DIGITAL TWINNING METHOD FOR MONITORING OPERATION STATE OF TOWER OF WIND TURBINE GENERATOR SYSTEM ONLINE
20250165673 ยท 2025-05-22
Assignee
Inventors
Cpc classification
G06F2119/02
PHYSICS
G06F30/23
PHYSICS
International classification
Abstract
Disclosed is a digital twinning method for monitoring an operation state of a tower of a wind turbine generator system online. The method includes: 1) constructing a simplified model of the tower of the wind turbine generator system, and discretizing the simplified model according to a finite element method to obtain a finite element model; 2) reducing an order of the finite element model of the tower according to proper orthogonal decomposition, analyzing precision of a reduced-order model under different orders, and selecting the reduced-order model having a smallest reduced order as a final reduced-order model on the premise that the precision satisfies actual engineering requirements; and 3) programming upper computer software in a computer, deploying the reduced-order model to the upper computer software, further building a physical entity of the tower, and monitoring a stress and a strain of the physical entity online through the reduced-order model.
Claims
1. A digital twinning method for monitoring an operation state of a tower of a wind turbine generator system online, comprising: step 1, obtaining a simplified physical model of the tower of the wind turbine generator system according to geometrical characteristics of the tower of the wind turbine generator system, and analyzing an actual stress condition of the tower to construct a finite element model of the tower; step 2, carrying out order reduction analysis on the finite element model constructed in step 1 according to proper orthogonal decomposition (POD), comparing precision of a reduced-order model under different orders, and determining a final reduced order, wherein the final reduced order satisfies engineering requirements of the reduced model under the order; and step 3, designing and constructing upper computer software in a computer, and deploying the reduced-order model of the tower to the upper computer software; building a physical entity of the tower, installing a strain sensor and an inclination sensor, reading sensor data and uploading the data to an upper computer through a single chip microcomputer, so as to convert the data into a displacement boundary condition, and then inputting the displacement boundary condition into the reduced-order model for calculation; and determining accuracy of the digital twinning method for monitoring the operation state of the tower by calculating an error between a measured strain value of the strain sensor and a calculated strain value of the reduced-order model in the upper computer.
2. The digital twinning method for monitoring an operation state of a tower of a wind turbine generator system online according to claim 1, wherein the step 1 further comprises: simplifying a flange connection structure between the tower of the wind turbine generator system, and simplifying the tower into a beam structure, so as to construct the simplified physical model of the tower; a point of intersection of an axis of the tower before bending deformation and a lower end surface of the tower is an origin O of a coordinate system XYZ; and normal vectors of an end surface at a top end of the tower before bending deformation and after bending deformation are n.sub.0 and n.sub.1 respectively, and an included angle between the two vectors is an inclination angle of the end surface at the top end of the tower, and an expression of deflection w and the inclination angle of the end surface at the top end of the tower is as follows:
3. The digital twinning method for monitoring an operation state of a tower of a wind turbine generator system online according to claim 1, wherein the step 2 further comprises: constructing the reduced-order model of a displacement field of the tower by combining the POD with a finite element method as follows: solving the finite element model of step 1 to obtain a displacement solution set of a joint, and selecting m samples from the set to form a matrix X=[q.sub.1, q.sub.2, . . . , q.sub.m], wherein q.sub.i=[u.sub.1, u.sub.2, . . . , u.sub.z].sup.T is a displacement solution of the joint, and z is the number of degrees of freedom of the finite element model; {.sub.1, .sub.2, . . . , .sub.n} is set as a group of n orthonormal bases of X, and is written as a matrix form denoted as ; and for the finite element model of the tower, a joint displacement value q.sub.t at any moment is represented by {.sub.1, .sub.2, . . . , .sub.n}:
4. The digital twinning method for monitoring an operation state of a tower of a wind turbine generator system online according to claim 1, wherein in the step 3, the upper computer reads the sensor data uploaded by the single chip microcomputer, converts the data into the displacement boundary condition, and inputs the displacement boundary condition into the reduced-order model to achieve rapid calculation, so as to obtain calculated strain and stress values of the current physical entity of the tower and a displacement solution of a joint; after calculation of the reduced-order model is completed, a calculation result is processed in the upper computer, that is, deformation of the physical entity of the tower is rapidly quantified on the basis of the displacement solution of the joint and displayed in the upper computer; an error between a strain calculation result of the reduced-order model and an actual strain of the physical entity is obtained by means of a strain value calculated by the reduced-order model and a strain value measured by a sensor; and stress nephogram is visualized by combining the displacement solution of the joint with the calculated stress value to intuitively and clearly express stress distribution of the physical entity of the tower.
Description
BRIEF DESCRIPTION OF THE DRAWINGS
[0033]
[0034]
[0035]
[0036]
[0037]
[0038]
[0039]
[0040]
[0041]
DETAILED DESCRIPTIONS OF THE EMBODIMENTS
[0042] The present disclosure will be further described below in combination with the accompanying drawings of the description and the examples.
[0043] A digital twinning method for monitoring an operation state of a tower of a wind turbine generator system online specifically includes:
[0044] Step 1: a simplified physical model of the tower of the wind turbine generator system is established, the tower is approximated to a slender beam having a flange structure at one end, a beam cross section is in a shape of a circular ring, and a material is polyvinyl chloride (PVC); and the simplified model is divided into meshes through a 3D8 joint entity structure unit to obtain a mesh model including 7080 joints and 3780 units.
[0045] In order to calculate a joint displacement vector q.sub.a of a joint having no displacement constraint of the tower, formula (3) is deformed to obtain the following formula:
[0046] Deflection w at a top end of the tower and a bending azimuth of the tower are sampled according to a Latin hypercube sampling method to determine a sampling range of the deflection as [0, 0.15], a sampling range of an azimuth as [0, 2), and the number of sampling points as 20. Results are shown in Table 1:
TABLE-US-00001 TABLE 1 Sampling results obtained according to Latin hypercube sampling method for deflection at top end of tower and bending azimuth of tower Sampling point sequence number Deflection w/m Azimuth /rad 1 0.123 0.317 2 0.072 0.888 3 0.054 1.489 4 0.081 2.074 5 0.024 4.060 6 0.036 3.554 7 0.139 2.701 8 0.145 2.832 9 0.091 5.842 10 0.021 5.145 11 0.045 4.349 12 0.061 1.765 13 0.131 2.462 14 0.004 0.075 15 0.011 6.009 16 0.042 5.544 17 0.108 4.497 18 0.116 3.363 19 0.098 1.089 20 0.084 4.765
[0047] Data in Table 1 is substituted into formula (2) to obtain a displacement boundary condition, and then substituted into formula (13) for calculation to obtain a displacement solution set of joints, and the displacement solution set of a joint is used in step 2 to construct a reduced-order model. Physical quantities finally monitored online in the present disclosure are a stress and a strain, and the stress and the strain at any unit joint may be calculated according to a displacement solution of the joint with reference to formula (14):
[0049] Step 2: according to Table 1, the displacement boundary condition is determined, a finite element model is solved, the calculated displacement solution of the joint is sorted corresponding to sampling point sequence numbers to form a matrix V=[v.sub.1, v.sub.1, . . . , v.sub.20], and the matrix V is decomposed through singular values to obtain a singular value matrix and a left singular value vector matrix W.
[0050] First 20 singular values on a diagonal of the singular value matrix are drawn in
[0051] When k is less than 10, the characteristic information of the transformation matrix without retaining the original samples is shown in
[0052] First five columns of a left singular value vector matrix W are selected to construct a transformation matrix .sub.5, the order of the finite element model is reduced through the transformation matrix to obtain a 5-order reduced-order model, formula (5) is substituted into formula (13), and two ends of formula (13) are multiplied left by .sup.T.sub.5 to obtain the following formula:
[0054] Under the same displacement boundary condition, the displacement solution of the joint is obtained by calculating the reduced-order model and the finite element model separately, and a relative error of each degree of freedom in the displacement solution of the joint of the reduced-order model is calculated. Since numerical values of most of relative errors are close, in order to clearly express the relative errors of the reduced-order model, relative error logarithmic values are used. The definition is as follows:
[0055] err.sub.i is a relative error logarithmic value of the reduced-order model on an i-th degree of freedom; and q.sub.i is a displacement value corresponding to the i-th degree of freedom in the displacement solution of the joint calculated by the finite element model, and q.sub.i(5) is a displacement value corresponding to the i-th degree of freedom in the displacement solution of the joint calculated by the 5-order reduced-order model. All degrees of freedom in the displacement solution of the joint are calculated, and calculation results are drawn in
[0056] Step 3: a schematic structural diagram of the tower is shown in (a) of
[0057] An inclination angle of an end surface of a top end of the tower is detected through an inclination sensor, and the displacement boundary condition is obtained by combining formula (1) with formula (2); and a voltage value of a strain sensor is sampled and read through an analog-to-digital converter (ADC), and an average strain of the physical entity at an installation position of the strain sensor may be calculated according to formula (18).
[0058] e.sub.0 is an output voltage of the strain sensor, and has a unit of V; E is a supply voltage of the strain sensor, and has a unit of V; R.sub.1, R.sub.2, R.sub.3 and R.sub.4 are bridge resistors of the strain sensor, and have a unit of ; K.sub.s is a sensitivity coefficient of the strain sensor, which is related to a material used by the strain sensor, and the sensitivity coefficient of the BF350-3EB strain sensor is 2.1; and is an average strain of the physical entity at the installation position of the strain sensor.
[0059] A von-mises stress at the joint may be calculated through six stress components at the unit joint on the basis of the following formula:
[0060] .sub.xx, .sub.yy, .sub.zz, .sub.xy, .sub.yz and .sub.zx are six stress components of the stress at the unit joint separately, related definitions of which have been given in formula (14).
[0061] When the physical entity of the tower and the reduced-order model on the computer are interactively analyzed, the data of the inclination sensor and the strain sensor is read through an STM32 single chip microcomputer; the data is obtained, and then the data is uploaded to the computer through the STM32 single chip microcomputer; inclination data is processed and converted into the displacement boundary condition in the upper computer software that has been compiled, the displacement boundary condition is substituted into the 5-order reduced-order model that has been deployed in the upper computer to obtain the displacement solution of the joint, an interface of the upper computer software is shown in
[0062] It may be seen from
[0063] The present disclosure has the beneficial effects as follows: [0064] the present disclosure provides the digital twinning method for monitoring an operation state of a tower of a wind turbine generator system online. Compared with the prior art, the method can rapidly obtain the current state of the tower of the wind turbine generator system and visualize the current state of the tower of the wind turbine generator system in a manner of stress nephogram and a strain curve, and an analysis result has high precision, thereby achieving the purpose of monitoring the operation state of the tower online.
[0065] To sum up, the digital twinning method based on the POD can effectively monitor the operation state of the tower of the wind turbine generator system online.