# Accelerating transient simulation of linear reduced order models.

## Abstract

Model order reduction (MOR) techniques have been used to facilitate the analysis of dynamical systems for many years. Although existing model reduction techniques are capable of providing huge speedups in the frequency domain analysis (i.e. AC response) of linear systems, such speedups are often not obtained when performing transient analysis on the systems, particularly when coupled with other circuit components. Reduced system size, which is the ostensible goal of MOR methods, is often insufficient to improve transient simulation speed on realistic circuit problems. It can be shown that making the correct reduced order model (ROM) implementation choices is crucial to the practical application of MOR methods. In this report we investigate methods for accelerating the simulation of circuits containing ROM blocks using the circuit simulator Xyce.

- Authors:

- Publication Date:

- Research Org.:
- Sandia National Laboratories

- Sponsoring Org.:
- USDOE

- OSTI Identifier:
- 1029817

- Report Number(s):
- SAND2011-6223

TRN: US201201%%226

- DOE Contract Number:
- AC04-94AL85000

- Resource Type:
- Technical Report

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE; IMPLEMENTATION; SIMULATION; SIMULATORS; TRANSIENTS; VELOCITY

### Citation Formats

```
Thornquist, Heidi K., Mei, Ting, Keiter, Eric Richard, and Bond, Brad.
```*Accelerating transient simulation of linear reduced order models.*. United States: N. p., 2011.
Web. doi:10.2172/1029817.

```
Thornquist, Heidi K., Mei, Ting, Keiter, Eric Richard, & Bond, Brad.
```*Accelerating transient simulation of linear reduced order models.*. United States. doi:10.2172/1029817.

```
Thornquist, Heidi K., Mei, Ting, Keiter, Eric Richard, and Bond, Brad. Sat .
"Accelerating transient simulation of linear reduced order models.". United States.
doi:10.2172/1029817. https://www.osti.gov/servlets/purl/1029817.
```

```
@article{osti_1029817,
```

title = {Accelerating transient simulation of linear reduced order models.},

author = {Thornquist, Heidi K. and Mei, Ting and Keiter, Eric Richard and Bond, Brad},

abstractNote = {Model order reduction (MOR) techniques have been used to facilitate the analysis of dynamical systems for many years. Although existing model reduction techniques are capable of providing huge speedups in the frequency domain analysis (i.e. AC response) of linear systems, such speedups are often not obtained when performing transient analysis on the systems, particularly when coupled with other circuit components. Reduced system size, which is the ostensible goal of MOR methods, is often insufficient to improve transient simulation speed on realistic circuit problems. It can be shown that making the correct reduced order model (ROM) implementation choices is crucial to the practical application of MOR methods. In this report we investigate methods for accelerating the simulation of circuits containing ROM blocks using the circuit simulator Xyce.},

doi = {10.2172/1029817},

journal = {},

number = ,

volume = ,

place = {United States},

year = {Sat Oct 01 00:00:00 EDT 2011},

month = {Sat Oct 01 00:00:00 EDT 2011}

}