Heating power configuration method based on thermophysical property of calcium-based thermochemical material and related device
By calculating the sensible heat and reaction heat of calcium-based thermochemical materials and combining them with a variable porosity model, the heating power is dynamically adjusted, which solves the problem of inconsistent heating power configuration in the calcium hydroxide-calcium oxide cycle thermochemical energy storage system, improves the system's safety and efficiency, and is suitable for urban distributed energy stations and waste heat recovery in industrial parks.
Patent Information
- Application Number
- CN202511230322.X
- Authority / Receiving Office
- CN · China
- Patent Type
- Applications(China)
- Current Assignee / Owner
- Filing Date
- 2025-08-29
- Publication Date
- 2025-12-12
AI Technical Summary
In calcium hydroxide-calcium oxide cycle thermochemical energy storage systems, existing technologies struggle to effectively configure heating power to prevent overheating, and the heating power requirements vary at different reaction times, affecting energy storage efficiency and safety.
By determining the sensible heat and reaction heat of calcium-based thermochemical materials during the dehydration and heat storage process, the reaction rate constant is calculated using the Arrhenius formula. Combined with a variable porosity model, the heating power is dynamically adjusted to match the reaction progress, and automatic configuration is achieved using computer equipment and storage media.
It enables dynamic adjustment of heating power according to the reaction process, avoids system overheating, improves energy storage efficiency and safety, and is suitable for scenarios with strict space layout or limited land resources.
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Figure CN121122452A_ABST
Abstract
Description
Technical Field
[0001] This invention belongs to the field of thermochemical reaction technology, and relates to a heating power configuration method and related apparatus based on the thermophysical properties of calcium-based thermochemical materials. Background Technology
[0002] Calcium hydroxide-calcium oxide (Ca(OH)2-CaO) cycle thermochemical energy storage technology, as a highly promising new energy storage method, is emerging in the field of large-scale thermal energy storage due to its significant advantages. It holds immeasurable strategic significance for promoting the development and application of low-cost, large-capacity thermochemical energy storage systems. Among numerous energy storage technologies, heat storage density is one of the key indicators for evaluating its performance. The calcium hydroxide-calcium oxide cycle thermochemical energy storage system exhibits excellent heat storage density characteristics. This cycle is based on a reversible chemical reaction: in the heat storage stage, calcium oxide (CaO) reacts with water (H2O) to generate calcium hydroxide (Ca(OH)2), releasing a large amount of heat energy; while in the heat release stage, calcium hydroxide decomposes into calcium oxide and water under specific conditions, absorbing external heat to complete energy storage. During this chemical reaction, the state of matter and chemical bonds undergo significant changes, enabling the storage and release of large amounts of energy. Compared to traditional sensible and latent heat energy storage technologies, the heat that can be stored per unit volume or unit mass is significantly increased. This means that under the same energy storage demand, the use of calcium hydroxide-calcium oxide cycle thermochemical energy storage system can significantly reduce the amount of energy storage medium and the volume of energy storage equipment, thereby making efficient use of space resources, reducing the system's footprint and construction costs. It is especially suitable for scenarios with strict spatial layout requirements or limited land resources, such as distributed energy stations in cities and waste heat recovery and utilization systems in industrial parks.
[0003] Currently, energy storage processes primarily utilize electric heating rods to heat Ca(OH)₂, causing it to decompose into CaO and high-temperature water vapor, thus completing the energy storage process. During the exothermic process, water vapor is introduced to react with CaO, generating Ca(OH)₂. However, because the rate of the thermal storage reaction initially increases and then decreases, and because CaO and Ca(OH)₂ have different thermal conductivity, the required heating power for the energy storage material bed varies at different reaction stages. Therefore, investigating the reaction progress of the material at different times and the corresponding required heating power is crucial for adjusting the heating power to prevent overheating. Thus, determining the appropriate heating power for calcium-based thermochemical materials is essential. Summary of the Invention
[0004] The purpose of this invention is to overcome the shortcomings of the prior art and provide a heating power configuration method and related apparatus based on the thermophysical properties of calcium-based thermochemical materials. This method and related apparatus can obtain the heating power of calcium-based thermochemical materials.
[0005] To achieve the above objectives, this invention discloses a method for configuring heating power based on the thermophysical properties of calcium-based thermochemical materials, comprising the following steps:
[0006] Based on the reaction equation of calcium-based thermochemical materials in the dehydration and heat storage process, determine the sensible heat Q1 absorbed by the bed at time t and the reaction heat Q2 of the bed at time t.
[0007] The heating power of the calcium-based thermochemical material at time t is determined based on the sensible heat Q1 absorbed by the bed at time t and the reaction heat Q2 of the bed at time t.
[0008] Furthermore, the sensible heat Q1 absorbed by the bed at time t is:
[0009]
[0010] Among them, (ρc p ) eff V represents the effective physical parameter of the bed, and V represents the volume of the bed.
[0011] Furthermore, the heat of reaction Q2 of the bed at time t is:
[0012]
[0013] Where m0 is the initial mass of calcium hydroxide, and X is the proportion of reactants consumed during the reaction process.
[0014] Furthermore, the aforementioned Represented as:
[0015]
[0016] Where X is the proportion of reactants consumed in the reaction process, k(T) is the reaction rate constant defined by the Arrhenius formula, and T is the actual temperature in the reaction bed.
[0017] Furthermore, the reaction rate constant k(T) is:
[0018]
[0019] Where A is the pre-exponential factor, E is the activation energy, and R is the ideal gas constant.
[0020] This invention discloses a heating power configuration system based on the thermophysical properties of calcium-based thermochemical materials, comprising:
[0021] The determination module is used to determine the sensible heat Q1 absorbed by the bed at time t and the heat of reaction Q2 of the bed at time t based on the reaction equation of the calcium-based thermochemical material in the dehydration heat storage process.
[0022] The calculation module is used to determine the heating power of the calcium-based thermochemical material at time t based on the sensible heat Q1 absorbed by the bed at time t and the reaction heat Q2 of the bed at time t.
[0023] Furthermore, the sensible heat Q1 absorbed by the bed at time t is:
[0024]
[0025] Among them, (ρc p ) eff V represents the effective physical parameter of the bed, and V represents the volume of the bed.
[0026] Furthermore, the heat of reaction Q2 of the bed at time t is:
[0027]
[0028] Where m0 is the initial mass of calcium hydroxide, and X is the proportion of reactants consumed during the reaction process.
[0029] The present invention discloses a computer device, including 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 steps of the heating power configuration method based on the thermophysical properties of calcium-based thermochemical materials.
[0030] The present invention discloses a computer-readable storage medium storing a computer program, which, when executed by a processor, implements the steps of the heating power configuration method based on the thermophysical properties of calcium-based thermochemical materials.
[0031] The present invention has the following beneficial effects:
[0032] In specific operation, the heating power configuration method and related device based on the thermophysical properties of calcium-based thermochemical materials described in this invention determine the sensible heat Q1 absorbed by the bed at time t and the reaction heat Q2 of the bed at time t according to the reaction equation of the calcium-based thermochemical material in the dehydration and heat storage process. The heating power of the calcium-based thermochemical material at time t is then determined based on the sensible heat Q1 absorbed by the bed at time t and the reaction heat Q2 of the bed at time t. It should be noted that this invention clarifies the function of heating power over time, which has guiding significance for avoiding system overheating in engineering applications. Attached Figure Description
[0033] The accompanying drawings, which form part of this specification, are used to provide a further understanding of the invention. The illustrative embodiments of the invention and their descriptions are used to explain the invention and do not constitute an undue limitation of the invention. In the drawings:
[0034] Figure 1 This is a flowchart of the method of the present invention. Detailed Implementation
[0035] 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, not all, of the embodiments of the present invention. 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.
[0036] In the description of this invention, it should be understood that the terms "comprising" and "including" indicate the presence of the described features, integrals, steps, operations, elements and / or components, but do not exclude the presence or addition of one or more other features, integrals, steps, operations, elements, components and / or collections thereof.
[0037] It should also be understood that the terminology used in this specification is for the purpose of describing particular embodiments only and is not intended to limit the invention. As used in this specification and the appended claims, the singular forms “a,” “an,” and “the” are intended to include the plural forms unless the context clearly indicates otherwise.
[0038] It should also be further understood that the term "and / or" as used in this specification and the appended claims refers to any combination and all possible combinations of one or more of the associated listed items, and includes such combinations. For example, A and / or B can represent three cases: A alone, A and B simultaneously, and B alone. Additionally, the character " / " in this invention generally indicates that the preceding and following objects have an "or" relationship.
[0039] It should be understood that although terms such as first, second, third, etc., may be used in the embodiments of the present invention to describe the preset range, these preset ranges should not be limited to these terms. These terms are only used to distinguish the preset ranges from one another. For example, without departing from the scope of the embodiments of the present invention, the first preset range may also be referred to as the second preset range, and similarly, the second preset range may also be referred to as the first preset range.
[0040] Depending on the context, the word "if" as used here can be interpreted as "when," "when," "in response to determination," or "in response to detection." Similarly, depending on the context, the phrase "if determination" or "if detection (of the stated condition or event)" can be interpreted as "when determination," "in response to determination," "when detection (of the stated condition or event)," or "in response to detection (of the stated condition or event)."
[0041] To make the objectives, technical solutions, and advantages of the embodiments of the present invention clearer, 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, not all, of the embodiments of the present invention. The components of the embodiments of the present invention described and shown in the accompanying drawings can generally be arranged and designed in various different configurations. Therefore, the following detailed description of the embodiments of the present invention provided in the accompanying drawings is not intended to limit the scope of the claimed invention, but merely to illustrate selected embodiments of the invention. All other embodiments obtained by those skilled in the art based on the embodiments of the present invention without inventive effort are within the scope of protection of the present invention.
[0042] The accompanying drawings illustrate various structural schematic diagrams according to embodiments disclosed in this invention. These drawings are not to scale, and some details have been enlarged for clarity, and some details may have been omitted. The shapes of the various regions and layers shown in the drawings, as well as their relative sizes and positional relationships, are merely exemplary and may deviate from reality due to manufacturing tolerances or technical limitations. Furthermore, those skilled in the art can design regions / layers with different shapes, sizes, and relative positions as needed.
[0043] Example 1
[0044] The heating power configuration method based on the thermophysical properties of calcium-based thermochemical materials according to the present invention includes the following steps:
[0045] The reaction equation for the dehydration and heat storage process of Ca(OH)2 is:
[0046]
[0047] The reaction kinetic equation for the thermal storage process is:
[0048]
[0049] Where X is the proportion of reactants consumed in the reaction process; k(T) is the reaction rate constant defined by the Arrhenius equation; T is the actual temperature within the reaction bed, where k(T) is:
[0050]
[0051] Where A is the pre-exponential factor, taken as 7.1465 × 10⁻⁶. 9 1 / s, E is the activation energy, taken as 1.87 × 10⁵ J / mol, R is the ideal gas constant, taken as 8.314 J / (mol·K), m H2O m0 represents the mass of water produced in the reaction, and m0 represents the initial mass of calcium hydroxide in the reaction.
[0052] As the reaction proceeds, the solid reactant gradually transforms from Ca(OH)₂ to CaO. Therefore, the effective physical parameters of the bed are:
[0053] (ρc p ) eff =ε(ρc p ) g +(1-ε)(ρc p ) solid
[0054] The variable porosity model in the thermal storage process is as follows:
[0055]
[0056] Considering that the material will expand in volume and the porosity will change with the increase of the number of cycles, the porosity is further modified, and the final variable porosity model is as follows:
[0057]
[0058] Where N is the number of cycles, and the density and specific heat capacity of the solid reactants change as the reaction proceeds.
[0059]
[0060] Among them, the specific heat capacity of CaO and Ca(OH)2 also changes with temperature;
[0061] c p,CaO = 0.1643·T + 799.15 [J·kg] -1 ·K -1 ]
[0062]
[0063] The specific heat capacity c and density ρ of the generated steam change with temperature T, following the formulas below:
[0064]
[0065] Therefore, the sensible heat Q1 absorbed by the bed at time t follows the following formula:
[0066]
[0067] The heat of reaction Q2 of the bed at time t follows the following formula:
[0068]
[0069] The heating power is:
[0070]
[0071] This invention has the following characteristics:
[0072] Currently, the CaO / Ca(OH)2 thermal storage system involves chemical reactions, and the heat required for the reaction gradually decreases as the reaction time increases. This invention clarifies the function of heating power over time, which is of guiding significance for avoiding system overheating in engineering applications.
[0073] This invention introduces a variable porosity model correction that increases with the number of cycles, making the results more accurate. This is because the CaO / Ca(OH)2 thermal storage system tends to agglomerate and clump as the number of cycles increases. Based on analysis of previous experimental data, this invention incorporates a variable porosity model correction, resulting in more accurate heating power calculations.
[0074] Example 2
[0075] The heating power configuration system based on the thermophysical properties of calcium-based thermochemical materials of the present invention includes:
[0076] The determination module is used to determine the sensible heat Q1 absorbed by the bed at time t and the heat of reaction Q2 of the bed at time t based on the reaction equation of the calcium-based thermochemical material in the dehydration heat storage process.
[0077] The calculation module is used to determine the heating power of the calcium-based thermochemical material at time t based on the sensible heat Q1 absorbed by the bed at time t and the reaction heat Q2 of the bed at time t.
[0078] Furthermore, the sensible heat Q1 absorbed by the bed at time t is:
[0079]
[0080] Among them, (ρc p ) eff V represents the effective physical parameter of the bed, and V represents the volume of the bed.
[0081] Furthermore, the heat of reaction Q2 of the bed at time t is:
[0082]
[0083] Where m0 is the initial mass of calcium hydroxide, and X is the proportion of reactants consumed during the reaction process.
[0084] The module division in this embodiment is illustrative and represents only one logical functional division. In actual implementation, other division methods may be used. Furthermore, the functional modules in each embodiment of this application can be integrated into a single processor, exist as separate physical entities, or be integrated into a single module. The integrated modules described above can be implemented in hardware or as software functional modules.
[0085] Example 3
[0086] A computer device includes a memory, a processor, and a computer program stored in the memory and executable on the processor. When the processor executes the computer program, it implements the steps of a heating power configuration method based on the thermophysical properties of calcium-based thermochemical materials. For example, the method includes: determining the sensible heat Q1 absorbed by the bed at time t and the reaction heat Q2 of the bed at time t based on the reaction equation of the calcium-based thermochemical material during a dehydration and heat storage process; and determining the heating power of the calcium-based thermochemical material at time t based on the sensible heat Q1 absorbed by the bed at time t and the reaction heat Q2 of the bed at time t. The memory may include main memory, such as high-speed random access memory, and may also include non-volatile memory, such as at least one disk storage device. The processor, network interface, and memory are interconnected via an internal bus, which may be an industry-standard architecture bus, a peripheral component interconnection standard bus, an extended industry-standard architecture bus, etc. The bus may be classified as an address bus, a data bus, a control bus, etc. The memory stores the program; specifically, the program may include program code, which includes computer operation instructions. The memory may include main memory and non-volatile memory, and provides instructions and data to the processor.
[0087] Example 4
[0088] A computer-readable storage medium storing a computer program, which, when executed by a processor, implements the steps of a heating power configuration method based on the thermophysical properties of calcium-based thermochemical materials, including: determining the sensible heat Q1 absorbed by the bed at time t and the reaction heat Q2 of the bed at time t based on the reaction equation of the calcium-based thermochemical material in the dehydration and heat storage process; and determining the heating power of the calcium-based thermochemical material at time t based on the sensible heat Q1 absorbed by the bed at time t and the reaction heat Q2 of the bed at time t. Specifically, the computer-readable storage medium includes, but is not limited to, volatile memory and / or non-volatile memory. The volatile memory may include random access memory (RAM) and / or cache memory, etc. The non-volatile memory may include read-only memory (ROM), hard disk, flash memory, optical disk, magnetic disk, etc.
[0089] Those skilled in the art will understand that embodiments of this application can be provided as methods, systems, or computer program products. Therefore, this application can take the form of a completely hardware embodiment, a completely software embodiment, or an embodiment combining software and hardware aspects. Furthermore, this application can take the form of a computer program product embodied on one or more computer-usable storage media (including but not limited to disk storage, CD-ROM, optical storage, etc.) containing computer-usable program code.
[0090] This application is described with reference to flowchart illustrations and / or block diagrams of methods, apparatus (systems), and computer program products according to embodiments of this application. It will be understood that each block of the flowchart illustrations and / or block diagrams, and combinations of blocks in the flowchart illustrations and / or block diagrams, can be implemented by computer program instructions. These computer program instructions can be provided to a processor of a general-purpose computer, special-purpose computer, embedded processor, or other programmable data processing apparatus to produce a machine, such that the instructions, which execute via the processor of the computer or other programmable data processing apparatus, generate instructions for implementing the flowchart... Figure 1 One or more processes and / or boxes Figure 1 A device that provides the functions specified in one or more boxes.
[0091] These computer program instructions may also be stored in a computer-readable storage medium that can direct a computer or other programmable data processing device to function in a particular manner, such that the instructions stored in the computer-readable storage medium produce an article of manufacture including instruction means, which are implemented in a process Figure 1 One or more processes and / or boxes Figure 1 The function specified in one or more boxes.
[0092] These computer program instructions may also be loaded onto a computer or other programmable data processing equipment to cause a series of operational steps to be performed on the computer or other programmable equipment to produce a computer-implemented process, thereby providing instructions that execute on the computer or other programmable equipment for implementing the process. Figure 1 One or more processes and / or boxes Figure 1 The steps of the function specified in one or more boxes.
[0093] Other embodiments of the invention will readily occur to those skilled in the art upon consideration of the specification and disclosure of the invention. This application is intended to cover any variations, uses, or adaptations of the invention that follow the general principles of the invention and include common knowledge or customary techniques in the art not disclosed herein. The specification and examples are to be considered exemplary only, and the true scope and spirit of the invention are indicated by the following claims.
[0094] It should be understood that the present invention is not limited to the precise structure described above and shown in the accompanying drawings, and various modifications and changes can be made without departing from its scope. The scope of the invention is limited only by the appended claims.
[0095] The above description is merely a preferred embodiment of the present invention and does not constitute any limitation on the present invention. Any simple modifications, alterations, or equivalent structural changes made to the above embodiments based on the technical essence of the present invention shall still fall within the protection scope of the present invention.
Claims
1. A method for configuring heating power based on thermal properties of calcium-based thermochemical materials, characterized by, The method comprises the following steps: According to the reaction equation of the calcium-based thermo-chemical material in the dehydrating heat storage process, the sensible heat Q1 absorbed by the bed at time t and the reaction heat Q2 of the bed at time t are determined; The heating power of the calcium-based thermo-chemical material at time t is determined according to the sensible heat Q1 absorbed by the bed at time t and the reaction heat Q2 of the bed at time t.
2. The heating power configuration method based on the thermal physical properties of calcium-based thermochemical materials according to claim 1, characterized in that, The sensible heat Q1 absorbed by the bed at time t is: wherein (pc p ) eff V is the effective physical parameter of the bed, and V represents the volume of the bed.
3. The method of claim 1, wherein the heating power is configured based on a thermal property of the calcium-based thermochemical material. The reaction heat Q2 of the bed at time t is: Wherein, m0 is the initial calcium hydroxide mass of the reaction, X is the proportion of the consumed reactants in the reaction process, and ΔH is the enthalpy value of the theoretical reaction of the complete reaction of the unit mass calcium hydroxide.
4. The method of claim 3, wherein the heating power is configured based on the thermal properties of the calcium-based thermochemical material. The is represented as: where X is the proportion of the reactant consumed in the reaction progress, k(T) is the reaction rate constant defined by the Arrhenius formula, T is the actual temperature in the reaction bed, and T eq is the reaction equilibrium temperature at the reaction pressure.
5. The method of claim 4, wherein the heating power is configured based on the thermal properties of the calcium-based thermochemical material. The reaction rate constant k(T) is: Wherein, A is the pre-exponential factor, E is the activation energy, and R is the ideal gas constant.
6. A heating power configuration system based on the thermal properties of calcium-based thermochemical materials, characterized by, The method comprises the following steps: A determination module is configured to determine the sensible heat Q1 absorbed by the bed at time t and the reaction heat Q2 of the bed at time t according to the reaction equation of the calcium-based thermo-chemical material in the dehydrating heat storage process; A calculation module is configured to determine the heating power of the calcium-based thermo-chemical material at time t according to the sensible heat Q1 absorbed by the bed at time t and the reaction heat Q2 of the bed at time t.
7. The heating power configuration system based on the thermal physical properties of calcium-based thermochemical materials according to claim 6, characterized in that, The sensible heat Q1 absorbed by the bed at time t is: wherein (pc p ) eff V is the effective physical parameter of the bed, and V represents the volume of the bed.
8. The heating power configuration system based on the thermal physical properties of calcium-based thermochemical materials of claim 6, wherein, The reaction heat Q2 of the bed at time t is: Wherein, m0 is the initial calcium hydroxide mass of the reaction, and X is the proportion of the consumed reactants in the reaction process.
9. A computer device comprising a memory, a processor, and a computer program stored in the memory and executable on the processor, characterized in that, The processor executes the computer program to realize the steps of the heating power configuration method based on the thermal properties of the calcium-based thermo-chemical material according to any one of claims 1-5.
10. A computer-readable storage medium storing a computer program, the computer program comprising instructions that, when executed by a computer, cause the computer to perform the method of any one of claims 1 to 9. The computer program is executed by the processor to realize the steps of the heating power configuration method based on the thermal properties of the calcium-based thermo-chemical material according to any one of claims 1-5.