CN115270370A - Pipeline sensor arrangement method based on modal feature extraction and inversion - Google Patents

Pipeline sensor arrangement method based on modal feature extraction and inversion Download PDF

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CN115270370A
CN115270370A CN202210714852.1A CN202210714852A CN115270370A CN 115270370 A CN115270370 A CN 115270370A CN 202210714852 A CN202210714852 A CN 202210714852A CN 115270370 A CN115270370 A CN 115270370A
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vibration
pipeline
modal
order
response
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万瑜
金传领
林劭辰
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Jiangsu Fangtian Power Technology Co Ltd
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Jiangsu Fangtian Power Technology Co Ltd
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    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F30/00Computer-aided design [CAD]
    • G06F30/10Geometric CAD
    • G06F30/18Network design, e.g. design based on topological or interconnect aspects of utility systems, piping, heating ventilation air conditioning [HVAC] or cabling
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F17/00Digital computing or data processing equipment or methods, specially adapted for specific functions
    • G06F17/10Complex mathematical operations
    • G06F17/16Matrix or vector computation, e.g. matrix-matrix or matrix-vector multiplication, matrix factorization
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F30/00Computer-aided design [CAD]
    • G06F30/20Design optimisation, verification or simulation
    • G06F30/23Design optimisation, verification or simulation using finite element methods [FEM] or finite difference methods [FDM]
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F2111/00Details relating to CAD techniques
    • G06F2111/10Numerical modelling
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F2113/00Details relating to the application field
    • G06F2113/14Pipes
    • YGENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
    • Y02TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
    • Y02TCLIMATE CHANGE MITIGATION TECHNOLOGIES RELATED TO TRANSPORTATION
    • Y02T90/00Enabling technologies or technologies with a potential or indirect contribution to GHG emissions mitigation

Abstract

The invention discloses a pipeline sensor arrangement method based on modal feature extraction and inversion, which comprises the following steps: establishing a three-dimensional model of the pipeline, and introducing the three-dimensional model into a numerical simulation system to obtain a pipeline model; performing modal analysis, acquiring vibration modal response and vibration mode of each order of the pipeline model and a preset position of a sensor, and acquiring a characteristic matrix of a full-order vibration response function through the preset position of the sensor; arranging sensors according to preset positions of the sensors, measuring vibration response vectors, and inverting vibration characteristic values by combining the characteristic matrix; calculating a vibration calculation value of any point in the pipeline according to the vibration characteristic value and the vibration mode of each order of vibration mode response of the pipeline model; comparing the vibration calculation value with the measured value to obtain an inversion error, if the inversion error exceeds 10%, increasing the modal analysis order, and repeating the process; otherwise, the arrangement position of the sensor is output. The invention uses fewer sensors to obtain the overall vibration characteristics on the pipeline, and reduces the cost.

Description

Pipeline sensor arrangement method based on modal feature extraction and inversion
Technical Field
The invention relates to the technical field of pipeline sensor arrangement, in particular to a pipeline sensor arrangement method based on modal characteristic extraction and inversion.
Background
According to the existing software and hardware equipment and observation means, various mechanical equipment and matched pipeline structures can be monitored in real time. The working condition of the equipment can be intelligently diagnosed according to the monitored data, and serious safety accidents can be avoided even if emergency measures are taken when mechanical faults occur.
As a key matching structure for maintaining mechanical equipment, the vibration condition of a pipeline directly influences the working state and the service life of the relevant mechanical equipment. The working condition of the pipeline is monitored in real time, the sensors of various signals are required to be matched with each other, the sensors are required to be arranged at reasonable positions to obtain effective monitoring data, the recorded data of the sensors are uniformly processed by matching with a central processing system of the data and a specific data calculation method, and the vibration characteristics of the whole pipeline can be obtained.
The current pipeline vibration sensor arrangement position selection is often based on the structure of the pipeline, and the following parts are generally selected: 1) Elbows with greater pipeline flexibility; 2) A location proximate to the vibration source; 3) A suspended position between the two fixed points; 4) The interface part of the pipeline and important equipment; 5) The pipeline is provided with a valve, a tee joint and other large parts for concentrating mass; 6) A larger response site in pipeline modal analysis. However, the selection principle of the monitoring positions of the pipeline vibration sensors is too dependent on the experience of engineers, a uniform standardized method is not formed, the sensor arrangement is often subjected to redundancy and invalidation, or key positions are avoided, and important information is ignored.
Disclosure of Invention
Aiming at the problems in the prior art, the invention provides a pipeline sensor arrangement method based on modal feature extraction and inversion, which can obtain comprehensive vibration features on a pipeline by using fewer sensors, reduce the cost of pipeline monitoring equipment, provide effective monitoring data, and effectively avoid the abnormal vibration condition of the pipeline by matching with a related calculation method.
In order to achieve the purpose, the invention provides the following technical scheme: a pipeline sensor arrangement method based on modal feature extraction and inversion specifically comprises the following steps:
step 1, establishing a three-dimensional model of a pipeline according to an engineering drawing, importing the three-dimensional model into an ANSYS Workbench numerical simulation system, carrying out grid division, setting pipeline operation parameters according to an application scene of the pipeline, and setting a modal analysis initial order to obtain a pipeline model;
step 2, performing modal analysis on the obtained pipeline model, obtaining vibration modal response of each order of the pipeline model, vibration mode and preset position of a sensor, and obtaining a characteristic matrix of a full-order vibration response function through the preset position of the sensor;
step 3, arranging sensors according to preset positions of the sensors, measuring vibration response vectors, and inverting vibration characteristic values by combining the characteristic matrix;
step 4, calculating a vibration calculation value of any point in the pipeline through the vibration characteristic value and the vibration mode of each order of vibration mode response of the pipeline model; comparing the vibration calculation value with the measured value to obtain an inversion error, if the inversion error exceeds 10%, increasing the modal analysis order, and repeating the step 2-4; otherwise, the arrangement position of the sensor is output.
Further, step 2 comprises the following sub-steps:
step 21, carrying out modal analysis calculation on the pipeline model to obtain vibration displacement response and vibration mode of the pipeline model in each mode, taking the maximum response position of each order mode of the pipeline model as a preset sensor arrangement position, and numbering;
step 22, according to the displacement characteristics B of the pipeline vibration at the arrangement position of the sensor1And frequency characteristic B2Obtaining a vibration response function and converting the displacement characteristic B1And frequency characteristic B2And forming a characteristic matrix B of the full-order vibration response function.
Further, the feature matrix B = B1·B2
Further, the process of inverting the vibration characteristic value in step 3 is as follows:
B×C=D
wherein B is the feature matrix, C is the vibration feature value, and D is the measured vibration response vector.
Further, the modal analysis initial order is set to 6.
Compared with the prior art, the invention has the following beneficial effects: the pipeline sensor arrangement method provided by the invention is based on modal simulation data, fully excavates the simulation result of the pipeline, provides a method for establishing a feature matrix of a full-order vibration response function and a method for solving an inversion vibration feature value according to the vibration mode feature of the pipeline, and can realize the combination of the simulation data and the actual measurement data by matching with the actual measurement data. The method can obtain comprehensive vibration characteristics on the pipeline by using fewer sensors, reduce the cost of pipeline monitoring equipment, provide effective monitoring data, and can effectively avoid the abnormal vibration condition of the pipeline by matching with a related calculation method.
Drawings
FIG. 1 is a flow chart of a pipeline sensor arrangement method based on modal feature extraction and inversion in accordance with the present invention;
FIG. 2 is a schematic diagram of a model of a phase modulator rotor lubricant supply line;
FIG. 3 is a schematic diagram of the placement of phase modulator rotor lube oil supply line models by modal analysis preset sensors.
Detailed Description
The technical solution of the present invention is further explained below with reference to the accompanying drawings.
Fig. 1 is a flowchart of a pipeline sensor arrangement method based on modal feature extraction and inversion according to the present invention, and the pipeline sensor arrangement method specifically includes the following steps:
step 1, establishing a three-dimensional model of a pipeline according to an engineering drawing, importing the three-dimensional model into an ANSYS Workbench numerical simulation system, carrying out grid division, setting pipeline operation parameters according to an application scene of the pipeline, and setting a modal analysis initial order to be 6 according to engineering experience to obtain a pipeline model; in the invention, if the initial order is set to be too small, the data calculation error is increased, and if the initial order is set to be too large, the operation cost is increased.
Step 2, performing modal analysis on the obtained pipeline model, obtaining the vibration mode of each order of vibration modal response of the pipeline model and the preset position of the sensor, and obtaining a characteristic matrix of a full-order vibration response function through the preset position of the sensor; the method specifically comprises the following substeps:
step 21, performing modal analysis calculation on the pipeline model to obtain vibration displacement response and vibration mode of the pipeline model in each mode, taking the maximum response position of each order mode of the pipeline model as a preset sensor arrangement position, and numbering; the vibration state of the pipeline can be obtained by using fewer sensors by taking the maximum response position as the sensor arrangement position;
step 22, according to the displacement characteristics B of the pipeline vibration at the arrangement position of the sensor1And frequency characteristic B2Obtaining a vibration response function and converting the displacement characteristic B1And frequency characteristic B2Characteristic matrix B = B constituting a full-order vibration response function1·B2(ii) a The format of the vibration response function in the present invention is a sine function Asin (ω t), and each element in B conforms to this format, and the time term is ignored.
Step 3, arranging sensors according to preset positions of the sensors, measuring a vibration response vector C, and inverting a vibration characteristic value D by combining a characteristic matrix, wherein the specific inversion process is as follows: b × C = D.
Step 4, calculating a vibration calculation value of any point in the pipeline through the vibration characteristic value and the vibration mode of each order of vibration mode response of the pipeline model; comparing the vibration calculation value with the measured value to obtain an inversion error, if the inversion error exceeds 10%, indicating that the initial order is small, causing the data calculation error to be large, needing to increase the modal analysis order, and repeating the step 2-4; otherwise, the arrangement position of the sensor is output.
According to the pipeline sensor arrangement method based on modal characteristic extraction and inversion, the comprehensive vibration characteristics on the pipeline are quickly and accurately obtained by using fewer sensors and modal analysis data, and the sensor arrangement cost is reduced.
Examples
Taking a rotor bearing lubricating oil supply pipeline of a phase modifier as an example, as shown in fig. 2, positions 1-11 represent possible positions with larger vibration, if at least 11 sets of sensors are arranged by using the existing method, and if the pipeline sensor arrangement method based on modal feature extraction and inversion is used for sensor arrangement, the number of the sensors is reduced to 6, and the cost is greatly reduced. The specific analysis process is as follows:
(1) Establishing a three-dimensional model of the pipeline according to an engineering drawing, importing the three-dimensional model into an ANSYS Workbench numerical simulation system, carrying out grid division, setting pipeline operation parameters according to an application scene of the pipeline, and setting the initial order of modal analysis to be 6 to obtain a pipeline model;
(2) Performing modal analysis on the obtained pipeline model to obtain vibration modal response of each order of the pipeline model, vibration mode and preset position of the sensor, and obtaining a characteristic matrix of a full-order vibration response function through the preset position of the sensor; in particular, the amount of the solvent to be used,
step 21, performing modal analysis calculation on the pipeline model to obtain vibration displacement response of the pipeline model in each mode, such as table 1 and vibration mode, taking the maximum response position of each order mode of the pipeline model as a preset sensor arrangement position, such as figure 3, and numbering (k)jJ =1,2, …, 6), the frequencies of each mode and the amplitudes of each monitoring point are shown in table 2;
TABLE 1 respective order modal vibration displacement response of pipeline model
Figure BDA0003709080380000041
Figure BDA0003709080380000051
TABLE 2 frequencies of the modes and amplitudes of the monitoring points
Figure BDA0003709080380000052
Step (ii) of22. Displacement characteristic B according to vibration of pipeline at sensor arrangement position1And frequency characteristic B2Obtaining a vibration response function and converting the displacement characteristic B1And frequency characteristic B2A feature matrix B forming a full order vibration response function, wherein the displacement feature B1Is represented as follows:
Figure BDA0003709080380000061
frequency characteristic B2Is represented as follows:
Figure BDA0003709080380000062
step 3, arranging sensors according to preset positions of the sensors, measuring a vibration response vector D, and inverting a vibration characteristic value C by combining a characteristic matrix;
B×C=D
C=(c1,c2,c3,c4,c5,c6)T
D=(d1,d2,d3,d4,d5,d6)T
wherein, ciI =1 to 6, representing 6 vibration vector eigenvalues to be solved; diAnd i =1 to 6, which represent vibration response vectors measured by the sensor.
And 4, simultaneously establishing the vibration mode response mode of each order of the pipeline model in the table 1 to obtain an inverted global pipeline vibration calculation value E, wherein the vibration information of any point in the pipeline can be obtained in the E.
(M.1,M.2,M.3,M.4,M.5,M.6)×C=E
And comparing the calculated value of the vibration with the measured value to obtain an inversion error, wherein the calculated inversion error is 8.2 percent and is less than 10 percent, which indicates that the preset modal order is reasonable.
Through the modal characteristic extraction and inversion method, the arrangement position of the pipeline sensor in the pipeline is obtained, and the vibration response effect of the pipeline sensor is similar to that of the vibration response effect measured by 11 sets of sensors in the figure 2 after detection, so that the pipeline sensor arrangement method has the advantages that the number of the sensors arranged is reduced, the cost is reduced, the measurement effect is not changed, and meanwhile, a foundation is provided for the subsequent pipeline vibration digital visualization and digital twin technology upgrading.
The above is only a preferred embodiment of the present invention, and the protection scope of the present invention is not limited to the above-mentioned embodiments, and all technical solutions belonging to the idea of the present invention belong to the protection scope of the present invention. It should be noted that modifications and embellishments within the scope of the invention may be made by those skilled in the art without departing from the principle of the invention.

Claims (5)

1. A pipeline sensor arrangement method based on modal feature extraction and inversion is characterized by comprising the following steps:
step 1, establishing a three-dimensional model of a pipeline according to an engineering drawing, importing the three-dimensional model into an ANSYS Workbench numerical simulation system, carrying out grid division, setting pipeline operation parameters according to an application scene of the pipeline, and setting a modal analysis initial order to obtain a pipeline model;
step 2, performing modal analysis on the obtained pipeline model, obtaining vibration modal response of each order of the pipeline model, vibration mode and preset position of a sensor, and obtaining a characteristic matrix of a full-order vibration response function through the preset position of the sensor;
step 3, arranging sensors according to preset positions of the sensors, measuring vibration response vectors, and inverting vibration characteristic values by combining the characteristic matrix;
step 4, calculating a vibration calculation value of any point in the pipeline through the vibration characteristic value and the vibration mode of each order of vibration mode response of the pipeline model; comparing the vibration calculation value with the measured value to obtain an inversion error, if the inversion error exceeds 10%, increasing the modal analysis order, and repeating the step 2-4; otherwise, the arrangement position of the sensor is output.
2. The pipeline sensor arrangement method based on modal feature extraction and inversion according to claim 1, wherein the step 2 comprises the following sub-steps:
step 21, carrying out modal analysis calculation on the pipeline model to obtain vibration displacement response and vibration mode of the pipeline model in each mode, taking the maximum response position of each order mode of the pipeline model as a preset sensor arrangement position, and numbering;
step 22, according to the displacement characteristics B of the pipeline vibration at the arrangement position of the sensor1And frequency characteristic B2Obtaining a vibration response function and converting the displacement characteristic B1And frequency characteristic B2And forming a characteristic matrix B of the full-order vibration response function.
3. The pipeline sensor arrangement method based on modal feature extraction and inversion according to claim 2, wherein the feature matrix B = B1·B2
4. The pipeline sensor arrangement method based on modal feature extraction and inversion according to claim 1, wherein the process of inverting the vibration feature values in step 3 is as follows:
B×C=D
wherein B is the feature matrix, C is the vibration feature value, and D is the measured vibration response vector.
5. The pipeline sensor arrangement method based on modal feature extraction and inversion according to claim 1, wherein the modal analysis initial order is set to 6.
CN202210714852.1A 2022-06-23 2022-06-23 Pipeline sensor arrangement method based on modal feature extraction and inversion Pending CN115270370A (en)

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