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CN110221181B - A method for locating the short-circuit point of the faulty AT segment of a fully parallel AT traction power supply system - Google Patents

A method for locating the short-circuit point of the faulty AT segment of a fully parallel AT traction power supply system Download PDF

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CN110221181B
CN110221181B CN201910588854.9A CN201910588854A CN110221181B CN 110221181 B CN110221181 B CN 110221181B CN 201910588854 A CN201910588854 A CN 201910588854A CN 110221181 B CN110221181 B CN 110221181B
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王帅
李群湛
易东
陈民武
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Southwest Jiaotong University
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    • G01—MEASURING; TESTING
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Abstract

The invention discloses a short circuit point positioning method for a fault AT section of a full-parallel AT traction power supply system, and relates to the technical field of traction power supply of electrified railways. The head end and the tail end of an upper contact line T1 and a lower contact line T2 of the AT section of the traction net are connected in parallel; the head ends and the tail ends of an uplink negative feeder F1 and a downlink negative feeder F2 of the AT section of the traction network are connected in parallel, the two are grounded through a steel rail R, the loop equation is solved by synchronously measuring the head voltage phasor, the current phasor, the tail voltage phasor and the current phasor of the contact line of the uplink AT section and the negative feeder, and the position of a short-circuit fault point is obtained. After the distance measurement is completed, the distance measurement device reports the position of the fault point to the integrated automation and the electric regulation.

Description

一种全并联AT牵引供电系统故障AT段短路点定位方法A method for locating the short-circuit point of the faulty AT segment of a fully parallel AT traction power supply system

技术领域technical field

本发明涉及电气化铁路牵引供电技术领域。The invention relates to the technical field of electric railway traction power supply.

背景技术Background technique

截至2018年底，中国高铁营业里程达到2.9万公里以上，超过世界高铁总里程的三分之二，成为世界上高铁里程最长、运输密度最高、成网运营场景最复杂的国家。为适应高速铁路大功率列车的运行需求，高速铁路广泛采用全并联AT供电方式，其具有输送功率大、供电距离长、接触网电压损失低等优点。By the end of 2018, the operating mileage of China's high-speed rail reached more than 29,000 kilometers, exceeding two-thirds of the world's total high-speed rail mileage. In order to meet the operating requirements of high-speed railway high-power trains, high-speed railways widely use fully parallel AT power supply mode, which has the advantages of large transmission power, long power supply distance, and low catenary voltage loss.

全并联AT供电系统作为高速铁路的重要组成部分，由于其工作环境特性，规模庞大且直接暴露在自然环境中，易受到自然因素与人为因素的侵扰从而导致各种故障。同时，因为全并联AT牵引网本身的结构较复杂，故障发生时，准确的故障测距存在一定难度。As an important part of high-speed railway, the fully parallel AT power supply system is large in scale and directly exposed to the natural environment due to the characteristics of its working environment. At the same time, due to the complex structure of the fully parallel AT traction network itself, it is difficult to accurately locate the fault when a fault occurs.

在此背景下，通过对全并联AT供电系统的电气特性分布进行研究，构建新型故障测距算法具有重要的理论和现实意义，这不仅能提高继电保护的性能，而且能带来较大的经济价值和社会效益。In this context, it is of great theoretical and practical significance to construct a new fault location algorithm by studying the distribution of electrical characteristics of the fully parallel AT power supply system, which can not only improve the performance of relay protection, but also bring greater benefits. economic value and social benefit.

本发明提出全并联AT牵引供电系统故障AT段短路点定位算法，实现了全并联AT供电系统故障定位，算法考虑上下行互感对测距影响，克服了AT变压器漏抗对测距的精度影响，有效的提高故障测距的精度。The invention proposes an algorithm for locating the short-circuit point of the faulty AT section of the fully parallel AT traction power supply system, which realizes the fault location of the fully parallel AT power supply system. Effectively improve the accuracy of fault location.

发明内容SUMMARY OF THE INVENTION

本发明的目的就是提供一种全并联AT供电系统故障AT段短路点定位方法，它能有效地解决AT段中TR短路，TF短路，FR短路故障定位问题。The purpose of the present invention is to provide a method for locating the short-circuit point of the faulty AT section of a fully parallel AT power supply system, which can effectively solve the fault locating problems of TR short-circuit, TF short-circuit and FR short-circuit in the AT section.

本发明解决其技术问题，所采用的技术方案为：一种全并联AT供电系统故障AT段短路点定位方法，包括电气化铁路AT牵引网AT段，所述牵引网AT段的上行接触线T1与下行接触线T2的首端、末端均为并联；所述牵引网AT段的上行负馈线F1与下行负馈线F2的首端、末端均为并联，它们均通过钢轨R接地，设牵引网AT段长度为D，上行接触线T1与下行接触线T2的自阻抗为ZT，钢轨R的自阻抗ZR，上行负馈线F1与下行负馈线F2的自阻抗为ZF，上行接触线T1与钢轨R的互阻抗为ZT1R，上行接触线T1与上行负馈线F1的互阻抗为ZT1F1，上行接触线T1与下行接触线T2的互阻抗ZT1T2，上行接触线T1与下行负馈线F2的互阻抗ZT1F2，上行负馈线F1与下行接触线T2的互阻抗ZF1T2，上行负馈线F1与下行负馈线F2的互阻抗ZF1F2，上行负馈线F1与钢轨R的互阻抗ZF1R，下行接触线T2与下行负馈线F2的互阻抗ZT2F2，下行接触线T2与钢轨R的互阻抗ZT2R，下行负馈线F2与钢轨R的互阻抗ZF2R，由各导线自/互阻抗，得上行阻抗的平方项计算参数Z1和Z2，阻抗项计算参数Z3和Z4，下行阻抗平方项计算参数Z5和Z6，阻抗项计算参数Z7和Z8；同步测量牵引网上行AT段两端电压相量和电流相量，包括接触线T1首端电压相量UT1和首端电流相量IT1、末端电压相量UT2和末端电流相量IT2，负馈线F1首端电压相量UF1和首端电流相量IF1、末端电压相量UF2和末端电流相量IF2,同步测量牵引网下行AT段接触线T2首端电流相量IT3，末端电流相量IT4，负馈线F2首端电流相量IF3，末端电流相量IF4,根据上述定义，上行故障AT段中的短路点距离AT段首端的长度用x表示，由如下公式(1)计算：The present invention solves the technical problem and adopts the technical scheme as follows: a method for locating the short-circuit point of a faulty AT section of a fully parallel AT power supply system, including the AT section of an electrified railway AT traction network, and the upward contact line T1 of the AT section of the traction network is connected to The head end and the end of the downward contact line T2 are connected in parallel; the head end and end of the upward negative feeder F1 of the traction network AT section and the downward negative feeder F2 are connected in parallel, and they are all grounded through the rail R, and the traction network AT section is set. The length is D, the self-impedance of the ascending contact line T1 and the descending contact line T2 is Z T , the self-impedance Z R of the rail R, the self-impedance of the ascending negative feeder F1 and the descending negative feeder F2 is Z F , the ascending contact line T1 and the rail The mutual impedance of R is Z T1R , the mutual impedance of the upstream contact line T1 and the upstream negative feeder F1 is Z T1F1 , the mutual impedance of the upstream contact line T1 and the downstream contact line T2 is Z T1T2 , and the mutual impedance of the upstream contact line T1 and the downstream negative feeder F2 is Z T1T2 . Impedance Z T1F2 , the mutual impedance Z F1T2 between the upstream negative feeder F1 and the downstream contact line T2 , the mutual impedance Z F1F2 between the upstream negative feeder F1 and the downstream negative feeder F2 , the mutual impedance Z F1R between the upstream negative feeder F1 and the rail R, the downstream contact line The mutual impedance Z T2F2 between T2 and the downlink negative feeder F2, the mutual impedance Z T2R between the downlink contact line T2 and the rail R, the mutual impedance Z F2R between the downlink negative feeder F2 and the rail R, from the self/mutual impedance of each wire, the up impedance is obtained. The square term calculation parameters Z 1 and Z 2 , the impedance term calculation parameters Z 3 and Z 4 , the downstream impedance square term calculation parameters Z 5 and Z 6 , and the impedance term calculation parameters Z 7 and Z 8 ; Terminal voltage phasor and current phasor, including contact line T1 head end voltage phasor U T1 and head end current phasor I T1 , end voltage phasor U T2 and end current phasor I T2 , head end voltage phasor of negative feeder F1 U F1 and the head current phasor I F1 , the terminal voltage phasor U F2 and the terminal current phasor I F2 , synchronously measure the head current phasor I T3 and the terminal current phasor I T4 of the contact line T2 of the downlink AT segment of the traction network , the current phasor I F3 at the head end of the negative feeder F2 , and the current phasor at the end I F4 , according to the above definition, the length of the short-circuit point in the upstream fault AT section from the head end of the AT section is represented by x, which is calculated by the following formula (1):

Figure GDA0002441747260000021
Figure GDA0002441747260000021

式中：where:

Z1＝(ZF1ZR-ZF1ZT1R-ZF1R 2+ZF1RZT1F1+ZF1RZT1R-ZRZT1F1)，Z2＝(ZF1RZT1-ZF1RZT1R-ZRZT1+ZRZT1F-ZT1F1ZT1R+ZT1R 2)Z 1 = (Z F1 Z R -Z F1 Z T1R -Z F1R 2 +Z F1R Z T1F1 +Z F1R Z T1R -Z R Z T1F1 ), Z 2 = (Z F1R Z T1 -Z F1R Z T1R -Z R Z T1 +Z R Z T1F -Z T1F1 Z T1R +Z T1R 2 )

Z3＝(ZR-ZF1R)，Z4＝(ZR-ZT1R)；Z 3 =(Z R -Z F1R ), Z 4 =(Z R -Z T1R );

下行故障AT段中的短路点距离AT段首端的长度用y表示，由如下公式(2)计算：The length of the short-circuit point in the downlink fault AT segment from the head end of the AT segment is represented by y, and is calculated by the following formula (2):

Figure GDA0002441747260000022
Figure GDA0002441747260000022

式中：where:

Z5＝(ZF2ZR-ZF2ZT2R-ZF2R 2+ZF2RZT2F2+ZF2RZT2R-ZRZT2F2)，Z6＝(ZF2RZT2-ZF2RZT2R-ZRZT2+ZRZT2F-ZT2F2ZT2R+ZT2R 2)Z 5 = (Z F2 Z R -Z F2 Z T2R -Z F2R 2 +Z F2R Z T2F2 +Z F2R Z T2R -Z R Z T2F2 ), Z 6 = (Z F2R Z T2 -Z F2R Z T2R -Z R Z T2 +Z R Z T2F -Z T2F2 Z T2R +Z T2R 2 )

Z7＝(ZR-ZF2R)，Z8＝(ZR-ZT2R)；Z 7 =(Z R -Z F2R ), Z 8 =(Z R -Z T2R );

式中：AT段长度D、上行短路点位置x和下行短路点位置y的单位均为km，各类阻抗Z单位均为Ohm/km；接触线T1首端电压相量UT1和末端电压相量UT2，负馈线F1首端电压相量UF1和末端电压相量UF2的单位均为V，各接触线和负馈线首端电流相量IT1、IF1、IT3、IF3和各接触线和负馈线末端电流相量IT2、IF2、IT4、IF4的单位均为A。In the formula: the unit of the length D of the AT section, the position of the upstream short-circuit point x and the position of the downstream short-circuit point y are km, and the unit of all kinds of impedance Z is Ohm/km; Quantity U T2 , the unit of the head-end voltage phasor U F1 of the negative feeder F1 and the terminal voltage phasor U F2 is V, and the head-end current phasors I T1 , I F1 , I T3 , I F3 and The units of current phasors I T2 , I F2 , I T4 , and I F4 at the end of each contact line and negative feeder are all A.

本发明的工作原理是：The working principle of the present invention is:

设牵引网AT段长度为D，上行接触线T1与下行接触线T2的自阻抗为ZT，钢轨R的自阻抗ZR，上行负馈线F1与下行负馈线F2的自阻抗为ZF，上行接触线T1与钢轨R的互阻抗为ZT1R，上行接触线T1与上行负馈线F1的互阻抗为ZT1F1，上行接触线T1与下行接触线T2的互阻抗ZT1T2，上行接触线T1与下行负馈线F2的互阻抗ZT1F2，上行负馈线F1与下行接触线T2的互阻抗ZF1T2，上行负馈线F1与下行负馈线F2的互阻抗ZF1F2，上行负馈线F1与钢轨R的互阻抗ZF1R，下行接触线T2与下行负馈线F2的互阻抗ZT2F2，下行接触线T2与钢轨R的互阻抗ZT2R，下行负馈线F2与钢轨R的互阻抗ZF2R，由各导线自/互阻抗，得上行阻抗的平方项计算参数Z1和Z2，阻抗项计算参数Z3和Z4，下行阻抗平方项计算参数Z5和Z6，阻抗项计算参数Z7和Z8；同步测量牵引网上行AT段两端电压相量和电流相量，包括接触线T1首端电压相量UT1和首端电流相量IT1、末端电压相量UT2和末端电流相量IT2，负馈线F1首端电压相量UF1和首端电流相量IF1、末端电压相量UF2和末端电流相量IF2,同步测量牵引网下行AT段接触线T2首端电流相量IT3，末端电流相量IT4，负馈线F2首端电流相量IF3，末端电流相量IF4,其特征在于：假设上行故障AT段中的短路点距离AT段首端的长度用x表示，由公式(1)计算，下行故障AT段中的短路点距离AT段首端的长度用y表示，由公式(2)计算；所有电流、电压需用基波相量，电流、电压互感器极性需与图中标向要求一致。Suppose the length of the traction network AT segment is D, the self-impedance of the upward contact line T1 and the downward contact line T2 is Z T , the self-impedance of the rail R is Z R , the self-impedance of the upward negative feeder F1 and the downward negative feeder F2 is Z F , and the upward self-impedance is Z F . The mutual impedance between the contact line T1 and the rail R is Z T1R , the mutual impedance between the upstream contact line T1 and the upstream negative feeder F1 is Z T1F1 , the mutual impedance Z T1T2 between the upstream contact line T1 and the downstream contact line T2 , the upstream contact line T1 and the downstream contact line T1 The mutual impedance Z T1F2 of the negative feeder F2, the mutual impedance Z F1T2 of the upward negative feeder F1 and the downward contact line T2, the mutual impedance Z F1F2 of the upward negative feeder F1 and the downward negative feeder F2, the mutual impedance Z of the upward negative feeder F1 and the rail R F1R , the mutual impedance Z T2F2 between the downlink contact line T2 and the downlink negative feeder F2, the mutual impedance Z T2R between the downlink contact line T2 and the rail R, the mutual impedance Z F2R between the downlink negative feeder F2 and the rail R, by the self/mutual impedance of each wire , get the calculation parameters Z 1 and Z 2 for the square term of the upstream impedance, Z 3 and Z 4 for the calculation of the impedance term, Z 5 and Z 6 for the calculation of the square term of the downstream impedance, and Z 7 and Z 8 for the calculation of the impedance term; The voltage phasors and current phasors at both ends of the AT segment of the network, including the head-end voltage phasor U T1 and the head-end current phasor I T1 of the contact line T1, the end voltage phasor U T2 and the end current phasor I T2 , the negative feeder F1 head-end voltage phasor U F1 and head-end current phasor I F1 , end voltage phasor U F2 and end current phasor I F2 , synchronously measure the head-end current phasor I T3 of the contact line T2 of the downlink AT section of the traction network, and the end The current phasor I T4 , the current phasor I F3 at the head end of the negative feeder F2 , and the current phasor I F4 at the end are characterized in that: it is assumed that the length of the short-circuit point in the upstream fault AT section from the head end of the AT section is represented by x, which is represented by the formula ( 1) Calculation, the length of the short-circuit point in the downlink fault AT segment from the head end of the AT segment is represented by y, which is calculated by formula (2); all currents and voltages need to use the fundamental wave phasor, and the polarities of the current and voltage transformers need to be the same as those shown in Fig. The winning bid is consistent with the requirements.

与现有技术相比，本发明技术的有益效果是：Compared with the prior art, the beneficial effects of the technology of the present invention are:

一、精确定位故障AT段中的短路位置，上报给综自和电调，及时维护，缩短停电时间，有力保障铁路的安全运行。1. Accurately locate the short-circuit position in the faulty AT section, report it to the integrated self-control and ESC, maintain it in time, shorten the power outage time, and effectively ensure the safe operation of the railway.

二、短路故障位置的标定及其精度不受故障类型与AT变压器漏抗影响，且考虑了上下行导线之间的互感参数，提高测距精度。2. The calibration and accuracy of the short-circuit fault location are not affected by the fault type and the leakage reactance of the AT transformer, and the mutual inductance parameters between the upstream and downstream conductors are considered to improve the ranging accuracy.

三、算法通用性好，便于工程实践。Third, the algorithm has good versatility and is convenient for engineering practice.

附图说明Description of drawings

图1是本发明实施例的上行TR短路故障情形示意图。FIG. 1 is a schematic diagram of an uplink TR short-circuit fault situation according to an embodiment of the present invention.

图2是本发明实施例的上行FR短路故障情形示意图。FIG. 2 is a schematic diagram of an uplink FR short-circuit fault situation according to an embodiment of the present invention.

图3是本发明实施例的上行TF短路故障情形示意图。FIG. 3 is a schematic diagram of an uplink TF short-circuit fault situation according to an embodiment of the present invention.

图4是本发明实施例的下行TR短路故障情形示意图。FIG. 4 is a schematic diagram of a downlink TR short-circuit fault situation according to an embodiment of the present invention.

图5是本发明实施例的下行FR短路故障情形示意图。FIG. 5 is a schematic diagram of a downlink FR short-circuit fault situation according to an embodiment of the present invention.

图6是本发明实施例的下行TF短路故障情形示意图。FIG. 6 is a schematic diagram of a downlink TF short-circuit fault situation according to an embodiment of the present invention.

具体实施方式Detailed ways

实施例一Example 1

如图1所示，本发明实施例一种全并联AT供电系统上行TR短路故障AT段短路点定位算法，设上行AT段首端xkm处发生负馈线T和钢轨R的TR短路,接触线T对钢轨R电压相量为Ud，钢轨左侧的电流相量为I1,钢轨右侧的电流相量为I2,同样，同步测量牵引网AT段两端电压相量和电流相量，包括上行接触线T1首端电压相量UT1(V)和首端电流相量IT1(A)、末端电压相量UT2(V)和末端电流相量IT2(A)，上行负馈线F1首端电压相量UF1(V)和首端电流相量IF1(A)、末端电压相量UF2(V)和末端电流相量IF2(A)，下行接触线T2首端电流相量IT3(A)，末端电流相量IT4(A)，负馈线F2首端电流相量IF3(A)，末端电流相量IF4(A)，列写回路方程，得到如下公式(1)，求解得短路故障位置xkm。As shown in FIG. 1, an embodiment of the present invention is an algorithm for locating the short-circuit point of the AT section of the upstream TR short-circuit fault in a fully parallel AT power supply system. It is assumed that the TR short-circuit between the negative feeder T and the rail R occurs at the head end xkm of the upstream AT section, and the contact line T For the rail R, the voltage phasor is U d , the current phasor on the left side of the rail is I 1 , and the current phasor on the right side of the rail is I 2 . Similarly, measure the voltage phasor and current phasor at both ends of the AT section of the traction network synchronously, Including the head-end voltage phasor U T1 (V) and head-end current phasor I T1 (A) of the upstream contact line T1, the end voltage phasor U T2 (V) and the end current phasor I T2 (A), the upstream negative feeder F1 head-end voltage phasor U F1 (V) and head-end current phasor I F1 (A), end-end voltage phasor U F2 (V) and end-end current phasor I F2 (A), head-end current of descending contact line T2 Phasor I T3 (A), terminal current phasor I T4 (A), negative feeder F2 head current phasor I F3 (A), terminal current phasor I F4 (A), write the loop equation, get the following formula (1), solve the short-circuit fault location xkm.

Figure GDA0002441747260000031
Figure GDA0002441747260000031

实施例二Embodiment 2

如图2所示，本发明实施例一种全并联AT供电系统上行FR短路故障AT段短路点定位算法，设上行AT段首端x km处发生负馈线F和钢轨R的FR短路,设该处负馈线F对钢轨R电压相量为Uk，钢轨左侧的电流相量为

Figure GDA0002441747260000032
钢轨右侧的电流相量为
Figure GDA0002441747260000033
同样，同步测量牵引网AT段两端电压相量和电流相量，包括上行接触线T1首端电压相量UT1(V)和首端电流相量IT1(A)、末端电压相量UT2(V)和末端电流相量IT2(A)，上行负馈线F1首端电压相量UF1(V)和首端电流相量IF1(A)、末端电压相量UF2(V)和末端电流相量IF2(A)，下行接触线T2首端电流相量IT3(A)，末端电流相量IT4(A)，负馈线F2首端电流相量IF3(A)，末端电流相量IF4(A)，列写回路方程，得到公式(1)，求解得短路故障位置xkm。As shown in Figure 2, an embodiment of the present invention provides an algorithm for locating the short-circuit point of the upstream FR short-circuit fault in the AT section of a fully parallel AT power supply system. It is assumed that the FR short-circuit between the negative feeder F and the rail R occurs at the head end x km of the upstream AT section. The voltage phasor of the negative feeder F to the rail R is U k , and the current phasor on the left side of the rail is
Figure GDA0002441747260000032
The current phasor on the right side of the rail is
Figure GDA0002441747260000033
Similarly, measure the voltage phasor and current phasor at both ends of the traction network AT segment synchronously, including the head-end voltage phasor U T1 (V) of the upstream contact line T1, the head-end current phasor I T1 (A), and the end voltage phasor U T2 (V) and terminal current phasor I T2 (A), upstream negative feeder F1 head-end voltage phasor U F1 (V) and head-end current phasor I F1 (A), terminal voltage phasor U F2 (V) and the terminal current phasor I F2 (A), the head current phasor I T3 (A) of the downward contact line T2, the terminal current phasor I T4 (A), the head current phasor I F3 (A) of the negative feeder F2, The terminal current phasor I F4 (A), write the loop equation, obtain the formula (1), and solve the short-circuit fault position xkm.

实施例三Embodiment 3

如图3所示，本发明实施例一种全并联AT供电系统上行TF短路故障AT段短路点定位算法，设上行AT段首端x km处发生负馈线F和接触线T的TF短路,设该处负馈线T对接触线F电压相量为Un，钢轨左侧的电流相量为

Figure GDA0002441747260000041
钢轨右侧的电流相量为
Figure GDA0002441747260000042
同样，同步测量牵引网AT段两端电压相量和电流相量，包括上行接触线T1首端电压相量UT1(V)和首端电流相量IT1(A)、末端电压相量UT2(V)和末端电流相量IT2(A)，上行负馈线F1首端电压相量UF1(V)和首端电流相量IF1(A)、末端电压相量UF2(V)和末端电流相量IF2(A)，下行接触线T2首端电流相量IT3(A)，末端电流相量IT4(A)，负馈线F2首端电流相量IF3(A)，末端电流相量IF4(A)，列写回路方程，得到公式(1)，求解得短路故障位置xkm。As shown in FIG. 3 , an algorithm for locating the short-circuit point of the upstream TF short-circuit fault in the AT section of a fully parallel AT power supply system according to an embodiment of the present invention, assume that a TF short-circuit between the negative feeder F and the contact line T occurs at the head end x km of the upstream AT section, and set The voltage phasor of the negative feeder T to the contact line F is U n , and the current phasor on the left side of the rail is
Figure GDA0002441747260000041
The current phasor on the right side of the rail is
Figure GDA0002441747260000042
Similarly, measure the voltage phasor and current phasor at both ends of the traction network AT segment synchronously, including the head-end voltage phasor U T1 (V) of the upstream contact line T1, the head-end current phasor I T1 (A), and the end voltage phasor U T2 (V) and terminal current phasor I T2 (A), upstream negative feeder F1 head-end voltage phasor U F1 (V) and head-end current phasor I F1 (A), terminal voltage phasor U F2 (V) and the terminal current phasor I F2 (A), the head current phasor I T3 (A) of the downward contact line T2, the terminal current phasor I T4 (A), the head current phasor I F3 (A) of the negative feeder F2, The terminal current phasor I F4 (A), write the loop equation, obtain the formula (1), and solve the short-circuit fault position xkm.

实施例四Embodiment 4

如图4所示，本发明实施例一种全并联AT供电系统下行TR短路故障AT段短路点定位算法，设下行AT段首端y km处发生负馈线T和钢轨R的TR短路,接触线T对钢轨R电压相量为Ud，钢轨左侧的电流相量为

Figure GDA0002441747260000043
钢轨右侧的电流相量为
Figure GDA0002441747260000044
同样，同步测量牵引网AT段两端电压相量和电流相量，包括上行接触线T1首端电压相量UT1(V)和首端电流相量IT1(A)、末端电压相量UT2(V)和末端电流相量IT2(A)，上行负馈线F1首端电压相量UF1(V)和首端电流相量IF1(A)、末端电压相量UF2(V)和末端电流相量IF2(A)，下行接触线T2首端电流相量IT3(A)，末端电流相量IT4(A)，负馈线F2首端电流相量IF3(A)，末端电流相量IF4(A)，列写回路方程，得到公式(2)，求解得短路故障位置y km。As shown in FIG. 4, an embodiment of the present invention is an algorithm for locating the short-circuit point of the downlink TR short-circuit fault in the AT section of a fully parallel AT power supply system. It is assumed that a TR short-circuit between the negative feeder T and the rail R occurs at the head end y km of the downlink AT section, and the contact line The voltage phasor of T to rail R is U d , and the current phasor on the left side of the rail is
Figure GDA0002441747260000043
The current phasor on the right side of the rail is
Figure GDA0002441747260000044
Similarly, measure the voltage phasor and current phasor at both ends of the traction network AT segment synchronously, including the head-end voltage phasor U T1 (V) of the upstream contact line T1, the head-end current phasor I T1 (A), and the end voltage phasor U T2 (V) and terminal current phasor I T2 (A), upstream negative feeder F1 head-end voltage phasor U F1 (V) and head-end current phasor I F1 (A), terminal voltage phasor U F2 (V) and the terminal current phasor I F2 (A), the head current phasor I T3 (A) of the downward contact line T2, the terminal current phasor I T4 (A), the head current phasor I F3 (A) of the negative feeder F2, The terminal current phasor I F4 (A), write the loop equation, obtain the formula (2), and solve the short-circuit fault location y km.

Figure GDA0002441747260000045
Figure GDA0002441747260000045

实施例五Embodiment 5

如图5所示，本发明实施例一种全并联AT供电系统下行FR短路故障AT段短路点定位算法，设上行AT段首端y km处发生负馈线F和钢轨R的FR短路,设该处负馈线F对钢轨R电压相量为Uk,钢轨左侧的电流相量为

Figure GDA0002441747260000046
钢轨右侧的电流相量为
Figure GDA0002441747260000047
同样，同步测量牵引网AT段两端电压相量和电流相量，包括上行接触线T1首端电压相量UT1(V)和首端电流相量IT1(A)、末端电压相量UT2(V)和末端电流相量IT2(A)，上行负馈线F1首端电压相量UF1(V)和首端电流相量IF1(A)、末端电压相量UF2(V)和末端电流相量IF2(A)，下行接触线T2首端电流相量IT3(A)，末端电流相量IT4(A)，负馈线F2首端电流相量IF3(A)，末端电流相量IF4(A)，列写回路方程，得到公式(2)，求解得短路故障位置y km。As shown in FIG. 5 , an embodiment of the present invention is an algorithm for locating the short-circuit point of the downlink FR short-circuit fault in the AT section of a fully parallel AT power supply system. It is assumed that the FR short-circuit between the negative feeder F and the rail R occurs at the head end y km of the upstream AT section, and the The voltage phasor of the negative feeder F to the rail R is U k , and the current phasor on the left side of the rail is
Figure GDA0002441747260000046
The current phasor on the right side of the rail is
Figure GDA0002441747260000047
Similarly, measure the voltage phasor and current phasor at both ends of the traction network AT segment synchronously, including the head-end voltage phasor U T1 (V) of the upstream contact line T1, the head-end current phasor I T1 (A), and the end voltage phasor U T2 (V) and terminal current phasor I T2 (A), upstream negative feeder F1 head-end voltage phasor U F1 (V) and head-end current phasor I F1 (A), terminal voltage phasor U F2 (V) and the terminal current phasor I F2 (A), the head current phasor I T3 (A) of the downward contact line T2, the terminal current phasor I T4 (A), the head current phasor I F3 (A) of the negative feeder F2, The terminal current phasor I F4 (A), write the loop equation, obtain the formula (2), and solve the short-circuit fault location y km.

实施例六Embodiment 6

如图6所示，本发明实施例一种全并联AT供电系统下行TF短路故障AT段短路点定位算法，设上行AT段首端y km处发生负馈线F和接触线T的TF短路,设该处负馈线T对接触线F电压相量为Un，钢轨左侧的电流相量为

Figure GDA0002441747260000048
钢轨右侧的电流相量为
Figure GDA0002441747260000049
同样，同步测量牵引网AT段两端电压相量和电流相量，包括上行接触线T1首端电压相量UT1(V)和首端电流相量IT1(A)、末端电压相量UT2(V)和末端电流相量IT2(A)，上行负馈线F1首端电压相量UF1(V)和首端电流相量IF1(A)、末端电压相量UF2(V)和末端电流相量IF2(A)，下行接触线T2首端电流相量IT3(A)，末端电流相量IT4(A)，负馈线F2首端电流相量IF3(A)，末端电流相量IF4(A)，列写回路方程，得到公式(2)，求解得短路故障位置y km。As shown in FIG. 6 , in a fully parallel AT power supply system downlink TF short-circuit fault AT segment short-circuit point location algorithm according to an embodiment of the present invention, it is assumed that a TF short-circuit between the negative feeder F and the contact line T occurs at the head end y km of the upstream AT section, and set The voltage phasor of the negative feeder T to the contact line F is U n , and the current phasor on the left side of the rail is
Figure GDA0002441747260000048
The current phasor on the right side of the rail is
Figure GDA0002441747260000049
Similarly, measure the voltage phasor and current phasor at both ends of the traction network AT segment synchronously, including the head-end voltage phasor U T1 (V) of the upstream contact line T1, the head-end current phasor I T1 (A), and the end voltage phasor U T2 (V) and terminal current phasor I T2 (A), upstream negative feeder F1 head-end voltage phasor U F1 (V) and head-end current phasor I F1 (A), terminal voltage phasor U F2 (V) and the terminal current phasor I F2 (A), the head current phasor I T3 (A) of the downward contact line T2, the terminal current phasor I T4 (A), the head current phasor I F3 (A) of the negative feeder F2, The terminal current phasor I F4 (A), write the loop equation, obtain the formula (2), and solve the short-circuit fault location y km.

Claims (1)

1. A method for positioning a short-circuit point of a fault AT section of a full-parallel AT power supply system comprises an AT traction network AT section of an electrified railway, wherein an uplink contact line T1 of the AT traction network AT section is connected in parallel with the head end and the tail end of a downlink contact line T2; the up negative feed line F1 and the down negative feed line of the AT section of the traction networkThe head end and the tail end of the line F2 are both connected in parallel, the head end and the tail end are both grounded through a steel rail R, the length of an AT segment of the traction network is set to be D, and the self-impedance of the ascending contact line T1 and the descending contact line T2 is set to be ZTSelf-impedance Z of rail RRThe self-impedance of the uplink negative feed line F1 and the downlink negative feed line F2 is ZFThe mutual impedance of the upward contact line T1 and the rail R is ZT1RThe upper contact line T1 and the upper negative feed line F1 have a mutual impedance ZT1F1The mutual impedance Z of the upper contact line T1 and the lower contact line T2T1T2The mutual impedance Z of the upper contact line T1 and the lower negative feed line F2T1F2The mutual impedance Z of the upper negative feed line F1 and the lower contact line T2F1T2The mutual impedance Z of the uplink negative feed line F1 and the downlink negative feed line F2F1F2Mutual impedance Z of the ascending negative feeder F1 and the steel rail RF1RMutual impedance Z of lower contact line T2 and lower negative feed line F2T2F2Mutual impedance Z of lower contact line T2 and rail RT2RMutual impedance Z of descending negative feeder F2 and steel rail RF2RCalculating the parameter Z by the square term of the up impedance from the self/mutual impedance of each wire1And Z2Calculating the parameter Z of the impedance term3And Z4Calculation of the parameter Z for the squared term of the downstream impedance5And Z6Calculating the parameter Z of the impedance term7And Z8(ii) a Synchronously measuring two-end voltage phasor and current phasor of AT section on traction network, including head-end voltage phasor U of contact wire T1T1And head end current phasor IT1Terminal voltage phasor UT2And terminal current phasor IT2Negative feed line F1 head voltage phasor UF1And head end current phasor IF1Terminal voltage phasor UF2And terminal current phasor IF2Synchronous measurement of current phasor I AT head end of contact line T2 in descending AT section of traction networkT3End of current phasor IT4Negative feed line F2 head end current phasor IF3End of current phasor IF4The method is characterized in that: according to the above definition, the length of the short-circuit point in the up-fault AT section from the head end of the AT section is represented by x, and is calculated by the following formula (1):
Figure FDA0002399398530000011
in the formula:
Z1＝(ZF1ZR-ZF1ZT1R-ZF1R 2+ZF1RZT1F1+ZF1RZT1R-ZRZT1F1)，Z2＝(ZF1RZT1-ZF1RZT1R-ZRZT1+ZRZT1F-ZT1F1ZT1R+ZT1R 2)
Z3＝(ZR-ZF1R)，Z4＝(ZR-ZT1R)；
the length from the short-circuit point in the downlink fault AT section to the head end of the AT section is represented by y and is calculated by the following formula (2):
Figure FDA0002399398530000012
in the formula:
Z5＝(ZF2ZR-ZF2ZT2R-ZF2R 2+ZF2RZT2F2+ZF2RZT2R-ZRZT2F2)，Z6＝(ZF2RZT2-ZF2RZT2R-ZRZT2+ZRZT2F-ZT2F2ZT2R+ZT2R 2)
Z7＝(ZR-ZF2R)，Z8＝(ZR-ZT2R)；
in the formula: the units of the AT section length D, the position x of the uplink short-circuit point and the position y of the downlink short-circuit point are km, and the units of various impedances Z are Ohm/km; initial voltage phasor U of contact line T1T1And terminal voltage phasor UT2Negative feed line F1 head voltage phasor UF1And terminal voltage phasor UF2The unit of (A) is V, and the current phasor I of each contact line and the head end of the negative feeder lineT1、IF1、IT3、IF3And the current phasors I of each contact line and negative feeder terminalT2、IF2、IT4、IF4The units of (A) are all A.
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