Matrix exponential based electromagnetic transients simulation algorithm with Krylov subspace approximation and accurate dense output

Chengshan Wang; Xiaopeng Fu; Peng Li; Hao Yu; Chengdi Ding; Guanyu Song; Feijin Peng

doi:10.1109/PESGM.2014.6939291

Matrix exponential based electromagnetic transients simulation algorithm with Krylov subspace approximation and accurate dense output

Chengshan Wang, Xiaopeng Fu, Peng Li^*, Hao Yu, Chengdi Ding, Guanyu Song, Feijin Peng

^*Corresponding author for this work

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

3 Citations (Scopus)

Abstract

The ever-increasing scale of system interconnection and diverse dynamic time constants of power equipment pose challenges to power system electromagnetic transients simulation algorithm. In this paper, an advanced numerical integration method based on matrix exponential operator is proposed. Krylov subspace approximation is utilized to effectively reduce the problem dimension, and an accurate dense output formula is established to enable the method adopting larger simulation step size and revealing higher frequency dynamic details simultaneously. Accuracy, numerical stability and computation efficiency is demonstrated through numerical case studies.

Original language	English
Title of host publication	2014 IEEE PES General Meeting / Conference and Exposition
Publisher	IEEE Computer Society
Edition	October
ISBN (Electronic)	9781479964154
DOIs	https://doi.org/10.1109/PESGM.2014.6939291
Publication status	Published - 29 Oct 2014
Externally published	Yes
Event	2014 IEEE Power and Energy Society General Meeting - National Harbor, United States Duration: 27 Jul 2014 → 31 Jul 2014

Publication series

Name	IEEE Power and Energy Society General Meeting
Number	October
Volume	2014-October
ISSN (Print)	1944-9925
ISSN (Electronic)	1944-9933

Conference

Conference	2014 IEEE Power and Energy Society General Meeting
Country/Territory	United States
City	National Harbor
Period	27/07/14 → 31/07/14

Keywords

Krylov subspace
dense output
electromagnetic transient simulation
matrix exponential

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

Access to Document

10.1109/PESGM.2014.6939291

Cite this

Wang, C., Fu, X., Li, P., Yu, H., Ding, C., Song, G., & Peng, F. (2014). Matrix exponential based electromagnetic transients simulation algorithm with Krylov subspace approximation and accurate dense output. In 2014 IEEE PES General Meeting / Conference and Exposition (October ed.). Article 6939291 (IEEE Power and Energy Society General Meeting; Vol. 2014-October, No. October). IEEE Computer Society. https://doi.org/10.1109/PESGM.2014.6939291

@inproceedings{bfec868afc3d499c93d3c25c28ee7093,

title = "Matrix exponential based electromagnetic transients simulation algorithm with Krylov subspace approximation and accurate dense output",

abstract = "The ever-increasing scale of system interconnection and diverse dynamic time constants of power equipment pose challenges to power system electromagnetic transients simulation algorithm. In this paper, an advanced numerical integration method based on matrix exponential operator is proposed. Krylov subspace approximation is utilized to effectively reduce the problem dimension, and an accurate dense output formula is established to enable the method adopting larger simulation step size and revealing higher frequency dynamic details simultaneously. Accuracy, numerical stability and computation efficiency is demonstrated through numerical case studies.",

keywords = "Krylov subspace, dense output, electromagnetic transient simulation, matrix exponential",

author = "Chengshan Wang and Xiaopeng Fu and Peng Li and Hao Yu and Chengdi Ding and Guanyu Song and Feijin Peng",

note = "Publisher Copyright: {\textcopyright} 2014 IEEE.; 2014 IEEE Power and Energy Society General Meeting ; Conference date: 27-07-2014 Through 31-07-2014",

year = "2014",

month = oct,

day = "29",

doi = "10.1109/PESGM.2014.6939291",

language = "English",

series = "IEEE Power and Energy Society General Meeting",

publisher = "IEEE Computer Society",

number = "October",

booktitle = "2014 IEEE PES General Meeting / Conference and Exposition",

address = "United States",

edition = "October",

}

Wang, C, Fu, X, Li, P, Yu, H, Ding, C, Song, G & Peng, F 2014, Matrix exponential based electromagnetic transients simulation algorithm with Krylov subspace approximation and accurate dense output. in 2014 IEEE PES General Meeting / Conference and Exposition. October edn, 6939291, IEEE Power and Energy Society General Meeting, no. October, vol. 2014-October, IEEE Computer Society, 2014 IEEE Power and Energy Society General Meeting, National Harbor, United States, 27/07/14. https://doi.org/10.1109/PESGM.2014.6939291

Matrix exponential based electromagnetic transients simulation algorithm with Krylov subspace approximation and accurate dense output. / Wang, Chengshan; Fu, Xiaopeng; Li, Peng et al.
2014 IEEE PES General Meeting / Conference and Exposition. October. ed. IEEE Computer Society, 2014. 6939291 (IEEE Power and Energy Society General Meeting; Vol. 2014-October, No. October).

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

TY - GEN

T1 - Matrix exponential based electromagnetic transients simulation algorithm with Krylov subspace approximation and accurate dense output

AU - Wang, Chengshan

AU - Fu, Xiaopeng

AU - Li, Peng

AU - Yu, Hao

AU - Ding, Chengdi

AU - Song, Guanyu

AU - Peng, Feijin

PY - 2014/10/29

Y1 - 2014/10/29

N2 - The ever-increasing scale of system interconnection and diverse dynamic time constants of power equipment pose challenges to power system electromagnetic transients simulation algorithm. In this paper, an advanced numerical integration method based on matrix exponential operator is proposed. Krylov subspace approximation is utilized to effectively reduce the problem dimension, and an accurate dense output formula is established to enable the method adopting larger simulation step size and revealing higher frequency dynamic details simultaneously. Accuracy, numerical stability and computation efficiency is demonstrated through numerical case studies.

AB - The ever-increasing scale of system interconnection and diverse dynamic time constants of power equipment pose challenges to power system electromagnetic transients simulation algorithm. In this paper, an advanced numerical integration method based on matrix exponential operator is proposed. Krylov subspace approximation is utilized to effectively reduce the problem dimension, and an accurate dense output formula is established to enable the method adopting larger simulation step size and revealing higher frequency dynamic details simultaneously. Accuracy, numerical stability and computation efficiency is demonstrated through numerical case studies.

KW - Krylov subspace

KW - dense output

KW - electromagnetic transient simulation

KW - matrix exponential

UR - https://www.scopus.com/pages/publications/84930995217

U2 - 10.1109/PESGM.2014.6939291

DO - 10.1109/PESGM.2014.6939291

M3 - Conference contribution

AN - SCOPUS:84930995217

T3 - IEEE Power and Energy Society General Meeting

BT - 2014 IEEE PES General Meeting / Conference and Exposition

PB - IEEE Computer Society

T2 - 2014 IEEE Power and Energy Society General Meeting

Y2 - 27 July 2014 through 31 July 2014

ER -

Wang C, Fu X, Li P, Yu H, Ding C, Song G et al. Matrix exponential based electromagnetic transients simulation algorithm with Krylov subspace approximation and accurate dense output. In 2014 IEEE PES General Meeting / Conference and Exposition. October ed. IEEE Computer Society. 2014. 6939291. (IEEE Power and Energy Society General Meeting; October). doi: 10.1109/PESGM.2014.6939291

Matrix exponential based electromagnetic transients simulation algorithm with Krylov subspace approximation and accurate dense output

Abstract

Publication series

Conference

Keywords

UN SDGs

Access to Document

Other files and links

Fingerprint

Cite this