Sub/Super-Synchronous Oscillation Oriented Dominant Controller Parameters Stability Region Based on Gerschgorin Disk Theorem

Since the development of renewable power generation, Sub/Super-Synchronous Control Interac-tion (SSCI), has attracted wide attention. Sub/super-synchronous oscillation (SSO) belongs to the category of small signal stability, and its characteristics are closely related to the operation mode and contr...

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Main Authors: Song Ke, Tao Lin, Yibiao Sheng, Hui Du, Shuitian Li, Baoping Chen, Rusi Chen, Qingyan Li
Format: Article
Language:English
Published: MDPI AG 2021-01-01
Series:Applied Sciences
Subjects:
Online Access:https://www.mdpi.com/2076-3417/11/3/1205
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author Song Ke
Tao Lin
Yibiao Sheng
Hui Du
Shuitian Li
Baoping Chen
Rusi Chen
Qingyan Li
author_facet Song Ke
Tao Lin
Yibiao Sheng
Hui Du
Shuitian Li
Baoping Chen
Rusi Chen
Qingyan Li
author_sort Song Ke
collection DOAJ
description Since the development of renewable power generation, Sub/Super-Synchronous Control Interac-tion (SSCI), has attracted wide attention. Sub/super-synchronous oscillation (SSO) belongs to the category of small signal stability, and its characteristics are closely related to the operation mode and controller parameters in power grid. The operation mode of renewable power system changes frequently, a method to construct controller parameter stability region (PSR) is proposed for online assessment of the matching degree of controller parameters in power grid under current operation mode. Based on Gerschgorin disk theorem (GDT), eigenvalue distribution range of the system state matrix is estimated, thus the feasible value set of the controller parameter is deduced through small signal stability criterion. The stability margin evaluation index is proposed for guiding the prevention and control of SSO. Specifically, the preconditions of the application of the GDT on the PSR construction are discussed, and a construction method of transition matrix is proposed for the PSR construction. Furthermore, to reduce the conservativeness of PSR, an extension method for PSR is given. Finally, the validity of the proposed method is verified by a realistic benchmark. The efficiency of the proposed method is highlighted by comparing with the point-wise eigenvalue calculation of the state matrix.
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spelling doaj.art-d3a84f9f31dd4b3b8e74520cdb1743ae2023-12-03T15:02:10ZengMDPI AGApplied Sciences2076-34172021-01-01113120510.3390/app11031205Sub/Super-Synchronous Oscillation Oriented Dominant Controller Parameters Stability Region Based on Gerschgorin Disk TheoremSong Ke0Tao Lin1Yibiao Sheng2Hui Du3Shuitian Li4Baoping Chen5Rusi Chen6Qingyan Li7School of Electrical Engineering and Automation, Wuhan University, Wuhan 430072, ChinaSchool of Electrical Engineering and Automation, Wuhan University, Wuhan 430072, ChinaSchool of Electrical Engineering and Automation, Wuhan University, Wuhan 430072, ChinaSchool of Electrical Engineering and Automation, Wuhan University, Wuhan 430072, ChinaSchool of Electrical Engineering and Automation, Wuhan University, Wuhan 430072, ChinaSchool of Electrical Engineering and Automation, Wuhan University, Wuhan 430072, ChinaSchool of Electrical Engineering and Automation, Wuhan University, Wuhan 430072, ChinaSchool of Electrical Engineering and Automation, Wuhan University, Wuhan 430072, ChinaSince the development of renewable power generation, Sub/Super-Synchronous Control Interac-tion (SSCI), has attracted wide attention. Sub/super-synchronous oscillation (SSO) belongs to the category of small signal stability, and its characteristics are closely related to the operation mode and controller parameters in power grid. The operation mode of renewable power system changes frequently, a method to construct controller parameter stability region (PSR) is proposed for online assessment of the matching degree of controller parameters in power grid under current operation mode. Based on Gerschgorin disk theorem (GDT), eigenvalue distribution range of the system state matrix is estimated, thus the feasible value set of the controller parameter is deduced through small signal stability criterion. The stability margin evaluation index is proposed for guiding the prevention and control of SSO. Specifically, the preconditions of the application of the GDT on the PSR construction are discussed, and a construction method of transition matrix is proposed for the PSR construction. Furthermore, to reduce the conservativeness of PSR, an extension method for PSR is given. Finally, the validity of the proposed method is verified by a realistic benchmark. The efficiency of the proposed method is highlighted by comparing with the point-wise eigenvalue calculation of the state matrix.https://www.mdpi.com/2076-3417/11/3/1205renewable power systemsmall signal stabilitysub/super-synchronous oscillationparameter stability regionstability marginGerschgorin disk theorem
spellingShingle Song Ke
Tao Lin
Yibiao Sheng
Hui Du
Shuitian Li
Baoping Chen
Rusi Chen
Qingyan Li
Sub/Super-Synchronous Oscillation Oriented Dominant Controller Parameters Stability Region Based on Gerschgorin Disk Theorem
Applied Sciences
renewable power system
small signal stability
sub/super-synchronous oscillation
parameter stability region
stability margin
Gerschgorin disk theorem
title Sub/Super-Synchronous Oscillation Oriented Dominant Controller Parameters Stability Region Based on Gerschgorin Disk Theorem
title_full Sub/Super-Synchronous Oscillation Oriented Dominant Controller Parameters Stability Region Based on Gerschgorin Disk Theorem
title_fullStr Sub/Super-Synchronous Oscillation Oriented Dominant Controller Parameters Stability Region Based on Gerschgorin Disk Theorem
title_full_unstemmed Sub/Super-Synchronous Oscillation Oriented Dominant Controller Parameters Stability Region Based on Gerschgorin Disk Theorem
title_short Sub/Super-Synchronous Oscillation Oriented Dominant Controller Parameters Stability Region Based on Gerschgorin Disk Theorem
title_sort sub super synchronous oscillation oriented dominant controller parameters stability region based on gerschgorin disk theorem
topic renewable power system
small signal stability
sub/super-synchronous oscillation
parameter stability region
stability margin
Gerschgorin disk theorem
url https://www.mdpi.com/2076-3417/11/3/1205
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