Course Objectives:

1.      To explain the concept of dynamic model of synchronous machine.

2.      To study the multi-machine simulation of dynamic models.

3.      To impart knowledge about the concepts of the small signal stability.

4.       To investigate the physical and mathematical aspect of energy function methods.

5.      To discuss the concept of voltage stability and sensitivity analysis.


Dynamic Model of synchronous machine:  Concept of synchronously rotating reference frame, two-axis model, Elimination of stator/network transients, one-axis model (flux-decay model), steady state equivalent from dynamic model, electromagnetic and damping torque, accounting the effect of main flux and cross flux saturation, Frequency during transients.


Multi-Machine Simulation: Development of multi-machine dynamic models, Stator Algebraic Equations, Network Equations, Simplification of Two-axis model, Reduced-order multi-machine models: Flux-decay model, Structure-preserving classical model, Internal-node model, Numerical solution of multi-machine dynamic model.


Small-Signal Stability: Introduction, linearization techniques, Participation factors, Studies on parametric effects: Effect of loading, Effect of gain constants and 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, Modeling 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.


Voltage Stability: Concept of active/reactive power flow transmission using elementary models, Difficulties with reactive power transmission, concept of PV and QV curves, Numerical bifurcation techniques, Detection of bifurcation point, continuation power flow, sensitivity analysis for voltage stability.


Minor Project (if any): Simulation studies of Dynamic and Transient stability analysis, Simulation of sensitivity analysis of voltage stability of Synchronous machine.


Course Learning Outcomes (CLO):

On the completion of the course the student may be able t

1.      To develop the dynamic model of synchronous machine

2.      To simulate multi-machine dynamic model

3.      To understand the concepts of small signal stability.

4.      To Investigate the various aspects of energy function methods.

5.      To Carry out the sensitivity analysis of the power system.


Recommended Books:

1.      Annderson, 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 & Stability, Pearson Education (2005).

5.      Taylor, C.W., Power System Voltage Stability, McGraw-Hill (2003).

6.      Ajjarapu V., Computational techniques for voltage stability assessment and control, Springer Int. ed., (2009)