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Pulse Width Modulation for High Power Converters - PhD course

University of Southern Denmark

Arranged by the Mads Clausen Institute, Sønderborg

Venue: University of Southern Denmark, Alsion 2, 6400 Sønderborg Campus

Lecturer: Ramkrishan Maheshwari and Wulf-Toke Franke

Responsible lecturer: Ramkrishan Maheshwari, University of Southern Denmark, Sønderborg, Denmark, email:, tel: +45 6550 1686.

Registration and more information: For information on the exact time, place, payment and how to sign up, email to Katarzyna Janus-Fiutowska, email:, tel: +45 6550 1624

Prerequisites: PhD students within Power Electronics, Mechatronics, Power Systems or similar.

Type of course: PhD course in PWM method, applications, and effects on the high-power converters for electric drives and grid-connected converters.

Teaching language: English

Workload and Credits: Approx. one-week full time, three days participation. In addition, there will be report writing and submission. Total credits: 3 ECTS

Three-phase voltage source converters (VSC) are the most commonly used power electronic converters. Different types of VSC are used depending on application, power, semiconductor devices used etc. The pulse width modulation (PWM) techniques are the key techniques to control such a VSC in order to obtain the desired AC output voltage.

The performance of the converter is very much dependent upon the PWM technique. Detailed theoretical and practical aspects related to PWM techniques for the two-level, three-level, and parallel-connected converter will be presented during the course. The main highlight of the course will be simple implementations of the PWM methods in digital platform which improve the execution time of the controller.

Main Topics:
Different topics to be covered in this course are:
• Two-level converter

  • Sinusoidal PWM, Space Vector PWM, Discontinuous PWM
  • Performance analysis of different PWM in terms of current, voltage ripple (harmonics), switching loss etc.

• Three-level converter

  • Sinusoidal PWM, Space Vector PWM, Discontinuous PWM, Virtual vector based PWM
  • DC-link voltage balancing
  • Performance analysis of different PWM in terms of current, voltage ripple, switching loss etc.

• Parallel connected converter

  • Interleaved PWM
  • Advanced PWM with reduced current ripple
  • Advanced PWM with reduced circulating current

• Effect of PWM on the Power converter design

  • Current and voltage rating of transistors and diodes
  • Design criteria and life-time calculation
  • Understand load profiles
  • Failure modes and aging mechanism
  • Life-time models

Learning Objectives:
A student who has met the objectives of the course will be able to:
• Select a proper PWM method for a given application
• Simulate a given PWM method
• Implement the PWM method in digital and analog platforms
• Analyze a given PWM method
• Calculate the switching loss and harmonics generated by the PWM method for DC-AC converters
• Analyze the effect of PWM method on the Power converter design
• Interpret load profiles
• Select PE components to fulfill life-time requirements

Teaching method: Teaching is a mixture of lectures, laboratory exercises and assignments in teams of 2-4 students. During the course the students will conduct a series of simulations which he/she has to submit and used for passed/not passed assessment.

Period: Usually held for three days in weeks 2 or 3 every year. For 2021, it will be held on 11-13 January 2021. Time: 8:00-16:00

Evaluation and Diplomas: The course is assessed by the lectures and evaluated passed/not passed based on an overall assessment of: 1) submitted report and 2) presence and active participation at all lectures. The organizers will assign 3 ECTS credits on a pass/not pass basis.

No. of Participant (Max): 25

• PhD students from Danish Universities that have joined the "Open market agreement": Free of charge
• Other participants: DKK 1200 - pr. ECTS

Registration be sending email to Katarzyna Janus-Fiutowska, email:, tel: +45 6550 1624


Course dates
11 January 2021 - 13 January 2021
Course organizer
Ramkrishan Maheshwari, The Mads Clausen Institute, Faculty of Engineering
Alsion 2
6400 Sønderborg