CN107506543A - High-voltage direct-current submarine cable simulation method and system - Google Patents
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Abstract
本发明涉及一种高压直流海底电缆仿真方法和系统,通过建立电场模块控制方程、流场模块控制方程、固体传热模块控制方程、流体传热模块控制方程和电热耦合模块控制方程,为高压直流海底电缆提供了一种电‑热‑流多物理场耦合仿真方法,该方法直接耦合了电‑热‑流多物理场的物理过程,为高压直流海缆提供了一种温度、电场和流速的快速确定方法,简单通用,易于推广应用,对保证电网的安全可靠运行以及延长海底电缆的使用寿命具有重要意义。
The invention relates to a high-voltage direct current submarine cable simulation method and system. By establishing the electric field module control equation, the flow field module control equation, the solid heat transfer module control equation, the fluid heat transfer module control equation and the electrothermal coupling module control equation, the high-voltage direct current Submarine cables provide an electric-thermal-flow multiphysics coupling simulation method, which directly couples the physical process of electric-thermal-flow multiphysics, and provides a temperature, electric field and flow velocity simulation method for high-voltage direct current submarine cables. The quick determination method is simple and universal, easy to popularize and apply, and is of great significance to ensure the safe and reliable operation of the power grid and prolong the service life of submarine cables.
Description
技术领域technical field
本发明涉及电力仿真技术领域,特别是涉及一种高压直流海底电缆仿真方法和系统。The invention relates to the technical field of electric power simulation, in particular to a high-voltage direct current submarine cable simulation method and system.
背景技术Background technique
高压直流电缆运行时的径向温度分布和电场分布是反映电缆性能重要的运行参数,决定了电缆的长期安全稳定运行。高压直流电缆与交流电缆的区别主要在于绝缘层电场分布及其影响因素不同。在直流条件下,导体损耗和绝缘泄漏电流引起的损耗(正常运行时后者忽略不计)是电缆存在温度梯度分布的原因,且温度和电场强度的改变均会使绝缘材料电导率发生明显变化,而绝缘层电场分布取决于电导率分布,因此高压直流电缆的电场分布与温度分布是相互耦合的关系。其次,高压直流电缆在运行时除了考虑导体温度,还需要考虑绝缘层温度分布及其与电场分布的耦合对载流量的限制。The radial temperature distribution and electric field distribution of high-voltage DC cables are important operating parameters that reflect the performance of the cable and determine the long-term safe and stable operation of the cable. The difference between high-voltage DC cables and AC cables is mainly in the distribution of the electric field of the insulating layer and its influencing factors. Under DC conditions, the loss caused by conductor loss and insulation leakage current (the latter is negligible during normal operation) is the reason for the temperature gradient distribution of the cable, and changes in temperature and electric field strength will cause significant changes in the conductivity of the insulating material. The electric field distribution of the insulating layer depends on the conductivity distribution, so the electric field distribution and temperature distribution of the high-voltage DC cable are mutually coupled. Secondly, in addition to the conductor temperature, the high-voltage DC cable needs to consider the limitation of the current carrying capacity on the temperature distribution of the insulating layer and its coupling with the electric field distribution.
海缆处于海洋环境中,海缆的运行过程与海水息息相关。海缆导体损耗产生的热量在海缆本体、土中进行固体传热,在水中进行流体传热。海水的流动不断带走海缆产生的热量,海缆产生的热量也不断地给海水加热。海水的流速和温度变化会改变海水的流动情况,海缆的温度分布随之改变,进而改变绝缘材料电导率使绝缘层电场分布发生变化,而电场分布的变化又反过来影响电导率进而影响温度分布,所以研究考虑流场的海缆电热耦合的规律具有重要的意义。The submarine cable is in the ocean environment, and the operation process of the submarine cable is closely related to the sea water. The heat generated by the loss of the submarine cable conductor conducts solid heat transfer in the submarine cable body and soil, and conducts fluid heat transfer in water. The flow of seawater continuously takes away the heat generated by the submarine cable, and the heat generated by the submarine cable also continuously heats the seawater. Changes in seawater flow rate and temperature will change the flow of seawater, and the temperature distribution of the submarine cable will change accordingly, thereby changing the electrical conductivity of the insulating material to change the electric field distribution of the insulating layer, and the change in the electric field distribution will in turn affect the conductivity and then affect the temperature. distribution, so it is of great significance to study the law of submarine cable electrothermal coupling considering the flow field.
通过数值仿真可以模拟各种工况及实验方案,较为准确地得到结果,近年来成为研究热点,但大多数研究只针对于电热、电磁-热和热-流(气流)耦合等方面,而且集中于对陆缆的研究,而对于海缆的电-热-流(水流)耦合仿真较少涉及,有的只是施加相应的环境参数和边界条件来模拟,仿真精确度较低。Various working conditions and experimental schemes can be simulated through numerical simulation, and the results can be obtained more accurately. It has become a research hotspot in recent years, but most of the research is only aimed at the aspects of electrothermal, electromagnetic-thermal and heat-flux (air flow) coupling, etc., and concentrated For the research on terrestrial cables, the electric-thermal-fluid (water flow) coupling simulation of submarine cables is seldom involved, and some are only simulated by imposing corresponding environmental parameters and boundary conditions, and the simulation accuracy is low.
发明内容Contents of the invention
基于此,有必要针对仿真精确度较低的问题,提供一种高压直流海底电缆仿真方法和系统。Based on this, it is necessary to provide a high-voltage direct current submarine cable simulation method and system for the problem of low simulation accuracy.
一种高压直流海底电缆仿真方法,包括以下步骤:A high voltage direct current submarine cable simulation method, comprising the following steps:
建立海缆本体及其敷设环境的三维模型;Establish a three-dimensional model of the submarine cable body and its laying environment;
根据所述三维模型建立电-热-流耦合仿真的控制方程;其中,所述控制方程包括电场模块控制方程、流场模块控制方程、固体传热模块控制方程、流体传热模块控制方程和电热耦合模块控制方程;According to the three-dimensional model, the control equations of electric-heat-flow coupling simulation are established; wherein, the control equations include electric field module control equations, flow field module control equations, solid heat transfer module control equations, fluid heat transfer module control equations and electrothermal Coupling module governing equations;
根据所述电场模块控制方程、流场模块控制方程、固体传热模块控制方程、流体传热模块控制方程和电热耦合模块控制方程进行高压直流海底电缆仿真。According to the control equation of the electric field module, the control equation of the flow field module, the control equation of the solid heat transfer module, the control equation of the fluid heat transfer module and the control equation of the electrothermal coupling module, the high voltage direct current submarine cable simulation is performed.
一种高压直流海底电缆仿真系统,包括:A high-voltage direct current submarine cable simulation system, including:
模型建立模块,用于建立海缆本体及其敷设环境的三维模型;The model building module is used to build a three-dimensional model of the submarine cable body and its laying environment;
方程建立模块,用于根据所述三维模型建立电-热-流耦合仿真的控制方程;其中,所述控制方程包括电场模块控制方程、流场模块控制方程、固体传热模块控制方程、流体传热模块控制方程和电热耦合模块控制方程;An equation establishment module, used to establish control equations for electric-heat-flow coupling simulation according to the three-dimensional model; wherein, the control equations include electric field module control equations, flow field module control equations, solid heat transfer module control equations, fluid transfer Thermal module control equations and electrothermal coupling module control equations;
仿真模块,用于根据所述电场模块控制方程、流场模块控制方程、固体传热模块控制方程、流体传热模块控制方程和电热耦合模块控制方程进行高压直流海底电缆仿真。The simulation module is used to simulate the high-voltage DC submarine cable according to the electric field module control equation, the flow field module control equation, the solid heat transfer module control equation, the fluid heat transfer module control equation and the electrothermal coupling module control equation.
上述高压直流海底电缆仿真方法和系统,通过建立电场模块控制方程、流场模块控制方程、固体传热模块控制方程、流体传热模块控制方程和电热耦合模块控制方程,为高压直流海底电缆提供了一种电-热-流多物理场耦合仿真方法,该方法直接耦合了电-热-流多物理场的物理过程,为高压直流海缆提供了一种温度、电场和流速的快速确定方法,简单通用,易于推广应用,对保证电网的安全可靠运行以及延长海底电缆的使用寿命具有重要意义。The above-mentioned high-voltage direct current submarine cable simulation method and system provide a high-voltage direct current submarine cable with An electric-heat-flow multi-physics coupling simulation method, which directly couples the physical process of the electric-heat-flow multi-physics field, provides a fast method for determining temperature, electric field and flow velocity for high-voltage DC submarine cables, It is simple and universal, easy to popularize and apply, and is of great significance to ensure the safe and reliable operation of the power grid and prolong the service life of submarine cables.
附图说明Description of drawings
图1为一个实施例的高压直流海底电缆仿真方法流程图;Fig. 1 is a flow chart of a high-voltage direct current submarine cable simulation method of an embodiment;
图2为一个实施例的海底电缆及其敷设环境的几何模型图;Fig. 2 is a geometric model diagram of a submarine cable and its laying environment of an embodiment;
图3(a)为一个实施例的仿真结果中的整体温度分布云图;Fig. 3 (a) is the overall temperature distribution nephogram in the simulation result of an embodiment;
图3(b)为一个实施例的仿真结果中的海缆温度分布云图;Fig. 3 (b) is the temperature distribution nephogram of the submarine cable in the simulation result of an embodiment;
图4为一个实施例的仿真结果中的电场分布云图;Fig. 4 is the electric field distribution cloud diagram in the simulation result of an embodiment;
图5为一个实施例的仿真结果中的流速分布云图;Fig. 5 is the velocity distribution nephogram in the simulation result of an embodiment;
图6为一个实施例的高压直流海底电缆仿真系统的结构示意图。Fig. 6 is a schematic structural diagram of a high-voltage direct current submarine cable simulation system of an embodiment.
具体实施方式detailed description
下面结合附图对本发明的技术方案进行说明。The technical solution of the present invention will be described below in conjunction with the accompanying drawings.
如图1所示,本发明提供一种高压直流海底电缆仿真方法,可包括以下步骤:As shown in Fig. 1, the present invention provides a kind of high-voltage DC submarine cable simulation method, may comprise the following steps:
S1,建立海缆本体及其敷设环境的三维模型;S1, establish a three-dimensional model of the submarine cable body and its laying environment;
建立海缆本体及其敷设环境的三维模型图如图2所示,包括海水区域、土壤区域和海底电缆本体;其中,所述海水区域位于所述土壤区域的上层,且所述海底电缆本体穿过所述海水区域。通过建立包括海水区域、土壤区域和海底电缆本体三者的海缆本体及其敷设环境的三维模型,能够最大程度地模拟海缆本体及其敷设环境,与实际场景相似度较大,提高了仿真结果准确度。根据图2可知,本步骤中的敷设环境在仿真时等效为两个长方体,即敷设环境的上层为“海水区域”(含一入口和一出口),下层为“土壤区域”。Establish the three-dimensional model diagram of the submarine cable body and its laying environment as shown in Figure 2, including the seawater area, the soil area and the submarine cable body; wherein, the seawater area is located in the upper layer of the soil area, and the submarine cable body passes through through the seawater area. By establishing a three-dimensional model of the submarine cable body and its laying environment including the seawater area, the soil area and the submarine cable body, the submarine cable body and its laying environment can be simulated to the greatest extent, which is more similar to the actual scene and improves the simulation. Result accuracy. According to Figure 2, the laying environment in this step is equivalent to two cuboids during simulation, that is, the upper layer of the laying environment is the "sea water area" (including an inlet and an outlet), and the lower layer is the "soil area".
S2,根据所述三维模型建立电-热-流耦合仿真的控制方程;其中,所述控制方程包括电场模块控制方程、流场模块控制方程、固体传热模块控制方程、流体传热模块控制方程和电热耦合模块控制方程;S2, according to the three-dimensional model to establish the control equation of electric-heat-flow coupling simulation; wherein, the control equation includes electric field module control equation, flow field module control equation, solid heat transfer module control equation, fluid heat transfer module control equation and the governing equations of the electrothermal coupling module;
本步骤中在海缆本体及其敷设环境的三维电热流耦合模型中,在导体中加载电流、水的流动、流体中传热、固体中传热、电热耦合的过程可以采用如下控制方程进行描述:In this step, in the three-dimensional electrothermal flow coupling model of the submarine cable body and its laying environment, the process of loading current in the conductor, water flow, heat transfer in fluid, heat transfer in solid, and electrothermal coupling can be described by the following governing equations :
在一个实施例中,可建立如下电场模块控制方程:In one embodiment, the following electric field module governing equations can be established:
J=σE+Je J=σE+J e
式中,为矢量微分算符;J为电流密度矢量,单位为A/m3;Qj为电流源,单位为A/m3;σ为电导率,单位为S/m;E为电场矢量,单位为V/m;V为电势,单位为V;Je为外部注入电流密度。在此方程组中,求解的基本参数是V,其他参数以V为基础求出。In the formula, is the vector differential operator; J is the current density vector, the unit is A/m 3 ; Q j is the current source, the unit is A/m 3 ; σ is the conductivity, the unit is S/m; E is the electric field vector, the unit is V/m; V is the potential in V; J e is the external injection current density. In this system of equations, the basic parameter to be solved is V, and other parameters are calculated based on V.
在一个实施例中,可建立如下流场模块控制方程:In one embodiment, the following flow field module governing equations can be established:
式中,ρ1为流体材料的密度,单位为kg/m3;u为速度矢量,单位为m/s;p为压强,单位为Pa;μ为动力黏度,单位为Pa·s;I为单位矩阵。In the formula, ρ1 is the density of the fluid material, the unit is kg/ m3 ; u is the velocity vector, the unit is m/s; p is the pressure, the unit is Pa; μ is the dynamic viscosity, the unit is Pa·s; identity matrix.
在一个实施例中,可建立如下流体传热模块控制方程:In one embodiment, the governing equations for the fluid heat transfer module can be established as follows:
式中,C1为流体材料常压下的比热容,单位为J/(kg·K);T1为流体材料的温度,单位为K;t为时间;q为传导热通量,单位为W/m2;τ为黏滞应力张量,单位为Pa;为应变率张量,单位为1/s;Q1为流体材料中的热源,(不含黏滞发热),单位为W/m3。In the formula, C 1 is the specific heat capacity of the fluid material under normal pressure, in J/(kg K); T 1 is the temperature of the fluid material, in K; t is time; q is the conduction heat flux, in W /m 2 ; τ is the viscous stress tensor, in Pa; is the strain rate tensor, the unit is 1/s; Q 1 is the heat source in the fluid material (excluding viscous heating), the unit is W/m 3 .
在一个实施例中,可建立如下固体传热模块控制方程:In one embodiment, the governing equations for the Heat Transfer in Solids module can be established as follows:
式中,ρ2为固体材料的密度;C2为固体材料常压下的比热容;λ为固体材料的导热系数,单位为W/(m·K);T2为固体材料的温度,单位为K;Q2为固体材料中的热源,单位为W/m3。In the formula, ρ2 is the density of the solid material; C2 is the specific heat capacity of the solid material under normal pressure; λ is the thermal conductivity of the solid material, the unit is W/(m K) ; T2 is the temperature of the solid material, the unit is K; Q 2 is the heat source in the solid material, the unit is W/m 3 .
在一个实施例中,可建立如下电热耦合模块控制方程:In one embodiment, the following electrothermal coupling module control equation can be established:
式中,ρ2为固体材料的密度;T2为固体材料的温度,单位为K;λ为固体材料的导热系数,单位为W/(m·K);u为速度矢量;为矢量微分算符;J为电流密度矢量;E为电场矢量。In the formula , ρ2 is the density of the solid material; T2 is the temperature of the solid material, the unit is K; λ is the thermal conductivity of the solid material, the unit is W/(m K); u is the velocity vector; Is the vector differential operator; J is the current density vector; E is the electric field vector.
通过建立上述五种方程,明确了仿真内容涉及的各个物理场所需要建立的方程,从而能够全面准确地进行高压直流海底电缆仿真,仿真过程更加直观。通过建立电热耦合方程,可将电场和热场进行耦合。因为热场(温度分布)变化会影响电导率分布使电场分布发生变化;而电场分布变化又反过来影响电导率分布进而影响海缆的温度分布。因此高压直流电缆的电场分布与温度分布是相互耦合的关系。By establishing the above five equations, the equations that need to be established for each physical place involved in the simulation content are clarified, so that the high-voltage DC submarine cable simulation can be carried out comprehensively and accurately, and the simulation process is more intuitive. By establishing the electrothermal coupling equation, the electric field and the thermal field can be coupled. Because the change of thermal field (temperature distribution) will affect the distribution of electrical conductivity and the distribution of electric field will change; and the change of electric field distribution will in turn affect the distribution of electrical conductivity and then affect the temperature distribution of the submarine cable. Therefore, the electric field distribution and temperature distribution of HVDC cables are coupled with each other.
S3,根据所述电场模块控制方程、流场模块控制方程、固体传热模块控制方程、流体传热模块控制方程和电热耦合模块控制方程进行高压直流海底电缆仿真。S3, performing a high-voltage direct current submarine cable simulation according to the control equations of the electric field module, the flow field module, the solid heat transfer module, the fluid heat transfer module and the electrothermal coupling module.
本步骤可以通过以下方式实现:This step can be achieved by:
步骤S3.1,为海缆本体各层及其敷设环境添加材料,准确定义材料的导热系数、常压热容、密度和电导率;Step S3.1, adding materials for each layer of the submarine cable body and its laying environment, and accurately defining the thermal conductivity, heat capacity at normal pressure, density and electrical conductivity of the material;
步骤S3.2,添加电场、流场、固体传热场和流体传热场,分别设定电场边界条件、流场边界条件、固体传热场边界条件和流体传热场边界条件;Step S3.2, adding an electric field, a flow field, a solid heat transfer field, and a fluid heat transfer field, and respectively setting electric field boundary conditions, flow field boundary conditions, solid heat transfer field boundary conditions, and fluid heat transfer field boundary conditions;
步骤S3.3,在海底电缆导体上加载高压,以法向电流密度的形式加载电流,将XLPE(cross-linked polyethylene insulated cable,交联聚乙烯绝缘型电缆)绝缘的外表面设置为接地,并根据所述电场模块方程和电场边界条件对高压直流海底电缆的电场进行仿真;Step S3.3, load a high voltage on the submarine cable conductor, load the current in the form of normal current density, set the outer surface of the XLPE (cross-linked polyethylene insulated cable, cross-linked polyethylene insulated cable) insulation to ground, and Simulating the electric field of the high-voltage direct current submarine cable according to the electric field module equation and the electric field boundary condition;
步骤S3.4,在海水区域的两端分别设有水流入口和水流出口,在水流入口处给定流速,并根据所述流场模块方程和流场边界条件对高压直流海底电缆的流场进行仿真;In step S3.4, a water flow inlet and a water flow outlet are respectively provided at both ends of the seawater area, and the flow velocity is given at the water flow inlet, and the flow field of the HVDC submarine cable is calculated according to the flow field module equation and the flow field boundary conditions simulation;
步骤S3.5,将海水区域设为流体传热,在水流入口处给定水温,将水温上边界设为对热通量,模拟散热,并根据所述流体传热模块方程和固体传热场边界条件对高压直流海底电缆的固体传热场进行仿真;Step S3.5, set the seawater area as fluid heat transfer, set the water temperature at the water inlet, set the upper boundary of the water temperature as the convective heat flux, simulate heat dissipation, and according to the fluid heat transfer module equation and the solid heat transfer field Boundary conditions simulate the solid heat transfer field of HVDC submarine cables;
步骤S3.6,将海缆和土壤区域设为固体传热,设置土壤区域的下边界为恒定温度,表示深层土壤,并根据所述固体传热方程和流体传热场边界条件对高压直流海底电缆的流体传热场进行仿真;Step S3.6, set the submarine cable and the soil area as solid heat transfer, set the lower boundary of the soil area as a constant temperature, representing the deep soil, and calculate the high-voltage DC seabed according to the solid heat transfer equation and the fluid heat transfer field boundary conditions The fluid heat transfer field of the cable is simulated;
步骤S3.7,使用自由四面体进行网格划分,对海缆本体进行细网格划分,对敷设环境进行粗网格划分。Step S3.7, using the free tetrahedron for grid division, performing fine grid division for the submarine cable body, and performing coarse grid division for the laying environment.
网格划分的作用是把一个复杂的模型分成若干简单的模型,而这些简单的个体之间又相互联系,相互约束,构成整个结构。求解这些简单的结构,就能得到整体的变化趋势,网格越细致整齐,结果就越精确,网格粗糙,结果就会有较大误差。上述四个模块是进行边界条件的设定和物理场的添加,网格划分在此之后进行。在仿真之后,可以使用稳态求解器的全耦合计算海缆的温度分布、电场分布和流速分布。求解可以得到海缆的温度分布云图、电场分布云图和流速分布云图如图3~图5所示。其中,图3(a)为整体温度分布,图3(b)为海缆温度分布。The role of grid division is to divide a complex model into several simple models, and these simple individuals are interconnected and constrained to form the whole structure. By solving these simple structures, the overall change trend can be obtained. The finer and more tidy the grid, the more accurate the result, and the rougher the grid, the greater the error in the result. The above four modules are for setting boundary conditions and adding physical fields, after which grid division is carried out. After the simulation, the temperature distribution, electric field distribution and flow velocity distribution of the submarine cable can be calculated using the full coupling of the steady-state solver. The temperature distribution cloud map, electric field distribution cloud map and flow velocity distribution cloud map of the submarine cable can be obtained by solving the solution, as shown in Figures 3 to 5. Among them, Figure 3(a) is the overall temperature distribution, and Figure 3(b) is the temperature distribution of the submarine cable.
本发明同时考虑了电-热-流多物理场直接耦合这么一个复杂的物理过程,在准确设定材料属性和边界条件的情况下,为高压直流海底电缆提供了一种温度、电场和流速的快速确定方法,简单通用,易于推广应用,对保证电网的安全可靠运行以及延长海底电缆的使用寿命具有重要意义。The present invention simultaneously considers such a complex physical process as the direct coupling of electric-heat-flow multi-physics fields, and provides a high-voltage direct current submarine cable with a temperature, electric field and flow velocity under the condition of accurately setting material properties and boundary conditions. The quick determination method is simple and universal, easy to popularize and apply, and is of great significance to ensure the safe and reliable operation of the power grid and prolong the service life of submarine cables.
如图6所示,本发明还提供一种高压直流海底电缆仿真系统,可包括:As shown in Figure 6, the present invention also provides a high-voltage direct current submarine cable simulation system, which may include:
模型建立模块10,用于建立海缆本体及其敷设环境的三维模型;The model building module 10 is used to set up a three-dimensional model of the submarine cable body and its laying environment;
建立海缆本体及其敷设环境的三维模型图如图2所示,包括海水区域、土壤区域和海底电缆本体;其中,所述海水区域位于所述土壤区域的上层,且所述海底电缆本体穿过所述海水区域。通过建立包括海水区域、土壤区域和海底电缆本体三者的海缆本体及其敷设环境的三维模型,能够最大程度地模拟海缆本体及其敷设环境,与实际场景相似度较大,提高了仿真结果准确度。根据图2可知,本步骤中的敷设环境在仿真时等效为两个长方体,即敷设环境的上层为“海水区域”(含一入口和一出口),下层为“土壤区域”。Establish the three-dimensional model diagram of the submarine cable body and its laying environment as shown in Figure 2, including the seawater area, the soil area and the submarine cable body; wherein, the seawater area is located in the upper layer of the soil area, and the submarine cable body passes through through the seawater area. By establishing a three-dimensional model of the submarine cable body and its laying environment including the seawater area, the soil area and the submarine cable body, the submarine cable body and its laying environment can be simulated to the greatest extent, which is more similar to the actual scene and improves the simulation. Result accuracy. According to Figure 2, the laying environment in this step is equivalent to two cuboids during simulation, that is, the upper layer of the laying environment is the "sea water area" (including an inlet and an outlet), and the lower layer is the "soil area".
方程建立模块20,用于根据所述三维模型建立电-热-流耦合仿真的控制方程;其中,所述控制方程包括电场模块控制方程、流场模块控制方程、固体传热模块控制方程、流体传热模块控制方程和电热耦合模块控制方程;Equation establishment module 20, for establishing the control equation of electric-heat-flow coupling simulation according to described three-dimensional model; Wherein, described control equation comprises electric field module control equation, flow field module control equation, solid heat transfer module control equation, fluid Control equations of heat transfer module and electrothermal coupling module;
本模块中在海缆本体及其敷设环境的三维电热流耦合模型中,在导体中加载电流、水的流动、流体中传热、固体中传热、电热耦合的过程可以采用如下控制方程进行描述:In this module, in the three-dimensional electrothermal flow coupling model of the submarine cable body and its laying environment, the process of loading current in the conductor, water flow, heat transfer in fluid, heat transfer in solid, and electrothermal coupling can be described by the following governing equations :
在一个实施例中,可建立如下电场模块控制方程:In one embodiment, the following electric field module governing equations can be established:
J=σE+Je J=σE+J e
式中,为矢量微分算符;J为电流密度矢量,单位为A/m3;Qj为电流源,单位为A/m3;σ为电导率,单位为S/m;E为电场矢量,单位为V/m;V为电势,单位为V;Je为外部注入电流密度。在此方程组中,求解的基本参数是V,其他参数以V为基础求出。In the formula, is the vector differential operator; J is the current density vector, the unit is A/m 3 ; Q j is the current source, the unit is A/m 3 ; σ is the conductivity, the unit is S/m; E is the electric field vector, the unit is V/m; V is the potential in V; J e is the external injection current density. In this system of equations, the basic parameter to be solved is V, and other parameters are calculated based on V.
在一个实施例中,可建立如下流场模块控制方程:In one embodiment, the following flow field module governing equations can be established:
式中,ρ1为流体材料的密度,单位为kg/m3;u为速度矢量,单位为m/s;p为压强,单位为Pa;μ为动力黏度,单位为Pa·s;I为单位矩阵。In the formula, ρ1 is the density of the fluid material, the unit is kg/ m3 ; u is the velocity vector, the unit is m/s; p is the pressure, the unit is Pa; μ is the dynamic viscosity, the unit is Pa·s; identity matrix.
在一个实施例中,可建立如下流体传热模块控制方程:In one embodiment, the governing equations for the fluid heat transfer module can be established as follows:
式中,C1为流体材料常压下的比热容,单位为J/(kg·K);T1为流体材料的温度,单位为K;t为时间;q为传导热通量,单位为W/m2;τ为黏滞应力张量,单位为Pa;为应变率张量,单位为1/s;Q1为流体材料中的热源,(不含黏滞发热),单位为W/m3。In the formula, C 1 is the specific heat capacity of the fluid material under normal pressure, in J/(kg K); T 1 is the temperature of the fluid material, in K; t is time; q is the conduction heat flux, in W /m 2 ; τ is the viscous stress tensor, in Pa; is the strain rate tensor, the unit is 1/s; Q 1 is the heat source in the fluid material (excluding viscous heating), the unit is W/m 3 .
在一个实施例中,可建立如下固体传热模块控制方程:In one embodiment, the governing equations for the Heat Transfer in Solids module can be established as follows:
式中,ρ2为固体材料的密度;C2为固体材料常压下的比热容;λ为固体材料的导热系数,单位为W/(m·K);T2为固体材料的温度,单位为K;Q2为固体材料中的热源,单位为W/m3。In the formula, ρ2 is the density of the solid material; C2 is the specific heat capacity of the solid material under normal pressure; λ is the thermal conductivity of the solid material, the unit is W/(m K) ; T2 is the temperature of the solid material, the unit is K; Q 2 is the heat source in the solid material, the unit is W/m 3 .
在一个实施例中,可建立如下电热耦合模块控制方程:In one embodiment, the following electrothermal coupling module control equation can be established:
式中,ρ2为固体材料的密度;T2为固体材料的温度,单位为K;λ为固体材料的导热系数,单位为W/(m·K);u为速度矢量;为矢量微分算符;J为电流密度矢量;E为电场矢量。In the formula , ρ2 is the density of the solid material; T2 is the temperature of the solid material, the unit is K; λ is the thermal conductivity of the solid material, the unit is W/(m K); u is the velocity vector; Is the vector differential operator; J is the current density vector; E is the electric field vector.
通过建立上述五种方程,明确了仿真内容涉及的各个物理场所需要建立的方程,从而能够全面准确地进行高压直流海底电缆仿真,仿真过程更加直观。通过建立电热耦合方程,可将电场和热场进行耦合。因为热场(温度分布)变化会影响电导率分布使电场分布发生变化;而电场分布变化又反过来影响电导率分布进而影响海缆的温度分布。因此高压直流电缆的电场分布与温度分布是相互耦合的关系。By establishing the above five equations, the equations that need to be established for each physical place involved in the simulation content are clarified, so that the high-voltage DC submarine cable simulation can be carried out comprehensively and accurately, and the simulation process is more intuitive. By establishing the electrothermal coupling equation, the electric field and the thermal field can be coupled. Because the change of thermal field (temperature distribution) will affect the distribution of electrical conductivity and the distribution of electric field will change; and the change of electric field distribution will in turn affect the distribution of electrical conductivity and then affect the temperature distribution of the submarine cable. Therefore, the electric field distribution and temperature distribution of HVDC cables are coupled with each other.
仿真模块30,用于根据所述电场模块控制方程、流场模块控制方程、固体传热模块控制方程、流体传热模块控制方程和电热耦合模块控制方程进行高压直流海底电缆仿真。The simulation module 30 is used to perform HVDC submarine cable simulation according to the electric field module control equation, flow field module control equation, solid heat transfer module control equation, fluid heat transfer module control equation and electrothermal coupling module control equation.
本模块的功能可以通过以下方式实现:The functions of this module can be realized in the following ways:
步骤S3.1,为海缆本体各层及其敷设环境添加材料,准确定义材料的导热系数、常压热容、密度和电导率;Step S3.1, adding materials for each layer of the submarine cable body and its laying environment, and accurately defining the thermal conductivity, heat capacity at normal pressure, density and electrical conductivity of the material;
步骤S3.2,添加电场、流场、固体传热场和流体传热场,分别设定电场边界条件、流场边界条件、固体传热场边界条件和流体传热场边界条件;Step S3.2, adding an electric field, a flow field, a solid heat transfer field, and a fluid heat transfer field, and respectively setting electric field boundary conditions, flow field boundary conditions, solid heat transfer field boundary conditions, and fluid heat transfer field boundary conditions;
步骤S3.3,在海底电缆导体上加载高压,以法向电流密度的形式加载电流,将XLPE绝缘的外表面设置为接地,并根据所述电场模块方程和电场边界条件对高压直流海底电缆的电场进行仿真;Step S3.3, load high voltage on the conductor of the submarine cable, load the current in the form of normal current density, set the outer surface of the XLPE insulation as grounded, and calculate the high voltage direct current submarine cable according to the electric field module equation and the electric field boundary conditions Electric field simulation;
步骤S3.4,在海水区域的两端分别设有水流入口和水流出口,在水流入口处给定流速,并根据所述流场模块方程和流场边界条件对高压直流海底电缆的流场进行仿真;In step S3.4, a water flow inlet and a water flow outlet are respectively provided at both ends of the seawater area, and the flow velocity is given at the water flow inlet, and the flow field of the HVDC submarine cable is calculated according to the flow field module equation and the flow field boundary conditions simulation;
步骤S3.5,将海水区域设为流体传热,在水流入口处给定水温,将水温上边界设为对热通量,模拟散热,并根据所述流体传热模块方程和固体传热场边界条件对高压直流海底电缆的固体传热场进行仿真;Step S3.5, set the seawater area as fluid heat transfer, set the water temperature at the water inlet, set the upper boundary of the water temperature as the convective heat flux, simulate heat dissipation, and according to the fluid heat transfer module equation and the solid heat transfer field Boundary conditions simulate the solid heat transfer field of HVDC submarine cables;
步骤S3.6,将海缆和土壤区域设为固体传热,设置土壤区域的下边界为恒定温度,表示深层土壤,并根据所述固体传热方程和流体传热场边界条件对高压直流海底电缆的流体传热场进行仿真;Step S3.6, set the submarine cable and the soil area as solid heat transfer, set the lower boundary of the soil area as a constant temperature, representing the deep soil, and calculate the high-voltage DC seabed according to the solid heat transfer equation and the fluid heat transfer field boundary conditions The fluid heat transfer field of the cable is simulated;
步骤S3.7,使用自由四面体进行网格划分,对海缆本体进行细网格划分,对敷设环境进行粗网格划分。Step S3.7, using the free tetrahedron for grid division, performing fine grid division for the submarine cable body, and performing coarse grid division for the laying environment.
网格划分的作用是把一个复杂的模型分成若干简单的模型,而这些简单的个体之间又相互联系,相互约束,构成整个结构。求解这些简单的结构,就能得到整体的变化趋势,网格越细致整齐,结果就越精确,网格粗糙,结果就会有较大误差。上述四个模块是进行边界条件的设定和物理场的添加,网格划分在此之后进行。在仿真之后,可以使用稳态求解器的全耦合进行计算。求解可以得到海缆的温度分布云图、电场分布云图和流速分布云图如图3~图5所示。其中,图3(a)为整体温度分布,图3(b)为海缆温度分布。The role of grid division is to divide a complex model into several simple models, and these simple individuals are interconnected and constrained to form the whole structure. By solving these simple structures, the overall change trend can be obtained. The finer and more tidy the grid, the more accurate the result, and the rougher the grid, the greater the error in the result. The above four modules are for setting boundary conditions and adding physical fields, after which grid division is carried out. After the simulation, calculations can be performed using the full coupling of the steady-state solver. The temperature distribution cloud map, electric field distribution cloud map and flow velocity distribution cloud map of the submarine cable can be obtained by solving the solution, as shown in Figures 3 to 5. Among them, Figure 3(a) is the overall temperature distribution, and Figure 3(b) is the temperature distribution of the submarine cable.
本发明同时考虑了电-热-流多物理场直接耦合这么一个复杂的物理过程,在准确设定材料属性和边界条件的情况下,为高压直流海底电缆提供了一种温度、电场和流速的快速确定方法,简单通用,易于推广应用,对保证电网的安全可靠运行以及延长海底电缆的使用寿命具有重要意义。The present invention simultaneously considers such a complex physical process as the direct coupling of electric-heat-flow multi-physics fields, and provides a high-voltage direct current submarine cable with a temperature, electric field and flow velocity under the condition of accurately setting material properties and boundary conditions. The quick determination method is simple and universal, easy to popularize and apply, and is of great significance to ensure the safe and reliable operation of the power grid and prolong the service life of submarine cables.
本发明的高压直流海底电缆仿真系统与本发明的高压直流海底电缆仿真方法一一对应,在上述高压直流海底电缆仿真方法的实施例阐述的技术特征及其有益效果均适用于高压直流海底电缆仿真系统的实施例中,特此声明。The high-voltage direct current submarine cable simulation system of the present invention corresponds to the high-voltage direct current submarine cable simulation method of the present invention, and the technical features and beneficial effects described in the above-mentioned high-voltage direct current submarine cable simulation method are applicable to high-voltage direct current submarine cable simulation Embodiments of the system are hereby declared.
在流程图中表示或在此以其他方式描述的逻辑和/或步骤,例如,可以被认为是用于实现逻辑功能的可执行指令的定序列表,可以具体实现在任何计算机可读介质中,以供指令执行系统、装置或设备(如基于计算机的系统、包括处理器的系统或其他可以从指令执行系统、装置或设备取指令并执行指令的系统)使用,或结合这些指令执行系统、装置或设备而使用。就本说明书而言,“计算机可读介质”可以是任何可以包含、存储、通信、传播或传输程序以供指令执行系统、装置或设备或结合这些指令执行系统、装置或设备而使用的装置。The logic and/or steps represented in the flowcharts or otherwise described herein, for example, can be considered as a sequenced listing of executable instructions for implementing logical functions, can be embodied in any computer-readable medium, For use with instruction execution systems, devices, or devices (such as computer-based systems, systems including processors, or other systems that can fetch instructions from instruction execution systems, devices, or devices and execute instructions), or in conjunction with these instruction execution systems, devices or equipment used. For the purposes of this specification, a "computer-readable medium" may be any device that can contain, store, communicate, propagate or transmit a program for use in or in conjunction with an instruction execution system, device or device.
计算机可读介质的更具体的示例(非穷尽性列表)包括以下:具有一个或多个布线的电连接部(电子装置),便携式计算机盘盒(磁装置),随机存取存储器(RAM),只读存储器(ROM),可擦除可编辑只读存储器(EPROM或闪速存储器),光纤装置,以及便携式光盘只读存储器(CDROM)。另外,计算机可读介质甚至可以是可在其上打印所述程序的纸或其他合适的介质,因为可以例如通过对纸或其他介质进行光学扫描,接着进行编辑、解译或必要时以其他合适方式进行处理来以电子方式获得所述程序,然后将其存储在计算机存储器中。More specific examples (non-exhaustive list) of computer-readable media include the following: electrical connection with one or more wires (electronic device), portable computer disk case (magnetic device), random access memory (RAM), Read Only Memory (ROM), Erasable and Editable Read Only Memory (EPROM or Flash Memory), Fiber Optic Devices, and Portable Compact Disc Read Only Memory (CDROM). In addition, the computer-readable medium may even be paper or other suitable medium on which the program can be printed, since the program can be read, for example, by optically scanning the paper or other medium, followed by editing, interpretation or other suitable processing if necessary. The program is processed electronically and stored in computer memory.
应当理解,本发明的各部分可以用硬件、软件、固件或它们的组合来实现。在上述实施方式中,多个步骤或方法可以用存储在存储器中且由合适的指令执行系统执行的软件或固件来实现。例如,如果用硬件来实现,和在另一实施方式中一样,可用本领域公知的下列技术中的任一项或他们的组合来实现:具有用于对数据信号实现逻辑功能的逻辑门电路的离散逻辑电路,具有合适的组合逻辑门电路的专用集成电路,可编程门阵列(PGA),现场可编程门阵列(FPGA)等。It should be understood that various parts of the present invention can be realized by hardware, software, firmware or their combination. In the embodiments described above, various steps or methods may be implemented by software or firmware stored in memory and executed by a suitable instruction execution system. For example, if implemented in hardware, as in another embodiment, it can be implemented by any one or combination of the following techniques known in the art: Discrete logic circuits, ASICs with suitable combinational logic gates, programmable gate arrays (PGAs), field programmable gate arrays (FPGAs), etc.
在本说明书的描述中,参考术语“一个实施例”、“一些实施例”、“示例”、“具体示例”、或“一些示例”等的描述意指结合该实施例或示例描述的具体特征、结构、材料或者特点包含于本发明的至少一个实施例或示例中。在本说明书中,对上述术语的示意性表述不一定指的是相同的实施例或示例。而且,描述的具体特征、结构、材料或者特点可以在任何的一个或多个实施例或示例中以合适的方式结合。In the description of this specification, descriptions with reference to the terms "one embodiment", "some embodiments", "example", "specific examples", or "some examples" mean that specific features described in connection with the embodiment or example , structure, material or characteristic is included in at least one embodiment or example of the present invention. In this specification, schematic representations of the above terms do not necessarily refer to the same embodiment or example. Furthermore, the specific features, structures, materials or characteristics described may be combined in any suitable manner in any one or more embodiments or examples.
以上所述实施例的各技术特征可以进行任意的组合,为使描述简洁,未对上述实施例中的各个技术特征所有可能的组合都进行描述,然而,只要这些技术特征的组合不存在矛盾,都应当认为是本说明书记载的范围。The technical features of the above-mentioned embodiments can be combined arbitrarily. To make the description concise, all possible combinations of the technical features in the above-mentioned embodiments are not described. However, as long as there is no contradiction in the combination of these technical features, should be considered as within the scope of this specification.
以上所述实施例仅表达了本发明的几种实施方式,其描述较为具体和详细,但并不能因此而理解为对发明专利范围的限制。应当指出的是,对于本领域的普通技术人员来说,在不脱离本发明构思的前提下,还可以做出若干变形和改进,这些都属于本发明的保护范围。因此,本发明专利的保护范围应以所附权利要求为准。The above-mentioned embodiments only express several implementation modes of the present invention, and the descriptions thereof are relatively specific and detailed, but should not be construed as limiting the patent scope of the invention. It should be pointed out that those skilled in the art can make several modifications and improvements without departing from the concept of the present invention, and these all belong to the protection scope of the present invention. Therefore, the protection scope of the patent for the present invention should be based on the appended claims.
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