Normal form analysis of auto-parametric resonance in longitudinal power system

Hiroyuki Amano; Toshio Inoue

doi:10.1109/NAPS.2005.1560585

Normal form analysis of auto-parametric resonance in longitudinal power system

Hiroyuki Amano^*, Toshio Inoue

^*Corresponding author for this work

Advanced Power System Engineering Laboratory

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

2 Scopus citations

Abstract

In longitudinal power systems, the transient stability could be restricted by not an unstable equilibrium point but an unstable limit cycle due to auto-parametric resonance. In such a case, it is important to find the unstable limit cycle. However, there has been no systematic method to find it as far as the authors know. This paper presents a systematic method to find the unstable limit cycle that anchors the transient boundary using normal form analysis. The approximated amplitude of the limit cycle can be obtained by the proposed method. The method can consider the auto-parametric resonance. The numerical results of a longitudinal power system confirm the effectiveness of the proposed method.

Original language	English
Title of host publication	Proceedings - Thirteenth International Symposium on Temporal Representation and Reasoning, TIME 2006
Pages	538-544
Number of pages	7
DOIs	https://doi.org/10.1109/NAPS.2005.1560585
State	Published - 2005
Event	37th Annual North American Power Symposium, 2005 - Ames, IA, United States Duration: 2005/10/23 → 2005/10/25

Publication series

Name	Proceedings of the 37th Annual North American Power Symposium, 2005
Volume	2005

Conference

Conference	37th Annual North American Power Symposium, 2005
Country/Territory	United States
City	Ames, IA
Period	2005/10/23 → 2005/10/25

Keywords

Auto-parametric resonance
Multi-swing instability
Normal form analysis
Power system dynamics

ASJC Scopus subject areas

General Engineering

Access to Document

10.1109/NAPS.2005.1560585

Cite this

@inproceedings{7a6b1c0e34ec4d2da6e4d0a97dc9979e,

title = "Normal form analysis of auto-parametric resonance in longitudinal power system",

abstract = "In longitudinal power systems, the transient stability could be restricted by not an unstable equilibrium point but an unstable limit cycle due to auto-parametric resonance. In such a case, it is important to find the unstable limit cycle. However, there has been no systematic method to find it as far as the authors know. This paper presents a systematic method to find the unstable limit cycle that anchors the transient boundary using normal form analysis. The approximated amplitude of the limit cycle can be obtained by the proposed method. The method can consider the auto-parametric resonance. The numerical results of a longitudinal power system confirm the effectiveness of the proposed method.",

keywords = "Auto-parametric resonance, Multi-swing instability, Normal form analysis, Power system dynamics",

author = "Hiroyuki Amano and Toshio Inoue",

year = "2005",

doi = "10.1109/NAPS.2005.1560585",

language = "英語",

isbn = "0780392558",

series = "Proceedings of the 37th Annual North American Power Symposium, 2005",

pages = "538--544",

booktitle = "Proceedings - Thirteenth International Symposium on Temporal Representation and Reasoning, TIME 2006",

note = "37th Annual North American Power Symposium, 2005 ; Conference date: 23-10-2005 Through 25-10-2005",

}

Amano, H & Inoue, T 2005, Normal form analysis of auto-parametric resonance in longitudinal power system. in Proceedings - Thirteenth International Symposium on Temporal Representation and Reasoning, TIME 2006., 1560585, Proceedings of the 37th Annual North American Power Symposium, 2005, vol. 2005, pp. 538-544, 37th Annual North American Power Symposium, 2005, Ames, IA, United States, 2005/10/23. https://doi.org/10.1109/NAPS.2005.1560585

Normal form analysis of auto-parametric resonance in longitudinal power system. / Amano, Hiroyuki; Inoue, Toshio.
Proceedings - Thirteenth International Symposium on Temporal Representation and Reasoning, TIME 2006. 2005. p. 538-544 1560585 (Proceedings of the 37th Annual North American Power Symposium, 2005; Vol. 2005).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

T1 - Normal form analysis of auto-parametric resonance in longitudinal power system

AU - Amano, Hiroyuki

AU - Inoue, Toshio

PY - 2005

Y1 - 2005

N2 - In longitudinal power systems, the transient stability could be restricted by not an unstable equilibrium point but an unstable limit cycle due to auto-parametric resonance. In such a case, it is important to find the unstable limit cycle. However, there has been no systematic method to find it as far as the authors know. This paper presents a systematic method to find the unstable limit cycle that anchors the transient boundary using normal form analysis. The approximated amplitude of the limit cycle can be obtained by the proposed method. The method can consider the auto-parametric resonance. The numerical results of a longitudinal power system confirm the effectiveness of the proposed method.

AB - In longitudinal power systems, the transient stability could be restricted by not an unstable equilibrium point but an unstable limit cycle due to auto-parametric resonance. In such a case, it is important to find the unstable limit cycle. However, there has been no systematic method to find it as far as the authors know. This paper presents a systematic method to find the unstable limit cycle that anchors the transient boundary using normal form analysis. The approximated amplitude of the limit cycle can be obtained by the proposed method. The method can consider the auto-parametric resonance. The numerical results of a longitudinal power system confirm the effectiveness of the proposed method.

KW - Auto-parametric resonance

KW - Multi-swing instability

KW - Normal form analysis

KW - Power system dynamics

UR - http://www.scopus.com/inward/record.url?scp=33845306804&partnerID=8YFLogxK

U2 - 10.1109/NAPS.2005.1560585

DO - 10.1109/NAPS.2005.1560585

M3 - 会議への寄与

AN - SCOPUS:33845306804

SN - 0780392558

SN - 9780780392557

T3 - Proceedings of the 37th Annual North American Power Symposium, 2005

SP - 538

EP - 544

BT - Proceedings - Thirteenth International Symposium on Temporal Representation and Reasoning, TIME 2006

T2 - 37th Annual North American Power Symposium, 2005

Y2 - 23 October 2005 through 25 October 2005

ER -

Normal form analysis of auto-parametric resonance in longitudinal power system

Abstract

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Conference

Keywords

ASJC Scopus subject areas

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