Multi-objective Weighted Sum Approach Model Reduction by Routh-Pade Approximation using Harmony Search

Authors

HASAN NASIRI SOLOKLO
MALIHE MAGHFOORI FARSANGI

DOI

10.3906/elk-1112-31

Abstract

A new weighted-sum multiobjective approach is investigated for order reduction based on Routh--Padé approximation, in which the harmony search algorithm is used to optimize the reduced-order model's parameters. In this method, apart from minimizing the errors between a set of subsequent time moments/Markov parameters of the system and those of the model, the error between the singular values of the reduced-order system and those of the original system is minimized. The Routh criterion is applied for specifying the stability conditions. The stability condition is then considered as a constraint in the optimization problem. To present the ability of the proposed method, 3 test systems are reduced. The results obtained show that the proposed approach performs well.

Keywords

Routh--Padé approximation, harmony search algorithm, multiobjective, order reduction, stability constraints

First Page

2283

Last Page

2293

Recommended Citation

SOLOKLO, HASAN NASIRI and FARSANGI, MALIHE MAGHFOORI (2013) "Multi-objective Weighted Sum Approach Model Reduction by Routh-Pade Approximation using Harmony Search," Turkish Journal of Electrical Engineering and Computer Sciences: Vol. 21: No. 8, Article 13. https://doi.org/10.3906/elk-1112-31
Available at: https://journals.tubitak.gov.tr/elektrik/vol21/iss8/13