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ENE 4009 Spring 2025
Power System Stability & Control

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Lecture: MW 3:30 -- 4:50 PM, TC 314

TA Session: T 8:00 -- 8:50 PM, TC 112

Professor: Yan Jiang

:00-3:00, Hackerman 117

Teaching Assistant: Weimin Wu

Lecture 1

Intro to Power System Stability

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Lecture 2

Modeling & Linearization of Dynamic Systems

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Lecture 3

Similarity Transformation of State-Space Model

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Lecture 4

Diagonalization of  State Matrix

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Lecture 5

Lyapunov Direct Method

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Lecture 6

Lyapunov Direct Method (Continued) 

—Proof of Lyapunov Stability Criterion

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Lecture 7

Lyapunov Indirect Method

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Lecture 8

Single Machine Infinite Bus (SMIB) System

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Lecture 9

Swing Equation

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Lecture 10

Power-Angle Curve of a SMIB System
(Simple Case)

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Lecture 11

Power-Angle Curve of a SMIB System

(General Case: Consider Shunt Impedance & Network Resistance)

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Lecture 12

Transient Stability of a SMIB System

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Lecture 13

Understanding Sequence of Events When a Fault Occurs in a SMIB System via Pre/In/Post-Fault Power-Angle Curves

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Lecture 14

Equal Area Criterion

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Lecture 15

Computation of Critical Fault Clearing Angle

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Lecture 16

Mutli-Machine Power Systems

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Lecture 17

Definition and Properties of Laplacian Matrix

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Lecture 18

Laplacian in Physical Networks

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Lecture 19

Spectrum of Laplacian Matrix

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Lecture 20

Spectrum of Swing Model in Multi-Machine Power Systems

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Lecture 21

From State-Spate Model to Transfer Function

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Lecture 22

Impulse Response of Multi-Machine Model

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Lecture 23

Multi-Machine Model in Center-of-Inertia Coordinates

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