Description: The course will provide training and education in the field of stability theory, stability of modern electric power systems with synchronous generators, power electronics-interfaced renewable generators, and other power electronic systems, such as HVDC and Flexible ac transmission systems (FACTs).

The PhD course will cover basic knowledge of stability theory, electrical power system stability, impacts of power electronic conversion system, electrical machines and renewable energy generators on the system stability, especially, the stability under the large scale integration of renewable generators and significant reduction of conventional synchronous generators.

Some of the course contents are based on recently obtained research results

The main topics are as follows:

·       Overview of power system stability and classification

·       Basics of stability theory

·       Angle stability

·       Frequency stability of power systems

·       Voltage  stability of power systems

·       Multi-time scale and quasi steady state simulation

·       Frequency response and regulation of renewable energy plants

·       Small signal stability and analysis method

·       Large signal stability and analysis method

·       Sub-synchronous oscillation

·       Stability of power electronic dominated power systems

·       Day 1:

Overview of power system stability and classification (ZCH)  (1.5h)

Basics of power system stability (ZCH)  (1.5h)

Concept and methodology of stability (YWA)  (1.5h)

Small signal stability and large signal stability (YWA) (1.5h)

·       Day 2:

Power system angle stability (ZCH)  (1.5h)

Voltage stability and response dynamics (ZCH)  (1.5h)

Frequency stability and frequency regulation method (YWA) (1.5h)

Large signal stability and analysis method (YWA) (1.5h)

·       Day 3:

New emerging stability issues in inverter-fed power system – Part I (YWA) (1.5h)

New emerging stability issues in inverter-fed power system – Part II (YWA) (1 h)

Machining learning-driven stability assessment (YWA) (0.5 h)

Demonstration and practice in Digsilent or RTDS  (KMA)  (2.5h)

Prerequisites: Preferably to have general knowledge in electrical engineering.

Form of evaluation: Assignments to be completed, the reports are to be submitted and evaluated after the class

Course literature

[1] Bhatia, Nam Parshad, and Giorgio P. Szegö. Stability theory of dynamical systems. Springer Science & Business Media, 2002.

[2] Khalil, Hassan K. "Nonlinear systems third edition." Patience Hall 115 (2002).

[3] Kundur, Prabha S., and Om P. Malik. Power system stability and control. McGraw-Hill Education, 2022.

[4] Machowski, Jan, et al. Power system dynamics: stability and control. John Wiley & Sons, 2020.

[5] N. Hatziargyriou et al., "Definition and Classification of Power System Stability – Revisited & Extended," in IEEE Transactions on Power Systems, vol. 36, no. 4, pp. 3271-3281, July 2021, doi: 10.1109/TPWRS.2020.3041774.

[6] P. W. Sauer, "Time-scale features and their applications in electric power system dynamic modeling and analysis," Proceedings of the 2011 American Control Conference, San Francisco, CA, 2011, pp. 4155-4159,

[7] Kundur, Prabha, et al. "Definition and classification of power system stability IEEE/CIGRE joint task force on stability terms and definitions." IEEE transactions on Power Systems 19.3 (2004): 1387-1401.

[8] Kundur, Prabha, John Paserba, and Sylvain Vitet. "Overview on definition and classification of power system stability." CIGRE/IEEE PES International Symposium Quality and Security of Electric Power Delivery Systems, 2003. CIGRE/PES 2003.. IEEE, 2003.

Organizer:     Professor, Zhe Chen,zch@energy.aau.dk,

Lecturers:      Professor Zhe Chen, Aalborg University, Denmark

Assistant Professor Yanbo Wang, Aalborg University, Denmark

                          Post doc. Fellow Kaiqi MA, Aalborg University, Denmark

PhD researchers, Aalborg University, Denmark

ECTS:               3

Date/Time:   7-9 February 2023 / 8:30-16:00

Deadline          23 January 2023

Place:              AAU Energy, Aalborg

Price: 6000 DKK for PhD students outside of Denmark and 8000 DKK for the Industry excl. VAT


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 3.000 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.