Real-time monitoring method and device for the hydrodynamic response of flexible spliced ​​photovoltaic systems on water surfaces

Abstract

This invention relates to the field of structural vibration and deformation detection technology, and discloses a real-time monitoring method and device for the hydrodynamic response of a flexible, spliced, water-surface photovoltaic system. The method includes: collecting environmental parameter data, structural parameter data, overall equivalent bending stiffness, and full-field wave incident potential corresponding to the water-surface photovoltaic system composed of several photovoltaic structural units; solving a preset equivalent integral equation based on various parameters and the full-field wave incident potential to obtain the scattering potential at each node; calculating the full-field displacement distribution of the elastic plate by combining the full-field wave incident potential and the node scattering potential; converting the full-field displacement distribution of the elastic plate into the full-field displacement distribution of the water-surface photovoltaic system using interpolation, referring to the structural parameter data; calculating the maximum relative rotation angle of adjacent unit pairs based on the obtained displacement distribution; and outputting an early warning message when the value exceeds a preset safety threshold. This invention realizes full-domain deformation measurement of the water-surface photovoltaic system, enabling real-time identification of safety hazards in the photovoltaic splicing structure and timely early warning.

Description

Technical Field

[0001] This invention relates to the field of structural vibration and deformation detection technology, specifically to a real-time monitoring method and device for the hydrodynamic response of a flexible spliced ​​photovoltaic system on a water surface. Background Technology

[0002] Photovoltaic power generation is currently attracting much attention due to its green and clean characteristics. Among them, flexible modular floating photovoltaic systems do not occupy land resources and are simple in structure and easy to manufacture, making them the most mature basic type of floating photovoltaic system, which has been widely deployed in inland lakes and reservoirs. my country has abundant offshore photovoltaic resources, and the application of flexible modular floating photovoltaic systems in nearshore areas has received widespread attention.

[0003] Unlike inland lakes, marine environments present significant wave loads. The displacement response of flexible, modular photovoltaic structures on the water surface under wave action directly affects structural safety and requires effective monitoring.

[0004] Currently, the main method for monitoring the displacement response of flexible modular surface photovoltaic systems under wave action is to deploy displacement sensors point-by-point on the floating units. However, flexible modular surface photovoltaic systems are assembled from a large number of floating units using connectors, characterized by numerous connecting units and a large horizontal scale. Deploying displacement sensors point-by-point would require a large number of sensors, resulting in high costs; the sensors and their associated cables would be exposed to the high-salt, high-humidity marine environment for extended periods, making maintenance difficult and prone to damage; furthermore, the sensors can only acquire displacement data at the deployment points, failing to reflect the continuous deformation distribution across the entire structure, thus creating monitoring blind spots.

[0005] Therefore, there is an urgent need for a flexible, spliced ​​real-time monitoring method for photovoltaic hydrodynamic response on the water surface that does not require the deployment of sensors at each point, can acquire the displacement response across the entire field, and combines physical accuracy with real-time performance. Summary of the Invention

[0006] This invention provides a real-time monitoring method and device for the hydrodynamic response of flexible spliced ​​photovoltaic structures on water surfaces, in order to solve the problems of inaccurate deformation calculation, high sensing and monitoring costs, and monitoring blind spots in existing technologies for flexible spliced ​​photovoltaic structures on water surfaces.

[0007] In a first aspect, the present invention provides a real-time monitoring method for the hydrodynamic response of a flexible, modular photovoltaic system on a water surface, the method comprising: The process involves acquiring environmental parameter data, structural parameter data, overall equivalent bending stiffness, and full-field wave incident potential for a surface photovoltaic (PV) system. The surface PV system comprises multiple PV structural units. Based on these data, a pre-established equivalent integral equation is solved to obtain the scattering potential of each node. Nodes are numerically computed discretely arranged on the boundary surface of the computational domain. The equivalent integral equation is constructed based on potential flow theory and the plate Green's function method, treating the surface PV system as an elastic plate with zero immersion depth. The full-field displacement distribution of the elastic plate is calculated based on the full-field wave incident potential and the scattering potential of each node. Using the structural parameter data, the full-field displacement distribution of the elastic plate is converted to the full-field displacement distribution of the surface PV system through interpolation. Based on the full-field displacement distribution of the surface PV system, the maximum relative rotation angle of each adjacent unit pair is determined. If the maximum relative rotation angle exceeds a preset safety threshold, a warning message is issued.

[0008] The real-time monitoring method for the hydrodynamic response of flexible spliced ​​photovoltaic systems provided by this invention acquires basic parameters of the photovoltaic structure, water environment, and incident waves, providing complete and realistic operating condition input for hydrodynamic response calculation. The flexible spliced ​​photovoltaic system is equivalent to a zero-immersion depth elastic plate, and an equivalent integral equation is constructed using potential flow theory and the plate Green's function method to solve for the scattering potential at each node. This eliminates the need for densely deployed displacement sensors on-site, effectively reducing monitoring hardware investment and maintenance costs. Furthermore, it accurately considers the diffraction and radiation flow field changes caused by wave-structure coupling, effectively improving the accuracy of wave flow field solutions. Further, it superimposes... By using the projectile and scattering potentials to obtain the true total wave flow field and solve for the full-field displacement of the elastic plate, the overall deformation response of the equivalent structure under wave load can be accurately characterized. Through interpolation, the displacement of the elastic plate model is accurately mapped to the actual photovoltaic structure displacement, effectively eliminating calculation deviations caused by mismatches between numerical nodes and actual structural positions, ensuring that the displacement results closely match the actual structural deformation state. Finally, based on the true full-field displacement, the maximum relative rotation angle of adjacent photovoltaic units is quantified and a threshold judgment and early warning are performed, which can accurately identify the bending deformation risk of the photovoltaic splicing structure and achieve reliable real-time monitoring based on the actual structural hydrodynamic response.

[0009] In one optional implementation, the real-time monitoring method for the hydrodynamic response of flexible spliced ​​water surface photovoltaic systems includes: The overall equivalent bending stiffness is obtained by analyzing two photovoltaic structural units connected end-to-end in a water-surface photovoltaic system.

[0010] The real-time monitoring method for the hydrodynamic response of flexible spliced ​​photovoltaic systems provided by this invention obtains the overall equivalent bending stiffness by analyzing two photovoltaic structural units connected end to end. This method can closely match the actual splicing stress characteristics of flexible spliced ​​photovoltaic systems, avoid deviations in stiffness parameter values, and provide accurate basic mechanical parameters for hydrodynamic response calculation.

[0011] In one optional implementation, the overall equivalent bending stiffness is obtained by analyzing two photovoltaic structural units connected end-to-end in the water-surface photovoltaic system, including: Based on the structural parameter data, two photovoltaic structural units connected end-to-end were selected as the model analysis units. The model analysis units were scaled down using a preset geometric scale, and bending moment performance tests were conducted on the scaled-down model analysis units to obtain the relative rotation angle between the two photovoltaic structural units in the model analysis unit. Based on the tested bending moment value, the center distance of the model analysis units, and the relative rotation angle, the equivalent bending stiffness of the model was calculated. The equivalent bending stiffness of the model was then converted into the overall equivalent bending stiffness of the water surface photovoltaic system according to the preset geometric scale.

[0012] The real-time monitoring method for the hydrodynamic response of flexible spliced ​​photovoltaic structures provided by this invention selects a pair of interconnected photovoltaic structural units as the analysis model, which can fully cover the bending deformation characteristics of the photovoltaic unit body and the flexible spliced ​​structure, ensuring that the stiffness analysis object closely matches the actual stress conditions. Bending moment performance testing is conducted according to a preset geometric scale scale model, avoiding the problems of high difficulty, high cost, and difficulty in reproducing the working conditions in full-size structural tests. Furthermore, the equivalent bending stiffness of the model is solved based on the measured bending moment value, unit center distance, and relative rotation angle, relying on real mechanical deformation data to ensure the authenticity of the stiffness calculation. Finally, the overall equivalent bending stiffness of the prototype structure is obtained by converting the geometric scale parameters, accurately restoring the overall bending performance of the actual photovoltaic structure, effectively solving the problem of the difficulty in directly calculating the overall stiffness of flexible spliced ​​photovoltaic structures.

[0013] In one optional implementation, the full-field displacement distribution of the elastic plate is calculated based on the full-field wave incident potential and the scattering potential at each node, including: The total wave velocity potential is obtained by summing the incident wave potential and the scattering potential at each node. Based on the total wave velocity potential, fluid density, and wave circular frequency, the distributed wave pressure is calculated. Combining the plate Green's function and the overall equivalent bending stiffness, the distributed wave pressure is integrally calculated in the computational domain of the elastic plate to obtain the total displacement distribution of the elastic plate.

[0014] The real-time monitoring method for the hydrodynamic response of flexible spliced ​​photovoltaic systems provided by this invention calculates the total wave velocity potential by superimposing the incident and scattered potentials, taking into account the influence of the original incident waves as well as the diffracted and radiated waves caused by structural obstruction and motion, thus fully restoring the true flow field distribution on the structural surface. Furthermore, the velocity potential is converted into distributed wave pressure, establishing a computational correlation between the wave flow field and the structural stress, providing a practical load basis for deformation analysis. By utilizing the load-displacement response law mapped by the plate Green's function and combining it with the integral solution of the overall bending stiffness in the computational domain, the displacement values ​​at each location are accurately obtained, effectively improving the reliability of the equivalent plate displacement calculation results.

[0015] In one optional implementation, based on structural parameter data, the full-field displacement distribution of the elastic plate is converted into the full-field displacement distribution of the water surface photovoltaic system using interpolation, including: Extract the abscissa of the element to be determined in the water surface photovoltaic, and determine the coordinates of two adjacent nodes that are close to the abscissa of the element to be determined in the computational domain; calculate the displacement of the element to be determined by interpolation based on the abscissa of the element to be determined and the coordinates of the adjacent nodes; traverse all elements to be determined and solve the corresponding displacements to obtain the full field displacement distribution of the water surface photovoltaic.

[0016] The real-time monitoring method for the hydrodynamic response of flexible spliced ​​photovoltaic arrays provided by this invention matches adjacent calculation nodes based on the actual photovoltaic unit coordinates. It uses interpolation to calculate the displacement of the physical units based on known node displacements, compensating for calculation deviations caused by misalignment between numerical nodes and actual structural points, ensuring that the displacement values ​​closely match the actual deformation of the structure. The method calculates the displacement of each unit individually and integrates the data to fully represent the unique distribution of the entire photovoltaic array.

[0017] In one optional implementation, the maximum relative rotation angle between adjacent unit pairs is calculated based on the full-field displacement distribution of the water surface photovoltaic system. If the maximum relative rotation angle exceeds a preset safety threshold, an early warning message is issued, including: In a water-surface photovoltaic system, two adjacent photovoltaic structural units are divided into adjacent unit pairs. Based on the full-field displacement distribution of the water-surface photovoltaic system, the displacement values ​​corresponding to the two ends of each photovoltaic structural unit in the adjacent unit pair are extracted. Based on the displacement values ​​corresponding to the two ends of each photovoltaic structural unit in the adjacent unit pair, the end displacement difference corresponding to the two ends of each photovoltaic structural unit is calculated. Combining the end displacement difference corresponding to the two ends of each photovoltaic structural unit with the length of the photovoltaic structural unit, the relative rotation angle of the adjacent unit pair is calculated. All adjacent unit pairs are traversed to calculate the corresponding relative rotation angle and the maximum relative rotation angle is selected. If the maximum relative rotation angle is greater than the preset safety threshold, an early warning information is issued.

[0018] The present invention provides a real-time monitoring method for the hydrodynamic response of flexible spliced ​​water surface photovoltaic arrays. Based on the array arrangement of the water surface photovoltaic arrays, multiple adjacent unit pairs are divided, and deformation data of the corresponding units are extracted using the full-field displacement distribution. By calculating the end displacement difference of each unit in an adjacent unit pair, the degree of bending deformation of the individual component is objectively reflected. Combined with unit specification parameters, the relative rotation angle is calculated, quantifying the actual bending amplitude at the splicing location. By traversing all adjacent units to complete the calculation and filtering for the maximum relative rotation angle, the status of all parts of the array can be fully covered, avoiding the omission of risk points. The maximum relative rotation angle is compared with a preset safety threshold to determine the quantified deformation index, enabling accurate identification of abnormal operating conditions.

[0019] Secondly, the present invention provides a real-time monitoring device for the hydrodynamic response of a flexible, modular photovoltaic system on a water surface, the device comprising: The data acquisition module is used to acquire environmental parameter data, structural parameter data, overall equivalent bending stiffness and full-field wave incident potential of the water surface photovoltaic system. The water surface photovoltaic system includes multiple photovoltaic structural units. The scattering potential solution module is used to solve the pre-established equivalent integral equation to obtain the scattering potential of each node based on environmental parameter data, structural parameter data, overall equivalent bending stiffness and full-field wave incident potential. The nodes are numerical calculation nodes discretely arranged on the enclosing boundary surface of the computational domain. The equivalent integral equation is constructed based on potential flow theory and plate Green's function method after equating the water surface photovoltaic with an elastic plate with zero immersion depth. The elastic plate displacement calculation module is used to calculate the full-field displacement distribution of the elastic plate based on the full-field wave incident potential and the scattering potential of each node. The water surface photovoltaic displacement calculation module is used to convert the full-field displacement distribution of the elastic plate into the full-field displacement distribution of the water surface photovoltaic based on the structural parameter data and through interpolation. The anomaly warning module is used to determine the maximum relative rotation angle of each adjacent unit pair based on the full-field displacement distribution of the water surface photovoltaic. If the maximum relative rotation angle exceeds the preset safety threshold, an early warning message will be issued.

[0020] Thirdly, the present invention provides an electronic device, comprising: a memory and a processor, wherein the memory and the processor are communicatively connected to each other, the memory stores computer instructions, and the processor executes the computer instructions to perform the real-time monitoring method for flexible spliced ​​water surface photovoltaic hydrodynamic response as described in the first aspect or any corresponding embodiment.

[0021] Fourthly, the present invention provides a computer-readable storage medium storing computer instructions for causing a computer to execute the real-time monitoring method for the flexible spliced ​​photovoltaic hydrodynamic response of the first aspect or any corresponding embodiment described above.

[0022] Fifthly, the present invention provides a computer program product, including computer instructions, which are used to cause a computer to execute the real-time monitoring method for the flexible spliced ​​water surface photovoltaic hydrodynamic response of the first aspect or any corresponding embodiment described above. Attached Figure Description

[0023] To more clearly illustrate the specific embodiments of the present invention or the technical solutions in the prior art, the drawings used in the description of the specific embodiments or the prior art will be briefly introduced below. Obviously, the drawings described below are some embodiments of the present invention. For those skilled in the art, other drawings can be obtained from these drawings without creative effort.

[0024] Figure 1This is a schematic diagram of an application scenario according to an embodiment of the present invention; Figure 2 This is a flowchart illustrating a real-time monitoring method for the hydrodynamic response of a flexible spliced ​​photovoltaic system on a water surface according to an embodiment of the present invention. Figure 3 This is a distribution diagram of the real part of the scattering potential of the elastic plate in a real-time monitoring method for the hydrodynamic response of a flexible spliced ​​photovoltaic system according to an embodiment of the present invention. Figure 4 This is a numerical distribution diagram of the imaginary part of the scattering potential of the elastic plate in a real-time monitoring method for the hydrodynamic response of a flexible spliced ​​water surface photovoltaic system according to an embodiment of the present invention. Figure 5 This is a numerical distribution diagram of the vertical displacement amplitude of the elastic plate in the real-time monitoring method for the hydrodynamic response of a flexible spliced ​​photovoltaic system according to an embodiment of the present invention. Figure 6 This is a structural block diagram of a flexible spliced ​​water surface photovoltaic hydrodynamic response real-time monitoring device according to an embodiment of the present invention; Figure 7 This is a schematic diagram of the hardware structure of an electronic device according to an embodiment of the present invention. Detailed Implementation

[0025] To make the objectives, technical solutions, and advantages of the embodiments of the present invention clearer, the technical solutions of the embodiments of the present invention will be clearly and completely described below with reference to the accompanying drawings. Obviously, the described embodiments are only some embodiments of the present invention, not all embodiments. Based on the embodiments of the present invention, all other embodiments obtained by those skilled in the art without creative effort are within the scope of protection of the present invention.

[0026] It is understood that before using the technical solutions disclosed in the various embodiments of the present invention, users should be informed of the types, scope of use, and usage scenarios of the personal information involved in the present invention and their authorization should be obtained in accordance with relevant laws and regulations through appropriate means.

[0027] As an optional application scenario of this invention, the specific application environment architecture or specific hardware architecture on which the real-time monitoring method for flexible spliced ​​water surface photovoltaic hydrodynamic response depends is described herein. For example... Figure 1 As shown, the architecture system may include at least one terminal device and at least one server. Figure 1 The system is illustrated in the example, which includes a computer 101, a mobile terminal 102, and a server 103, and the terminal devices such as the computer 101 and the mobile terminal 102 are connected to the server 103 through a network 110.

[0028] Specifically, the terminal device can be a smartphone, tablet, laptop, PDA, desktop computer, game console, smart TV, smart wearable device, in-vehicle terminal, VR (Virtual Reality) device, AR (Augmented Reality) device, etc. Server 103 can be a standalone physical server, a server cluster, a distributed system, or a cloud server providing cloud services. Network 110 can be a wired or wireless network, examples of which include, but are not limited to, the Internet, corporate intranet, local area network, wide area network, mobile communication network, and combinations thereof.

[0029] According to an embodiment of the present invention, a real-time monitoring method for the hydrodynamic response of a flexible spliced ​​photovoltaic system on a water surface is provided. It should be noted that the steps shown in the flowchart in the accompanying drawings can be executed in a computer system such as a set of computer-executable instructions. Furthermore, although a logical order is shown in the flowchart, in some cases, the steps shown or described may be executed in a different order than that shown here.

[0030] This embodiment provides a real-time monitoring method for the hydrodynamic response of a flexible, modular photovoltaic system on a water surface, which can be used on the aforementioned mobile terminals, such as mobile phones and tablets. Figure 2 This is a flowchart of a real-time monitoring method for the hydrodynamic response of a flexible spliced ​​photovoltaic system on a water surface according to an embodiment of the present invention, as shown below. Figure 2 As shown, the process includes the following steps: Step S201: Obtain environmental parameter data, structural parameter data, overall equivalent bending stiffness, and full-field wave incident potential of the water surface photovoltaic system.

[0031] In an optional embodiment, the surface photovoltaic system is composed of multiple photovoltaic structural units. The acquired environmental parameter data includes: water depth. H fluid density Structural parameter data includes: the average foundation height of the photovoltaic structural units in the floating photovoltaic system. d Total length of foundation Le unit center distance l average density Overall equivalent bending stiffness is a mechanical parameter used to characterize the overall bending deformation resistance of spliced ​​photovoltaic panels, and it is the core parameter for mechanical calculation of elastic plates.

[0032] Specifically, the wave height and period data of the incident waves are collected in real time. The real-time wave height obtained by the wave height meter is... H S The real-time period is T, and the amplitude of the incident wave is... A=H S / 2, wave circular frequency and wave numberk Calculated using equations (1) and (2) respectively: (1) (2) In the formula, g is the acceleration due to gravity, which is generally taken as 9.807 kg / m. 2 .

[0033] The full-field wave incident potential is the velocity potential of the incident wave throughout the entire computational domain, used to describe the flow field distribution of the incident wave, and can be derived from the incident wave parameters obtained above. The first-order Stokes wave incident potential can be calculated by the following equation (3): (3) In the formula, i The imaginary unit, g It is the acceleration due to gravity. A Let be the amplitude of the incident wave. Let be the angular frequency of the incident wave. k Let the wave number be the incident wave. x These are the position coordinates along the direction of wave propagation. z For vertical coordinates, H The water is deep.

[0034] Step S202: Based on environmental parameter data, structural parameter data, overall equivalent bending stiffness, and full-field wave incident potential, solve the pre-established equivalent integral equation to obtain the scattering potential of each node.

[0035] In an optional embodiment, the water surface photovoltaic is equivalent to an elastic plate with zero immersion depth. The wave flow field is characterized based on potential flow theory, and the flow field is correlated with structural mechanics using the plate Green's function method, thus constructing an equivalent integral equation. The scattering potential of each node is further obtained by solving the equivalent integral equation, where each node is a numerical computation node discretely arranged on the bounding boundary of the computational domain.

[0036] Furthermore, an equivalent integral equation is established within the computational domain, as shown in equation (4): (4) in, The bottom surface is a flexible plate. For free water surface, For the upstream far facade, For the downstream far facade, express The scattering potential at that point is the quantity to be solved.

[0037] The fixed angle coefficient is calculated using the following formula (5): (5) Let Green's function be given by equation (6) below: (6)

[0038] For the board Green's function, the analytical expression (7) is as follows: (7) In the formula:

[0039]

[0040]

[0041]

[0042] Where i is an imaginary number, and These are undetermined coefficients related to reflection and transmission. and For a process function, it can be written as: and .

[0043] The scattering potential at each node can be obtained by discretizing and solving the established integral equation using the higher-order boundary element method. .

[0044] Step S203: Calculate the full-field displacement distribution of the elastic plate based on the full-field wave incident potential and the scattering potential of each node.

[0045] In an optional embodiment, the total wave velocity potential is obtained by superimposing the incident wave potential across the entire field with the scattered potential at each node; based on the potential flow theory and the elastic plate mechanical model, the total wave velocity potential is converted into displacement values ​​at each position across the entire elastic plate, thus obtaining the displacement distribution of the elastic plate across the entire field.

[0046] Step S204: Based on the structural parameter data, the full-field displacement distribution of the elastic plate is converted into the full-field displacement distribution of the water surface photovoltaic using interpolation.

[0047] In an optional embodiment, the discrete calculation node positions of the equivalent elastic plate model do not coincide with the physical positions of each unit of the actual water surface photovoltaic system. Therefore, by using the position information of each photovoltaic unit in the structural parameter data, the displacement values ​​of each position of the actual water surface photovoltaic system are calculated from the displacement data of the elastic plate using the interpolation method, thus completing the mapping from the model displacement to the actual structural displacement and obtaining the full-field displacement distribution of the water surface photovoltaic system.

[0048] Step S205: Based on the full-field displacement distribution of the water surface photovoltaic, determine the maximum relative rotation angle of each adjacent unit pair. If the maximum relative rotation angle exceeds the preset safety threshold, issue an early warning message.

[0049] In an optional embodiment, displacement data of adjacent unit pairs are extracted from the full-field displacement distribution of the photovoltaic system on the water surface, the maximum relative rotation angle of each adjacent unit pair is determined, and the maximum relative rotation angle is further compared with a preset safety threshold. If the threshold is exceeded, an early warning message is triggered.

[0050] The real-time monitoring method for the hydrodynamic response of flexible spliced ​​photovoltaic systems provided in this embodiment acquires basic parameters of the photovoltaic structure, water environment, and incident waves, providing complete and realistic operating condition input for hydrodynamic response calculation. The flexible spliced ​​photovoltaic system is equivalent to an elastic plate with zero immersion depth. An equivalent integral equation is constructed using potential flow theory and the plate Green's function method to solve for the scattering potential at each node. This eliminates the need for densely deployed displacement sensors on-site, effectively reducing monitoring hardware investment and maintenance costs. Furthermore, it accurately considers the diffraction and radiation flow field changes caused by wave-structure coupling, effectively improving the accuracy of wave flow field solutions. Further, it superimposes... By obtaining the true total wave flow field from the incident and scattered potentials and solving for the full-field displacement of the elastic plate, the overall deformation response of the equivalent structure under wave load can be accurately characterized. Through interpolation, the displacement of the elastic plate model is accurately mapped to the actual photovoltaic structure displacement, effectively eliminating calculation deviations caused by mismatch between numerical nodes and actual structural positions, ensuring that the displacement results closely match the actual structural deformation state. Finally, based on the true full-field displacement, the maximum relative rotation angle of adjacent photovoltaic units is quantified and a threshold judgment and early warning are performed, which can accurately identify the bending deformation risk of the photovoltaic splicing structure and achieve reliable real-time monitoring based on the actual structural hydrodynamic response.

[0051] In some optional implementations, the real-time monitoring method for the hydrodynamic response of flexible spliced ​​water surface photovoltaic systems includes: The overall equivalent bending stiffness is obtained by analyzing two photovoltaic structural units connected end-to-end in a water-surface photovoltaic system.

[0052] In one optional embodiment, the overall bending characteristics of the flexible, modular floating photovoltaic system cannot be directly characterized by the stiffness of a single photovoltaic unit. Instead, it is necessary to treat it as an equivalent elastic thin plate to describe the structural bending deformation through a mechanical model and subsequent fluid-structure interaction calculations, requiring the solution of the overall equivalent bending stiffness. Specifically, any two photovoltaic structural units connected end-to-end in the floating photovoltaic system constitute the smallest mechanical analysis unit, including the unit body and flexible connectors. This unit can fully reflect the deformation characteristics of the modular structure under bending. Based on the mechanical response analysis of this unit, the overall equivalent bending stiffness, characterizing the overall bending resistance of the floating photovoltaic system, can be obtained.

[0053] The real-time monitoring method for the hydrodynamic response of flexible spliced ​​photovoltaic systems provided in this embodiment obtains the overall equivalent bending stiffness by analyzing two photovoltaic structural units connected end to end. This method can closely match the actual splicing stress characteristics of flexible spliced ​​photovoltaic systems, avoid deviations in stiffness parameter values, and provide accurate basic mechanical parameters for hydrodynamic response calculation.

[0054] In some alternative implementations, the overall equivalent bending stiffness is obtained by analyzing two photovoltaic structural units connected end-to-end in a surface photovoltaic system, including: Step a1: Based on the structural parameter data, select two photovoltaic structural units that are connected end to end as the model analysis units.

[0055] In an optional embodiment, the arrangement coordinates, unit length and array splicing order of each photovoltaic structural unit are extracted from the structural parameter data. Based on the docking relationship of the unit endpoint coordinates, two consecutive photovoltaic structural units that are directly connected end to end along the arrangement direction are selected.

[0056] Step a2: The model analysis unit is scaled down using a preset geometric scale. The bending moment performance of the scaled-down model analysis unit is then tested to obtain the relative rotation angle between the two photovoltaic structural units in the model analysis unit.

[0057] In an optional embodiment, the geometric dimensions of the model analysis unit are reduced according to a preset geometric scale, a bending moment load is applied to the scaled-down model, the relative rotation angle of the two photovoltaic structural units at the splicing position is measured, and deformation data under bending conditions is obtained.

[0058] Step a3: Calculate the equivalent bending stiffness of the model based on the applied bending moment value, the center distance of the model analysis unit, and the relative rotation angle.

[0059] In an optional embodiment, based on the correspondence between bending moment, deformation, and bending stiffness in mechanics of materials, the equivalent bending stiffness of the scaled model is calculated using the measured applied bending moment value, the center distance of the model, and the relative rotation angle. Specifically, two flexible, interlocking photovoltaic structural units connected end-to-end are analyzed. First, the structure is laid flat, and then bending moments are applied at the beginning and end boundaries. Monitor the relative rotation angle of the two units. Finally, the equivalent bending stiffness is calculated using the following formula (8). : (8) Step a4: Convert the model's equivalent bending stiffness into the overall equivalent bending stiffness of the water surface photovoltaic system according to the preset geometric scale.

[0060] In an optional embodiment, the equivalent bending stiffness of the scaled-down model is converted into the overall equivalent bending stiffness at the actual size based on a preset geometric scale similarity conversion relationship. Overall equivalent bending stiffness EI It can be calculated using the following formula (9): (9) In the formula, The preset geometric scale.

[0061] The real-time monitoring method for the hydrodynamic response of flexible spliced ​​photovoltaic structures provided in this embodiment selects a pair of interconnected photovoltaic structural units as the analysis model, which can fully cover the bending deformation characteristics of the photovoltaic unit body and the flexible spliced ​​structure, ensuring that the stiffness analysis object closely matches the actual stress conditions. By conducting bending moment performance tests according to a preset geometric scale scale model, the problems of high difficulty, high cost, and difficulty in reproducing the working conditions of full-size structural tests can be avoided. Furthermore, the equivalent bending stiffness of the model is solved based on the measured bending moment value, unit center distance, and relative rotation angle, and the authenticity of the stiffness calculation is ensured by relying on real mechanical deformation data. Then, the overall equivalent bending stiffness of the prototype structure is obtained by converting the geometric scale parameters, accurately restoring the overall bending performance of the actual photovoltaic structure, and effectively solving the problem that the overall stiffness of flexible spliced ​​photovoltaic structures is difficult to directly measure.

[0062] In some optional implementations, the full-field displacement distribution of the elastic plate is calculated based on the full-field wave incident potential and the scattering potential at each node, including: Step b1: Summing the total wave velocity potential based on the incident wave potential across the entire field and the scattering potential at each node.

[0063] In an optional embodiment, in the potential flow theory, the flow field satisfies the principle of linear superposition. The superposition of the incident wave flow field and the scattered additional flow field is the actual wave flow field on the structure surface, and the total wave velocity potential can be obtained by directly summing them.

[0064] Step b2: Calculate the distributed wave pressure based on the total wave velocity potential, fluid density, and wave circular frequency.

[0065] In an alternative embodiment, in linear potential flow theory, the relationship between wave dynamic pressure and velocity potential is described by Bernoulli's equation. The distributed wave pressure on the bottom surface of the elastic plate can be calculated using fluid density, wave circular frequency, and total wave velocity potential.

[0066] Step b3: Combining the plate Green's function and the overall equivalent bending stiffness, the distributed wave pressure is integrally calculated within the computational domain of the elastic plate to obtain the full-field displacement distribution of the elastic plate.

[0067] In an optional embodiment, the load-displacement response relationship is established using the plate Green's function, and the bending resistance of the structure is characterized by the overall equivalent bending stiffness. The full-field displacement distribution of the elastic plate is obtained by integrating the distributed wave pressure on the bottom surface of the elastic plate.

[0068] Specifically, nodes x The displacement at point 0 is calculated using the following formula (10): (10) In the formula, The physical meaning of the Green's function for a plate is that at position x Apply a unit concentrated force at the location x The displacement response generated at point 0 The distribution of the wave incident potential across the entire field on the bottom surface of the elastic plate. The distribution of the scattering potential at each node on the bottom surface of the elastic plate. The calculation domain is the bottom surface of the elastic plate.

[0069] The real-time monitoring method for the hydrodynamic response of flexible spliced ​​photovoltaic systems on water surfaces provided in this embodiment calculates the total wave velocity potential by superimposing the incident and scattered potentials. This takes into account the influence of the original incident waves as well as the diffracted and radiated waves caused by structural obstruction and motion, thus fully restoring the true flow field distribution on the structural surface. Furthermore, the velocity potential is converted into distributed wave pressure, establishing a computational correlation between the wave flow field and the structural stress, providing a practical load basis for deformation analysis. By utilizing the plate Green's function to map the load-displacement response law and combining it with the integral solution of the overall bending stiffness in the computational domain, the displacement values ​​at each location are accurately obtained, effectively improving the reliability of the equivalent plate displacement calculation results.

[0070] In some optional implementations, based on structural parameter data, the full-field displacement distribution of the elastic plate is converted into the full-field displacement distribution of the water surface photovoltaic system using interpolation, including: Step c1: Extract the abscissa of the unit to be determined in the water surface photovoltaic, and determine the coordinates of two adjacent nodes that are close to the abscissa of the unit to be determined in the computational domain.

[0071] In an optional embodiment, the discrete calculation node positions of the equivalent elastic plate model do not coincide with the physical positions of the actual photovoltaic unit to be calculated on the water surface. Therefore, it is necessary to select the two closest nodes in the calculation domain nodes according to the horizontal coordinate of the unit to be calculated, as the basic data points for subsequent interpolation calculations.

[0072] Step c2: Based on the x-coordinate of the element to be determined and the coordinates of its adjacent nodes, the displacement of the element to be determined is calculated using interpolation.

[0073] In an optional embodiment, the displacement value of the corresponding position of the unit to be determined is calculated by interpolation by combining the horizontal coordinate distance between the unit to be determined and the adjacent nodes, thereby realizing the mapping from the node displacement of the elastic plate model to the actual photovoltaic unit displacement.

[0074] Step c3: Traverse all elements to be solved and solve for the corresponding displacements to obtain the full-field displacement distribution of the photovoltaic system on the water surface.

[0075] In an optional embodiment, the operations of extracting nodes and interpolating displacements are repeated for all the units to be determined in the water surface photovoltaic array to obtain the displacement value of each photovoltaic structural unit. The displacement data of all units are then integrated to obtain the full-field displacement distribution of the water surface photovoltaic.

[0076] The real-time monitoring method for the hydrodynamic response of flexible spliced ​​photovoltaic arrays provided in this embodiment matches adjacent calculation nodes based on the actual photovoltaic unit coordinates. It uses interpolation to calculate the displacement of the physical units based on known node displacements, compensating for calculation deviations caused by misalignment between numerical nodes and actual structural points, ensuring that the displacement values ​​closely match the actual deformation of the structure. Displacement calculations are performed on all units one by one, and the data is integrated to fully present the unique distribution of the entire photovoltaic array.

[0077] In some optional implementations, the maximum relative rotation angle between adjacent unit pairs is calculated based on the full-field displacement distribution of the water surface photovoltaic system. If the maximum relative rotation angle exceeds a preset safety threshold, a warning message is issued, including: Step d1: Divide two adjacent photovoltaic structural units in the water surface photovoltaic into adjacent unit pairs. Based on the full-field displacement distribution of the water surface photovoltaic, extract the displacement values ​​corresponding to both ends of each photovoltaic structural unit in the adjacent unit pairs.

[0078] In an optional embodiment, based on the arrangement of the water surface photovoltaic array, all adjacent unit pairs consisting of two directly connected photovoltaic structural units are determined; from the overall displacement distribution of the water surface photovoltaic array, displacement data at the two ends of each pair of adjacent units are extracted. Specifically, based on the overall displacement distribution of the water surface photovoltaic array, combined with the arrangement position and end coordinate information of the photovoltaic structural units, the first and last end points of each pair of adjacent units are first determined, and then the displacement values ​​corresponding to each end are retrieved one by one from the displacement distribution data according to the coordinates of the points, thereby obtaining the displacement values ​​at both ends of all photovoltaic structural units.

[0079] Step d2: Based on the displacement values ​​at both ends of each photovoltaic structural unit in the adjacent unit pair, calculate the end displacement difference at both ends of each photovoltaic structural unit.

[0080] In an optional embodiment, for each photovoltaic structural unit in each adjacent unit pair, the difference between the displacement values ​​at its two ends is used to obtain the end displacement difference of the unit itself.

[0081] Step d3: Combine the end displacement difference at both ends of each photovoltaic structural unit with the length of the photovoltaic structural unit to calculate the relative rotation angle of adjacent unit pairs.

[0082] In an optional embodiment, the rotation angle of a single element is derived using the ratio of the end displacement difference of a single element to the element length; combined with the rotation angles of two adjacent elements, the relative rotation angle between them at the splicing position is calculated. Specifically, the relative rotation angle can be calculated by the following formula (11): (11) In the formula, , These refer to the difference in end displacement between two adjacent photovoltaic structural units. l Length of the photovoltaic structural unit.

[0083] Step d4: Traverse all adjacent cell pairs, calculate the corresponding relative rotation angles, and filter out the largest relative rotation angle.

[0084] In an optional embodiment, the above relative rotation angle calculation process is repeated for all adjacent photovoltaic structural unit pairs in the water surface photovoltaic array to obtain the relative rotation angle of each pair of units. All calculation results are compared, and the maximum value is selected.

[0085] Step d5: If the maximum relative angle is greater than the preset safety threshold, a warning message is issued.

[0086] In an optional embodiment, the maximum relative turning angle obtained through screening is compared with a preset safety threshold. When the value exceeds the safety threshold, an early warning message is generated and output. The early warning message includes the type of the warning event, the identifier of the adjacent unit pair exceeding the limit, and the duration of the exceedance, etc., for staff to quickly locate and handle the anomaly.

[0087] The real-time monitoring method for the hydrodynamic response of flexible spliced ​​water surface photovoltaic arrays provided in this embodiment divides the array into multiple adjacent unit pairs based on the array arrangement of the water surface photovoltaic arrays, and extracts the deformation data of the corresponding units using the full-field displacement distribution. By calculating the end displacement difference of each unit in the adjacent unit pairs, the degree of bending deformation of the individual components is objectively reflected. Combined with the unit specification parameters, the relative rotation angle is calculated, which can quantify the actual bending amplitude at the splicing position. By traversing all adjacent units to complete the calculation and filtering the maximum relative rotation angle, the status of all parts of the array can be checked in a comprehensive manner, avoiding the problem of missing risk points. The maximum relative rotation angle is compared with a preset safety threshold to determine the quantified deformation index and achieve accurate identification of abnormal working conditions.

[0088] This embodiment also provides a flexible, modular, real-time monitoring device for the hydrodynamic response of photovoltaic systems on a water surface. This device is used to implement the above embodiments and preferred embodiments, and details already described will not be repeated. As used below, the term "module" can refer to a combination of software and / or hardware that performs a predetermined function. Although the devices described in the following embodiments are preferably implemented in software, hardware implementations, or combinations of software and hardware, are also possible and contemplated.

[0089] In one specific embodiment, a flexible, modular photovoltaic system has a total length of 60m along the wave propagation direction, a unit length of 1m, an average height of 0.2m, a unit mass of 6000kg / m, and a water depth of 20m. The specific process for monitoring the hydrodynamic response of this flexible, modular photovoltaic system is as follows: Step 1: Determine the basic environmental and structural parameters.

[0090] The environmental parameters that need to be determined include: water depth H = 20m, fluid density. ; The structural parameters to be determined include: average foundation height d = 0.2m, total foundation length Le = 60m, unit center distance l = 1m, and average density. Calculated using the following formula:

[0091] Determining the overall equivalent bending stiffness of the flexible modular photovoltaic foundation: Two flexible modular photovoltaic structural units connected end-to-end are analyzed. Considering the limited bending moment capacity under laboratory loading, a geometric scale is adopted. For testing a 1 / 20 scale structural model with a center-to-center distance of l' = 0.05m between model elements, the model was first laid flat. Then, a bending moment M' of 1250N was applied to the beginning and end boundaries of the model, and the relative rotation angle between the two element models was monitored. Approximately 0.02 rad (1.146°), the equivalent bending stiffness EI' of the model is finally calculated using the following formula: , The overall equivalent bending stiffness of the actual flexible splicing photovoltaic foundation, obtained through scale conversion, is:

[0092] Furthermore, the wave height and period data of the incident waves are acquired in real time. The real-time wave height is obtained through a wave height meter. H S =1m, real-time period is T=5s, wave amplitude A= H S / 2=0.5m, the wave circular frequency and wave number are determined by the following formula:

[0093] The wave number k is calculated iteratively using the following formula:

[0094] The wave number k = 0.162 can be obtained.

[0095] Step 2: Establish an equivalent analysis model of the flexible spliced ​​photovoltaic foundation using an elastic plate. A thin, water-free elastic plate is used to equivalently replace the flexible spliced ​​photovoltaic structure. The thickness of the elastic plate is d = 0.2m, the length is Le = 60m, and the bending stiffness of the elastic plate is... The density of the elastic plate is ; The analysis is based on potential flow theory and the plate Green's function method. First, in the computational domain... An equivalent integral equation is established within the equation. The specific calculation formulas can be found in formulas (1) to (7) above. The scattering potential of each node can be obtained by discretizing the established integral equation using the higher-order boundary element method. .

[0096] The values ​​of the real and imaginary parts of the scattering potential on the elastic plate are shown in [reference]. Figure 3 and Figure 4 The scattering potential calculation results for some nodes are shown below:

[0097] Step 3: Calculate the displacement distribution of the elastic plate across the entire field under wave action.

[0098] Given the current real-time wave parameters A, k, Afterwards, the incident and scattered wave velocities of the elastic plate can be determined. Then, the displacement distribution of the elastic plate across the entire field can be calculated using boundary conditions. The specific calculation formula is given in formula (10) above. The displacement distribution of the elastic plate in this example is shown in [example missing]. Figure 5 The numerical calculation results of the vertical displacement amplitude of some nodes are shown below:

[0099] Step 4: Calculate the full-field displacement distribution of the flexible spliced ​​water surface photovoltaic under wave action.

[0100] Determine the x-coordinate of the element to be determined in the water surface photovoltaic system, for example, xg = 12.5. Search for the two nodes (12.3, 0.072) and (12.6, 0.074) in the elastic plate that are closest to xg. Then x1 = 12.3, z1 = 0.072, x2 = 12.6, z2 = 0.074. Use interpolation to obtain the displacement zg of the element to be determined in the water surface photovoltaic system.

[0101] Therefore, the displacement amplitude of any unit on the flexible spliced ​​floating photovoltaic system under wave action can be obtained.

[0102] Step 5: Calculate and filter out the maximum relative angle between the floating blocks, compare it with the preset safety threshold, and determine whether to issue a warning signal at the current moment.

[0103] Calculate the relative rotation angle between the floats using the water surface photovoltaic displacement and the float length l=1m. :

[0104] in, , These refer to the difference in end displacement between two adjacent floats.

[0105] This example calculates and filters out the maximum relative rotation angle between the floats. .

[0106] Furthermore, physical tests on the bending failure of the connectors determined the ultimate relative rotation angle to be 1.6°, thus setting a preset safety threshold for the relative rotation angle of the float. = 0.8°, because Therefore, no warning signal will be issued at this time.

[0107] This embodiment provides a flexible, modular, real-time monitoring device for the hydrodynamic response of photovoltaic systems on a water surface, such as... Figure 6 As shown, it includes: Data acquisition module 301 is used to acquire environmental parameter data, structural parameter data, overall equivalent bending stiffness and full-field wave incident potential of water surface photovoltaic. Water surface photovoltaic includes multiple photovoltaic structural units. The scattering potential solution module 302 is used to solve the pre-established equivalent integral equation to obtain the scattering potential of each node based on environmental parameter data, structural parameter data, overall equivalent bending stiffness and full-field wave incident potential. The nodes are numerical calculation nodes discretely arranged on the enclosing boundary surface of the computational domain. The equivalent integral equation is constructed based on potential flow theory and plate Green's function method after equating the water surface photovoltaic with an elastic plate with zero immersion depth. The elastic plate displacement calculation module 303 is used to calculate the full-field displacement distribution of the elastic plate based on the full-field wave incident potential and the scattering potential of each node. The water surface photovoltaic displacement calculation module 304 is used to convert the full-field displacement distribution of the elastic plate into the full-field displacement distribution of the water surface photovoltaic by interpolation based on the structural parameter data. The abnormal early warning module 305 is used to determine the maximum relative rotation angle of each adjacent unit pair based on the full-field displacement distribution of the water surface photovoltaic. If the maximum relative rotation angle exceeds the preset safety threshold, an early warning message will be issued.

[0108] The real-time monitoring device for the flexible spliced ​​photovoltaic hydrodynamic response provided in this embodiment of the invention can execute the real-time monitoring method for the flexible spliced ​​photovoltaic hydrodynamic response provided in any embodiment of the invention, and has the corresponding functional modules and beneficial effects for executing the method. Further functional descriptions of the above modules and units are the same as in the corresponding embodiments described above, and will not be repeated here.

[0109] Figure 7 This is a schematic diagram of the structure of an electronic device provided in an embodiment of the present invention.

[0110] The following is a detailed reference. Figure 7 This diagram illustrates a structural schematic suitable for implementing an electronic device according to embodiments of the present invention. The electronic device may include a processor (e.g., a central processing unit, graphics processor, etc.) 401, which can perform various appropriate actions and processes according to a program stored in read-only memory (ROM) 402 or a program loaded from memory 408 into random access memory (RAM) 403. The RAM 403 also stores various programs and data required for the operation of the electronic device. The processor 401, ROM 402, and RAM 403 are interconnected via a bus 404. An input / output (I / O) interface 405 is also connected to the bus 404.

[0111] Typically, the following devices can be connected to I / O interface 405: input devices 406 including, for example, touchscreens, touchpads, keyboards, mice, cameras, microphones, accelerometers, gyroscopes, etc.; output devices 407 including, for example, liquid crystal displays (LCDs), speakers, vibrators, etc.; memory devices 408 including, for example, magnetic tapes, hard disks, etc.; and communication devices 409. Communication device 409 allows electronic devices to communicate wirelessly or wiredly with other devices to exchange data. Although Figure 7 Electronic devices with various devices are shown, but it should be understood that it is not required to implement or have all of the devices shown, and more or fewer devices may be implemented or have instead.

[0112] In particular, according to embodiments of the present invention, the processes described above with reference to the flowcharts can be implemented as computer software programs. For example, embodiments of the present invention include a computer program product comprising a computer program carried on a non-transitory computer-readable medium, the computer program containing program code for performing the methods shown in the flowcharts. In such embodiments, the computer program can be downloaded and installed from a network via a communication device 409, or installed from a memory 408, or installed from a ROM 402. When the computer program is executed by the processor 401, it performs the functions defined in the real-time monitoring method for the flexible spliced ​​surface photovoltaic hydrodynamic response of the embodiments of the present invention.

[0113] Figure 7 The electronic device shown is merely an example and should not be construed as limiting the functionality and scope of use of the embodiments of the present invention.

[0114] This invention also provides a computer-readable storage medium. The methods described above according to embodiments of the invention can be implemented in hardware or firmware, or implemented as computer code that can be recorded on a storage medium, or implemented as computer code downloaded via a network and originally stored on a remote storage medium or a non-transitory machine-readable storage medium and then stored on a local storage medium. Thus, the methods described herein can be processed by software stored on a storage medium using a general-purpose computer, a dedicated processor, or programmable or dedicated hardware. The storage medium can be a magnetic disk, optical disk, read-only memory, random access memory, flash memory, hard disk, or solid-state drive, etc.; further, the storage medium can also include combinations of the above types of memory. It is understood that the computer, processor, microprocessor controller, or programmable hardware includes storage components capable of storing or receiving software or computer code. When the software or computer code is accessed and executed by the computer, processor, or hardware, the real-time monitoring method for the flexible spliced ​​photovoltaic hydrodynamic response shown in the above embodiments is implemented.

[0115] A portion of this invention can be applied as a computer program product, such as computer program instructions, which, when executed by a computer, can invoke or provide the methods and / or technical solutions according to the invention through the operation of the computer. Those skilled in the art will understand that the forms in which computer program instructions exist in a computer-readable medium include, but are not limited to, source files, executable files, installation package files, etc. Correspondingly, the ways in which computer program instructions are executed by a computer include, but are not limited to: the computer directly executing the instructions, or the computer compiling the instructions and then executing the corresponding compiled program, or the computer reading and executing the instructions, or the computer reading and installing the instructions and then executing the corresponding installed program. Here, the computer-readable medium can be any available computer-readable storage medium or communication medium accessible to a computer.

[0116] Although embodiments of the invention have been described in conjunction with the accompanying drawings, those skilled in the art can make various modifications and variations without departing from the spirit and scope of the invention, and such modifications and variations all fall within the scope defined by the appended claims.

Claims

1. A real-time monitoring method for the hydrodynamic response of a flexible, modular photovoltaic system on a water surface, characterized in that, The method includes: The environmental parameter data, structural parameter data, overall equivalent bending stiffness and full-field wave incident potential of the water surface photovoltaic are obtained. The water surface photovoltaic includes multiple photovoltaic structural units. Based on the environmental parameter data, structural parameter data, overall equivalent bending stiffness, and full-field wave incident potential, the scattering potential of each node is obtained by solving the pre-established equivalent integral equation. The nodes are numerical calculation nodes discretely arranged on the enclosing boundary surface of the computational domain. The equivalent integral equation is constructed based on potential flow theory and the plate Green's function method after equating the water surface photovoltaic with an elastic plate with zero immersion depth. The equivalent integral equation is as follows: in, The bottom surface is a flexible plate. For free water surface, For the upstream far facade, For the downstream far facade, express The scattering potential at that point is the quantity to be solved. For the plate Green's function; The full-field displacement distribution of the elastic plate is calculated based on the full-field wave incident potential and the scattering potential of each node. Based on the structural parameter data, the full-field displacement distribution of the elastic plate is converted into the full-field displacement distribution of the water surface photovoltaic system using interpolation. Based on the full-field displacement distribution of the water surface photovoltaic, the maximum relative rotation angle of each adjacent unit pair is determined. If the maximum relative rotation angle exceeds the preset safety threshold, an early warning message is issued. Based on the full-field displacement distribution calculation of water surface photovoltaics, the maximum relative rotation angle between adjacent unit pairs is calculated. If the maximum relative rotation angle exceeds a preset safety threshold, an early warning message is issued, including: The two adjacent photovoltaic structural units in the water surface photovoltaic system are divided into adjacent unit pairs. Based on the full-field displacement distribution of the water surface photovoltaic system, the displacement values ​​corresponding to the two ends of each photovoltaic structural unit in the adjacent unit pair are extracted. Based on the displacement values ​​corresponding to the two ends of each photovoltaic structural unit in the adjacent unit pair, the end displacement difference corresponding to the two ends of each photovoltaic structural unit is calculated. Combining the end displacement difference corresponding to the two ends of each photovoltaic structural unit with the length of the photovoltaic structural unit, the relative rotation angle of the adjacent unit pair is calculated. All adjacent unit pairs are traversed to calculate the corresponding relative rotation angle and the maximum relative rotation angle is selected. If the maximum relative rotation angle is greater than a preset safety threshold, an early warning information is issued.

2. The method according to claim 1, characterized in that, The method includes: The overall equivalent bending stiffness is obtained by analyzing two photovoltaic structural units connected end-to-end in the water surface photovoltaic system.

3. The method according to claim 2, characterized in that, The overall equivalent bending stiffness is obtained by analyzing two photovoltaic structural units connected end-to-end in the water surface photovoltaic system, including: Based on the structural parameter data, two photovoltaic structural units connected end to end are selected as model analysis units; The model analysis unit is scaled down using a preset geometric scale, and the bending moment performance of the scaled model analysis unit is tested to obtain the relative rotation angle between the two photovoltaic structural units in the model analysis unit. The equivalent bending stiffness of the model is calculated based on the applied bending moment value, the center distance of the model analysis unit, and the relative rotation angle. The equivalent bending stiffness of the model is converted into the overall equivalent bending stiffness of the water surface photovoltaic system according to the preset geometric scale.

4. The method according to claim 1, characterized in that, The full-field displacement distribution of the elastic plate is calculated based on the full-field wave incident potential and the scattering potential at each node, including: The total wave velocity potential is obtained by summing the incident wave potential across the entire field and the scattering potential at each node. Based on the total wave velocity potential, fluid density, and wave circular frequency, calculate the distributed wave pressure; By combining the plate's Green's function with the overall equivalent bending stiffness, the distributed wave pressure is integrally calculated within the computational domain of the elastic plate to obtain the full-field displacement distribution of the elastic plate.

5. The method according to claim 1, characterized in that, Based on the structural parameter data, the full-field displacement distribution of the elastic plate is converted into the full-field displacement distribution of the water surface photovoltaic system using interpolation, including: Extract the abscissa of the unit to be determined in the water surface photovoltaic, and determine the coordinates of two adjacent nodes that are close to the abscissa of the unit to be determined in the computational domain; The displacement of the element to be determined is calculated by interpolation based on the x-coordinate of the element to be determined and the coordinates of its adjacent nodes. By traversing all the elements to be solved and solving for the corresponding displacements, the full-field displacement distribution of the photovoltaic system on the water surface can be obtained.

6. A real-time monitoring device for the hydrodynamic response of a flexible, modular photovoltaic system on a water surface, characterized in that, The device includes: The data acquisition module is used to acquire environmental parameter data, structural parameter data, overall equivalent bending stiffness and full-field wave incident potential of the water surface photovoltaic system. The water surface photovoltaic system includes multiple photovoltaic structural units. The scattering potential solution module is used to solve a pre-established equivalent integral equation to obtain the scattering potential of each node based on the environmental parameter data, structural parameter data, overall equivalent bending stiffness, and full-field wave incident potential. The nodes are numerical calculation nodes discretely arranged on the bounding boundary of the computational domain. The equivalent integral equation is constructed based on potential flow theory and the plate Green's function method after equating the water surface photovoltaic to an elastic plate with zero immersion depth. The equivalent integral equation is as follows: in, The bottom surface is a flexible plate. For free water surface, For the upstream far facade, For the downstream far facade, express The scattering potential at that point is the quantity to be solved. For the plate Green's function; The elastic plate displacement calculation module is used to calculate the full-field displacement distribution of the elastic plate based on the full-field wave incident potential and the scattering potential of each node. The water surface photovoltaic displacement calculation module is used to convert the full-field displacement distribution of the elastic plate into the full-field displacement distribution of the water surface photovoltaic based on the structural parameter data and by interpolation. An anomaly warning module is used to calculate the maximum relative rotation angle between adjacent unit pairs based on the full-field displacement distribution of the water surface photovoltaic system. If the maximum relative rotation angle exceeds a preset safety threshold, an early warning message is issued. Based on the full-field displacement distribution calculation of water surface photovoltaics, the maximum relative rotation angle between adjacent unit pairs is calculated. If the maximum relative rotation angle exceeds a preset safety threshold, an early warning message is issued, including: The two adjacent photovoltaic structural units in the water surface photovoltaic system are divided into adjacent unit pairs. Based on the full-field displacement distribution of the water surface photovoltaic system, the displacement values ​​corresponding to the two ends of each photovoltaic structural unit in the adjacent unit pair are extracted. Based on the displacement values ​​corresponding to the two ends of each photovoltaic structural unit in the adjacent unit pair, the end displacement difference corresponding to the two ends of each photovoltaic structural unit is calculated. Combining the end displacement difference corresponding to the two ends of each photovoltaic structural unit with the length of the photovoltaic structural unit, the relative rotation angle of the adjacent unit pair is calculated. All adjacent unit pairs are traversed to calculate the corresponding relative rotation angle and the maximum relative rotation angle is selected. If the maximum relative rotation angle is greater than a preset safety threshold, an early warning information is issued.

7. An electronic device, characterized in that, include: The system includes a memory and a processor, which are interconnected. The memory stores computer instructions, and the processor executes the computer instructions to perform the real-time monitoring method for the hydrodynamic response of the flexible spliced ​​water surface photovoltaic system as described in any one of claims 1 to 5.

8. A computer-readable storage medium, characterized in that, The computer-readable storage medium stores computer instructions for causing the computer to execute the real-time monitoring method for the flexible spliced ​​water surface photovoltaic hydrodynamic response as described in any one of claims 1 to 5.

9. A computer program product, characterized in that, The method includes computer instructions for causing a computer to execute the real-time monitoring method for the hydrodynamic response of a flexible spliced ​​water surface photovoltaic system as described in any one of claims 1 to 5.

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