A method for constructing and simulating an equivalent impedance model of charged water and related devices
By discrete charged water bodies into basic units and constructing an equivalent impedance network model, the problem of insufficient accuracy of water bodies in the prior art is solved, and the accurate simulation of the dynamic behavior of water bodies is achieved.
Patent Information
- Application Number
- CN202411828385.0
- Authority / Receiving Office
- CN · China
- Patent Type
- Patents(China)
- Current Assignee / Owner
- Filing Date
- 2024-12-12
- Publication Date
- 2025-03-25
- Estimated Expiration
- 2044-12-12
AI Technical Summary
When the existing water equivalent model simulates the impact of water bodies on current propagation under leakage, the accuracy is not high enough to accurately capture the dynamic behavior of water bodies.
By discrete charged water bodies into multiple basic units and constructing a linear system of equations based on the categories of nodes, an equivalent impedance network model of charged water bodies is constructed, and the state of the water bodies is determined.
This method reduces the complexity of parameters and mathematical expressions, reduces modeling time-consuming, and can accurately simulate the behavior of water bodies in any instantaneous state, and displays the time-varying characteristics of current and voltage in the water body in detail.
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Figure CN119294151B_ABST
Abstract
Description
Technical Field
[0001] The present disclosure relates to the technical field of simulation modeling, and in particular to a construction and simulation method of an equivalent impedance model of a charged water body and related devices. Background Art
[0002] The water equivalent model is a method used to simulate the effect of water on leakage current in power systems. In power systems, leakage current occurs when there is a leakage situation, such as equipment insulation failure or external reasons causing current to flow to conductive media such as the ground or water. The water equivalent model is designed to help simulate and predict the effect of water on current propagation in leakage situations. This model is usually implemented by abstracting the water body as an equivalent circuit element. By considering parameters such as the conductivity and dielectric constant of the water body, the corresponding equivalent circuit model can be established to appropriately simulate the effect of water in power system analysis. The water equivalent model plays an important role in the field of electrical engineering, especially in electrical design and safety assessment involving equipment on the ground or in water. Using an accurate water equivalent model can better understand the effect of water in leakage situations and help engineers design safer and more reliable power systems.
[0003] The existing water body equivalent model is based on the water body equivalent model method of finite element analysis. The water body is discretized into a finite number of units, and the current characteristics of each unit can be obtained through mathematical modeling. Then the distribution of the electric field, including the propagation of charge and current density, is solved by the finite element method. This method requires a large number of parameters and complex mathematical expressions to describe the characteristics of the water body, consumes a lot of computing resources, has a high computing cost, makes the modeling process complicated, and is difficult to accurately describe nonlinear behavior, resulting in insufficient accuracy, limited simulation capabilities for dynamic processes, and unable to accurately capture the true behavior of the water body. Summary of the invention
[0004] The present disclosure aims to at least solve the technical problems existing in the prior art, such as insufficient precision, limited simulation capability of dynamic processes, and inability to accurately capture the real behavior of water bodies.
[0005] To this end, an object of the present disclosure is to propose a method for constructing and simulating an equivalent impedance model of a charged water body, the method comprising:
[0006] Discretize the charged water body into a plurality of basic units, wherein the basic unit includes a plurality of nodes;
[0007] Based on the category of the node, obtain a linear equation system of the node;
[0008] Based on the linear equations, an equivalent impedance network model of a charged water body is constructed;
[0009] Based on the equivalent impedance network model of the charged water body, the state of the charged water body is determined.
[0010] In some embodiments, based on the category of the node, a linear equation system of the node is obtained;
[0011] Based on the relationship between the current of each impedance branch in the basic unit and the voltage of the plurality of nodes, a basic equation of the node is obtained;
[0012] Based on the category of the node, obtaining a boundary equation of the node;
[0013] Based on the basic equation and the boundary equation, a linear equation group of the node is obtained.
[0014] In some embodiments, based on the relationship between the current of each impedance branch in the basic unit and the voltage of the plurality of nodes, obtaining the basic equation of the node includes:
[0015] Based on the relationship between the current of each impedance branch in the basic unit and the voltage of the plurality of nodes, obtaining the voltage equation of the node;
[0016] Based on the relationship between the ratio of the micro-increment of the current to the micro-increment of the time and the derivative of the current with respect to time, the voltage equation of the node is converted into the basic equation of the node.
[0017] In some embodiments, based on the equivalent impedance network model of the charged water body, determining the state of the charged water body includes:
[0018] Determining a state vector of the basic unit based on an equivalent impedance network model of the charged water body;
[0019] Based on the state vector, the electric potential of the charged water body to the earth and the leakage current of the charged water body are analyzed.
[0020] In some embodiments, the basic unit is a tetrahedral structure, and each node of the basic unit is respectively connected to three impedances.
[0021] In some embodiments, the category of the node is determined based on the location of the node in the base unit, whether the node is grounded, or whether the node has an external power supply connected.
[0022] In some embodiments, the nodes include internal nodes, upper boundary nodes and lower boundary nodes, the internal nodes are arranged inside the charged water body, the upper boundary nodes are arranged at the upper edge of the charged water body, and the lower boundary nodes are arranged at the lower edge of the charged water body.
[0023] Another object of the present disclosure is to provide a construction and simulation device for an equivalent impedance model of a charged water body, comprising:
[0024] A discrete module, used for discretizing the charged water body into a plurality of basic units, wherein the basic unit includes a plurality of nodes;
[0025] A linear equation group acquisition module, used for acquiring the linear equation group of the node based on the category of the node;
[0026] A model building module, used for building an equivalent impedance network model of a charged water body based on the linear equations;
[0027] The analysis module is used to determine the state of the charged water body based on the equivalent impedance network model of the charged water body.
[0028] Wherein, the linear equations acquisition module includes:
[0029] A basic equation acquisition unit is used to acquire the basic equation of a node based on Ohm's law;
[0030] A boundary equation acquisition unit, used for acquiring the boundary equation of the node based on the current conservation law and the type of the node;
[0031] The linear equation group obtaining unit is used to obtain the linear equation group of the node based on the basic equation and the boundary equation.
[0032] Wherein, the basic equation acquisition unit comprises:
[0033] The voltage equation acquisition subunit is used to obtain the voltage equation of the node based on Ohm's law;
[0034] The basic equation conversion subunit is used to convert the voltage equation of the node into the basic equation of the node based on the ratio of the micro-increment of the current to the micro-increment of the time and the relationship between the derivative of the current with respect to time.
[0035] Another object of the present disclosure is to provide a storage medium, wherein the computer program is executed by a processor to perform the steps of the above method.
[0036] Another object of the present disclosure is to provide an electronic device, comprising at least a memory and a processor, wherein a computer program is stored in the memory, and the processor implements the steps of the above method when executing the computer program in the memory.
[0037] The present disclosure provides a method for constructing and simulating a charged water body equivalent impedance model and a related device, which have the following beneficial effects:
[0038] By discretizing the charged water body into multiple basic units and constructing a set of linear equations based on the categories of the nodes of the basic units, the equivalent impedance network model of the charged water body is obtained. The water body characteristics are described by the state vector of each basic unit, which reduces the complexity of parameters and mathematical expressions, reduces the time consumption of modeling, and can accurately simulate the behavior of water bodies under any instantaneous state. It can also show the time-varying characteristics of current and voltage in the water body in detail, which helps to accurately identify the true behavior of water bodies in the case of leakage. BRIEF DESCRIPTION OF THE DRAWINGS
[0039] In order to more clearly illustrate the embodiments of the present disclosure or the technical solutions in the prior art, the drawings required for use in the embodiments or the description of the prior art will be briefly introduced below. Obviously, the drawings described below are only some embodiments recorded in the present disclosure. For ordinary technicians in this field, other drawings can be obtained based on these drawings without paying creative labor.
[0040] Figure 1 is a schematic diagram of the structure of the basic unit in the embodiment of the present disclosure;
[0041] Figure 2 is a schematic diagram of the structure of the internal nodes in the embodiment of the present disclosure;
[0042] Figure 3 is a schematic diagram of the structure of the upper boundary node in the embodiment of the present disclosure;
[0043] Figure 4 is a schematic diagram of the structure of the upper boundary grounding node in the embodiment of the present disclosure;
[0044] Figure 5 is a schematic structural diagram of an upper boundary insulation node in an embodiment of the present disclosure;
[0045] Figure 6 is a schematic diagram of the structure of the lower boundary node in the embodiment of the present disclosure;
[0046] Reference numerals:
[0047] 1. Internal node; 2. Upper boundary node; 21. Upper boundary grounding node; 22. Upper boundary insulation node; 3. Lower boundary node; 31. Lower boundary insulation node; 4. Basic unit. DETAILED DESCRIPTION
[0048] Various aspects and features of the present disclosure are described herein with reference to the drawings.
[0049] It should be understood that various modifications may be made to the embodiments of the present application. Therefore, the above description should not be considered as limiting, but only as an example of an embodiment. Other modifications within the scope and spirit of the present disclosure will occur to those skilled in the art.
[0050] The accompanying drawings, which are incorporated in and constitute a part of the specification, illustrate embodiments of the present disclosure and, together with the general description of the present disclosure given above and the detailed description of the embodiments given below, serve to explain the principles of the present disclosure.
[0051] These and other characteristics of the present disclosure will become apparent from the following description of a preferred form of embodiment given as a non-limiting example, with reference to the attached drawings.
[0052] It should also be understood that, although the present disclosure has been described with reference to some specific examples, those skilled in the art will be able to realize many other equivalent forms of the present disclosure that have the features described in the claims and are therefore within the scope of protection defined thereby.
[0053] The above and other aspects, features and advantages of the present disclosure will become more apparent from the following detailed description when taken in conjunction with the accompanying drawings.
[0054] Specific embodiments of the present disclosure are described hereinafter with reference to the accompanying drawings; however, it should be understood that the embodiments claimed are merely examples of the present disclosure, which may be implemented in a variety of ways. Well-known and / or repeated functions and structures are not described in detail to avoid obscuring the present disclosure with unnecessary or redundant details. Therefore, the specific structural and functional details claimed herein are not intended to be limiting, but merely serve as a basis and representative basis for the claims to teach those skilled in the art to use the present disclosure in a variety of ways with substantially any suitable detailed structure.
[0055] The first embodiment of the present disclosure provides a method for constructing and simulating an equivalent impedance model of a charged water body, the method comprising:
[0056] S1: Discretize the charged water body into a plurality of basic units 4, where the basic unit 4 includes a plurality of nodes.
[0057] A three-dimensional spatial coordinate system is established on the charged water body, and the three-dimensional spatial coordinate system has an x-axis, a y-axis and a z-axis that are perpendicular to each other. The charged water body is discretized into multiple basic units 4, and the number of layers of the basic unit 4 on the x-axis, y-axis and z-axis are M, N and L respectively.
[0058] like Figure 1 As shown, the basic unit 4 here is a tetrahedral structure, and each vertex of the tetrahedral structure is a node, that is, the basic unit 4 has a total of 4 nodes, and each node of the basic unit 4 is connected to the other 3 nodes through an impedance branch. Each impedance branch is provided with an impedance Z, which can be expressed as , is the resistance of the water unit 4, is the reactance of the basic unit 4. In this embodiment, the resistance and reactance are known conditions. Assume that one of the nodes is , inflow node The currents in the three impedance branches are , and ,node The node voltage is ,in, =1, 2, 3, ..., M; =1, 2, 3, ..., N; =1,2,3,……,L.
[0059] This scheme divides the charged water body into multiple basic units 4, which can simulate the non-uniformity of the water body, adapt to water bodies of different shapes, facilitate detailed analysis of any position of the water body, and has extremely high flexibility.
[0060] S2: Based on the category of the node, obtain the linear equation system of the node.
[0061] Specifically include:
[0062] S201: Based on the relationship between the current of each impedance branch in the unit and the voltage of multiple nodes, a basic equation of the node is obtained.
[0063] Specifically, the basic equation of the node is obtained based on Ohm's law. Ohm's law states that the current passing through a certain conductor is proportional to the voltage across the conductor and inversely proportional to the resistance of the conductor. It can be expressed as ,in, is the current, is the voltage, It's a resistor.
[0064] S2011: Based on the relationship between the current of each impedance branch in the basic unit and the voltage of the plurality of nodes, a voltage equation of the node is obtained.
[0065] Specifically, based on Ohm's law, the voltage equation of the node is obtained, assuming that the node is , the voltage equation is:
[0066] in, Is a node The voltage, Is a node The basic unit 4 and the node The voltage of the adjacent node, is the resistor, is the inductor, , Is with the node The impedance branch current of the basic unit 4 adjacent to the basic unit 4 where it is located.
[0067] S2012: Based on the ratio of the micro-increment of current to the micro-increment of time and the relationship between the derivative of current with respect to time, the voltage equation of the node is converted into the basic equation of the node.
[0068] Specifically, the micro-increment of current refers to the increment of the sampled current at this moment compared with the adjacent moment (such as the previous moment). Suppose the sampling time is , the count at the sampling time point is used It is expressed in formula as:
[0069] , the ratio of the current increment to the time increment is approximately the derivative of the current with respect to time, which is expressed as follows:
[0070] ,
[0071] .
[0072] Based on the ratio of the current increment to the time increment and the relationship between the current derivative with respect to time, the voltage equation of the above node is transformed into the basic equation of the node:
[0073] ,
[0074] .
[0075] S202: Based on the law of conservation of current and the type of the node, obtain the boundary equation of the node.
[0076] Specifically, the category of the node is determined based on the location of the node in the basic unit 4, whether the node is grounded, or whether the node has an external power supply connected.
[0077] The nodes include internal nodes 1, upper boundary nodes 2 and lower boundary nodes 3.
[0078] like Figure 2 As shown, the internal node 1 here refers to the node set inside the charged water body. The internal node 1 includes a passive node, an active node and an internal grounding node.
[0079] The passive nodes here are nodes without external power supply, that is, without specific boundary conditions. The boundary equations for such nodes based on the law of conservation of current can be considered as:
[0080] ;
[0081] in, The current injected into the node from the outside. Here, the current injected into the node from the outside refers to the current introduced into the water body. For example, if the insulation of the equipment fails or external reasons cause the current to flow to the ground or other conductive media such as water bodies, the imported current may be injected into different nodes.
[0082] For the above passive nodes, .
[0083] Therefore, the boundary equation of the passive node is:
[0084] ;
[0085] The active node here refers to the node that has an external power supply connected, and the node voltage is the external power supply voltage , therefore, the boundary equation of the internal active node is: ,Right now .
[0086] The internal ground node here is equivalent to a power supply with an external voltage of 0, so the boundary equation is: .
[0087] like Figure 3-Figure 5 As shown, the upper boundary node 2 is set at the upper edge of the charged water body, which specifically refers to the node located at the label , or The upper boundary node 2 includes an upper boundary grounding node 21 and an upper boundary insulating node 22 .
[0088] Here, the upper boundary grounding node 21 is the location connected to the earth, which is equivalent to a power supply with an external voltage of 0. Therefore, there is .
[0089] The voltage of the upper boundary grounding node 21 is 0. If the node is located at the upper boundary of the x-axis, that is, = M, the voltage of the next node on the x-axis should also be 0, so there is a boundary condition: .
[0090] Analyzing the voltage equation, one of the voltage equations of the upper boundary grounding node 21 is: ;
[0091] In addition, the upper boundary grounding node 21 is connected to the earth. , the above formula is equivalent to .
[0092] If the node is at the boundary of the y-axis, = N, the voltage of the next node on the y-axis should also be 0, so there is a boundary condition: .
[0093] Analyzing the voltage equation, one of the voltage equations of the upper boundary grounding node 21 is:
[0094] ;
[0095] In addition, the upper boundary grounding node 21 is connected to the earth. , the above formula is equivalent to .
[0096] If the node is at the z-axis boundary, = L, the voltage of the next node on the z-axis should also be 0, so there is a boundary condition: .
[0097] Analyzing the voltage equation, the voltage equation of the upper boundary grounding node 21 is:
[0098] In addition, the upper boundary grounding node 21 is connected to the earth. , the above formula is equivalent to .
[0099] The upper boundary insulation node 22 is a node located at the impedance branch connecting the insulation body.
[0100] If the upper boundary node 2 is insulated, the impedance branch current in this direction is 0. If the upper boundary insulated node 22 is located at the x-axis boundary, that is, = M, there are boundary conditions , the boundary equation is: ;
[0101] If the upper boundary isolation node 22 is located at the y-axis boundary, that is, = N, there are boundary conditions , the boundary equation is: .
[0102] If the upper boundary isolation node 22 is located at the z-axis boundary, that is, =L, there is a boundary condition , the boundary equation is .
[0103] The lower boundary node 3 is set at the lower edge of the charged water body, which is specifically located at the label , or is the edge node with the minimum value. Figure 6 As shown, the lower boundary node 3 includes a lower boundary grounding node and a lower boundary insulation node 31 .
[0104] The lower boundary ground node here is equivalent to a power supply with an external voltage of 0, so the boundary equation is: .
[0105] The lower boundary insulation node 31 is a node located at the lower boundary resistance branch connecting the insulator. Since the lower boundary insulation node 31 is located at the lower boundary, there is no external injection current, and no impedance branch current from the basic unit 4 below flows in.
[0106] If the lower boundary insulation node 31 is at the lower boundary of the x-axis ( = 1), then the flow into (1, , ) node current is only and , so the boundary conditions of this node include , therefore, the boundary equation of this node is:
[0107] , which can be further transformed into:
[0108] .
[0109] If the lower boundary insulation node 31 is at the lower boundary of the y-axis ( = 1), then the inflow ( ,1, ) node has only and , then the boundary conditions include , therefore, the boundary equation of this node is:
[0110] , which can be further converted to .
[0111] If the lower boundary insulation node 31 is at the lower boundary of the z-axis ( = 1), then the inflow ( , ,1) The current of the node is only and , then the boundary conditions include , therefore, the boundary equation of this node is:
[0112] , which can be further converted to:
[0113] .
[0114] S203: Based on the basic equation and the boundary equation, a linear equation group of the node is obtained.
[0115] For the passive node in internal node 1, combining the basic equation and boundary equation, the linear equation system of the node is:
[0116] .
[0117] For the active node in internal node 1, combining the basic equation and boundary equation, the linear equation system of the node is:
[0118] ,
[0119] .
[0120] For the internal ground node node in the internal node 1, combining the basic equation and the boundary equation, the linear equation system of this node is:
[0121] ,
[0122] .
[0123] For the upper boundary ground node 21 in the upper boundary node 2:
[0124] If the upper boundary grounding node 21 is located at the upper boundary of the x-axis, combining the basic equation and the boundary equation, the linear equation group of the node is:
[0125] ,
[0126] .
[0127] If the upper boundary grounding node 21 is located at the upper boundary of the y-axis, combining the basic equation and the boundary equation, the linear equation group of the node is:
[0128] ;
[0129] ,
[0130] .
[0131] If the upper boundary grounding node 21 is located at the upper boundary of the z-axis, combining the basic equation and the boundary equation, the linear equation group of the node is:
[0132] ,
[0133] .
[0134] For the upper boundary insulation node 22 in the upper boundary node 2, the upper boundary node 2 is insulated, and the impedance branch current in this direction is 0, that is: if the node is located at the x-axis boundary, that is = M, there are boundary conditions , which is one of the basic equations:
[0135] ;
[0136] Can be further converted to: ;
[0137] That is, for the upper boundary insulation node 22 located at the upper boundary of the x-axis, the linear equation group of the node is as follows:
[0138] ,
[0139] ,
[0140] .
[0141] If the node is at the boundary of the y-axis, = N, there are boundary conditions , which is one of the basic equations:
[0142] ;
[0143] It can be further transformed into the equation ;
[0144] That is, for the upper boundary insulation node 22 located at the upper boundary of the y-axis, the linear equation group of the node is as follows:
[0145] ,
[0146] .
[0147] If the node is at the z-axis boundary, = L, there is a boundary condition , which is one of the basic equations:
[0148] Can be further converted to: .
[0149] That is, for the upper boundary insulation node 22 located at the upper boundary of the z-axis, the linear equation group of the node is as follows:
[0150] ,
[0151] .
[0152] For the lower boundary grounding node in the lower boundary node 3, combining the basic equation and the boundary equation, the linear equation group of this node is:
[0153] ,
[0154] .
[0155] For the lower boundary insulation node 31 located at the lower boundary of the x-axis, the linear equation group of the node is as follows:
[0156] ,
[0157] .
[0158] For the lower boundary insulation node 31 located at the lower boundary of the y-axis, the linear equation group of the node is as follows:
[0159] ,
[0160] .
[0161] For the lower boundary insulation node 31 located at the lower boundary of the z-axis, the linear equation group of the node is as follows:
[0162] ,
[0163] .
[0164] The above methods can handle complex boundary conditions and help simulate more realistic and complex water systems.
[0165] S3: Based on the linear equations, an equivalent impedance network model of charged water body is constructed.
[0166] Specifically include: Based on the linear equations, convert the linear equations into matrix equations ,The coefficients and variables of the linear equations are then converted into matrix form, and the equivalent impedance network model of charged water body is constructed.
[0167] Since the state of each node is only related to the states of its adjacent nodes, the matrix A is a sparse matrix. Y is a vector consisting of the terms in the linear equations except the state vector, including the current values at the previous moment, the external power supply voltage, etc.
[0168] Multiple basic units 4 construct an equivalent impedance network model of charged water body through matrix equations, which reduces the complexity of parameters and mathematical expressions and reduces the time consumption of modeling.
[0169] S4: Determine the state of the charged water body based on the equivalent impedance network model of the charged water body.
[0170] S401: Determine the state vector of the basic unit 4 based on the equivalent impedance network model of the charged water body.
[0171] Solving Linear Equations , we can get the unique solution of each node state, where It is composed of the state vectors of each node arranged and connected.
[0172] , with a total of 4×M×N×L rows. A is a matrix of coefficients of the linear equations (4MNL×4MNL), and the unique solution is the state vector of each node:
[0173] The state vector represents the voltage at the node and the current data of the three impedance branches.
[0174] S402: Based on the state vector, analyze the electric potential of the charged water body to the earth and the leakage current of the charged water body.
[0175] For the active node of internal node 1, the internal ground node, the upper boundary ground node 21 and the lower boundary ground node, there may be external injection current After calculating the state variables of each node, the external injection current of each node is calculated as follows:
[0176] .
[0177] By analyzing the voltage value in the state vector of the node, the electric potential of the charged water body to the earth can be estimated; by analyzing the current in the three impedance branches of the node, the leakage current of the charged water body can be estimated.
[0178] The water impedance network model can accurately capture the behavior of water at any time, present the time-varying characteristics of current and voltage in the water in detail, and effectively simulate the dynamic process.
[0179] The model simplifies parameters and mathematical expressions, improves modeling efficiency, can accurately capture the behavior of water at any time, fully display the time-varying characteristics of current and voltage in water, and effectively simulate dynamic processes. In addition, the model takes into account complex boundary conditions, more accurately simulates actual water bodies, and provides a powerful tool for leakage prevention and protection.
[0180] Based on the same inventive concept as the first embodiment above, the second embodiment of the present disclosure provides a coordinated control device for a fully mechanized mining face management and control system, comprising:
[0181] A discrete module, used for discretizing the charged water body into a plurality of basic units 4, wherein the basic unit 4 includes a plurality of nodes;
[0182] A linear equation group acquisition module is used to acquire the linear equation group of a node based on Ohm's law, the law of conservation of current and the category of the node;
[0183] A model building module for obtaining an equivalent impedance network model of a charged water body based on a system of linear equations;
[0184] The analysis module is used to obtain the state vector of the basic unit 4 based on the equivalent impedance network model of the charged water body and to perform simulation and analysis based on the state vector.
[0185] Furthermore, the linear equations acquisition module includes:
[0186] A basic equation acquisition unit is used to acquire the basic equation of a node based on Ohm's law;
[0187] A boundary equation acquisition unit, used for acquiring the boundary equation of the node based on the current conservation law and the type of the node;
[0188] The linear equation group obtaining unit is used to obtain the linear equation group of the node based on the basic equation and the boundary equation.
[0189] Furthermore, the basic equation acquisition unit includes:
[0190] The voltage equation acquisition subunit is used to obtain the voltage equation of the node based on Ohm's law;
[0191] The basic equation conversion subunit is used to convert the voltage equation of the node into the basic equation of the node based on the ratio of the micro-increment of the current to the micro-increment of the time and the relationship between the derivative of the current with respect to time.
[0192] Furthermore, the analysis module includes:
[0193] A state vector acquisition unit, used for acquiring a state vector of the basic unit 4 based on an equivalent impedance network model of a charged water body;
[0194] The analysis unit is used for analyzing the electric potential of the charged water body to the earth and analyzing the leakage current based on the state vector.
[0195] In this embodiment, the charged water body is discretized into multiple basic units 4, and a linear equation group is constructed based on the category of the nodes of the basic unit 4, thereby obtaining an equivalent impedance network model of the charged water body. The state vector of each basic unit 4 is used to describe the water body characteristics, thereby reducing the complexity of parameters and mathematical expressions, reducing the time consumption of modeling, and being able to accurately simulate the water body behavior under any instantaneous state, and meticulously display the time-varying characteristics of the current and voltage in the water body, which helps to accurately identify the true behavior of the water body in the case of leakage and improve efficiency.
[0196] The model simplifies parameters and mathematical expressions, improves modeling efficiency, can accurately capture the behavior of water at any time, fully display the time-varying characteristics of current and voltage in water, and effectively simulate dynamic processes. In addition, the model takes into account complex boundary conditions, more accurately simulates actual water bodies, and provides a powerful tool for leakage prevention and protection.
[0197] A third embodiment of the present disclosure provides a storage medium storing a computer program. When the computer program is executed by a processor, the steps of implementing the above method include:
[0198] S11: discretizing the charged water body into a plurality of basic units 4, where the basic unit 4 includes a plurality of nodes;
[0199] S12: based on Ohm's law, the law of conservation of current and the category of the node, obtain the linear equation group of the node;
[0200] S13: Based on the linear equations, the equivalent impedance network model of the charged water body is obtained;
[0201] S14: Based on the equivalent impedance network model of the charged water body, the state vector of the basic unit 4 is obtained and simulation and analysis are performed based on the state vector.
[0202] Of course, other steps of the control method can also be used to implement the above embodiment.
[0203] In this embodiment, the charged water body is discretized into multiple basic units 4, and a linear equation group is constructed based on the category of the nodes of the basic unit 4, thereby obtaining an equivalent impedance network model of the charged water body. The state vector of each basic unit 4 is used to describe the water body characteristics, thereby reducing the complexity of parameters and mathematical expressions, reducing the time consumption of modeling, and being able to accurately simulate the water body behavior under any instantaneous state, and meticulously display the time-varying characteristics of the current and voltage in the water body, which helps to accurately identify the true behavior of the water body in the case of leakage and improve efficiency.
[0204] The model simplifies parameters and mathematical expressions, improves modeling efficiency, can accurately capture the behavior of water at any time, fully display the time-varying characteristics of current and voltage in water, and effectively simulate dynamic processes. In addition, the model takes into account complex boundary conditions, more accurately simulates actual water bodies, and provides a powerful tool for leakage prevention and protection.
[0205] A fourth embodiment of the present disclosure provides an electronic device, the electronic device comprising at least a memory and a processor, the memory storing a computer program, and the processor implementing the steps of the above method when executing the computer program on the memory, specifically comprising:
[0206] S21: discretizing the charged water body into a plurality of basic units 4, where the basic unit 4 includes a plurality of nodes;
[0207] S22: based on Ohm's law, current conservation law and node category, obtain the linear equation group of the node;
[0208] S23: Obtain the equivalent impedance network model of the charged water body based on the linear equation system;
[0209] S24: Based on the equivalent impedance network model of the charged water body, the state vector of the basic unit 4 is obtained and simulation and analysis are performed based on the state vector.
[0210] Of course, other steps of the control method can also be used to implement the above embodiment.
[0211] In this embodiment, the charged water body is discretized into multiple basic units 4, and a linear equation group is constructed based on the category of the nodes of the basic unit 4, thereby obtaining an equivalent impedance network model of the charged water body. The state vector of each basic unit 4 is used to describe the water body characteristics, thereby reducing the complexity of parameters and mathematical expressions, reducing the time consumption of modeling, and being able to accurately simulate the water body behavior under any instantaneous state, and meticulously display the time-varying characteristics of the current and voltage in the water body, which helps to accurately identify the true behavior of the water body in the case of leakage and improve efficiency.
[0212] The model simplifies parameters and mathematical expressions, improves modeling efficiency, can accurately capture the behavior of water at any time, fully display the time-varying characteristics of current and voltage in water, and effectively simulate dynamic processes. In addition, the model takes into account complex boundary conditions, more accurately simulates actual water bodies, and provides a powerful tool for leakage prevention and protection.
[0213] Those skilled in the art can clearly understand that, for the convenience and simplicity of description, only the division of the above-mentioned functional units and modules is used as an example for illustration. In practical applications, the above-mentioned function allocation can be completed by different functional units and modules as needed, that is, the internal structure of the device can be divided into different functional units or modules to complete all or part of the functions described above. The functional units and modules in the embodiment can be integrated into a processing unit, or each unit can exist physically separately, or two or more units can be integrated into one unit. The above-mentioned integrated unit can be implemented in the form of hardware or in the form of software functional units. In addition, the specific construction and simulation method of a charged water body equivalent impedance model of each functional unit and module is only for the convenience of distinguishing each other, and is not used to limit the scope of protection of this application. The specific working process of the units and modules in the above-mentioned system can refer to the corresponding process in the aforementioned method embodiment, which will not be repeated here.
[0214] In the above embodiments, the description of each embodiment has its own emphasis. For parts that are not described or recorded in detail in a certain embodiment, reference can be made to the relevant descriptions of other embodiments.
[0215] Those of ordinary skill in the art will appreciate that the units and algorithm steps of each example described in conjunction with the embodiments disclosed herein can be implemented in electronic hardware, or a combination of computer software and electronic hardware. Whether these functions are performed in hardware or software depends on the specific application and design constraints of the technical solution. Professional and technical personnel can use different methods to implement the described functions for each specific application, but such implementation should not be considered to be beyond the scope of this application.
[0216] In the embodiments provided in the present application, it should be understood that the disclosed devices / terminal equipment and methods can be implemented in other ways. For example, the device / terminal equipment embodiments described above are only schematic. For example, the division of the modules or units is only a logical function division. There may be other division methods in actual implementation, such as multiple units or components can be combined or integrated into another system, or some features can be ignored or not executed. Another point is that the mutual coupling or direct coupling or communication connection shown or discussed can be through some interfaces, indirect coupling or communication connection of devices or units, which can be electrical, mechanical or other forms.
[0217] The units described as separate components may or may not be physically separated, and the components shown as units may or may not be physical units, that is, they may be located in one place or distributed on multiple network units. Some or all of the units may be selected according to actual needs to achieve the purpose of the solution of this embodiment.
[0218] In addition, each functional unit in each embodiment of the present application may be integrated into one processing unit, or each unit may exist physically separately, or two or more units may be integrated into one unit. The above-mentioned integrated unit may be implemented in the form of hardware or in the form of software functional units.
[0219] If the integrated module is implemented in the form of a software functional unit and sold or used as an independent product, it can be stored in a computer-readable storage medium. Based on this understanding, the present application implements all or part of the processes in the above-mentioned embodiment method, and can also be completed by instructing the relevant hardware through a computer program. The computer program can be stored in a computer-readable storage medium. When the computer program is executed by the processor, the steps of the above-mentioned motor torque control method embodiments can be implemented. Among them, the computer program includes computer program code, and the computer program code can be in source code form, object code form, executable file or some intermediate form. The computer-readable medium may include: any entity or device capable of carrying the computer program code, recording medium, U disk, mobile hard disk, disk, optical disk, computer memory, read-only memory (ROM, Read-Only Memory), random access memory (RAM, Random Access Memory), electric carrier signal, telecommunication signal and software distribution medium. It should be noted that the content contained in the computer-readable medium can be appropriately increased or decreased according to the requirements of legislation and patent practice in the jurisdiction. For example, in some jurisdictions, according to legislation and patent practice, computer-readable media do not include electric carrier signals and telecommunication signals.
[0220] In addition, the features of the embodiments shown in the drawings of the present application or the various embodiments mentioned in this specification are not necessarily understood as independent embodiments. Instead, each feature described in one example of an embodiment can be combined with one or more other desired features from other embodiments to produce other embodiments not described in words or with reference to the drawings.
[0221] The embodiments described above are only used to illustrate the technical solutions of the present application, rather than to limit them. Although the present application has been described in detail with reference to the aforementioned embodiments, a person skilled in the art should understand that the technical solutions described in the aforementioned embodiments may still be modified, or some of the technical features may be replaced by equivalents. Such modifications or replacements do not deviate the essence of the corresponding technical solutions from the spirit and scope of the technical solutions of the embodiments of the present application, and should all be included in the protection scope of the present application.
Claims
1. A method for constructing and simulating an equivalent impedance model of charged water, characterized in that: include: Discretize the charged water body into a plurality of basic units, wherein the basic unit includes a plurality of nodes; Based on the category of the node, obtain a linear equation system of the node; Based on the linear equations, an equivalent impedance network model of a charged water body is constructed; Determining the state of the charged water body based on an equivalent impedance network model of the charged water body; Wherein, based on the category of the node, obtaining the linear equation group of the node includes: Based on the relationship between the current of each impedance branch in the basic unit and the voltage of the plurality of nodes, a basic equation of the node is obtained; Based on the category of the node, obtaining a boundary equation of the node; Based on the basic equation and the boundary equation, obtaining a linear equation group of the node; Wherein, based on the relationship between the current of each impedance branch in the basic unit and the voltage of the plurality of nodes, obtaining the basic equation of the node includes: Based on the relationship between the current of each impedance branch in the basic unit and the voltage of the plurality of nodes, obtaining the voltage equation of the node; Based on the relationship between the ratio of the micro-increment of the current to the micro-increment of the time and the derivative of the current with respect to time, the voltage equation of the node is converted into the basic equation of the node.
2. The method for constructing and simulating an equivalent impedance model of a charged water body according to claim 1, characterized in that: Based on the equivalent impedance network model of the charged water body, determining the state of the charged water body includes: Determining a state vector of the basic unit based on an equivalent impedance network model of the charged water body; Based on the state vector, the electric potential of the charged water body to the earth and the leakage current of the charged water body are analyzed.
3. The method for constructing and simulating an equivalent impedance model of charged water according to claim 1, characterized in that: The basic unit is a tetrahedral structure, and each node of the basic unit is connected to three impedances respectively.
4. The method for constructing and simulating an equivalent impedance model of charged water according to claim 1, characterized in that: The category of the node is determined based on the location of the node in the base unit, whether the node is grounded, or whether the node has an external power supply connected.
5. The method for constructing and simulating an equivalent impedance model of charged water according to claim 4, characterized in that: The nodes include internal nodes, upper boundary nodes and lower boundary nodes. The internal nodes are arranged inside the charged water body, the upper boundary nodes are arranged at the upper edge of the charged water body, and the lower boundary nodes are arranged at the lower edge of the charged water body.
6. A device for constructing and simulating an equivalent impedance model of a charged water body, characterized in that: include: A discrete module, used for discretizing the charged water body into a plurality of basic units, wherein the basic unit includes a plurality of nodes; A linear equation group acquisition module, used for acquiring the linear equation group of the node based on the category of the node; A model building module, used for building an equivalent impedance network model of a charged water body based on the linear equations; An analysis module, used for determining the state of the charged water body based on an equivalent impedance network model of the charged water body; Wherein, the linear equations acquisition module includes: A basic equation acquisition unit, used for acquiring a basic equation of a node based on the relationship between the current of each impedance branch in the basic unit and the voltage of the plurality of nodes; A boundary equation obtaining unit, used for obtaining the boundary equation of the node based on the category of the node; A linear equation group obtaining unit, used for obtaining a linear equation group of a node based on a basic equation and a boundary equation; Wherein, the basic equation acquisition unit comprises: A voltage equation acquisition subunit, used for acquiring a voltage equation of a node based on a relationship between a current of each impedance branch in the basic unit and a voltage of a plurality of the nodes; The basic equation conversion subunit is used to convert the voltage equation of the node into the basic equation of the node based on the ratio of the micro-increment of the current to the micro-increment of the time and the relationship between the derivative of the current with respect to time.
7. A storage medium storing a computer program, characterized in that: When the computer program is executed by a processor, the steps of the method according to any one of claims 1 to 5 are implemented.
8. An electronic device comprising at least a memory and a processor, wherein a computer program is stored in the memory, wherein: The processor implements the steps of the method of any one of claims 1 to 5 when executing the computer program on the memory.
Citation Information
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Electric shock prevention method and device for electrified water body and computer readable storage medium
CN119180135A