Method for determining dynamic response characteristics of power equipment in damaged state

By obtaining the structural damping ratio and bending stiffness ratio of the power equipment, combining the earthquake acceleration, and determining the self-vibration frequency and dynamic response characteristics, the problem that traditional reinforcement measures cannot effectively improve the seismic performance of all equipment is solved, and refined reinforcement is achieved, and the seismic performance of the equipment is improved.

CN119915462AActive Publication Date: 2025-05-02YUNNAN POWER GRID CO LTD ELECTRIC POWER RES INST

Patent Information

Application Number
CN202510023895.9
Authority / Receiving Office
CN · China
Patent Type
Applications(China)
Current Assignee / Owner
Filing Date
2025-01-07
Publication Date
2025-05-02
Estimated Expiration
2045-01-07

AI Technical Summary

Technical Problem

Traditional reinforcement measures fail to fully consider the differences in stress distribution and damage patterns of different types of power equipment in vibration, resulting in the unifying reinforcement method being unable to effectively improve the seismic resistance of all equipment.

Method used

By obtaining the structural damping ratio and bending stiffness ratio of the power equipment, as well as the earthquake acceleration input from the outside, the self-vibration frequency and dynamic response characteristics are determined, and the refined reinforcement for different equipment is achieved.

Benefits of technology

The seismic resistance of the equipment is improved, the vibration amplitude and degree of damage of the equipment in earthquakes is reduced, and the structural layout and material selection are optimized.

✦ Generated by Eureka AI based on patent content.

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Abstract

The embodiment of the invention discloses a method for determining the dynamic response characteristics of power equipment in a damaged state, and the method comprises the steps: obtaining the structural damping ratio and the jth flexural rigidity ratio of the power equipment, and the ground motion acceleration at the jth moment and the ground motion acceleration at the (j + 1) th moment, which are inputted from the outside, and then determining the natural vibration frequency according to the jth flexural rigidity ratio, determining an acceleration increment, a speed increment and a displacement increment according to the natural vibration frequency, the structural damping ratio, the seismic acceleration at the jth moment and the seismic acceleration at the (j + 1) th moment, and finally determining an acceleration response at the (j + 1) th moment, a speed response at the (j + 1) th moment and a displacement response at the (j + 1) th moment according to the acceleration increment, the speed increment and the displacement increment; and different devices can be finely reinforced, so that the structural layout and the material selection are optimized, the anti-seismic performance of the devices is improved, and the vibration amplitude and the damage degree of the devices in an earthquake are reduced.
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Description

Technical Field

[0001] The present invention relates to the technical field of power systems, and in particular to a method for determining dynamic response characteristics of power equipment in a damaged state. Background Art

[0002] In geographical areas where earthquakes are frequent, the safe and stable operation of power facilities is of vital importance. Traditional reinforcement measures often use a unified method to protect various types of power equipment. Although such measures have improved the seismic resistance of these equipment to a certain extent, there are still the following problems: First, the complexity and uncertainty of earthquakes lead to different stress distributions and damage modes faced by different types of power equipment during vibration. Second, the traditional unified reinforcement method fails to fully consider the differences between equipment and ignores the different damages that may be caused to specific types of power equipment. These differences mean that a simple reinforcement measure may not be able to effectively improve the seismic performance of all equipment, resulting in limited overall seismic performance.

[0003] Further research found that the dynamic response characteristics of power equipment solved under earthquake damage can be used as the basis for the reinforcement of the corresponding power equipment. By accurately analyzing the dynamic response characteristics of each type of power equipment under earthquake action (i.e., acceleration response, velocity response, and displacement response), refined reinforcement can be achieved for different equipment, thereby effectively improving the seismic performance of the equipment.

[0004] However, current technology does not yet provide a method to solve the dynamic response characteristics under earthquake damage state. Summary of the invention

[0005] Based on this, it is necessary to propose a method for determining the dynamic response characteristics of power equipment in a damaged state to address the above problems, so that different equipment can be refined for reinforcement, thereby optimizing the structural layout and material selection, improving the seismic performance of the equipment, and reducing the vibration amplitude and degree of damage of the equipment in an earthquake.

[0006] To achieve the above object, the present invention provides, in a first aspect, a method for determining a dynamic response characteristic of an electric device in a damaged state, the method comprising:

[0007] Obtain the structural damping ratio and the jth bending stiffness ratio of the power equipment, as well as the external input ground motion acceleration at the jth moment and the ground motion acceleration at the j+1th moment, wherein the bending stiffness ratio is the ratio between the crack bending stiffness and the undamaged bending stiffness;

[0008] Determine the natural frequency according to the jth bending stiffness ratio;

[0009] Determining an acceleration increment, a velocity increment, and a displacement increment according to the natural frequency, the structural damping ratio, the seismic acceleration at the jth moment, and the seismic acceleration at the j+1th moment;

[0010] Determine the acceleration response at the j+1th moment, the velocity response at the j+1th moment, and the displacement response at the j+1th moment according to the acceleration increment, the velocity increment, and the displacement increment;

[0011] Among them, j takes integers greater than 0 in sequence until it is equal to the total number of bending stiffness ratios, so as to obtain the acceleration response, velocity response and displacement response corresponding to different bending stiffness ratios.

[0012] Optionally, determining the natural frequency according to the j-th bending stiffness ratio comprises:

[0013] Obtaining the structural length, structural section height, structural mass and undamaged bending stiffness of the power equipment;

[0014] determining a relative crack depth based on the structure length, the structure cross-sectional height, and the jth bending stiffness ratio;

[0015] determining a crack depth according to the relative crack depth and the structural cross-sectional height;

[0016] The natural frequency is determined based on the crack depth, the structural mass and the undamaged bending stiffness.

[0017] Optionally, determining the relative crack depth according to the structure length, the structure cross-sectional height and the j-th bending stiffness ratio comprises:

[0018] Using the formula determining the relative crack depth;

[0019] Among them, η j is the bending stiffness ratio at the jth moment, L is the length of the structure, π is the circumference, h is the height of the structure section, v is the Poisson's ratio, ζ j is the relative crack depth.

[0020] Optionally, determining the crack depth according to the relative crack depth and the structural cross-sectional height includes:

[0021] Using formula a j =ζ j h determines the crack depth;

[0022] The determining the natural frequency according to the crack depth, the structural mass and the undamaged bending stiffness comprises:

[0023] Using the formula determining the natural frequency;

[0024] Among them, a j is the crack depth, ζ j is the relative crack depth, h is the structural section height, ω j is the natural frequency, EI is the undamaged bending stiffness, and m is the structural mass.

[0025] Optionally, determining the acceleration increment, the velocity increment, and the displacement increment according to the natural frequency, the structural damping ratio, the seismic acceleration at the jth moment, and the seismic acceleration at the j+1th moment includes:

[0026] Obtain the acceleration response at the jth moment, the velocity response at the jth moment, and the displacement response at the jth moment;

[0027] Determine the seismic acceleration increment according to the seismic acceleration at the jth moment and the seismic acceleration at the j+1th moment;

[0028] determining the acceleration increment according to the seismic acceleration increment, the acceleration response at the jth moment, the velocity response at the jth moment, the natural frequency and the structural damping ratio;

[0029] Determining the velocity increment according to the acceleration increment and the acceleration response at the jth moment;

[0030] The displacement increment is determined according to the acceleration increment, the acceleration response at the jth moment and the velocity response at the jth moment.

[0031] Optionally, determining the acceleration increment according to the seismic acceleration increment, the acceleration response at the jth moment, the velocity response at the jth moment, the natural frequency and the structural damping ratio includes:

[0032] Using the formula determining the acceleration increment;

[0033] The determining the velocity increment according to the acceleration increment and the acceleration response at the jth moment includes:

[0034] Using the formula determining the initial acceleration response;

[0035] The determining the displacement increment according to the acceleration increment, the acceleration response at the jth moment and the speed response at the jth moment comprises:

[0036] Using the formula determining the initial acceleration response;

[0037] in, is the acceleration increment, is the ground acceleration increment, ξ is the structural damping ratio, ω j is the natural frequency, is the acceleration response at the jth moment, Δt is the time change from the jth moment to the j+1th moment, is the velocity response at the jth moment, α is the first preset acceleration change parameter, is the velocity increment, Δv j is the displacement increment, and β is the second preset acceleration change parameter.

[0038] Optionally, the method further comprises:

[0039] In the case of j=1, obtaining the initial speed response and initial displacement response of the electric power equipment;

[0040] Taking the initial velocity response as the velocity response at the jth moment, and taking the initial displacement response as the displacement response at the jth moment;

[0041] The acceleration response at the jth moment is determined according to the velocity response at the jth moment, the displacement response at the jth moment, the natural frequency, the structural damping ratio and the seismic acceleration at the jth moment.

[0042] Optionally, determining the acceleration response at the jth moment according to the velocity response at the jth moment, the displacement response at the jth moment, the natural frequency, the structural damping ratio and the ground motion acceleration at the jth moment includes:

[0043] Using the formula Determine the acceleration response at the jth moment;

[0044] in, is the acceleration response at the jth moment, is the ground acceleration at the jth moment, ξ is the structural damping ratio, ω j is the natural frequency, is the velocity response at the jth moment, v j is the displacement response at the jth moment.

[0045] Optionally, determining the acceleration response at the j+1th moment, the velocity response at the j+1th moment, and the displacement response at the j+1th moment according to the acceleration increment, the velocity increment, and the displacement increment comprises:

[0046] Determining the acceleration response at the j+1th moment according to the acceleration response at the jth moment and the acceleration increment;

[0047] Determine the speed response at the j+1th moment according to the speed response at the jth moment and the speed increment;

[0048] The displacement response at the j+1th moment is determined according to the displacement response at the jth moment and the displacement increment.

[0049] Optionally, obtaining the jth bending stiffness ratio of the power equipment includes:

[0050] In a preset range, the bending stiffness ratio between the crack bending stiffness and the undamaged bending stiffness of the power equipment is adjusted incrementally according to a preset step length to obtain a plurality of different bending stiffness ratios to form a bending stiffness ratio sequence;

[0051] In the bending stiffness ratio sequence, the jth bending stiffness ratio is obtained.

[0052] To achieve the above object, the present invention provides, in a second aspect, a device for determining a dynamic response characteristic of an electric power device in a damaged state, the device comprising:

[0053] An acquisition module is used to acquire the structural damping ratio and the jth bending stiffness ratio of the power equipment, as well as the externally inputted seismic acceleration at the jth moment and the j+1th moment, wherein the bending stiffness ratio is the ratio between the crack bending stiffness and the undamaged bending stiffness;

[0054] A frequency determination module, for determining a natural frequency according to the jth bending stiffness ratio;

[0055] An increment determination module, used to determine the acceleration increment, the velocity increment and the displacement increment according to the natural frequency, the structural damping ratio, the seismic acceleration at the jth moment and the seismic acceleration at the j+1th moment;

[0056] a response determination module, configured to determine an acceleration response at the j+1th moment, a velocity response at the j+1th moment, and a displacement response at the j+1th moment according to the acceleration increment, the velocity increment, and the displacement increment;

[0057] Among them, j takes integers greater than 0 in sequence until it is equal to the total number of bending stiffness ratios, so as to obtain the acceleration response, velocity response and displacement response corresponding to different bending stiffness ratios.

[0058] To achieve the above-mentioned object, the present invention provides in a third aspect a computer-readable storage medium storing a computer program, wherein when the computer program is executed by a processor, the processor executes the method as described in any one of the first aspects.

[0059] To achieve the above-mentioned purpose, the present invention provides a computer device in a fourth aspect, comprising a memory and a processor, wherein the memory stores a computer program, and when the computer program is executed by the processor, the processor executes the method as described in any one of the first aspects.

[0060] The embodiment of the present invention has the following beneficial effects: the method obtains the structural damping ratio and the jth bending stiffness ratio of the power equipment, as well as the seismic acceleration at the jth moment and the seismic acceleration at the j+1th moment input from the outside, wherein the bending stiffness ratio is the ratio between the crack bending stiffness and the undamaged bending stiffness, and then determines the natural frequency according to the jth bending stiffness ratio, and then determines the acceleration increment, velocity increment and displacement increment according to the natural frequency, the structural damping ratio, the seismic acceleration at the jth moment and the seismic acceleration at the j+1th moment, and finally determines the acceleration response at the j+1th moment, the velocity response at the j+1th moment and the displacement response at the j+1th moment according to the acceleration increment, velocity increment and displacement increment. Among them, j takes integers greater than 0 in sequence until it is equal to the total number of bending stiffness ratios, so as to obtain the acceleration response, velocity response and displacement response corresponding to different bending stiffness ratios; that is, by using different bending stiffness ratios to simulate different damage states of power equipment caused by earthquakes, and then determining the natural frequency based on the different damage states, and combining the structural damping ratio, the seismic acceleration at the jth moment of external input and the seismic acceleration at the j+1th moment to determine the dynamic response characteristics corresponding to the different damage states of power equipment caused by earthquakes, so that different equipment can be refinedly reinforced, thereby optimizing the structural layout and material selection, improving the seismic performance of the equipment, and reducing the vibration amplitude and damage degree of the equipment in the earthquake. BRIEF DESCRIPTION OF THE DRAWINGS

[0061] In order to more clearly illustrate the embodiments of the present invention or the technical solutions in the prior art, the drawings required for use in the embodiments or the description of the prior art will be briefly introduced below. Obviously, the drawings described below are only some embodiments of the present invention. For ordinary technicians in this field, other drawings can be obtained based on these drawings without paying creative work.

[0062] in:

[0063] Figure 1 A schematic diagram of a method for determining a dynamic response characteristic of an electric power device in a damaged state in an embodiment of the present application;

[0064] Figure 2 A schematic diagram of a device for determining a dynamic response characteristic of an electric power device in a damaged state in an embodiment of the present application;

[0065] Figure 3 1 is a diagram of the internal structure of a computer device in some embodiments. DETAILED DESCRIPTION

[0066] The following will be combined with the drawings in the embodiments of the present invention to clearly and completely describe the technical solutions in the embodiments of the present invention. Obviously, the described embodiments are only part of the embodiments of the present invention, not all of the embodiments. Based on the embodiments of the present invention, all other embodiments obtained by ordinary technicians in this field without creative work are within the scope of protection of the present invention.

[0067] In geographical areas where earthquakes are frequent, the safe and stable operation of power facilities is of vital importance. Traditional reinforcement measures often use a unified method to protect various types of power equipment. Although such measures have improved the seismic resistance of these equipment to a certain extent, there are still the following problems: First, the complexity and uncertainty of earthquakes lead to different stress distributions and damage modes faced by different types of power equipment during vibration. Second, the traditional unified reinforcement method fails to fully consider the differences between equipment and ignores the different damages that may be caused to specific types of power equipment. These differences mean that a simple reinforcement measure may not be able to effectively improve the seismic performance of all equipment, resulting in limited overall seismic performance.

[0068] Further research found that the dynamic response characteristics of power equipment solved under earthquake damage can be used as the basis for the reinforcement of the corresponding power equipment. By accurately analyzing the dynamic response characteristics of each type of power equipment under earthquake action (i.e., acceleration response, velocity response, and displacement response), refined reinforcement can be achieved for different equipment, thereby effectively improving the seismic performance of the equipment.

[0069] However, current technology does not yet provide a method to solve the dynamic response characteristics under earthquake damage state.

[0070] In response to the above problems, the present application proposes a method for determining the dynamic response characteristics of electrical equipment in a damaged state, so that different equipment can be reinforced in a refined manner, thereby optimizing the structural layout and material selection, improving the seismic performance of the equipment, and reducing the vibration amplitude and degree of damage of the equipment in an earthquake. The specific implementation principle will be described in detail in the following embodiments.

[0071] In a first aspect, the present application provides a method for determining dynamic response characteristics of an electric power device in a damaged state.

[0072] See also Figure 1 , is a schematic diagram of a method for determining a dynamic response characteristic of an electric power device in a damaged state in an embodiment of the present application, the method comprising:

[0073] Step 110: Obtain the structural damping ratio and the jth bending stiffness ratio of the power equipment, as well as the external input seismic acceleration at the jth moment and the j+1th moment, wherein the bending stiffness ratio is the ratio between the crack bending stiffness and the undamaged bending stiffness.

[0074] Among them, the structural damping ratio is a relative quantity that describes the speed of energy dissipation of the structure during vibration; the flexural stiffness (also called bending stiffness) refers to the ability of the structure to resist deformation when subjected to bending force, while the crack flexural stiffness refers to the ability of the power equipment to resist deformation when subjected to bending force after crack damage occurs, and the undamaged flexural stiffness refers to the ability of the power equipment to resist deformation when subjected to bending force before crack damage occurs; the seismic acceleration is the external input value corresponding to the flexural stiffness ratio, which is used to simulate the vibration acceleration of the earthquake and can be determined and pre-set by the operator based on a lot of experience, experiments or statistics.

[0075] It should be noted that after research, the present applicant found that the damage caused by earthquakes to power equipment is manifested in crack damage, and different crack damage will cause changes in the bending stiffness of the power equipment. Therefore, in order to simulate the different damage states of power equipment caused by earthquakes, the present applicant uses different bending stiffness ratios of power equipment to simulate the different damage states of power equipment caused by earthquakes.

[0076] Step 120: Determine the natural frequency according to the jth bending stiffness ratio.

[0077] Among them, the natural frequency refers to the vibration frequency of the electrical equipment.

[0078] It should be noted that the bending stiffness ratio is intended to simulate different damage states of power equipment caused by earthquakes. The natural frequencies of power equipment in different damage states are different. Therefore, in some embodiments, after obtaining the bending stiffness ratio, the relationship between the bending stiffness ratio and the natural frequency can be used to determine the natural frequency based on the bending stiffness ratio.

[0079] Step 130: Determine the acceleration increment, velocity increment and displacement increment according to the natural frequency, the structural damping ratio, the seismic acceleration at the jth moment and the seismic acceleration at the j+1th moment.

[0080] It should be noted that the natural frequency represents the vibration frequency of the power equipment, and the structural damping ratio represents the energy dissipation rate of the power equipment during the vibration process. Both of them affect the acceleration, velocity and displacement of the power equipment. Since the damage caused by an earthquake to the power equipment is simulated, the acceleration, velocity and displacement of the power equipment are also affected by the vibration acceleration of the earthquake. Therefore, in some embodiments, the natural frequency, the structural damping ratio, and the vibration acceleration between two adjacent moments of the earthquake can be combined to determine the increments of acceleration, velocity and displacement.

[0081] Step 140: Determine the acceleration response at the j+1th moment, the velocity response at the j+1th moment, and the displacement response at the j+1th moment according to the acceleration increment, the velocity increment, and the displacement increment.

[0082] Among them, j takes integers greater than 0 in sequence until it is equal to the total number of bending stiffness ratios, so as to obtain the acceleration response, velocity response and displacement response corresponding to different bending stiffness ratios.

[0083] It should be particularly noted that the method of the present application can be executed for each power equipment to obtain the acceleration response, velocity response and displacement response corresponding to different bending stiffness ratios. The different bending stiffness ratios represent different damage states of the simulated power equipment caused by earthquakes. Therefore, the acceleration response, velocity response and displacement response corresponding to the different bending stiffness ratios obtained in the present application are also the acceleration response, velocity response and displacement response under different damage states.

[0084] In an embodiment of the present application, different damage states of power equipment caused by earthquakes are simulated by using different bending stiffness ratios, and then the natural frequency is determined based on the different damage states. The dynamic response characteristics corresponding to the different damage states of the power equipment caused by earthquakes are determined in combination with the structural damping ratio and the external input seismic acceleration. This makes it possible to implement refined reinforcement for different equipment, thereby optimizing the structural layout and material selection, improving the seismic performance of the equipment, and reducing the vibration amplitude and degree of damage of the equipment in an earthquake.

[0085] In addition, the present application includes but is not limited to the following advantages: by subdividing different damage states through different bending stiffness ratios, more suitable seismic measures can be configured for each type of power equipment in a targeted manner; by accurately simulating the dynamic response characteristics under earthquake action, the vibration amplitude of the equipment during an earthquake can be effectively controlled; compared with the traditional one-size-fits-all reinforcement method, the method of the present application is more efficient and economical.

[0086] In a feasible implementation, step 120 in the above embodiment determines the natural frequency according to the jth bending stiffness ratio, including: obtaining the structural length, structural section height, structural mass and undamaged bending stiffness of the power equipment; determining the relative crack depth according to the structural length, structural section height and the jth bending stiffness ratio; determining the crack depth according to the relative crack depth and the structural section height; determining the natural frequency according to the crack depth, structural mass and undamaged bending stiffness.

[0087] Among them, the relative crack depth refers to the ratio between the crack depth and the structural section height.

[0088] It should be noted that the crack depth is the crack damage caused to the power equipment by the earthquake, and since the damage state of the power equipment caused by the earthquake will be affected by the structural length and structural section height of the power equipment, and the bending stiffness ratio simulates the damage state of the power equipment caused by the earthquake, therefore, in some embodiments, the relationship between the crack depth, structural length, structural section height and bending stiffness ratio can be used to determine the relative crack depth based on the structural length, structural section height and bending stiffness ratio.

[0089] In the embodiment of the present application, by obtaining the structural length, structural section height, structural mass and undamaged bending stiffness of the power equipment, and then determining the specific steps of the natural frequency based on these parameters, it is possible to more accurately reflect the vibration characteristics of the power equipment under different damage states, that is, the accuracy of the determination of the natural frequency can be improved, thereby providing a scientific basis for subsequent refined reinforcement and further optimizing the seismic performance of the power equipment.

[0090] In a feasible implementation, the relative crack depth is determined according to the structure length, the structure section height and the jth bending stiffness ratio in the above embodiment, including:

[0091] Using the formula Determine relative crack depth;

[0092] Among them, η j is the bending stiffness ratio at the jth moment, L is the length of the structure, π is the circumference, h is the height of the structure section, v is the Poisson's ratio, ζ j is the relative crack depth.

[0093] In the embodiments of the present application, a rigorous calculation formula for the relative crack depth is provided from a mathematical perspective. The accuracy of the calculated relative crack depth can be ensured from the rigor of mathematical logic, and the above calculation formula is preferably shown to provide reference, understanding and calculation for technical personnel.

[0094] In addition, by adopting the above-mentioned relative crack depth calculation formula preferably provided in the present application to determine the relative crack depth, the vibration characteristics of the power equipment under different damage states can be more accurately reflected, thereby improving the accuracy of the natural frequency determination.

[0095] It can be understood that the use of the calculation formula provided in this application can make the calculation process more scientific and systematic, and can more accurately predict the vibration frequency of power equipment when it is subjected to different damage states, providing more reliable data support for subsequent refined reinforcement measures, and further optimizing the seismic performance of power equipment.

[0096] In a feasible implementation, the method of determining the crack depth according to the relative crack depth and the structural cross-sectional height in the above embodiment includes:

[0097] Using formula a j =ζ j h determines the crack depth;

[0098] In the above embodiment, the natural frequency is determined according to the crack depth, the structural quality and the undamaged bending stiffness, including:

[0099] Using the formula Determine the natural frequency;

[0100] Among them, a j is the crack depth, ζ j is the relative crack depth, h is the structural section height, ω j is the natural frequency, EI is the undamaged bending stiffness, and m is the structural mass.

[0101] In the embodiments of the present application, a rigorous calculation formula for crack depth and natural frequency is provided from a mathematical perspective. The accuracy of the calculated crack depth and natural frequency can be ensured from the rigor of mathematical logic, and the above calculation formula is preferably shown to provide reference, understanding and calculation for technical personnel.

[0102] In addition, by using the calculation formula for crack depth and natural frequency preferably provided in the above-mentioned application to determine the crack depth and natural frequency, the vibration characteristics of the power equipment under different damage states can be more accurately reflected, thereby improving the accuracy of the determination of the natural frequency.

[0103] In a feasible implementation, step 130 in the above embodiment determines the acceleration increment, velocity increment and displacement increment according to the natural frequency, the structural damping ratio, the seismic acceleration at the jth moment and the seismic acceleration at the j+1th moment, including: obtaining the acceleration response at the jth moment, the velocity response at the jth moment and the displacement response at the jth moment; determining the seismic acceleration increment according to the seismic acceleration at the jth moment and the seismic acceleration at the j+1th moment; determining the acceleration increment according to the seismic acceleration increment, the acceleration response at the jth moment, the velocity response at the jth moment, the natural frequency and the structural damping ratio; determining the velocity increment according to the acceleration increment and the acceleration response at the jth moment; determining the displacement increment according to the acceleration increment, the acceleration response at the jth moment and the velocity response at the jth moment.

[0104] In an embodiment of the present application, by introducing the acceleration response at the jth moment, the velocity response at the jth moment and the displacement response at the jth moment, and combining the natural frequency, the structural damping ratio, the seismic acceleration at the jth moment and the seismic acceleration at the j+1th moment, precise calculations and reasonable step arrangements are used to calculate the acceleration increment, velocity increment and displacement increment, which can ensure that the dynamic response characteristics of the power equipment are determined more accurately, thereby improving its seismic reinforcement effect.

[0105] In a feasible implementation, the acceleration increment is determined according to the ground motion acceleration increment, the acceleration response at the jth moment, the velocity response at the jth moment, the natural frequency and the structural damping ratio in the above embodiment, including:

[0106] Using the formula determining the acceleration increment;

[0107] In the above embodiment, determining the velocity increment according to the acceleration increment and the acceleration response at the jth moment includes:

[0108] Using the formula Determine the initial acceleration response;

[0109] In the above embodiment, determining the displacement increment according to the acceleration increment, the acceleration response at the jth moment and the velocity response at the jth moment includes:

[0110] Using the formula Determine the initial acceleration response;

[0111] in, is the acceleration increment, is the ground acceleration increment, ξ is the structural damping ratio, ω j is the natural frequency, is the acceleration response at the jth moment, Δt is the time change from the jth moment to the j+1th moment, is the velocity response at the jth moment, α is the first preset acceleration change parameter, is the velocity increment, Δv j is the displacement increment, and β is the second preset acceleration change parameter.

[0112] It should be noted that the first preset acceleration change parameter and the second preset acceleration change parameter can be obtained and pre-set by the operator based on a large amount of experience, experiments or statistics.

[0113] In some embodiments, the present application may preferably set the first preset acceleration change parameter to Set the second preset acceleration change parameter to or

[0114] In the embodiments of the present application, rigorous calculation formulas for acceleration increments, velocity increments and displacement increments are provided from a mathematical perspective. The accuracy of the calculated acceleration increments, velocity increments and displacement increments can be ensured from the rigor of mathematical logic, and the above-mentioned calculation formulas are preferably shown to provide reference, understanding and calculation for technical personnel.

[0115] In addition, by adopting the calculation formulas for acceleration increment, velocity increment and displacement increment preferably provided in the above-mentioned application to determine the acceleration increment, velocity increment and displacement increment, more accurate dynamic response characteristics can be obtained, thereby guiding more efficient and refined reinforcement, optimizing the structural layout and material selection of power equipment, and enhancing the seismic performance of the equipment.

[0116] Furthermore, the formulas provided in this application indirectly help to ensure that power equipment can more effectively resist vibration and potential damage in more complex earthquake environments.

[0117] In a feasible implementation, the method in the above embodiment also includes: when j=1, obtaining the initial velocity response and initial displacement response of the power equipment; using the initial velocity response as the velocity response at the jth moment, and using the initial displacement response as the displacement response at the jth moment; determining the acceleration response at the jth moment based on the velocity response at the jth moment, the displacement response at the jth moment, the natural frequency, the structural damping ratio and the seismic acceleration at the jth moment.

[0118] It should be noted that, since the electric device is still in a stationary state in the initial state, in some embodiments, the initial velocity response and the initial displacement response are both zero.

[0119] In the embodiment of the present application, by introducing the data of the initial state, it is possible to ensure that the program can use reasonable and accurate initial data at the beginning stage to improve the overall accuracy and reliability of the algorithm, and further can better support the precise implementation of subsequent complex steps (such as calculating acceleration increments, velocity increments and displacement increments).

[0120] In a feasible implementation, the above embodiment determines the acceleration response at the jth moment according to the velocity response at the jth moment, the displacement response at the jth moment, the natural frequency, the structural damping ratio and the ground motion acceleration at the jth moment, including:

[0121] Using the formula Determine the acceleration response at the jth moment;

[0122] in, is the acceleration response at the jth moment, is the ground acceleration at the jth moment, ξ is the structural damping ratio, ωj is the natural frequency, is the velocity response at the jth moment, v j is the displacement response at the jth moment.

[0123] In the embodiments of the present application, a rigorous calculation formula for the initial acceleration response is provided from a mathematical perspective. The accuracy of the calculated initial acceleration response can be ensured from the rigor of mathematical logic, and the above calculation formula is preferably shown to provide reference, understanding and calculation for technical personnel.

[0124] In addition, by adopting the calculation formula of the initial acceleration response preferably provided in the above-mentioned application to determine the initial acceleration response, the data accuracy of the algorithm is ensured, thereby providing a reliable basis for the subsequent periodic dynamic response characteristic determination and refined reinforcement measures, and further optimizing the seismic performance of the power equipment.

[0125] In a feasible implementation, step 140 in the above embodiment determines the acceleration response at the j+1th moment, the velocity response at the j+1th moment and the displacement response at the j+1th moment based on the acceleration increment, the velocity increment and the displacement increment, including: determining the acceleration response at the j+1th moment based on the acceleration response and the acceleration increment at the jth moment; determining the velocity response at the j+1th moment based on the velocity response and the velocity increment at the jth moment; determining the displacement response at the j+1th moment based on the displacement response and the displacement increment at the jth moment.

[0126] In the embodiment of the present application, by introducing the acceleration response, velocity response and displacement response of the previous moment, not only the continuity in the time series is ensured (i.e., the change from the jth moment to the j+1th moment), but also the coordination between each response parameter (acceleration response, velocity response and displacement response) can be maintained, which can ensure the accurate calculation of the dynamic response characteristics of the entire power equipment, thereby improving the overall accuracy.

[0127] In a feasible implementation, step 110 in the above embodiment, obtaining the j-th bending stiffness ratio of the power equipment, includes: within a preset range, incrementally adjusting the bending stiffness ratio between the crack bending stiffness and the undamaged bending stiffness of the power equipment according to a preset step size to obtain a plurality of different bending stiffness ratios forming a bending stiffness ratio sequence; in the bending stiffness ratio sequence, obtaining the j-th bending stiffness ratio.

[0128] The preset range and the preset step size can be obtained and preset by the operator based on a large amount of experience, experiments or statistics.

[0129] In some embodiments, the present application may preferably set the preset range to [0, 1] or [0.2, 1].

[0130] In an embodiment of the present application, by adjusting the ratio of crack bending stiffness to undamaged bending stiffness within a preset range and at a preset step size, a more detailed damage state of power equipment can be simulated, making the simulation results closer to the actual situation.

[0131] In addition, this method can ensure that the bending stiffness ratio of the power equipment changes continuously under different damage states, which is conducive to better revealing the dynamic response characteristics of the equipment when the degree of damage changes, and providing support for subsequent analysis and reinforcement measures.

[0132] Understandably, continuous data is easier to analyze.

[0133] In a second aspect, the present application provides a device for determining dynamic response characteristics of an electric power device in a damaged state.

[0134] See also Figure 2 , is a schematic diagram of a device for determining a dynamic response characteristic of an electric power device in a damaged state in an embodiment of the present application, the device 210 includes:

[0135] The acquisition module 211 is used to acquire the structural damping ratio and the j-th bending stiffness ratio of the power equipment, as well as the externally inputted ground motion acceleration at the j-th moment and the ground motion acceleration at the j+1-th moment, wherein the bending stiffness ratio is the ratio between the crack bending stiffness and the undamaged bending stiffness;

[0136] A frequency determination module 212, configured to determine a natural frequency according to the j-th bending stiffness ratio;

[0137] An increment determination module 213 is used to determine the acceleration increment, the velocity increment and the displacement increment according to the natural frequency, the structural damping ratio, the seismic acceleration at the jth moment and the seismic acceleration at the j+1th moment;

[0138] A response determination module 214, for determining an acceleration response at the j+1th moment, a velocity response at the j+1th moment, and a displacement response at the j+1th moment according to the acceleration increment, the velocity increment, and the displacement increment;

[0139] Among them, j takes integers greater than 0 in sequence until it is equal to the total number of bending stiffness ratios, so as to obtain the acceleration response, velocity response and displacement response corresponding to different bending stiffness ratios.

[0140] In the embodiment of the present application, the relevant contents of the acquisition module 211, the frequency determination module 212, the increment determination module 213 and the response determination module 214 can be referred to in Figure 1 The contents in the illustrated embodiment will not be described in detail here.

[0141] It should be noted that the device 210 of the present application also includes some other modules. It can be understood that the method of the present application and the device 210 have a one-to-one correspondence. Therefore, some other modules of the device 210 of the present application are the contents corresponding to the method of the present application in the above-mentioned embodiment.

[0142] In an embodiment of the present application, different damage states of power equipment caused by earthquakes are simulated by using different bending stiffness ratios, and then the natural frequency is determined based on the different damage states. The dynamic response characteristics corresponding to the different damage states of the power equipment caused by earthquakes are determined in combination with the structural damping ratio and the external input seismic acceleration. This makes it possible to implement refined reinforcement for different equipment, thereby optimizing the structural layout and material selection, improving the seismic performance of the equipment, and reducing the vibration amplitude and degree of damage of the equipment in an earthquake.

[0143] In addition, the present application includes but is not limited to the following advantages: by subdividing different damage states through different bending stiffness ratios, more suitable seismic measures can be configured for each type of power equipment in a targeted manner; by accurately simulating the dynamic response characteristics under earthquake action, the vibration amplitude of the equipment during an earthquake can be effectively controlled; compared with the traditional one-size-fits-all reinforcement method, the method of the present application is more efficient and economical.

[0144] In a third aspect, the present application further provides a computer-readable storage medium storing a computer program. When the computer program is executed by a processor, the processor executes a method for determining a dynamic response characteristic of an electric power device in a damaged state in the above method embodiment.

[0145] In a fourth aspect, the present application further provides a computer device, including a memory and a processor, wherein the memory stores a computer program, and when the computer program is executed by the processor, the processor executes a method for determining a dynamic response characteristic of an electric power device in a damaged state in the above-mentioned method embodiment.

[0146] Figure 3 The internal structure diagram of a computer device in some embodiments is shown. The computer device may be a terminal, a server, or a gateway. Figure 3 As shown, the computer device includes a processor, a memory and a network interface connected through a system bus.

[0147] The memory includes a non-volatile storage medium and an internal memory. The non-volatile storage medium of the computer device stores an operating system and may also store a computer program. When the computer program is executed by the processor, the processor can implement each step in the above method embodiment. The internal memory may also store a computer program. When the computer program is executed by the processor, the processor can implement each step in the above method embodiment. Those skilled in the art can understand that Figure 3 The structure shown in the figure is only a block diagram of a part of the structure related to the solution of the present application, and does not constitute a limitation on the computer device to which the solution of the present application is applied. The specific computer device may include more or fewer components than those shown in the figure, or combine certain components, or have a different arrangement of components.

[0148] A person skilled in the art can understand that all or part of the processes in the above-mentioned embodiment methods can be implemented by instructing related hardware through a computer program. The program can be stored in a non-volatile computer-readable storage medium. When the program is executed, it can include the processes of the embodiments of the above-mentioned methods.

[0149] Among them, any reference to memory, storage, database or other media used in the embodiments provided in the present application may include non-volatile and / or volatile memory. Non-volatile memory may include read-only memory (ROM), programmable ROM (PROM), electrically programmable ROM (EPROM), electrically erasable programmable ROM (EEPROM) or flash memory. Volatile memory may include random access memory (RAM) or external cache memory. As an illustration and not limitation, RAM is available in various forms, such as static RAM (SRAM), dynamic RAM (DRAM), synchronous DRAM (SDRAM), double data rate SDRAM (DDRSDRAM), enhanced SDRAM (ESDRAM), synchronous link (Synch li nk) DRAM (SLDRAM), memory bus (Rambus) direct RAM (RDRAM), direct memory bus dynamic RAM (DRDRAM), and memory bus dynamic RAM (RDRAM).

[0150] The technical features of the above embodiments may be combined arbitrarily. To make the description concise, not all possible combinations of the technical features in the above embodiments are described. However, as long as there is no contradiction in the combination of these technical features, they should be considered to be within the scope of this specification.

[0151] The above-mentioned embodiments only express several implementation methods of the present application, and the descriptions thereof are relatively specific and detailed, but they cannot be understood as limiting the scope of the present application. It should be pointed out that, for a person of ordinary skill in the art, several variations and improvements can be made without departing from the concept of the present application, and these all belong to the protection scope of the present application. Therefore, the protection scope of the present application shall be subject to the attached claims.

Claims

1. A method for determining the dynamic response characteristics of an electric power device in a damaged state, characterized in that: The method comprises: Obtain the structural damping ratio and the jth bending stiffness ratio of the power equipment, as well as the external input ground motion acceleration at the jth moment and the ground motion acceleration at the j+1th moment, wherein the bending stiffness ratio is the ratio between the crack bending stiffness and the undamaged bending stiffness; Determine the natural frequency according to the jth bending stiffness ratio; Determining an acceleration increment, a velocity increment, and a displacement increment according to the natural frequency, the structural damping ratio, the seismic acceleration at the jth moment, and the seismic acceleration at the j+1th moment; Determine the acceleration response at the j+1th moment, the velocity response at the j+1th moment, and the displacement response at the j+1th moment according to the acceleration increment, the velocity increment, and the displacement increment; Among them, j takes integers greater than 0 in sequence until it is equal to the total number of bending stiffness ratios, so as to obtain the acceleration response, velocity response and displacement response corresponding to different bending stiffness ratios.

2. The method according to claim 1, characterized in that The determining of the natural frequency according to the j-th bending stiffness ratio comprises: Obtaining the structural length, structural section height, structural mass and undamaged bending stiffness of the power equipment; determining a relative crack depth based on the structure length, the structure cross-sectional height, and the jth bending stiffness ratio; determining a crack depth according to the relative crack depth and the structural cross-sectional height; The natural frequency is determined based on the crack depth, the structural mass and the undamaged bending stiffness.

3. The method according to claim 2, characterized in that Determining the relative crack depth according to the structure length, the structure cross-section height and the jth bending stiffness ratio comprises: Using the formula determining the relative crack depth; Among them, η j is the bending stiffness ratio at the jth moment, L is the length of the structure, π is the circumference, h is the height of the structure section, v is the Poisson's ratio, ζ j is the relative crack depth.

4. The method according to claim 2, characterized in that: Determining the crack depth according to the relative crack depth and the structural cross-sectional height includes: Using formula a j =ζ j h determines the crack depth; The determining the natural frequency according to the crack depth, the structural mass and the undamaged bending stiffness comprises: Using the formula determining the natural frequency; Among them, a j is the crack depth, ζ j is the relative crack depth, h is the structural section height, ω j is the natural frequency, EI is the undamaged bending stiffness, and m is the structural mass.

5. The method according to claim 1, characterized in that The step of determining the acceleration increment, the velocity increment and the displacement increment according to the natural frequency, the structural damping ratio, the seismic acceleration at the jth moment and the seismic acceleration at the j+1th moment comprises: Obtain the acceleration response at the jth moment, the velocity response at the jth moment, and the displacement response at the jth moment; Determine the seismic acceleration increment according to the seismic acceleration at the jth moment and the seismic acceleration at the j+1th moment; determining the acceleration increment according to the seismic acceleration increment, the acceleration response at the jth moment, the velocity response at the jth moment, the natural frequency and the structural damping ratio; Determining the velocity increment according to the acceleration increment and the acceleration response at the jth moment; The displacement increment is determined according to the acceleration increment, the acceleration response at the jth moment and the velocity response at the jth moment.

6. The method according to claim 5, characterized in that The step of determining the acceleration increment according to the seismic acceleration increment, the acceleration response at the jth moment, the velocity response at the jth moment, the natural frequency and the structural damping ratio comprises: Using the formula determining the acceleration increment; The determining the velocity increment according to the acceleration increment and the acceleration response at the jth moment includes: Using the formula determining the initial acceleration response; The determining the displacement increment according to the acceleration increment, the acceleration response at the jth moment and the speed response at the jth moment comprises: Using the formula determining the initial acceleration response; in, is the acceleration increment, is the ground acceleration increment, ξ is the structural damping ratio, ω j is the natural frequency, is the acceleration response at the jth moment, Δt is the time change from the jth moment to the j+1th moment, is the velocity response at the jth moment, α is the first preset acceleration change parameter, is the velocity increment, Δv j is the displacement increment, and β is the second preset acceleration change parameter.

7. The method according to claim 5, characterized in that The method further comprises: In the case of j=1, obtaining the initial speed response and initial displacement response of the electric device; Taking the initial velocity response as the velocity response at the jth moment, and taking the initial displacement response as the displacement response at the jth moment; The acceleration response at the jth moment is determined according to the velocity response at the jth moment, the displacement response at the jth moment, the natural frequency, the structural damping ratio and the seismic acceleration at the jth moment.

8. The method according to claim 7, characterized in that Determining the acceleration response at the jth moment according to the velocity response at the jth moment, the displacement response at the jth moment, the natural frequency, the structural damping ratio and the ground motion acceleration at the jth moment comprises: Using the formula Determine the acceleration response at the jth moment; in, is the acceleration response at the jth moment, is the ground acceleration at the jth moment, ξ is the structural damping ratio, ω j is the natural frequency, is the velocity response at the jth moment, v j is the displacement response at the jth moment.

9. The method according to claim 4, characterized in that The step of determining the acceleration response at the j+1th moment, the velocity response at the j+1th moment, and the displacement response at the j+1th moment according to the acceleration increment, the velocity increment, and the displacement increment comprises: Determining the acceleration response at the j+1th moment according to the acceleration response at the jth moment and the acceleration increment; Determine the speed response at the j+1th moment according to the speed response at the jth moment and the speed increment; The displacement response at the j+1th moment is determined according to the displacement response at the jth moment and the displacement increment.

10. The method according to claim 1, characterized in that Obtain the jth bending stiffness ratio of the power equipment, including: In a preset range, the bending stiffness ratio between the crack bending stiffness and the undamaged bending stiffness of the power equipment is adjusted incrementally according to a preset step length to obtain a plurality of different bending stiffness ratios to form a bending stiffness ratio sequence; In the bending stiffness ratio sequence, the jth bending stiffness ratio is obtained.

Citation Information

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