Ổn định kích thích nhỏ và ứng dụng trên Phần mềm PSSE.NỘI DUNG CHÍNH PHẦN 21 (small signal stability and application of small signal stability): 1. Transient Stability: a. Time Domain Analysis. b. Step wise Integration of Differential Equations. 2. SmallSignal Stability. a. Frequency Domain Analysis. b. Eigen ValueVector Analysis using Linearized Differential Equations Differential Equations
TRANSMISSION & DISTRIBUTION A Division of Global Power POWER SYSTEM STABILITY CALCULATION TRAINING D10 Sll Si l St bilit D ay 10 - S ma ll - Si gna l St a bilit y July17,2013 Prepared by: Peter Anderson eBook for You SMALL SIGNAL STABILITY 2 SMALL - SIGNAL STABILITY Transient Stability: Ti D i A l i Ti me D oma i n A na l ys i s Stepwise Integration of Differential Equations Small-Signal Stability FDiAli F requency D oma i n A na l ys i s Eigen Value/Vector Analysis using Linearized Differential Equations Differential Equations eBook for You APPLICATIONS 3 APPLICATIONS Power System Size I i th h G th i I t ti I ncreas i ng th roug h G row th i n I n t erconnec ti ons Driven by Potential Cost Savings (Economies of Scale, Use of Lowest - cost Generating Units) Scale, Use of Lowest cost Generating Units) Focus on Generation-Not on Transmission Disadvantages Increased Vulnerabilit y y Inter-Area Oscillations System Disintegration/Widespread Blackouts eBook for You EIGEN - VALUE ANALYSIS 4 EIGEN VALUE ANALYSIS Applied to a Linearized Model of the Power System System Importance of the Initial Conditions Small Disturbances Small Disturbances Inter-Area Oscillations Sub synchronous Torsional Interactions Sub - synchronous Torsional Interactions Electro-mechanical Performance in the Low Frequency Range (0 1 to 3Hz) Low Frequency Range (0 . 1 to 3Hz) eBook for You COMPARISON OF APPROACHES 5 COMPARISON OF APPROACHES Approach Advantages Disadvantages Time WideApplicationFields Trial&Error – WideRangeof Domain Disturbances Non‐linearities representedin detail WeaklyDampedModesmaynot beExcitedorObserved Results areFamiliar ModesofDifferent Frequencies/DampingareMixed EvaluationofResults‐Difficult Frequency Domain RevealsRulesbehindSystem Dynamics Non‐linearities notwell repr esented NoneedtoApplyDisturbances LinearizationofCertainElements canbeDifficult IndividualModes areAnalyzed ResultsnotFamiliar Sitin g andTunin g ofDam p in g g g pg Controllers eBook for You NATURE OF MODES 6 NATURE OF MODES Swing Modes AreaofPrimeInterest NeartheImaginaryAxis(0.1to3Hz) DampingFactor>=5%Satisfactory f DampingFactor<3%Unsatis f actory Co n t r o ll e r M odes Co t o e odes Voltage/SpeedRegulators FACTSControllers MonotonouswithStrongDamping Many modesneartheOrigin(Low Damping)areduetoElementswithlong timeconstants‐notanindicationof instability eBook for You SWING MODES 7 SWING MODES Inter-Area Modes FrequencyRange(0.1to0.8Hz) LargeNumberofGenerators GeneratorsinoneAreaswing againstOtherAreas k Wea k Inter‐AreaTieLines LowFrequency/WeakDamping Local Modes FrequencyRange(0.8to3Hz) SmallNumberofGeneratorsinaSmallArea HighFrequency/StrongDamping eBook for You SWING MODES 8 SWING MODES 12 3 eBook for You CONTROLLER MODES 9 CONTROLLER MODES Controller Impact DampingFactor ParticipationFactor Siting Indices(Transfe rFunctionResidues) eBook for You APPLICATION OF THE APPROACH 10 APPLICATION OF THE APPROACH Initial Conditions Steady‐stateLoadFlow OperatingScenarios • Peak Load/Maximum Generation Peak Load/Maximum Generation •MinimumLoad/MinimumGeneration •Maximum/MinimumIntertieTransfers It dit Ld Mi Hd • I n t erme di a t e L oa d ‐ M ax i mum H y d ro •In termedia teLoad‐MaximumThermal •OutageConditions eBook for You [...]... STABILITY eBook for You Mode Overview 18 SMALL-SIGNAL STABILITY eBook for You Mode Overview 19 SMALL-SIGNAL STABILITY eBook for You Mode Overview 20 SMALL-SIGNAL STABILITY eBook for You Mode Overview 21 SMALL-SIGNAL STABILITY A right eigenvector determines the relative activity of its eigenvalue on components of system variables (generator rotor angle, real power and reactive power) Different outputs . You SMALL SIGNAL STABILITY 2 SMALL - SIGNAL STABILITY Transient Stability: Ti D i A l i Ti me D oma i n A na l ys i s Stepwise Integration of Differential Equations Small-Signal Stability FDiAli F requency. You OUTLINE 2 OUTLINE • Small-Signal Stability • NEVA – PSS NETOMAC eBook for You 3 SMALL - SIGNAL STABILITY SMALL - SIGNAL STABILITY eBook for You Modal Analysis 4 SMALL-SIGNAL STABILITY Modal Analysis Exclusively. information Frequencies and damping Frequencies and damping Mode observability and controllability Controller location and tuning eBook for You Modal Analysis 8 SMALL-SIGNAL STABILITY Modal