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ECE 736 Power Systems Stability and Control

3 Credit Hours

Small-signal stability, transient stability, and voltage stability of power systems. Nonlinear and linear dynamic modeling and control of power systems using differential-algebraic models. Design of Power System Stabilizers. Use of Synchrophasors for oscillation monitoring, control, and stability assessment.

Prerequisite

ECE 308: Elements of Control
ECE 451: Power System Analysis

Course Objectives

Upon completion of this course, students will be able to:

  1. Develop linear and nonlinear models of multi-machine power systems
  2. Analyze various types of stability properties of power systems
  3. Model and simulate excitation mechanisms in synchronous machines
  4. Perform modal analysis on power system signals
  5. Identify power system models from dynamic data
  6. Design controllers for transient/angle stabilization and voltage regulation

Course Requirements

Grading Policy:
There will be 7 or 8 homework assignments throughout the semester, a midterm, a term project, and a final exam. The weight for each is as follows:

Homeworks: 20%
Project: 10%
Midterm: 30%
Final Exam: 40%

Homework assignments will be uploaded to the ‘Assignment’ section on the course website. Paper copies of the homework will also be handed out in class. All homework will be due in a week from the day the assignment is handed out. There will be 20% penalty for each session late. Submission will not be accepted if more than two sessions late.

Distance learning students are requested to scan their completed homeworks and email it to the instructor at achakra2@ncsu.edu by the submission deadlines stated on the homework.

Solutions:
Solutions to homework and tests will be uploaded to the Assignment section of the course website.

Software needed: Matlab and Simulink
Other related simulation packages will be provided by the instructor.

Course Outline

  • Review of linear systems, state-space modeling, eigenvalues, linearization
  • Transfer function models, SMIB power system, swing equation, power-angle curves
  • Review of pole-placement and state-feedback controller design
  • Power system stabilizers, lead-lag design
  • Angle stability and equal-area criterion
  • Numerical problems on equal-area criterion, critical clearing time
  • Synchronous machine response to small-signal perturbation
  • Small-signal response of machines with voltage regulator
  • Gain margin, phase margin of SMIB systems
  • Transient stability study of synchronous machines
  • Transient stability study of synchronous machines (continued)
  • Discrete-time models of SMIB power system, Kron reduction
  • Bifurcations in swing models of power systems
  • Midterm Exam
  • Synchronous machine modeling – classical models
  • Synchronous machine modeling (continued)
  • Synchronous machine modeling (continued) – detailed models
  • Simulations using Matlab/Simulink
  • Power system oscillatory modes
  • Modal analysis of test-cases
  • Modal participation factors, local/interarea modes
  • Excitation systems
  • Effect of excitation on transient stability
  • Sensitivity analysis
  • Simulation of excitation models in Matlab/Simulink
  • Parameter identification in swing models
  • Parameter identification (continued)
  • Wide-area monitoring of oscillations using PMUs, test cases
  • Project presentation/Review of topics before final exams

Textbook

P. M. Andersson and A. A. Fouad, Power System Control and Stability, 2nd Edition, Wiley Interscience 2003.

Verified 4/2/2020