Welcome to Managing Harmonics in Modern Power Distribution Networks


The ever-increasing penetration of power-electronic-based sources and loads in power distribution networks poses new challenges to the quality of electricity supply. This course intends to provide a systematic discussing on the modeling, analysis and measurement of harmonics in modern power distribution systems. The theoretical modeling and analysis on the harmonic impacts of photovoltaic (PV) inverters in distribution systems will be introduced first. New developments and concepts in determining and assessing the harmonic emission limits and, in particular the supraharmonics above 2 kHz will then be reviewed. Next, practical aspects of harmonic measurements and the impedance identifications of network and devices will be discussed. Lastly, the system-level harmonic studies in low-voltage (LV) distribution networks with PV and electric vehicles (EVs) will be presented. Each aspect is illustrated by real world examples. The main topics to be covered include
 Harmonic modeling and analysis of PV inverters considering the control impacts with different grid strengths
 Latest grid codes, standards and compliance assessment for power electronic based devices
 Supraharmonics (2 kHz - 150 kHz): sources, mechanisms, propagation and resonances
 Harmonic measurement techniques and suitability of voltage and current transducers
 Frequency-dependent impedance measurement of LV distribution networks
 “Black-box” harmonic and impedance measurements of PV inverters and EVs
 Harmonic studies of LV distribution power networks due to PV and EVs

Day 1: Harmonic Modeling and Analysis of PV Inverters, Prof. Xiongfei Wang (4 hours), Dr. Ariya Sangwongwanich (2 hours)
- Introduction to harmonic generation mechanisms of PV inverters
- Representations of PV inverters for harmonic analysis
- Case studies with different grid strengths and voltage distortions
- Interharmonics analysis and mitigation in PV inverters

Day 2: Standards and Practical Measurements of Harmonics, Dr. Jan Meyer (6 hours)
- Latest update on grid codes, standards, and compliance assessment
- Supraharmonics (2 kHz – 150 kHz): sources, propagation and resonances
- Harmonic measurement techniques
- Suitability of voltage and current transducers

Day 3: Harmonic Studies in Modern LV Distribution Networks, Dr. Jan Meyer (6 hours)
- Frequency-dependent impedance measurement of LV distribution networks
- “Black-box” impedance measurement of PV inverters and EV chargers
- Measurement case studies on a 1-MW PV power plant and a 12-MW wind park
- Harmonic modeling and analysis of LV distribution networks

Prior knowledge of power electronics fundamentals, digital signal processing, and power quality basics are preferred.

Form of evaluation:
Exercises and report

Organizer: Professor Xiongfei Wang

Lecturers: Dr. Jan Meyer, Technical University of Dresden, Germany, Prof. Xiongfei Wang, and Dr. Ariya Sangwongwanich, Aalborg University, Denmark.


Time: 5-7 October, 2020


Zip code: 


Number of seats: 45

Deadline: 14 September 2020

Important information concerning PhD courses: We have over some time experienced problems with no-show for both project and general courses. It has now reached a point where we are forced to take action. Therefore, the Doctoral School has decided to introduce a no-show fee of DKK 5,000 for each course where the student does not show up. Cancellations are accepted no later than 2 weeks before start of the course. Registered illness is of course an acceptable reason for not showing up on those days. Furthermore, all courses open for registration approximately four months before start. This can hopefully also provide new students a chance to register for courses during the year. We look forward to your registrations.