NDLI: Robust power systems stability assessment with sum of squares optimization

Content Provider	IEEE Xplore Digital Library
Author	Hyungjin Choi Seiler, P.J. Dhople, S.V.
Copyright Year	2015
Description	Author affiliation: Dept. of Electr. & Comput. Eng., Univ. of Minnesota, Minneapolis, MN, USA (Hyungjin Choi; Dhople, S.V.) \|\| Dept. of Aerosp., Eng. & Mech., Univ. of Minnesota, Minneapolis, MN, USA (Seiler, P.J.)
Abstract	Analytic methods to quantify power systems stability margins while acknowledging uncertainty will be critical in dynamic security assessment due to the integration of renewable resources and uncontrollable loads. Lyapunov's direct method provides a mathematical framework to assess stability margins. However, analytical construction of Lyapunov functions are limited to very restrictive settings and cannot be extended to accommodate the impact of uncertainty. This paper focuses on the algorithmic construction of Lyapunov functions and the estimation of the robust Region-Of-Attraction (ROA) with sum-of-squares (SOS) optimization programs which can be translated into semidefinite problems and then solved with readily available software. Key to the proposed approach is the formulation of computationally tractable polynomial differential equation models that are affine in parametric/input uncertainty. Numerical case studies for a prototypical power system model validate the accuracy of the polynomial approximations and compare the ROA and the robust ROA with results from repeated time-domain simulations.
Starting Page	1
Ending Page	5
File Size	398661
Page Count	5
File Format	PDF
ISBN	9781467380409
DOI	10.1109/PESGM.2015.7286245
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2015-07-26
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Polynomials Power system stability Robustness Load modeling Mathematical model Uncertainty Power system dynamics
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

Robust Stability Assessment in the Presence of Load Dynamics Uncertainty

Robust PI design for chaos control using sum of squares approach

Study of robust stability for discrete-time systems

Robust PID synthesis for load frequency control

Robust zero dynamic excitation controller for power systems under structured uncertainty

Robust design of repetitive control system

On the construction of Lyapunov functions using the sum of squares decomposition

Robust stabilization of ship roll by convex optimization

Robustness analysis of large power systems with parametric uncertainties

Robust power systems stability assessment with sum of squares optimization

Similar Documents

Robust Stability Assessment in the Presence of Load Dynamics Uncertainty

Robust PI design for chaos control using sum of squares approach

Study of robust stability for discrete-time systems

Robust PID synthesis for load frequency control

Robust zero dynamic excitation controller for power systems under structured uncertainty

Robust design of repetitive control system

On the construction of Lyapunov functions using the sum of squares decomposition

Robust stabilization of ship roll by convex optimization

Robustness analysis of large power systems with parametric uncertainties

Robust power systems stability assessment with sum of squares optimization