CN103018592A - Fault diagnosis method of traction transformer based on model diagnosis - Google Patents
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Abstract
本发明为基于模型诊断的牵引变压器故障诊断方法。该方法应用牵引变压器结构模型知识建立牵引变压器两层结构模型,利用电压互感器电流互感器测得实际牵引变压器运行参数,将参数输入诊断系统进行诊断。本发明同时把诊断分为了离线和在线诊断两部分,提高了诊断速度,通过一致性诊断和溯因诊断最终诊断出了故障元件以及故障类型。通过仿真结果表明,该方法能快速准确地诊断出牵引变压器绕组短路、断路、匝间接地等故障,是一种新的牵引变压器故障诊断方法。
The invention is a fault diagnosis method of a traction transformer based on model diagnosis. The method uses the knowledge of traction transformer structure model to establish a two-layer structure model of traction transformer, uses voltage transformer and current transformer to measure the actual traction transformer operating parameters, and inputs the parameters into the diagnosis system for diagnosis. The present invention divides the diagnosis into two parts of off-line diagnosis and online diagnosis at the same time, improves the diagnosis speed, and finally diagnoses the fault element and the fault type through consistency diagnosis and retrospective diagnosis. The simulation results show that the method can quickly and accurately diagnose the faults of traction transformer winding short circuit, open circuit, and indirect ground fault, and it is a new fault diagnosis method for traction transformers.
Description
技术领域technical field
本发明属于牵引供电系统故障诊断技术领域,尤其涉及一种基于模型诊断的牵引变压器故障诊断方法。The invention belongs to the technical field of fault diagnosis of a traction power supply system, in particular to a fault diagnosis method for a traction transformer based on model diagnosis.
背景技术Background technique
牵引供电系统是铁路的供电系统,一旦其某个部分发生故障造成供电中断,不仅影响所供电线路的列车的正常运行,在当前大密度大流量的铁路运输系统中,甚至可能引发连锁反应,造成多条铁路线路的运行不畅,造成重大的经济损失。作为牵引供电系统的重要组成部分,牵引变压器的安全运行直接关系到牵引供电系统的可靠稳定工作,进而关系到铁路的正常有序运行。因此,牵引变压器的正常运行是对牵引供电系统,铁路系统正常运行的重要保证。为了保证铁路运行的畅通,要求牵引变压器具有极高的运行可用性可靠性和安全性。然而,因为设备制造问题和运行环境及运行时间的问题,牵引变压器不可避免的会发生一些故障。所以,为保障牵引变压器的正常运行,就需要实时掌握牵引变压器的运行状态,当其发生微小故障运行于不正常状态时,要能及时发现并进行处理,避免故障进一步发展损坏设备造成供电中断;同时,当其发生严重故障造成供电中断时,需要尽快的查找到故障原因并尽可能的采取有效措施恢复供电,以缩短停电时间减少因停电带来的经济损失。The traction power supply system is the power supply system of the railway. Once a part of it fails and the power supply is interrupted, it will not only affect the normal operation of the trains on the power supply line, but may even trigger a chain reaction in the current high-density and high-flow railway transportation system, causing The poor operation of many railway lines caused significant economic losses. As an important part of the traction power supply system, the safe operation of the traction transformer is directly related to the reliable and stable operation of the traction power supply system, and then to the normal and orderly operation of the railway. Therefore, the normal operation of the traction transformer is an important guarantee for the normal operation of the traction power supply system and the railway system. In order to ensure the smooth operation of railways, traction transformers are required to have extremely high operational availability, reliability and safety. However, due to equipment manufacturing issues and operating environment and operating time issues, traction transformers inevitably have some failures. Therefore, in order to ensure the normal operation of the traction transformer, it is necessary to grasp the operation status of the traction transformer in real time. When a minor fault occurs and it is operating in an abnormal state, it must be discovered and dealt with in time to avoid further development of the fault and damage to the equipment and cause power interruption; At the same time, when a serious fault occurs and the power supply is interrupted, it is necessary to find out the cause of the fault as soon as possible and take effective measures to restore the power supply as much as possible, so as to shorten the power outage time and reduce the economic loss caused by the power outage.
目前牵引变压器诊断方法主要有两个方面:第一种是先观测单一的参数如温度、超声波、绝缘纸含水量等,通过分析参数变化对变压器进行诊断,但这种方法只能诊断某一方面的故障,无法进行综合诊断;第二种是人工智能的方法,如专家系统的应用,人工神经网络的应用,但专家系统经验知识获取困难,人工神经网络需要大量的样本数据,诊断系统的开发时间均较长。At present, the diagnosis method of traction transformer mainly has two aspects: the first one is to observe a single parameter such as temperature, ultrasonic wave, moisture content of insulating paper, etc., and diagnose the transformer by analyzing the change of parameters, but this method can only diagnose one aspect The second is the artificial intelligence method, such as the application of expert system and artificial neural network, but it is difficult to obtain experience knowledge of expert system, artificial neural network needs a large amount of sample data, and the development of diagnostic system The time is longer.
基于模型诊断(Model-based Diagnosis,MBD)的方法是二十世纪七十年代提出来的,MBD使用的是诊断对象原理结构及知识,没有知识的积累过程,同时系统的建模和系统的诊断推理是完全分开的两部分,具有很好的独立性和移植性。文献“刘志刚,钟炜,邓云川,曲昌军.牵引变电站故障的基于模型诊断方法.中国电机工程学报,2010,30(34):36-41”将MBD用于牵引变电站故障的诊断,但在牵引变压器本身设备诊断方面采用简单了等效元件方式,不能对牵引变压器的具体故障进行诊断,仅能诊断牵引变压器两侧电路的故障;另外,在诊断方式上仅是单层建模和直接推理的方式,并不能对牵引变压器的故障进行有效和全面诊断。为了改变牵引变压器故障诊断方面遇到的困难和弥补专家系统存在的不足,将MBD方法用于牵引变压器建模并进行变压器故障诊断具有十分重要的实际意义。The method of Model-based Diagnosis (MBD) was proposed in the 1970s. MBD uses the principle structure and knowledge of the diagnostic object without the accumulation process of knowledge. At the same time, system modeling and system diagnosis The reasoning is two parts completely separated, with good independence and portability. The literature "Liu Zhigang, Zhong Wei, Deng Yunchuan, Qu Changjun. Model-Based Diagnosis Method for Traction Substation Faults. Proceedings of the Chinese Society for Electrical Engineering, 2010, 30(34): 36-41" uses MBD for fault diagnosis of traction substations, but in The equipment diagnosis of the traction transformer adopts a simple equivalent component method, which cannot diagnose the specific faults of the traction transformer, but can only diagnose the faults of the circuits on both sides of the traction transformer; in addition, the diagnosis method is only single-layer modeling and direct reasoning However, it cannot effectively and comprehensively diagnose the faults of the traction transformer. In order to change the difficulties encountered in traction transformer fault diagnosis and make up for the deficiencies of expert systems, it is of great practical significance to use MBD method for traction transformer modeling and transformer fault diagnosis.
发明内容Contents of the invention
本发明的目的是:提供一种基于模型诊断的牵引变压器故障诊断方法,用以解决牵引变压器常规诊断方法的不足。为了实现上述目的,本发明采用的技术方案是一种基于模型诊断的牵引变压器故障诊断方法,对牵引供电系统是铁路的供电系统中关键设备牵引变压器提供实时的故障诊断。所述方法包括以下手段:The purpose of the present invention is to provide a fault diagnosis method for traction transformers based on model diagnosis to solve the shortcomings of conventional diagnosis methods for traction transformers. In order to achieve the above purpose, the technical solution adopted by the present invention is a model-based diagnosis method for traction transformer fault diagnosis, which provides real-time fault diagnosis for the traction transformer, which is the key equipment in the traction power supply system of the railway power supply system. The method includes the following means:
步骤1:根据牵引变压器结构,建立牵引变压器结构抽象模型,构建诊断系统,具体方法为:将变压器的相电压和相电流作为系统模型变量,描述各绕组的连接关系;采用分层结构抽象模型:第一层建立小元件模型,描述小元件的正常行为;第二层建立大元件模型,描述小元件的故障行为及小元件之间的故障行为;分层模型将小元件间的拓扑故障转化为大元件的内部故障,有利于故障的分析。Step 1: According to the structure of the traction transformer, establish an abstract model of the traction transformer structure and construct a diagnosis system. The specific method is: use the phase voltage and phase current of the transformer as system model variables to describe the connection relationship of each winding; adopt a layered structure abstract model: The first layer establishes a small component model to describe the normal behavior of small components; the second layer establishes a large component model to describe the fault behavior of small components and the fault behavior between small components; the layered model converts the topology fault between small components into The internal failure of large components is conducive to the analysis of failures.
步骤2:离线搜索牵引变压器抽象模型,获得诊断系统所有的解析冗余关系以及它们所关联的最小候选冲突集;Step 2: Search the abstract model of the traction transformer offline to obtain all the analytical redundant relations of the diagnostic system and their associated minimum candidate conflict sets;
步骤3:通过电压互感器和电流互感器测得牵引变压器实际的故障电压电流数据;Step 3: Measure the actual fault voltage and current data of the traction transformer through the voltage transformer and current transformer;
步骤4:由最小候选冲突集得到最小冲突集:将电流电压互感器测得的牵引变压器故障状态信息带入解析冗余关系,检验解析冗余关系是否满足;若不满足,则系统预测和实际观测值之间产生偏差,则此解析冗余关系的支撑环境即为一个最小冲突集;Step 4: Obtain the minimum conflict set from the minimum candidate conflict set: bring the fault state information of the traction transformer measured by the current and voltage transformers into the analytical redundancy relationship, and check whether the analytical redundancy relationship is satisfied; if not, the system prediction and actual If there is a deviation between the observed values, then the supporting environment for parsing the redundant relationship is a minimum conflict set;
步骤5:由所得的最小冲突集,利用人工智能领域的碰集计算方法求最小冲突集的最小碰集,得到所有最小候选诊断;Step 5: From the obtained minimum conflict set, use the collision set calculation method in the field of artificial intelligence to find the minimum collision set of the minimum conflict set, and obtain all the minimum candidate diagnoses;
步骤6:对最小候选诊断中的元件进行故障匹配,最终得到具体的故障元件及其故障类型。Step 6: Perform fault matching on the components in the minimum candidate diagnosis, and finally obtain the specific faulty components and their fault types.
由于建模的精度问题,对于正常运行观测下已有部分解析冗余关系不成立,通过设定一个允许误差值来排除精度问题造成的误判。Due to the accuracy of modeling, some of the analytical redundancy relations under normal operation observations do not hold. A permissible error value is set to eliminate misjudgments caused by accuracy issues.
在于故障匹配的过程中,利用元件故障概率大小,将候选元件的故障进行排序,优先对故障概率最大的故障模式进行故障匹配,若匹配不成功再考虑故障概率小的故障。In the process of fault matching, the faults of candidate components are sorted by using the probability of component failure, and the fault mode with the highest failure probability is prioritized for fault matching. If the matching is unsuccessful, the fault with a small failure probability is considered.
本发明的有益效果在于:The beneficial effects of the present invention are:
1、本发明用基于模型的方法,直接对牵引变压器故障进行在线诊断,满足实时性要求,得到的诊断结果客观准确。1. The present invention uses a model-based method to directly perform online diagnosis of traction transformer faults, which meets real-time requirements and obtains objective and accurate diagnosis results.
2、本发明应用的是牵引变压器的模型结构知识,克服了传统专家系统诊断方法经验知识收集困难等不足。2. The present invention applies the model structure knowledge of the traction transformer, which overcomes the shortcomings of the traditional expert system diagnosis method, such as difficulties in collecting empirical knowledge.
附图说明Description of drawings
图1实际诊断流程Figure 1 Actual Diagnosis Process
图2基于模型诊断的牵引变压器故障诊断流程图Fig. 2 Flowchart of traction transformer fault diagnosis based on model diagnosis
图3牵引变压器等效电路图Figure 3 Equivalent circuit diagram of traction transformer
具体实施方式Detailed ways
下面结合附图和具体的实施方式,对本发明作进一步详细的说明。The present invention will be described in further detail below in conjunction with the accompanying drawings and specific embodiments.
图1是对于实际牵引变压器故障诊断的流程,其具体流程如图2所示。Figure 1 is the process of fault diagnosis for the actual traction transformer, and its specific process is shown in Figure 2.
图2是基于模型诊断的牵引变压器故障诊断标准流程图。图2中,基于模型诊断的牵引变压器故障诊断方法包括:Fig. 2 is a standard flowchart of traction transformer fault diagnosis based on model diagnosis. In Fig. 2, the traction transformer fault diagnosis method based on model diagnosis includes:
步骤1:根据牵引变压器结构,建立牵引变压器结构抽象模型,得到诊断系统;Step 1: According to the structure of the traction transformer, an abstract model of the traction transformer structure is established to obtain a diagnosis system;
将变压器的相电压和相电流作为系统模型变量,描述各绕组的连接关系。采用分层结构抽象模型:第一层建立小元件模型,描述小元件的正常行为;第二层建立大元件模型,描述小元件的故障行为及小元件之间的故障行为。分层模型将小元件间的拓扑故障转化为大元件的内部故障,有利于故障的分析。该牵引变压器可以由抽象元件表示为COMPS={T1_AB,T1-BC,T1,T21_TRF1,T22TRF2,T21,T22},各个抽象元件的符号所代表的含义如表1所示。The phase voltage and phase current of the transformer are used as system model variables to describe the connection relationship of each winding. Abstract model with layered structure: the first layer establishes small component models to describe the normal behavior of small components; the second layer establishes large component models to describe the fault behavior of small components and the fault behavior between small components. The hierarchical model converts topological faults among small components into internal faults of large components, which is beneficial to fault analysis. The traction transformer can be represented by abstract components as COMPS={T1_AB, T1-BC, T1, T21_TRF1, T22TRF2, T21, T22}, and the meanings represented by the symbols of each abstract component are shown in Table 1.
表1元件组成中各符号所代表的含义Table 1 The meanings of the symbols in the component composition
图3为VX型牵引变压器单相等效电路图,为折算到一次侧的等效图,其中A、B分别表示电力线路的A相和B相,T、F、N分别表示接触网,正馈线和大地。首先对于图3所示的单相变压器有如下观测变量:{VA,VB,VAB,IA,IB,VTR,VRF,VFT,IT,IR,IF},VA,VB代表进线端AB进线端的相电压,VAB,VTR,VRF,VFT分别为各自相间的线电压,IA,IB为进线端流入变压器的电流值,IT,IR,IF为出线端流出变压器的电流值。Figure 3 is the single-phase equivalent circuit diagram of the VX traction transformer, which is the equivalent diagram converted to the primary side, where A and B represent the A-phase and B-phase of the power line respectively, and T, F and N represent the catenary and the positive feeder respectively and the earth. First of all, for the single-phase transformer shown in Figure 3, there are the following observation variables: {VA, VB, VAB, IA, IB, VTR, VRF, VFT, IT, IR, IF}, VA, VB represent the incoming line AB incoming line Phase voltage, VAB, VTR, VRF, VFT are the line voltage between the respective phases, IA, IB are the current values flowing into the transformer at the incoming terminal, IT, IR, IF are the current values flowing out of the transformer at the outgoing terminal.
则变压器正常运行时,对整个变压器的电压电流约束为:Then, when the transformer is in normal operation, the voltage and current constraints for the entire transformer are:
对于T1_AB,还有电压关系式:For T1_AB, there is also a voltage relation:
VAB=VA-VB (3)VAB=VA-VB (3)
对于T21_TRF1,还有电压关系式:For T21_TRF1, there is also a voltage relationship:
0=VTR+VRF+VFT (4)0=VTR+VRF+VFT (4)
上式(1)~(4)均为变压器正常运行时的关系模型,运用在第一层单个元件的建模中。将正常模型关系应用在基于一致性的诊断方法中判别出元件故障,但是无法确定具体的故障类型。因而在第二层大元件集合中,引入各种元件的故障类型,通过溯因诊断进行故障匹配就可以诊断出具体的元件故障类型。The above formulas (1) to (4) are the relationship models of the transformer in normal operation, and are used in the modeling of the first layer of single components. Applying the normal model relationship in the consistency-based diagnosis method identifies component failures, but the specific failure type cannot be identified. Therefore, in the second-level large component set, the fault types of various components are introduced, and the specific component fault types can be diagnosed through fault matching through abductive diagnosis.
变压器故障常见的包括相间短路、接地短路、匝间短路等,有的可以建立直接的故障模型关系式,如相间短路接地短路等。如A相接地短路时,VA=0,IA+IB≠0;AB相间短路,VAB=0,IA=IB。有的故障比如匝间短路等故障特征不明显,就无法通过建立故障模型进行溯因诊断,只能通过一致性诊断判断元件故障而不能判断出具体故障类型。Common transformer faults include phase-to-phase short-circuit, ground short-circuit, inter-turn short-circuit, etc. Some can establish direct fault model relational expressions, such as phase-to-phase short-circuit to ground short-circuit, etc. For example, when phase A is short-circuited to ground, VA=0, IA+IB≠0; if phase A is short-circuited, VAB=0, IA=IB. Some faults, such as inter-turn short circuit and other fault features, are not obvious, so it is impossible to conduct retrospective diagnosis by establishing a fault model. Only component faults can be judged through consistency diagnosis, and the specific fault type cannot be judged.
步骤2:离线搜索牵引变压器抽象模型,获得系统所有的解析冗余关系以及它们所关联的最小候选冲突集;Step 2: Search the abstract model of the traction transformer offline to obtain all the analytical redundancy relations of the system and their associated minimum candidate conflict sets;
牵引变压器的监控装置的布置都是不变的,可以通过测量装置的信息产生一些固定的只包含可观测量的解析冗余关系。采用搜索算法,对系统建立的正常模型进行离线搜索,得到解析冗余关系,进而可以求出其最小支撑环境(也即最小冲突集候选)。通过离线搜索得到牵引变压器所有解析冗余关系以及对应的最小冲突集候选一共有8个。例如:MinCSC3={{T21_TRF1},0=-IT1-IR1-IF1}即{T21_TRF1}为最小候选冲突集,其对应的解析冗余关系为“0=-IT1-IR1-IF1”。The arrangement of the monitoring devices of the traction transformer remains unchanged, and some fixed analytical redundant relations containing only observable quantities can be generated through the information of the measuring devices. Using the search algorithm, the normal model established by the system is searched offline to obtain the analytic redundancy relationship, and then its minimum support environment (that is, the minimum conflict set candidate) can be obtained. A total of 8 candidate candidates for all analytic redundancy relationships of traction transformers and corresponding minimum conflict sets are obtained through offline search. For example: MinCSC3={{T21_TRF1}, 0=-IT1-IR1-IF1}, that is, {T21_TRF1} is the minimum candidate conflict set, and its corresponding analytical redundancy relationship is "0=-IT1-IR1-IF1".
步骤3:通过电压互感器和电流互感器测得牵引变压器实际的故障电压电流数据;Step 3: Measure the actual fault voltage and current data of the traction transformer through the voltage transformer and current transformer;
系统观测装置电压互感器和电流互感器主要用于观测系统并提供系统状态信息已供诊断系统诊断,这里也不考虑电压互感器、电流互感器故障,因此假设测量装置均正常工作,所测数据是准确无误的。The voltage transformer and current transformer of the system observation device are mainly used to observe the system and provide system status information for the diagnosis of the diagnostic system. The failure of the voltage transformer and current transformer is not considered here. Therefore, assuming that the measuring devices are working normally, the measured data is accurate.
步骤4:将故障数据带入解析冗余关系中,由最小候选冲突集得到最小冲突集;Step 4: Bring the fault data into the parsing redundancy relationship, and obtain the minimum conflict set from the minimum candidate conflict set;
假设该牵引变压器在T1出线端A相接地短路并且T2二次侧RF2相间短路,因R为铁轨也即F绕组接地短路,通过仿真获得在此故障下牵引变压器电压电流互感器的测量值如表2和表3所示。Assuming that the traction transformer is short-circuited to ground at the outlet terminal of T1 and RF2 is short-circuited at the secondary side of T2, because R is the rail, that is, the F-winding is short-circuited to ground, the measured value of the voltage and current transformer of the traction transformer under this fault is obtained through simulation as Table 2 and Table 3 are shown.
表2故障情况下电压互感器的测量值Table 2 Measured values of voltage transformers under fault conditions
表3故障情况下电流互感器的测量值Table 3 Measured values of current transformers under fault conditions
将表2表3所得测量值带入到最小候选冲突集的解析冗余关系中,对所得的向量值取其幅值得到绝对残差。由于绝对残差之间比较没有可信度,引入相对残差,相对残差为绝对残差与解析冗余关系中变量最大幅值的比值。计算结果如表4所示。The measured values obtained in Table 2 and Table 3 are brought into the analytic redundancy relation of the minimum candidate conflict set, and the magnitude of the obtained vector value is taken to obtain the absolute residual. Since the comparison between the absolute residuals has no credibility, the relative residuals are introduced, which is the ratio of the absolute residuals to the maximum magnitude of the variable in the analytical redundancy relationship. The calculation results are shown in Table 4.
表4解析冗余关系的残差Table 4 Residuals for parsing redundant relations
由于建模的精度问题,对于正常运行观测下已有部分解析冗余关系不成立,通过设定一个允许误差值来排除精度问题造成的误判。这里设置允许的相对残差为0.2,则从表4中相对残差大于0.2的最小候选冲突集中得到最小冲突集MinCs={MinCSC1,MinCSC4}即MinCsC={{T1_AB},{T22_TRF2}}。Due to the accuracy of modeling, some of the analytical redundancy relations under normal operation observations do not hold, and an allowable error value is set to eliminate misjudgments caused by accuracy issues. Here, the allowable relative residual is set to 0.2, and the minimum conflict set MinCs={MinCSC1, MinCSC4}, namely MinCsC={{T1_AB}, {T22_TRF2}} is obtained from the minimum candidate conflict set with a relative residual greater than 0.2 in Table 4.
步骤5:由所得的最小冲突集,利用人工智能领域的碰集计算方法求最小冲突集的最小碰集,得到所有最小候选诊断;Step 5: From the obtained minimum conflict set, use the collision set calculation method in the field of artificial intelligence to find the minimum collision set of the minimum conflict set, and obtain all the minimum candidate diagnoses;
由最小冲突集MinCs={MinCSC1,MinCSC4}即MinCsC={{T1_AB},{T22_TRF2}},再求得最小碰集MinHs={T1_AB,T22_TRF2}From the minimum collision set MinCs={MinCSC1, MinCSC4}, namely MinCsC={{T1_AB}, {T22_TRF2}}, then obtain the minimum collision set MinHs={T1_AB, T22_TRF2}
到此,通过系统元件的正常模型和一致性推理诊断,可以得出了故障元件{T1_AB,T22_TRF2}。So far, through the normal model and consistency reasoning diagnosis of system components, the faulty components {T1_AB, T22_TRF2} can be obtained.
步骤6:对最小候选诊断中的元件进行故障匹配,最终得到具体的故障元件及其故障类型。Step 6: Perform fault matching on the components in the minimum candidate diagnosis, and finally obtain the specific faulty components and their fault types.
为了便于快速地找出故障元件的具体故障类型,可以根据实际工程数据,假设短路故障的概率为0.6,接地故障的概率为0.4,断线故障的概率为0.2。In order to quickly find out the specific fault type of the faulty component, according to the actual engineering data, it can be assumed that the probability of short-circuit fault is 0.6, the probability of ground fault is 0.4, and the probability of disconnection fault is 0.2.
在进行溯因推理对候选诊断进行匹配的过程中,按照故障概率大小,先对故障概率最大的故障模式进行故障匹配,若匹配不成功再考虑故障概率小的故障。通过前面故障概率假设,对故障元件的故障概率排序,故障概率最大的前5种如表5所示。In the process of matching candidate diagnoses by abductive reasoning, according to the magnitude of the failure probability, the failure mode with the highest failure probability is firstly matched, and if the matching is unsuccessful, then the failure with a lower failure probability is considered. Based on the previous failure probability assumptions, the failure probability of the failure components is sorted, and the top five types with the highest failure probability are shown in Table 5.
表5各种故障模式及其定性故障概率Table 5 Various failure modes and their qualitative failure probabilities
参照表5给出的各个故障模式定性概率,优先选择故障模式:{T1_AB,{groundA}},{T22_TRF2,{groundF}}进行匹配,设置最大允许残差为0.2,最终匹配成功,确定故障类型为{T1_AB,{groundA}},{T22_TRF2,{groundF}},由此可以判定T1_AB,A相接地故障,T22_TRF2,F接地,也即FR短路。Referring to the qualitative probability of each failure mode given in Table 5, the failure mode is preferentially selected: {T1_AB, {groundA}}, {T22_TRF2, {groundF}} for matching, and the maximum allowable residual is set to 0.2. Finally, the matching is successful and the failure type is determined It is {T1_AB, {groundA}}, {T22_TRF2, {groundF}}, so it can be determined that T1_AB, phase A is ground fault, and T22_TRF2, F is grounded, that is, FR is short-circuited.
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