NDLI: Limit-induced stable limit cycles in power systems

Content Provider	IEEE Xplore Digital Library
Author	Reddy, P.B. Hiskens, I.A.
Copyright Year	2005
Description	Author affiliation: Univ. of Wisconsin - Madison, Madison (Reddy, P.B.; Hiskens, I.A.)
Abstract	Heavily loaded power systems are susceptible to Hopf bifurcations, and consequent oscillatory instability. The onset of instability can be predicted by small disturbance (eigen-value) analysis, but the ensuring behaviour may depend strongly on nonlinearities within the system. In particular, physical limits place bounds on the divergent behaviour of states. This paper explores the situation where generator field-voltage limits capture behaviour, giving rise to a stable (though non-smooth) limit cycle. It is shown that shooting methods can be adapted to solve for such non-smooth limit-induced limit cycles. By continuing branches of limit-induced and smooth limit cycles, the paper established the co-existence of equilibria, smooth and non-smooth limit cycles. Furthermore, it is shown that when branches of limit-induced and smooth limit cycles merge, the limit cycles are annihilated at a grazing bifurcation.
Starting Page	1
Ending Page	5
File Size	566859
Page Count	5
File Format	PDF
ISBN	9785932080344
DOI	10.1109/PTC.2005.4524706
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2005-06-27
Publisher Place	Russia
Access Restriction	Subscribed
Rights Holder	Energy Systems Institute
Subject Keyword	Limit-cycles Power systems Power system modeling Bifurcation Power system dynamics Power system analysis computing Eigenvalues and eigenfunctions Voltage Hybrid power systems Stability continuation methods Limit cycles piecewise smooth dynamics hybrid systems shooting methods Hopf bifurcations
Content Type	Text
Resource Type	Article

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in

Bifurcation Analysis on Power System Voltage Stability

Study of Hopf bifurcations in a simple power system model

Degenerate Hopf bifurcations in power systems

On-line control of Hopf bifurcations in power systems

Limit-induced stable limit cycles in power systems (2005)

Frequency domain analysis of Hopf bifurcations in electric power networks

Equivalency of Continuation and Optimization Methods to Determine Saddle-Node and Limit-Induced Bifurcations in Power Systems

Zero-Hopf bifurcation analysis on power system dynamic stability

Bifurcation analysis in dual-input buck converter in hybrid power system

Limit-induced stable limit cycles in power systems

Similar Documents

Bifurcation Analysis on Power System Voltage Stability

Study of Hopf bifurcations in a simple power system model

Degenerate Hopf bifurcations in power systems

On-line control of Hopf bifurcations in power systems

Limit-induced stable limit cycles in power systems (2005)

Frequency domain analysis of Hopf bifurcations in electric power networks

Equivalency of Continuation and Optimization Methods to Determine Saddle-Node and Limit-Induced Bifurcations in Power Systems

Zero-Hopf bifurcation analysis on power system dynamic stability

Bifurcation analysis in dual-input buck converter in hybrid power system

Limit-induced stable limit cycles in power systems