Volume 18, Issue 3 (September 2022)                   IJEEE 2022, 18(3): 155-171 | Back to browse issues page

XML Print

Download citation:
BibTeX | RIS | EndNote | Medlars | ProCite | Reference Manager | RefWorks
Send citation to:
Hesami Naghshbandy A, Naderi K, Annakkage U D. A Laplacian Approach to Locate Source of Forced Oscillations Under Resonance Conditions Based on Energy-Driven Multilateral Interactive Pattern. IJEEE 2022; 18 (3) :155-171
URL: http://ijeee.iust.ac.ir/article-1-2455-en.html
A Laplacian Approach to Locate Source of Forced Oscillations Under Resonance Conditions Based on Energy-Driven Multilateral Interactive Pattern
A. Hesami Naghshbandy , K. Naderi , U. D. Annakkage
Abstract:   (1508 Views)
The most challenging circumstance of forced oscillations (FOs) is when the power system is forced to oscillate at its natural frequencies. This paper uses a novel PMU data-driven mechanism to pinpoint the source of such phenomena under resonance. Following the detection of FOs, the instantaneous changes in the output power and angular velocity of the rotors are calculated. Accordingly, an energy-driven multilateral interaction pattern is obtained for all synchronous generators. Next, an appropriate positive weighted undirected graph is constructed through these functional patterns based on the spectral graph theory. These quantitative indicators are then analyzed through the eigenvalue spectrum of the normalized Laplacian matrix of the system graph reduced to the internal generator buses. Finally, the smallest value in eigenvectors corresponding to the two largest eigenvalues reveals the location of the source. The proposed methodology’s validation and verification studies have been performed on the WECC 3-machine 9-bus and New England 10-machine 39-bus benchmark power systems modeled in the Real-Time Digital Simulator (RTDS) and then analyzed in the MATLAB environment. The proposed methodology revealed to be fast and accurate in locating the source of FOs under challenging resonance situations with promising results while addressing the generator side origins.
Keywords: Forced Oscillation , Laplacian Matrix , Multilateral Interactive Pattern , Resonance , Source Locating , Spectral Graph Theory
Full-Text [PDF 2629 kb]   (813 Downloads)    
  • A new PMU data-driven mechanism to pinpoint the source of forced oscillations under full resonance;
  • A new multilateral interactive pattern approach derivative from Transient energy function (TEF) results of the multi-generator power system;
  • A new-defined positive weighted undirected graph based on the spectral graph theory, with respect to the eigenvalue spectrum of the normalized Laplacian matrix.

Type of Study: Research Paper | Subject: Modeling and Simulation of Power Systems Dynamics
Received: 2022/03/13 | Revised: 2024/05/13 | Accepted: 2022/06/06
Rights and permissions
Creative Commons License This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
Creative Commons License
© 2022 by the authors. Licensee IUST, Tehran, Iran. This is an open access journal distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial 4.0 International (CC BY-NC 4.0) license.