**ECE
451: Power Systems Analysis**

NC State University, Fall 2013

__Instructor__: Dr. Aranya Chakrabortty

__Class
hours__**: Tuesday
& Thursday, 8.05 am- 9.20 am, EB II 1229**

__Office
hours__**: Monday
3pm- 5 pm, Keystone 100-26.**

__Textbook__**: Power Systems Analysis, Grainger &
Stevenson, McGraw Hill**

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__Syllabus:__** click
here**

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__Lecture notes__

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**Introductory lecture presentation**

**Lecture notes 1****: **Review
of fundamentals I

**Lecture notes 2****: **Review
of fundamentals II, phasor diagrams for balanced 3-phase AC circuits

**Lecture notes 3****: **Single-phase
AC transformers, phasor diagrams

**Lecture notes 4****: **Equivalent
circuit of 1-phase transformer, SP & PS circuit diagrams

**Lecture notes 5****: **Numerical
problems on SP circuits, 3-phase transformers

**Lecture notes 6****: **3-phase
transformers (cont’d), Scott transformer, Autotransformer

**Lecture notes 7:**** **Transformers
with Unbalanced load, all
possible star-delta-load combinations

**Lecture notes 8:**** **Synchronous
generators, equivalent circuits

**Lecture notes 9****: **Constant
active power locus of a sync gen, Introduction to Network Admittance matrix

**Lecture notes 10****: **Admittance matrix calculation

**Lecture
notes 11: **Incidence
matrix and admittance matrix

**Lecture notes 12****: **Gaussian elimination, Matlab code

**Lecture notes 13****: **Kron reduction of admittance matrix, numerical problems

**Lecture notes 14****: **Power flow analysis

**Lecture notes 15****: **Gauss-Siedel algorithm, PV and PQ buses

**Lecture notes 16****: **Newton Raphson method

**Lecture notes 17****: **NR algorithm for PV buses, Matlab code for 3-bus system,
Matlab for 4-bus example,
solutions to numerical
problems

**Lecture notes 18****: **Fast decoupled load flow

**Lecture notes 19****: **Symmetrical Components, Fortesque’s theorem

**Lecture notes 20****: **Single-line to ground faults

**Lecture notes 21****: **Line-line faults, Double line to ground faults

**Lecture notes 22****: **Symmetrical faults, fault current from Z-bus

**Lecture notes 23****: **Fault calculations

**Lecture notes 24****: **Economic Dispatch

**Lecture notes 25: **Unit
commitment, constrained optimization, numerical problems

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**Guest
lecture on Load Flow: **John
O’ Connor, Duke Energy Progress

__Sample Problems on Y-bus__**: **problem set, solutions

__Sample Problems on Faults__**: **problem set

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__Copyright:__** **The above course materials are part of
an undergraduate course offered at the Electrical & Computer Engineering
department of NC State University, and therefore, are copyrighted. Any direct
use or reproduction of these materials, whether in hard copy or online displays,
must display this copyright on the first page.

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