40220442 (Power System Stability and Control)

Course Name: Power System Stability and Control

Course Number: 40220442

Program: Undergraduate program

Type: Optional

Credits: 2

Term Offered: Spring

Prerequisite(s): Linear Algebra, Differential Equations, Power System Analysis

Instructor(s): Yong Min, Yiwei Zhang


Yong Min, Power System Stability, preview version, in Chinese


IEEE/CIGRE Joint Task Force on Stability Terms and Definitions. Definition and classification of power system stability. IEEE Transactions on Power Systems, 19(3):1387–1401, Aug. 2004.

P. M. Anderson, A. A. Fouad, Power System Control and Stability. John Wiley & Sons Inc. (Chinese Version in 1979)

P. Kundur, Power System Stability and Control. McGraw-Hill, 1994 (Chinese Version in 2002)

M. A. Pai. Power System Stability: Analysis by the Direct Method of Lyapunov. North-Holland Publishing Company, 1981.

Course Description:

The course is about the concepts, analysis methods, algorithms and controls of steady-state stability, large disturbance angle stability, voltage stability and frequency stability of power systems. It also contains a brief introduction of the theory of direct methods for stability analysis of power systems.

Course Objectives and Outcomes:

Numbers in brackets are linked to department educational outcomes

1.Students should be familiar with the dynamic models of power system elements, such as generators (including exciters and governors), transformers, transmission lines and loads. [5]

2.Students should be familiar with the phenomena, basic concepts and analysis methods of power system stability. [1,5,11]

3.Students should understand the principle of the common used power system stability control measures. [5,10]

4.Students should get used to dealing with the problems in a dynamic system viewpoint. [1,9]

Course Topics:

1.Introduction to current status of power system in China and power system stability problems.

2.Models of generators, exciters, governors, power grids and loads (motor and ZIP load), including typical values of parameters if necessary.

3.Definition and analysis mothods of power system steady-state stability in one-machine-to-infinite system. dP/dδ criterion.

4.Eigenvalue analysis in two-machine system and multi-machine system.

5.Steady-state stability analysis with K coefficient generator model and introduction to PSS.

6.Damping coefficient and its effect. Phenomena, analysis method and control of low frequency oscillations.

7.Definition and analysis methods of power system transient stability in one-machine-to-infinite system. Equal area criterion.

8.Calculation of transient stability of multi-machine power systems.

9.Liapunov’s definitions of stability.

10.Concepts of (un)stable equilibrium point, (un)stable manifold, stability region and stability boundary

11.Energy function (vs. Liapunov function).

12.Brief introduction to PEBS, BCU method.

13.Introduction to voltage stability. Famous voltage collapse events in the world.

14.Analysis of voltage stability in one-machine-to-load model. dQ/dV criterion. PV curve.

15.Eigenvalue analysis of voltage stability in multi-machine system.

16.Current status of the research of voltage stability.

17.Definition and analysis method of frequency stability in single machine model.

18.Control measures of frequency stability. Under frequency load shedding.

Course Assessment:

Homework measures, 20 points.

A technical report using the contept and/or method of dynamical system stability theory, 80 points.