ECE 530:  Analysis Techniques of Large-Scale Electrical Systems

Fall 2009

 

Professor G. Gross

244-1228

e-mail:  gross@illinois.edu

 

 

Time:               11:00 a.m. – 12:20 p.m. Tuesdays, Thursdays, 260 Everitt Lab

 

Credit:             4 hours, course work includes homework assignments (20 %), a project (15 %), a midterm exam (25 %)and a final exam (40 %).

 

Office Hours:  1:30 – 2:30 p.m.  Tuesdays, Thursdays, 339 Everitt Lab

 

Prerequisite:   ECE 476, ECE 464, or consent of the instructor

 

Text Books:     Lecture notes provided by the instructor

                                     

Grading:          Based on the homework assignments, the presentation, the midterm exam and the final exam.

 

Course Syllabus

 

1. Analysis of nonlinear electrical systems:  structural characteristics, large-scale nature and computational requirements

 

2. Data issues in large systems: sparsity; storage; and, management including visualization

 

3. Static system analysis:solution of large algebraic systems; effective  application of sparsity; parallelization; decomposition

 

4. Modal analysis of large sparse systems: computation of dominant eigenvalues and eigenvectors; Krylov subspace applications

 

5. Nonlinear parameter estimation in electrical systems: least-squares techniques

 

6. Optimization application in static analysis: formulation of objective functions; representation of constraints; solution approaches

 

7. Modeling for dynamic analysis: hybrid system representation; application of averaging techniques; time scale decoupling; model order reduction

 

8. Magnetostatic problem solutions:  application of finite element methods

 

9. Dynamic performance analysis: solution of differential-algebraic systems; solution of stiff systems; accuracy and numerical stability issues

 

 

Final exam is scheduled for Thursday, December 17, 2009, 1:30–4:30 p.m.