# ECE 6613 PD: Power System Analysis and Control

Instructor:

Claudio A. Cañizares
Cell:     (519) 498-5944 (TBD)
Office:  EIT-4168, (519) 888-4567 ext. 35355
e-mail:  ccanizares@uwaterloo.ca

URL:  www.power.uwaterloo.ca

TA:

TBD

Office:

Phone:

e-mails:

Office hours:

Lectures:    TBD.

## Objectives

• Understand the basic definitions, concepts, and controls associated with short circuit, power flow, and stability of power systems.
• Discuss in detail techniques and tools for power system analysis and their application, with a practical perspective.

## Content

No. Of Weeks Topics Sub-Topics

6

Review

• Basic power system elements and models:
• Generators.
• Transmission systems.
• FACTS.
• Wind and solar energy generation.

3

Power Flow
Analysis

• System model.
• Equations.
• Solution techniques:
• Newton-Raphson.
• Fast decoupled.
• Optimization.
• Contingency analysis.

3

Short Circuit
Analysis

• System model.
• Faults:
• 3-phase.
• Single-phase-to-ground.
• Two-phase.
• Two-phase-to-ground.
• Matrix analysis.

4

Basic Stability
Concepts

• Nonlinear systems:
• Ordinary Differential Equations (ODE).
• Differential Algebraic Equations (DAE).
• Equilibrium points:
• Definition.
• Linearization.
• Eigen analysis.
• Stability regions.

10

Voltage Stability and Control

• Definitions.
• Voltage collapse (long-term):
• Basic concepts.
• Tools: Continuation power flows; direct methods; indices.
• Control and protection: Compensation; secondary voltage regulation; under-voltage relays.
• System security and transmission congestion.
• Real blackout analysis.
• Voltage regulation (short-term):
• Basic concepts.
• Fault-Induced Delayed Voltage Recovery (FIDVR).
• Real blackout analysis.

4

Small-perturbation Stability and Control

• Definitions and basic concepts.
• Tools: Eigenvalue analysis.
• Control and protection:
• PSSS.
• FACTS.
• Real blackout analysis.

4

Transient Stability and  Control

• Definitions and basic concepts.
• Tools:
• Time domain analysis.
• Direct methods (energy functions and equal area criterion).
• Real blackout analysis.

2

Frequency Stability and Control

• Definitions and basic concepts.
• Control and protection:
• Primary and secondary frequency regulation.
• Automatic Generation Control (AGC).
• Under-frequency relays.
• Real blackout analysis.

## Recommended text

A. Gómez-Expósito, A. J. Conejo and C. A. Cañizares, Editors, Electric Energy Systems: Analysis and Operation, 2nd edition, CRC Press, June 2018, ISBN 9781315192246.

## Other references

1. A. R. Bergen and V. Vittal, Power systems analysis, Second Edition, Prentice-Hall, 2000.
2. J. Arrillaga and C. P. Arnold, Computer analysis of power systems, John Wiley, 1990.
3. P. Kundur, Power System Stability and Control, McGraw-Hill, 1994, ISBN 0-07-035958-X.
4. P. M. Anderson and A. A. Fouad, Power system control and stability, IEEE Press, 1994.
5. C. A. Cañizares, Editor, “Voltage stability assessment: concepts, practices and tools,” IEEE-PES Power System Stability Subcommittee Special Publication, SP101PSS, May 2003.
6. Journal papers and technical reports (available on-line).
7. Course notes available at course website.

## Requisites:

Basic knowledge of power systems and modeling is required.  Some basic familiarity with MATLAB is required.

## Projects:

1. Power flow and short circuit analysis of the IEEE 14-bus test system using PSAT and MATLAB.
2. Stability analysis of the IEEE 14-bus test system using PSAT.

## MT Assignment:

Based on problems presented and discussed during lectures regarding the various topics discussed in class during the first half of the term.  Some problems will require the use of MATLAB and PSAT.

## Marking:

Projects (2)          40 %            TBA
MT Assignment      10 %            TBA
Final Exam            50 %            Date, time, and location TBD