2nd course in the Modeling and Control of Power Electronics

Instructor: Dragan Maksimovic, Ph.D., Professor

After completion of this course, you will gain advanced analytical skills that will enable you to quickly gain insights into converter models and translate these insights into converter designs.

Prior knowledge needed: ECEA 5700 Introduction to Power Electronics, ECEA 5701 Converter Circuits, ECEA 5702 Converter Control, ECEA 5703 Magnetics Design, ECEA 5705 Averaged Switch Modeling and Simulation

### Syllabus

Duration: 4 hours

In this module, we introduce the Middlebrook's Extra Element Theorem (EET) and through examples show how this approach can be used to simplify circuit analysis, examine effects of initially unmodeled components, and derive analytical insights into how to modify and improve converter frequency responses. Practical examples include design-oriented analysis of filter frequency responses, effects of equivalent series resistance, and insights gained from the graphical view of impedance interactions. Week 1 includes application examples and practice Quizzes and concludes with a graded Quiz on Extra Element Theorem.

Duration: 4 hours

In this module, the Extra Element Theorem is applied to the design-oriented analysis of frequency responses of higher-order converters such as SEPIC, Cuk, or basic converters with additional filters. It is shown how undesirable resonances can be properly damped based on insights offered by the Extra Element Theorem. A SEPIC design example is worked out in detail, including the design of a damping network. The design example is supported by a MATLAB script and Spice simulations. Week 2 includes practice Quizzes and concludes with a graded Quiz on the application of the Extra Element Theorem.

Duration: 5 hours

In this module, we introduce the N-Extra-Element-Theorem. This design-oriented analysis technique allows writing complex transfer functions using a series of simple circuit analysis with minimum algebra. The approach is applied to the analysis of complex filter and converter transfer functions. Week 3 includes application examples and practice Quizzes, as well as a graded Quiz on applications of the N-Extra Element Theorem.

Duration: 2 hours

Final Exam for this course.

##### Percentage of Grade
Segment 1 Quiz: Extra Element Theorem (EET) 15%
Segment 2 Quiz: Cuk Converter Frequency Responses using EET 15%
Segment 3 Quiz: Boost Analysis using the N Extra Element Theorem (N-EET) 15%
Practice Exam 10%

ECEA 5706 Techniques of Design-Oriented Analysis Final Exam

45%

A

92%

A-

90%

B+

88%

B

82%

B-

80%

C+

78%

C

72%

C-

70%

D+

68%

D

56%

F

0%