CN108205088A - A kind of parallel radio interference of high voltage ac/dc circuit calculates and optimization method - Google Patents
A kind of parallel radio interference of high voltage ac/dc circuit calculates and optimization method Download PDFInfo
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Abstract
本发明为一种高压交直流线路并行的无线电干扰计算及优化方法,根据现有实际高压交直流并行输电线路的相关信息,包括交流线路电压等级,回路数,直流电路电压等级,线路结构等,建立二维的混合无线电干扰计算模型;针对的输入模型参数,考虑交直流相互影响时,采用经验公式法与激发函数法分别计算交直流线路相互影响下的无线电干扰,并进行几何叠加得到输电线路的混合无线电干扰值,与此同时,通过对不同线路高度及并行距离的混合无线电干扰计算,筛选得出无线电干扰的优化方法。本发明降低高压交直流并行输电线路的无线电干扰强度,达到优化高压交直流并行线路电磁环境的目的。
The present invention is a radio interference calculation and optimization method for parallel high-voltage AC-DC lines. According to the relevant information of existing actual high-voltage AC-DC parallel transmission lines, including AC line voltage level, number of circuits, DC circuit voltage level, line structure, etc., Establish a two-dimensional hybrid radio interference calculation model; for the input model parameters, when considering the interaction of AC and DC, use the empirical formula method and the excitation function method to calculate the radio interference under the interaction of AC and DC lines, and perform geometric superposition to obtain the transmission line At the same time, through the calculation of mixed radio interference of different line heights and parallel distances, the optimization method of radio interference is obtained by screening. The invention reduces the radio interference intensity of the high-voltage AC-DC parallel transmission line and achieves the purpose of optimizing the electromagnetic environment of the high-voltage AC-DC parallel line.
Description
技术领域technical field
本发明属于输电线路无线电干扰环境评价技术领域,尤其涉及一种高压交直流线路并行的无线电干扰计算及优化方法。The invention belongs to the technical field of radio interference environment evaluation of power transmission lines, and in particular relates to a radio interference calculation and optimization method for parallel high-voltage AC and DC lines.
背景技术Background technique
随着我国超高压和特高压输电线路的不断建设,电力系统全国联网、南北互通、西电东送等工程的实施,我国电网交直流并行的输送格局已基本形成。而电网的发展,使得输电走廊尤其是在经济发达地区日趋紧缺,交直流线路并行架设已不可避免。而随着交直流并行线路的出现,交直流混合无线电干扰引起了越来越多的关注。With the continuous construction of ultra-high voltage and ultra-high voltage transmission lines in my country, the implementation of projects such as national grid connection of power systems, north-south interconnection, and west-to-east power transmission, the AC-DC parallel transmission pattern of my country's power grid has basically formed. The development of the power grid has made the transmission corridors increasingly scarce, especially in economically developed areas, and the parallel erection of AC and DC lines is inevitable. With the emergence of AC-DC parallel lines, AC-DC hybrid radio interference has attracted more and more attention.
国内外学者及研究机构发现,对于高压交直流并行线路的中,无线电干扰较交流线路和直流线路单独运行时有所不同,在交直流并行时,其各个导线的电晕放电有一定的改变,这影响这无线电干扰的产生,而并行间距之间的无线电干扰叠加明显,所以显示出不同于单独运行时的情况,这导致交直流并行时混合无线电干扰预测困难。目前对无线电干扰的研究主要还是对交流线路和直流线路的无线电分别进行研究,对于无线电干扰预测的研究主要是通过总结电晕笼实验的数据得到经验公式。美国电力科学研究院(EPRI)、国际无线电干扰委员会(CISPR)、魁北克水电研究院(IREQ)、国际大电网(CIGRE)等也相继提出了自己的激发函数公式。激发函数法也是利用电晕笼实验得到激发函数,通过电晕电流的计算,分析其传播过程,最后得到电晕电流造成的无线电干扰的场强。激发函数法适用于四分裂及以上的输电线路。直流线路的无线电干扰研究还很少,主要还是基于实验得出的经验公式法。Scholars and research institutions at home and abroad have found that for high-voltage AC-DC parallel lines, the radio interference is different from that of AC lines and DC lines running alone. When AC-DC parallel, the corona discharge of each wire has a certain change. This affects the generation of radio interference, and the radio interference superposition between parallel spaces is obvious, so it is different from the situation when running alone, which makes it difficult to predict mixed radio interference when AC and DC are parallel. At present, the research on radio interference is mainly to study the radios of AC lines and DC lines respectively, and the research on radio interference prediction is mainly to obtain empirical formulas by summarizing the data of corona cage experiments. The Electric Power Research Institute (EPRI), the International Committee on Radio Interference (CISPR), the Quebec Hydropower Research Institute (IREQ), and the International Power Grid (CIGRE) have also successively proposed their own excitation function formulas. The excitation function method also uses the corona cage experiment to obtain the excitation function, and through the calculation of the corona current, analyzes its propagation process, and finally obtains the field strength of the radio interference caused by the corona current. The excitation function method is suitable for four-split and above transmission lines. There are still few researches on the radio interference of DC lines, mainly based on empirical formulas obtained from experiments.
通过前面所述,发明人发现,国内外的研究虽然已有能计算交直流混合无线电干扰的方法,主要还是分别计算,在计算过程忽略了交流线路和直流线路之间的影响,然后再叠加,这使得交直流并行线路无线电干扰的计算精度有所欠缺,需要在这些方面进行提高。Through the foregoing, the inventors found that although domestic and foreign researches have already been able to calculate the method of AC-DC hybrid radio interference, they are mainly calculated separately. In the calculation process, the influence between the AC line and the DC line is ignored, and then superimposed. This makes the calculation accuracy of radio interference of AC and DC parallel lines lacking, and needs to be improved in these aspects.
而随着我国对输电线路的需求增加,对高压交直流并行线路的混合无线电干扰研究也需要进一步的提高。此时,对高压交流线路和直流线路并行的混合无线电干扰计算研究就十分必要。With the increasing demand for transmission lines in our country, the research on hybrid radio interference of high-voltage AC-DC parallel lines also needs to be further improved. At this time, it is very necessary to study the hybrid radio interference calculation of high-voltage AC lines and DC lines in parallel.
发明内容Contents of the invention
本发明旨在解决以上现有技术的问题。提出了一种降低高压交直流并行线路的无线电干扰的高压交直流线路并行的混合无线电干扰计算及优化方法。本发明的技术方案如下:The present invention aims to solve the above problems of the prior art. A hybrid radio interference calculation and optimization method for parallel high-voltage AC-DC lines to reduce radio interference of high-voltage AC-DC parallel lines is proposed. Technical scheme of the present invention is as follows:
一种高压交直流线路并行的无线电干扰计算及优化方法,其包括以下步骤:A parallel radio interference calculation and optimization method for high-voltage AC and DC lines, comprising the following steps:
a、根据现有实际高压交直流并行输电线路的相关信息,包括交流线路电压等级、回路数、直流电路电压等级及线路结构,建立二维的混合无线电干扰计算模型;a. Establish a two-dimensional hybrid radio interference calculation model based on the relevant information of the existing actual high-voltage AC-DC parallel transmission lines, including the voltage level of the AC line, the number of circuits, the voltage level of the DC circuit, and the line structure;
b、针对步骤a所建立的混合无线电干扰计算模型,输入交流线路和直流线路的电压等级,线路高度,并行间距,分裂导线数,分裂导线半径等模型参数,考虑交流线路和直流线路相互之间影响下,采用经验公式法计算交流导线分裂数小于4时的直流影响下的无线电干扰与激发函数法计算分裂数大于4时直流影响下的交流线路的无线电干扰,并用经验公式法计算直流线路的无线电干扰。并进行几何叠加得到输电线路的混合无线电干扰值,与此同时,对不同线路高度及并行距离的混合无线电干扰计算;b. For the hybrid radio interference calculation model established in step a, input the model parameters such as the voltage level of the AC line and the DC line, the line height, the parallel spacing, the number of split wires, and the radius of the split wires, taking into account the interaction between the AC line and the DC line Under the influence of DC, the empirical formula method is used to calculate the radio interference of the AC line under the influence of DC when the split number is less than 4 and the excitation function method is used to calculate the radio interference of the AC line under the influence of DC when the split number is greater than 4, and the empirical formula method is used to calculate the radio interference of the DC line radio interference. And carry out geometric superposition to obtain the mixed radio interference value of the transmission line, at the same time, calculate the mixed radio interference of different line heights and parallel distances;
c、在步骤b的计算过程,对比分析不同高压交直流线路的高度,间隔距离,的混合无线电干扰大小,从而获得降低高压交直流并行输电线路的无线电干扰强度的优化方法,达到优化高压交直流并行线路电磁环境的目的,为目前的输电线路的改建提供参考。c. In the calculation process of step b, compare and analyze the height, separation distance, and mixed radio interference of different high-voltage AC and DC lines, so as to obtain an optimization method for reducing the radio interference intensity of high-voltage AC-DC parallel transmission lines, and achieve the optimization of high-voltage AC-DC The purpose of parallel line electromagnetic environment is to provide reference for the reconstruction of current transmission lines.
进一步的,所述步骤a)实际高压交直流并行输电线路的相关信息具体为:交流输电线路电压等级、直流输电线路电压等级、导线分裂间距、导线分裂数、子导线半径、相序排列、距地的线路高度以及交直流线路并行间距。Further, in the step a) the relevant information of the actual high-voltage AC-DC parallel transmission line specifically includes: AC transmission line voltage level, DC transmission line voltage level, wire splitting distance, wire splitting number, sub-conductor radius, phase sequence arrangement, pitch The line height of the ground and the parallel spacing of the AC and DC lines.
进一步的,所述步骤b)经验公式及激发函数如下:Further, the empirical formula and activation function of the step b) are as follows:
1)当交流导线的分裂数小于等于4时,利用经验公式法计算1) When the number of splits of the AC conductor is less than or equal to 4, use the empirical formula method to calculate
采用的是国际无线电干扰特别委员会推荐公式The formula recommended by the International Special Committee on Radio Interference is adopted
式中E表示无线电干扰场强,dB(μV/m);r—导线半径,cm;D—观测点距某一相输电线的距离,m;gmax—导线表面最大电位梯度,kV/cm,该式计算的是好天气下50%时间概率的无线电干扰值,对于双80%//80%值可由该值增加6~10dB(uV/m);In the formula, E represents the radio interference field strength, dB(μV/m); r—the radius of the conductor, cm; D—the distance between the observation point and a certain phase transmission line, m; g max —the maximum potential gradient on the surface of the conductor, kV/cm , this formula calculates the radio interference value with 50% time probability in good weather, and the double 80%//80% value can be increased by 6~10dB(uV/m);
2)当交流导线分裂数大于4时,利用激发函数法进行计算2) When the AC conductor splitting number is greater than 4, use the excitation function method to calculate
美国电力研究院提出的大雨状况下的激发函数具体为:The excitation function under the heavy rain condition proposed by the American Electric Power Research Institute is specifically:
Γ=70-585/gmax+35lgd-10lgnΓ=70-585/g max +35lgd-10lgn
式中,gmax为导线表面的最大电位梯度有效值,kV/cm;d为子导线直径,cm;n表示分裂导线数;In the formula, g max is the effective value of the maximum potential gradient on the surface of the wire, kV/cm; d is the diameter of the sub-wire, cm; n represents the number of split wires;
3)直流无线电干扰计算公式3) DC radio interference calculation formula
双极直流输电线路中计算无线电干扰值的公式:Formula for calculating radio interference values in bipolar DC transmission lines:
Edc为所计算的无线电干扰值,dB,gmax为导线表面的最大电位梯度kV/cm;r为子导线半径,cm;n为分裂导线根数;D为计算点距正导线的距离,m;ΔEw为气象修正项,以海拔500m为基准,每1000m增加3.3dB;ΔEf为干扰频率修正项,ΔEf=5(1-2(lg(10f))2);f为所需计算的频率,MHz。E dc is the calculated radio interference value, dB, g max is the maximum potential gradient kV/cm on the surface of the wire; r is the radius of the sub-wire, cm; n is the number of split wires; D is the distance between the calculation point and the positive wire, m; ΔE w is the meteorological correction item, with an altitude of 500m as the benchmark, an increase of 3.3dB per 1000m; ΔE f is the interference frequency correction item, ΔE f =5(1-2(lg(10f)) 2 ); f is the required Calculated frequency, MHz.
进一步的,所述步骤b)中输电线路的混合无线电干扰值的计算具体包括以下步骤:Further, the calculation of the mixed radio interference value of the transmission line in the step b) specifically includes the following steps:
1)首先将交流线路与直流线路在同一个系统中,利用模拟电荷法计算各个导线的表面场强;1) First, put the AC line and the DC line in the same system, and use the simulated charge method to calculate the surface field strength of each wire;
2)确定交流导线的分裂数,如果交流导线数小于等于4,则利用交流经验公式进行计算,如果分裂数大于4,则利用激发函数法进行计算,得到交流侧的无线电干扰值,同时根据标准修正为晴天下的无线电干扰值;2) Determine the number of splits of the AC wires. If the number of AC wires is less than or equal to 4, use the AC empirical formula to calculate. If the number of splits is greater than 4, use the excitation function method to calculate the radio interference value on the AC side. At the same time, according to the standard Corrected for radio interference values on sunny days;
3)直流侧利用直流无线电干扰经验公式进行计算,得到晴天下的无线电干扰值;3) The DC side is calculated using the DC radio interference empirical formula to obtain the radio interference value in sunny days;
4)将线路下方同一个点处的交流无线电干扰值和直流无线电干扰值进行几何叠加,得到晴天时混合无线电干扰值。4) Geometrically superpose the AC radio interference value and the DC radio interference value at the same point below the line to obtain the mixed radio interference value in sunny days.
进一步的,获取符合混合无线电干扰环境评价标准时的线路高度及并行间距具体为:筛选出最小的混合无线电干扰强度时,与其对应的交直流线路高度及并行间距。Further, obtaining the line height and parallel spacing when meeting the mixed radio interference environment evaluation standard is specifically: when the minimum mixed radio interference intensity is selected, the corresponding AC and DC line height and parallel spacing.
进一步的,所述线路高度需要在相关线路建设标准区间内变化,并行距离在60m-120m之间寻找。Further, the height of the line needs to be changed within the relevant line construction standard interval, and the parallel distance is found between 60m-120m.
进一步的,所述采用几何叠加的方式具体包括:Further, the method of using geometric superposition specifically includes:
将交流线路和直流线路产生的同频率干扰按平方和相加得到总的干扰电平:The total interference level is obtained by adding the same-frequency interference generated by the AC line and the DC line according to the sum of squares:
以上公式的电场单位为μV/m,如果单位是dB(μV/m)可以用下式合成:The electric field unit of the above formula is μV/m. If the unit is dB(μV/m), it can be synthesized by the following formula:
式中,E为混合无线电干扰场强,Eac为考虑直流影响的交流线路无线电干扰场强,Edc为考虑叫支路影响的直流线路无线电干扰场强。In the formula, E is the hybrid radio interference field strength, E ac is the radio interference field strength of the AC line considering the influence of DC, and E dc is the radio interference field strength of the DC line considering the influence of the branch circuit.
一种基于所述方法的高压交流线路和直流线路并行的混合无线电干扰计算及优化方法系统,所述系统包括:A hybrid radio interference calculation and optimization method system based on the method for high-voltage AC lines and DC lines in parallel, the system includes:
计算模型构建单元,用于高压交直流并行线路的相关信息,并根据所述确定的相关信息构建计算模型;A calculation model building unit, used for the relevant information of the high-voltage AC-DC parallel line, and constructing a calculation model according to the determined relevant information;
线路高度及并行间距筛选单元,对于输电线路的不同线路高度以及并行间距,利用无线电干扰的经验公式或激发函数法进行计算,并叠加,得到不同线路高度及并行间距对应的混合无线电干扰,并在所述得到的不同线路高度及并行间距对应的混合无线电干扰中,筛选出满足一定条件的混合无线电干扰强度及其对应的线路高度及并行间距;Line height and parallel spacing screening unit, for different line heights and parallel spacing of transmission lines, use the empirical formula of radio interference or excitation function method to calculate, and superimpose, to obtain the mixed radio interference corresponding to different line heights and parallel spacing, and in Among the mixed radio interference corresponding to different line heights and parallel spacings obtained, the mixed radio interference intensity and the corresponding line height and parallel spacing satisfying certain conditions are selected;
线路高度及并行间距修订单元,用于获取符合混合无线电干扰环境评价标准时的线路高度及并行间距,为目前的输电线路的改建提供参考。The line height and parallel spacing revision unit is used to obtain the line height and parallel spacing when meeting the mixed radio interference environmental evaluation standards, and provide reference for the reconstruction of current transmission lines.
本发明的优点及有益效果如下:Advantage of the present invention and beneficial effect are as follows:
在本发明实施例中,由于针对每一类线路高度及并行间距采用上述方案运算,筛选出满足一定条件的混合无线电干扰及其对应的各个线路高度及并行间距,从而降低高压交直流并行线路的无线电干扰,达到优化交直流并行线路混合无线电干扰场强的目的。In the embodiment of the present invention, due to the calculation of the above scheme for each type of line height and parallel spacing, the mixed radio interference that meets certain conditions and the corresponding line heights and parallel spacing are screened out, thereby reducing the high-voltage AC/DC parallel lines. Radio interference, to achieve the purpose of optimizing the mixed radio interference field strength of AC and DC parallel lines.
附图说明Description of drawings
图1是本发明提供优选实施例提供的一种高压交直流线路并行的无线电干扰计算及优化方法的整体实施过程图;Fig. 1 is an overall implementation process diagram of a high-voltage AC/DC line parallel radio interference calculation and optimization method provided by a preferred embodiment of the present invention;
图2为本发明实施例提供的一种高压交直流线路并行的无线电干扰计算及优化方法计算流程图;Fig. 2 is a calculation flowchart of a parallel radio interference calculation and optimization method for high-voltage AC and DC lines provided by an embodiment of the present invention;
图3为本发明实施例提供的一种高压交直流线路并行的无线电干扰计算及优化方法测点与导线位置示意图;Fig. 3 is a schematic diagram of measurement points and wire positions of a parallel radio interference calculation and optimization method for high-voltage AC and DC lines provided by an embodiment of the present invention;
图4为本发明实施例提供的一种高压交直流线路并行的无线电干扰计算及优化方法中电晕电流传播分布式电路示意图Fig. 4 is a schematic diagram of a distributed circuit for corona current propagation in a high-voltage AC/DC line parallel radio interference calculation and optimization method provided by an embodiment of the present invention
图5为本发明实施例提供的一种高压交直流线路并行的无线电干扰计算及优化方法的计算系统图。FIG. 5 is a calculation system diagram of a high-voltage AC-DC line parallel radio interference calculation and optimization method provided by an embodiment of the present invention.
具体实施方式Detailed ways
下面将结合本发明实施例中的附图,对本发明实施例中的技术方案进行清楚、详细地描述。所描述的实施例仅仅是本发明的一部分实施例。The technical solutions in the embodiments of the present invention will be described clearly and in detail below with reference to the drawings in the embodiments of the present invention. The described embodiments are only some of the embodiments of the invention.
本发明解决上述技术问题的技术方案是:The technical scheme that the present invention solves the problems of the technologies described above is:
如图1所示,为一种高压交直流线路并行的无线电干扰计算及优化方法的整体实施过程图:As shown in Figure 1, it is a diagram of the overall implementation process of a high-voltage AC-DC line parallel radio interference calculation and optimization method:
步骤1、确定高压交直流并行输电线路的相关信息,并根据相关信息构建二维混合无线电干扰计算模型。Step 1. Determine the relevant information of the high-voltage AC-DC parallel transmission line, and construct a two-dimensional hybrid radio interference calculation model based on the relevant information.
具体过程为,确定高压交直流并行输电线路的相关信息,包括交流输电线路电压等级、直流输电线路电压等级、导线分裂间距、导线分裂数、子导线半径,相序排列、距地的线路高度以及交直流线路并行间距。The specific process is to determine the relevant information of the high-voltage AC-DC parallel transmission line, including the voltage level of the AC transmission line, the voltage level of the DC transmission line, the distance between the conductor splits, the number of conductor splits, the radius of the sub-conductors, the phase sequence arrangement, the height of the line from the ground, and Parallel spacing of AC and DC lines.
步骤2、针对相应的高压交直流输电电路的电压等级,交流线路与直流线路间隔距离,采用无网格法对计算模型进行求解运算,得到高压交直流并行时的混合无线电干扰场强,并改变线路高度及并行间距。上述方法进行计算。Step 2. For the voltage level of the corresponding high-voltage AC-DC transmission circuit, the distance between the AC line and the DC line, the calculation model is solved by using the meshless method, and the mixed radio interference field strength when the high-voltage AC-DC parallel is obtained, and changed Line height and parallel spacing. Calculated using the above method.
具体过程为,所述的无线电干扰计算分为在同一个系统中计算相互影响下的导线表面最大电位梯度,再分别利用交流线路及直流线路的计算公式进行计算,再叠加。所述的改变线路高度及并行间距,线路高度需要在相关线路建设标准区间内变化,并行距离需在60m-120m之间寻找。The specific process is that the calculation of the radio interference is divided into calculating the maximum potential gradient of the wire surface under mutual influence in the same system, and then using the calculation formulas of the AC line and the DC line to calculate respectively, and then superimposing. As for changing the line height and parallel spacing, the line height needs to be changed within the relevant line construction standard range, and the parallel distance needs to be found between 60m-120m.
步骤3、获取符合混合电场环境评价标准时的线路高度及并行间距,为目前的输电线路的改建提供参考。Step 3. Obtain the line height and parallel spacing when meeting the mixed electric field environmental evaluation standard, and provide reference for the reconstruction of the current transmission line.
具体过程为,所述的获取符合混合无线电干扰环境评价标准时的线路高度及并行间距为:筛选出最小的混合无线电干扰强度及其对应的交直流线路高度及并行间距。The specific process is that the acquisition of the line height and parallel spacing when meeting the mixed radio interference environment evaluation standard is: screening out the minimum mixed radio interference intensity and its corresponding AC and DC line height and parallel spacing.
在本发明实施例中,本发明的主要计算具体如下:In the embodiment of the present invention, the main calculation of the present invention is specifically as follows:
I交直流并行线路的表面最大电位梯度计算I Calculation of Maximum Surface Potential Gradient of AC and DC Parallel Lines
输电线路导线表面电场强度是线路发生电晕放电现象的决定性因素。所以输电线路导线表面电场强度和起晕场强的计算是计算线路无线电干扰之前的必要的计算。The electric field intensity on the surface of the conductor of the transmission line is the decisive factor for the occurrence of corona discharge on the line. Therefore, the calculation of the surface electric field strength and the inception field strength of the transmission line conductor is a necessary calculation before calculating the radio interference of the line.
利用模拟电荷法计算在同一个系统中研究交直流并行线路的表面最大电位梯度,具体计算步骤如下所示:Using the simulated charge method to calculate the maximum potential gradient on the surface of AC and DC parallel lines in the same system, the specific calculation steps are as follows:
a)输入线路数据,包括输电线路电压等级,导线分裂半径,导线分裂数,子导线半径,各个导线的位置坐标。计算各个导线的等效半径,a) Input line data, including transmission line voltage level, wire split radius, number of wire splits, sub-wire radius, and position coordinates of each wire. Calculate the equivalent radius of each wire,
其中Ri为第i根导线的等效半径,m,R为分裂导线半径,m,n为分裂数,r为次导线半径,m。Where Ri is the equivalent radius of the i-th wire, m, R is the radius of the split wire, m, n is the number of splits, and r is the radius of the secondary wire, m.
b)通过电位系数法计算各个导线上的电荷Qb) Calculate the charge Q on each wire by the potential coefficient method
式中,Pii为自电位系数,,Pij为第j根导线模拟电荷在第i根导线匹配点上产生的电位值时称为电位系数。电位系数通过计算,其中hi为第i根导线对地高度,Ri为导线等效半径,Lij为第i根导线到第j根导线的距离,L'ij为第i根导线到第j根镜像导线的距离。Qn为第n根导线的模拟电荷量,为第n根导线的电位。ε0为真空介电常数。In the formula, P ii is the self-potential coefficient, and P ij is the potential value generated by the analog charge of the j-th wire on the matching point of the i-th wire, which is called the potential coefficient. Potential coefficient through Calculate, where h i is the height of the i-th wire to the ground, R i is the equivalent radius of the wire, L ij is the distance from the i-th wire to the j-th wire, and L' ij is the mirror image from the i-th wire to the j-th wire wire distance. Qn is the analog charge of the nth wire, is the potential of the nth wire. ε 0 is the dielectric constant of vacuum.
c)计算导线表面最大电场强度c) Calculate the maximum electric field intensity on the wire surface
其中gmax为导线表面最大电场强度,kV/cm,Q为该导线的模拟电荷,ε0为真空介电常数,r为次导线半径,cm,N为导线分裂数,R为导线等效半径,cm。II考虑直流影响的交流线路的无线电干扰计算Where g max is the maximum electric field intensity on the surface of the wire, kV/cm, Q is the simulated charge of the wire, ε0 is the vacuum dielectric constant, r is the radius of the secondary wire, cm, N is the number of wire splits, and R is the equivalent radius of the wire , cm. II Calculation of Radio Interference on AC Lines Considering DC Effects
通过I中交直流并行线路的表面最大电位梯度的计算,得到同一个系统中交流线路和直流线路的导线的表面最大电位梯度。Through the calculation of the maximum surface potential gradient of the AC and DC parallel lines in I, the maximum surface potential gradient of the conductors of the AC line and the DC line in the same system is obtained.
对于输电线路无线电干扰的计算方法,当导线的分裂数发生变化时,其无线电干扰值的计算方法会有不同,主要有两种:经验公式法与激发函数法。经验公式是在导线分裂数为1~4,运行电压为200~750kV,导线表面场强为12~20kV/cm时,根据测量结果导出的。一般只适合于计算导线分裂数不大于4的高压输电线路的无线电干扰。而当分裂导线数大于4时,通常采用激发函数法计算。For the calculation method of transmission line radio interference, when the splitting number of the wire changes, the calculation method of the radio interference value will be different, there are two main methods: empirical formula method and excitation function method. The empirical formula is derived from the measurement results when the conductor splitting number is 1-4, the operating voltage is 200-750kV, and the surface field strength of the conductor is 12-20kV/cm. Generally, it is only suitable for calculating the radio interference of high-voltage transmission lines with the number of conductor splits not greater than 4. When the number of split wires is greater than 4, the excitation function method is usually used for calculation.
对于交流导线产生的无线电干扰,计算流程如下:For radio interference generated by AC wires, the calculation procedure is as follows:
a)当交流导线的分裂数小于等于4时,利用经验公式法计算a) When the number of splits of the AC conductor is less than or equal to 4, use the empirical formula method to calculate
计算单回交流架空线路三相导线的每相在某一点产生的0.5MHz无线电干扰的场强,我国电力行业标准采用的是国际无线电干扰特别委员会(CISPR)推荐公式To calculate the field strength of 0.5MHz radio interference generated by each phase of the three-phase conductor of a single-circuit AC overhead line at a certain point, the power industry standard in my country adopts the formula recommended by the International Special Committee on Radio Interference (CISPR)
式中E表示无线电干扰场强,dB(μV/m);r—导线半径,cm;D—观测点距某一相输电线的距离,m;gmax—导线表面最大电位梯度,kV/cm。该式计算的是好天气下50%时间概率的无线电干扰值,对于双80%//80%值可由该值增加6~10dB(uV/m)。In the formula, E represents the radio interference field strength, dB(μV/m); r—the radius of the conductor, cm; D—the distance between the observation point and a certain phase transmission line, m; g max —the maximum potential gradient on the surface of the conductor, kV/cm . What this formula calculates is the radio interference value of 50% time probability under good weather, for double 80%//80% value can be increased by 6~10dB (uV/m) by this value.
b)当导线分裂数大于4时,利用激发函数法进行计算b) When the wire splitting number is greater than 4, use the excitation function method for calculation
激发函数法是通过大雨条件下电晕笼试验得到激发函数,而确定导线中的电晕脉冲电流,再根据电流计算干扰场强水平。激发函数法适用于单回、多回、任意分裂数的交流架空线路,是一种较理想的无线电干扰计算方法。The excitation function method is to obtain the excitation function through the corona cage test under heavy rain conditions, determine the corona pulse current in the wire, and then calculate the interference field strength level according to the current. The excitation function method is suitable for AC overhead lines with single circuit, multiple circuits, and any number of splits, and is an ideal method for calculating radio interference.
美国电力研究院(EPRI)提出的大雨状况下的激发函数是比较合适的激发函数,具体为:The excitation function under heavy rain conditions proposed by the Electric Power Research Institute (EPRI) is a more appropriate excitation function, specifically:
Γ=70-585/gmax+35lgd-10lgn\*MERGEFORMAT(5)Γ=70-585/g max +35lgd-10lgn\*MERGEFORMAT(5)
式中,gmax为导线表面的最大电位梯度有效值,kV/cm;d为子导线直径,cm;n表示分裂导线数。国家标准同时规定,根据大雨下的Γ值,可以得到小雨和好天气的激发函数,具体关系为:In the formula, g max is the effective value of the maximum potential gradient on the surface of the wire, kV/cm; d is the diameter of the sub-wire, cm; n represents the number of split wires. The national standard also stipulates that according to the Γ value under heavy rain, the excitation function of light rain and good weather can be obtained, and the specific relationship is:
Γ小雨=Γ大雨+δ0+δc\*MERGEFORMAT(6)Γlight rain =Γheavy rain +δ 0 +δ c \*MERGEFORMAT(6)
Γ好天气=Γ大雨-17\*MERGEFORMAT(7) Γgood weather =Γheavy rain -17\*MERGEFORMAT(7)
式中δ0和δc为计算小雨条件下激发函数时的修正值,可以由标准中修正曲线确定。Where δ 0 and δ c are correction values when calculating the excitation function under light rain conditions, which can be determined from the correction curve in the standard.
导线发生电晕时,自身会流过电晕电流,其他相导线上也会感应出电流,三相线路上的电晕电流可用激发函数求得,如式(1)When the wire corona occurs, the corona current will flow through itself, and the current will also be induced on the other phase wires. The corona current on the three-phase line can be obtained by the excitation function, as shown in formula (1)
式中:I为输电线路电流矩阵,非对角线元素反映了相间电流耦合作用;C为输电线路单位长度电容矩阵,ε0为真空介电常数;Γ为输电线路激发函数矩阵。In the formula: I is the current matrix of the transmission line, and the off-diagonal elements reflect the current coupling between phases; C is the capacitance matrix per unit length of the transmission line, ε0 is the vacuum dielectric constant; Γ is the excitation function matrix of the transmission line.
1根架空导线可以用单位长度串联分布阻抗Z和单位长度并联分布导纳Y来代表。对于如图4所示的电流微元,有以下关系(v,i,x,分别为沿线电压,电流,线路长度):An overhead conductor can be represented by a unit length series distributed impedance Z and a unit length parallel distributed admittance Y. For the current cell shown in Figure 4, there are the following relationships (v, i, x, respectively, along the line voltage, current, line length):
由式、可得二阶微分方程:From the formula, the second order differential equation can be obtained:
式为电流沿线路传播的特性方程。The formula is the characteristic equation of current propagation along the line.
对于三相线路,可以直接把式中的i换成三相电流向量,Y、Z换成对应的矩阵,结果仍然成立。给式两边同时乘以1个相模转换矩阵使原微分方程组变为3个独立的微分方程,问题就可以很容易解决。For the three-phase line, you can directly replace the i in the formula with the three-phase current vector, and replace Y and Z with the corresponding matrix, and the result is still valid. Multiply both sides of the formula by a phase-mode conversion matrix to make the original differential equations into three independent differential equations, and the problem can be easily solved.
若入λ2为由矩阵YZ的特征值生成的对角阵,S为对应的的特征向量矩阵,则有λ2=S-1YZS,记i(m)=S-1i,得(7)式两边同乘以S-1,得If input λ 2 is a diagonal matrix generated by the eigenvalues of matrix YZ, and S is the corresponding eigenvector matrix, then λ 2 =S -1 YZS, write i (m) = S -1 i, get (7 ) multiply both sides of the formula by S -1 , and get
将由式计算得到的电流代人i0 (m)=S-1i,结合边界条件,解式可得Substituting the current calculated by the formula into i 0 (m) = S -1 i, combined with the boundary conditions, the solution of the formula can be obtained
对式的解做相模反变换,可得电晕电流传播公式为:The phase-mode inverse transformation is performed on the solution of the formula, and the corona current propagation formula can be obtained as:
i=Si(m)\*MERGEFORMAT(14)i=Si (m) \*MERGEFORMAT(14)
计算得到线路上传播的电晕电流后,下一步要计算干扰场强。如前所述,无线电干扰主要是输电线路上流过高频电晕电流时在周围空间形成的电磁场。高度为方的载流导体在高度为h1,水平坐标为y的测点(如图3所示)处产生的磁场强度H与电流i满足After calculating the corona current propagating on the line, the next step is to calculate the interference field strength. As mentioned earlier, radio interference is mainly the electromagnetic field formed in the surrounding space when high-frequency corona current flows on the transmission line. The height of the current-carrying conductor is square, and the magnetic field intensity H and the current i generated at the measuring point (as shown in Figure 3) with the height of h 1 and the horizontal coordinate of y satisfy
电场强度与磁场强度满足The electric field strength and magnetic field strength satisfy
式中:ε0为真空介电常数;μ0为空气的磁导率。In the formula: ε 0 is the vacuum permittivity; μ 0 is the magnetic permeability of air.
所以第i相导线电晕电流微元引起的无线电干扰强度为:Therefore, the radio interference intensity caused by the corona current microelement of the i-th phase wire is:
式中:iji(x)为i相导线产生的电晕电流;zj、yi分别为第j相导线的高度和水平坐标;In the formula: i ji (x) is the corona current generated by the i-phase conductor; z j and y i are the height and horizontal coordinates of the j-th phase conductor respectively;
假设整条导线均匀电晕,则测点处的无线电干扰场强按式(18)积分:Assuming that the entire wire is uniformly corona, the radio interference field strength at the measuring point is integrated according to formula (18):
利用以上模型可以计算各相导线电晕时的无线电干扰水平,按国家标准进行合成,即可得到交流线路产生的总无线电干扰。The above model can be used to calculate the radio interference level of each phase wire during corona, and synthesize it according to the national standard to obtain the total radio interference generated by the AC line.
III考虑交流影响的直流线路的无线电干扰计算III Calculation of Radio Interference of DC Lines Considering AC Influence
在步骤1中计算得出考虑交流影响下直流线路表面的最大电位梯度。The maximum potential gradient on the surface of the DC line considering the AC influence is calculated in step 1.
利用CISPR的推荐公式进行计算。Calculated using the formula recommended by CISPR.
CISPR于1982年推导出了双极直流输电线路中计算无线电干扰值的公式:In 1982, CISPR deduced the formula for calculating the radio interference value in bipolar direct current transmission lines:
Edc为所计算的直流无线电干扰值,dB。gmax为导线表面的最大电位梯度kV/cm;r为子导线半径,cm;n为分裂导线根数;D为计算点距正导线的距离,m;ΔEw为气象修正项,以海拔500m为基准,每1000m增加3.3dB;ΔEf为干扰频率修正项,ΔEf=5(1-2(lg(10f))2);f为所需计算的频率,MHz。E dc is the calculated DC radio interference value, dB. g max is the maximum potential gradient kV/cm on the surface of the conductor; r is the radius of the sub-conductor, cm; n is the number of split conductors; D is the distance between the calculation point and the positive conductor, m; As a benchmark, increase 3.3dB every 1000m; ΔE f is the interference frequency correction item, ΔE f =5(1-2(lg(10f)) 2 ); f is the frequency to be calculated, MHz.
IV混合无线电干扰的计算IV Computation of Hybrid Radio Interference
叠加交直流线路的无线电干扰。Radio interference from superimposed AC and DC lines.
分别计算出交直流线路的无线电干扰后,按如下方法合成。合成原则是尽量保证合成后的干扰值与使用CISPR标准干扰测量仪的测量值相同,即应当考虑峰值检波器的特性。因此,这里采用了几何叠加的方式进行。After calculating the radio interference of the AC and DC lines separately, they are synthesized as follows. The synthesis principle is to try to ensure that the synthesized interference value is the same as the measured value using the CISPR standard interference measuring instrument, that is, the characteristics of the peak detector should be considered. Therefore, the method of geometric superposition is adopted here.
这种方法可以认为是交直流线路产生的无线电干扰是随机的,两者关系系数为零,将交流线路和直流线路产生的同频率干扰按平方和相加得到总的干扰电平:This method can be considered that the radio interference generated by the AC and DC lines is random, and the relationship coefficient between the two is zero. The total interference level is obtained by adding the same frequency interference generated by the AC line and the DC line by the sum of squares:
以上公式的电场单位为μV/m。如果单位是dB(μV/m)可以用下式合成:The unit of the electric field in the above formula is μV/m. If the unit is dB (μV/m), it can be synthesized by the following formula:
式中,E为混合无线电干扰场强,Eac为考虑直流影响的交流线路无线电干扰场强,Edc为考虑叫支路影响的直流线路无线电干扰场强。In the formula, E is the hybrid radio interference field strength, E ac is the radio interference field strength of the AC line considering the influence of DC, and E dc is the radio interference field strength of the DC line considering the influence of the branch circuit.
步骤3、获取符合混合电场环境评价标准时的线路高度及并行间距,为目前的输电线路的改建提供参考。Step 3. Obtain the line height and parallel spacing when meeting the mixed electric field environmental evaluation standard, and provide reference for the reconstruction of the current transmission line.
具体过程为,对步骤2中改变线路高度及并行间距反复应用计算方法计算混合无线电干扰,筛选的得到较小的混合无线电干扰所对应的线路高度和线路并行间距,以达到输电线路的改建提供参考的目的。The specific process is to repeatedly apply the calculation method to calculate the mixed radio interference by changing the line height and parallel spacing in step 2, and obtain the line height and line parallel spacing corresponding to the smaller mixed radio interference, so as to provide a reference for the reconstruction of transmission lines the goal of.
如图4所示,为本发明实施例中,提供的一种高压交直流线路并行的无线电干扰计算及优化方法系统,所述系统包括:As shown in Figure 4, it is a high-voltage AC/DC line parallel radio interference calculation and optimization method system provided in an embodiment of the present invention, the system includes:
计算模型构建单元210,用于高压交直流并行线路的相关信息,并根据所述确定的相关信息构建计算模型;Calculation model construction unit 210, used for relevant information of high-voltage AC/DC parallel lines, and constructing a calculation model according to the determined relevant information;
线路高度及并行间距筛选单元220,对于输电线路的不同线路高度以及并行间距,利用无线电干扰的经验公式或激发函数法进行计算,并叠加,得到不同线路高度及并行间距对应的混合无线电干扰,并在所述得到的不同线路高度及并行间距对应的混合无线电干扰中,筛选出满足一定条件的混合无线电干扰强度及其对应的线路高度及并行间距;The line height and parallel spacing screening unit 220, for different line heights and parallel spacing of the transmission line, uses the empirical formula of radio interference or the excitation function method to calculate, and superimposes, to obtain the mixed radio interference corresponding to different line heights and parallel spacing, and In the mixed radio interference corresponding to the obtained different line heights and parallel spacings, the mixed radio interference intensity and the corresponding line heights and parallel spacings satisfying certain conditions are selected;
线路高度及并行间距修订单元230,用于获取符合混合无线电干扰环境评价标准时的线路高度及并行间距,为目前的输电线路的改建提供参考。The line height and parallel spacing revision unit 230 is used to obtain the line height and parallel spacing when meeting the mixed radio interference environment evaluation standard, so as to provide reference for the reconstruction of current transmission lines.
值得注意的是,上述系统实施例中,所包括的各个系统单元只是按照功能逻辑进行划分的,但并不局限于上述的划分,只要能够实现相应的功能即可;另外,各功能单元的具体名称也只是为了便于相互区分,并不用于限制本发明的保护范围。It is worth noting that in the above system embodiments, the system units included are only divided according to functional logic, but are not limited to the above division, as long as the corresponding functions can be realized; in addition, the specific functions of each functional unit The names are only for the convenience of distinguishing each other, and are not used to limit the protection scope of the present invention.
本领域普通技术人员可以理解实现上述实施例方法中的全部或部分步骤是可以通过程序来指令相关的硬件来完成,所述的程序可以存储于一计算机可读取存储介质中,所述的存储介质,如ROM/RAM、磁盘、光盘等。Those of ordinary skill in the art can understand that all or part of the steps in the method of the above-mentioned embodiments can be completed by instructing related hardware through a program, and the program can be stored in a computer-readable storage medium, and the storage Media such as ROM/RAM, magnetic disk, optical disk, etc.
以上这些实施例应理解为仅用于说明本发明而不用于限制本发明的保护范围。在阅读了本发明的记载的内容之后,技术人员可以对本发明作各种改动或修改,这些等效变化和修饰同样落入本发明权利要求所限定的范围。The above embodiments should be understood as only for illustrating the present invention but not for limiting the protection scope of the present invention. After reading the contents of the present invention, skilled persons can make various changes or modifications to the present invention, and these equivalent changes and modifications also fall within the scope defined by the claims of the present invention.
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