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Dr. Dragan Maksimovic

This course can also be taken for academic credit as ECEA 5706, part of CU Boulder’s Master of Science in Electrical Engineering degree.

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This course can also be taken for academic credit as ECEA 5706, part of CU Boulder’s Master of Science in Electrical Engineering degree.

This is Course #2 in the Modeling and Control of Power Electronics course sequence. The course is focused on techniques of design-oriented analysis that allow you to quickly gain insights into models of switching power converters and to translate these insights into practical converter designs. The design-oriented techniques covered are the Extra Element Theorem and the N-Extra Element Theorem (N-EET). Through practical examples, it is shown how the EET can be used to simplify circuit analysis, to examine the effects of initially unmodeled components, and to design damping of converters such as SEPIC and Cuk to achieve high-performance closed-loop controls. The N-EET will allow you to perform circuit analysis and to derive circuit responses with minimum algebra. Modeling and design examples are supported by design-oriented MATLAB script and Spice simulations. After completion of this course, the student will gain analytical skills applicable to the design of high-performance closed-loop controlled switching power converters.

We strongly recommend students complete the CU Boulder Power Electronics specialization as well as Course #1 Averaged-Switch Modeling and Simulation before enrolling in this course (the course numbers provided below are for students in the CU Boulder's MS-EE program):

● Introduction to Power Electronics (ECEA 5700)

● Converter Circuits (ECEA 5701)

● Converter Control (ECEA 5702)

● Averaged-Switch Modeling and Simulation (ECEA 5705)

After completing this course, you will be able to:

● Understand statement and derivation of the Extra Element Theorem

● Apply the Extra Element Theorem to converter analysis and design problems

● Understand the statement of the N-Extra Element Theorem

● Apply the N-Extra Element Theorem to converter analysis and design problems

● Apply techniques of design-oriented analysis to analysis, design, and simulations of switching converters

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What's inside

Syllabus

Extra Element Theorem
Introduction to Extra Element Theorem: statement, derivation, and application examples
Design example: SEPIC frequency responses
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Read about what's good
what should give you pause
and possible dealbreakers
Builds a strong foundation for beginners in design-oriented analysis
Develops analytical skills applicable to the design of high-performance closed-loop controlled switching power converters
Introduces and applies Extra Element Theorem for circuit analysis and design
Introduces and applies Extra Element Theorem for converter design problems
Requires completion of previous courses in the specialization

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Reviews summary

In-depth design analysis for power electronics

According to students, this course offers profound insights into design-oriented analysis techniques for power converters, particularly the Extra Element Theorem and N-Extra Element Theorem. Learners frequently praise the clarity of the instructor's explanations and the practical application of concepts through MATLAB scripts and Spice simulations. While it is a highly rewarding experience for those seeking to develop advanced analytical skills, a significant portion of reviewers note that the course has very high prerequisite demands, making it potentially challenging for learners without a robust background in power electronics.
MATLAB and Spice simulations enhance understanding.
"...the practical applications using MATLAB scripts were incredibly useful."
"The simulations were a good practical component."
"The simulations really helped to visualize the concepts, bridging theory and practice."
Instructor explains complex topics with great clarity.
"His explanations of the EET and its application to SEPIC/Cuk converters were crystal clear."
"The Extra Element Theorem was explained with such clarity, and the practical applications..."
"I found the instructor's insights invaluable for understanding the core concepts."
Very challenging but ultimately provides valuable skills.
"Very challenging but rewarding. The N-EET section really helped simplify complex circuit analysis..."
"The homework assignments were tough but fair and really solidified the concepts."
"This course requires significant dedication and self-study beyond the lectures, but it's worth it."
Offers profound insights and practical application.
"This course significantly deepened my understanding of power electronics. The Extra Element Theorem was explained with such clarity..."
"It truly is a design-oriented analysis course, focusing on real-world problems."
"This course provided practical frameworks like the Extra Element Theorem that I could immediately apply."
Requires a very strong foundational knowledge.
"Content is good, but I struggled with the pace and the prerequisites. While it says 'strongly recommend,' I felt 'required' would be more accurate."
"I found this course extremely difficult to follow. The reliance on prior knowledge was too high..."
"If your background isn't precisely what they expect, you'll find it very difficult."

Activities

Be better prepared before your course. Deepen your understanding during and after it. Supplement your coursework and achieve mastery of the topics covered in Techniques of Design-Oriented Analysis with these activities:
Review Averaged-Switch Modeling
Primes students with the necessary background knowledge in Averaged-Switch Modeling, which is essential for understanding EET and NEET.
Browse courses on Averaged-Switch Modeling
Show steps
  • Review the materials from the prerequisite course on Averaged-Switch Modeling.
  • Go through practice problems or simulations related to averaged-switch modeling.
Power Electronics: Converters, Applications, and Design
Complements the course material by providing a comprehensive overview of power electronics converters, their applications, and design principles.
View Power Electronics on Amazon
Show steps
Extra Element Theorem Tutorial
Provides a clear and concise overview of the Extra Element Theorem, its statement, derivation, and application examples.
Show steps
  • Review the provided materials on the Extra Element Theorem.
  • Work through the provided examples and exercises.
  • Apply the Extra Element Theorem to analyze and design simple converter circuits.
Five other activities
Expand to see all activities and additional details
Show all eight activities
Study Group on NEET
Provides an opportunity to discuss, clarify, and reinforce the concepts of the N-Extra Element Theorem with peers.
Show steps
  • Form a study group with classmates.
  • Meet regularly to discuss the course material, work through problems, and share insights on NEET.
EET and N-EET Practice Problems
Reinforces understanding and application of the Extra Element Theorem (EET) and N-Extra Element Theorem (N-EET).
Show steps
  • Solve practice problems involving the analysis and design of converter circuits using EET.
  • Solve practice problems involving the analysis and design of converter circuits using N-EET.
Power Electronics Design Workshop
Provides an immersive learning experience through hands-on activities and expert guidance, reinforcing the concepts of EET and NEET.
Browse courses on Power Electronics
Show steps
  • Attend a power electronics design workshop.
  • Participate in interactive demonstrations and exercises.
  • Consult with experts in the field.
Design Spreadsheet with EET
Develops practical skills in applying the Extra Element Theorem for converter design by creating a spreadsheet tool.
Show steps
  • Create a spreadsheet that implements the Extra Element Theorem for converter analysis and design.
  • Use the spreadsheet to design a converter circuit with specified performance requirements.
Buck Converter Design Project
Integrates concepts of EET and NEET in a practical design project, allowing students to apply their knowledge to a real-world scenario.
Browse courses on Power Electronics
Show steps
  • Define the specifications for a buck converter.
  • Design the buck converter circuit using EET and NEET.
  • Simulate the designed circuit to validate its performance.
  • Build and test a prototype of the buck converter.
  • Analyze the performance of the built prototype and make necessary adjustments.

Career center

Learners who complete Techniques of Design-Oriented Analysis will develop knowledge and skills that may be useful to these careers:
Power Electronics Engineer
Power Electronics Engineers design, develop, and test power electronic systems, including switching power converters. This course provides a strong foundation in the techniques of design-oriented analysis that are essential for this role. The course covers the Extra Element Theorem and the N-Extra Element Theorem, which are powerful tools for analyzing and designing switching power converters. By taking this course, Power Electronics Engineers can gain the skills and knowledge needed to develop high-performance closed-loop controlled switching power converters.
Electrical Engineer
Electrical Engineers design, develop, and test electrical systems, including power electronic systems. This course provides a strong foundation in the techniques of design-oriented analysis that are essential for this role. The course covers the Extra Element Theorem and the N-Extra Element Theorem, which are powerful tools for analyzing and designing switching power converters. By taking this course, Electrical Engineers can gain the skills and knowledge needed to develop high-performance closed-loop controlled switching power converters.
Control Systems Engineer
Control Systems Engineers design, develop, and test control systems, including power electronic control systems. This course provides a strong foundation in the techniques of design-oriented analysis that are essential for this role. The course covers the Extra Element Theorem and the N-Extra Element Theorem, which are powerful tools for analyzing and designing switching power converters. By taking this course, Control Systems Engineers can gain the skills and knowledge needed to develop high-performance closed-loop controlled switching power converters.
Power Electronics Designer
Power Electronics Designers design, develop, and test power electronic systems, including switching power converters. This course provides a strong foundation in the techniques of design-oriented analysis that are essential for this role. The course covers the Extra Element Theorem and the N-Extra Element Theorem, which are powerful tools for analyzing and designing switching power converters. By taking this course, Power Electronics Designers can gain the skills and knowledge needed to develop high-performance closed-loop controlled switching power converters.
Power Electronics Technician
Power Electronics Technicians install, maintain, and repair power electronic systems, including switching power converters. This course provides a strong foundation in the techniques of design-oriented analysis that are essential for this role. The course covers the Extra Element Theorem and the N-Extra Element Theorem, which are powerful tools for analyzing and designing switching power converters. By taking this course, Power Electronics Technicians can gain the skills and knowledge needed to troubleshoot and repair power electronic systems.
Electrical Designer
Electrical Designers design, develop, and test electrical systems, including power electronic systems. This course provides a strong foundation in the techniques of design-oriented analysis that are essential for this role. The course covers the Extra Element Theorem and the N-Extra Element Theorem, which are powerful tools for analyzing and designing switching power converters. By taking this course, Electrical Designers can gain the skills and knowledge needed to develop high-performance closed-loop controlled switching power converters.
Control Systems Designer
Control Systems Designers design, develop, and test control systems, including power electronic control systems. This course provides a strong foundation in the techniques of design-oriented analysis that are essential for this role. The course covers the Extra Element Theorem and the N-Extra Element Theorem, which are powerful tools for analyzing and designing switching power converters. By taking this course, Control Systems Designers can gain the skills and knowledge needed to develop high-performance closed-loop controlled switching power converters.
Power Electronics Applications Engineer
Power Electronics Applications Engineers design, develop, and test power electronic systems, including switching power converters. This course provides a strong foundation in the techniques of design-oriented analysis that are essential for this role. The course covers the Extra Element Theorem and the N-Extra Element Theorem, which are powerful tools for analyzing and designing switching power converters. By taking this course, Power Electronics Applications Engineers can gain the skills and knowledge needed to develop high-performance closed-loop controlled switching power converters.
Power Systems Engineer
Power Systems Engineers design, develop, and test power systems, including power electronic systems. This course provides a strong foundation in the techniques of design-oriented analysis that are essential for this role. The course covers the Extra Element Theorem and the N-Extra Element Theorem, which are powerful tools for analyzing and designing switching power converters. By taking this course, Power Systems Engineers can gain the skills and knowledge needed to develop high-performance closed-loop controlled switching power converters.
Renewable Energy Engineer
Renewable Energy Engineers design, develop, and test renewable energy systems, including power electronic systems. This course provides a strong foundation in the techniques of design-oriented analysis that are essential for this role. The course covers the Extra Element Theorem and the N-Extra Element Theorem, which are powerful tools for analyzing and designing switching power converters. By taking this course, Renewable Energy Engineers can gain the skills and knowledge needed to develop high-performance closed-loop controlled switching power converters.
Control Systems Analyst
Control Systems Analysts design, develop, and test control systems, including power electronic control systems. This course provides a strong foundation in the techniques of design-oriented analysis that are essential for this role. The course covers the Extra Element Theorem and the N-Extra Element Theorem, which are powerful tools for analyzing and designing switching power converters. By taking this course, Control Systems Analysts can gain the skills and knowledge needed to develop high-performance closed-loop controlled switching power converters.
Power Electronics Consultant
Power Electronics Consultants provide consulting services to clients in the power electronics industry. This course provides a strong foundation in the techniques of design-oriented analysis that are essential for this role. The course covers the Extra Element Theorem and the N-Extra Element Theorem, which are powerful tools for analyzing and designing switching power converters. By taking this course, Power Electronics Consultants can gain the skills and knowledge needed to provide expert advice to clients on the design and development of power electronic systems.
Electrical Engineer Manager
Electrical Engineer Managers oversee the work of Electrical Engineers and other engineering professionals. This course provides a strong foundation in the techniques of design-oriented analysis that are essential for this role. The course covers the Extra Element Theorem and the N-Extra Element Theorem, which are powerful tools for analyzing and designing switching power converters. By taking this course, Electrical Engineer Managers can gain the skills and knowledge needed to effectively lead and manage engineering teams.
Power Electronics Researcher
Power Electronics Researchers conduct research in the field of power electronics, including the design and development of switching power converters. This course provides a strong foundation in the techniques of design-oriented analysis that are essential for this role. The course covers the Extra Element Theorem and the N-Extra Element Theorem, which are powerful tools for analyzing and designing switching power converters. By taking this course, Power Electronics Researchers can gain the skills and knowledge needed to conduct groundbreaking research in the field of power electronics.
Power Electronics Professor
Power Electronics Professors teach courses in the field of power electronics, including the design and development of switching power converters. This course provides a strong foundation in the techniques of design-oriented analysis that are essential for this role. The course covers the Extra Element Theorem and the N-Extra Element Theorem, which are powerful tools for analyzing and designing switching power converters. By taking this course, Power Electronics Professors can gain the skills and knowledge needed to effectively teach courses in the field of power electronics.

Reading list

We've selected 13 books that we think will supplement your learning. Use these to develop background knowledge, enrich your coursework, and gain a deeper understanding of the topics covered in Techniques of Design-Oriented Analysis.
Provides a comprehensive overview of the modeling, analysis, and control of switching power converters, which can serve as a useful reference for more advanced topics in this course.
Provides a comprehensive textbook-level overview of power electronics, including topics covered in this course, by discussing the modeling, analysis, and design of power converters.
Provides a comprehensive overview of high-frequency magnetic components, which can supplement this course by providing more depth into the modeling and analysis of the magnetic components used in switching power converters.
Provides more in-depth coverage of control techniques for power converters, which can be useful for understanding the control theory behind the design of high-performance switching power converters.
Provides detailed coverage of the simulation, design, and implementation of switch-mode power supplies, which can be useful for gaining practical insights into the design and analysis of switching power converters.
Comprehensive handbook that covers a wide range of topics in power electronics, including switching power converters, and can serve as a valuable reference for more advanced topics in this course.
Provides a comprehensive textbook-level overview of power electronics, including topics covered in this course, by discussing the modeling, analysis, and design of power converters.
Provides a unified treatment of the analysis and design of electric power converters, including topics covered in this course, by discussing the modeling, analysis, and design of power converters.
Provides a comprehensive textbook-level overview of power electronics, including topics covered in this course, by discussing the modeling, analysis, and design of power converters.
Provides a comprehensive textbook-level overview of power electronics, including topics covered in this course, by discussing the modeling, analysis, and design of power converters.
Provides a comprehensive textbook-level overview of power electronics, including topics covered in this course, by discussing the modeling, analysis, and design of power converters.
Provides a textbook-level overview of power electronics, including topics covered in this course, by discussing the modeling, analysis, and design of power converters.

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