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Power Quality Improvement Using ANN Controller For Hybrid Power Distribution Systems
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作者 Abdul Quawi Y.Mohamed Shuaib M.Manikandan 《Intelligent Automation & Soft Computing》 SCIE 2023年第6期3469-3486,共18页
In this work,an Artificial Neural Network(ANN)based technique is suggested for classifying the faults which occur in hybrid power distribution systems.Power,which is generated by the solar and wind energy-based hybrid... In this work,an Artificial Neural Network(ANN)based technique is suggested for classifying the faults which occur in hybrid power distribution systems.Power,which is generated by the solar and wind energy-based hybrid system,is given to the grid at the Point of Common Coupling(PCC).A boost converter along with perturb and observe(P&O)algorithm is utilized in this system to obtain a constant link voltage.In contrast,the link voltage of the wind energy conversion system(WECS)is retained with the assistance of a Proportional Integral(PI)controller.The grid synchronization is tainted with the assis-tance of the d-q theory.For the analysis of faults like islanding,line-ground,and line-line fault,the ANN is utilized.The voltage signal is observed at the PCC,and the Discrete Wavelet Transform(DWT)is employed to obtain different features.Based on the collected features,the ANN classifies the faults in an effi-cient manner.The simulation is done in MATLAB and the results are also validated through the hardware implementation.Detailed fault analysis is carried out and the results are compared with the existing techniques.Finally,the Total harmonic distortion(THD)is lessened by 4.3%by using the proposed methodology. 展开更多
关键词 Artificial neural network discrete wavelet transform hybrid power distribution system power quality power quality disturbances
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Power Distribution System Regulation (A Review)
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作者 Mohammad Yahyaeifar Reza Dashti Meisam Farajollahi 《Journal of Energy and Power Engineering》 2023年第3期86-101,共16页
This article presents a framework and a comprehensive model to optimize the regulation of the electricity distribution system.The regulatory requirements of the electricity distribution system and research gaps in thi... This article presents a framework and a comprehensive model to optimize the regulation of the electricity distribution system.The regulatory requirements of the electricity distribution system and research gaps in this field are among the important outputs of this review article.In each of the presented parts of the framework,it has reviewed,introduced and listed the regulatory studies of the electricity distribution system.In order to calculate the PDSR(regulation of power distribution system)framework,governance first presents,its goals,and its development plan in the distribution sector,and discusses the regulatory position in it.After that,in the electricity distribution system,it describes the role of the regulator in the goals and plans of the electricity distribution system,and introduces the types of regulation of the electricity distribution system,and finally,discusses about the place of data in the regulation and its requirements,and the effects of regulation in the evolution and stability of the electricity distribution system. 展开更多
关键词 Electricity distribution system regulation governance review of studies.
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Hound:a parallel image distribution system for cluster based on Docker
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作者 LIU Zijie LI Junjiang +1 位作者 CHEN Can ZHANG Dengyin 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2023年第4期955-965,共11页
Current applications,consisting of multiple replicas,are packaged into lightweight containers with their execution dependencies.Considering the dominant impact of distribution efficiency of gigantic images on containe... Current applications,consisting of multiple replicas,are packaged into lightweight containers with their execution dependencies.Considering the dominant impact of distribution efficiency of gigantic images on container startup(e.g.,distributed deep learning application),the image“warm-up”technique which prefetches images of these replicas to destination nodes in the cluster is proposed.However,the current image“warm-up”technique solely focuses on identical image distribution,which fails to take effect when distributing different images to destination nodes.To address this problem,this paper proposes Hound,a simple but efficient cluster image distribution system based on Docker.To support diverse image distribution requests of cluster nodes,Hound additionally adopts node-level parallelism(i.e.,downloading images to destination nodes in parallel)to further improve the efficiency of image distribution.The experimental results demonstrate Hound outperforms Docker,kubernetes container runtime interface(CRI-O),and Docker-compose in terms of image distribution performance when cluster nodes request different images.Moreover,the high scalability of Hound is evaluated in the scenario of ten nodes. 展开更多
关键词 container image image distribution PARALLELISM CONTAINERIZATION
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Similarity matching method of power distribution system operating data based on neural information retrieval
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作者 Kai Xiao Daoxing Li +2 位作者 Pengtian Guo Xiaohui Wang Yong Chen 《Global Energy Interconnection》 EI CAS CSCD 2023年第1期15-25,共11页
Operation control of power systems has become challenging with an increase in the scale and complexity of power distribution systems and extensive access to renewable energy.Therefore,improvement of the ability of dat... Operation control of power systems has become challenging with an increase in the scale and complexity of power distribution systems and extensive access to renewable energy.Therefore,improvement of the ability of data-driven operation management,intelligent analysis,and mining is urgently required.To investigate and explore similar regularities of the historical operating section of the power distribution system and assist the power grid in obtaining high-value historical operation,maintenance experience,and knowledge by rule and line,a neural information retrieval model with an attention mechanism is proposed based on graph data computing technology.Based on the processing flow of the operating data of the power distribution system,a technical framework of neural information retrieval is established.Combined with the natural graph characteristics of the power distribution system,a unified graph data structure and a data fusion method of data access,data complement,and multi-source data are constructed.Further,a graph node feature-embedding representation learning algorithm and a neural information retrieval algorithm model are constructed.The neural information retrieval algorithm model is trained and tested using the generated graph node feature representation vector set.The model is verified on the operating section of the power distribution system of a provincial grid area.The results show that the proposed method demonstrates high accuracy in the similarity matching of historical operation characteristics and effectively supports intelligent fault diagnosis and elimination in power distribution systems. 展开更多
关键词 Neural information retrieval Power distribution Graph data Operating section Similarity matching
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Identification of Type of a Fault in Distribution System Using Shallow Neural Network with Distributed Generation
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作者 Saurabh Awasthi Gagan Singh Nafees Ahamad 《Energy Engineering》 EI 2023年第4期811-829,共19页
A distributed generation system(DG)has several benefits over a traditional centralized power system.However,the protection area in the case of the distributed generator requires special attention as it encounters stab... A distributed generation system(DG)has several benefits over a traditional centralized power system.However,the protection area in the case of the distributed generator requires special attention as it encounters stability loss,failure re-closure,fluctuations in voltage,etc.And thereby,it demands immediate attention in identifying the location&type of a fault without delay especially when occurred in a small,distributed generation system,as it would adversely affect the overall system and its operation.In the past,several methods were proposed for classification and localisation of a fault in a distributed generation system.Many of those methods were accurate in identifying location,but the accuracy in identifying the type of fault was not up to the acceptable mark.The proposed work here uses a shallow artificial neural network(sANN)model for identifying a particular type of fault that could happen in a specific distribution network when used in conjunction with distributed generators.Firstly,a distribution network consisting of two similar distributed generators(DG1 and DG2),one grid,and a 100 Km distribution line is modeled.Thereafter,different voltages and currents corresponding to various faults(line to line,line to ground)at different locations are tabulated,resulting in a matrix of 500×18 inputs.Secondly,the sANN is formulated for identifying the types of faults in the system in which the above-obtained data is used to train,validate,and test the neural network.The overall result shows an unprecedented almost zero percent error in identifying the type of the faults. 展开更多
关键词 distribution network distributed generation power system modeling fault identification neural network renewable energy systems
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Stability Analysis and Control of DC Distribution System with Electric Vehicles
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作者 Zhijie Zheng Song Zhang +3 位作者 Xiaolei Zhang Bo Yang Fang Yan Xiaoning Ge 《Energy Engineering》 EI 2023年第3期633-647,共15页
The DC distribution network system equipped with a large number of power electronic equipment exhibits weak damping characteristics and is prone to low-frequency and high-frequency unstable oscillations.The current in... The DC distribution network system equipped with a large number of power electronic equipment exhibits weak damping characteristics and is prone to low-frequency and high-frequency unstable oscillations.The current interpretation of the oscillation mechanism has not been unified.Firstly,this paper established the complete statespace model of the distribution system consisting of a large number of electric vehicles,characteristic equation of the distribution network system is derived by establishing a state-space model,and simplified reduced-order equations describing the low-frequency oscillation and the high-frequency oscillation are obtained.Secondly,based on eigenvalue analysis,the oscillation modes and the influence of the key system parameters on the oscillation mode are studied.Besides,impacts of key factors,such as distribution network connection topology and number of dynamic loads,have been discussed to suppress oscillatory instability caused by inappropriate design or dynamic interactions.Finally,using the DC distribution example system,through model calculation and time-domain simulation analysis,the correctness of the aforementioned analysis is verified. 展开更多
关键词 DC distribution network system oscillation instability reduced-order equivalent model damping control sensitivity analysis
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Modeling of residual chlorine in water distribution system 被引量:4
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作者 LIXin M.Ukita 《Journal of Environmental Sciences》 SCIE EI CAS CSCD 2003年第1期136-144,共9页
Water quality within water distribution system may vary with both location and time. Water quality models are used to predict the spatial and temporal variation of water quality throughout water system. A model of res... Water quality within water distribution system may vary with both location and time. Water quality models are used to predict the spatial and temporal variation of water quality throughout water system. A model of residual chlorine decay in water pipe has been developed, given the consumption of chlorine in reactions with chemicals in bulk water, bio films on pipe wall, in corrosion process, and the mass transport of chlorine from bulk water to pipe wall. Analytical methods of the flow path from water sources to the observed point and the water age of every observed node were proposed. Model is used to predict the decay of residual chlorine in an actual distribution system. Good agreement between calculated and measured values was obtained. 展开更多
关键词 residual chlorine bulk water CORROSION bio film water quality water distribution system flow path water age
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Distributed generator-based distribution system service restoration strategy and model-free control methods 被引量:7
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作者 Weijia Liu Yue Chen Fei Ding 《Global Energy Interconnection》 CAS CSCD 2021年第2期126-135,共10页
The rapid growth of distributed generator(DG)capacities has introduced additional controllable assets to improve the performance of distribution systems in terms of service restoration.Renewable DGs are of particular ... The rapid growth of distributed generator(DG)capacities has introduced additional controllable assets to improve the performance of distribution systems in terms of service restoration.Renewable DGs are of particular interest to utility companies,but the stochastic nature of intermittent renewable DGs could have a negative impact on the electric grid if they are not properly handled.In this study,we investigate distribution system service restoration using DGs as the primary power source,and we develop an effective approach to handle the uncertainty of renewable DGs under extreme conditions.The distribution system service restoration problem can be described as a mixed-integer second-order cone programming model by modifying the radial topology constraints and power flow equations.The uncertainty of renewable DGs will be modeled using a chance-constrained approach.Furthermore,the forecast errors and noises in real-time operation are solved using a novel model-free control algorithm that can automatically track the trajectory of real-time DG output.The proposed service restoration strategy and model-free control algorithm are validated using an IEEE 123-bus test system. 展开更多
关键词 distribution system service restoration Distributed generator(DG) Intermittent renewable energy sources Model-free control Power system resilience Uncertainty management
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Online location of seismic damage to a water distribution system 被引量:4
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作者 梁建文 《Earthquake Engineering and Engineering Vibration》 SCIE EI CSCD 2003年第2期181-187,共7页
As one of the most important urban lifeline systems,a water distribution system can be damaged under a strong earthquake,and the damage cannot easily be located,especially immediately after the event.This often causes... As one of the most important urban lifeline systems,a water distribution system can be damaged under a strong earthquake,and the damage cannot easily be located,especially immediately after the event.This often causes tremendous difficulties to post-earthquake emergency response and recovery activities.This paper proposes a methodology to locate seismic damage to a water distribution system by monitoring water head online at some nodes in the water distribution system.An artificial neural network-based inverse analysis method is developed to estimate the water head variations at all nodes that are not monitored based on the water head variations at the nodes that are monitored.The methodology provides a quick,effective,and practical way to locate seismic damage to a water distribution system. 展开更多
关键词 water distribution system seismic damage BREAK LOCATION extent of damage ONLINE artificial neural network technique
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Key technologies for medium and low voltage DC distribution system 被引量:4
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作者 Yiwen Fan Yongning Chi +4 位作者 Yan Li Zhibing Wang Hongzhi Liu Wei Liu Xiangyu Li 《Global Energy Interconnection》 CAS CSCD 2021年第1期91-103,共13页
Development of the medium and low voltage DC distribution system is of great significance to a regional transmission of electric energy,increasing a penetration rate of new energy,and enhancing a safety of the operati... Development of the medium and low voltage DC distribution system is of great significance to a regional transmission of electric energy,increasing a penetration rate of new energy,and enhancing a safety of the operation of the AC/DC interconnected grid.This paper first summarizes the medium and low voltage DC distribution system schemes and plans put forward by many countries,and then elaborate status of under-construction medium and low voltage DC distribution system project cases in China.Based on these project cases,this paper analyzes key issues involved in the medium and low voltage DC distribution system topologies,equipment,operation control technologies and DC fault protections,in order to provide theoretical and technical reference for future medium and low voltage DC distribution system-related projects.Finally,this paper combines a current China research status to summarize and give a prediction about the future research direction of medium and low voltage DC distribution system,which can provide reference for the research of medium and low voltage DC distribution system. 展开更多
关键词 Medium and low voltage DC distribution system system topology Key equipment DC fault protection Operation control technology
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Iron stability in drinking water distribution systems in a city of China 被引量:2
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作者 NIU Zhang-bin WANG Yang +3 位作者 ZHANG Xiao-jian HE Wen-fie HAN Hong-da YIN Pei-jun 《Journal of Environmental Sciences》 SCIE EI CAS CSCD 2006年第1期40-46,共7页
A field study on the estimation and analysis of iron stability in drinking water distribution system was carried out in a city of China. The stability of iron ion was estimated by pC-pH figure. It was found that iron ... A field study on the estimation and analysis of iron stability in drinking water distribution system was carried out in a city of China. The stability of iron ion was estimated by pC-pH figure. It was found that iron ion was unstable, with a high Fe (OH)3 precipitation tendency and obvious increase in turbidity. The outer layer of the corrosion scale was compact, while the inner core was porous. The main composition of the scale was iron, and the possible compound constitutes of the outer scale were α-FeOH, γ-FeOOH, α-Fe2O3, γ-F2O3, FeCl3, while the inner were Fe3O4, FeCl2, FeCO3. According to the characteristics of the corrosion scale, it was thought that the main reason for iron instability was iron release from corrosion scale. Many factors such as pipe materials, dissolved oxygen and chlorine residual affect iron release. Generally, higher iron release occurred with lower dissolved oxygen or chlorine residual concentration, while lower iron release occurred with higher dissolved oxygen or chlorine residual concentration. The reason was considered that the passivated out layer of scale of ferric oxide was broken down by reductive reaction in a condition of low oxidants concentration, which would result more rapid corrosion of the nine and red water phenomenon. 展开更多
关键词 chlorine residual corrosion scale dissolved oxygen drinking water distribution systems iron release iron stability
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Power flow calculation for a distribution system with multi-port PETs:an improved AC-DC decoupling iterative method 被引量:5
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作者 Hang Yin Qiang Li +3 位作者 Youbo Liu Xianglong Liu Yue Xiang Junyong Liu 《Global Energy Interconnection》 2020年第4期313-323,共11页
Recently,power electronic transformers(PETs)have received widespread attention owing to their flexible networking,diverse operating modes,and abundant control objects.In this study,we established a steady-state model ... Recently,power electronic transformers(PETs)have received widespread attention owing to their flexible networking,diverse operating modes,and abundant control objects.In this study,we established a steady-state model of PETs and applied it to the power flow calculation of AC-DC hybrid systems with PETs,considering the topology,power balance,loss,and control characteristics of multi-port PETs.To address new problems caused by the introduction of the PET port and control equations to the power flow calculation,this study proposes an iterative method of AC-DC mixed power flow decoupling based on step optimization,which can achieve AC-DC decoupling and effectively improve convergence.The results show that the proposed algorithm improves the iterative method and overcomes the overcorrection and initial value sensitivity problems of conventional iterative algorithms. 展开更多
关键词 Power electronic transformers AC-DC distribution systems AC-DC mixed power flow algorithm
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Repulsive firefly algorithm-based optimal switching device placement in power distribution systems 被引量:3
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作者 Yuanpeng Tan Hai Chen +4 位作者 Wei Liu Mingze Zhang Yinong Li Xincong Li Hanyang Lin 《Global Energy Interconnection》 2019年第6期490-496,共7页
To achieve optimal configuration of switching devices in a power distribution system,this paper proposes a repulsive firefly algorithm-based optimal switching device placement method.In this method,the influence of te... To achieve optimal configuration of switching devices in a power distribution system,this paper proposes a repulsive firefly algorithm-based optimal switching device placement method.In this method,the influence of territorial repulsion during firefly courtship is considered.The algorithm is practically applied to optimize the position and quantity of switching devices,while avoiding its convergence to the local optimal solution.The experimental simulation results have showed that the proposed repulsive firefly algorithm is feasible and effective,with satisfying global search capability and convergence speed,holding potential applications in setting value calculation of relay protection and distribution network automation control. 展开更多
关键词 Power distribution systems Switching device Repulsive firefly algorithm Optimal placement RELIABILITY
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Bacterial Communities Associated with An Occurrence of Colored Water in An Urban Drinking Water Distribution System 被引量:1
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作者 WU Hui Ting MI Zi Long +2 位作者 ZHANG Jing Xu CHEN Chao XIE Shu Guang 《Biomedical and Environmental Sciences》 SCIE CAS CSCD 2014年第8期646-650,共5页
This study aimed to investigate bacterial community in an urban drinking water distribution system (DWDS) during an occurrence of colored water. Variation in the bacterial community diversity and structure was obser... This study aimed to investigate bacterial community in an urban drinking water distribution system (DWDS) during an occurrence of colored water. Variation in the bacterial community diversity and structure was observed among the different waters, with the predominance of Proteobacteria. While Verrucomicrobia was also a major phylum group in colored water. Limnobacter was the major genus group in colored water, but Undibacterium predominated in normal tap water. The coexistence of Limnobacter as well as Sediminibacterium and Aquobocterium might contribute to the formation of colored water. 展开更多
关键词 Bacterial Communities Associated with An Occurrence of Colored Water in An Urban Drinking Water distribution system
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Process Design of Cryogenic Distribution System for CFETR CS Model Coil 被引量:1
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作者 成安义 张启勇 +1 位作者 付豹 陆小飞 《Plasma Science and Technology》 SCIE EI CAS CSCD 2016年第2期202-205,共4页
The superconducting magnet of Central Solenoid(CS) model coil of China Fusion Engineering Test Reactor(CFETR) is made of Nb_3Sn/Nb Ti cable-in-conduit conductor(CICC),and operated by forced-flow cooling with a l... The superconducting magnet of Central Solenoid(CS) model coil of China Fusion Engineering Test Reactor(CFETR) is made of Nb_3Sn/Nb Ti cable-in-conduit conductor(CICC),and operated by forced-flow cooling with a large amount of supercritical helium.The cryogenic circulation pump is analyzed and considered to be effective in achieving the supercritical helium(SHe) circulation for the forced-flow cooled(FFC) CICC magnet.A distributed system will be constructed for cooling the CFETR CS model coil.This paper presents the design of FFC process for the CFETR CS model coil.The equipment configuration,quench protection in the magnet and the process control are presented. 展开更多
关键词 CFETR CS distribution system SHe circulation pump quench protection control system
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Parametric message passing-based relative navigation in joint tactical information distribution system 被引量:1
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作者 Nan Wu Bin Li +2 位作者 Hua Wang Liang Hou Jingming Kuang 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2016年第1期81-89,共9页
Relative navigation is a key feature in the joint tactical information distribution system(JTIDS).A parametric message passing algorithm based on factor graph is proposed to perform relative navigation in JTIDS.Firs... Relative navigation is a key feature in the joint tactical information distribution system(JTIDS).A parametric message passing algorithm based on factor graph is proposed to perform relative navigation in JTIDS.First of all,the joint posterior distribution of all the terminals' positions is represented by factor graph.Because of the nonlinearity between the positions and time-of-arrival(TOA) measurement,messages cannot be obtained in closed forms by directly using the sum-product algorithm on factor graph.To this end,the Euclidean norm is approximated by Taylor expansion.Then,all the messages on the factor graph can be derived in Gaussian forms,which enables the terminals to transmit means and covariances.Finally,the impact of major error sources on the navigation performance are evaluated by Monte Carlo simulations,e.g.,range measurement noise,priors of position uncertainty and velocity noise.Results show that the proposed algorithm outperforms the extended Kalman filter and cooperative extended Kalman filter in both static and mobile scenarios of the JTIDS. 展开更多
关键词 joint tactical information distribution system(JTIDS) relative navigation parametric message passing factor graph.
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Reliability Indices Evaluation of LV Distribution System and Inclusion of Protective Devices for Reliability Improvement 被引量:3
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作者 Sidath NAVARATHNA Kac UDAYAKUMAR 《Instrumentation》 2021年第2期49-55,共7页
This paper analyzes the reliability of low voltage(LV)distribution system of the Sri Lankan power system.Performance of LV distribution systems where mainly domestic consumers depend on the individual components of th... This paper analyzes the reliability of low voltage(LV)distribution system of the Sri Lankan power system.Performance of LV distribution systems where mainly domestic consumers depend on the individual components of the system.Failure rates of elements of the system are calculated based on the historical data of the LV distribution system in a semi-urban area.Load point reliability indices are calculated using the analytical method.Consumer-oriented reliability parameters and energy not served,and its cost are determined.As a method of improvement of reliability,inclusion of fuses to the lateral feeders of the main feeder is proposed.Load point reliability indices,consumer-oriented reliability indices,and energy not served are calculated for the distribution system with fuses in lateral feeders.The results are compared with the reliability indices of the present system and analyzed. 展开更多
关键词 LV distribution system Reliability Indices Failure Rate Energy Not Served
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Review Study on the Accumulation and Release of Trace Metal Elements on Aluminum Containing Sediments in Drinking Water Distribution System 被引量:1
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作者 Xiaoni ZHANG Jinghua MENG +2 位作者 Li CHEN Huanhuan ZUO Wendong WANG 《Research and Application of Materials Science》 2020年第1期34-38,共5页
Accumulation and releasing of trace metal elements on aluminum containing sediments of inner drinking water pipe is discussed,as studied from five variations effecting:raw water quality,chemical reagents,solution pH a... Accumulation and releasing of trace metal elements on aluminum containing sediments of inner drinking water pipe is discussed,as studied from five variations effecting:raw water quality,chemical reagents,solution pH and drinking water flow condition.In order to decrease the release of trace metal elements,and to ensure the pipe operation and human safety,water quality adjustment is suggested to avoid aluminum containing sediments formation in drinking distribution system.The maximum amounts of accumulation of common trace metal elements are given.Future trends of development in this field are also proposed. 展开更多
关键词 drinking water distribution system aluminum containing sediments trace metal elements ACCUMULATION RELEASE
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Short-circuit Analysis in Large-scale Distribution Systems With High Penetration of Distributed Generators
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作者 Luka V.Strezoski Marija D.Prica 《IEEE/CAA Journal of Automatica Sinica》 SCIE EI CSCD 2017年第2期243-251,共9页
In this paper a short-circuit computation(SCC) procedure for large-scale distribution systems with high penetration of distributed generators based on contemporary technologies is proposed. The procedure is suitable f... In this paper a short-circuit computation(SCC) procedure for large-scale distribution systems with high penetration of distributed generators based on contemporary technologies is proposed. The procedure is suitable for real-time calculations.Modeling of modern distributed generators differs from the modeling of traditional synchronous and induction generators.Hence, SCC procedures found on the presumption of distribution systems with only traditional generators are not suitable in nowadays systems. In the work presented in this paper, for computation of the state of the system with short-circuit, the improved backward/forward sweep(IBFS) procedure is used.Computation results show that the IBFS procedure is much more robust than previous SCC procedures, as it takes into account all distribution system elements, including modern distributed generators. 展开更多
关键词 Distributed generation(DG) distribution system distribution management system(DMS) short-circuit computation
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A Hybrid Decoupled Power Flow Method for Balanced Power Distribution Systems
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作者 Hongbo Sun Daniel Nikovski +2 位作者 Tetsufumi Ohno Tomihiro Takano Yasuhiro Kojima 《Journal of Electronic Science and Technology》 CAS 2012年第1期15-21,共7页
This paper proposes a hybrid decoupled power flow method for balanced power distribution systems with distributed generation sources. The method formulates the power flow equations in active power and reactive power d... This paper proposes a hybrid decoupled power flow method for balanced power distribution systems with distributed generation sources. The method formulates the power flow equations in active power and reactive power decoupled form with polar coordinates. Second-order terms are included in the active power mismatch iteration, and constant Jacobian and Hessian matrices are used. A hybrid direct and indirect solution technique is used to achieve efficiency and robustness of the algorithm. Active power correction is solved by means of a sparse lower triangular and upper triangular (LU) decomposition algorithm with partial pivoting, and the reactive power correction is solved by means of restarted generalized minimal residual algorithm with an incomplete LU pre-conditioner. Typical distribution generation models and distribution load models are included. The impact of zero-impedance branches is explicitly modeled through reconfiguring of the adjacent branches with impedances. Numerical examples on a sample distribution system with widespread photovoltaic installations are given to demonstrate the effectiveness of the proposed method. 展开更多
关键词 Direct method distributed generations distribution systems indirect method power flow zero-impedance branches.
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