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Article: Network-Based Analysis of Small-Disturbance Angle Stability of Power Systems
Title | Network-Based Analysis of Small-Disturbance Angle Stability of Power Systems |
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Authors | |
Keywords | Angle stability Graph theory Laplacian matrix Power network Unstable equilibrium point (UEP) |
Issue Date | 2018 |
Publisher | Institute of Electrical and Electronics Engineers. The Journal's web site is located at http://www.ieeecss.org/publications/transactions-control-network-systems-1 |
Citation | IEEE Transactions on Control of Network Systems, 2018, v. 5 n. 3, p. 901-912 How to Cite? |
Abstract | This paper investigates small-disturbance angle stability of power systems with emphasis on the role of power network topology, which sheds new light on the instability mechanism. We introduce the concepts of active power flow graph and critical lines. It is shown that the inertia of the Laplacian matrix of this graph provides information on the stability and type of an equilibrium point. Then, the instability mechanism is elaborated from the impact of critical lines on the inertia of the Laplacian matrix. A stability criterion in terms of a critical line-based matrix is established. This criterion is a necessary and sufficient condition to judge the stability and type of an equilibrium point. It includes the existing results in the literature and applies to the unsolved cases where the critical lines exist but do not form cutsets. Moreover, we introduce the concept of equivalent weight between a pair of buses. Another stability criterion in terms of the equivalent weight is developed, from which the small-disturbance instability can be interpreted as the “electrical antagonism” between some buses in the power network resulting from the critical lines. The equivalent weight can also be used as a stability index and provides guidance for system operation. The obtained results are illustrated by numerical simulations. |
Persistent Identifier | http://hdl.handle.net/10722/243762 |
ISSN | 2022 Impact Factor: 4.2 2020 SCImago Journal Rankings: 1.956 |
ISI Accession Number ID |
DC Field | Value | Language |
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dc.contributor.author | Song, Y | - |
dc.contributor.author | Hill, DJ | - |
dc.contributor.author | Liu, T | - |
dc.date.accessioned | 2017-08-25T02:59:11Z | - |
dc.date.available | 2017-08-25T02:59:11Z | - |
dc.date.issued | 2018 | - |
dc.identifier.citation | IEEE Transactions on Control of Network Systems, 2018, v. 5 n. 3, p. 901-912 | - |
dc.identifier.issn | 2325-5870 | - |
dc.identifier.uri | http://hdl.handle.net/10722/243762 | - |
dc.description.abstract | This paper investigates small-disturbance angle stability of power systems with emphasis on the role of power network topology, which sheds new light on the instability mechanism. We introduce the concepts of active power flow graph and critical lines. It is shown that the inertia of the Laplacian matrix of this graph provides information on the stability and type of an equilibrium point. Then, the instability mechanism is elaborated from the impact of critical lines on the inertia of the Laplacian matrix. A stability criterion in terms of a critical line-based matrix is established. This criterion is a necessary and sufficient condition to judge the stability and type of an equilibrium point. It includes the existing results in the literature and applies to the unsolved cases where the critical lines exist but do not form cutsets. Moreover, we introduce the concept of equivalent weight between a pair of buses. Another stability criterion in terms of the equivalent weight is developed, from which the small-disturbance instability can be interpreted as the “electrical antagonism” between some buses in the power network resulting from the critical lines. The equivalent weight can also be used as a stability index and provides guidance for system operation. The obtained results are illustrated by numerical simulations. | - |
dc.language | eng | - |
dc.publisher | Institute of Electrical and Electronics Engineers. The Journal's web site is located at http://www.ieeecss.org/publications/transactions-control-network-systems-1 | - |
dc.relation.ispartof | IEEE Transactions on Control of Network Systems | - |
dc.rights | ©2017 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works. | - |
dc.subject | Angle stability | - |
dc.subject | Graph theory | - |
dc.subject | Laplacian matrix | - |
dc.subject | Power network | - |
dc.subject | Unstable equilibrium point (UEP) | - |
dc.title | Network-Based Analysis of Small-Disturbance Angle Stability of Power Systems | - |
dc.type | Article | - |
dc.identifier.email | Hill, DJ: dhill@eee.hku.hk | - |
dc.identifier.email | Liu, T: taoliu@hku.hk | - |
dc.identifier.authority | Hill, DJ=rp01669 | - |
dc.identifier.authority | Liu, T=rp02045 | - |
dc.description.nature | postprint | - |
dc.identifier.doi | 10.1109/TCNS.2017.2654162 | - |
dc.identifier.scopus | eid_2-s2.0-85053359746 | - |
dc.identifier.hkuros | 274692 | - |
dc.identifier.volume | 5 | - |
dc.identifier.issue | 3 | - |
dc.identifier.spage | 901 | - |
dc.identifier.epage | 912 | - |
dc.identifier.isi | WOS:000445357100008 | - |
dc.publisher.place | United States | - |
dc.identifier.issnl | 2325-5870 | - |