Compressed air energy storage system shafting torsional vibration damage evaluation method

Abstract

The invention relates to a torsional vibration damage evaluation method for a shaft system of a compressed air energy storage system. Comprising the following steps: calculating torsional vibration response of each part of a shaft system of the compressed air energy storage system to obtain dynamic response characteristics of the shaft system in an operation process; determining at least one dangerous part of the shaft system of the compressed air energy storage system based on a preset stress amplitude-service life curve when the material is damaged and a stress concentration coefficient of the shaft system material; and calculating the fatigue life damage degree of each dangerous part under a plurality of fatigue life damage analysis working conditions by utilizing a preset rain flow counting method and a preset material fatigue life prediction theory based on the dynamic response characteristics and the at least one dangerous part. Therefore, through the steps of torsional vibration response calculation of each part of the system shafting, stress analysis and dangerous part determination of the system shafting, fatigue life damage degree calculation of the dangerous part of the system shafting, and maintenance and replacement of damaged parts of the system shafting, evaluation of the torsional vibration fatigue life damage of the compressed air energy storage system shafting is realized.

Description

Technical Field

[0001] This application relates to the field of new energy technologies, and particularly to a method for evaluating torsional vibration damage of the shafting system in a compressed air energy storage system. Background Art

[0002] In recent years, with the continuous increase in the capacity of compressed air energy storage systems, higher requirements have been put forward for the safety and stability of compressed air energy storage systems. Since the power generation side of the compressed air energy storage system adopts a mechanical structure in which multiple turbines are coaxially connected to a synchronous generator, severe shafting oscillation phenomena are likely to occur when subjected to external disturbances, causing irreversible damage to the shafting system of the compressed air energy storage system. The long-term accumulation of damage may even cause shaft segment fractures, seriously affecting the operating life of the components of the compressed air energy storage system, significantly increasing the operation and maintenance costs of the system, and endangering the safe operation of the compressed air energy storage system.

[0003] Existing research is difficult to evaluate the torsional vibration damage of compressed air energy storage systems. Therefore, it is necessary to study a method for evaluating torsional vibration damage of the shafting system in a compressed air energy storage system. Summary of the Invention

[0004] This application provides a method for evaluating torsional vibration damage of the shafting system in a compressed air energy storage system to solve the problem that existing research is difficult to evaluate the torsional vibration damage of compressed air energy storage systems, timely discover severely damaged parts of the shafting system, and ensure the safe and stable operation of the system.

[0005] To achieve the above object, the first aspect embodiment of this application proposes a method for evaluating torsional vibration damage of the shafting system in a compressed air energy storage system, including the following steps:

[0006] Calculate the torsional vibration response of each part of the shafting system in the compressed air energy storage system to obtain the dynamic response characteristics of the shafting system during operation;

[0007] Based on a preset stress amplitude - life curve at material damage and the stress concentration factor of the shafting system material, determine at least one dangerous part of the shafting system in the compressed air energy storage system;

[0008] Based on the dynamic response characteristics and the at least one dangerous part, use the preset rain - flow counting method and the preset material fatigue life prediction theory to calculate the fatigue life damage degree of each dangerous part under multiple fatigue life damage analysis conditions, and obtain the influence of shafting oscillation on the life of components in the compressed air energy storage system.

[0009] According to an embodiment of this application, the calculating the torsional vibration response of each part of the shafting system in the compressed air energy storage system to obtain the dynamic response characteristics of the shafting system during operation includes:

[0010] Based on a preset multi-mass block model, the shafting of the compressed air energy storage system is modeled to obtain the first motion equation of the shafting of the compressed air energy storage system;

[0011] Based on the first motion equation, using a preset finite element modeling strategy, finite element modeling of the shafting of the compressed air energy storage system is carried out to obtain the second motion equation of the shafting of the compressed air energy storage system;

[0012] Based on the second motion equation, the dynamic response characteristics of the shafting during operation are obtained.

[0013] According to an embodiment of the present application, the second motion equation is:

[0014]

[0015] wherein, F is the excitation force column vector of each unit of the compressed air energy storage system, M u is the inertia constant matrix of the corresponding unit, D u is the damping coefficient matrix of the corresponding unit, K u is the stiffness coefficient matrix of the corresponding unit, and u is the displacement vector of the shape function.

[0016] According to an embodiment of the present application, before determining at least one dangerous part of the shafting of the compressed air energy storage system based on the preset stress amplitude - life curve at material damage and the stress concentration coefficient of the shafting material, it further includes:

[0017] Using a preset fatigue testing machine to apply cyclic loads to the test samples, recording the number of cycles corresponding to each stress level until the samples break, to obtain the preset stress amplitude - life curve at material damage;

[0018] Based on the second motion equation, the stress concentration coefficient of the shafting material is calculated.

[0019] According to an embodiment of the present application, the method of calculating the fatigue life damage degree of each dangerous part and obtaining the influence of shafting oscillation on the life of components of the compressed air energy storage system by using the preset rain flow counting method and the preset material fatigue life prediction theory includes:

[0020] Using the preset rain flow counting method to count the torque amplitude within a preset time period;

[0021] Based on the torque amplitude, using the preset material fatigue life prediction theory, evaluating the fatigue life damage values of each dangerous part under different amplitude stresses under the conditions of different torque loading periods;

[0022] Linearly superimpose the fatigue life damage values of each dangerous part under different amplitude stresses to obtain the fatigue life damage degree of each dangerous part, and obtain the influence of shafting oscillation on the life of components of the compressed air energy storage system, so that the user can repair and replace the dangerous parts that meet the preset interval determined based on the fatigue life damage degree.

[0023] According to an embodiment of the present application, the fatigue life damage degree of each dangerous part is:

[0024]

[0025] Where n i is the number of cycles of the i-th stress, and N i is the number of cycles allowed for the i-th stress, l is the total number of stresses, and i is a natural number.

[0026] According to the torsional vibration damage evaluation method of the shafting of the compressed air energy storage system proposed by the embodiment of the present application, by calculating the torsional vibration response of each part of the shafting of the compressed air energy storage system, the dynamic response characteristics of the shafting during operation are obtained; based on the preset stress amplitude-life curve at material damage and the stress concentration coefficient of the shafting material, at least one dangerous part of the shafting of the compressed air energy storage system is determined; based on the dynamic response characteristics and at least one dangerous part, using the preset rainflow counting method and the preset material fatigue life prediction theory, calculate the fatigue life damage degree of each dangerous part under multiple fatigue life damage analysis conditions, and obtain the influence of shafting oscillation on the life of components of the compressed air energy storage system. Thus, through the four steps of calculating the torsional vibration response of each part of the system shafting, analyzing the stress of the system shafting and determining the dangerous parts, calculating the fatigue life damage degree of the dangerous parts of the system shafting, and repairing and replacing the damaged components of the system shafting, the evaluation of the torsional vibration fatigue life damage of the shafting of the compressed air energy storage system can be realized, and the parts with serious torsional vibration damage of the shafting can be found in time to ensure the safe and stable operation of the system.

[0027] To achieve the above object, an embodiment of the second aspect of the present application proposes a torsional vibration damage evaluation device for the shafting of a compressed air energy storage system, including:

[0028] A first calculation module, configured to calculate the torsional vibration response of each part of the shafting of the compressed air energy storage system, and obtain the dynamic response characteristics of the shafting during operation;

[0029] A determination module, configured to determine at least one dangerous part of the shafting of the compressed air energy storage system based on the preset stress amplitude-life curve at material damage and the stress concentration coefficient of the shafting material;

[0030] A second calculation module, configured to calculate the fatigue life damage degree of each dangerous part under multiple fatigue life damage analysis conditions based on the dynamic response characteristics and the at least one dangerous part, and utilize a preset rainflow counting method and a preset material fatigue life prediction theory, so as to obtain the influence of shafting oscillation on the life of components of the compressed air energy storage system.

[0031] According to an embodiment of the present application, the first calculation module is specifically configured to:

[0032] Based on a preset multi-mass block model, model the shafting of the compressed air energy storage system to obtain a first motion equation of the shafting of the compressed air energy storage system;

[0033] Based on the first motion equation, utilize a preset finite element modeling strategy to perform finite element modeling on the shafting of the compressed air energy storage system to obtain a second motion equation of the shafting of the compressed air energy storage system;

[0034] Based on the second motion equation, obtain the dynamic response characteristics of the shafting during operation.

[0035] According to an embodiment of the present application, the second motion equation is:

[0036]

[0037] Wherein, F is the excitation force column vector of each unit of the compressed air energy storage system, M u is the inertia constant matrix of the corresponding unit, D u is the damping coefficient matrix of the corresponding unit, K u is the stiffness coefficient matrix of the corresponding unit, and u is the displacement vector of the shape function.

[0038] According to an embodiment of the present application, before determining at least one dangerous part of the shafting of the compressed air energy storage system based on the preset stress amplitude - life curve at material damage and the stress concentration coefficient of the shafting material, the determining module is further configured to:

[0039] Apply a cyclic load to a test sample by using a preset fatigue testing machine, record the number of cycles corresponding to each stress level until the sample breaks, so as to obtain the preset stress amplitude - life curve at material damage;

[0040] Based on the second motion equation, calculate the stress concentration coefficient of the shafting material.

[0041] According to an embodiment of the present application, the second calculation module is specifically configured to:

[0042] Utilize the preset rainflow counting method to count the torque amplitude within a preset duration;

[0043] Based on the torque amplitude, using the preset material fatigue life prediction theory, evaluate the fatigue life damage values of each of the dangerous parts under different amplitude stresses under the working conditions of different torque loading cycles;

[0044] Linearly superimpose the fatigue life damage values of each dangerous part under different amplitude stresses to obtain the fatigue life damage degree of each dangerous part, and obtain the influence of shafting oscillation on the life of components of the compressed air energy storage system, so that the user can repair and replace the dangerous parts that meet the preset interval determined based on the fatigue life damage degree.

[0045] According to an embodiment of the present application, the fatigue life damage degree of each of the dangerous parts is:

[0046]

[0047] where n i is the number of cycles of the i-th stress, N i is the number of cycles allowed for the i-th stress, l is the total number of stresses, and i is a natural number.

[0048] According to the shafting torsional vibration damage evaluation device of the compressed air energy storage system proposed by the embodiment of the present application, by calculating the torsional vibration response of each part of the shafting of the compressed air energy storage system, the dynamic response characteristics of the shafting during operation are obtained; based on the preset stress amplitude - life curve at material damage and the stress concentration coefficient of the shafting material, at least one dangerous part of the shafting of the compressed air energy storage system is determined; based on the dynamic response characteristics and at least one dangerous part, using the preset rainflow counting method and the preset material fatigue life prediction theory, calculate the fatigue life damage degree of each dangerous part under multiple fatigue life damage analysis working conditions. Thus, through the four steps of calculating the torsional vibration response of each part of the system shafting, analyzing the stress of the system shafting and determining the dangerous parts, calculating the fatigue life damage degree of the dangerous parts of the system shafting, and repairing and replacing the damaged components of the system shafting, the evaluation of the torsional vibration fatigue life damage of the shafting of the compressed air energy storage system can be realized, the influence of shafting oscillation on the life of components of the compressed air energy storage system can be obtained, the parts with serious torsional vibration damage of the shafting can be found in time, and the safe and stable operation of the system can be ensured.

[0049] To achieve the above object, an embodiment of the third aspect of the present application proposes an electronic device, including: a memory, a processor, and a computer program stored on the memory and executable on the processor, and the processor executes the program to implement the method for evaluating the torsional vibration damage of the shafting of the compressed air energy storage system as described in the above embodiment.

[0050] To achieve the above object, an embodiment of the fourth aspect of the present application provides a computer-readable storage medium, on which a computer program is stored, and the program is executed by a processor to implement the method for evaluating the torsional vibration damage of the shafting of a compressed air energy storage system as described in the above embodiments.

[0051] To achieve the above object, an embodiment of the fifth aspect of the present application provides a computer program product, which includes a computer program. When the computer program is executed by a processor, it is used to implement the method for evaluating the torsional vibration damage of the shafting of a compressed air energy storage system as described in the above embodiments.

[0052] Additional aspects and advantages of the present application will be given in part in the following description, become apparent in part from the following description, or be learned through the practice of the present application. Description of the Drawings

[0053] The above and / or additional aspects and advantages of the present application will become apparent and be readily understood from the following description of the embodiments in conjunction with the drawings, where:

[0054] Figure 1 is a flowchart of a method for evaluating the torsional vibration damage of the shafting of a compressed air energy storage system according to an embodiment of the present application;

[0055] Figure 2 is a flowchart of another method for evaluating the torsional vibration damage of the shafting of a compressed air energy storage system according to an embodiment of the present application;

[0056] Figure 3 is a block diagram of a device for evaluating the torsional vibration damage of the shafting of a compressed air energy storage system according to an embodiment of the present application;

[0057] Figure 4 is a schematic structural diagram of an electronic device according to an embodiment of the present application. Detailed Description of the Embodiments

[0058] The embodiments of the present application will be described in detail below. The examples of the embodiments are shown in the drawings, where the same or similar reference numerals denote the same or similar elements or elements having the same or similar functions throughout. The embodiments described below with reference to the drawings are exemplary and are intended to explain the present application, and should not be construed as limiting the present application.

[0059] The method for evaluating the torsional vibration damage of the shafting of a compressed air energy storage system according to an embodiment of the present application will be described below with reference to the drawings.

[0060] Figure 1 is a flowchart of a method for evaluating the torsional vibration damage of the shafting of a compressed air energy storage system according to an embodiment of the present application.

[0061] As Figure 1As shown in the figure, the method for evaluating torsional vibration damage of the shafting system of the compressed air energy storage system includes the following steps:

[0062] In step S101, calculate the torsional vibration response of each part of the shafting system of the compressed air energy storage system to obtain the dynamic response characteristics of the shafting system during operation.

[0063] Among them, torsional vibration refers to the vibration phenomenon generated by an object due to the action of a torsional moment, which is similar to the reciprocating motion of a spring oscillator, but here it is a rotational vibration around the axis; the shafting system refers to a series of interconnected shafts in the system, these shafts are supported by bearings and can transmit torque and motion; the dynamic response characteristics describe the behavior and performance of the system or component when subjected to external excitations (such as force, torque, etc.), including their vibration frequency, amplitude, phase, etc.

[0064] It can be understood that on the power generation side of the compressed air energy storage system, the multi-stage turbine and the synchronous generator are coaxially connected. To facilitate the determination of the vulnerable parts of the system shafting, it is necessary to calculate the torque response of each part of the shafting system of the compressed air energy storage system, that is, to analyze the reactions and changes of each component of the shafting system in the compressed air energy storage system when subjected to torsional vibration. By performing torsional vibration analysis on each part of the shafting system, the dynamic behavior of each part under different working conditions can be understood, potential torsional vibration problems can be identified, and corresponding measures can be taken to optimize the system design, thereby ensuring the stability and reliability of the system.

[0065] The following details how to calculate the torsional vibration response of each part of the shafting system of the compressed air energy storage system.

[0066] As a possible implementation method, in some embodiments, calculating the torsional vibration response of each part of the shafting system of the compressed air energy storage system to obtain the dynamic response characteristics of the shafting system during operation includes: based on a preset multi-mass block model, modeling the shafting system of the compressed air energy storage system to obtain the first motion equation of the shafting system of the compressed air energy storage system; based on the first motion equation, using a preset finite element modeling strategy to perform finite element modeling on the shafting system of the compressed air energy storage system to obtain the second motion equation of the shafting system of the compressed air energy storage system; based on the second motion equation, obtaining the dynamic response characteristics of the shafting system during operation.

[0067] Among them, the preset multi-mass block model refers to a theoretical model used to simulate the mass distribution and motion state of the shafting system. It divides the shafting system into multiple mass blocks and assumes that these mass blocks are connected by springs and dampers to approximate the dynamic behavior of the actual shafting system; the finite element modeling strategy is a numerical analysis method that divides a complex structure into many small and simple units (finite elements), then analyzes the physical behavior of these units through computer simulation, and finally synthesizes the behavior of these units to obtain the response of the entire structure.

[0068] Specifically, first, a full-scale model of the shafting system of the compressed air energy storage system can be established using the preset multi-mass block model by means of the finite element method, thereby obtaining the first equation of motion of the system (as shown in Equation (1)).

[0069]

[0070] Among them, M is the inertia constant matrix, D is the damping coefficient matrix, K is the stiffness coefficient matrix, θ is the column vector of the angular oscillation amplitudes of each mass block, T is the column vector of the input torque oscillation amplitudes of each mass block, and the dot above represents the rate of change of the variable with time.

[0071] The first equation of motion can calculate the angular response of each mass block and the torque response on each connecting shaft, but it cannot be refined to the torque response of each part of the shafting system. Further, based on this first equation of motion, using the preset finite element modeling strategy, a more refined finite element modeling of the shafting system of the compressed air energy storage system is carried out. The shafting system is divided into many elements and nodes, and each element is discretized. The equivalent inertial force column vector and the equivalent damping force column vector inside the element can be respectively expressed as:

[0072] F M =-∫∫∫N T ρNdxdydzu=-M u u; (2)

[0073] F D =-∫∫∫N T μNdxdydzu=-D u u; (3)

[0074] Among them, F M is the equivalent inertial force column vector inside the element, F D is the equivalent damping force column vector inside the element, N is the shape function of the corresponding element, u is the displacement vector of the shape function, M u is the inertia constant matrix of the corresponding element, D u is the damping coefficient matrix of the corresponding element.

[0075] Therefore, the finite element equation of motion of the shafting system of the compressed air energy storage system (i.e., the second equation of motion) can be expressed as:

[0076]

[0077] Among them, F is the exciting force column vector of each element of the compressed air energy storage system, M u is the inertia constant matrix of the corresponding element, D u is the damping coefficient matrix of the corresponding element, K uis the stiffness coefficient matrix of the corresponding element, u is the displacement vector of the shape function, and the dot above represents the rate of change of the variable with time.

[0078] According to this second motion equation, the natural oscillation frequency of the shafting of the compressed air energy storage system and the torque response of each part of the system shafting can be obtained, so as to accurately capture the dynamic response characteristics of the shafting of the compressed air energy storage system during operation. Through this comprehensive modeling and analysis method, the efficient operation and long-term stability of the compressed air energy storage system can be ensured.

[0079] In step S102, based on the preset stress amplitude - life curve at material damage and the stress concentration factor of the shafting material of the compressed air energy storage system, at least one dangerous part of the shafting of the compressed air energy storage system is determined.

[0080] Among them, the stress concentration factor is used to quantify the degree of stress concentration caused by structural discontinuities (such as notches, holes, sudden changes, etc.), and is a key parameter for evaluating the fatigue and fracture risks of the structure.

[0081] That is to say, after calculating the torsional vibration response of each part of the shafting of the compressed air energy storage system, the stress analysis of the shafting of the compressed air energy storage system can be carried out next. By drawing the stress distribution diagram and identifying the stress concentration area, the potential dangerous parts in the shafting of the compressed air energy storage system can be determined, so as to provide an important basis for subsequent maintenance and overhaul.

[0082] Specifically, based on the preset stress amplitude - life curve at material damage and the stress concentration factor of the shafting material of the compressed air energy storage system, the stress change law of each part of the shafting of the compressed air energy storage system under different torques is deeply analyzed. Through this analysis, at least one dangerous part of the shafting of the compressed air energy storage system can be further determined. Usually, these dangerous parts mainly appear in stress concentration areas such as journal bearings and joints. Due to the stress concentration effect, these areas are more likely to suffer from fatigue damage or fracture, thus threatening the safe operation of the entire system. By identifying and analyzing these potential dangerous parts, a targeted maintenance and overhaul plan can be formulated to ensure the stable and reliable operation of the compressed air energy storage system.

[0083] For the convenience of understanding, the following details how to obtain the preset stress amplitude - life curve at material damage and the stress concentration factor of the shafting material.

[0084] As a possible implementation manner, in some embodiments, before determining at least one dangerous part of the shafting system of the compressed air energy storage system based on the preset stress amplitude - life curve at material damage and the stress concentration factor of the shafting material, it further includes: applying a cyclic load to a test sample by using a preset fatigue testing machine, recording the number of cycles corresponding to each stress level until the sample breaks, to obtain the preset stress amplitude - life curve at material damage; calculating the stress concentration factor of the shafting material based on the second motion equation.

[0085] When performing a safety analysis on the shafting system of a compressed air energy storage system, it is first necessary to determine which parts may be dangerous. This usually involves an experimental process, that is, applying a repeated load, namely a cyclic load, to the test sample of the shafting system by using a special fatigue testing machine. Through this experiment, the number of cycles that the shafting sample can withstand at different stress levels can be recorded until the sample breaks. Based on these data, the S - N curve (i.e., the preset stress amplitude - life curve at material damage) of the shafting material of the compressed air energy storage system can be plotted, where S represents the stress amplitude and N represents the life at material failure. This curve helps to understand the fatigue characteristics of the material under different stress conditions. To more precisely analyze the fatigue performance of the shafting material, based on the established finite element model of the shafting system (i.e., the second motion equation), stress analysis can be carried out by using Ansys software (a software widely used in the field of engineering simulation, which can simulate various physical processes, such as structural analysis, fluid dynamics, thermal analysis, etc.). In Ansys software, information such as material properties, boundary conditions, and loads can be input, and the software will calculate based on the finite element equation (the second motion equation) to obtain the stress distribution of the shafting system of the compressed air energy storage system. According to the analysis results of the stress concentration area, the stress concentration factor can be calculated. This coefficient can help engineers evaluate the dangerous parts that may appear in the shafting system under specific loads, so as to reinforce these parts or improve the design to avoid potential fractures or damages.

[0086] In step S103, based on the dynamic response characteristics and at least one dangerous part, by using the preset rain - flow counting method and the preset material fatigue life prediction theory, calculate the fatigue life damage degree of each dangerous part under multiple fatigue life damage analysis conditions, and obtain the influence of the shafting oscillation on the life of the components of the compressed air energy storage system.

[0087] Among them, the preset rainflow counting method is a statistical method for analyzing and processing random load data. It simulates the process of raindrops flowing down from the roof to calculate load cycles and is particularly suitable for fatigue analysis. The preset material fatigue life prediction theory is the Miner linear cumulative damage theory, which is a theory for predicting the fatigue life of materials. It is based on a simple assumption that the fatigue life damage of materials at different stress levels can be linearly accumulated. Fatigue life damage refers to the damage gradually generated by materials under repeated stress. This damage may not immediately cause material failure, but long-term accumulation will reduce the service life or performance of materials.

[0088] That is to say, based on the dynamic response characteristics and at least one dangerous part, the preset rainflow counting method can be used to count the amplitude of the torque (rotating moment), that is, the magnitude and change frequency of the torque. Then, the Miner linear cumulative damage theory (i.e., the preset material fatigue life prediction theory) is used to calculate the degree of fatigue life damage of the already determined dangerous parts in the shafting of the compressed air energy storage system, evaluate the possible fatigue life damage during long-term operation, and predict its service life and reliability.

[0089] The following will detail how to calculate the degree of fatigue life damage of each dangerous part by using the preset rainflow counting method and the preset material fatigue life prediction theory.

[0090] As a possible implementation method, in some embodiments, by using the preset rainflow counting method and the preset material fatigue life prediction theory, the degree of fatigue life damage of each dangerous part is calculated under multiple fatigue life damage analysis conditions to obtain the influence of shafting oscillation on the life of components of the compressed air energy storage system, including: using the preset rainflow counting method to count the torque amplitude within a preset time period; based on the torque amplitude, using the preset material fatigue life prediction theory to evaluate the fatigue life damage values of each dangerous part under different amplitude stresses in different torque loading cycle conditions; linearly superimposing the fatigue life damage values of each dangerous part under different amplitude stresses to obtain the degree of fatigue life damage of each dangerous part, and obtaining the influence of shafting oscillation on the life of components of the compressed air energy storage system, so that users can repair and replace the dangerous parts that meet the preset interval determined based on the degree of fatigue life damage.

[0091] Specifically, through the preset rainflow counting method, a detailed statistical analysis can be carried out on the torque amplitude within a specific time period. This method can accurately capture every detail of the torque change, thereby providing reliable data support for subsequent fatigue analysis. Based on these torque amplitude data, the preset material fatigue life prediction theory can be used to scientifically evaluate the fatigue life damage values of each dangerous part under different torque loading cycles and different amplitude stress conditions. The fatigue life damage of the material under different amplitude stresses can be regarded as independent. By linearly superimposing the fatigue life damage values of each dangerous part at different amplitude stress levels, the total fatigue life damage degree of each part can be formed. This superimposing method takes into account the cumulative effect of different stress levels on fatigue life damage, making the evaluation results more comprehensive and accurate. Conducting fatigue life damage analysis under the torque conditions of different loading cycles and comparing the changes in the fatigue life damage of the shafting under different cycles can obtain the influence of shafting oscillation on the life of the components of the compressed air energy storage system. In this way, those dangerous parts with a higher degree of fatigue life damage can be clearly identified, thereby providing a clear basis for maintenance and replacement. Users can take corresponding maintenance measures according to these dangerous parts determined based on the degree of fatigue life damage to ensure the safe operation of the equipment and extend its service life.

[0092] Optionally, in some embodiments, the fatigue life damage degree of each dangerous part is:

[0093]

[0094] Where n i is the number of cycles of the i-th stress, N i is the number of cycles allowed for the i-th stress, l is the total number of stresses, and i is a natural number.

[0095] When the cumulative damage value of a dangerous component reaches 1, it means that it has exceeded its originally set service life and has suffered damage that cannot continue to be used safely.

[0096] Therefore, by extracting the cumulative damage values of each dangerous part, the components with cumulative damage values close to 1 can be repaired and replaced in a timely manner to ensure the safe and stable operation of the system.

[0097] To facilitate those skilled in the art to further understand the shafting torsional vibration damage evaluation method of the compressed air energy storage system proposed in the embodiments of the present application, the following will be further elaborated in combination with Figure 2 for further elaboration.

[0098] As Figure 2 shown, the shafting torsional vibration damage evaluation method of the compressed air energy storage system may further include the following steps:

[0099] Step S201: Calculate the torsional vibration response of each part of the shafting system of the compressed air energy storage system.

[0100] Step S202: Based on the S-N curve obtained from the fatigue test and the stress concentration coefficient obtained from the finite element model, conduct stress analysis of the shafting system of the compressed air energy storage system and determine the dangerous parts.

[0101] Step S203: Calculate the fatigue life damage degree of the dangerous parts of the shafting system of the compressed air energy storage system.

[0102] Step S204: Repair and replace the damaged components of the shafting system of the compressed air energy storage system.

[0103] According to the torsional vibration damage evaluation method of the shafting system of the compressed air energy storage system proposed in the embodiment of the present application, by calculating the torsional vibration response of each part of the shafting system of the compressed air energy storage system, the dynamic response characteristics of the shafting system during operation are obtained; based on the preset stress amplitude - life curve at material damage and the stress concentration coefficient of the shafting material, at least one dangerous part of the shafting system of the compressed air energy storage system is determined; based on the dynamic response characteristics and at least one dangerous part, using the preset rainflow counting method and the preset material fatigue life prediction theory, calculate the fatigue life damage degree of each dangerous part under multiple fatigue life damage analysis conditions, and obtain the influence of the shafting oscillation on the life of the components of the compressed air energy storage system. Thus, through the four steps of calculating the torsional vibration response of each part of the system shafting, stress analysis of the system shafting and determination of dangerous parts, calculation of the fatigue life damage degree of the dangerous parts of the system shafting, and repair and replacement of the damaged components of the system shafting, the evaluation of the torsional vibration fatigue life damage of the shafting system of the compressed air energy storage system can be realized, the severely damaged parts of the shafting torsional vibration can be found in time, and the safe and stable operation of the system can be ensured.

[0104] Next, describe the torsional vibration damage evaluation device of the shafting system of the compressed air energy storage system proposed in the embodiment of the present application with reference to the drawings.

[0105] Figure 3 It is a block diagram of the torsional vibration damage evaluation device of the shafting system of the compressed air energy storage system according to an embodiment of the present application.

[0106] As Figure 3 shown, the torsional vibration damage evaluation device 10 of the shafting system of the compressed air energy storage system includes: a first calculation module 100, a determination module 200, and a second calculation module 300.

[0107] Among them, the first calculation module 100 is used to calculate the torsional vibration response of each part of the shafting system of the compressed air energy storage system, and obtain the dynamic response characteristics of the shafting system during operation;

[0108] A determination module 200, configured to determine at least one dangerous part of the shafting of the compressed air energy storage system based on a preset stress amplitude - life curve at material damage and the stress concentration factor of the shafting material;

[0109] A second calculation module 300, configured to calculate the fatigue life damage degree of each dangerous part under multiple fatigue life damage analysis conditions based on the dynamic response characteristics and at least one dangerous part, and utilize a preset rainflow counting method and a preset material fatigue life prediction theory, so as to obtain the influence of shafting oscillation on the life of components of the compressed air energy storage system.

[0110] Further, in some embodiments, the first calculation module 100 is specifically configured to:

[0111] Based on a preset multi - mass block model, model the shafting of the compressed air energy storage system to obtain a first motion equation of the shafting of the compressed air energy storage system;

[0112] Based on the first motion equation, utilize a preset finite element modeling strategy to perform finite element modeling on the shafting of the compressed air energy storage system to obtain a second motion equation of the shafting of the compressed air energy storage system;

[0113] Based on the second motion equation, obtain the dynamic response characteristics of the shafting during operation.

[0114] Further, in some embodiments, the second motion equation is:

[0115]

[0116] Wherein, F is the excitation force column vector of each unit of the compressed air energy storage system, M u is the inertia constant matrix of the corresponding unit, D u is the damping coefficient matrix of the corresponding unit, K u is the stiffness coefficient matrix of the corresponding unit, and u is the displacement vector of the shape function.

[0117] Further, in some embodiments, before determining at least one dangerous part of the shafting of the compressed air energy storage system based on a preset stress amplitude - life curve at material damage and the stress concentration factor of the shafting material, the determination module 200 is further configured to:

[0118] Apply a cyclic load to a test sample by using a preset fatigue testing machine, record the number of cycles corresponding to each stress level until the sample breaks, so as to obtain a preset stress amplitude - life curve at material damage;

[0119] Based on the second motion equation, calculate the stress concentration factor of the shafting material.

[0120] Further, in some embodiments, the second calculation module 300 is specifically configured to:

[0121] Use the preset rainflow counting method to count the torque amplitude within a preset duration;

[0122] Based on the torque amplitude, use the preset material fatigue life prediction theory to evaluate the fatigue life damage value of each dangerous part under different stress amplitudes in different torque loading cycle conditions;

[0123] Linearly superimpose the fatigue life damage values of each dangerous part under different stress amplitudes to obtain the fatigue life damage degree of each dangerous part, and obtain the influence of shafting oscillation on the life of components of the compressed air energy storage system, so that the user can repair and replace the dangerous parts that meet the preset interval determined based on the fatigue life damage degree.

[0124] Further, in some embodiments, the fatigue life damage degree of each dangerous part is:

[0125]

[0126] where n i is the number of cycles of the i-th stress, N i is the number of cycles allowed for the i-th stress, l is the total number of stresses, and i is a natural number.

[0127] It should be noted that the foregoing explanation of the embodiments of the method for evaluating the torsional vibration damage of the shafting of the compressed air energy storage system also applies to the device for evaluating the torsional vibration damage of the shafting of the compressed air energy storage system in this embodiment, and will not be elaborated here.

[0128] According to the device for evaluating the torsional vibration damage of the shafting of the compressed air energy storage system proposed in the embodiments of the present application, by calculating the torsional vibration response of each part of the shafting of the compressed air energy storage system, the dynamic response characteristics of the shafting during operation are obtained; based on the preset stress amplitude - life curve at material damage and the stress concentration coefficient of the shafting material, at least one dangerous part of the shafting of the compressed air energy storage system is determined; based on the dynamic response characteristics and at least one dangerous part, using the preset rainflow counting method and the preset material fatigue life prediction theory, calculate the fatigue life damage degree of each dangerous part under different torque conditions of the loading cycle, and obtain the influence of shafting oscillation on the life of components of the compressed air energy storage system. Thus, through four steps of calculating the torsional vibration response of each part of the system shafting, analyzing the stress of the system shafting and determining the dangerous parts, calculating the fatigue life damage degree of the dangerous parts of the system shafting, and repairing and replacing the damaged components of the system shafting, the evaluation of the torsional vibration fatigue life damage of the shafting of the compressed air energy storage system can be realized, and the severely damaged parts of the shafting torsional vibration can be found in time to ensure the safe and stable operation of the system.

[0129] Figure 4Schematic diagram of the structure of the electronic device provided by the embodiment of the present application. The electronic device may include:

[0130] A memory 401, a processor 402, and a computer program stored on the memory 401 and executable on the processor 402.

[0131] When the processor 402 executes the program, it implements the method for evaluating the torsional vibration damage of the shafting of the compressed air energy storage system provided in the above embodiment.

[0132] Furthermore, the electronic device further includes:

[0133] A communication interface 403 for communication between the memory 401 and the processor 402.

[0134] The memory 401 is used to store a computer program executable on the processor 402.

[0135] The memory 401 may include a high-speed RAM (Random Access Memory) memory, and may also include a non-volatile memory, such as at least one disk memory.

[0136] If the memory 401, the processor 402, and the communication interface 403 are implemented independently, the communication interface 403, the memory 401, and the processor 402 may be interconnected through a bus and complete communication with each other. The bus may be an ISA (Industry Standard Architecture) bus, a PCI (Peripheral Component Interconnect) bus, or an EISA (Extended Industry Standard Architecture) bus, etc. The bus may be divided into an address bus, a data bus, a control bus, etc. For the sake of representation, Figure 4 only a thick line is used to represent it in the figure, but it does not mean that there is only one bus or one type of bus.

[0137] Optionally, in a specific implementation, if the memory 401, the processor 402, and the communication interface 403 are integrated on a chip, the memory 401, the processor 402, and the communication interface 403 may complete communication with each other through an internal interface.

[0138] The processor 402 may be a CPU (Central Processing Unit), or an ASIC (Application Specific Integrated Circuit), or one or more integrated circuits configured to implement the embodiments of the present application.

[0139] Embodiments of the present application also provide a computer-readable storage medium, on which a computer program is stored. When the program is executed by a processor, the above-mentioned method for evaluating torsional vibration damage of the shafting of a compressed air energy storage system is implemented.

[0140] Embodiments of the present application also provide a computer program product, which includes a computer program. When the computer program is executed by a processor, the above-mentioned method for evaluating torsional vibration damage of the shafting of a compressed air energy storage system is implemented.

[0141] In addition, the terms "first" and "second" are used for descriptive purposes only and cannot be construed as indicating or implying relative importance or implicitly specifying the quantity of the indicated technical features. Thus, features defined with "first" and "second" may explicitly or implicitly include at least one such feature. In the description of the present application, "a plurality" means at least two, such as two, three, etc., unless otherwise specifically defined.

[0142] In the description of this specification, the descriptions with reference to the terms "one embodiment", "some embodiments", "example", "specific example", or "some examples", etc. mean that the specific features, structures, materials, or characteristics described in connection with the embodiment or example are included in at least one embodiment or example of the present application. In this specification, the schematic representations of the above terms are not necessarily directed to the same embodiment or example. Moreover, the specific features, structures, materials, or characteristics described may be combined in any one or more embodiments or examples in a suitable manner. In addition, without contradiction, those skilled in the art may combine and combine the different embodiments or examples described in this specification and the features of the different embodiments or examples.

[0143] Although the embodiments of the present application have been shown and described above, it can be understood that the above embodiments are exemplary and should not be construed as limiting the present application. Those of ordinary skill in the art can make changes, modifications, substitutions, and variations to the above embodiments within the scope of the present application.

Claims

1. A method for evaluating shaft torsional vibration damage of a compressed air energy storage system, characterized in that: The following steps are involved: Calculate the torsional vibration response of each part of the compressed air energy storage system shaft system to obtain the dynamic response characteristics of the shaft system during operation; Determine at least one dangerous part of the shaft system of the compressed air energy storage system based on a preset stress amplitude-life curve when the material is damaged and a stress concentration factor of the shaft system material; Based on the dynamic response characteristics and the at least one dangerous part, the preset rain flow counting method and the preset material fatigue life prediction theory are used to calculate the fatigue life damage degree of each dangerous part under multiple fatigue life damage analysis conditions, and obtain the influence of shaft system oscillation on the life of compressed air energy storage system components.

2. The method according to claim 1, characterized in that The torsional vibration response of each part of the shaft system of the compressed air energy storage system is calculated to obtain the dynamic response characteristics of the shaft system during operation, including: Modeling the axis system of the compressed air energy storage system based on a preset multi-mass block model to obtain a first motion equation of the axis system of the compressed air energy storage system; Based on the first motion equation, using a preset finite element modeling strategy, finite element modeling is performed on the shaft system of the compressed air energy storage system to obtain a second motion equation of the shaft system of the compressed air energy storage system; Based on the second motion equation, the dynamic response characteristics of the shaft system during operation are obtained.

3. The method according to claim 2, characterized in that The second motion equation is: Wherein, F is the exciting force column vector of each unit of the compressed air energy storage system, M u is the inertia constant matrix of the corresponding unit, D u is the damping coefficient matrix of the corresponding unit, K u is the stiffness coefficient matrix of the corresponding unit, and u is the displacement vector of the shape function.

4. The method according to claim 2, characterized in that: Before determining at least one dangerous part of the shaft system of the compressed air energy storage system based on the preset stress amplitude-life curve when the material is damaged and the stress concentration factor of the shaft system material, the method further includes: Apply cyclic load to the test sample using a preset fatigue testing machine, record the number of cycles corresponding to each stress level until the sample breaks, and obtain the preset stress amplitude-life curve when the material is damaged; Based on the second motion equation, the stress concentration factor of the shafting material is calculated.

5. The method according to claim 1, characterized in that The preset rain flow counting method and the preset material fatigue life prediction theory are used to calculate the fatigue life damage degree of each dangerous part under multiple fatigue life damage analysis conditions, and obtain the influence of shaft system oscillation on the life of compressed air energy storage system components, including: Utilizing the preset rain flow counting method to count the torque amplitude within a preset time period; Based on the torque amplitude, using the preset material fatigue life prediction theory, the fatigue life damage value of each dangerous part under different amplitude stresses is evaluated under different torque loading cycle conditions; The fatigue life damage values ​​of each dangerous part under different amplitude stresses are linearly superimposed to obtain the fatigue life damage degree of each dangerous part, and the influence of shaft system oscillation on the life of compressed air energy storage system components is obtained, so that users can inspect and replace the dangerous parts that meet the preset range determined based on the fatigue life damage degree.

6. The method according to claim 1 or 5, characterized in that: The fatigue life damage degree of each dangerous part is: Among them, n i is the number of cycles of the i-th stress, N i is the number of cycles allowed for the i-th stress, l is the total stress number, and i is a natural number.

7. A device for evaluating shaft torsional vibration damage of a compressed air energy storage system, characterized in that: include: The first calculation module is used to calculate the torsional vibration response of each part of the shaft system of the compressed air energy storage system to obtain the dynamic response characteristics of the shaft system during operation; A determination module, used to determine at least one dangerous part of the shaft system of the compressed air energy storage system based on a preset stress amplitude-life curve when the material is damaged and a stress concentration factor of the shaft system material; The second calculation module is used to calculate the fatigue life damage degree of each dangerous part under multiple fatigue life damage analysis conditions based on the dynamic response characteristics and the at least one dangerous part, using a preset rain flow counting method and a preset material fatigue life prediction theory, to obtain the influence of shaft system oscillation on the life of compressed air energy storage system components.

8. An electronic device, characterized in that: include: A memory, a processor, and a computer program stored in the memory and executable on the processor, wherein the processor executes the program to implement the method for evaluating shaft torsional vibration damage of a compressed air energy storage system as described in any one of claims 1 to 6.

9. A computer-readable storage medium having a computer program stored thereon, characterized in that: The program is executed by a processor to implement the method for evaluating shaft torsional vibration damage of a compressed air energy storage system as described in any one of claims 1 to 6.

10. A computer program product, characterized in that It includes a computer program, which, when executed by a processor, is used to implement the method for evaluating torsional vibration damage of a shaft system of a compressed air energy storage system as described in any one of claims 1 to 6.

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