CN111999564A - Calculation method and calculation device of internal dielectric constant value of cable accessories - Google Patents
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Abstract
本申请提供一种电缆附件的内部介电常数值计算方法以及计算装置,应用于电缆附件的内部介电常数值计算装置,其特征在于,电缆附件的内部介电常数值计算装置包括电极阵列,电极阵列所包含的至少两个电极对环绕设置于电缆附件的侧面,该方法包括:采集至少两个电极对中每个电极对之间的电容值;获取电缆附件对应的内部介电常数分布与边界电容信息的耦合关系;根据耦合关系以及至少两个电极对中每个电极对之间的电容值,计算电缆附件的内部介电常数值。这样,采用灵活的电极阵列布置方式,满足不同电压等级、不同结构的电缆附件的测试安装需求。通过非侵入、实时的无损检测方法计算电缆附件的内部介电常数值。实现过程简单,方便快捷。
The present application provides an internal dielectric constant value calculation method and a calculation device of a cable accessory, which are applied to the internal dielectric constant value calculation device of the cable accessory, wherein the internal dielectric constant value calculation device of the cable accessory includes an electrode array, At least two electrode pairs included in the electrode array are arranged around the side of the cable accessory, and the method includes: collecting the capacitance value between each electrode pair in the at least two electrode pairs; acquiring the internal dielectric constant distribution corresponding to the cable accessory and Coupling relationship for boundary capacitance information; based on the coupling relationship and the capacitance value between each of the at least two electrode pairs, calculates the value of the internal permittivity of the cable accessory. In this way, a flexible electrode array arrangement is adopted to meet the testing and installation requirements of cable accessories of different voltage levels and structures. Calculate the internal permittivity value of cable accessories through a non-invasive, real-time nondestructive testing method. The realization process is simple, convenient and quick.
Description
技术领域technical field
本申请涉及电力技术领域,尤其涉及一种电缆附件的内部介电常数值计算方法以及计算装置。The present application relates to the field of electric power technology, and in particular, to a calculation method and calculation device of an internal permittivity value of a cable accessory.
背景技术Background technique
在电缆输电系统中,电缆附件是影响电缆系统正常运行的重要因素。电缆终端安装时,必须剥去一段电缆的外屏蔽层,造成终端所处电场分布不均匀,产生对绝缘不利的切向电场。现有技术中,可以采用应力锥对终端电场强度进行控制,可以在一定程度上均化电场,改善电缆屏蔽层切断处的电场强度。通过调整应力锥的厚度、端部曲率和轴向长度可以优化其内部的电场分布,但优化效果有限。In the cable transmission system, cable accessories are an important factor affecting the normal operation of the cable system. When installing a cable terminal, the outer shielding layer of a section of cable must be stripped off, resulting in uneven distribution of the electric field where the terminal is located, resulting in a tangential electric field that is unfavorable to insulation. In the prior art, the stress cone can be used to control the electric field strength of the terminal, which can homogenize the electric field to a certain extent and improve the electric field strength at the cut-off point of the shielding layer of the cable. The electric field distribution inside the stress cone can be optimized by adjusting the thickness, end curvature and axial length of the stress cone, but the optimization effect is limited.
随着绝缘材料性能的改进,也可以通过改变材料的介电常数,使得复合材料具有均化交流电场分布的功能,从而达到改善终端电场分布的目的。但是,目前无法测量电缆附件的内部介电常数值。With the improvement of the performance of the insulating material, the dielectric constant of the material can also be changed, so that the composite material has the function of homogenizing the AC electric field distribution, so as to achieve the purpose of improving the terminal electric field distribution. However, it is currently not possible to measure the internal permittivity value of cable accessories.
发明内容SUMMARY OF THE INVENTION
本申请提供了一种电缆附件的内部介电常数值计算方法以及计算装置,以解决现有技术中,无法测量电缆附件的内部介电常数值的问题。The present application provides a method and a computing device for calculating the internal dielectric constant value of a cable accessory, so as to solve the problem that the internal dielectric constant value of the cable accessory cannot be measured in the prior art.
第一方面,本发明提供了一种电缆附件的内部介电常数值计算方法,应用于电缆附件的内部介电常数值计算装置,所述电缆附件的内部介电常数值计算装置包括电极阵列,所述电极阵列所包含的至少两个电极对环绕设置于所述电缆附件的侧面,所述方法包括:In a first aspect, the present invention provides a method for calculating an internal permittivity value of a cable accessory, which is applied to a device for calculating an internal permittivity value of a cable accessory, wherein the device for calculating an internal permittivity value for the cable accessory includes an electrode array, At least two electrode pairs included in the electrode array are arranged around the side of the cable accessory, and the method includes:
采集所述至少两个电极对中每个电极对之间的电容值;collecting a capacitance value between each of the at least two electrode pairs;
获取所述电缆附件对应的内部介电常数分布与边界电容信息的耦合关系;obtaining the coupling relationship between the internal dielectric constant distribution corresponding to the cable accessory and the boundary capacitance information;
根据所述耦合关系以及所述至少两个电极对中每个电极对之间的电容值,计算所述电缆附件的内部介电常数值。Based on the coupling relationship and a capacitance value between each of the at least two electrode pairs, an internal permittivity value of the cable accessory is calculated.
进一步的,所述电缆附件的内部介电常数值计算装置还包括高压电源,所述高压电源与所述至少两个电极对中的每个电极对连接,在所述采集所述至少两个电极对中每个电极对之间的电容值的步骤之前,所述方法还包括:Further, the internal permittivity value calculation device of the cable accessory further includes a high-voltage power supply, and the high-voltage power supply is connected to each electrode pair of the at least two electrode pairs. Before the step of pairing the capacitance value between each electrode pair, the method further includes:
所述高压电源向所述至少两个电极对中的每个电极对输出交流电流;the high-voltage power supply outputs alternating current to each of the at least two electrode pairs;
所述采集所述至少两个电极对中每个电极对之间的电容值,包括:The collecting the capacitance value between each electrode pair in the at least two electrode pairs includes:
在所述至少两个电极对中的每个电极对之间通过所述交流电流的情况下,采集所述至少两个电极对中每个电极对之间的电容值。A capacitance value between each of the at least two electrode pairs is collected with the alternating current passing between each of the at least two electrode pairs.
进一步的,所述电极阵列所包含的至少两个电极对环绕设置于所述电缆附件的内壁侧面或者外壁侧面。Further, at least two electrode pairs included in the electrode array are arranged around the inner wall side or the outer wall side of the cable accessory.
第二方面,本发明还提供了一种电缆附件的内部介电常数值计算装置,所述电缆附件的内部介电常数值计算装置包括电极阵列,所述电极阵列所包含的至少两个电极对环绕设置于所述电缆附件的侧面,所述电缆附件的内部介电常数值计算装置包括:In a second aspect, the present invention also provides a device for calculating an internal permittivity value of a cable accessory, the device for calculating an internal permittivity value of the cable accessory includes an electrode array, and the electrode array includes at least two electrode pairs Around the side of the cable accessory, the internal dielectric constant value calculation device of the cable accessory includes:
采集模块,用于采集所述至少两个电极对中每个电极对之间的电容值;a collection module, configured to collect a capacitance value between each of the at least two electrode pairs;
获取模块,用于获取所述电缆附件对应的内部介电常数分布与边界电容信息的耦合关系;an acquisition module, used for acquiring the coupling relationship between the internal dielectric constant distribution corresponding to the cable accessory and the boundary capacitance information;
计算模块,用于根据所述耦合关系以及所述至少两个电极对中每个电极对之间的电容值,计算所述电缆附件的内部介电常数值。A calculation module, configured to calculate an internal permittivity value of the cable accessory according to the coupling relationship and a capacitance value between each of the at least two electrode pairs.
进一步的,所述电缆附件的内部介电常数值计算装置还包括高压电源,所述高压电源与所述至少两个电极对中的每个电极对连接;Further, the internal permittivity value calculation device of the cable accessory further includes a high-voltage power supply, and the high-voltage power supply is connected to each of the at least two electrode pairs;
所述高压电源向所述至少两个电极对中的每个电极对输出交流电流;the high-voltage power supply outputs alternating current to each of the at least two electrode pairs;
所述采集模块具体用于在所述至少两个电极对中的每个电极对之间通过所述交流电流的情况下,采集所述至少两个电极对中每个电极对之间的电容值。The acquisition module is specifically configured to acquire the capacitance value between each of the at least two electrode pairs when the alternating current is passed between each of the at least two electrode pairs .
进一步的,所述电极阵列所包含的至少两个电极对环绕设置于所述电缆附件的内壁侧面或者外壁侧面。Further, at least two electrode pairs included in the electrode array are arranged around the inner wall side or the outer wall side of the cable accessory.
由以上技术方案可知,本发明实施例提供的一种电缆附件的内部介电常数值计算方法以及计算装置,所述电缆附件的内部介电常数值计算装置包括电极阵列,所述电极阵列所包含的至少两个电极对环绕设置于所述电缆附件的侧面,所述方法包括:采集所述至少两个电极对中每个电极对之间的电容值;获取所述电缆附件对应的内部介电常数分布与边界电容信息的耦合关系;根据所述耦合关系以及所述至少两个电极对中每个电极对之间的电容值,计算所述电缆附件的内部介电常数值。这样,采用灵活的电极阵列布置方式,满足不同电压等级、不同结构的电缆附件的测试安装需求。通过非侵入、实时的无损检测方法计算电缆附件的内部介电常数值。实现过程简单,方便快捷。It can be known from the above technical solutions that an embodiment of the present invention provides a method for calculating an internal permittivity value of a cable accessory and a calculating device, wherein the device for calculating an internal permittivity value of the cable accessory includes an electrode array, and the electrode array includes The at least two electrode pairs are arranged around the side of the cable accessory, and the method includes: collecting the capacitance value between each electrode pair in the at least two electrode pairs; obtaining the corresponding internal dielectric of the cable accessory The coupling relationship between the constant distribution and the boundary capacitance information; the internal dielectric constant value of the cable accessory is calculated according to the coupling relationship and the capacitance value between each of the at least two electrode pairs. In this way, a flexible electrode array arrangement is adopted to meet the testing and installation requirements of cable accessories of different voltage levels and structures. Calculate the internal permittivity value of cable accessories through a non-invasive, real-time nondestructive testing method. The realization process is simple, convenient and quick.
附图说明Description of drawings
为了更清楚地说明本申请的技术方案,下面将对实施例中所需要使用的附图作简单地介绍,显而易见地,对于本领域普通技术人员而言,在不付出创造性劳动的前提下,还可以根据这些附图获得其他的附图。In order to illustrate the technical solutions of the present application more clearly, the accompanying drawings required in the embodiments will be briefly introduced below. Obviously, for those of ordinary skill in the art, without creative work, the Additional drawings can be obtained from these drawings.
图1为本发明提供的一种电缆附件的内部介电常数值计算方法的流程图;1 is a flowchart of a method for calculating an internal permittivity value of a cable accessory provided by the present invention;
图2为本发明提供的电极阵列的示意图;2 is a schematic diagram of an electrode array provided by the present invention;
图3为本发明提供的一种电缆附件的内部介电常数值计算装置的结构图。FIG. 3 is a structural diagram of a device for calculating an internal permittivity value of a cable accessory provided by the present invention.
具体实施方式Detailed ways
下面将详细地对实施例进行说明,其示例表示在附图中。下面的描述涉及附图时,除非另有表示,不同附图中的相同数字表示相同或相似的要素。以下实施例中描述的实施方式并不代表与本申请相一致的所有实施方式。仅是与权利要求书中所详述的、本申请的一些方面相一致的系统和方法的示例。Embodiments will be described in detail below, examples of which are illustrated in the accompanying drawings. Where the following description refers to the drawings, the same numerals in different drawings refer to the same or similar elements unless otherwise indicated. The implementations described in the following examples are not intended to represent all implementations consistent with this application. are merely exemplary of systems and methods consistent with some aspects of the present application as recited in the claims.
参见图1,图1是本发明提供的一种电缆附件的内部介电常数值计算方法的流程图,应用于电缆附件的内部介电常数值计算装置。电缆附件的内部介电常数值计算装置包括电极阵列,电极阵列所包含的至少两个电极对环绕设置于电缆附件的侧面。如图1所示,包括以下步骤:Referring to FIG. 1 , FIG. 1 is a flow chart of a method for calculating an internal permittivity value of a cable accessory provided by the present invention, which is applied to an internal permittivity value calculating device for a cable accessory. The internal dielectric constant value calculation device of the cable accessory includes an electrode array, and at least two electrode pairs included in the electrode array are arranged around the side of the cable accessory. As shown in Figure 1, it includes the following steps:
步骤101、采集所述至少两个电极对中每个电极对之间的电容值。Step 101: Collect a capacitance value between each of the at least two electrode pairs.
在步骤101中,可以采集至少两个电极对中每个电极对之间的电容值。In
针对不同电压等级的介电常数梯度电缆附件,可以设计不同的电极阵列,以及电缆附件内外部的电极布置。可以采用8组电极旋转激励测量模式的24电极电容层析技术(Electrical Capacitance Tomography,ECT)传感器,电容独立测量数与传统12电极ECT传感器相近,可以较好地保证实时成像速度。同时,被测电容值较大且动态范围较小,降低了信号检测电路设计难度,提高了测量精度,改善了测量区域灵敏场的均衡性,提高了场域中心物体的成像质量。For the dielectric constant gradient cable accessories of different voltage levels, different electrode arrays can be designed, as well as the electrode arrangement inside and outside the cable accessories. A 24-electrode capacitance tomography (ECT) sensor with 8 sets of electrode rotation excitation measurement mode can be used. The independent measurement number of capacitance is similar to that of the traditional 12-electrode ECT sensor, which can better ensure the real-time imaging speed. At the same time, the measured capacitance value is large and the dynamic range is small, which reduces the difficulty of signal detection circuit design, improves the measurement accuracy, improves the balance of the sensitive field in the measurement area, and improves the imaging quality of the object in the center of the field.
电力系统中,根据输电线路电压的高低分为不同的电压等级,如35kV、110kV、220kV、330kV、500kV等,不同电压等级中的电缆附件的形状和尺寸不尽相同,测量的时候需要具体分析。In the power system, according to the voltage of the transmission line, it is divided into different voltage levels, such as 35kV, 110kV, 220kV, 330kV, 500kV, etc. The shape and size of the cable accessories in different voltage levels are different, and specific analysis is required when measuring .
电极阵列的拓扑结构就是电极阵列的排布方式,包括电极的数目,大小,空间位置信息等。如图2所示,为电极阵列的示意图。电极阵列由多个电极构成,电极等间距安装于电缆附件的内壁周围,且在电缆附件的内壁呈环状平行整齐铺列,或平行交叉铺列。The topology of the electrode array is the arrangement of the electrode array, including the number, size, and spatial position information of the electrodes. As shown in FIG. 2 , it is a schematic diagram of the electrode array. The electrode array is composed of a plurality of electrodes, and the electrodes are installed around the inner wall of the cable accessory at equal intervals, and are arranged in a ring-shaped parallel and neatly arranged on the inner wall of the cable accessory, or are arranged in parallel and crosswise.
可选的,所述电缆附件的内部介电常数值计算装置还包括高压电源,所述高压电源与所述至少两个电极对中的每个电极对连接,在所述采集所述至少两个电极对中每个电极对之间的电容值的步骤之前,所述方法还包括:Optionally, the internal permittivity value calculation device of the cable accessory further includes a high-voltage power supply, and the high-voltage power supply is connected to each electrode pair of the at least two electrode pairs. Before the step of the capacitance value between each of the electrode pairs, the method further includes:
所述高压电源向所述至少两个电极对中的每个电极对输出交流电流;the high-voltage power supply outputs alternating current to each of the at least two electrode pairs;
所述采集所述至少两个电极对中每个电极对之间的电容值,包括:The collecting the capacitance value between each electrode pair in the at least two electrode pairs includes:
在所述至少两个电极对中的每个电极对之间通过所述交流电流的情况下,采集所述至少两个电极对中每个电极对之间的电容值。A capacitance value between each of the at least two electrode pairs is collected with the alternating current passing between each of the at least two electrode pairs.
需要说明的是,电缆附件的内部介电常数值计算装置还可以包括高压电源,高压电源与至少两个电极对中的每个电极对连接。高压电源可以向至少两个电极对中的每个电极对输出交流电流。此时,在至少两个电极对中的每个电极对之间通过交流电流的情况下,可以采集至少两个电极对中每个电极对之间的电容值。It should be noted that the device for calculating the internal permittivity value of the cable accessory may further include a high-voltage power supply, and the high-voltage power supply is connected to each of the at least two electrode pairs. The high voltage power supply may output alternating current to each of the at least two electrode pairs. At this time, in the case of passing an alternating current between each of the at least two electrode pairs, the capacitance value between each of the at least two electrode pairs may be collected.
已知介电常数分布ε(x,y),计算其电位分布再根据高斯通量定理即可求出该电极板上的感应电荷量Q,即Knowing the dielectric constant distribution ε(x, y), calculate its potential distribution Then according to the Gaussian flux theorem, the induced charge Q on the electrode plate can be obtained, that is,
式中,V为两电极板间的电位差,D为电极板的面积。In the formula, V is the potential difference between the two electrode plates, and D is the area of the electrode plates.
根据上述分析可求出的离散值,进一步用离散形式的向量ε取代连续向量ε(x,y),则依据上式,即可求出i-j电极对间的电容值。According to the above analysis, it can be found that The discrete value of , and further replace the continuous vector ε(x, y) with the discrete vector ε, then according to the above formula, the capacitance value between the ij electrode pair can be obtained.
步骤102、获取所述电缆附件对应的内部介电常数分布与边界电容信息的耦合关系。Step 102: Obtain the coupling relationship between the internal dielectric constant distribution corresponding to the cable accessory and the boundary capacitance information.
在步骤102中,可以获取电缆附件对应的内部介电常数分布与边界电容信息的耦合关系。可以通过仿真Comsol软件,进行静电场模拟,建立相应的几何和材料属性,通过计算内部材料属性与边界电容信息之间的关系确定耦合关系(敏感场矩阵)。In
敏感矩阵算法是动态成像算法,因此需要采集两组不同状态下的数据,采用敏感矩阵算法求得介电常数分布的步骤如下:The sensitivity matrix algorithm is a dynamic imaging algorithm, so it is necessary to collect two sets of data in different states. The steps to obtain the dielectric constant distribution using the sensitivity matrix algorithm are as follows:
(1)确定均匀场域的几何大小及形状并进行剖分。(1) Determine the geometric size and shape of the uniform field and divide it.
首先通过有限元仿真软件建模,建立和实际测量结构相同的模型,并进行网格的剖分,此时由于电缆附件的内部介电常数并不知道,因此将其设置为均匀材料,然后后续通过算法不断调整和修正材料参数,直到边界电容的测量值和仿真值较为接近。First, use finite element simulation software to model, establish the same model as the actual measurement structure, and perform mesh division. At this time, since the internal dielectric constant of the cable accessory is unknown, it is set as a homogeneous material, and then follow-up The material parameters are continuously adjusted and corrected through the algorithm until the measured value of the boundary capacitance is closer to the simulated value.
(2)进行边界电极上电位分布的多次测量,从而作为测量获得的数据。(2) A plurality of measurements of the potential distribution on the boundary electrodes are performed as data obtained by the measurements.
测量得到的就是边界不同电极对之间的电容数值。这个值是基准值,仿真过程就是不断调整内部介电常数分布,使得仿真得到的边界电容和这个值相接近。What is measured is the capacitance value between different electrode pairs at the boundary. This value is the reference value, and the simulation process is to continuously adjust the internal dielectric constant distribution, so that the boundary capacitance obtained by the simulation is close to this value.
(3)设定初始的介电常数分布。(3) Set the initial dielectric constant distribution.
由于待测结构的内部介电常数是不知道的,因此需要在仿真过程中设置初始值,在这里初始介电常数是均匀的,即为匀质电缆附件的介电常数,根据初始介电常数分布,仿真得到最初的边界电容,然后利用这个电容和实际测量电容的差异,再反馈到介电常数数值的调整,不断迭代,从而得到真实的介电常数数值。Since the internal dielectric constant of the structure to be tested is unknown, it is necessary to set the initial value during the simulation process, where the initial dielectric constant is uniform, that is, the dielectric constant of the homogeneous cable accessories, according to the initial dielectric constant Distribution, simulation to obtain the initial boundary capacitance, and then use the difference between this capacitance and the actual measured capacitance, and then feed back to the adjustment of the dielectric constant value, and iterate continuously to obtain the real dielectric constant value.
(4)计算系数矩阵S(耦合关系)。(4) Calculate the coefficient matrix S (coupling relation).
在计算边界电容的同时,根据有限元计算得到的电位分布信息,计算出不同电极之间的灵敏度矩阵,具体计算公式如下:While calculating the boundary capacitance, the sensitivity matrix between different electrodes is calculated according to the potential distribution information obtained by the finite element calculation. The specific calculation formula is as follows:
其中,Sij(k)为电极i和j之间的灵敏度分布,ε0为真空介电常数,和分别当电极i为激励电极和j为激励电极时在(x,y)处的电位分布。V为两电极之间的电位差。where Sij(k) is the sensitivity distribution between electrodes i and j, ε0 is the vacuum permittivity, and Potential distribution at (x, y) when electrode i is the excitation electrode and j is the excitation electrode, respectively. V is the potential difference between the two electrodes.
(5)得到场域新的介电常数分布。(5) A new dielectric constant distribution in the field is obtained.
根据仿真得到的灵敏度矩阵,结合测量所得边界电容和仿真所得边界电容的差,利用正则化算法求的介电常数差,这个差加上上一次计算得到的介电常数即得到了新的介电常数。According to the sensitivity matrix obtained from the simulation, combined with the difference between the measured boundary capacitance and the simulated boundary capacitance, the dielectric constant difference calculated by the regularization algorithm is used to obtain the new dielectric constant. constant.
通过数值仿真的方式建立敏感场的方法效率高,能够直接提取出场域内的灵敏度分布,避免了实测过程中的效率低、精度差等问题。The method of establishing the sensitive field by means of numerical simulation has high efficiency, and can directly extract the sensitivity distribution in the field, which avoids the problems of low efficiency and poor accuracy in the actual measurement process.
步骤103、根据所述耦合关系以及所述至少两个电极对中每个电极对之间的电容值,计算所述电缆附件的内部介电常数值。Step 103: Calculate the internal permittivity value of the cable accessory according to the coupling relationship and the capacitance value between each of the at least two electrode pairs.
在步骤103中,可以根据耦合关系以及至少两个电极对中每个电极对之间的电容值,计算电缆附件的内部介电常数值。In
通过高性能正则化非线性反演算法,根据输出的电容分布信息重构出电缆附件内部空间的介电常数分布信息。Through the high-performance regularized nonlinear inversion algorithm, the dielectric constant distribution information of the inner space of the cable accessory is reconstructed according to the output capacitance distribution information.
ΔC=SΔεΔC=SΔε
上式中,S即为敏感场矩阵(经过敏感矩阵得到新的介电常数分布),ΔC即为边界电容信息,Δε为内部介电常数值。事实上,就是通过对上式的求解,得到内部介电常数值。但这一求逆过程非线性严重,无法直接求逆,所以需要用到正则化算法,保证计算结果较为接近真实值。In the above formula, S is the sensitive field matrix (the new dielectric constant distribution is obtained through the sensitive matrix), ΔC is the boundary capacitance information, and Δε is the internal dielectric constant value. In fact, the internal permittivity value is obtained by solving the above formula. However, this inversion process is non-linear and cannot be directly inverted, so a regularization algorithm needs to be used to ensure that the calculation results are closer to the true value.
可以采用正则化高斯-牛顿算法实现ECT逆问题的计算,其步骤如下:The regularized Gauss-Newton algorithm can be used to calculate the ECT inverse problem. The steps are as follows:
(1)正则化高斯-牛顿算法的初值设置为均匀场域的介电常数分布值,并计算边界电极上的电容分布;(1) The initial value of the regularized Gauss-Newton algorithm is set to the dielectric constant distribution value of the uniform field, and the capacitance distribution on the boundary electrode is calculated;
(2)对雅克比矩阵进行计算,通过下式可以获得迭代步长hTRGN和新的介电常数分布:(2) Calculate the Jacobian matrix, and the iteration step size h TRGN and the new dielectric constant distribution can be obtained by the following formula:
其中,F(ε)是通过现有的介电常数分布情况求得的边界电极上的电位,C是边界电容的测量值,ε为被测场域的介电常数分布。各剖分单元间的相互关系可用一个调制矩阵R来表示,矩阵R的构造规则是:假设R是一个N×N的矩阵,其有限元模型剖分的单元数为N。α为松弛迭代系数。Among them, F(ε) is the potential on the boundary electrode obtained from the existing dielectric constant distribution, C is the measured value of the boundary capacitance, and ε is the dielectric constant distribution of the measured field. The mutual relationship between the subdivision elements can be represented by a modulation matrix R. The construction rule of the matrix R is: assuming that R is an N×N matrix, the number of elements divided by the finite element model is N. α is the relaxation iteration coefficient.
(3)对ECT正问题进行求解,从而获得该介电常数分布下边界电极上的电容;(3) Solve the ECT positive problem, so as to obtain the capacitance on the boundary electrode under the dielectric constant distribution;
(4)对下式进行计算,并判断其结果是否符合算法结束的条件。若符合,则迭代结束,否则返回(2)。(4) Calculate the following formula, and judge whether the result meets the conditions for ending the algorithm. If so, the iteration ends, otherwise return (2).
其中,f(ε)为边界电容的测量值C关于介电常数ε的函数。where f(ε) is the measured value C of the boundary capacitance as a function of the dielectric constant ε.
根据以上步骤即可计算得到介电常数值。According to the above steps, the dielectric constant value can be calculated.
利用正则化反演算法的非线性可以近似模拟电磁逆问题敏感场的非线性,从而能够具有较高的反演精度。Using the nonlinearity of the regularized inversion algorithm can approximate the nonlinearity of the sensitive field of the electromagnetic inverse problem, so that it can have a high inversion accuracy.
可选的,所述电极阵列所包含的至少两个电极对环绕设置于所述电缆附件的内壁侧面或者外壁侧面。Optionally, at least two electrode pairs included in the electrode array are arranged around the inner wall side or the outer wall side of the cable accessory.
需要说明的是,电极阵列所包含的至少两个电极对可以环绕设置于电缆附件的内壁侧面或者外壁侧面。电缆附件是中空结构,分为内外两侧,具有两个面,内壁侧面指的是内部的面,外壁侧面指的是外部的面。It should be noted that, at least two electrode pairs included in the electrode array can be arranged around the inner wall side or the outer wall side of the cable accessory. The cable attachment is a hollow structure, divided into inner and outer sides, with two faces, the inner wall side refers to the inner face, and the outer wall side refers to the outer face.
由以上技术方案可知,本发明实施例提供的一种电缆附件的内部介电常数值计算方法,应用于电缆附件的内部介电常数值计算装置,所述电缆附件的内部介电常数值计算装置包括电极阵列,所述电极阵列所包含的至少两个电极对环绕设置于所述电缆附件的侧面,所述方法包括:采集所述至少两个电极对中每个电极对之间的电容值;获取所述电缆附件对应的内部介电常数分布与边界电容信息的耦合关系;根据所述耦合关系以及所述至少两个电极对中每个电极对之间的电容值,计算所述电缆附件的内部介电常数值。这样,采用灵活的电极阵列布置方式,满足不同电压等级、不同结构的电缆附件的测试安装需求。通过非侵入、实时的无损检测方法计算电缆附件的内部介电常数值。实现过程简单,方便快捷。It can be seen from the above technical solutions that the method for calculating the internal dielectric constant value of a cable accessory provided by the embodiment of the present invention is applied to the internal dielectric constant value calculating device of the cable accessory, and the internal dielectric constant value calculating device of the cable accessory is applied. An electrode array is included, and at least two electrode pairs included in the electrode array are arranged around the side of the cable accessory, and the method includes: collecting a capacitance value between each electrode pair in the at least two electrode pairs; Obtain the coupling relationship between the internal dielectric constant distribution corresponding to the cable accessory and the boundary capacitance information; according to the coupling relationship and the capacitance value between each electrode pair in the at least two electrode pairs, calculate the Internal dielectric constant value. In this way, a flexible electrode array arrangement is adopted to meet the testing and installation requirements of cable accessories of different voltage levels and structures. Calculate the internal permittivity value of cable accessories through a non-invasive, real-time nondestructive testing method. The realization process is simple, convenient and quick.
参见图3,图3是本发明提供的一种电缆附件的内部介电常数值计算装置的结构图。电缆附件的内部介电常数值计算装置300包括电极阵列,电极阵列所包含的至少两个电极对环绕设置于电缆附件的侧面。如图3所示,电缆附件的内部介电常数值计算装置300包括采集模块301、获取模块302和计算模块303,其中:Referring to FIG. 3 , FIG. 3 is a structural diagram of a device for calculating the internal permittivity value of a cable accessory provided by the present invention. The internal permittivity
采集模块301,用于采集所述至少两个电极对中每个电极对之间的电容值;a
获取模块302,用于获取所述电缆附件对应的内部介电常数分布与边界电容信息的耦合关系;an
计算模块303,用于根据所述耦合关系以及所述至少两个电极对中每个电极对之间的电容值,计算所述电缆附件的内部介电常数值。The
可选的,所述电缆附件的内部介电常数值计算装置还包括高压电源,所述高压电源与所述至少两个电极对中的每个电极对连接;Optionally, the internal dielectric constant value calculation device of the cable accessory further includes a high-voltage power supply, and the high-voltage power supply is connected to each of the at least two electrode pairs;
所述高压电源向所述至少两个电极对中的每个电极对输出交流电流;the high-voltage power supply outputs alternating current to each of the at least two electrode pairs;
所述采集模块301具体用于在所述至少两个电极对中的每个电极对之间通过所述交流电流的情况下,采集所述至少两个电极对中每个电极对之间的电容值。The
可选的,所述电极阵列所包含的至少两个电极对环绕设置于所述电缆附件的内壁侧面或者外壁侧面。Optionally, at least two electrode pairs included in the electrode array are arranged around the inner wall side or the outer wall side of the cable accessory.
电缆附件的内部介电常数值计算装置300能够实现图1的方法实施例中电缆附件的内部介电常数值计算装置实现的各个过程,为避免重复,这里不再赘述。且电缆附件的内部介电常数值计算装置300可以实现采用灵活的电极阵列布置方式,满足不同电压等级、不同结构的电缆附件的测试安装需求。通过非侵入、实时的无损检测方法计算电缆附件的内部介电常数值。实现过程简单,方便快捷。The
本申请提供的实施例之间的相似部分相互参见即可,以上提供的具体实施方式只是本申请总的构思下的几个示例,并不构成本申请保护范围的限定。对于本领域的技术人员而言,在不付出创造性劳动的前提下依据本申请方案所扩展出的任何其他实施方式都属于本申请的保护范围。Similar parts between the embodiments provided in the present application may be referred to each other. The specific embodiments provided above are just a few examples under the general concept of the present application, and do not constitute a limitation on the protection scope of the present application. For those skilled in the art, any other implementations expanded according to the solution of the present application without creative work fall within the protection scope of the present application.
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