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Effects of Protection System Hidden Failures on Bulk Power System ReliabilityFang Yang, StudentMember, IEEE, A. P. Sakis Meliopoulos, Fellow, IEEE, George J. Cokkinides, Member, IEEE, and Q. Binh Dam, StudentMember; IEEE Abstract一Protection System hidden failures have been recognized as a contributing factor to power system cascading outages. However, in the current bulk power system reliability assessment practice, protection systems are generally assumed to be perfect, and the effects of hidden failures in protection systems are not taken into account. In this paper, the impact of protection system hidden failures on bulk power system reliability is investigated. A breaker-oriented bulk power system network model is developed to include detailed system substation configurations and associated protection system schemes. Protection system constituents, such as transducers, relays, circuit breakers, may suffer from hidden failures. Hidden failures existing in transducers and relays can be detected by the advanced system real time monitoring and analysis technologies. Thus, the major concern of this work focuses on the analysis of hidden failures in circuit breakers. The hidden failure effects analysis shows that some initial system disturbances can result in the unnecessary outages of intact power system equipment because of hidden failures in circuit breaker trip mechanisms. Contingencies resulting from hidden failure outages are further evaluated by a security-constrained adequacy evaluation methodology to obtain their influence on system reliability. The proposed analysis procedure is demonstrated with a breaker- oriented 24-substation reliability test system, which is developed based on the IEEE 24-bus reliability test system and integrates explicit substation and protection system models in the network model. Evaluation results show that protection system hidden failures downgrade the system reliability level because they lead to the outages of undamaged equipment following initial system disturbances.Index Tern”一HiddenCircuit breaker-oriented substation modeladvancedsubstation model,failure, protection system, circuit breaker-bulk power system reliability assessment,real timeconstrained adequac3power system monitoring and analysis, security-evaluation.I_ INTRODUCTIONIn bulk power system planning and operation, an importantprocedure is reliabiliity assessment 1. the current practice in reliability assessment mainly includes N-1 contingencyanalysis for independent and common mode equipmentoutages, and N-2 security analysis is performed only for somecredible cases. Most of contingencies that involve multiplecomponent outages are considered as a result of severalindependent succeeding events in the system and usually not amajor concern in the reliability assessment procedure.However, recent research 2-4 shows that protection systemhidden failures may cause multiple component outages thalare dependent upon each other, i.e., an initial componentoutage can lead to the cascading trippings of othercomponents because of the protection system malfunction.Therefore, protection system hidden failures have beenrecognized as a contributing factor in spreading power systemdisturbances and even causing system blackouts. Sinceprotection systems are generally assumed to be perfect whenconsidering bulk power system reliability, the effects ofprotection system hidden failures are not considered in thecurrent practice of bulk power system reliability assessment. Hidden failures in protection systems are defined 5 as apermanent defect that will cause a relay or a relay system toincorrectly and inappropriately remove a circuit clement(s) asa direct consequence of another switching event. In otherwords, hidden failures remain hidden during normal systemconditions, and when system disturbances occur, such asfaults or overloads, hidden failures are exposed and causeunnecessary outages. The existence of hidden failures inprotection systems makes the stressed system situation evenworse and reduces the system reliability level. Protection systems consist of many components, such astransducers (current and voltage transformers), relays, circuitbreakers, and so on, which contribute to the detection andremoval of faults 6. Hidden failures may exist in any ofthese constituents. Most of present research focuses onstudying hidden failures in relays. For example, themechanism and consequence of some possible hidden failuremodes in various relays used for transmission systemprotections are analyzed in 7, 8. On the other hand, theanalysis of hidden failures in other protection systemcomponents, such as transducers and circuit breakers, has notreceived much attention. The application of various intelligent electronic devices(IEDs) in power system substations, such as phasor measurement units, digital protection relays, and so on, has made it possible to implement advanced real time system monitoring and analysis technologies 9-11, based on which the transducer outputs and relay settings can be validated and verified on line. However, such technologies can not examine the circuit breakers ability to trip, even though the trip coil circuit may be monitored. Hidden failures in the circuit breaker trip mechanism can cause circuit breakers fail to open.Therefore, this work concentrates on analyzing the impact of hidden failures in circuit breaker trip mechanisms on bulk power system reliability. In this paper, a framework of bulk power system reliability assessment, i.e., the security-constrained adequacy evaluation(SCAE) methodology, is extended to include the effects of protection system hidden failures on bulk power system reliability. The detailed SCAE methodology can be found in references 12-14. It incorporates operational practices and simulates contingencies efficiently in a realistic manner. In the extended SCAE framework, the hidden failure effects analysis is performed on each power system substation to obtain possible contingencies resulting from hidden failure outages as well as their conditional probabilities given the occurrence of initial system disturbances. Hidden failure contingencies and other system contingencies are then subject to the threesteps of SCAE methodology: (a) contingency selection/ranking, (b) effects analysis, and (c) reliability index computation. The effects of protection system hidden failures on bulk power system reliability are demonstrated with a breaker-oriented 24-substation reliability test system (RTS). II.METHODOLOGY This section describes the proposed methodology that can consider the effects of protection system hidden failures on Bulk power system reliability.A、Breaker-Oriented Substation Since protection systems are assumed to be perfect in the current bulk power system reliability assessment procedure,system substations are generally simplified to buses, and different transmission lines simply converge at buses to connect generators or to serve loads. To consider hidden failures in protection systems, we develop the breaker-oriented substation model 15 in this study. Such model provides the substation configuration by converting each bus of the power system into a substation with specific bus arrangements (breaker and a half, ring, and so on). The selection of bus arrangements follows usual design procedures and practices. The substation models are then an integral part of the bulk power system network model and reflect the real life existence of substation configurations. Figure 1 shows an example breaker-oriented substation model with a breaker-and-a-half bus arrangement, which consists of six circuit breakers (CBI to CB6) and four incoming/outgoing transmission lines (L1 to L4). The breaker-oriented substation model adds a new level of detail in the network model, based on which the protection system schemes for various power system components can be introduced into the network model. For instance, two examples of the protection system design are shown in Figure 1. Protection systems 1 and 2 are to protect transmission line L1 and Bus B, respectively. Major constituents in these two protection systems include current transformers (CT 1 to CT4),a voltage transformer (VT), relays (RI and R2), and circuit breakers (CBI to CB4) associated with trip coils (TCl to TC4). The detailed substation and protection system models make it possible to study the impact of protection systems on power system performance. Specifically, in this work, the impact of protection system hidden failures on bulk power system reliability is investigated.Figure 1.A breaker-and-a-half bus arrangement substation modelB. Protection system Hidden Failures Each of protection system components may suffer from hidden failures depending on its inherent mechanism. Some possible hidden failures of major components in protection systems are briefly analyzed below.Current Transformer (CT) After a fault occurs, fault currents may lead to current transformer saturation, in which the secondary current of the current transformer can not faithfully represent the primary current.Voltage Transformer (1T) For some voltage transformers, such as coupling capacitor voltage transformers (CCVTs), the output of the voltage transformer may be significantly different from the actual primary voltage after a fault.Relay When the system operating condition changes, such as system overload occurs, a relay may fail to detect the system status correctly and trip the intact system components as a result of an outdated setting in the relay. Circuit Breaker Any failures in the trip mechanism of a circuit breaker, such as the open circuit of trip coils or the circuit breaker plates fail to separate because of welding, will lead to circuit breaker fail to trip.C. Impact ofAdvanced System Monitoring andAnalysis Technologies Nowadays, besides conventional RTUs, a variety of intelligent electronic devices (IEDs) are available in power system substations, including phasor measurement units,digital protection relays, and so on. Compared to the limitation, inaccuracy, and delay in traditional SCADA data,more redundant, accurate, and real time system data can be obtained from these IEDs. Based on IED measurements,substation level system information extraction functions, such as substation level state estimation and alarm processing, can significantly improve the capability of system real time monitoring and analysis. The advanced system monitoring and analysis functions make it possible to perform real time validation and verification for transducer outputs and relay settings. If any hidden failures exist in CTs or VTs that cause their outputs fail to reflect actual primary system statuses, the substation level state estimation based on IED measurements can identify bad data in a fast and reliable way. In addition, based on the real time synchronized measurements of system states, the real time system model can be built and relay settings can be verified to avoid misoperation caused by relay outdated settings. Therefore, the advanced system monitoring and analysis capability brought by the application of IEDs can detect hidden failures existing in transducers and relays in protection systems considerably. However, such techniques do not detect the circuit breakers ability to trip. Hidden failures in the circuit breaker trip mechanisms will remain uncovered until circuit breakers fail to open during system disturbances. Hence, in this work, the consideration of protection system hidden failures concentrates on hidden failures in the circuit breaker trip mechanism.D. Probabilistic Modeling ofHidden Failures in the circuit breaker trip Mechanism(CBTM) This section presents the probabilistic modeling of hidden failures in the CBTM. For the example substation model shown in Figure 1, which has six circuit breakers, the independent and common mode hidden failure models of the corresponding CBTMs are described below. Independent Hidden Failures of CBTMs Each CBTM can cycle between normal and hidden failure statuses. This process can be modeled as a two-state Markov process with constant transition rates. We assume that the occurrences of such hidden failures are independent with their own failure and repair rates. Two-state Markov models for the six CBTMs (CBTM1 to CBTM6) are shown in Figure 2, in which rX and uX represent failure and repair rates of each CBTM, respectively. Figure 2.Two-state Markov models of CBTMsThe differential equations that govern transitions for each CBTM between the normal and hidden failure statuses are: (1) where px(t)is the row vector that contains normal and hidden failure status probabilities(i.e.,px(t)and qx(t)of each CBTMx,Px(t)Px(t),qx(t) (2)Also,the probabilities of normal and hidden failure statuses for each CBTM satisfy the following condition:Px(t)+q()=1, (3)where opx(t)1 and 0qx(t)1In addition,A is the transition intensity matrix for CBTMX,i.e.,A= KAx Ax (4)L/x-1xiThe initial condition represents a CBTM with the probability of normal status set to one and the probability of hidden failure status set to zero.Px(O)=1 01.The solution to the above differential equations gives the probabilities of normal and hidden failure statuses of eachIf only long-term status probabilities are of interest,the normal and hidden failure status probabilities of each CBTM are expressed as following: For the substation shown in Figure 1, each combination of the operational statuses of six CBTMs constitutes a substation state. The different combinations of CBTM statuses generate a total of 64 (26) substation states in its state space. Part of this state space (states 1 to 16) is shown in Table 1.# 1 2 3 4 5 6 7 8 9 10111213141516CBTM1 X X X X X X CBTM2 X X X X X X CBTM3 X X X CBTM4 X X X CBTM5 X X X CBTM6 X X x X indicates a hidden failure status ofthe CRTM Because we assume that hidden failures of CBTMs are independent, the probability of each substation state can be obtained by multiplying the probability of each CBTM status.For example, for substation state 3 in Table 1, in which CBTM2 is in the hidden failure status, all others are in the normal status, the probability for this substation state is calculated as follows:Pss()一P二二,()。二二z()nP二二() (7)The sum of the substation state probabilities is forced to 1 simply because the total 64 states are mutually exclusive and their union forms the certain event, i.e.,艺Psx (t)一1 (8)k-1Common Mode Hidden Failures of CBTMs The independent hidden failure model of CBTMs prevents considering common mode failures that involve simultaneous hidden failures of two or more CBTMs as the result of a single outage event. For example, a loss of the power resource,which supplies power to two or more trip coils, can cause multiple circuit breakers the enter hidden failure status simultaneously. When considering common mode hidden failures of CBTMs in the substation shown in Figure 1,differential equations that govern the transitions among substation states, initial conditions, and sum of probabilities are given below: (9)Where ps (t) is the row vector of substation state probability,and As is the substation transition intensity matrix. Off-diagonal terms (i, j) of matrix As have the failure/repair rate from state i to state j, and diagonal terms are the negative sum of failure and repair rates of all transitions from the current state to an adjacent state (transition rates found in the same row). The sum of all elements in each row of the transition matrix is zero. The initial state is assumed to be at the state 1 in Table 1, in which every component works in the normal status. The solution to the differential equations gives the probability of each substation states at any instant of time.E. Hidden Failure Effects Analysis Hidden failures in CBTMs can cause the trip of intact equipment following system disturbances, which reduces the system reliability level. In this section, an approach of hidden failure effects analysis for each system substation is proposed to obtain possible hidden failure outages following any initial faults. The proposed hidden failure effects analysis procedure is illustrated by the example substation shown in Figure 1. We assume that the substation is under state 3 as enumerated in Table 1. In state 3, the trip mechanism of circuit breaker 2(CB2) has hidden failure that can cause CB2 fail to open. If an initial fault F1 occurs on transmission line L1 as shown in Figure 1, circuit breakers 1 and 2 should open to isolate the faulty circuit L1 accordingly. Since CB2
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