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ORIGINAL RESEARCH article

Front. Energy Res., 02 September 2022
Sec. Smart Grids
This article is part of the Research Topic Control, Operation and Trading Strategies of Intermittent Renewable Energy in Smart Grids View all 46 articles

A method of single-phase grounding fault line selection based on optimization spiking neural P systems

Junyang Tian
Junyang Tian1*Liandian JiangLiandian Jiang1Haiyong LiHaiyong Li1Hongbo WeiHongbo Wei1Ying LiuYing Liu2
  • 1Guangxi Power Grid Dispatching Control Center, Nanning, China
  • 2Department of Information and Electromechanical Engineering, Guangxi Vocational University of Agricultural Technical, Nanning, China

It is important to select the fault line rapidly when single-phase grounding fault occurs in the small current grounding system. The fault information acquisition of existing methods generally need hardware modification, so the high cost makes it difficult to apply to the power grid in underdeveloped areas. Taking that into consideration, this paper proposed a method of steady-state information small current grounding fault line selection based on Optimization Spiking Neural P Systems (OSNPS). The method only needs the steady-state voltage and current data of the dispatch side to effectively identify the fault line, which greatly improves the range of application. According to the characteristics of power dispatching big data, the objective function is established and the normalized model parameters are optimized by OSNPS to improve the accuracy of fault line selection stably. Furthermore, PSCAD/EMTDC is used to simulate the small current grounding system, the main factors affecting the accuracy of fault line selection are analyzed and the relationship between fault information features and fault identification accuracy is revealed. What’s more, It is pointed out that the model parameters without optimization may have line selection failure. Finally, specific examples are given to verify that the model parameters optimized by OSNPS can effectively improve the accuracy of fault line selection.

1 Introduction

Fault line selection of small current grounding system has been a hot issue in the power system. The accuracy of fault line selection is important to ensure the safe and reliable working of the power system (Guo and Wu, 2010; Guo et al., 2015; Jun et al., 2019). Depending on the source of fault information and the differences of deployment way, the existing methods of fault line selection can be generally divided into two categories: plant side and dispatch master side.

There are many ways to obtain fault information at the plant side, which can be roughly divided into three categories according to the types of fault signal: injected signal method, transient signal method and steady-state signal method. Injection signal method is to inject a specific disturbance signal into the system after a fault occurs and to select the fault line by comparing the distribution characteristics of the injected signal in each feeder (Zhu et al., 2011; Liu and Deng, 2019; Niu et al., 2021). Transient signal method is to record the signals of voltage and current at the moment of the fault occurring by a high-speed data acquisition device. Intelligent algorithms such as wavelet packet, Hilbert transform and differential filtering have been used to extract transient features components and select fault line by comparing transient feature signals (Xue et al., 2014; Lai et al., 2015; Zhang et al., 2016; Sun et al., 2017; Xu et al., 2018; Zhang et al., 2018). Although these two types of methods can effectively improve the accuracy of fault line selection, both require the installation of additional hardware in the distribution network, which is more economically expensive and difficult to implement, so they are not widely used. The third method mainly uses various steady-state characteristics of zero sequence currents (Guo-biao et al., 1995; Wang et al., 2014; Liu and Ma, 2015; Zhang et al., 2015). However, in economically underdeveloped regions, the construction method is widely used to install only two-phase current transformers at the feeder, without zero sequence current transformers. This method also faces the problems of high cost and difficulty in large-scale implementation.

Since the information at the dispatch side is affected by differences in data transmission, storage and processing capabilities, there are relatively few existing analyses of fault line selection methods based on data at the dispatch side. The literature (Zhu, 2019) proposed a fault line selection method for steady-state zero sequence current based on SCADA system. However, in the current practice, the actual zero sequence current sampling coverage rate is less than 50% in a large number of economically underdeveloped areas, so it is necessary to improve the zero sequence loop of each branch, resulting in high investment and operation and maintenance costs. In the literature (Xu et al., 2021), a dispatching side selection strategy based on the fusion of reactive power and current variation is proposed, but its fusion operator is simply half of each without effective optimization. At present, with the continuous development of smart grid, the demand of using SCADA system to realize the detection of small current single-phase grounding fault is increasing. The large amount of data in the system can achieve this purpose after processing. The processing of a large number of steady-state information requires the establishment of a relevant mathematical model, and the selection of the relevant parameters in the mathematical model is found to have a significant impact on the accuracy of the established mathematical model through data analysis (Chen and Wang, 2021), thus it is also crucial to find the most optimal parameters through optimization algorithms.

Membrane computing (MC) (Pan et al., 2019; Leporati et al., 2020; Zhang, 2021), a new branch of natural computing, has developed into an important research direction in the past decades. MC (the models are called P systems), initiated by Prof. Pǎun (P˘aun, 2000), abstracts computing models inspired from the structure and the functioning of the biological cells, organs and colonies of bacteria. In February 2003, MC was considered as an “emerging research front in computer science” by Institute for Scientific Information (ISI). Parallelism (multiple neurons of P systems work in parallel) is one of the most basic and typical features, and is often used to improve computational efficiency (Alhazov, 2010). At present, there are various types of membrane systems in terms of their membrane structures: cell-like P systems (Pan et al., 2020; Orellana-Mart´ın et al., 2019; Song et al., 2021), tissue-like P systems (Freund et al., 2005; Song et al., 2017; Valencia-Cabrera and Song, 2020; Ceterchi et al., 2021), neural-like P systems (Jiang et al., 2019; Ren et al., 2019; Lv et al., 2021; Zhang and Mario, 2021; Dong et al., 2022a; Zhang et al., 2022), and so on. These membrane computing models not only stay in the theoretical research, but also are used to solve various real-life application problems like medical image processing (Hu et al., 2020; Li et al., 2020; Xue et al., 2021), robot control (Wang et al., 2020; Wang et al., 2021), fault diagnosis (Wang et al., 2015; Rong et al., 2019; Zhang X. et al., 2021a), and other real-world problems (Zhang et al., 2017). Spiking neural P (SN P) systems (Ionescu et al., 2006; Pan et al., 2017; Zhang G. et al., 2021b; Wu and Jiang, 2021), extended neural P systems, transmits spikes to other connected neurons through synapses.

Optimization Spiking Neural P Systems (OSNPS), as a type of spiking neural membrane system, is capable of generating complete binary sequences (Zhang et al., 2014; Zhu et al., 2020; Rong et al., 2022), which means that this membrane system is theoretically capable of representing real number parameters within arbitrary constraints. Therefore, OSNPS is highly suitable for solving parametric optimization problems (Deng et al., 2022). In addition, the study of OSNPS not only refines the membrane system itself, but also provides ideas for exploring new methods of power system fault diagnosis.

In this paper, due to the data characteristics of neutral ungrounded system stored in the power dispatch system and the advantages of OSNPS, the simulation modeling of PSCAD/EMTDC is performed for the neutral ungrounded system of 10 kV distribution network, and the data of steady-state current and reactive power in the ungrounded system are collected. Secondly, the objective function is established and the function is optimized by OSNPS. The practice of this method proves that it can obviously improve the speed and accuracy of fault line selection.

2 Principle analysis of neutral ungrounded system

The simplest equivalent network for a system with ungrounded neutral points of both power source and load is shown in Figure 1.

FIGURE 1
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FIGURE 1. Distribution of capacitive current in single-phase to ground fault with neutral ungrounded.

In normal operation, the same capacitance C0 exists between the three phases, and under the action of phase voltage, each phase has a capacitive current flowing into the ground which is 90° aheading of the phase voltage, while the sum of the capacitive currents of the three phases is zero.

When the single-phase grounding fault occurs, the zero sequence current in the normal line is the capacitive current of line I itself, and the direction of capacitive reactive power flows from the busbar to the line. When there are multiple lines in the distribution network, the conclusion applies to each non-faulty line.

At the power source G, there are B-phase and C-phase to ground capacitive current, named IBG and ICG. Since G is also a power source for other capacitive currents, the entire capacitive current flowing from the fault point should flow to A-phase, while the capacitive current to ground in the same name phase of each line should flow from B-phase and C-phase. At this time, the zero sequence current at the outlet of the power G line is still the sum of the three phase currents. Since the capacitive current of each line flows in from phase A and then out from phase B and C, respectively, the zero-sequence current is the capacitive current of the power supply itself, and the capacitive reactive power is flowing from the bus to the power supply.

At the faulty line II, phases B and C flow through their own capacitive currents, named IB2 and IC2. In addition, the sum of the B-phase and C-phase ground capacitance currents of the entire system will also flow through the fault point. The value is:

If=(IB1+IC1)+(IB2+IC2)+(IBG+ICG)(1)

The current effective value is:

If=3Uφω(C01+C02+C0G)=3UφωC0Σ(2)

Where, C0Σ is the sum of the capacitance currents of per pair of ground in the whole system.

The zero sequence current flowing at the beginning of line II is:

3I02=IA2+IB2+IC2=(IB1+IC1+IBG+ICG)(3)

The effective value is:

3I02=3Uφω(C0ΣC02)(4)

The zero sequence equivalent network in case of single-phase grounding when the neutral point is not grounded is shown in Figure 2.

FIGURE 2
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FIGURE 2. Zero sequence equivalent network for single-phase grounding.

There is a zero sequence voltage U0 at the grounding point, and the circuit of zero sequence current is constituted by the capacitance of each component to ground, and because the zero sequence resistance in the distribution line is much smaller than the zero sequence capacitance, which is completely different from the direct grounding grid.

In summary, when the neutral ungrounded system occurs single-phase grounding fault, the zero sequence current of fault line is numerically equal to the sum of capacitive current to ground of all the components in the non-faulty line. The capacitive reactive power is flowing from the line to the busbar, which happens to be different from the normal line, can be used as the line selection criteria.

As can be seen from the foregoing, in the neutral ungrounded system, the current flowing through the fault point in the fault line is the sum of the capacitive currents to ground of the components on the non-faulty line of the whole system. As a result, the reactive power at the fault line differs significantly from the reactive power amplitude of the non-faulty line. It can be used as part of the fusion criterion.

3 Modeling and optimization analysis

3.1 Model

Based on the aforementioned analysis of the characteristic of faults in neutral ungrounded systems, and taking the complexity of the operation mode and the weakness of fault signal in the actual lines into account, the single-component criterion approach is not sufficient to ensure that effectively improve accuracy of fault selection. Therefore, the data components such as phase current and reactive power in the line are mainly used as the line selection criterion. The phase current is normalized by dispersion analysis, and then the phase current and reactive power are fused and multiple by the corresponding weights. This criterion is applied to the simulation data to obtain the accuracy of fault selection, and the optimal objective function is obtained by optimizing it with a pulsed membrane neural system.

The effective value of phase current and reactive power of the line can be calculated by collecting phase current and phase voltage of the line in the dispatching data, and at the same time calculate the change of phase current ΔIi and reactive power ΔQi .

From the aforementioned principle analysis, it can be obtained that in the ungrounded system, the change of phase current and reactive power when a single-phase ground fault occurs is more obvious, which can be used as the line selection criterion. Normalize the pre- and post-fault change data to facilitate the fusion criterion, and subsequently optimize the line selection weights in the two change quantities.

Normalization of the variation of phase currents:

αi=|ΔIi|k=1n|ΔIk|(5)

Normalization of the amount of change in reactive power:

βi=|ΔQi|k=1n|ΔQk|(6)

Where, αi and βi are the normalized parameters of the variation of phase current and reactive power of line I, respectively. |ΔIi|, |ΔQi| are the amplitude of the phase current and reactive power changes of line i. |ΔIk|, |ΔQk| are the changes in phase current and reactive power of the line k, respectively.

Calculation of the corresponding fault probability for all feeders at the busbar:

Pi=mαi+(1m)βi(7)

Where, Pi is the fault probability of the feeder line and m is the weight parameter to be optimized.

The single current or reactive power criterion can not meet the requirements of fault line selection in complex power grid and has certain limitations in the application of line selection in different grounding modes. Therefore, the parameter m (dimensionless) is used to fuse the two criterions. In addition, different values of m have a great impact on the accuracy of fault line selection, hence an optimization method is needed to optimize the value of m.

3.2 Optimization analysis

3.2.1 Optimization spiking neural P systems

As a kind of optimization algorithm, the Optimization Spiking Neural P Systems (OSNPS) has the characteristics of parallelism (Zhang et al., 2020). Therefore, OSNPS enables to optimize parameters rapidly. The core idea of parameter optimization based on optimization spiking neural P systems is to first convert the parameters into binary pulse bursts as inputs to OSNPS, and then use the OSNPS to achieve parameter optimization (Dong et al., 2022b). In general, OSNPS includes two parts: the multiple Extended Spiking Neural P Systems (ESNPSs) and the Guider algorithm.

An ESNPS with degree m (m ≥ 1) is shown in Figure 3 and its formal definition is as follows (Dong et al., 2021):

= (O, σ1,... σm+2, syn, out)(8)

In Eq. 8:

(1) O={a} is the set of spikes, and a represents the spikes in this set;

(2) σ1,...σm+2 are (m+2) neurons in ESNPS. Where, σm+1 and σm+2 have the same function and the mathematical expression is σm+1=σm+2=(1,{aa}). The mathematical expression of σi(i=1,2,...,m) is σi=(1,Ri,Pi). Where, Ri={ri1,ri2} is a finite set of rules; ri1 and ri2 represent the firing rule (ri1={aa}) and the forgetting rule ri2={aλ}, respectively. Pi={Pi1,Pi2} is an expression for the probability of choosing the firing rule or the forgetting rule, where, Pi1 and Pi2 represent the probability of ri1 and ri2, respectively. In particular, Pi1+Pi2=1.

(3) syn represents the connection relationship (synapse) between neurons;

(4) out={σ1,...σm} is an output set, which is a binary string consisting of an arrangement of binary characters derived from each σi(i=1,2,...,m).

FIGURE 3
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FIGURE 3. Extended spiking neural P system.

OPNPS consists of multiple ESNPSs, the number of which is H and each of which is defined and structured in Figure 3. An ESNPS family containing a Guider is called OSNPS. First, H ESNPSs are arranged in parallel and the Guider is added to support spikes to m neurons. The Guider regulates the probability Pi1 of the firing rule ri1. An OSNPS is consisted by the multiple ESNPSs and the Guider algorithm, showen in Figure 4.

FIGURE 4
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FIGURE 4. Optimization spiking neural P system.

The parameter optimization in Eq. 7 is realized by using the guide algorithm designed in literature (Zhang et al., 2014), and the pseudo-code of the guide algorithm is shown in Supplementary Table S1.

According to the specific optimization objective function, the general processing flow is as follows:

(1) Convert the decimal of the optimized parameters to binary after preprocessing, followed by arranging the binary into a binary string (the current parameter m is real number, m will be converted to binary, i.e., if m=(0.125)d, then m=(0.001)b. In OSNPS, if the firing rule is performed, then the current neuron output 0/1, otherwise, the current neuron output 0. Therefore, a binary string of 0/1 from the multiple neurons represents the binary number.), i.e., an individual. The above process is repeated until a complete population is produced.

(2) The probability corresponding to the first individual in the population is adjusted according to the probability adjustment strategy until all probabilities corresponding to all individuals are adjusted.

(3) Repeat step (2) over and over again, and after the probabilities corresponding to all individuals in the population have been adjusted, proceed to the next iteration.

(4) After finding the optimal value, the iteration of the algorithm stops and the optimal value is output.

3.2.2 Optimization spiking neural P systems is used for single-phase grounding fault line selection according to steady-state information

For the objective function derived in the second part, the objective function in Eq. 7 is solved using OSNPS. All the experiments are implemented on the platform PYTHON and on a work station with GPU 3080, 32 GB RAM and Windows 10. The specific solution procedure is as follows.

(1) Build the PSCAD parametric simulation model and obtain the data required for the model, such as label data, steady-state current data and steady-state reactive power data.

(2) Set the basic parameters of the model: In OSNPS, the basic parameters include the number of evolutionary populations H, learning probability pja, learning rate Δ and maximum number of iterations Nmax.

(3) Initialize model parameters: Enter relevant steady-state information, including steady-state current information before and after the fault, steady-state reactive power information before and after the fault, and label values corresponding to the fault line and the non-fault line.

(4) Calculate the fitness value: determine the number of optimization parameters, and establish a model of the optimized pulsed neural membrane system. The optimization parameters are used as the input of the optimized pulsed neural membrane system, and the optimized parameters are used as the inputs, and the output results of the optimized pulsed neural membrane system are performed.

(5) Verify the validity and correctness of the optimization parameters based on the results obtained by optimization spiking neural P systems.

The specific process is shown in Figure 5 below.

FIGURE 5
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FIGURE 5. Schematic diagram of parameter determination and fault line selection.

4 Simulation model verification

4.1 10 kV distribution network simulation model

This paper uses PSCAD/EMTDC to build a 10 kV small current grounding system disribution network simulation model as shown in Figure 6. All the experiments are implemented on the platform PSCAD/EMTDC45 and on a work station with GPU GTX960M, 8 GB RAM and Windows10.

FIGURE 6
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FIGURE 6. Neutral ungrounded system.

The model contains 4 lines (L1 ∼ L4), and the line types are overhead lines, cable lines, overhead cable hybrid lines. The simulation parameters related to the model are shown in Supplementary Table S2.

In this paper, a large number of simulations and analyses are made by PSCAD/EMTDC for the neutral point ungrounded system of the distribution network. In order to obtain data on faults occurring during stable operation of the system, the fault time is set at 2s and the duration is 0.4s. The conditions when a single-phase ground fault occurs are: (1) the fault line is line L1∼L4; (2) the fault is set at the end of the line in the simulation model for setting the different fault line lengths; (3) the grounding fault is set to 0Ω, 20Ω, 100Ω, 600Ω, 800Ω, 1000Ω. Because only the steady-state RMS data in the scheduling system is considered, the simulation is not considered for different fault closing angles, and a total of 120.

In 120 sets of data, each set of data mainly includes label data, steady-state current data and steady-state reactive power data. Some of the sample data are shown in Supplementary Table S3.

4.2 Analysis of the main influencing factors

In order to further clarify the relationship between fault information features and fault identification accuracy and study its internal mechanism, this section analyzes the main influencing factors of fault line selection accuracy.

The fault line selection model established in the previous section is based on the IQ normalized criterion composed of the change of phase current and reactive power. Where, the current criterion is closely related to the capacitive current and the phase of the capacitive current is always 90° ahead of the voltage. Therefore, only the amplitude of the capacitive current is considered to be influenced by the capacitive reactance to ground. The reactive power criterion is related to the capacitive current and the amplitude and phase of line voltage, obviously which influenced by the transition resistance.

In summary, the main influencing factors of the proposed steady-state component selection method are the capacitive current to ground ICΣ and the transition resistance Rf. According to the standard, arc suppression coil should be installed when the capacitive current of 35 kV power grid exceeds 10A. At the present stage, the neutral ungrounded system should be analyzed first, so the range of capacitive current to ground ICΣ should be 3 ∼ 20A, the transition resistance Rf ranges from 0 to 1000 Ω.

Based on the simulation model established in Section 4.1, it is assumed that the fault occurs on line Lf and the other three non-fault lines are L1∼L3.

Supplementary Tables S4–S7 show the fault probabilities for Lf, L1, L2 and L3 (m = 0.5) obtained from the variations of transition resistance and capacitive current when the fault location and load current are fixed.

As can be seen from Supplementary Table S4 to Supplementary Table S7, when the capacitive current IC is very small at 3A and at the same time the transition resistance Rf is large at 1000 Ω, the probability of the fault line Lf is only 18.0%, which is no longer the largest in all lines and in this case will lead to wrong line selection.

In addition, when the IC is 3A and Rf is 600 Ω will also fail in line selection, Pf = 21.3%, which is less than 28.1% of P1 and 26.0% of P2 and 24.6% of P3.

From the above analysis, it is clear that when the capacitive current is small and at the same time the transition resistance is large, the original selection method without optimization of the fusion operator may result in a wrong selection.

To further illustrate the law of grounding probability with the variation of capacitive current IC and transition resistance Rf, Figures 7, 8 are especially plotted.

FIGURE 7
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FIGURE 7. The characteristics of the grounding probability with the variation of capacitive current IC. (A) Rf = 0 Ω;(B) Rf = 200 Ω;(C) Rf = 600 Ω;(D) Rf = 1000 Ω

FIGURE 8
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FIGURE 8. The characteristics of the grounding probability with the variation of transition resistance Rf. (A) Ic = 3A;(B) Ic = 4A;(C) Ic = 10A;(D) Ic = 20A

The law of the grounding probability of each line with the variation of the system capacitive current IC under different transition resistance conditions is shown in Figure 7.

(a) and (b) of Figure 7 show the characteristics of the grounding probability with the variation of capacitive current IC for Lf, L1, L2 and L3 when Rf=0Ω and Rf=200Ω, respectively. In general, Pf increases with IC and always maintains the highest grounding probability among the four lines, thus ensuring the correct line selection. However, when the capacitive current is very small, the grounding probability of the four lines is almost close.

(c) and (d) of Figure 7 show the characteristics of the grounding probability with the variation of capacitive current IC for Lf, L1, L2 and L3 when Rf=600Ω and Rf=1000Ω, respectively. It can be seen that in the case of larger transition resistance, the grounding probability curve of Pf has intersected with that of P1, P2 and P3, which means that Pf can no longer be maintained as the largest of the four lines. That is, the line selection method fails.

The law of the grounding probability of each line with the variation of transition resistance Rf under different system capacitive current conditions is shown in Figure 8.

(a) and (b) of Figure 8 show the characteristics of the grounding probability with the variation of capacitive current Rf for Lf, L1, L2 and L3 when IC=3A and IC=4A, respectively. When the IC is small, Pf gradually decreases with the gradual increase of Rf and finally intersects with the probability curve of the non-fault line and there is a situation where Pf is less than Pi, which means the line selection method fails. When the IC is larger, the grounding probability in each line always remains the largest, that is, the IQ selection method can ensure the accuracy of the selection rate.

4.3 Optimization results analysis

The optimal parameter values of m and n are solved according to the known sample data and Eq. 7 in Section 3.1. The trend of m during its 20 independent optimization and the final results are shown in Figure 9.

FIGURE 9
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FIGURE 9. Parameter optimization results.

Based on the results after 20 independent optimizations, the average value of m is taken as the final value in order to reduce the error. The resulting objective function is shown in Eq. 9.

Pi=0.5988αi+0.4012βi(9)

The 40 sets of test data were validated according to Eq. 9 and their accuracy was obtained as 99.79%. Therefore, the line selection model established in this paper and the applied parameter optimization method are feasible and effective for the selection of the line of the steady-state information single-phase grounding fault.

5 Conclusion

In this paper, due to the data characteristics of neutral ungrounded system stored in the power dispatch system and the advantages of OSNPS, the simulation modeling of PSCAD/EMTDC is performed for the neutral ungrounded system of 10 kV distribution network, the parameters are optimized by OSNPS and the line selection model is finally determined.The following conclusions are obtained through experiments and research analysis.

(1) The established fault line selection model can effectively identify fault lines by steady-state current and power alone, improving the practical application of the model.

(2) The parameters determined by OSPNS can effectively identify the fault line and the recognition accuracy can reach 99.79%.

(3) It provides a better choice for the traditional manual method of fault line selection and can effectively improve the efficiency of selection.

Data availability statement

The original contributions presented in the study are included in the article/Supplementary Material, further inquiries can be directed to the corresponding author.

Author contributions

JT: Conception and design of the study, Algorithm, Writing—original draft. LJ: Statistical analysis, Writing—second draft. HL: Validation, Writing—review and editing. HW: Data curation. YL: Investigation. All authors contributed to manuscript revision and read and approved the submitted version.

Funding

This work was supported by Science and Technology Project of Guangxi Power Grid Corporation “Research and application of key technologies of fuzzy diagnosis of power grid faults based on artificial intelligence image recognition” under grant GXDWKJXM20190680.

Conflict of interest

Authors JT, LJ, HL and HW are employed by the company Guangxi Power Grid Dispatching Control Center, China Southern Power Grid Company Limited.

The remaining authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.

Publisher’s note

All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.

Supplementary material

The Supplementary Material for this article can be found online at: https://www.frontiersin.org/articles/10.3389/fenrg.2022.981404/full#supplementary-material

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Keywords: fault line selection, small current grounding system, fault characteristics, objective function, optimization spiking neural P systems

Citation: Tian J, Jiang L, Li H, Wei H and Liu Y (2022) A method of single-phase grounding fault line selection based on optimization spiking neural P systems. Front. Energy Res. 10:981404. doi: 10.3389/fenrg.2022.981404

Received: 29 June 2022; Accepted: 21 July 2022;
Published: 02 September 2022.

Edited by:

Biyun Chen, Guangxi University, China

Reviewed by:

Gexiang Zhang, Chengdu University of Information Technology, Chengdu, China
Linqiang Pan, Huazhong University of Science and Technology, China

Copyright © 2022 Tian, Jiang, Li, Wei and Liu. This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.

*Correspondence: Junyang Tian, Guzxx2022@163.com

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