CN117541721B - Method and system for constructing three-dimensional model of power transformation equipment based on rotational symmetry - Google Patents
Method and system for constructing three-dimensional model of power transformation equipment based on rotational symmetry Download PDFInfo
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Abstract
The invention discloses a method and a system for constructing a three-dimensional model of power transformation equipment based on rotational symmetry, comprising the following steps: collecting power transformation equipment data; based on the power transformation equipment data, analyzing the rotational symmetry of the power transformation equipment to obtain a rotational symmetry analysis result; establishing a first basic model based on the power transformation equipment data and the analysis result; based on the analysis result, carrying out rotationally symmetric copying on the first basic model to obtain a second basic model; based on the power transformation equipment data, adding appearance characteristics of the power transformation equipment on the second basic model to obtain a three-dimensional model of the power transformation equipment; rendering the three-dimensional model to complete construction of the three-dimensional model of the transformer equipment based on rotational symmetry. The invention can generate the three-dimensional model of the power transformation equipment with accurate shape and structure, and can be used for simulation, design, visualization and other applications. By utilizing the rotational symmetry, the workload and complexity of model construction are reduced, and the efficiency and accuracy of model construction are improved.
Description
Technical Field
The invention belongs to the technical field of three-dimensional modeling and virtual simulation, and particularly relates to a method and a system for constructing a three-dimensional model of power transformation equipment based on rotational symmetry.
Background
In the power industry and the energy field, the power transformation equipment inevitably faces to the influence of a plurality of dangerous factors such as extreme weather, external force and the like when in operation, and the existing power transformation equipment is required to be maintained and upgraded at random. If the construction site environment is severe, some power transformation equipment contains ceramic components, the ceramic components are knocked and cracked to influence the subsequent normal use, the construction flow of the power transformation equipment is mainly described by characters, the construction drawing is based on a plan, and constructors cannot intuitively feel the whole construction flow and pay attention to dangerous control points in construction. There is an increasing demand for design, simulation and visualization applications of power transformation devices. In order to perform works such as power system planning, equipment layout, operation training and the like, an accurate three-dimensional model of the power transformation equipment is required. Traditional manual modeling methods are time consuming, laborious and prone to errors, and therefore require more efficient and accurate modeling methods. While the transformation device typically has rotational symmetry, i.e. the device remains the same shape and structure after a certain rotation around a certain axis of rotation. The characteristics can be used for simplifying the modeling process, reducing the workload and complexity and improving the modeling efficiency. Thus, the application of rotational symmetry to power transformation device modeling is a potential technological path.
Based on the background and technical conditions, how to utilize the rotational symmetry of the power transformation device to simplify the modeling process and improve the efficiency and accuracy of modeling. And determining a rotation symmetry axis by analyzing the characteristics and the structure of the power transformation equipment, and constructing and copying a model by utilizing symmetry. The method has great application potential in the field of three-dimensional model construction of the power transformation equipment, and can meet the requirements of the power industry on the high-quality, accurate and visual power transformation equipment model.
Disclosure of Invention
The invention aims to solve the defects of the prior art, and provides a three-dimensional model construction method and system for power transformation equipment based on rotational symmetry.
In order to achieve the above object, the present invention provides the following solutions:
a method for constructing a three-dimensional model of power transformation equipment based on rotational symmetry comprises the following steps:
s1: collecting power transformation equipment data;
S2: based on the power transformation equipment data, analyzing the rotational symmetry of the power transformation equipment to obtain a rotational symmetry analysis result;
s3: establishing a first basic model based on the power transformation equipment data and the analysis result;
S4: based on the analysis result, carrying out rotationally symmetric copying on the first basic model to obtain a second basic model;
s5: based on the power transformation equipment data, adding appearance characteristics of power transformation equipment on the second basic model to obtain a three-dimensional model of the power transformation equipment;
S6: rendering the three-dimensional model, completing construction of the three-dimensional model of the power transformation equipment based on rotational symmetry, and realizing layout planning of the power system based on the three-dimensional model.
Preferably, in step S1, the power transformation device data includes geometric data, size data, structure data, texture data, and texture data of the power transformation device.
Preferably, in step S2, the method for analyzing the rotational symmetry of the power transformation device includes:
In a three-dimensional space, carrying out rotation transformation on the power transformation equipment based on the power transformation equipment data;
obtaining a rotation matrix based on the rotation axis and the rotation angle of the rotation transformation;
Multiplying the three-dimensional point coordinates of the power transformation equipment by the rotation matrix to obtain rotated coordinates;
based on the rotated coordinates, obtaining the order of the rotational symmetry of the power transformation equipment;
Based on the orders, obtaining a relational expression between the rotation angle and the rotation shaft, and completing the rotation symmetry analysis of the power transformation equipment.
Preferably, the transformation of the rotation θ angle around the unit vector (u_x, u_y, u_z) centered on the origin, the corresponding rotation matrix is expressed as:
preferably, the relation between the rotation angle and the rotation axis is:
θ＝2π/n，
where θ is the rotation angle and n is the order of rotational symmetry.
The invention also provides a power transformation equipment three-dimensional model construction system based on rotational symmetry, which is applied to the three-dimensional model construction method and comprises an acquisition module, an analysis module, a first basic model construction module, a second basic model construction module, a three-dimensional model construction module and a rendering module;
The acquisition module is used for acquiring the data of the power transformation equipment;
The analysis module is used for analyzing the rotational symmetry of the power transformation equipment based on the power transformation equipment data to obtain a rotational symmetry analysis result;
The first basic model construction module is used for constructing a first basic model based on the power transformation equipment data and the analysis result;
The second basic model construction module is used for carrying out rotationally symmetrical copying on the first basic model based on the analysis result to obtain a second basic model;
the three-dimensional model building module is used for adding appearance characteristics of the power transformation equipment on the second basic model based on the power transformation equipment data to obtain a three-dimensional model of the power transformation equipment;
The rendering module is used for rendering the three-dimensional model, completing construction of the three-dimensional model of the power transformation equipment based on rotational symmetry, and realizing layout planning of the power system based on the three-dimensional model.
Preferably, the analysis module comprises a rotation transformation unit, a rotation matrix obtaining unit, a coordinate obtaining unit, an order obtaining unit and a relational expression obtaining unit;
The rotation transformation unit is used for performing rotation transformation on the power transformation equipment based on the power transformation equipment data in a three-dimensional space;
the rotation matrix obtaining unit is used for obtaining a rotation matrix based on the rotation axis and the rotation angle of the rotation transformation;
the coordinate obtaining unit is used for multiplying the three-dimensional point coordinates of the power transformation equipment by the rotation matrix to obtain rotated coordinates;
The order obtaining unit is used for obtaining the order of the rotation symmetry of the power transformation equipment based on the rotated coordinates;
The relational expression obtaining unit is used for obtaining the relational expression between the rotation angle and the rotation shaft based on the order, and completing the rotation symmetry analysis of the power transformation equipment.
Preferably, the transformation of the rotation θ angle around the unit vector (u_x, u_y, u_z) centered on the origin, the corresponding rotation matrix is expressed as:
Compared with the prior art, the invention has the beneficial effects that: the invention utilizes the rotational symmetry of the transformer equipment, determines the rotational symmetry axis by analyzing the geometric shape and structure of the equipment, and utilizes the symmetry to construct a model. The invention has the advantages that the workload and complexity of model construction can be reduced and the efficiency and accuracy of modeling can be improved by utilizing the rotational symmetry of the transformer equipment. The method mainly comprises the steps of data acquisition, rotational symmetry analysis, basic model establishment, rotational symmetry replication, model correction and combination, texture and material addition, rendering and optimization, model verification and optimization and the like. The three-dimensional model of the power transformation equipment with accurate shape and structure can be generated, and can be used for simulation, design, visualization and other applications. By utilizing the rotational symmetry, the workload and complexity of model construction are reduced, and the efficiency and accuracy of model construction are improved.
Drawings
In order to more clearly illustrate the technical solutions of the present invention, the drawings that are needed in the embodiments are briefly described below, and it is obvious that the drawings in the following description are only some embodiments of the present invention, and that other drawings can be obtained according to these drawings without inventive effort for a person skilled in the art.
Fig. 1 is a flowchart of a method for constructing a three-dimensional model of a power transformation device based on rotational symmetry according to an embodiment of the present invention;
FIG. 2 is a schematic diagram of a substation model evolution process according to an embodiment of the present invention;
FIG. 3 is a schematic view of a building image acquisition according to an embodiment of the present invention;
FIG. 4 is a schematic diagram of an embodiment of the present invention in a model assembly format;
FIG. 5 is a schematic view of a safe distance according to an embodiment of the present invention;
FIG. 6 is a schematic diagram of a device status flag according to an embodiment of the present invention.
Detailed Description
The following description of the embodiments of the present invention will be made clearly and completely with reference to the accompanying drawings, in which it is apparent that the embodiments described are only some embodiments of the present invention, but not all embodiments. All other embodiments, which can be made by those skilled in the art based on the embodiments of the invention without making any inventive effort, are intended to be within the scope of the invention.
In order that the above-recited objects, features and advantages of the present invention will become more readily apparent, a more particular description of the invention will be rendered by reference to the appended drawings and appended detailed description.
Example 1
As shown in fig. 1, a method for constructing a three-dimensional model of a power transformation device based on rotational symmetry includes the following steps:
S1: collecting power transformation equipment data; in a further embodiment, in step S1, the power transformation device data includes geometric data, size data, structure data, texture data, and texture data of the power transformation device. The data may be obtained by measurement, scanning, or using CAD software, etc.
S2: based on the power transformation equipment data, analyzing the rotational symmetry of the power transformation equipment to obtain a rotational symmetry analysis result; for a transformer device with rotational symmetry, the rotational symmetry axis can be determined by analyzing its geometry and structure. The rotation symmetry axis means that the device has the same shape and structure as the original position after rotating a certain angle.
And (3) rotationally symmetrical: the plane rotates around the point, and the space can also surround the point, but the plane can still collapse, so that the plane surrounds a straight line, and the natural 4-dimensional space can rotate around the plane. In three dimensions, a geometry has rotational symmetry, meaning that it can be rotated about an axis of rotation through a certain angle while still maintaining the same shape, size and configuration. The classical case is that n is modified, and the knowledge of this is said to be a further step when they are generated by rotation transformation with their edges or points. In the case of a circle, that is, any rotation angle is symmetrical, and an n-sided polygon naturally has symmetry of an integer multiple of its rotation angle 360/n. If from the generation angle, the rotation m/n (the simplest fraction) of a rational angle is required, the rotation n times 360/gcd (m, 360) times can be really returned to the original state, and the sealing performance is met. Otherwise, the root number of 2 degrees is easily proven and never returns. (note that 360-degree measure is used here, radian measure conclusion is similar), and finally, the point-center symmetry formula of the n-dimensional space object is given in this embodiment, namely, a special case of 180-degree rotation (rest symmetry angle is temporary), and it is found that the quasi-symmetry formula is also symmetrical and unchanged with the increase of dimensions, and still proceeds in a given plane:
Center of symmetry: a
x’＝2A–x (1)
The symmetrical result formula after the rotation arpha angle of the 1-dimensional rotation axis z-axis of the 3-dimensional space object naturally exists:
xi’＝sqrt(xi^2+xj^2)cos(arctan(xi/xj)+arpha) (2)
xj’＝sqrt(xi^2+xj^2)sin(arctan(xi/xj)+arpha) (3)
xk'＝xk (4)
Wherein xi ', xj ', xk ' are coordinates after rotational symmetry;
Further, a symmetric formula for the (n-2) dimensional rotation axis to the n-dimensional spatial object can be deduced.
In a further embodiment, in step S2, the method for analyzing the rotational symmetry of the power transformation device includes:
in the three-dimensional space, based on the transformation equipment data, carrying out rotation transformation on the transformation equipment;
obtaining a rotation matrix based on the rotation axis and the rotation angle of the rotation transformation;
Multiplying the three-dimensional point coordinates of the power transformation equipment by a rotation matrix to obtain rotated coordinates; i.e. the rotation matrix R can be used to rotate a three-dimensional point coordinate (x, y, z) by an angle θ around the axis (u_x, u_y, u_z) to obtain a new coordinate (x ', y ', z '). Specifically, the coordinates (x ', y ', z ') after rotation can be obtained by multiplying the point coordinates (x, y, z) by the rotation matrix R:
based on the rotated coordinates, obtaining the order of the rotational symmetry of the power transformation equipment;
Based on the orders, a relation between the rotation angle and the rotation axis is obtained, and the rotation symmetry analysis of the power transformation equipment is completed.
A further embodiment consists in a transformation of rotation by an angle θ around a unit vector (u_x, u_y, u_z) centered on the origin, the corresponding rotation matrix being expressed as:
in a further embodiment, the relation between the rotation angle and the rotation axis is:
θ＝2π/n， (7)
where θ is the rotation angle and n is the order of rotational symmetry.
S3: establishing a first basic model based on the power transformation equipment data and the analysis result; the model comprises the main structure and the basic geometry of the device, but does not contain rotationally symmetrical parts.
S4: based on the analysis result, carrying out rotationally symmetric copying on the first basic model to obtain a second basic model; specifically, the base model is rotated about an axis of rotational symmetry and replicated onto the symmetric locations. This step may be implemented using CAD software or programming. The replicated model maintains the same geometry and structure as the original model.
And carrying out detail correction and merging on the copied model. This includes adjusting the size, shape and position of each replica model to ensure accuracy and integrity of the overall model.
Specifically, regarding detail correction and merging:
the model that can build aligns and aligns with actual substation equipment to ensure the degree of matching of model and real scene. Alignment may be achieved using techniques such as corresponding point matching, ICP (Iterative Closest Point) algorithms, and the like. Or the model is corrected and adjusted according to the detailed characteristics of the actual power transformation equipment. This may include adding, deleting or modifying detailed parts of the model to make it closer to reality.
S5: based on the power transformation equipment data, adding appearance characteristics of the power transformation equipment on the second basic model to obtain a three-dimensional model of the power transformation equipment; and adding textures and materials on the model according to the appearance characteristics of the actual power transformation equipment. Texture and texture designs and additions can be made based on the acquired data or with reference to the actual device photograph.
S6: rendering the three-dimensional model, completing construction of the three-dimensional model of the power transformation equipment based on rotational symmetry, and realizing layout planning of the power system based on the three-dimensional model.
Rendering and optimizing: rendering the constructed three-dimensional model to enable the three-dimensional model to have a lifelike appearance. Parameters such as illumination effect, material reflection and the like can be adjusted so as to obtain better visual effect and sense of reality.
And verifying and optimizing the constructed three-dimensional model. The method can be compared with actual power transformation equipment, the accuracy and consistency of the model are checked, and correction and optimization are carried out according to the requirement.
Regarding verification and optimization: the constructed model can be visually compared with the real scene, and the accuracy and fidelity of the model can be checked. The image or point cloud data may be used for comparison, and the degree of matching of the model may be assessed by visual inspection or an automatic comparison algorithm. Or using the model to measure the size and comparing the size with the size of the actual power transformation equipment. This can be achieved by measuring key points, side lengths, diameters, etc. on the model to assess the accuracy of the model. Can be adjusted and expanded according to specific conditions to adapt to different verification and evaluation requirements. Meanwhile, it is important to communicate and cooperate with the domain expert and the actual user continuously to obtain accurate evaluation results and to continuously improve and optimize the model.
The power transformation equipment three-dimensional model construction method based on the rotational symmetry is suitable for power transformation equipment modeling requirements in the power industry and the energy field. It can be used in the following cases and application areas:
(1) Substation planning and design: in the planning and design stage of the power system, the power transformation equipment needs to be laid out and configured. The model construction method based on the rotational symmetry can quickly generate an accurate equipment model, and helps engineers to conduct planning and design work of the transformer substation.
(2) Optimizing equipment layout: in existing substations, optimization and adjustment of the equipment layout is required. By the method for constructing the model based on the rotational symmetry, a three-dimensional model of the equipment can be quickly generated, and layout optimization and visual analysis can be performed, so that the efficiency and reliability of the transformer substation are improved.
(3) Operation training and simulation: the model construction method based on the rotational symmetry can be used for developing operation training and simulation of the power transformation equipment. By generating an accurate three-dimensional model, the actual operating scene can be simulated, the operators can be trained and the skill level can be estimated.
(4) Fault analysis and removal: for a power transformation device with faults, a model construction method based on rotational symmetry can be used for fault analysis and elimination. By generating an accurate equipment model, fault simulation and analysis can be performed, helping engineers to quickly locate and solve problems.
Example two
The three-dimensional model construction method of the power transformation equipment based on the rotational symmetry can be applied to the design and modeling of various power transformation equipment:
(1) And (3) constructing a transformer model: transformers typically have rotational symmetry, which can be used to simplify their three-dimensional model construction. By defining the basic geometry of the transformer (e.g., cylinder, etc.), and combining the characteristics of rotational symmetry, a slice model can be created and replicated and rotated to construct a complete three-dimensional model of the transformer.
(2) And (3) constructing a switchgear model: switchgear (e.g., circuit breakers, disconnectors, etc.) typically have a rotationally symmetrical structure, which can be modeled using this feature. By defining the basic geometry of the switchgear and then copying and rotating it using a rotation operation, a complete three-dimensional model of the switchgear can be constructed.
(3) And (3) constructing a bracket and a framework model: brackets and architectures in substations often have rotational symmetry, which can be used to simplify their modeling process. By defining the basic geometry of the stent and architecture, and then by replication and rotation operations, a complex three-dimensional model of the stent and architecture can be quickly constructed.
(4) Constructing an insulator model: the insulator generally has a rotationally symmetrical shape, and can be modeled using the rotational symmetry. The basic geometric shapes (such as cones, cylinders and the like) of the insulator are defined, and then a complete three-dimensional model of the insulator can be constructed through copying and rotating operations.
By reasonably applying the rotational symmetry, the complexity of model construction can be reduced, the modeling efficiency can be improved, and the accuracy and rationality of the model can be maintained.
The method provided by the invention constructs a substation construction scheme early warning system:
the model evolution process of the transformer substation is shown in fig. 2-6:
The method comprises the steps of sequentially obtaining point cloud data, repairing a mold, deconstructing, binding, material and dragging, and obtaining rich high-resolution textures of the top surface and the side view of a building by synchronously collecting images from one vertical, four inclined and five different view angles.
The model adopts point cloud data, reverse modeling is completed, and centimeter-level precision is completely consistent with real equipment. The model is made in an assemblable form based on the physical structure. The equipment accuracy is not related to the part level.
The function of warning and monitoring the state of the equipment can be realized: the frame body of the warning area displays the safety distance from the nearest charged body of 5 meters and 8.5 meters respectively
The equipment state is divided into four types of power on/off, normal/maintenance, the red mark equipment is in a maintenance state, and the yellow is in a normal state.
The system forms a group of linkage switches by the current transformer and the switches between every two knife switches, and controls the numbers uniformly, thereby simplifying the operation flow. When all the devices in a group of linked switches are in a normal state, the switch can be electrified
Example III
The invention also provides a power transformation equipment three-dimensional model construction system based on rotational symmetry, which is applied to a three-dimensional model construction method and comprises an acquisition module, an analysis module, a first basic model construction module, a second basic model construction module, a three-dimensional model construction module and a rendering module;
the acquisition module is used for acquiring the data of the power transformation equipment;
the analysis module is used for analyzing the rotational symmetry of the power transformation equipment based on the power transformation equipment data and obtaining a rotational symmetry analysis result;
the first basic model construction module is used for building a first basic model based on the power transformation equipment data and the analysis result;
the second basic model construction module is used for carrying out rotationally symmetrical copying on the first basic model based on the analysis result to obtain a second basic model;
the three-dimensional model building module is used for adding appearance characteristics of the power transformation equipment on the second basic model based on the power transformation equipment data to obtain a three-dimensional model of the power transformation equipment;
The rendering module is used for rendering the three-dimensional model, completing construction of the three-dimensional model of the power transformation equipment based on rotational symmetry, and realizing layout planning of the power system based on the three-dimensional model.
A further embodiment is that the analysis module comprises a rotation transformation unit, a rotation matrix obtaining unit, a coordinate obtaining unit, an order obtaining unit and a relational expression obtaining unit;
the rotation transformation unit is used for carrying out rotation transformation on the power transformation equipment based on the power transformation equipment data in the three-dimensional space;
a rotation matrix obtaining unit for obtaining a rotation matrix based on the rotation axis and the rotation angle of the rotation transformation;
the coordinate obtaining unit is used for multiplying the three-dimensional point coordinates of the power transformation equipment by the rotation matrix to obtain rotated coordinates;
an order obtaining unit for obtaining an order of rotational symmetry of the power transformation device based on the rotated coordinates;
And the relational expression obtaining unit is used for obtaining the relational expression between the rotation angle and the rotation shaft based on the order and completing the rotation symmetry analysis of the power transformation equipment.
A further embodiment consists in a transformation of rotation by an angle θ around a unit vector (u_x, u_y, u_z) centered on the origin, the corresponding rotation matrix being expressed as:
The above embodiments are merely illustrative of the preferred embodiments of the present invention, and the scope of the present invention is not limited thereto, but various modifications and improvements made by those skilled in the art to which the present invention pertains are made without departing from the spirit of the present invention, and all modifications and improvements fall within the scope of the present invention as defined in the appended claims.
Claims (6)
1. The method for constructing the three-dimensional model of the power transformation equipment based on the rotational symmetry is characterized by comprising the following steps of:
S1: collecting power transformation equipment data; in step S1, the power transformation device data includes geometric shape data, size data, structure data, texture data and material data of the power transformation device;
S2: based on the power transformation equipment data, analyzing the rotational symmetry of the power transformation equipment to obtain a rotational symmetry analysis result; in step S2, the method for analyzing the rotational symmetry of the transformer apparatus includes:
In a three-dimensional space, carrying out rotation transformation on the power transformation equipment based on the power transformation equipment data;
obtaining a rotation matrix based on the rotation axis and the rotation angle of the rotation transformation;
Multiplying the three-dimensional point coordinates of the power transformation equipment by the rotation matrix to obtain rotated coordinates;
based on the rotated coordinates, obtaining the order of the rotational symmetry of the power transformation equipment;
based on the orders, obtaining a relational expression between the rotation angle and the rotation shaft, and completing the rotation symmetry analysis of the power transformation equipment;
s3: establishing a first basic model based on the power transformation equipment data and the analysis result; the first base model comprises a body structure and a basic geometry of the device, excluding rotationally symmetric parts;
S4: based on the analysis result, carrying out rotationally symmetric copying on the first basic model to obtain a second basic model;
s5: based on the power transformation equipment data, adding appearance characteristics of power transformation equipment on the second basic model to obtain a three-dimensional model of the power transformation equipment;
S6: rendering the three-dimensional model, completing construction of the three-dimensional model of the power transformation equipment based on rotational symmetry, and realizing layout planning of the power system based on the three-dimensional model.
2. The method for constructing a three-dimensional model of a transformation device based on rotational symmetry according to claim 1, characterized in that the transformation by an angle θ is rotated around a unit vector (u_x, u_y, u_z) centered on an origin, and the corresponding rotation matrix is expressed as:
3. The method for constructing a three-dimensional model of a power transformation device based on rotational symmetry according to claim 1, wherein the relation between the rotation angle and the rotation axis is:
θ＝2π/n，
where θ is the rotation angle and n is the order of rotational symmetry.
4. A transformation equipment three-dimensional model construction system based on rotational symmetry, which is applied to the three-dimensional model construction method of any one of claims 1-3, and is characterized by comprising an acquisition module, an analysis module, a first basic model construction module, a second basic model construction module, a three-dimensional model construction module and a rendering module;
The acquisition module is used for acquiring the data of the power transformation equipment;
The analysis module is used for analyzing the rotational symmetry of the power transformation equipment based on the power transformation equipment data to obtain a rotational symmetry analysis result;
The first basic model construction module is used for constructing a first basic model based on the power transformation equipment data and the analysis result;
The second basic model construction module is used for carrying out rotationally symmetrical copying on the first basic model based on the analysis result to obtain a second basic model;
the three-dimensional model building module is used for adding appearance characteristics of the power transformation equipment on the second basic model based on the power transformation equipment data to obtain a three-dimensional model of the power transformation equipment;
The rendering module is used for rendering the three-dimensional model, completing construction of the three-dimensional model of the power transformation equipment based on rotational symmetry, and realizing layout planning of the power system based on the three-dimensional model.
5. The three-dimensional model construction system of the power transformation equipment based on the rotational symmetry according to claim 4, wherein the analysis module comprises a rotation transformation unit, a rotation matrix obtaining unit, a coordinate obtaining unit, an order obtaining unit and a relational expression obtaining unit;
The rotation transformation unit is used for performing rotation transformation on the power transformation equipment based on the power transformation equipment data in a three-dimensional space;
the rotation matrix obtaining unit is used for obtaining a rotation matrix based on the rotation axis and the rotation angle of the rotation transformation;
the coordinate obtaining unit is used for multiplying the three-dimensional point coordinates of the power transformation equipment by the rotation matrix to obtain rotated coordinates;
The order obtaining unit is used for obtaining the order of the rotation symmetry of the power transformation equipment based on the rotated coordinates;
The relational expression obtaining unit is used for obtaining the relational expression between the rotation angle and the rotation shaft based on the order, and completing the rotation symmetry analysis of the power transformation equipment.
6. The system for constructing a three-dimensional model of a transformation device based on rotational symmetry according to claim 4, characterized in that the transformation by an angle θ is rotated around a unit vector (u_x, u_y, u_z) centered on the origin, and the corresponding rotation matrix is expressed as:
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