Single-Machine Dynamic Models: Introduction, Terminal Constraints, The multi-time-scale method, Elimination of stator/network transients, The two-axis model, The one-axis model, The classical model, Damping torques, Synchronous machine saturation.

 

Multi-Machine  Dynamic Models: The synchronously rotating reference frame, Network and R-L load constraints, Elimination of stator/network transients, Multi-machine two-axis model, Multi-machine flux-decay model, Multi-machine classical model, Multi-machine damping torques, Multi-machine models with saturation, Frequency during transients.

 

Multi-Machine Simulation: Differential-algebraic methods, Stator Algebraic Equations: Polar form, Rectangular form, Alternate form of stator algebraic equations, Network Equations: Power-balance form, Current-balance form, Industry model, Simplification of Two-axis model, Full model, Numerical solution of power-balance form: SI method, PE method, Numerical solution of current-balance form, Reduced-order multi-machine models: Flux-decay model, Structure-preserving classical model, Internal-node 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, Long-term voltage instability and its prevention, Comparison of rotor angle stability and voltage stability, (P-V) curves (nose curves), Methods of analysis: Dynamic and Static analysis, Modelling requirements for voltage stability.

 

Small-Signal 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 K1-K6 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 single-machine infinite-bus system, Equal-area criteria and energy function, Multi-machine PEBS.

 

Laboratory Work: Power flow analysis: Gauss–Seidel, Newton-Raphson methods, Fast decoupled power-flow and Continuation power-flow 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 single-machine infinite-bus system, Equal-area criteria and energy function, Multi-machine PEBS.

 

 

 

 

Recommended Books

1. Anderson, P.M. and Foud, A. A., Power System Control and Stability, IEEE Computer Society Press (2002).
2. Kimbark, E., Power System Stability, Vol. I, II & III, IEEE Computer Society Press (2004).
3. Kundur, P., Power System Stability and Control, McGraw-Hill (2006).
4. Sauer, P.W. and Pai, M.A., Power System Dynamics and Stability, Pearson Education (2005).
5. Taylor, C.W., Power System Voltage Stability, McGraw-Hill (2003).