Carnegie Mellon University

Electrical and Computer Engineering

College of Engineering

Course Information

18-762: Circuit Simulation and Optimization Methods: A Power Systems Perspective




This course explores the models, numerical methods and algorithms that use circuit-theoretic techniques to simulate and optimize physical systems. Power systems will be the choice of physical system used in this course. The course begins with coverage of fundamentals of a) power grid analyses and b) circuit-theory that can be used to represent the physical grid. This is followed by coverage of formulation and solution methodologies for various critical power grid analyses. First, you will learn how to construct time-domain models and perform time-domain analyses for power grid equipment. Next, you will explore the parallels between time-domain analyses of circuits and how the same numerical integration-based methodology can be used to solve the time-domain power grid problems. The latter part of the course will cover frequency domain analyses for power systems; namely, power flow and three-phase power flow. These analyses will include power systems with responses that contain harmonics, which are becoming increasingly important with the introduction of power electronics. Finally, the course will conclude with the use of circuit methods for optimization of power systems. State-estimation and optimal power flow examples will be used for describing circuit-theoretic optimization framework. Special topic lectures will also consider how these methods can be applied to other physical system-based problems.

The coursework will include three (3) projects that are closely coupled to the three sections in the course description.

Last Modified: 2021-12-06 12:47PM

Semesters offered:

  • Spring 2022
  • Spring 2020
  • Spring 2019
  • Fall 2016
  • Spring 2012
  • Spring 2010
  • Spring 2009
  • Spring 2007
  • Spring 2004
  • Spring 2003
  • Fall 2000
  • Fall 1999