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


Syllabus: click here


Lecture notes


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


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



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.