Structure-preserving model reduction with applications to power system dynamic equivalents

Author

Tsai, Yu-kun ; Narasimhamurthi, Natarajan ; Wu, Felix F.

Volume

29

Issue

8

fYear

1982

fDate

8/1/1982 12:00:00 AM

Firstpage

525

Lastpage

535

Abstract

Consider systems that have an intrinsic mathematical representation of the form: $A_{n}x^{(n)}+ \\cdots + A_{0}x = Bu$ , where $x^{(i)}$ is the $i$ th derivative of $x$ , and $x^{(i)}(0)= 0, i = 1, \\cdots , n-1$ . The matrices $A_{i}$ may possess certain properties. The problem is to construct a reduced model having the same form with corresponding matrices $\\bar{A}_{i}$ of smaller dimension and possessing the same properties. An algorithm for this structure-preserving model reduction is presented. An algorithm for constructing an approximate reduced model, called $\\epsilon$ -structure preserving reduced model is also presented, together with the error bounds. The application of the method to power system dynamic equivalents is described.

Keywords

Large-scale networks and systems; Large-scale systems; Power system modeling; Digital filters; Laboratories; Mathematical model; Microprocessors; Power engineering and energy; Power system dynamics; Power system interconnection; Power system modeling; Reduced order systems; Signal processing algorithms;

fLanguage

English

Journal_Title

Circuits and Systems, IEEE Transactions on

Publisher

ieee

ISSN

0098-4094

Type

jour

DOI

10.1109/TCS.1982.1085193

Filename

1085193