.

5. An electronic device, characterized in that, The device includes a memory and a processor, wherein the memory stores a computer program and the processor runs the computer program to enable the electronic device to perform the optimized method for electric heat tracing of water for fire fighting according to any one of claims 1-3.

6. A computer-readable storage medium, characterized in that, It stores a computer program, which, when executed by a processor, implements the optimized method for tunnel fire-fighting water and electricity tracing heating as described in any one of claims 1-3.

Citation Information

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