Anti-seismic calculation method and device for post insulator of multi-coil reactor

Abstract

The invention discloses an anti-seismic calculation method and device for a post insulator of a multi-coil reactor. The method comprises the following steps: acquiring parameter information about the reactor and parameter information about the post insulator; according to the parameter information of the electric reactor, generating a quality matrix by calculating the coil quality of the electric reactor coil; calculating the lateral stiffness of the reactor coil according to the parameter information of the post insulator, and generating a stiffness matrix; and according to the mass matrix and the stiffness matrix, the bending resistance of the post insulator is calculated through the model of the multi-degree-of-freedom damping-free vibration system and the anti-seismic parameters. According to the technical scheme provided by the invention, the bending resistance loaded to the post insulator is calculated by calculating the mass matrix and the stiffness matrix and combining the model of the multi-degree-of-freedom damping-free vibration system and the anti-seismic parameters, so that the computer-aided design is simplified, the time and economic cost are saved, and the working efficiency is improved. And the overall research and development work of the reactor is ensured.

Description

Technical Field

[0001] The invention relates to a seismic calculation method and a device for a multi-coil reactor support insulator, belonging to the technical field of reactors. Background Art

[0002] In order to solve the problem of excessive size and space occupation caused by ensuring sufficient inductance when multiple dry air reactors are used in series, existing dry air reactors (hereinafter referred to as "reactors") are often designed as pancake coils, connected in series in a specific unit combination. The bottom is supported by multiple post insulators, and the center of gravity of the overall structure of the reactor is relatively high. When an earthquake occurs and the frequency is close to that of the above-mentioned overall structure, it will cause resonance and cause damage to the overall structure, mainly the post insulators.

[0003] At present, this problem is mainly addressed in the design phase, using computer-aided design for modeling and related structural seismic calculations; however, due to the huge amount of calculation required by computer-aided design, it will increase the time and economic costs during the calculation process, thus affecting the overall research and development of the reactor. Summary of the invention

[0004] In order to solve the problems existing in the above-mentioned prior art, the present invention proposes a seismic calculation method and device for a multi-coil reactor post insulator, which can reduce the time cost and economic cost in the computer-aided design process.

[0005] In order to achieve the above object, the present invention provides, on one hand, a seismic calculation method for a multi-coil reactor post insulator, comprising: Obtaining information about reactor parameters and support insulator parameters; According to the reactor parameter information, a mass matrix is ​​generated by calculating the coil mass of the reactor coil; According to the parameter information of the post insulator, the lateral stiffness of the reactor coil is calculated and the stiffness matrix is ​​generated. According to the mass matrix and the stiffness matrix, the bending force of the post insulator is calculated through the model of the multi-degree-of-freedom undamped vibration system and the seismic parameters.

[0006] Furthermore, the reactor parameter information includes the number, quality information and height position information of the reactor coils; The parameter information of the post insulator includes the structural information and quantity information of the post insulator.

[0007] Furthermore, the lateral stiffness of the reactor coil is calculated, specifically including: According to the parameter information of the post insulator, a beam unit model of the post insulator is established; Based on the beam element model, the deflection equation of the cantilever beam with concentrated load applied to the end is derived; Calculate the unilateral displacement stiffness of a single coil in the reactor coil according to the deflection equation; The total lateral stiffness is calculated based on multiple single lateral stiffnesses by adding them in series.

[0008] Furthermore, the seismic parameters include earthquake response spectrum, system damping ratio, and site characteristic period.

[0009] Furthermore, the bending resistance of the post insulator is calculated, including: Calculate the horizontal force on the reactor coil based on the model of the multi-degree-of-freedom undamped vibration system and seismic parameters; The horizontal forces of all reactor coils are superimposed and calculated to obtain the bending force of the support insulator.

[0010] In a second aspect, the present invention further provides a seismic device for a multi-coil reactor post insulator, which is applied to the seismic calculation method provided in the first aspect, comprising: An information acquisition module is used to acquire information about reactor parameters and support insulator parameters; A mass matrix generation module, used for generating a mass matrix by calculating the coil mass of the reactor coil according to the reactor parameter information; A stiffness matrix generation module is used to calculate the lateral stiffness of the reactor coil according to the support insulator parameter information and generate a stiffness matrix; The bending force calculation module is used to calculate the bending force of the post insulator according to the mass matrix and the stiffness matrix, through the model of the multi-degree-of-freedom undamped vibration system and the seismic parameters.

[0011] Furthermore, the reactor parameter information includes the number, quality information and height position information of the reactor coils; The parameter information of the post insulator includes the structural information and quantity information of the post insulator.

[0012] Further, the stiffness matrix generation module is configured to perform the following operations: According to the parameter information of the post insulator, a beam unit model of the post insulator is established; Based on the beam unit model, the deflection equation of the cantilever beam under the condition of concentrated load on the end is derived. Calculate the unilateral displacement stiffness of a single coil in the reactor coil according to the deflection equation; The total lateral stiffness is calculated based on multiple single lateral stiffnesses by adding them in series.

[0013] By adopting the above-mentioned technical scheme, an embodiment of the present invention provides a seismic calculation method and device for multi-coil reactor post insulators, which calculates the mass matrix and the stiffness matrix respectively, and obtains the horizontal force loaded on each reactor coil by combining the model of the multi-degree-of-freedom undamped vibration system and the seismic parameters, and then calculates the horizontal force applied to each post insulator, that is, the required bending force, thereby simplifying the computer-aided design, saving time and economic costs, and ensuring the overall research and development of the reactor. BRIEF DESCRIPTION OF THE DRAWINGS

[0014] Figure 1 A flow chart of a seismic calculation method for a multi-coil reactor post insulator provided by the present invention; Figure 2 A flow chart for calculating the total lateral displacement stiffness in a seismic calculation method for a multi-coil reactor post insulator provided by the present invention; Figure 3 A flow chart for calculating the bending force of a post insulator in a seismic calculation method for a post insulator of a multi-coil reactor provided by the present invention; Figure 4 A structural principle diagram of a seismic device for a multi-coil reactor post insulator provided by the present invention; Figure 5 A schematic diagram of a beam unit model in a seismic calculation method for a multi-coil reactor post insulator provided by the present invention; Figure 6 A schematic diagram of the structure of a multi-coil reactor provided by the present invention; Figure 7 A mass matrix in an example of a seismic calculation method for a multi-coil reactor post insulator provided by the present invention; Figure 8 A stiffness matrix in an example of a seismic calculation method for a multi-coil reactor post insulator provided by the present invention. DETAILED DESCRIPTION

[0015] The present invention is further described in detail below through the accompanying drawings and specific implementation methods. The bottom of the existing dry-type air-core reactor is supported by multiple post insulators, and the center of gravity of the overall structure of the reactor is relatively high. When an earthquake occurs and the frequency is close to that of the above-mentioned overall structure, it will cause resonance and thus damage the overall structure, mainly the post insulators, and the use of computer-aided design will increase the time cost and economic cost.

[0016] Embodiment 1 like Figures 1 to 3 As shown, the present invention provides a seismic calculation method for a multi-coil reactor post insulator, comprising: S10: Acquire parameter information about the reactor and the support insulator; wherein the parameter information of the reactor includes the number, quality information and height position information of the reactor coils; the reactor includes a plurality of reactor coils arranged in a vertical linear array; The parameter information of the post insulator includes the structural information and quantity information of the post insulator. The structural information includes the rod diameter, height, density and mechanical performance parameters (elastic modulus E, moment of inertia I, etc.). The post insulator is a composite material and is arranged in a ring array along the installation node diameter of the reactor coil.

[0017] S20: Generate a mass matrix by calculating the coil mass of the reactor coil according to the reactor parameter information; the generated mass matrix is: (1) Where m is the mass of each coil.

[0018] S30: Calculate the lateral stiffness of the reactor coil according to the support insulator parameter information and generate a stiffness matrix; wherein the lateral stiffness of the reactor coil is calculated, such as Figure 5 As shown, specifically including: S31: establishing a beam unit model of the post insulator according to the post insulator parameter information; S32: Based on the beam unit model, the deflection equation of the cantilever beam under the condition of concentrated load on the end is derived, such as Figure 5 As shown, according to the model of cantilever beam with concentrated load on the end, the relationship between deflection y and concentrated load F on the end is calculated as follows: (2) in, E is the elastic modulus, I is the moment of inertia of the cantilever beam section; y is the deflection value of the cantilever beam end, x is the length value of each point of the cantilever beam (0≤x≤L), L is the length of the cantilever beam; After integrating formula (2), we get the second relationship: (3) in, is the constant term obtained after integration; F is the concentrated force applied to the end of the cantilever beam; Considering x = L The displacement angle at is 0, that is, x = L hour, dy / dx =0, we get ; Bundle Substituting into formula (3), integrating again yields: (4) Considering that point B does not produce any displacement under the concentrated load, that is, x= L At y=0, we can obtain: (5) in is the constant term obtained after integration.

[0019] S33: Calculate the single lateral displacement stiffness of a single coil in the reactor coil according to the deflection equation; in the specific application process, take the reciprocal of the end deflection value under the unit force as the stiffness value of the single lateral displacement stiffness of a single beam unit, that is: (6) in, k is the lateral stiffness of a single beam element, that is, the single lateral stiffness.

[0020] S34: Calculate the total lateral stiffness according to the multiple single lateral stiffnesses by adding them in series. The specific calculation method is as follows: (7) Where r is the number of post insulators in the annular array.

[0021] After the total lateral stiffness is calculated, the above stiffness matrix can be expressed as: (8) in, is the total lateral stiffness of each coil, K 1 corresponds to the total lateral stiffness of the bottom coil of the reactor, K n The total lateral stiffness corresponding to the top coil of the reactor, where n is the number of coils.

[0022] S40: According to the mass matrix and the stiffness matrix, the bending force of the post insulator is calculated through the model of the multi-degree-of-freedom undamped vibration system and the seismic parameters. The seismic parameters include: seismic parameters include earthquake response spectrum, system damping ratio, and site characteristic period. The steps of calculating the above bending force specifically include: S41: Calculate the horizontal force of the post insulator based on the model of the multi-degree-of-freedom undamped vibration system and the seismic parameters; the model equation of the multi-degree-of-freedom undamped vibration system is: (9) Among them, M ’ is the mass matrix composed of multiple coils; K ’ is the stiffness matrix composed of multiple coil support systems; is the acceleration column vector of each coil; Y is the displacement column vector of each coil; The corresponding frequency equation is: (10) in, represent The determinant of ; is the natural frequency variable corresponding to each coil.

[0023] Expand the frequency of the above formula to get The nth-order algebraic equation is solved to obtain n positive real roots

[0024] Based on the first-order frequency , solve for the natural oscillation period: (11) Further, according to the natural vibration period and the seismic response spectrum included in the seismic parameters, the acceleration value corresponding to the natural vibration period is determined. .

[0025] Total horizontal seismic force on the supporting insulators of each coil of the reactor F for (12) in, is the acceleration value corresponding to the natural vibration period; m is the mass of each coil; g is the acceleration due to gravity; S42: All horizontal forces are superimposed and calculated to obtain the bending force of the support insulator. It should be noted here that the fundamental frequency of existing dry-type air-core reactors is generally less than 33Hz. The vibration mode decomposition response spectrum method is usually used for seismic verification in seismic design, and the first two modes of dry-type air-core reactors (the structure moves horizontally) play a leading role; therefore, based on the structural translation mode vibration mode, the root of the support column insulator is subjected to the greatest force (this is because when subjected to horizontal forces, the reactor coil undergoes horizontal displacement as a whole, and the displacement at the top is the largest), and the required bending force can be approximately calculated as: (13) in, n is the number of coils; F is the total horizontal seismic force on each coil support insulator; r is the number of post insulators in the annular array; The specific calculation process is as follows: Figures 6 to 8As shown: The reactor consists of 12 coils, each with a mass of 3900 kg. The parameter information of the post insulator is shown in Table 1: Table 1 Composite post insulator parameters According to the site characteristic period of seismic parameters Take 0.45s, the structural damping ratio 5%, the basic acceleration of the design earthquake is 0.3g (g=9.8m / s²), and the horizontal seismic spectrum parameters are: 1. When hour: ; when hour: ; when hour: ; when hour: in, is the maximum value of the earthquake influence coefficient; is the decay index; is the downward slope adjustment coefficient of the straight line downward segment; is the damping adjustment coefficient; Generate the corresponding mass matrix and stiffness matrix as follows Figure 7 and Figure 8 shown.

[0026] Then, the natural vibration period of the overall structure of the multi-coil reactor is calculated through the model of the multi-degree-of-freedom undamped vibration system, and the Det function is used to solve ,get =0.573s.

[0027] Calculate the horizontal earthquake acceleration spectrum and determine the acceleration value corresponding to the natural vibration period =0.603g, the bending force required for each root post insulator is 23.07kN, so in practice, the selection of 24kN post insulators can meet the seismic strength requirements.

[0028] An embodiment of the present invention provides a seismic calculation method for a multi-coil reactor post insulator, which calculates the mass matrix and the stiffness matrix, and obtains the horizontal force loaded on each reactor coil by combining the model of a multi-degree-of-freedom undamped vibration system and seismic parameters, and then calculates the horizontal force applied to each post insulator, that is, the required bending force, thereby simplifying computer-aided design, saving time and economic costs, and ensuring the overall research and development of the reactor.

[0029] Embodiment 2 The embodiment of the present invention provides an anti-seismic device for a multi-coil reactor post insulator based on the embodiment 1, and the detection device for metal internal and external defects provided by the above embodiment is applied, such as Figure 4 As shown, including: The information acquisition module 01 is used to acquire the parameter information of the reactor and the parameter information of the support insulator; the parameter information of the reactor includes the quantity, quality information and height position information of the reactor coil; The post insulator parameter information includes structural information and quantity information of the post insulator.

[0030] The mass matrix generating module 02 is used to generate a mass matrix by calculating the coil mass of the reactor coil according to the reactor parameter information; The stiffness matrix generation module 03 is used to calculate the lateral stiffness of the reactor coil according to the support insulator parameter information and generate a stiffness matrix; the matrix generation module is configured to perform the following operations: According to the parameter information of the post insulator, a beam unit model of the post insulator is established; Based on the beam unit model, the deflection equation of the cantilever beam under the condition of concentrated load on the end is derived. Calculating the single displacement stiffness of a single coil in the reactor coil according to the deflection equation; The total lateral stiffness is calculated according to the plurality of single lateral stiffnesses by a serial accumulation method.

[0031] The bending force calculation module 04 is used to calculate the bending force of the post insulator according to the mass matrix and the stiffness matrix, through the model of the multi-degree-of-freedom undamped vibration system and the seismic parameters. The bending force calculation module is configured to perform the following operations: Calculating the horizontal force of the post insulator according to the model of the multi-degree-of-freedom undamped vibration system and the seismic parameters; All the horizontal forces are superimposed and calculated to obtain the bending resistance of the post insulator.

[0032] An anti-seismic device for a multi-coil reactor post insulator provided in an embodiment of the present invention adopts the same technical concept and technical means as the aforementioned anti-seismic calculation method for a multi-coil reactor post insulator, achieves the same technical effect, and will not be repeated here.

[0033] Obviously, the above embodiments are only examples for clear explanation, and are not intended to limit the implementation methods. For ordinary technicians in the relevant field, other different forms of changes or modifications can be made based on the above description. It is not necessary and impossible to list all the implementation methods here. The obvious changes or modifications derived from them are still within the protection scope of the invention.

Claims

1. A seismic calculation method for multi-coil reactor post insulators, characterized in that: include: Obtaining information about reactor parameters and support insulator parameters; Generate a mass matrix by calculating the coil mass of the reactor coil according to the reactor parameter information; Calculating the lateral stiffness of the reactor coil according to the support insulator parameter information and generating a stiffness matrix; According to the mass matrix and the stiffness matrix, the bending resistance of the post insulator is calculated through the model of the multi-degree-of-freedom undamped vibration system and the seismic parameters.

2. The seismic calculation method for multi-coil reactor post insulators according to claim 1, characterized in that: The reactor parameter information includes the quantity, quality information and height position information of the reactor coils; The post insulator parameter information includes structural information and quantity information of the post insulator.

3. The seismic calculation method for multi-coil reactor post insulators according to claim 2, characterized in that: The calculation of the lateral stiffness of the reactor coil specifically includes: According to the parameter information of the post insulator, a beam unit model of the post insulator is established; Based on the beam unit model, the deflection equation is derived when a concentrated load is applied to the end of the cantilever beam; Calculating the single displacement stiffness of a single coil in the reactor coil according to the deflection equation; The total lateral stiffness is calculated according to the plurality of single lateral stiffnesses by a serial accumulation method.

4. The seismic calculation method for multi-coil reactor post insulator according to claim 1, characterized in that: The seismic parameters include earthquake response spectrum, system damping ratio, and site characteristic period.

5. The seismic calculation method for multi-coil reactor post insulator according to claim 1, characterized in that: The calculation to obtain the bending resistance of the post insulator specifically includes: Calculating the horizontal force of the reactor coil according to the model of the multi-degree-of-freedom undamped vibration system and the seismic parameters; The horizontal forces of all the reactor coils are superimposed and calculated to obtain the bending force of the post insulator.

6. A seismic device for a multi-coil reactor post insulator, applied to the seismic calculation method according to any one of claims 1 to 5, characterized in that: include: An information acquisition module is used to acquire information about reactor parameters and support insulator parameters; A mass matrix generation module, used for generating a mass matrix by calculating the coil mass of the reactor coil according to the reactor parameter information; A stiffness matrix generation module, used to calculate the lateral stiffness of the reactor coil according to the support insulator parameter information and generate a stiffness matrix; The bending force calculation module is used to calculate the bending force of the post insulator according to the mass matrix and the stiffness matrix, through the model of the multi-degree-of-freedom undamped vibration system and the seismic parameters.

7. The anti-seismic device according to claim 6, characterized in that: The reactor parameter information includes the quantity, quality information and height position information of the reactor coils; The post insulator parameter information includes structural information and quantity information of the post insulator.

8. The anti-seismic device according to claim 6, characterized in that: The stiffness matrix generation module is configured to perform the following operations: According to the parameter information of the post insulator, a beam unit model of the post insulator is established; Based on the beam unit model, the deflection equation of the cantilever beam under the condition of concentrated load on the end is derived. Calculating the single displacement stiffness of a single coil in the reactor coil according to the deflection equation; The total lateral stiffness is calculated according to the plurality of single lateral stiffnesses by a serial accumulation method.

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