Effects of rotational Inertia on power system damping and frequency transients

Theodor S. Borsche, Tao Liu, David J. Hill

Research output: Chapter in Book/Report/Conference proceedingConference PaperResearchpeer-review

85 Citations (Scopus)


Rotational Inertia is an integral part of any electric power system. Due to the increased use of power electronics-both to connect Renewable Energy Sources (RES) and as drives for electric motors-inertia levels are generally reduced and become time dependent. The same power electronic technologies can also be used to actively provide inertia to the power system, raising the question what effect changes in inertia has on power system stability, and how to best place devices providing virtual inertia. We propose an optimization program that answers these question, and analytically derive the sensitivities of transient frequency overshoot and damping ratio to inertia and damping. An example shows how damping ratio can be improved while transient frequency limits are respected.

Original languageEnglish
Title of host publication54rd IEEE Conference on Decision and Control, CDC 2015
PublisherIEEE, Institute of Electrical and Electronics Engineers
Number of pages7
ISBN (Electronic)9781479978861
Publication statusPublished - 2015
Externally publishedYes
EventIEEE Conference on Decision and Control 2015 - Osaka, Japan
Duration: 15 Dec 201518 Dec 2015
Conference number: 54th
https://ieeexplore.ieee.org/xpl/conhome/7396016/proceeding (Proceedings)

Publication series

NameProceedings of the IEEE Conference on Decision and Control
Volume54rd IEEE Conference on Decision and Control,CDC 2015
ISSN (Print)0743-1546
ISSN (Electronic)2576-2370


ConferenceIEEE Conference on Decision and Control 2015
Abbreviated titleCDC 2015
Internet address


  • Damping
  • Eigenvalues and eigenfunctions
  • Mathematical model
  • Power system stability
  • Sensitivity
  • Transient analysis

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