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電力系統暫態分析.ppt

'電力系統暫態分析.ppt'
Negative Side: Direct MethodIntroductionsDefinition : Use Power System Transient Characteristics Function To Describe Or Analyze The Power System Transient StabilityFirst Introduced In The 1950sThanks To Athay And Kakimoto’s Work, The Direct Method Got Rapid Development.ClassificationsClassical ModelDirect MethodComplex ModelEnergy Function MethodTSEFAcceleration MethodRVEPPSEFLyapnoy Function MethodPEBSIMEFEEACTSDLyapnoy Function Method:Deng DashangPotential Energy Boundary Surface (PEBS) :Jiang TengIndividual Machine Energy Function(IMEF) : Fang LueExtended Equal-area Criterion(EEAC) : Jing TianApplications : Muhammad HamidConclusion : Huang YupengAn Analogy Of Rolling Ball Model Rolling ball model pointsThe area inside the ball represents the stability region and the outside represents the instability region.Initially the ball is resting at the bottom of the bowl , the state is referred to as stable equilibrium point(SEP). When kinetic energy is injected to the ball , the ball will roll up inside the surface of the bowl.The point where the ball will stop is governed by the amount of kinetic energy initially injected. If the ball converts all its kinetic energy into potential energy before reaching the rim, then it will roll back and eventually settle down at the stable equilibrium point again.If the kinetic energy is high enough to cause the ball to go over the rim,the ball will enter the region of instability.Application to power sysytem: The basis for the application of the TEF(Transient Energy Function) method to the analysis of power system stability is conceptually similar to that for a ball rolling in a bowl. Initially the system is operating at a stable equilibrium point. If a fault occurs, the equilibrium is disturbed and the synchronous machines accelerate. The power system gains kinetic and potential energy during fault-on period and the system moves away from the SEP. After fault cleared, the kinetic energy is converted into potential energy in the same manner as the ball rolling up the potential energy surface.To avoid instability, the system must be capable of absorbing the kinetic energy at a time when the forceson the generators tend to bring them toward new equilibrium positions.This depends on the potential energy-absorbing capability of the post-disturbance system.For a given postdisturbance network configuration, there is a maximum or critical amount of transient energy that the system can absorb. Consequently, assessment of transient stability requires:(a) Functions that adequately describe the transient energy responsible for separation of one or more synchronous machines from the rest of the system(b) An estimate of the critical energy required for the machines to lose synchronism. The steps for Lyapunov function method:1) Define energy function;2) Determine critical energy;3) Comparing the energy at fault clearing and critical energy to judge the sy。省略部分。icate: convert  Stableconvert  Unstable Overall system energy functionLess conservative stability results when using individual machine energy. Extended Equal-area CriterionAll Your Works Are Based On My Theory!!!LyapunovExtended Equal-area CriterionTransient energy function have some troubles.Redefine the stability margin.Using computer technology, find the intercross with SBS.Decouple the observe space into One Machine to Infinite Bus(OMIB).TransformTo map the two-machine system into the OMIB system, we further more do the RM transform:Where,Thus, we get the integral space and the observe space separeted.Advantages of the EEACThe unique critical proved method, and the unique quantitative analysis method. Sensitivity analysis can help for the estimation of the stable limit.Early termination of the integration.Support high speed and huge amount of information.Application Of Transient Energy FunctionThe surface inside the bowl represent the potential energy surface, and the rim of the bowl represents the potential energy boundry surface (PEBS)Two quantites are required to determine if the ball will enter the instability region.The initial kinetic energy injected and the height of the rim at the crossing point ROLLING BALL ANALOGY APPLICATION IN POWER SYSTEM TEF IS EQUIVALENT TO EQUAL AREA CRITERIA Show two plots , both having a rotor angle as the ordinate .the lower plot illusrate the transient energy method which can be used to specify in Terms of potential and kinetic energy. Region of stability and its local approximation The kinetic energy gained during the fault on period is added to the potential energy at the corresponding rotor angle , and the sum is compared to critical potential energy to determine stability The state of the system at fault claearing can be describe by the value of the energy function evaluted at hence the direct method solves the stability problem by Comparing to Vcr critical energy This is consistent to the directmethod DIRECT METHOD ANALYSIS OF A SINGLE MACHINE INFINITE BUS (SMIB) SYSTEM REFERENCES Power System Stability and Control: Prabha KunduP.C MAGNUSSON , “TRANSIENT ENERGY METHOD OF CALCULATING STABILITY” AIEEE Trans, vol. 66, pp 747-755,1947Power system transient sytability analysis using transient energy function A.A fouad / vijay vittal Thank you!ConclusionsProblems Of Numerical Integration Method:Long Computing TimeNot Provide Stability Quantitative IndexDifficult To Online CalculationAdvantages:Sensitivity analysisQuantitative Analysis Of The Degree Of StabilitySpeedSoftware: DIRECT,IPEBS,IC-PEBS,EEACReal Time ControlProspectOnline Dynamic Security AnalysisStability Control: Prediction Of Generators’ Out Of SynchronismCutting load systemOperation Planning:Check relay protection setting timeSystem Planning:Critical energy can reflect Grid architecture Mix with Numerical Integration MethodThanks For Your Attention!
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分析 暫態 電力 系統
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