PEE104
POWER SYSTEM DYNAMICS AND STABILITY 


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Prerequisite(s): None 
SingleMachine Dynamic Models: Introduction, Terminal Constraints, The multitimescale method, Elimination of stator/network transients, The twoaxis model, The oneaxis model, The classical model, Damping torques,
Synchronous machine saturation.
MultiMachine Dynamic
Models: The synchronously rotating
reference frame, Network and RL load constraints, Elimination of stator/network transients, Multimachine twoaxis model, Multimachine fluxdecay model, Multimachine classical model, Multimachine damping torques, Multimachine models with saturation, Frequency during
transients.
MultiMachine Simulation: Differentialalgebraic methods, Stator Algebraic Equations: Polar form, Rectangular
form, Alternate form of stator algebraic equations, Network Equations: Powerbalance form, Currentbalance form, Industry model, Simplification of Twoaxis model, Full model, Numerical solution of powerbalance form: SI method, PE method, Numerical solution
of currentbalance form, Reducedorder multimachine models: Fluxdecay model, Structurepreserving classical model, Internalnode model.
Stability: Review of Angular Stability, Transient stability,
Steady state stability, Dynamic stability.
Voltage stability: Introduction, Active/Reactive power flow
transmission using elementary models, Difficulties with reactive power
transmission, Classification, methods of analysis, Voltage collapse, Factors
affecting Voltage stability, Transient voltage stability, Longterm
voltage instability and its prevention, Comparison of rotor angle stability and
voltage stability, (PV) curves (nose curves), Methods of analysis: Dynamic and Static
analysis, Modelling requirements for voltage
stability.
SmallSignal Stability: Introduction, Basic linearization technique: Linearization of
Model A, Linearization of Model B, Participation factors, Studies on
parametric effects: Effect of loading, Effect of K_{A}, Effect of type
of load, Hopf bifurcation, Electromechanical
oscillatory modes, Power system stabilizers: Basic approach, Derivation of K1K6 constants, Synchronizing and damping torques, Power
system stabilizer design.
Energy function methods: Introduction, Physical and mathematical aspects, Lyapunov’s method, Modelling
issues, Energy function formulation, Potential energy boundary surface (PEBS),
Energy function for singlemachine infinitebus system, Equalarea criteria and energy function, Multimachine PEBS.
Laboratory Work: Power flow analysis: Gauss–Seidel, NewtonRaphson methods, Fast decoupled powerflow
and Continuation powerflow analysis, Small signal stability analysis: SMIB
and Multi machine configuration, Transient stability analysis of Multi–machine
configuration, Effect of loading, Effect of K_{A}, Effect of type of
load, Hopf bifurcation, Energy function for singlemachine infinitebus system, Equalarea criteria and energy function, Multimachine PEBS.
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