Original scientific paper

https://doi.org/10.17559/TV-20180327173716

Constrained-Group-Delay-Optimized Multiple-Resonator-Based Harmonic Analysis

Miodrag D. Kušljević* orcid.org/0000-0002-8321-8878 ; Termoelektro Enel AD, 11010 Belgrade, Bačvanska 21/III, Serbia
Josif J. Tomić orcid.org/0000-0003-2014-096X ; University of Novi Sad, 21000 Novi Sad, Trg Dositeja Obradovića 6, Serbia
Predrag D. Poljak orcid.org/0000-0001-9810-8957 ; Institute of Chemistry, Technology and Metallurgy, 11000 Beograd, Njegoševa 12, Serbia

Abstract

Recently, a multiple-resonator structure was proposed as a robust and computationally efficient tool for harmonic analysis. Two trivial cases have been previously observed. The first case exhibits good out-of-band suppression and elimination of unwanted harmonics, but with a high latency. In the second case, a phase frequency response around the passband centre is zero-flat, that provides fast estimates. However, in this case, resonant peaks at the ends of the passband and high interharmonic gains cause large overshoots. In general, the basic algorithm performance requirements: selectivity and speed, are contradictory which makes it impossible to completely fulfil both of them. In this paper, the Constrained Linear Least-Squares (CLLS) optimization method is used to obtain a compromise solution. As a result, the resonant peaks in the passband are avoided and side lobes are mitigated, simultaneously minimizing the group delay in the middle of the passband. Performed simulations confirmed the effectiveness of the proposed algorithm.

Keywords

Constrained Linear Least-Squares (CLLS); frequency response; group delay; harmonic analysis; multiple-resonator; recursive algorithm

Hrčak ID:

260803

URI

https://hrcak.srce.hr/260803

Publication date:

22.7.2021.

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