Umbilical cable cross-section layout optimization method based on SLSQP
Through the optimization method of umbilical cord cable cross-section layout based on SLSQP, the problems of low efficiency and high cost in the traditional method are solved, and efficient optimization of umbilical cord cable cross-section layout is achieved, and better design results are obtained.
Patent Information
- Application Number
- CN202411110464.8
- Authority / Receiving Office
- CN · China
- Patent Type
- Patents(China)
- Current Assignee / Owner
- Filing Date
- 2024-08-14
- Publication Date
- 2025-05-09
- Estimated Expiration
- 2044-08-14
AI Technical Summary
The traditional umbilical cable cross-section layout optimization method has problems of low layout efficiency and high cost, and it is difficult to effectively solve the multi-objective nonlinear constraints in umbilical cable design.
The umbilical cable cross-section layout optimization method is adopted based on SLSQP. By determining the basic parameters of functional components, defining the optimization objective function and constraints, establishing the SLSQP algorithm optimization model, optimizing the umbilical cable cross-section layout, improving design efficiency and reducing costs.
It realizes efficient optimization of the cross-sectional layout of umbilical cord cable, improves design speed, obtains better geometric and mechanical properties, and reduces design cycle and cost.
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Figure CN119026341B_ABST
Abstract
Description
Technical Field
[0001] The present invention relates to the technical field of umbilical cable cross-section optimization, and in particular to an umbilical cable cross-section layout optimization method based on SLSQP. Background Art
[0002] With the development of society, the national economy is growing rapidly, and the utilization rate of energy resources is also increasing. Considering the problem of depleted energy on land, researchers have turned their attention to marine energy. The umbilical cable, one of the important equipment connecting the facilities of the marine energy production system, has the title of "lifeline". The umbilical cable is a product used for deepwater oil and gas exploration and development. It is a combination of cables (power cables or signal cables), optical cables (single-mode or multi-mode optical cables), and hydraulic or chemical pipes (steel pipes or hoses). It can not only provide power and hydraulic channels for the underwater production system, but also provide chemical pipelines required for oil and gas field development, and transmit control signals of upper modules and sensor data of underwater production systems. The umbilical cable has the characteristics of high integration, and its cross-sectional layout directly affects the performance of the umbilical cable. Therefore, how to design an umbilical cable cross-section that meets the performance is an important issue in the design process of the umbilical cable.
[0003] Traditional umbilical cable cross-section layout optimization methods usually use various optimization algorithms to perform layout optimization. The umbilical cable cross-section layout design is a typical multi-objective problem with nonlinear constraints. Therefore, traditional layout optimization methods have the problems of low layout efficiency and high cost. Summary of the invention
[0004] Based on this, in order to solve the above technical problems, a SLSQP-based umbilical cable cross-section layout optimization method is provided, which can improve the umbilical cable cross-section layout efficiency and reduce the layout cost.
[0005] An umbilical cable cross-section layout optimization method based on SLSQP, the method comprising:
[0006] Determine the functional components of the umbilical cable cross section, obtain basic parameters of each of the functional components, and randomly generate an initial layout of the umbilical cable cross section based on the basic parameters;
[0007] Determine the cross-sectional layout radius, the distance between the center of gravity of the whole center of gravity formed by each of the functional components and the geometric center of gravity of the cross-sectional area of the umbilical cable, the symmetry comprehensive index, and the cross-sectional layout tangency index based on the basic parameters, define a first optimization objective function according to the cross-sectional layout radius, define a second optimization objective function according to the center of gravity distance, define a third optimization objective function according to the symmetry comprehensive index, and define a fourth optimization objective function according to the cross-sectional layout tangency index;
[0008] Calculating component variables of each of the functional components according to the basic parameters, and establishing constraint conditions corresponding to the component variables;
[0009] Based on the first optimization objective function, the second optimization objective function, the third optimization objective function, the fourth optimization objective function, and the constraint conditions, an SLSQP algorithm optimization model is established;
[0010] The basic parameters are input into the SLSQP algorithm optimization model to obtain optimized functional component parameters, and the initial cross-section layout of the umbilical cable is optimized based on the optimized functional component parameters to obtain an optimized cross-section layout of the umbilical cable.
[0011] In one embodiment, determining the functional components of the umbilical cable cross section and obtaining basic parameters of each of the functional components includes:
[0012] Determine the coordinates of the center point, establish a Cartesian rectangular coordinate system according to the coordinates of the center point, and determine the center coordinates of all functional components on the cross section of the umbilical cable based on the Cartesian rectangular coordinate system;
[0013] Determining component radius and mass ratio based on each of the functional components;
[0014] The component radius and mass ratio are taken as basic parameters.
[0015] In one embodiment, the method further comprises:
[0016] Based on the functional components, extracting each of the center coordinates, and respectively calculating the coordinate distances between each of the center coordinates;
[0017] Calculating a central symmetry index based on the coordinate distance;
[0018] Determine a distance set according to the center coordinates, and calculate a distance average according to the distance set;
[0019] An axisymmetry index is calculated based on the distance average.
[0020] In one embodiment, the method further comprises:
[0021] Obtain the weight of the central symmetry index and the weight of the axial symmetry index;
[0022] The comprehensive symmetry index is calculated according to the central symmetry index weight, the axial symmetry index weight, the central symmetry index and the axial symmetry index.
[0023] In one embodiment, the constraint condition is: (x i -x j )2 +(y i -y j ) 2 ≥(R i +R j +0.1) 2 ; Among them, (x i ,y i )、(x j ,y j ) are the center coordinates of the i-th and j-th functional components, R i , R j is the radius of the i-th and j-th functional components.
[0024] In one embodiment, the fourth optimization objective function is: f4=min S, Where R is the cross-sectional layout radius, (x i ,y i ) is the center coordinate of the ith functional component.
[0025] In one of the embodiments, the first optimization objective function is: f1=min R; wherein R is the cross-sectional layout radius.
[0026] In one embodiment, the second optimization objective function is: f2=min I; wherein I is the center of gravity distance.
[0027] In one of the embodiments, the third optimization objective function is: f3=min(Symmetry Index); wherein Symmetry Index is the comprehensive symmetry index.
[0028] The above-mentioned SLSQP-based umbilical cable cross-section layout optimization method obtains basic parameters by determining functional components, randomly generates an initial layout, defines the optimization objective function according to the basic parameters, constructs the SLSQP algorithm optimization model after establishing constraints, and optimizes the umbilical cable cross-section layout to obtain the optimal umbilical cable cross-section layout; using the SLSQP algorithm for optimization can improve the solution speed and quickly obtain the optimal umbilical cable layout. BRIEF DESCRIPTION OF THE DRAWINGS
[0029] Figure 1 FIG. 1 is an application environment diagram of an umbilical cable cross-section layout optimization method based on SLSQP in one embodiment;
[0030] Figure 2 It is a schematic flow chart of an umbilical cable cross-section layout optimization method based on SLSQP in one embodiment;
[0031] Figure 3A schematic diagram of the coordinates of the center positions of the components of the umbilical cable cross section in one embodiment;
[0032] Figure 4 Schematic diagram of four cross-sectional layout forms in one embodiment;
[0033] Figure 5 It is a flowchart of an umbilical cable cross-section layout optimization method based on SLSQP in one embodiment;
[0034] Figure 6 FIG. 4 is a diagram showing the internal structure of a computer device in one embodiment. DETAILED DESCRIPTION
[0035] In order to make the purpose, technical solution and advantages of the present application more clearly understood, the present application is further described in detail below in conjunction with the accompanying drawings and embodiments. It should be understood that the specific embodiments described herein are only used to explain the present application and are not used to limit the present application.
[0036] It is understood that the terms "first", "second", etc. used in this application may be used herein to describe optimization objective functions, but these optimization objective functions are not limited by these terms. These terms are only used to distinguish a first optimization objective function from another optimization objective function. For example, without departing from the scope of this application, the first optimization objective function may be referred to as the second optimization objective function, and similarly, the second optimization objective function may be referred to as the first optimization objective function. Both the first optimization objective function and the second optimization objective function are optimization objective functions, but they are not the same optimization objective function.
[0037] The umbilical cable cross-section layout optimization method based on SLSQP provided in the embodiment of the present application can be applied to Figure 1 In the application environment shown. Figure 1As shown, the application environment includes a computer device 110 . The functional components of the umbilical cable cross section can be determined according to actual needs, and the basic parameters of each functional component can be obtained, and the initial layout of the umbilical cable cross section can be randomly generated based on the basic parameters; the computer device 110 can determine the cross section layout radius, the center of gravity distance between the overall center of gravity formed by each functional component and the geometric center of gravity of the umbilical cable cross section, the symmetry comprehensive index, and the cross section layout tangency index based on the basic parameters, define the first optimization objective function according to the cross section layout radius, define the second optimization objective function according to the center of gravity distance, define the third optimization objective function according to the symmetry comprehensive index, and define the fourth optimization objective function according to the cross section layout tangency index; the computer device 110 can calculate the component variables of each functional component according to the basic parameters, and establish the constraint conditions corresponding to the component variables; the computer device 110 can establish the SLSQP algorithm optimization model based on the first optimization objective function, the second optimization objective function, the third optimization objective function, the fourth optimization objective function, and the constraint conditions; the computer device 110 can input the basic parameters into the SLSQP algorithm optimization model to obtain the optimized functional component parameters, and optimize the initial layout of the umbilical cable cross section based on the optimized functional component parameters to obtain the optimized umbilical cable cross section layout. The computer device 110 may be, but is not limited to, various personal computers, notebook computers, and other devices.
[0038] In one embodiment, Figure 2 As shown, a method for optimizing the cross-section layout of an umbilical cable based on SLSQP is provided, comprising the following steps:
[0039] Step 202, determining the functional components of the umbilical cable cross section, and obtaining basic parameters of each functional component, and randomly generating an initial layout of the umbilical cable cross section based on the basic parameters.
[0040] The functional components of the umbilical cable section may be components such as steel pipes, cables, etc. In this embodiment, the design variables may be extracted according to the optimization target requirements, thereby converting the complex umbilical cable section layout design problem into a mathematical problem with continuous design variables.
[0041] Specifically, in one embodiment, a SLSQP-based umbilical cable cross-section layout optimization method is provided that may include a process of obtaining various basic parameters, and the specific process includes: determining the center point coordinates, establishing a Cartesian rectangular coordinate system based on the center point coordinates, and determining the center coordinates of all functional components on the umbilical cable cross-section based on the Cartesian rectangular coordinate system; calculating the cross-sectional layout radius of the umbilical cable cross-section based on the center coordinates; determining the component radius and mass ratio based on each functional component; and using the component radius and mass ratio as basic parameters.
[0042] Among them, a point can be selected as the center point coordinate to establish a Cartesian rectangular coordinate system, and the continuous design variables are the coordinates of the center positions of all functional components on the umbilical cable section. Figure 3 As shown in the figure, for example, assuming that the umbilical cable has a steel pipe and b cables, their radii are r a and r b The center coordinates of the steel pipe and cable are represented by (x, y), and all functional components will be enclosed in a large circle with a radius of R to form the cross-sectional layout of the umbilical cable.
[0043] Step 204, based on the basic parameters, the cross-sectional layout radius, the distance between the center of gravity of the whole center of gravity formed by each functional component and the geometric center of gravity of the umbilical cable cross section, the symmetry comprehensive index, and the cross-sectional layout tangency index are determined, and the first optimization objective function is defined according to the cross-sectional layout radius, the second optimization objective function is defined according to the center of gravity distance, the third optimization objective function is defined according to the symmetry comprehensive index, and the fourth optimization objective function is defined according to the cross-sectional layout tangency index. The cross-sectional layout of the umbilical cable should have a certain load-bearing balance.
[0044] The gravity center distance can be the distance I between the overall gravity center formed by each functional component and the geometric gravity center of the umbilical cable section. The balance of the load-bearing capacity of the umbilical cable section layout depends on the gravity center distance. That is, the better the load-bearing balance of the umbilical cable section layout, the better the ability of its section to resist torsional and bending loads.
[0045] In one embodiment, a SLSQP-based umbilical cable cross-section layout optimization method provided may also include a process of calculating a central symmetry index and an axial symmetry index, and the specific process includes: extracting central coordinates based on functional components, and calculating the coordinate distances between the central coordinates respectively; calculating the central symmetry index based on the coordinate distance; determining a distance set based on the central coordinates, and calculating a distance average based on the distance set; and calculating the axial symmetry index based on the distance average.
[0046] In this embodiment, since the symmetrical umbilical cable has better mechanical strength and durability and generally has a longer service life, the cross-sectional layout of the umbilical cable should have a certain degree of symmetry.
[0047] Specifically, a comprehensive index combining central symmetry and axial symmetry can be used to quantify symmetry. The central symmetry index can be expressed as: Among them, (x i ,y i ) is the center coordinate of the i-th functional component, C x and C y are the x- and y-coordinates of the center point C, is the distance d iThe average value of all calculated distances d i A collection of .
[0048] The axisymmetry index can be expressed as: Among them, (x i ,y i )、(x j ,y j ) is the center coordinate of the i-th and j-th functional components, and E represents the center coordinate of all distances d ij A set of, μ is the distance d ij The average value of .
[0049] In one embodiment, a provided SLSQP-based umbilical cable cross-section layout optimization method may also include a process of calculating a comprehensive symmetry index, and the specific process includes: obtaining a central symmetry index weight and an axial symmetry index weight; calculating a comprehensive symmetry index based on the central symmetry index weight, the axial symmetry index weight, the central symmetry index, and the axial symmetry index.
[0050] Among them, the comprehensive symmetry index can be expressed as:
[0051] Symmetry Index=Weight Center ×Center Symmetry+Weight Axis ×Axis Symmetry;
[0052] Among them, Weitht Center 、Weight Axis is the weight of the central symmetry index and the axial symmetry index, Weight Axis , AxisSymmetry is the value of the central symmetry and axial symmetry indicators.
[0053] Step 206, calculating the component variables of each functional component according to the basic parameters, and establishing constraint conditions corresponding to the component variables.
[0054] Specifically, in one embodiment, the constraint condition is: (x i -x j ) 2 +(y i -y j ) 2 ≥(R i +R j +0.1) 2 ; Among them, (x i ,y i )、(x j ,y j ) are the center coordinates of the i-th and j-th functional components, Ri , R j is the radius of the i-th and j-th functional components.
[0055] Step 208, based on the first optimization objective function, the second optimization objective function, the third optimization objective function, the fourth optimization objective function, and the constraint conditions, establish an SLSQP algorithm optimization model.
[0056] In one embodiment, the first optimization objective function is: f1=min R; wherein R is the cross-sectional layout radius. In this embodiment, since the compactly laid out umbilical cable can not only reduce the cost, but also effectively improve the radial stiffness and tensile strength of the umbilical cable, thereby improving the ability of the umbilical cable to resist the ultimate load in harsh environments. Therefore, the cross-sectional layout should be as compact as possible, and on this basis, the first optimization objective function f1 is proposed.
[0057] In one embodiment, the second optimization objective function is: f2=min I; wherein I is the distance of the center of gravity. In this embodiment, since the balance of the load-bearing capacity of the umbilical cable cross-sectional layout depends on the distance I between the overall center of gravity formed by each functional component and the geometric center of gravity of the umbilical cable cross-sectional layout. The better the load-bearing balance of the umbilical cable cross-sectional layout, the better the ability of the cross-sectional layout to resist torsion and bending loads. Therefore, the cross-sectional layout of the umbilical cable should have a certain load-bearing balance, on this basis, the second optimization objective function f2 is proposed.
[0058] In one embodiment, the third optimization objective function is: f3=min(Symmetry Index); wherein Symmetry Index is a comprehensive index of symmetry. A symmetric umbilical cable has better mechanical strength and durability, and generally has a longer service life. Therefore, the cross-sectional layout of the umbilical cable should have a certain degree of symmetry, and a comprehensive index combining central symmetry and axial symmetry is used to quantify the symmetry.
[0059] In one embodiment, the fourth optimization objective function is: f4=min S, Where R is the cross-sectional layout radius, (x i ,y i ) is the center coordinate of the i-th functional component. Among them, since the tangency between the armored steel wire and the outer sheath of the umbilical cable is an important design criterion, this design ensures that the umbilical cable can evenly transfer the force to the armored steel wire when subjected to external force, prevents the occurrence of stress concentration, and reduces the risk of damage. Therefore, the cross-sectional layout of the umbilical cable should have a certain tangency. On this basis, the fourth optimization objective function f4 is proposed.
[0060] After determining the first, second, third and fourth optimization objective functions, a weight, i.e., the weighting coefficient, is assigned to each objective through the weighted method, and the multi-objective problem of umbilical cable cross-section layout is transformed into a single-objective optimization problem: min:f=w1f1+w2f2+w3f3+w4f4, where w1+w2+w3+w4=1.
[0061] Step 210, inputting the basic parameters into the SLSQP algorithm optimization model to obtain optimized functional component parameters, and optimizing the initial cross-section layout of the umbilical cable based on the optimized functional component parameters to obtain an optimized cross-section layout of the umbilical cable.
[0062] After the SLSQP algorithm optimization model is established, the calculation and solution can be performed according to the corresponding solution process in the internal logic of the SLSQP algorithm optimization model.
[0063] In one embodiment, the basic parameters of the functional components are input to randomly generate an initial layout, and the feasible solution of the center coordinates of each component in the initial layout is determined as the initial value. Specifically, the optimization objective function is defined according to the quantitative index, and the cross-sectional layout of the umbilical cable is optimized by calling the SLSQP algorithm to obtain the optimal cross-sectional layout of the umbilical cable.
[0064] The present application provides an umbilical cable cross-section layout optimization method based on SLSQP, which aims at the multi-objective requirements of compactness, balance, symmetry, tangency and the problem of relying on long-term experience to design the umbilical cable cross-section. The initial layout is randomly generated according to the basic parameters of the functional components, and the optimization objectives are quantitatively analyzed and constraints are established. The SLSQP algorithm is an algorithm for solving nonlinear optimization problems, and is particularly suitable for optimization problems with constraints. Based on the characteristics of the SLSQP algorithm, by optimizing the initial layout using the SLSQP algorithm, an umbilical cable cross-section layout with better geometric and mechanical properties can be obtained. Based on the SLSQP algorithm, the uncertainty of relying on long-term experience for design can be avoided, and there is no need to have sufficient experience in the design of the umbilical cable cross-section, which helps to improve design efficiency, save design cycles, and reduce costs, and provides a feasible way for the optimization design method of the umbilical cable cross-section layout.
[0065] In one embodiment, an umbilical cable including 5 steel pipes and 5 cables is taken as an example to design the cross-sectional layout of the umbilical cable. The basic parameters of each functional component are shown in the following table. These parameters are substituted into the cross-sectional layout optimization design algorithm of the marine umbilical cable for calculation to obtain the initial layout.
[0066]
[0067] By inputting the basic parameters of the functional components into the corresponding array, the initial layout can be obtained, such as Figure 4As shown in (a), through iterative calculation, three hierarchical layout forms considering the above four objectives can be obtained, such as Figure 4 (b)-(d) are shown, from which the minimum envelope circle radius, offset distance I, symmetry index and tangency index S are extracted, as shown in the following table:
[0068]
[0069] In one embodiment, the overall process of an umbilical cable cross-section layout optimization method based on SLSQP is provided as follows: Figure 5 As shown in the figure: by determining the center coordinates, basic parameters, quality and other data of the functional components, the initial layout of the umbilical cable section is randomly generated, and then the layout is optimized by the SLSQP algorithm, and the optimized umbilical cable section layout is drawn according to the center coordinates and basic parameters of each optimized functional component. Among them, the process of layout optimization by the SLSQP algorithm includes: calling the optimization loop function, then defining the objective function, setting the initial basic parameters, defining the constraints, calling the minimize function, and using the SLSQP algorithm for layout optimization.
[0070] It should be understood that, although the various steps in the above-mentioned flow chart are displayed in sequence according to the indication of the arrows, these steps are not necessarily executed in sequence according to the order indicated by the arrows. Unless there is a clear explanation in this article, the execution of these steps is not strictly limited in order, and these steps can be executed in other orders. Moreover, at least a part of the steps in the above-mentioned flow chart may include a plurality of sub-steps or a plurality of stages, and these sub-steps or stages are not necessarily executed at the same time, but can be executed at different times, and the execution order of these sub-steps or stages is not necessarily to be carried out in sequence, but can be executed in turn or alternately with other steps or at least a part of the sub-steps or stages of other steps.
[0071] In one embodiment, a computer device is provided. The computer device may be a terminal, and its internal structure diagram may be as follows: Figure 6As shown. The computer device includes a processor, a memory, a network interface, a display screen and an input device connected through a system bus. Among them, the processor of the computer device is used to provide computing and control capabilities. The memory of the computer device includes a non-volatile storage medium and an internal memory. The non-volatile storage medium stores an operating system and a computer program. The internal memory provides an environment for the operation of the operating system and the computer program in the non-volatile storage medium. The network interface of the computer device is used to communicate with an external terminal through a network connection. When the computer program is executed by the processor, a method for optimizing the cross-section layout of an umbilical cable based on SLSQP is implemented. The display screen of the computer device can be a liquid crystal display screen or an electronic ink display screen, and the input device of the computer device can be a touch layer covered on the display screen, or a key, trackball or touchpad set on the computer device housing, or an external keyboard, touchpad or mouse, etc.
[0072] Those skilled in the art will understand that Figure 6 The structure shown in the figure is only a block diagram of a part of the structure related to the solution of the present application, and does not constitute a limitation on the computer device to which the solution of the present application is applied. The specific computer device may include more or fewer components than those shown in the figure, or combine certain components, or have a different arrangement of components.
[0073] The technical features of the above embodiments may be arbitrarily combined. To make the description concise, not all possible combinations of the technical features in the above embodiments are described. However, as long as there is no contradiction in the combination of these technical features, they should be considered to be within the scope of this specification.
[0074] The above-mentioned embodiments only express several implementation methods of the present application, and the descriptions thereof are relatively specific and detailed, but they cannot be understood as limiting the scope of the invention patent. It should be pointed out that, for a person of ordinary skill in the art, several variations and improvements can be made without departing from the concept of the present application, and these all belong to the protection scope of the present application. Therefore, the protection scope of the patent of the present application shall be subject to the attached claims.
Claims
1. An umbilical cable cross-section layout optimization method based on SLSQP, characterized in that: The method comprises: Determine the functional components of the cross section of the umbilical cable and obtain basic parameters of each of the functional components, including: determine the coordinates of the center point, establish a Cartesian rectangular coordinate system according to the coordinates of the center point, and determine the center coordinates of all functional components on the cross section of the umbilical cable based on the Cartesian rectangular coordinate system; determine the component radius and mass ratio based on each of the functional components; use the component radius and mass ratio as basic parameters; randomly generate an initial layout of the cross section of the umbilical cable based on the basic parameters; Based on the basic parameters, the cross-sectional layout radius, the distance between the center of gravity of the whole center formed by each functional component and the geometric center of gravity of the umbilical cable cross section, the symmetry comprehensive index, and the cross-sectional layout tangency index are determined; a first optimization objective function is defined according to the cross-sectional layout radius, a second optimization objective function is defined according to the center of gravity distance, a third optimization objective function is defined according to the symmetry comprehensive index, and a fourth optimization objective function is defined according to the cross-sectional layout tangency index; including: based on the functional components, extracting each of the center coordinates, and calculating the coordinate distance between each of the center coordinates respectively; calculating the center symmetry index based on the coordinate distance; determining a distance set based on the center coordinates, and calculating the distance average based on the distance set; calculating the axial symmetry index based on the distance average; obtaining the center symmetry index weight and the axial symmetry index weight; calculating the symmetry comprehensive index based on the center symmetry index weight, the axial symmetry index weight, the center symmetry index, and the axial symmetry index; Calculating component variables of each of the functional components according to the basic parameters, and establishing constraint conditions corresponding to the component variables; Based on the first optimization objective function, the second optimization objective function, the third optimization objective function, the fourth optimization objective function, and the constraint conditions, an SLSQP algorithm optimization model is established; The basic parameters are input into the SLSQP algorithm optimization model to obtain optimized functional component parameters, and the initial cross-section layout of the umbilical cable is optimized based on the optimized functional component parameters to obtain an optimized cross-section layout of the umbilical cable.
2. The umbilical cable cross-section layout optimization method based on SLSQP according to claim 1, characterized in that: The constraints are: (x i -x j ) 2 +(y i -y j ) 2 ≥(R i +R j +0.1) 2 ; Among them, (x i ,y i )、(x j ,y j ) are the center coordinates of the i-th and j-th functional components, R i , R j is the radius of the i-th and j-th functional components.
3. The umbilical cable cross-section layout optimization method based on SLSQP according to claim 2 is characterized in that: The fourth optimization objective function is: f4 = min S, Where R is the cross-sectional layout radius, (x i ,y i ) is the center coordinate of the ith functional component.
4. The umbilical cable cross-section layout optimization method based on SLSQP according to claim 1, characterized in that: The first optimization objective function is: f1=min R, where R is the cross-section layout radius.
5. The umbilical cable cross-section layout optimization method based on SLSQP according to claim 1, characterized in that: The second optimization objective function is: f2=min I, where I is the center of gravity distance.
6. The SLSQP-based umbilical cable cross-section layout optimization method according to claim 1, characterized in that: The third optimization objective function is: f3=min(Symmetry Index); wherein Symmetry Index is the comprehensive symmetry index.