Syllabus

Instructor: Alejandro D. Domínguez-García, aledan {AT} ILLINOIS.EDU, (217) 333-3953.

Office Hours: Wednesday, 1:00 p.m. – 2:00 p.m., 4044 ECEB, or by appointment.

TA: Abhiroop Chattopadhyay, ac33 {AT} ILLINOIS.EDU.

Office Hours: Thursday, 2:00 p.m. – 4:00 p.m., ECEB 4034.

Course Text: A. D. Domínguez-García, Large-Scale System Analysis Under Uncertainty: With Electric Power Applications, Cambridge University Press, 2022. A pdf of the book can be obtained here (use your U of I login credentials if you are not connected to the campus network)

Discussion: Use the class Piazza page, located here, to submit administrative and technical questions.

Prerequisites: ECE 313: Probability with Engineering Applications, and ECE 515: Control System Theory and Design, or permission of instructor.

Topics Approx. # of hours
Introduction: system models; sources of uncertainty and impact on system performance;  application examples. 1.5
Review of basic concepts: probability and stochastic process; set-theory;  linear dynamical systems. 4.5
Analysis of static systems under probabilistic input uncertainty: moment characterization; distribution characterization; application to power flow analysis. 6.5
Analysis of static system under probabilistic structural uncertainty: Markov modeling; application to reliability analysis. 7
Analysis of dynamical systems under probabilistic input uncertainty: moment characterization; distribution characterization; application to microgrid performance analysis. 8
Analysis of static systems under set-theoretic input uncertainty: ellipsoidal-based input set; zonotope-based input set; application to power flow analysis. 6.5
Analysis of dynamical systems under set-theoretic-input uncertainty: ellipsoidal-based input set; application to microgrid performance analysis. 8
Final review 1.5

Homework: It will be posted, submitted, and graded via Gradescope.

Evaluation: