WO2023045244A1 - Offshore wind turbine support structure optimization design method and system based on proxy model - Google Patents

Offshore wind turbine support structure optimization design method and system based on proxy model Download PDF

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WO2023045244A1
WO2023045244A1 PCT/CN2022/077804 CN2022077804W WO2023045244A1 WO 2023045244 A1 WO2023045244 A1 WO 2023045244A1 CN 2022077804 W CN2022077804 W CN 2022077804W WO 2023045244 A1 WO2023045244 A1 WO 2023045244A1
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design
tower
support structure
offshore wind
foundation
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French (fr)
Chinese (zh)
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周昳鸣
李卫东
刘鑫
闫姝
张波
陈新明
唐巍
郭雨桐
孙曼洁
吕晓静
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中国华能集团清洁能源技术研究院有限公司
华能海上风电科学技术研究有限公司
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Publication of WO2023045244A1 publication Critical patent/WO2023045244A1/en

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    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F30/00Computer-aided design [CAD]
    • G06F30/10Geometric CAD
    • G06F30/17Mechanical parametric or variational design
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F30/00Computer-aided design [CAD]
    • G06F30/20Design optimisation, verification or simulation
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F2113/00Details relating to the application field
    • G06F2113/06Wind turbines or wind farms
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F2119/00Details relating to the type or aim of the analysis or the optimisation
    • G06F2119/14Force analysis or force optimisation, e.g. static or dynamic forces
    • 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
    • Y02EREDUCTION OF GREENHOUSE GAS [GHG] EMISSIONS, RELATED TO ENERGY GENERATION, TRANSMISSION OR DISTRIBUTION
    • Y02E10/00Energy generation through renewable energy sources
    • Y02E10/70Wind energy
    • Y02E10/72Wind turbines with rotation axis in wind direction

Definitions

  • the invention belongs to the technical field of support structure design for offshore wind power generating sets, and in particular relates to an optimization design method and system for support structures of offshore wind turbines based on an agent model.
  • the support structure of offshore wind turbines includes two parts: towers and foundations: the cost of wind turbine towers accounts for about 8% of the investment cost of offshore wind power projects, and the foundation of offshore wind turbines mainly includes single piles, jackets, high pile caps, etc. Different foundation forms generally account for about 14% of the investment cost of offshore wind power projects, that is, the cost of the overall support structure accounts for about 22% of the total construction cost. Therefore, reducing the support structure cost of offshore wind power can effectively reduce the levelized cost of electricity of offshore wind power.
  • domestic offshore wind power projects usually adopt a step-by-step iterative design method when bidding.
  • the wind turbine manufacturer provides the tower design and guarantees the tower engineering quantity.
  • the tower weight will be ranked and scored; details after bidding
  • the wind turbine manufacturer and the design institute will optimize the design of the tower and foundation respectively.
  • the wind turbine manufacturer will give the lightest local optimal design scheme of the tower as much as possible, but the lightest design of the tower is often not the global optimal design scheme of the lightest overall support structure.
  • Existing studies often only optimize the design of a part of the overall support structure (tower or foundation), so the results obtained have certain limitations.
  • the supporting structure of offshore wind power is subject to the combined effects of various environmental loads such as wind, waves, and currents.
  • Most fan manufacturers in the industry use GH-Bladed for integrated modeling and load calculation.
  • Integrated modeling includes environmental condition input and overall support structure model building.
  • environmental conditions include wind resource parameters, ocean hydrological parameters, engineering geological parameters and other special working conditions (sea ice, earthquake, typhoon, etc.); collectively referred to as infrastructure).
  • the anisotropic effect of wind and waves is considered in the load calculation.
  • various working conditions such as normal power generation, emergency shutdown, start-up, normal shutdown, idling, and maintenance need to be considered.
  • the joint distribution of wind and waves it can be divided into more than 20,000 working conditions.
  • the ultimate strength check includes the check of the tower shell, the tower flange, the door opening and the sea cable hole, the anchor bolt cage and other local structures;
  • the buckling strength check includes the check of the tower shell, the door opening and the sea cable hole and other structures ;
  • Fatigue strength check includes the check of tower shell welds, flange connection bolts, door frames and sea cable holes, top flanges, anchor bolt cages and other structures.
  • the design of the main body of the foundation structure mainly includes the analysis of the strength and bearing capacity under extreme sea conditions, the analysis of normal service conditions, the analysis of ship collisions, and the analysis of earthquake conditions.
  • the extreme combination of waves, ocean currents and wind turbine operating loads under the most unfavorable water level that may occur is considered.
  • Fatigue strength analysis uses S-N curve and Miner linear cumulative damage theory for fatigue calculation. The cumulative damage degree of each pipe joint under fatigue load is calculated separately, and the fatigue design safety of the structure is evaluated by using the cumulative damage degree.
  • Figure 1 shows a schematic diagram of the overall support structure of the offshore monopile foundation. As shown in Figure 1, the overall support structure is divided by the design interface, the tower above the interface, and the foundation structure below the interface.
  • Figure 2 shows the flow of the step-by-step iterative design method.
  • the design institute provides the environmental input of the project; the fan manufacturer provides the initial configuration of the tower and foundation according to the environmental input, and performs overall modeling and load calculation.
  • the design institute After obtaining the optimal tower, the load at the design interface, The tower type and frequency requirements are submitted to the design institute; then the design institute checks and optimizes the basic structure under the premise of given load and tower type, and meets the frequency requirements given by the fan manufacturer; finally, the fan manufacturer obtains After optimizing the basic structure, judge whether it is converged. If it is satisfied, the iteration will end. If it is not satisfied, it will remodel and perform load calculation.
  • convergence criteria There are two types of convergence criteria here: one is the design criteria for checking the tower and foundation according to the code; the other is whether the difference in quality and frequency between the optimized design obtained in this round and the previous round is within 1%.
  • a sensitivity-based optimization algorithm is to be used to solve the optimal design of the offshore wind turbine support structure, the sensitivity of the structural performance to the design variables can only be obtained through the finite difference method.
  • the workload is very large and cannot meet the requirements of the actual construction period. Therefore, one way to overcome this difficulty is to reduce the number of required computer simulation structural analysis and improve optimization efficiency; another way has also received extensive attention.
  • This approach is to use commercial structural analysis software as a black box, use the black box to design and calculate the performance response of complex structures for a batch of samples, and construct a proxy model of the structural analysis model on this basis.
  • the main agent models include polynomial response surface method (Response Surface Method, RSM), radial basis function (Radial Basis Function, RBF), support vector regression method (Support Vector Regression, SVR), Kriging wait.
  • RSM Response Surface Method
  • RBF Radial Basis Function
  • SVR Support Vector Regression
  • Kriging proxy model we propose to use the Kriging proxy model, and it should be noted that other proxy model methods can also be used to achieve the purpose of optimization.
  • the Kriging surrogate model can give the predicted value and variance of sample points, which is suitable for highly nonlinear problems, and can describe the approximate original model smoothly with fewer sample points.
  • the Kriging method is an interpolation method, it is sensitive to numerical noise.
  • the Kriging model can be written as:
  • is the regression coefficient
  • f(x) is an approximate function, expressed as a 0-order, first-order or second-order polynomial of x
  • z(x) is a randomly distributed error, which has the following statistical properties:
  • R( ⁇ , xi ,x j ) is a correlation function with parameter ⁇ , which can be given as:
  • n v is the number of design variables, are the kth component of sample points x i and x j respectively.
  • R k ( ⁇ k ,d k ) has many forms, including:
  • the calculation effect is better, and the widely used correlation function is the Gaussian correlation function.
  • the forecast error is:
  • the mean value of the error should be zero, that is:
  • This formula expresses the spatial correlation between the new sample point x new and each sample point.
  • the difference coefficient c can be determined by minimizing the forecast variance of the forecast value, and the optimization model is:
  • equations (14) and (15) can be used to calculate the predicted value of any point and the predicted variance of the predicted value.
  • z(x) obeys a normal distribution
  • y(x) should also obey a normal distribution
  • its likelihood function is:
  • the ⁇ value can be obtained by maximizing (17), and the maximization problem can be solved:
  • a sensitivity-based optimization algorithm is to be used to solve the optimal design of the offshore wind turbine support structure, the sensitivity of the structural performance to the design variables can only be obtained through the finite difference method. The workload is very large and cannot meet the requirements of the actual construction period.
  • the present invention provides a method and system for optimal design of support structures of offshore wind turbines based on surrogate models, and at the same time optimizes the design of towers and foundation structures, and optimizes offshore wind turbines from the perspective of finding the global optimal design.
  • the support structure is designed to reduce the LCOE and design cycle of offshore wind power.
  • the technical solution adopted in the present invention is: a method and system for optimal design of support structure of offshore wind turbine based on proxy model, comprising the following steps:
  • a sampling method is used to generate an initial sample set in the design space
  • the design variables are tower bottom diameter and single pile diameter; the structural performance response is tower mass, single pile mass and overall support structure frequency.
  • the initial sample set was generated using a central composite trial approach.
  • Structural performance responses are tower mass, single pile mass, and overall support structure frequency.
  • the Kriging agent model is adopted.
  • the convergence criterion is:
  • ⁇ weight /Weigh n-1 ⁇ 1% means whether the difference between the optimally designed tower mass and single pile mass obtained in this round and the previous round is within 1%;
  • ⁇ frequency /Frequency n-1 ⁇ 1% means that the current round Whether the frequency difference of the overall support structure obtained from the optimized design obtained in the last round is within 1%.
  • SRFULS_tower represents the safety margin of the tower structure in the limit state
  • SRFFLS_tower represents the safety margin of the tower structure in the fatigue state
  • UCULS_foundation represents the unit index of the single pile foundation structure in the limit state
  • DamageFLS_foundation represents the single pile foundation structure of fatigue damage.
  • the lightest design of the tower is not the lightest design of the overall support structure
  • the lightest design of the overall support structure corresponds to a larger tower diameter: 6.0m for 3-5MW units, 7.0m for 6-8MW units, and the diameter of the corresponding single pile is slightly larger than the diameter of the tower bottom by 0.5m- Within the range of 1.0m, that is, the diameter of a single pile for a 3-5MW unit is 6.5-7.0m, and the diameter of a single pile for a 6-8MW unit is 7.5-8.0m.
  • Another aspect of the present invention is to provide an offshore wind turbine support structure optimization design system based on an agent model, including an initial sample set generation module, a structural performance response acquisition module, a mapping relationship construction module, an optimization module, and an iterative verification module;
  • the initial sample set generation module is based on the design variables of the fan support structure, and adopts a sampling method to generate an initial sample set in the design space;
  • the structural performance response acquisition module is used to numerically simulate each sample point in the initial sample set to obtain corresponding structural performance response results
  • the mapping relationship building module is used to select a proxy model, and based on the initial sample set and the structural performance response results, use the corresponding fitting or interpolation method to establish a mapping relationship between the initial sample set and the structural performance response results;
  • the optimization module uses the proxy model for structural optimization design, and obtains the preliminary design results of the tower and foundation structure.
  • the tower and foundation structure are checked and optimized at the same time after the load calculation;
  • the iterative verification module uses numerical simulation to simulate the obtained preliminary design results, confirms its feasibility and optimality, and verifies whether the convergence criterion is met; if the convergence criterion is not satisfied, select the appropriate point addition criterion to add sample points and update the agent Model, using the updated surrogate model to optimize the design until the convergence criterion is satisfied, then the optimization iteration ends.
  • the present invention also provides a computer device, including a processor and a memory, the memory is used to store a computer executable program, the processor reads and executes the computer executable program from the memory, and the present invention can be realized when the processor executes the computer executable program
  • a computer device including a processor and a memory
  • the memory is used to store a computer executable program
  • the processor reads and executes the computer executable program from the memory
  • the present invention can be realized when the processor executes the computer executable program
  • the present invention has at least the following beneficial effects:
  • Adopting the method of the present invention can avoid falling into a local optimal solution when optimizing the design of the support structure of the offshore wind turbine, resulting in finding only the lightest design of the tower or single pile; using the method and process used in the present invention, after the load calculation
  • Checking and optimizing the design of the tower and foundation structure can find the global optimal design, which makes the structure more integrated, the stiffness distribution is more uniform, and the force is more reasonable.
  • the overall support structure has the lightest weight and reduces the support of offshore wind turbines.
  • the purpose of structural cost optimize the design based on the surrogate model to reduce the number of required computer simulation structural analysis and improve the efficiency of optimization.
  • Figure 1 is a schematic diagram of the offshore support structure.
  • Fig. 2 is the step-by-step iterative design process of offshore wind turbine support structure.
  • Figure 3 is the process flow of the proxy model optimization algorithm.
  • Figure 4 is the process flow of the overall optimization design method for the support structure of offshore wind turbines.
  • Figure 5 shows the initial sample points of tower bottom diameter and single pile diameter of 3-5MW offshore wind turbines.
  • Figure 6 shows the initial sample points of tower bottom diameter and single pile diameter of 6-8MW offshore wind turbines.
  • Figure 7 is a surrogate model for the mass of a 3-5MW offshore wind turbine tower.
  • Figure 8 is a quality proxy model of the overall support structure of 3-5MW offshore wind turbines.
  • Figure 9 is a surrogate model for the mass of a 6-8MW offshore wind turbine tower.
  • Figure 10 is a quality proxy model of the overall support structure of 6-8MW offshore wind turbines.
  • the general flowchart of the agent model optimization algorithm includes the following steps:
  • Step 1 Obtain the design features of the offshore support structure and screen the design variables through engineering project experience.
  • the design variables are the diameter of the tower bottom and the diameter of the single pile;
  • Step 2 adopt sampling method to generate initial sample set in the design space, the present invention adopts central compound test method;
  • Step 3 Perform numerical simulation analysis on each sample point in the initial sample set to obtain the corresponding structural performance response.
  • the structural performance response is the mass of the tower, the mass of the single pile and the frequency of the overall support structure.
  • Step 4 Select a surrogate model (suggested but not limited to Kriging surrogate model), and use the corresponding appropriate fitting or interpolation method to establish the mapping relationship between them according to the input and output in step 2 and step 3.
  • a surrogate model suggested but not limited to Kriging surrogate model
  • Step 5 use the proxy model to carry out structural optimization design, and obtain the preliminary design results of the tower and foundation structure.
  • structural optimization design check and optimize the design of the tower and foundation structure at the same time after load calculation;
  • Step 6 Use numerical simulation to conduct simulation analysis on the preliminary design results obtained in step 5, confirm its feasibility and optimality, and check whether the convergence criterion is satisfied; if the convergence criterion is not satisfied, select the appropriate point addition criterion to add sample points, Update the proxy model and go back to step 5. If the convergence criterion is met, the optimization iteration ends; the convergence criterion here refers to whether the difference between the response value of the optimized design obtained in the current round and the last round, as well as the physical quantities such as the mass of the tower, the mass of the single pile, and the frequency of the overall support structure are within 1%.
  • the method for numerically simulating the sample points in step 2 above is a proxy model-based overall optimization design method for offshore wind turbine support structures proposed by the present invention; refer to the process flow of the overall optimization design method for support structures shown in Figure 4, offshore
  • the biggest difference between the overall optimal design method of the wind power support structure and the design method of the step-by-step iterative method is that after the load calculation, the tower and the foundation structure are checked and optimized at the same time, and the lightest overall support structure is found in the entire design domain. Excellent design. After obtaining the load, the wind turbine manufacturer and the design institute will optimize the design of the tower and the foundation structure at the same time, and design from the perspective of finding the global optimal design.
  • the procurement cost of materials for offshore support structures basically only considers the quality factor.
  • the quality of the overall support structure can be reduced through the overall optimization design method of the support structure, so as to achieve the purpose of reducing the LCOE of offshore wind power.
  • the optimized columns are as follows:
  • SRFULS_tower represents the safety margin of the tower structure in the limit state
  • SRFFLS_tower represents the safety margin of the tower structure in the fatigue state
  • UCULS_foundation represents the unit index of the single pile foundation structure in the limit state
  • DamageFLS_foundation represents the single pile foundation structure of fatigue damage.
  • the lightest design of the tower is not the lightest design of the overall support structure
  • the lightest design of the overall support structure corresponds to a larger tower diameter (3-5MW unit is 6.0m, 6-8MW unit is 7.0m), and the corresponding single pile diameter is slightly larger than the diameter of the tower bottom by 0.5m Within the range of -1.0m, that is, 6.5-7.0m for 3-5MW units, and 7.5-8.0m for 6-8MW units.
  • Step 1 select the tower bottom diameter and single pile diameter as design variables.
  • Step 2 select the central composite test method to generate initial sample points (Figure 5 is the initial sample point for the tower bottom diameter and single pile diameter of 3-5MW offshore wind turbines; Figure 6 is the tower bottom diameter and single pile diameter for 6-8MW offshore wind turbines pile diameter initial sample points).
  • step 3 the overall optimization of the support structure of the offshore wind turbine is used to obtain the corresponding structural performance response (tower mass, single pile mass, frequency of the overall support structure, etc.).
  • Step 4 select the Kriging proxy model, use the corresponding appropriate fitting or interpolation method according to the input and output in step 2), 3) to establish a proxy model of the mapping relationship between them (as shown in Figure 7 and Figure 8 It is the 3-5MW offshore wind turbine tower quality proxy model and the overall support structure quality proxy model; Figure 9 and Figure 10 are the 6-8MW offshore wind turbine tower bottom diameter and the initial sample point of the single pile diameter).
  • Step 5 use the proxy model instead of the original model for structural optimization design.
  • Step 6 Check the optimal design obtained in Step 5 using the original model to confirm its feasibility and optimality, and check the convergence criteria. If it is not satisfied, select the appropriate point addition criterion to add sample points, update the proxy model, and return to step 5. If satisfied, the optimization iteration ends.
  • the convergence criterion here refers to whether the difference between the response values (tower mass, single pile mass, overall support structure frequency, etc.) of the optimal design obtained in this round and the previous round is within 1%.
  • Table 1 and Table 2 respectively show the calculation results of the support structure of 3-5MW and 6-8MW offshore wind turbines based on the optimization algorithm of the proxy model.
  • the lightest design of the tower is not the lightest design of the overall support structure
  • the lightest design of the overall support structure corresponds to a larger tower diameter (3-5MW unit is 6.0m, 6-8MW unit is 7.0m), and the corresponding single pile diameter is 0.5m larger than the tower bottom diameter , that is, 3-5MW units are 6.5m, and 6-8MW units are 7.5m.
  • Proxy model-based optimization design system for offshore wind turbine support structure including initial sample set generation module, structural performance response acquisition module, mapping relationship building module, optimization module, and iterative verification module;
  • the initial sample set generation module is based on the design variables of the fan support structure, and adopts a sampling method to generate an initial sample set in the design space;
  • the structural performance response acquisition module is used to numerically simulate each sample point in the initial sample set to obtain corresponding structural performance response results
  • the mapping relationship building module is used to select a proxy model, and based on the initial sample set and the structural performance response results, use the corresponding fitting or interpolation method to establish a mapping relationship between the initial sample set and the structural performance response results;
  • the optimization module uses the proxy model for structural optimization design, and obtains the preliminary design results of the tower and foundation structure.
  • the tower and foundation structure are checked and optimized at the same time after the load calculation;
  • the iterative verification module uses numerical simulation to simulate the obtained preliminary design results, confirms its feasibility and optimality, and verifies whether the convergence criterion is met; if the convergence criterion is not satisfied, select the appropriate point addition criterion to add sample points and update the agent Model, using the updated surrogate model to optimize the design until the convergence criterion is met, then the optimization iteration ends.
  • the present invention also provides a computer device, including a processor and a memory, the memory is used to store a computer executable program, the processor reads and executes the executable program from the memory, and when the processor executes the computer executable program, the invention can be realized
  • a computer device including a processor and a memory
  • the memory is used to store a computer executable program
  • the processor reads and executes the executable program from the memory, and when the processor executes the computer executable program, the invention can be realized
  • the optimization design method of offshore wind turbine support structure based on surrogate model is described.
  • the computer device may be a laptop, tablet, desktop or workstation.
  • the processor can be a central processing unit (CPU), digital signal processor (DSP), application specific integrated circuit (ASIC), or off-the-shelf programmable gate array (FPGA).
  • CPU central processing unit
  • DSP digital signal processor
  • ASIC application specific integrated circuit
  • FPGA off-the-shelf programmable gate array
  • the memory of the present invention can be an internal storage unit of a notebook computer, a tablet computer, a desktop computer, a mobile phone or a workstation, such as a memory, a hard disk; an external storage unit can also be used, such as a mobile hard disk, a flash memory card.

Abstract

Provided are an offshore wind turbine support structure optimization design method and system based on a proxy model. The method comprises: establishing, on the basis of a Kriging proxy model, a relationship between design parameters of support structures of offshore wind turbine generators having different capacities and optimally designed structural performance responses; and meanwhile, performing optimization design on a tower and a single-pile foundation to find optimal design of the lightest mass of the whole support structure. The method can avoid the problem that only the lightest design of a tower or a single pile is found due to the fact that an offshore wind turbine support structure falls within a locally optimal solution during optimization design.

Description

基于代理模型的海上风机支撑结构优化设计方法及系统Method and system for optimal design of offshore wind turbine support structure based on proxy model
本申请要求于2021年09月26日提交中国专利局、申请号为202111130009.0、发明名称为“基于代理模型的海上风机支撑结构优化设计方法及系统”的国内申请的优先权,其全部内容通过引用结合在本申请中。This application claims the priority of the domestic application submitted to the China Patent Office on September 26, 2021 with the application number 202111130009.0 and the title of the invention "Method and System for Optimal Design of Offshore Wind Turbine Support Structure Based on Proxy Model", the entire content of which is incorporated by reference incorporated in this application.
技术领域technical field
本发明属于海上风力发电机组支撑结构设计技术领域,具体涉及基于代理模型的海上风机支撑结构优化设计方法及系统。The invention belongs to the technical field of support structure design for offshore wind power generating sets, and in particular relates to an optimization design method and system for support structures of offshore wind turbines based on an agent model.
背景技术Background technique
受益于风电的技术进步和规模扩大,风电机组价格、风电开发投资成本及运行维护成本呈现不断下降趋势。从风电机组价格来看,海上风机支撑结构包括塔架和基础两部分:风机塔架成本约占海上风电项目投资成本8%左右,海上风机基础主要包括单桩、导管架、高桩承台等不同基础形式,一般占海上风电项目投资成本的14%左右,即整体支撑结构成本在总建设成本中占比约22%左右。因此,降低海上风电支撑结构成本能够有效降低海上风电的平准化度电成本。Benefiting from the technological progress and scale expansion of wind power, the price of wind turbines, the investment cost of wind power development and the cost of operation and maintenance are showing a downward trend. From the perspective of wind turbine prices, the support structure of offshore wind turbines includes two parts: towers and foundations: the cost of wind turbine towers accounts for about 8% of the investment cost of offshore wind power projects, and the foundation of offshore wind turbines mainly includes single piles, jackets, high pile caps, etc. Different foundation forms generally account for about 14% of the investment cost of offshore wind power projects, that is, the cost of the overall support structure accounts for about 22% of the total construction cost. Therefore, reducing the support structure cost of offshore wind power can effectively reduce the levelized cost of electricity of offshore wind power.
当前国内海上风电项目在招投标时通常采用分步迭代设计方法,一般由风机厂家给出塔架设计并担保塔架工程量,评标过程中会对塔架重量进行排名和评分;标后详细设计阶段时风机厂家和设计院依次分别对塔架和基础进行优化设计。在此流程下,风机厂家会尽可能给出塔架最轻的局部最优设计方案,而塔架最轻的设计往往不是整体支撑结构最轻的全局最优设计方案。目前已有的研究往往只对整体支撑结构的一部分(塔架或者基础)进行优化设计,因此得到的结果具有一定局限性。At present, domestic offshore wind power projects usually adopt a step-by-step iterative design method when bidding. Generally, the wind turbine manufacturer provides the tower design and guarantees the tower engineering quantity. During the bid evaluation process, the tower weight will be ranked and scored; details after bidding During the design stage, the wind turbine manufacturer and the design institute will optimize the design of the tower and foundation respectively. Under this process, the wind turbine manufacturer will give the lightest local optimal design scheme of the tower as much as possible, but the lightest design of the tower is often not the global optimal design scheme of the lightest overall support structure. Existing studies often only optimize the design of a part of the overall support structure (tower or foundation), so the results obtained have certain limitations.
在设计海上风机支撑结构时都包含了三部分:载荷计算、塔架设计和基础设计。There are three parts involved in designing the support structure of offshore wind turbines: load calculation, tower design and foundation design.
1)载荷计算1) Load calculation
海上风电支撑结构受到风、浪、流等多种环境载荷的联合作用。行业内大部分风机厂家采用GH-Bladed进行一体化建模和载荷计算。The supporting structure of offshore wind power is subject to the combined effects of various environmental loads such as wind, waves, and currents. Most fan manufacturers in the industry use GH-Bladed for integrated modeling and load calculation.
一体化建模包含环境条件输入和整体支撑结构模型搭建两方面。其中,环境条件包括风资源参数、海洋水文参数、工程地质参数及其他特殊工况(海冰、地震、台风等);整体支撑结构模型包括机头、塔架、泥面以上结构和基础(也可统称为基础结构)。Integrated modeling includes environmental condition input and overall support structure model building. Among them, environmental conditions include wind resource parameters, ocean hydrological parameters, engineering geological parameters and other special working conditions (sea ice, earthquake, typhoon, etc.); collectively referred to as infrastructure).
载荷计算中考虑了风浪异向作用,根据IEC规范需要考虑正常发电、紧急停机、开机、正常停机、空转、维修等多种工况,根据风浪联合分布可分成多达20000多个工况。The anisotropic effect of wind and waves is considered in the load calculation. According to IEC specifications, various working conditions such as normal power generation, emergency shutdown, start-up, normal shutdown, idling, and maintenance need to be considered. According to the joint distribution of wind and waves, it can be divided into more than 20,000 working conditions.
2)塔架设计2) Tower design
塔架设计中,需要进行塔架主体及局部结构的极限强度、屈曲强度和疲劳强度校核。极限强度校核包括塔架筒体、塔架法兰、门洞及海缆孔、锚栓笼等局部结构的校核;屈曲强度校核包括塔架筒体和门洞海缆孔等结构的校核;疲劳强度校核包括塔架筒体焊缝、法兰连接螺栓、门框及海缆孔、顶法兰、锚栓笼等结构的校核。In tower design, it is necessary to check the ultimate strength, buckling strength and fatigue strength of the tower main body and local structures. The ultimate strength check includes the check of the tower shell, the tower flange, the door opening and the sea cable hole, the anchor bolt cage and other local structures; the buckling strength check includes the check of the tower shell, the door opening and the sea cable hole and other structures ; Fatigue strength check includes the check of tower shell welds, flange connection bolts, door frames and sea cable holes, top flanges, anchor bolt cages and other structures.
3)基础设计3) Basic design
在基础结构主体设计中,主要包含极限海况下的强度承载力分析、正常服役工况分析、船撞分析、地震工况分析等。荷载组合中考虑可能出现的最不利水位下的波浪、海流与风机运行载荷的极端组合作用。疲劳强度分析利用S-N曲线与Miner线性累计损伤理论进行疲劳计算。分别计算各个管节点在疲劳荷载作用下累积损伤程度,利用累积损伤程度评估结构的抗疲劳设计安全性。In the design of the main body of the foundation structure, it mainly includes the analysis of the strength and bearing capacity under extreme sea conditions, the analysis of normal service conditions, the analysis of ship collisions, and the analysis of earthquake conditions. In the load combination, the extreme combination of waves, ocean currents and wind turbine operating loads under the most unfavorable water level that may occur is considered. Fatigue strength analysis uses S-N curve and Miner linear cumulative damage theory for fatigue calculation. The cumulative damage degree of each pipe joint under fatigue load is calculated separately, and the fatigue design safety of the structure is evaluated by using the cumulative damage degree.
当前国内风电行业大都采用的是分步迭代设计方法。图1给出了海上单桩基础整体支撑结构的示意图。如图1所示,整体支撑结构以设计交界面为分界,交界面以上为塔架,交界面以下为基础结构。图2给出了分步迭代设计方法的流程。首先由设计院提供项目的环境输入;风机厂家根据环境输入给出塔架和基础的初始构型并进行整体建模和载荷计算,在得到最优的塔架后把设计交界面处的载荷、塔架构型和频率要求提给设计院;接着设 计院在给定载荷和塔架构型的前提下对基础结构进行校核和优化设计,并满足风机厂家给出的频率要求;最后风机厂家在得到优化的基础结构后判断是否收敛,如果满足则迭代结束,如不满足则重新建模并进行载荷计算。在这里收敛准则包含两类:一类是根据规范对塔架和基础校核的设计准则;另一类是本轮和上轮得到的优化设计的质量和频率差别是否在1%以内。At present, the domestic wind power industry mostly adopts the step-by-step iterative design method. Figure 1 shows a schematic diagram of the overall support structure of the offshore monopile foundation. As shown in Figure 1, the overall support structure is divided by the design interface, the tower above the interface, and the foundation structure below the interface. Figure 2 shows the flow of the step-by-step iterative design method. First, the design institute provides the environmental input of the project; the fan manufacturer provides the initial configuration of the tower and foundation according to the environmental input, and performs overall modeling and load calculation. After obtaining the optimal tower, the load at the design interface, The tower type and frequency requirements are submitted to the design institute; then the design institute checks and optimizes the basic structure under the premise of given load and tower type, and meets the frequency requirements given by the fan manufacturer; finally, the fan manufacturer obtains After optimizing the basic structure, judge whether it is converged. If it is satisfied, the iteration will end. If it is not satisfied, it will remodel and perform load calculation. There are two types of convergence criteria here: one is the design criteria for checking the tower and foundation according to the code; the other is whether the difference in quality and frequency between the optimized design obtained in this round and the previous round is within 1%.
在这里,需要说明的是,在当前国内采用海上风机支撑结构设计方法时,在确定了初步构型以后(塔架和单桩基础的直径)一般需要2-4轮迭代才能收敛,每一轮都需要进行载荷计算、塔架和基础的设计优化。如果要进一步优化塔架和单桩的直径以找到整体支撑结构质量最轻的设计,将十分耗费计算时间,以致于影响项目进度。因此,在实际工程项目中为了尽快提供塔架和单桩基础的施工图,往往没有足够的时间用于进行优化,并且在此过程中,塔架和基础的设计和优化是依次先后进行的,是两个独立的设计域,目标都是找到各自设计域中的最优设计。因此在国内实际的项目中,最终得到的设计往往是塔架最轻的局部最优设计,而不是整体支撑结构最轻的全局最优设计。Here, it needs to be explained that when the current design method of offshore wind turbine support structure is adopted in China, after the preliminary configuration (the diameter of the tower and monopile foundation) is determined, it generally takes 2-4 rounds of iterations to converge. Both require load calculations, tower and foundation design optimization. Further optimization of the tower and monopile diameters to find the design with the lightest overall support structure would be computationally time consuming and affect the project schedule. Therefore, in order to provide the construction drawings of the tower and monopile foundation as soon as possible in actual engineering projects, there is often not enough time for optimization, and in this process, the design and optimization of the tower and foundation are carried out sequentially, are two independent design domains, and the goal is to find the optimal design in their respective design domains. Therefore, in domestic actual projects, the final design is often the lightest local optimal design of the tower, rather than the global optimal design of the lightest overall support structure.
如果要采用基于灵敏度的优化算法来求解海上风机支撑结构的最优设计,只能通过有限差分法求得结构性能对设计变量的灵敏度,工作量十分大,无法满足实际工期的要求。因此,减少需要的计算机模拟结构分析次数,提高优化效率是克服这个困难的一个途径;而另一个途径也受到广泛的关注。这个途径就是将商业结构分析软件作为黑箱,利用黑箱对一批样本设计计算复杂结构的性能响应,在此基础上构造结构分析模型的代理模型。If a sensitivity-based optimization algorithm is to be used to solve the optimal design of the offshore wind turbine support structure, the sensitivity of the structural performance to the design variables can only be obtained through the finite difference method. The workload is very large and cannot meet the requirements of the actual construction period. Therefore, one way to overcome this difficulty is to reduce the number of required computer simulation structural analysis and improve optimization efficiency; another way has also received extensive attention. This approach is to use commercial structural analysis software as a black box, use the black box to design and calculate the performance response of complex structures for a batch of samples, and construct a proxy model of the structural analysis model on this basis.
根据构造的代理模型的不同,主要的代理模型有多项式响应面法(Response Surface Method,RSM),径向基函数(Radial Basis Function,RBF),支持向量回归法(Support Vector Regression,SVR),Kriging等。在本发明中,我们建议采用Kriging代理模型,需要说明的是,使用其它代理模型方法也可以达到优化的目的。According to the different agent models constructed, the main agent models include polynomial response surface method (Response Surface Method, RSM), radial basis function (Radial Basis Function, RBF), support vector regression method (Support Vector Regression, SVR), Kriging wait. In the present invention, we propose to use the Kriging proxy model, and it should be noted that other proxy model methods can also be used to achieve the purpose of optimization.
Kriging代理模型可以给出样本点的预测值和方差,适用于高度非线性 的问题,能够以较少的样本点光滑地描绘出近似的原模型。但是,由于Kriging方法属于插值法,所以对数值噪音比较敏感。The Kriging surrogate model can give the predicted value and variance of sample points, which is suitable for highly nonlinear problems, and can describe the approximate original model smoothly with fewer sample points. However, since the Kriging method is an interpolation method, it is sensitive to numerical noise.
Kriging模型可以写作为:The Kriging model can be written as:
y(x)=F(β,x)+z(x)=f Tβ+z(x)                 (1) y(x)=F(β,x)+z(x)=f T β+z(x) (1)
其中,β是回归系数;f(x)是近似函数,表示为x的0阶、一阶或者二阶多项式;z(x)为随机分布的误差,有如下统计特性:Among them, β is the regression coefficient; f(x) is an approximate function, expressed as a 0-order, first-order or second-order polynomial of x; z(x) is a randomly distributed error, which has the following statistical properties:
E[z(x)]=0E[z(x)]=0
Figure PCTCN2022077804-appb-000001
Figure PCTCN2022077804-appb-000001
Figure PCTCN2022077804-appb-000002
Figure PCTCN2022077804-appb-000002
其中x i,x j是样本集合中任意两个样本点,R(θ,x i,x j)是带有参数θ的相关函数,可以给定为: Where x i , x j are any two sample points in the sample set, R(θ, xi ,x j ) is a correlation function with parameter θ, which can be given as:
Figure PCTCN2022077804-appb-000003
Figure PCTCN2022077804-appb-000003
其中n v是设计变量数,
Figure PCTCN2022077804-appb-000004
分别是样本点x i,x j的第k个分量。其中R kk,d k)有多种形式,包括:
where n v is the number of design variables,
Figure PCTCN2022077804-appb-000004
are the kth component of sample points x i and x j respectively. Among them, R kk ,d k ) has many forms, including:
线性函数R kk,d k)=max{0,1-θ kd k} Linear function R kk ,d k )=max{0,1-θ k d k }
二次多项式函数
Figure PCTCN2022077804-appb-000005
quadratic polynomial function
Figure PCTCN2022077804-appb-000005
指数函数R kk,d k)=exp(-θ kd k) Exponential function R kk ,d k )=exp(-θ k d k )
高斯函数
Figure PCTCN2022077804-appb-000006
Gaussian function
Figure PCTCN2022077804-appb-000006
其中计算效果较好,被广泛采用的相关函数为高斯相关函数。Among them, the calculation effect is better, and the widely used correlation function is the Gaussian correlation function.
值得说明的是,我们可以通过选择不同的回归函数和相关函数来构造误差最小的响应面,相关内容将在第四章中进一步讨论。It is worth noting that we can construct a response surface with the smallest error by choosing different regression functions and correlation functions, which will be further discussed in Chapter 4.
假设有ns个样本点,给定样本集S=[x 1,x 2,...,x ns]及其响应集Y=[y 1,y 2,...,y ns],对于模型(1),对于任意一个待测点x new的预测响应值为: Suppose there are ns sample points, given the sample set S=[x 1 ,x 2 ,...,x ns ] and its response set Y=[y 1 ,y 2 ,...,y ns ], for the model (1), the predicted response value for any point x new to be measured is:
Figure PCTCN2022077804-appb-000007
Figure PCTCN2022077804-appb-000007
预测的误差为:The forecast error is:
Figure PCTCN2022077804-appb-000008
Figure PCTCN2022077804-appb-000008
其中
Figure PCTCN2022077804-appb-000009
为了保证模拟过程的无偏性,误差的均值应为零,即:
in
Figure PCTCN2022077804-appb-000009
In order to ensure the unbiasedness of the simulation process, the mean value of the error should be zero, that is:
Figure PCTCN2022077804-appb-000010
Figure PCTCN2022077804-appb-000010
可得:Available:
F Tc-f=0                       (7) F T cf = 0 (7)
式(1-4)的预测方差为:The prediction variance of formula (1-4) is:
Figure PCTCN2022077804-appb-000011
Figure PCTCN2022077804-appb-000011
其中:in:
Figure PCTCN2022077804-appb-000012
Figure PCTCN2022077804-appb-000012
此式表示的是新样本点x new与各样本点的空间相关性。此时,可通过最小化预测值的预测方差来确定差值系数c,其优化模型为: This formula expresses the spatial correlation between the new sample point x new and each sample point. At this time, the difference coefficient c can be determined by minimizing the forecast variance of the forecast value, and the optimization model is:
Figure PCTCN2022077804-appb-000013
Figure PCTCN2022077804-appb-000013
通过求解可以得到:By solving it can be obtained:
Figure PCTCN2022077804-appb-000014
Figure PCTCN2022077804-appb-000014
将上式求得的c代入式(4)和(8)中,就得到了待测点x new的预测值和预测值方差: Substituting c obtained from the above formula into formulas (4) and (8), the predicted value and predicted value variance of the point x new to be measured are obtained:
Figure PCTCN2022077804-appb-000015
Figure PCTCN2022077804-appb-000015
由回归问题
Figure PCTCN2022077804-appb-000016
的广义最小二乘估计可得:
by regression problem
Figure PCTCN2022077804-appb-000016
The generalized least squares estimate of can be obtained:
β *=(F TR -1F) -1F TR -1Y        (13) β * =(F T R -1 F) -1 F T R -1 Y (13)
将式(13)代入(12),并考虑余量表达式Rγ *=Y-Fβ *可得: Substituting formula (13) into (12), and considering the margin expression Rγ * =Y-Fβ * , we can get:
Figure PCTCN2022077804-appb-000017
Figure PCTCN2022077804-appb-000017
由于矩阵F,R和向量Y是由给定样本S来计算的,与x new无关,所以β和γ与x new无关,那么在式(14)中就只有向量f(x new)和r(x new)与x new有关。也就是说,对于任一待测点x new,只要求出f(x new)和r(x new),就可以得到这一点的预测响应值。 Since the matrix F, R and vector Y are calculated by a given sample S and have nothing to do with x new , so β and γ have nothing to do with x new , then in formula (14) there are only vectors f(x new ) and r( x new ) is related to x new . That is to say, for any point x new to be measured, only f(x new ) and r(x new ) are required to obtain the predicted response value of this point.
将式(1-11)代入到式(1-18),则预测值的预测方差为:Substituting formula (1-11) into formula (1-18), the prediction variance of the predicted value is:
Figure PCTCN2022077804-appb-000018
Figure PCTCN2022077804-appb-000018
其中:in:
Figure PCTCN2022077804-appb-000019
Figure PCTCN2022077804-appb-000019
至此,式(14)和(15)就可以被用来计算任一点的预测值和预测值的预测方差。这两个式子中存在两个参数
Figure PCTCN2022077804-appb-000020
和θ。这两个参数可以通过最大化响应值的似然估计来计算。z(x)服从正态分布,那么y(x)也应服从正态分布,它的似然函数为:
So far, equations (14) and (15) can be used to calculate the predicted value of any point and the predicted variance of the predicted value. There are two parameters in these two formulas
Figure PCTCN2022077804-appb-000020
and θ. These two parameters can be calculated by maximizing the likelihood estimate of the response value. z(x) obeys a normal distribution, then y(x) should also obey a normal distribution, and its likelihood function is:
Figure PCTCN2022077804-appb-000021
Figure PCTCN2022077804-appb-000021
对上式取对数,去掉常数项,可得:Taking the logarithm of the above formula and removing the constant term, we can get:
Figure PCTCN2022077804-appb-000022
Figure PCTCN2022077804-appb-000022
将上式对
Figure PCTCN2022077804-appb-000023
求偏导数并令其导数为零,可以得到:
Match the above formula to
Figure PCTCN2022077804-appb-000023
Taking the partial derivatives and setting them to zero gives:
Figure PCTCN2022077804-appb-000024
Figure PCTCN2022077804-appb-000024
再将(17)代入到(16)中,并忽略常数项,可以得到:Substituting (17) into (16) and ignoring the constant term, we can get:
Figure PCTCN2022077804-appb-000025
Figure PCTCN2022077804-appb-000025
通过最大化(17)即可得到θ值,求解最大化问题:The θ value can be obtained by maximizing (17), and the maximization problem can be solved:
Figure PCTCN2022077804-appb-000026
Figure PCTCN2022077804-appb-000026
综上所述,Kriging代理模型的构建就转化成一个非线性无约束优化问题。In summary, the construction of the Kriging surrogate model is transformed into a nonlinear unconstrained optimization problem.
如果要采用基于灵敏度的优化算法来求解海上风机支撑结构的最优设计,只能通过有限差分法求得结构性能对设计变量的灵敏度,工作量十分大,无法满足实际工期的要求。If a sensitivity-based optimization algorithm is to be used to solve the optimal design of the offshore wind turbine support structure, the sensitivity of the structural performance to the design variables can only be obtained through the finite difference method. The workload is very large and cannot meet the requirements of the actual construction period.
发明内容Contents of the invention
为了解决现有技术中存在的问题,本发明提供基于代理模型的海上风机支撑结构优化设计方法及系统,同时对塔架和基础结构进行优化设计,站在寻找全局最优设计的角度对海上风机支撑结构进行设计,降低海上风电平准化度电成本以及设计周期。In order to solve the problems existing in the prior art, the present invention provides a method and system for optimal design of support structures of offshore wind turbines based on surrogate models, and at the same time optimizes the design of towers and foundation structures, and optimizes offshore wind turbines from the perspective of finding the global optimal design. The support structure is designed to reduce the LCOE and design cycle of offshore wind power.
为了实现上述目的,本发明采用的技术方案是:基于代理模型的海上风机支撑结构优化设计方法及系统,包括以下步骤:In order to achieve the above object, the technical solution adopted in the present invention is: a method and system for optimal design of support structure of offshore wind turbine based on proxy model, comprising the following steps:
基于确定风机支撑结构的设计变量,采用抽样方法在设计空间内生成初始样本集合;Based on determining the design variables of the wind turbine support structure, a sampling method is used to generate an initial sample set in the design space;
对所述初始样本集合中的每一个样本点进行数值模拟,得到相应的结构性能响应结果;Perform numerical simulation on each sample point in the initial sample set to obtain corresponding structural performance response results;
选择代理模型,基于所述初始样本集合和结构性能响应结果,采用所对应的拟合或插值方法建立根据初始样本集合和结构性能响应结果之间的映射关系;Selecting a proxy model, based on the initial sample set and the structural performance response results, using the corresponding fitting or interpolation method to establish a mapping relationship between the initial sample set and the structural performance response results;
使用代理模型进行结构优化设计,得到塔架和基础结构的初步设计结 果,在进行结构优化设计时,在载荷计算后同时对塔架和基础结构进行校核和优化设计;Use the proxy model for structural optimization design to obtain the preliminary design results of the tower and foundation structure. When performing structural optimization design, check and optimize the design of the tower and foundation structure at the same time after load calculation;
对所得初步设计结果采用数值仿真进行模拟,确认其可行性和最优性,并校验是否满足收敛准则;如果不满足收敛准则,则选择合适的加点准则添加样本点,更新代理模型,采用更新后的代理模型进行优化设计,直至满足收敛准则,则优化迭代结束。Use numerical simulation to simulate the obtained preliminary design results, confirm its feasibility and optimality, and check whether the convergence criterion is met; if the convergence criterion is not met, select the appropriate point addition criterion to add sample points, update the proxy model, and use the update The final proxy model is optimized until the convergence criterion is met, and the optimization iteration ends.
所述设计变量为塔底直径和单桩直径;结构性能响应为塔架质量、单桩质量以及整体支撑结构频率。The design variables are tower bottom diameter and single pile diameter; the structural performance response is tower mass, single pile mass and overall support structure frequency.
采用中心复合试验方法生成初始样本集合。The initial sample set was generated using a central composite trial approach.
结构性能响应为塔架质量、单桩质量以及整体支撑结构频率。Structural performance responses are tower mass, single pile mass, and overall support structure frequency.
采用Kriging代理模型。The Kriging agent model is adopted.
所述收敛准则为:The convergence criterion is:
Δ weigh/Weigh n-1≤1% Δ weight /Weigh n-1 ≤1%
Δ frequency/Frequency n-1≤1% Δ frequency /Frequency n-1 ≤1%
其中,Δ weigh/Weigh n-1≤1%表示本轮和上轮得到的优化设计的塔架质量、单桩质量差别是否在1%以内;Δ frequency/Frequency n-1≤1%表示本轮和上轮得到的优化设计的整体支撑结构频率差别是否在1%以内。 Among them, Δ weight /Weigh n-1 ≤ 1% means whether the difference between the optimally designed tower mass and single pile mass obtained in this round and the previous round is within 1%; Δ frequency /Frequency n-1 ≤ 1% means that the current round Whether the frequency difference of the overall support structure obtained from the optimized design obtained in the last round is within 1%.
采用代理模型优化过程中的优化列式为:The optimized column formula in the optimization process using the surrogate model is:
find:塔底和单桩基础的直径、壁厚、焊缝高度find: Diameter, wall thickness, weld height of tower bottom and monopile foundation
minimum:整体支撑结构质量minimum: overall support structure quality
subject to:subject to:
SRFULS_tower≥1                          ①SRFULS_tower≥1 ①
SRFFLS_tower≥1                          ②SRFFLS_tower≥1 ②
UCULS_foundation≤1                          ③UCULS_foundation≤1 ③
DamageFLS_foundation≤1                          ④DamageFLS_foundation≤1 ④
单桩基础的设计抗压承载力≤单桩基础的允许抗压承载力   ⑤Design compressive bearing capacity of single pile foundation ≤ allowable compressive bearing capacity of single pile foundation
单桩基础的设计变形值≤单桩基础的许用变形值       ⑥Design deformation value of single pile foundation ≤ allowable deformation value of single pile foundation
其中:SRFULS_tower表示塔架结构在极限状态下的安全裕度; SRFFLS_tower表示塔架结构在疲劳状态下的安全裕度;UCULS_foundation表示单桩基础结构在极限状态下的单元指标;DamageFLS_foundation表示单桩基础结构的疲劳损伤。Among them: SRFULS_tower represents the safety margin of the tower structure in the limit state; SRFFLS_tower represents the safety margin of the tower structure in the fatigue state; UCULS_foundation represents the unit index of the single pile foundation structure in the limit state; DamageFLS_foundation represents the single pile foundation structure of fatigue damage.
①塔架最轻的设计不是整体支撑结构最轻的设计;① The lightest design of the tower is not the lightest design of the overall support structure;
②整体支撑结构最轻的设计所对应的塔架直径较大:3-5MW级别机组为6.0m,6-8MW机组为7.0m,且对应的单桩直径都稍比塔底直径大0.5m-1.0m范围内,即3-5MW级别机组单桩直径为6.5-7.0m,6-8MW机组单桩直径为7.5-8.0m。② The lightest design of the overall support structure corresponds to a larger tower diameter: 6.0m for 3-5MW units, 7.0m for 6-8MW units, and the diameter of the corresponding single pile is slightly larger than the diameter of the tower bottom by 0.5m- Within the range of 1.0m, that is, the diameter of a single pile for a 3-5MW unit is 6.5-7.0m, and the diameter of a single pile for a 6-8MW unit is 7.5-8.0m.
本发明的另一个方面是提供基于代理模型的海上风机支撑结构优化设计系统,包括初始样本集合生成模块、结构性能响应获取模块、映射关系构建模块、优化模块、迭代校验模块;Another aspect of the present invention is to provide an offshore wind turbine support structure optimization design system based on an agent model, including an initial sample set generation module, a structural performance response acquisition module, a mapping relationship construction module, an optimization module, and an iterative verification module;
初始样本集合生成模块基于风机支撑结构的设计变量,采用抽样方法在设计空间内生成初始样本集合;The initial sample set generation module is based on the design variables of the fan support structure, and adopts a sampling method to generate an initial sample set in the design space;
结构性能响应获取模块用于对所述初始样本集合中的每一个样本点进行数值模拟,得到相应的结构性能响应结果;The structural performance response acquisition module is used to numerically simulate each sample point in the initial sample set to obtain corresponding structural performance response results;
映射关系构建模块用于选择代理模型,基于所述初始样本集合和结构性能响应结果,采用所对应的拟合或插值方法建立根据初始样本集合和结构性能响应结果之间的映射关系;The mapping relationship building module is used to select a proxy model, and based on the initial sample set and the structural performance response results, use the corresponding fitting or interpolation method to establish a mapping relationship between the initial sample set and the structural performance response results;
优化模块使用代理模型进行结构优化设计,得到塔架和基础结构的初步设计结果,在进行结构优化设计时,在载荷计算后同时对塔架和基础结构进行校核和优化设计;The optimization module uses the proxy model for structural optimization design, and obtains the preliminary design results of the tower and foundation structure. When performing structural optimization design, the tower and foundation structure are checked and optimized at the same time after the load calculation;
迭代校验模块对所得初步设计结果采用数值仿真进行模拟,确认其可行性和最优性,并校验是否满足收敛准则;如果不满足收敛准则,则选择合适的加点准则添加样本点,更新代理模型,采用更新后的代理模型进行优化设计,直至满足收敛准则,则优化迭代结束。The iterative verification module uses numerical simulation to simulate the obtained preliminary design results, confirms its feasibility and optimality, and verifies whether the convergence criterion is met; if the convergence criterion is not satisfied, select the appropriate point addition criterion to add sample points and update the agent Model, using the updated surrogate model to optimize the design until the convergence criterion is satisfied, then the optimization iteration ends.
本发明还提供一种计算机设备,包括处理器以及存储器,存储器用于存储计算机可执行程序,处理器从存储器中读取计算机可执行程序并执行,处理器执行计算机可执行程序时能实现本发明所述基于代理模型的海上风 机支撑结构优化设计方法。The present invention also provides a computer device, including a processor and a memory, the memory is used to store a computer executable program, the processor reads and executes the computer executable program from the memory, and the present invention can be realized when the processor executes the computer executable program The proxy model-based optimization design method for offshore wind turbine support structures.
与现有技术相比,本发明至少具有以下有益效果:Compared with the prior art, the present invention has at least the following beneficial effects:
采用本发明所述方法能够避免海上风机支撑结构优化设计时陷入局部最优解,导致找到的只是塔架或者单桩最轻设计的问题;采用本发明所用的方法和流程,在载荷计算后同时对塔架和基础结构进行校核和优化设计,能找到全局最优设计,使得结构整体性更强,刚度分布更均匀,受力更合理,最终达到整体支撑结构重量最轻,降低海上风机支撑结构造价的目的;基于代理模型进行优化设计减少需要的计算机模拟结构分析次数,提高优化效率。Adopting the method of the present invention can avoid falling into a local optimal solution when optimizing the design of the support structure of the offshore wind turbine, resulting in finding only the lightest design of the tower or single pile; using the method and process used in the present invention, after the load calculation Checking and optimizing the design of the tower and foundation structure can find the global optimal design, which makes the structure more integrated, the stiffness distribution is more uniform, and the force is more reasonable. Finally, the overall support structure has the lightest weight and reduces the support of offshore wind turbines. The purpose of structural cost: optimize the design based on the surrogate model to reduce the number of required computer simulation structural analysis and improve the efficiency of optimization.
附图说明Description of drawings
下面结合附图对本发明的示例性实施例进行详细描述,本发明的以上和其它特点及优点将变得更加清楚,附图中:Exemplary embodiments of the present invention will be described in detail below in conjunction with the accompanying drawings, and the above and other features and advantages of the present invention will become clearer. In the accompanying drawings:
图1是海上支撑结构示意图。Figure 1 is a schematic diagram of the offshore support structure.
图2是海上风机支撑结构分步迭代设计方法流程。Fig. 2 is the step-by-step iterative design process of offshore wind turbine support structure.
图3是代理模型优化算法流程。Figure 3 is the process flow of the proxy model optimization algorithm.
图4是海上风机支撑结构整体优化设计方法流程。Figure 4 is the process flow of the overall optimization design method for the support structure of offshore wind turbines.
图5是3-5MW级海上风电机组塔底直径及单桩直径初始样本点。Figure 5 shows the initial sample points of tower bottom diameter and single pile diameter of 3-5MW offshore wind turbines.
图6是6-8MW级海上风电机组塔底直径及单桩直径初始样本点。Figure 6 shows the initial sample points of tower bottom diameter and single pile diameter of 6-8MW offshore wind turbines.
图7是3-5MW级海上风电机组塔架质量代理模型。Figure 7 is a surrogate model for the mass of a 3-5MW offshore wind turbine tower.
图8是3-5MW级海上风电机组整体支撑结构质量代理模型。Figure 8 is a quality proxy model of the overall support structure of 3-5MW offshore wind turbines.
图9是6-8MW级海上风电机组塔架质量代理模型。Figure 9 is a surrogate model for the mass of a 6-8MW offshore wind turbine tower.
图10是6-8MW级海上风电机组整体支撑结构质量代理模型。Figure 10 is a quality proxy model of the overall support structure of 6-8MW offshore wind turbines.
具体实施方式Detailed ways
下面结合图3-图10和具体实施例对本发明作进一步详细说明。The present invention will be further described in detail below with reference to FIGS. 3-10 and specific embodiments.
参考图3中,代理模型优化算法的一般流程图,包括以下步骤:Referring to Figure 3, the general flowchart of the agent model optimization algorithm includes the following steps:
步骤1,通过工程项目经验获取海上支撑结构设计特征并筛选设计变量,在本发明中设计变量为为塔底直径和单桩直径; Step 1. Obtain the design features of the offshore support structure and screen the design variables through engineering project experience. In the present invention, the design variables are the diameter of the tower bottom and the diameter of the single pile;
步骤2,采用抽样方法在设计空间内生成初始样本集合,本发明采用中心复合试验方法;Step 2, adopt sampling method to generate initial sample set in the design space, the present invention adopts central compound test method;
步骤3,对所述初始样本集合中的每一个样本点进行数值模拟分析,得到相应的结构性能响应,本发明中结构性能响应为塔架质量、单桩质量以及整体支撑结构频率。Step 3: Perform numerical simulation analysis on each sample point in the initial sample set to obtain the corresponding structural performance response. In the present invention, the structural performance response is the mass of the tower, the mass of the single pile and the frequency of the overall support structure.
步骤4,选择代理模型(建议但不限于Kriging代理模型),采用所对应的合适的拟合或插值方法根据步骤2和步骤3中的输入和输出,建立它们之间的映射关系。Step 4: Select a surrogate model (suggested but not limited to Kriging surrogate model), and use the corresponding appropriate fitting or interpolation method to establish the mapping relationship between them according to the input and output in step 2 and step 3.
步骤5,使用代理模型进行结构优化设计,得到塔架和基础结构的初步设计结果,在进行结构优化设计时,在载荷计算后同时对塔架和基础结构进行校核和优化设计; Step 5, use the proxy model to carry out structural optimization design, and obtain the preliminary design results of the tower and foundation structure. When performing structural optimization design, check and optimize the design of the tower and foundation structure at the same time after load calculation;
步骤6,对步骤5所得初步设计结果采用数值仿真进行模拟分析,确认其可行性和最优性,并校验是否满足收敛准则;如果不满足收敛准则,则选择合适的加点准则添加样本点,更新代理模型,返回步骤5。如果满足收敛准则,则优化迭代结束;这里的收敛准则指:本轮和上轮得到的优化设计的响应值及塔架质量、单桩质量以及整体支撑结构频率等物理量差别是否在1%以内。 Step 6. Use numerical simulation to conduct simulation analysis on the preliminary design results obtained in step 5, confirm its feasibility and optimality, and check whether the convergence criterion is satisfied; if the convergence criterion is not satisfied, select the appropriate point addition criterion to add sample points, Update the proxy model and go back to step 5. If the convergence criterion is met, the optimization iteration ends; the convergence criterion here refers to whether the difference between the response value of the optimized design obtained in the current round and the last round, as well as the physical quantities such as the mass of the tower, the mass of the single pile, and the frequency of the overall support structure are within 1%.
在如上所述的步骤2对样本点进行数值模拟的方法,本发明提出的一种基于代理模型的海上风机支撑结构整体优化设计方法;参考图4所示支撑结构整体优化设计方法的流程,海上风电支撑结构整体优化设计方法与分步迭代法设计方法最大的不同是在载荷计算后同时对塔架和基础结构进行校核和优化设计,在整个设计域中寻找整体支撑结构最轻的全局最优设计。风机厂家和设计院在得到载荷后,同时对塔架和基础结构进行优化设计,站在寻找全局最优设计的角度进行设计。当前海上支撑结构的材料的 采购费基本只考虑质量因素,通过支撑结构整体优化设计方法可以降低整体支撑结构的质量,因此达到降低海上风电平准化度电成本的目的。优化列式如下:The method for numerically simulating the sample points in step 2 above is a proxy model-based overall optimization design method for offshore wind turbine support structures proposed by the present invention; refer to the process flow of the overall optimization design method for support structures shown in Figure 4, offshore The biggest difference between the overall optimal design method of the wind power support structure and the design method of the step-by-step iterative method is that after the load calculation, the tower and the foundation structure are checked and optimized at the same time, and the lightest overall support structure is found in the entire design domain. Excellent design. After obtaining the load, the wind turbine manufacturer and the design institute will optimize the design of the tower and the foundation structure at the same time, and design from the perspective of finding the global optimal design. At present, the procurement cost of materials for offshore support structures basically only considers the quality factor. The quality of the overall support structure can be reduced through the overall optimization design method of the support structure, so as to achieve the purpose of reducing the LCOE of offshore wind power. The optimized columns are as follows:
find:塔底和单桩基础的直径、壁厚、焊缝高度find: Diameter, wall thickness, weld height of tower bottom and monopile foundation
minimum:整体支撑结构质量minimum: overall support structure quality
subject to:subject to:
SRFULS_tower≥1                         ①SRFULS_tower≥1 ①
SRFFLS_tower≥1                         ②SRFFLS_tower≥1 ②
UCULS_foundation≤1                         ③UCULS_foundation≤1 ③
DamageFLS_foundation≤1                         ④DamageFLS_foundation≤1 ④
单桩基础的设计抗压承载力≤单桩基础的允许抗压承载力   ⑤Design compressive bearing capacity of single pile foundation ≤ allowable compressive bearing capacity of single pile foundation
单桩基础的设计变形值≤单桩基础的许用变形值      ⑥Design deformation value of single pile foundation ≤ allowable deformation value of single pile foundation
其中:SRFULS_tower表示塔架结构在极限状态下的安全裕度;SRFFLS_tower表示塔架结构在疲劳状态下的安全裕度;UCULS_foundation表示单桩基础结构在极限状态下的单元指标;DamageFLS_foundation表示单桩基础结构的疲劳损伤。Among them: SRFULS_tower represents the safety margin of the tower structure in the limit state; SRFFLS_tower represents the safety margin of the tower structure in the fatigue state; UCULS_foundation represents the unit index of the single pile foundation structure in the limit state; DamageFLS_foundation represents the single pile foundation structure of fatigue damage.
通过本发明提出的基于代理模型的海上风机支撑结构优化设计方法,可以得到的最优支撑结构:The optimal support structure that can be obtained through the proxy model-based optimization design method for offshore wind turbine support structures proposed by the present invention:
①塔架最轻的设计不是整体支撑结构最轻的设计;① The lightest design of the tower is not the lightest design of the overall support structure;
②整体支撑结构最轻的设计所对应的塔架直径较大(3-5MW级别机组为6.0m,6-8MW机组为7.0m),且对应的单桩直径都稍比塔底直径大0.5m-1.0m范围内,即3-5MW级别机组为6.5-7.0m,6-8MW机组为7.5-8.0m。② The lightest design of the overall support structure corresponds to a larger tower diameter (3-5MW unit is 6.0m, 6-8MW unit is 7.0m), and the corresponding single pile diameter is slightly larger than the diameter of the tower bottom by 0.5m Within the range of -1.0m, that is, 6.5-7.0m for 3-5MW units, and 7.5-8.0m for 6-8MW units.
以3-5MW和6-8MW级海上风电机组支撑结构优化设计为例:Take the optimal design of the supporting structure of 3-5MW and 6-8MW offshore wind turbines as an example:
步骤1,选择塔底直径和单桩直径为设计变量。 Step 1, select the tower bottom diameter and single pile diameter as design variables.
步骤2,选用中心复合试验方法生成初始样本点(如图5是3-5MW级 海上风电机组塔底直径及单桩直径初始样本点;图6是6-8MW级海上风电机组塔底直径及单桩直径初始样本点)。Step 2, select the central composite test method to generate initial sample points (Figure 5 is the initial sample point for the tower bottom diameter and single pile diameter of 3-5MW offshore wind turbines; Figure 6 is the tower bottom diameter and single pile diameter for 6-8MW offshore wind turbines pile diameter initial sample points).
步骤3,采用海上风机支撑结构整体优化得到相应的结构性能响应(塔架质量、单桩质量、整体支撑结构频率等)。In step 3, the overall optimization of the support structure of the offshore wind turbine is used to obtain the corresponding structural performance response (tower mass, single pile mass, frequency of the overall support structure, etc.).
步骤4,选择Kriging代理模型,采用所对应的合适的拟合或插值方法根据第2),3)步中的输入和输出,建立它们之间的映射关系的代理模型(如图7和图8是3-5MW级海上风电机组塔架质量代理模型和整体支撑结构质量代理模型;图9和图10是6-8MW级海上风电机组塔底直径及单桩直径初始样本点)。Step 4, select the Kriging proxy model, use the corresponding appropriate fitting or interpolation method according to the input and output in step 2), 3) to establish a proxy model of the mapping relationship between them (as shown in Figure 7 and Figure 8 It is the 3-5MW offshore wind turbine tower quality proxy model and the overall support structure quality proxy model; Figure 9 and Figure 10 are the 6-8MW offshore wind turbine tower bottom diameter and the initial sample point of the single pile diameter).
步骤5,使用代理模型代替原模型进行结构优化设计。 Step 5, use the proxy model instead of the original model for structural optimization design.
步骤6,对步骤5求得的优化设计采用原模型进行校核,确认其可行性和最优性,并校验收敛准则。如果不满足,则选择合适的加点准则添加样本点,更新代理模型,返回步骤5。如果满足,则优化迭代结束。Step 6: Check the optimal design obtained in Step 5 using the original model to confirm its feasibility and optimality, and check the convergence criteria. If it is not satisfied, select the appropriate point addition criterion to add sample points, update the proxy model, and return to step 5. If satisfied, the optimization iteration ends.
这里的收敛准则指:本轮和上轮得到的优化设计的响应值(塔架质量、单桩质量、整体支撑结构频率等物理量)差别是否在1%以内。The convergence criterion here refers to whether the difference between the response values (tower mass, single pile mass, overall support structure frequency, etc.) of the optimal design obtained in this round and the previous round is within 1%.
优化列式如下:The optimized columns are as follows:
find:塔底直径,单桩直径find: tower bottom diameter, single pile diameter
minimum:整体支撑结构质量minimum: overall support structure quality
subject to:subject to:
SRFULS_tower≥1SRFULS_tower≥1
SRFFLS_tower≥1SRFFLS_tower≥1
UCULS_foundation≤1 UCULS_foundation≤1
DamageFLS_foundation≤1 DamageFLS_foundation≤1
单桩基础的设计抗压承载力≤单桩基础的允许抗压承载力。The design compressive bearing capacity of the single pile foundation ≤ the allowable compressive bearing capacity of the single pile foundation.
单桩基础的设计变形值≤单桩基础的许用变形值。Design deformation value of single pile foundation ≤ allowable deformation value of single pile foundation.
表1 3-5MW海上风机支撑结构计算结果Table 1 Calculation results of 3-5MW offshore wind turbine support structure
Figure PCTCN2022077804-appb-000027
Figure PCTCN2022077804-appb-000027
表2 6-8MW海上风机支撑结构计算结果Table 2 Calculation results of 6-8MW offshore wind turbine support structure
Figure PCTCN2022077804-appb-000028
Figure PCTCN2022077804-appb-000028
表1和表2分别给出了基于代理模型优化算法给出的3-5MW和6-8MW海上风机支撑结构计算结果。其中,对于3-5MW机组,塔架最轻 的设计为D塔架=5.5m,D单桩=6.0m;整体支撑结构最轻的设计为D塔架=6.0m,D桩=6.5m。对于6-8MW机组,塔架最轻的设计为D塔架=6.5m,D单桩=8.5m;整体支撑结构最轻的设计为D塔架=7.0m,D桩=7.5m。Table 1 and Table 2 respectively show the calculation results of the support structure of 3-5MW and 6-8MW offshore wind turbines based on the optimization algorithm of the proxy model. Among them, for 3-5MW units, the lightest tower design is D tower = 5.5m, D single pile = 6.0m; the lightest design of the overall support structure is D tower = 6.0m, D pile = 6.5m. For 6-8MW units, the lightest design of the tower is D tower = 6.5m, D single pile = 8.5m; the lightest design of the overall support structure is D tower = 7.0m, D pile = 7.5m.
通过本示例可以得到的最优支撑结构的特征在于:The optimal support structure obtainable through this example is characterized by:
1)塔架最轻的设计不是整体支撑结构最轻的设计;1) The lightest design of the tower is not the lightest design of the overall support structure;
2)整体支撑结构最轻的设计所对应的塔架直径较大(3-5MW级别机组为6.0m,6-8MW机组为7.0m),且对应的单桩直径都比塔底直径大0.5m,即3-5MW级别机组为6.5m,6-8MW机组为7.5m。2) The lightest design of the overall support structure corresponds to a larger tower diameter (3-5MW unit is 6.0m, 6-8MW unit is 7.0m), and the corresponding single pile diameter is 0.5m larger than the tower bottom diameter , that is, 3-5MW units are 6.5m, and 6-8MW units are 7.5m.
基于代理模型的海上风机支撑结构优化设计系统,包括初始样本集合生成模块、结构性能响应获取模块、映射关系构建模块、优化模块、迭代校验模块;Proxy model-based optimization design system for offshore wind turbine support structure, including initial sample set generation module, structural performance response acquisition module, mapping relationship building module, optimization module, and iterative verification module;
初始样本集合生成模块基于风机支撑结构的设计变量,采用抽样方法在设计空间内生成初始样本集合;The initial sample set generation module is based on the design variables of the fan support structure, and adopts a sampling method to generate an initial sample set in the design space;
结构性能响应获取模块用于对所述初始样本集合中的每一个样本点进行数值模拟,得到相应的结构性能响应结果;The structural performance response acquisition module is used to numerically simulate each sample point in the initial sample set to obtain corresponding structural performance response results;
映射关系构建模块用于选择代理模型,基于所述初始样本集合和结构性能响应结果,采用所对应的拟合或插值方法建立根据初始样本集合和结构性能响应结果之间的映射关系;The mapping relationship building module is used to select a proxy model, and based on the initial sample set and the structural performance response results, use the corresponding fitting or interpolation method to establish a mapping relationship between the initial sample set and the structural performance response results;
优化模块使用代理模型进行结构优化设计,得到塔架和基础结构的初步设计结果,在进行结构优化设计时,在载荷计算后同时对塔架和基础结构进行校核和优化设计;The optimization module uses the proxy model for structural optimization design, and obtains the preliminary design results of the tower and foundation structure. When performing structural optimization design, the tower and foundation structure are checked and optimized at the same time after the load calculation;
迭代校验模块对所得初步设计结果采用数值仿真进行模拟,确认其可行性和最优性,并校验是否满足收敛准则;如果不满足收敛准则,则选择合适的加点准则添加样本点,更新代理模型,采用更新后的代理模型进行优化设计,直至满足收敛准则,则优化迭代结束。The iterative verification module uses numerical simulation to simulate the obtained preliminary design results, confirms its feasibility and optimality, and verifies whether the convergence criterion is met; if the convergence criterion is not satisfied, select the appropriate point addition criterion to add sample points and update the agent Model, using the updated surrogate model to optimize the design until the convergence criterion is met, then the optimization iteration ends.
本发明还提供一种计算机设备,包括处理器以及存储器,存储器用于存储计算机可执行程序,处理器从存储器中读取可执行程序并执行,处理 器执行计算机可执行程序时能实现本发明所述基于代理模型的海上风机支撑结构优化设计方法。The present invention also provides a computer device, including a processor and a memory, the memory is used to store a computer executable program, the processor reads and executes the executable program from the memory, and when the processor executes the computer executable program, the invention can be realized The optimization design method of offshore wind turbine support structure based on surrogate model is described.
所述计算机设备可以是笔记本电脑、平板电脑、桌面型计算机或工作站。The computer device may be a laptop, tablet, desktop or workstation.
处理器可以是中央处理器(CPU)、数字信号处理器(DSP)、专用集成电路(ASIC)或现成可编程门阵列(FPGA)。The processor can be a central processing unit (CPU), digital signal processor (DSP), application specific integrated circuit (ASIC), or off-the-shelf programmable gate array (FPGA).
对于本发明所述存储器,可以是笔记本电脑、平板电脑、桌面型计算机、手机或工作站的内部存储单元,如内存、硬盘;也可以采用外部存储单元,如移动硬盘、闪存卡。For the memory of the present invention, it can be an internal storage unit of a notebook computer, a tablet computer, a desktop computer, a mobile phone or a workstation, such as a memory, a hard disk; an external storage unit can also be used, such as a mobile hard disk, a flash memory card.

Claims (10)

  1. 一种基于代理模型的海上风机支撑结构优化设计方法,其特征在于,包括以下步骤:A method for optimal design of offshore wind turbine support structure based on proxy model, characterized in that it includes the following steps:
    基于确定风机支撑结构的设计变量,采用抽样方法在设计空间内生成初始样本集合;Based on determining the design variables of the wind turbine support structure, a sampling method is used to generate an initial sample set in the design space;
    对所述初始样本集合中的每一个样本点进行数值模拟,得到相应的结构性能响应结果;Perform numerical simulation on each sample point in the initial sample set to obtain corresponding structural performance response results;
    选择代理模型,基于所述初始样本集合和结构性能响应结果,采用所对应的拟合或插值方法建立根据初始样本集合和结构性能响应结果之间的映射关系;Selecting a proxy model, based on the initial sample set and the structural performance response results, using the corresponding fitting or interpolation method to establish a mapping relationship between the initial sample set and the structural performance response results;
    使用代理模型进行结构优化设计,得到塔架和基础结构的初步设计结果,在进行结构优化设计时,在载荷计算后同时对塔架和基础结构进行校核和优化设计;Use the proxy model for structural optimization design, and obtain the preliminary design results of the tower and foundation structure. When performing structural optimization design, check and optimize the design of the tower and foundation structure at the same time after load calculation;
    对所得初步设计结果采用数值仿真进行模拟,确认其可行性和最优性,并校验是否满足收敛准则;如果不满足收敛准则,则选择合适的加点准则添加样本点,更新代理模型,采用更新后的代理模型进行优化设计,直至满足收敛准则,则优化迭代结束。Use numerical simulation to simulate the obtained preliminary design results, confirm its feasibility and optimality, and check whether the convergence criterion is met; if the convergence criterion is not met, select the appropriate point addition criterion to add sample points, update the proxy model, and use the update The final proxy model is optimized until the convergence criterion is met, and the optimization iteration ends.
  2. 根据权利要求1所述的基于代理模型的海上风机支撑结构优化设计方法,其特征在于,所述设计变量为塔底直径和单桩直径;结构性能响应为塔架质量、单桩质量以及整体支撑结构频率。The method for optimal design of support structures for offshore wind turbines based on proxy models according to claim 1, wherein the design variables are the diameter of the tower bottom and the diameter of the single pile; the structural performance response is the mass of the tower, the mass of the single pile, and the overall support structure frequency.
  3. 根据权利要求1所述的基于代理模型的海上风机支撑结构优化设计方法,其特征在于,采用中心复合试验方法生成初始样本集合。The method for optimal design of support structures of offshore wind turbines based on surrogate models according to claim 1, wherein the initial sample set is generated by using a central composite test method.
  4. 根据权利要求1所述的基于代理模型的海上风机支撑结构优化设计方法,其特征在于,结构性能响应为塔架质量、单桩质量以及整体支撑结构频率。The proxy model-based optimization design method for offshore wind turbine support structures according to claim 1, wherein the structural performance response is tower mass, single pile mass, and overall support structure frequency.
  5. 根据权利要求1所述的基于代理模型的海上风机支撑结构优化设计方法,其特征在于,采用Kriging代理模型。The proxy model-based optimization design method for offshore wind turbine support structures according to claim 1, characterized in that a Kriging proxy model is used.
  6. 根据权利要求1所述的基于代理模型的海上风机支撑结构优化设计方法,其特征在于,所述收敛准则为:The proxy model-based optimization design method for offshore wind turbine support structures according to claim 1, wherein the convergence criterion is:
    Δ weigh/Weigh n-1≤1% Δ weight /Weigh n-1 ≤1%
    Δ frequency/Frequency n-1≤1% Δ frequency /Frequency n-1 ≤1%
    其中,Δ weigh/Weigh n-1≤1%表示本轮和上轮得到的优化设计的塔架质量、单桩质量差别是否在1%以内;Δ frequency/Frequency n-1≤1%表示本轮和上轮得到的优化设计的整体支撑结构频率差别是否在1%以内。 Among them, Δ weight /Weigh n-1 ≤ 1% means whether the difference between the optimally designed tower mass and single pile mass obtained in this round and the previous round is within 1%; Δ frequency /Frequency n-1 ≤ 1% means that the current round Whether the frequency difference of the overall support structure obtained from the optimized design obtained in the last round is within 1%.
  7. 根据权利要求1所述的基于代理模型的海上风机支撑结构优化设计方法,其特征在于,采用代理模型优化过程中的优化列式为:According to claim 1, the method for optimal design of support structures for offshore wind turbines based on proxy models is characterized in that the optimized column formula in the optimization process using the proxy model is:
    find:塔底和单桩基础的直径、壁厚、焊缝高度find: Diameter, wall thickness, weld height of tower bottom and monopile foundation
    minimum:整体支撑结构质量minimum: overall support structure quality
    subject to:subject to:
    SRFULS_tower≥1     ①SRFULS_tower≥1 ①
    SRFFLS_tower≥1     ②SRFFLS_tower≥1 ②
    UCULS_foundation≤1     ③UCULS_foundation≤1 ③
    DamageFLS_foundation≤1       ④DamageFLS_foundation≤1 ④
    单桩基础的设计抗压承载力≤单桩基础的允许抗压承载力  ⑤Design compressive bearing capacity of single pile foundation ≤ allowable compressive bearing capacity of single pile foundation ⑤
    单桩基础的设计变形值≤单桩基础的许用变形值   ⑥Design deformation value of single pile foundation ≤ allowable deformation value of single pile foundation ⑥
    其中:SRFULS_tower表示塔架结构在极限状态下的安全裕度;SRFFLS_tower表示塔架结构在疲劳状态下的安全裕度;UCULS_foundation表示单桩基础结构在极限状态下的单元指标;DamageFLS_foundation表示单桩基础结构的疲劳损伤。Among them: SRFULS_tower represents the safety margin of the tower structure in the limit state; SRFFLS_tower represents the safety margin of the tower structure in the fatigue state; UCULS_foundation represents the unit index of the single pile foundation structure in the limit state; DamageFLS_foundation represents the single pile foundation structure of fatigue damage.
  8. 根据权利要求1所述的基于代理模型的海上风机支撑结构优化设计方法,其特征在于,The method for optimal design of offshore wind turbine support structure based on proxy model according to claim 1, characterized in that,
    ①塔架最轻的设计不是整体支撑结构最轻的设计;① The lightest design of the tower is not the lightest design of the overall support structure;
    ②整体支撑结构最轻的设计所对应的塔架直径较大:3-5MW级别机组 为6.0m,6-8MW机组为7.0m,且对应的单桩直径都稍比塔底直径大0.5m-1.0m范围内,即3-5MW级别机组单桩直径为6.5-7.0m,6-8MW机组单桩直径为7.5-8.0m。② The lightest design of the overall support structure corresponds to a larger tower diameter: 6.0m for 3-5MW units, 7.0m for 6-8MW units, and the diameter of the corresponding single pile is slightly larger than the diameter of the tower bottom by 0.5m- Within the range of 1.0m, that is, the diameter of a single pile for a 3-5MW unit is 6.5-7.0m, and the diameter of a single pile for a 6-8MW unit is 7.5-8.0m.
  9. 基于代理模型的海上风机支撑结构优化设计系统,其特征在于,包括初始样本集合生成模块、结构性能响应获取模块、映射关系构建模块、优化模块、迭代校验模块;The offshore wind turbine support structure optimization design system based on the proxy model is characterized in that it includes an initial sample set generation module, a structural performance response acquisition module, a mapping relationship construction module, an optimization module, and an iterative verification module;
    初始样本集合生成模块基于风机支撑结构的设计变量,采用抽样方法在设计空间内生成初始样本集合;The initial sample set generation module is based on the design variables of the fan support structure, and adopts a sampling method to generate an initial sample set in the design space;
    结构性能响应获取模块用于对所述初始样本集合中的每一个样本点进行数值模拟,得到相应的结构性能响应结果;The structural performance response acquisition module is used to numerically simulate each sample point in the initial sample set to obtain corresponding structural performance response results;
    映射关系构建模块用于选择代理模型,基于所述初始样本集合和结构性能响应结果,采用所对应的拟合或插值方法建立根据初始样本集合和结构性能响应结果之间的映射关系;The mapping relationship building module is used to select a proxy model, and based on the initial sample set and the structural performance response results, use the corresponding fitting or interpolation method to establish a mapping relationship between the initial sample set and the structural performance response results;
    优化模块使用代理模型进行结构优化设计,得到塔架和基础结构的初步设计结果,在进行结构优化设计时,在载荷计算后同时对塔架和基础结构进行校核和优化设计;The optimization module uses the proxy model for structural optimization design, and obtains the preliminary design results of the tower and foundation structure. When performing structural optimization design, the tower and foundation structure are checked and optimized at the same time after the load calculation;
    迭代校验模块对所得初步设计结果采用数值仿真进行模拟,确认其可行性和最优性,并校验是否满足收敛准则;如果不满足收敛准则,则选择合适的加点准则添加样本点,更新代理模型,采用更新后的代理模型进行优化设计,直至满足收敛准则,则优化迭代结束。The iterative verification module uses numerical simulation to simulate the obtained preliminary design results, confirms its feasibility and optimality, and verifies whether the convergence criterion is met; if the convergence criterion is not satisfied, select the appropriate point addition criterion to add sample points and update the agent Model, using the updated surrogate model to optimize the design until the convergence criterion is met, then the optimization iteration ends.
  10. 一种计算机设备,其特征在于,包括处理器以及存储器,存储器用于存储计算机可执行程序,处理器从存储器中读取计算机可执行程序并执行,处理器执行计算机可执行程序时能实现权利要求1~8任一项所述基于代理模型的海上风机支撑结构优化设计方法。A computer device, characterized by comprising a processor and a memory, the memory is used to store a computer executable program, the processor reads and executes the computer executable program from the memory, and the claim can be realized when the processor executes the computer executable program The proxy model-based optimization design method for offshore wind turbine support structures described in any one of 1 to 8.
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