Adaptive DAE solving algorithm for power system transient simulation via matrix exponential operator

Peng Li; Xiaopeng Fu; Chengshan Wang; Hao Yu; Chengdi Ding; Guanyu Song; Jinli Zhao; Dun Lin; Feng Xing

doi:10.1109/APPEEC.2014.7066054

Adaptive DAE solving algorithm for power system transient simulation via matrix exponential operator

Peng Li^*, Xiaopeng Fu, Chengshan Wang, Hao Yu, Chengdi Ding, Guanyu Song, Jinli Zhao, Dun Lin, Feng Xing

^*Corresponding author for this work

Research output: Contribution to journal › Conference article › peer-review

1 Citation (Scopus)

Abstract

The ever-increasing scale of system interconnection and diverse dynamic time constants of power equipment pose challenges to power system transient simulation algorithms. In this paper, an adaptive numerical integration method for DAE systems based on matrix exponential operator is presented. Krylov subspace technique is utilized to effectively reduce the problem dimension. A novel step adaption scheme is established to enable the method adjusting the computation step size according to error budget while maintaining the output step size unchanged. Acceleration is accomplished without perceived degradation in the simulation results. Numerical performance and computation efficiency is demonstrated through numerical case studies.

Original language	English
Article number	7066054
Journal	Asia-Pacific Power and Energy Engineering Conference, APPEEC
Volume	2015-March
Issue number	March
DOIs	https://doi.org/10.1109/APPEEC.2014.7066054
Publication status	Published - 23 Mar 2014
Externally published	Yes
Event	6th IEEE PES Asia-Pacific Power and Energy Engineering Conference, APPEEC 2014 - Kowloon, Hong Kong Duration: 7 Dec 2014 → 10 Dec 2014

Keywords

Krylov subspace
matrix exponential
transient simulation
variable step

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10.1109/APPEEC.2014.7066054

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title = "Adaptive DAE solving algorithm for power system transient simulation via matrix exponential operator",

abstract = "The ever-increasing scale of system interconnection and diverse dynamic time constants of power equipment pose challenges to power system transient simulation algorithms. In this paper, an adaptive numerical integration method for DAE systems based on matrix exponential operator is presented. Krylov subspace technique is utilized to effectively reduce the problem dimension. A novel step adaption scheme is established to enable the method adjusting the computation step size according to error budget while maintaining the output step size unchanged. Acceleration is accomplished without perceived degradation in the simulation results. Numerical performance and computation efficiency is demonstrated through numerical case studies.",

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T1 - Adaptive DAE solving algorithm for power system transient simulation via matrix exponential operator

AU - Li, Peng

AU - Fu, Xiaopeng

AU - Wang, Chengshan

AU - Yu, Hao

AU - Ding, Chengdi

AU - Song, Guanyu

AU - Zhao, Jinli

AU - Lin, Dun

AU - Xing, Feng

PY - 2014/3/23

Y1 - 2014/3/23

N2 - The ever-increasing scale of system interconnection and diverse dynamic time constants of power equipment pose challenges to power system transient simulation algorithms. In this paper, an adaptive numerical integration method for DAE systems based on matrix exponential operator is presented. Krylov subspace technique is utilized to effectively reduce the problem dimension. A novel step adaption scheme is established to enable the method adjusting the computation step size according to error budget while maintaining the output step size unchanged. Acceleration is accomplished without perceived degradation in the simulation results. Numerical performance 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 transient simulation algorithms. In this paper, an adaptive numerical integration method for DAE systems based on matrix exponential operator is presented. Krylov subspace technique is utilized to effectively reduce the problem dimension. A novel step adaption scheme is established to enable the method adjusting the computation step size according to error budget while maintaining the output step size unchanged. Acceleration is accomplished without perceived degradation in the simulation results. Numerical performance and computation efficiency is demonstrated through numerical case studies.

KW - Krylov subspace

KW - matrix exponential

KW - transient simulation

KW - variable step

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DO - 10.1109/APPEEC.2014.7066054

M3 - Conference article

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SN - 2157-4839

VL - 2015-March

JO - Asia-Pacific Power and Energy Engineering Conference, APPEEC

JF - Asia-Pacific Power and Energy Engineering Conference, APPEEC

IS - March

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T2 - 6th IEEE PES Asia-Pacific Power and Energy Engineering Conference, APPEEC 2014

Y2 - 7 December 2014 through 10 December 2014

ER -

Adaptive DAE solving algorithm for power system transient simulation via matrix exponential operator

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