Şahin SÖNMEZ

REKASIUS YÖNTEMİ KULLANILARAK ZAMAN GECİKMELİ JENERATÖR UYARMA KONTROL SİSTEMİNİN MAKSİMUM ZAMAN GECİKMESİNİN HESAPLANMASI

Bu çalışma, otomatik gerilim regülatörü (OGR) ve güç sistem dengeleyici (GSD) içeren zaman gecikmeli jeneratör uyarma kontrol sisteminin Rekasius yerine koyma yöntemi kullanılarak zaman gecikmesine bağlı kararlılığını incelemektedir. Sistemin kararlılığını kaybetmeden çalışabileceği zaman gecikmesi üst sınırının hesaplanması için Rekasius yönteminin farklı bir prosedürü kullanılmıştır. Önerilen yöntem, ilk olarak uyarma kontrol sisteminin karakteristik denkleminde bulunan üstel terimi herhangi bir yaklaşık içermeyen bir eşitlik yardımıyla elimine etmekte ve karakteristik denklemi sıradan bir polinoma dönüştürmekte ve daha sonra, sistemin sanal eksen üzerindeki köklerine karşılık gelen maksimum zaman gecikmesi değerlerini hesaplamaktadır. Jeneratör uyarma kontrol sisteminin kararlılık analizi için tek makineli sonsuz baralı (TMSB) bir güç sistemi seçilmiş ve GSD kazanç değerleri için sistemin zaman gecikmesi değerleri hesaplanmıştır. Elde edilen sonuçların doğruluğu, üstel terim içeren polinomların köklerini hesaplamak için geliştirilen QPmR (the quasi-polynomial mapping-based root finder) algoritması ve zaman düzleminde gerçekleştirilen benzetim çalışmaları ile gösterilmiştir.

Anahtar Kelimeler:

Haberleşme zaman gecikmesi, kararlılık, jeneratör uyarma kontrol sistemi, QPmR algoritması, Rekasius yöntemi

DELAY MARGIN COMPUTATION OF A TIME DELAYED GENERATOR EXCITATION CONTROL SYSTEM USING REKASIUS SUBSTITUON

This paper investigates the delay-dependent stability analysis of a time delayed generator excitation control system including an automatic voltage regulator and a power system stabilizer (PSS) using Rekasius substitution. A modified Rekasius substitution method is proposed to compute delay margin for which the system is marginally stable. The proposed method first eliminates transcendental terms in characteristic equation of the excitation control system without making any approximation and then, computes stability delay margins corresponding to purely imaginary roots with the crossing frequency. In this study, a single-machine-infinite-bus system is chosen as a test system. For a wide range of PSS gains, delay margins of the control system are computed. The accuracy of complex roots and delay margins are verified by using an independent algorithm, the quasi-polynomial mapping-based root finder (QPmR) and time-domain simulations, respectively.

Keywords:

Communication time delay, stability, generator excitation control system, QPmR Algorithm, Rekasius substitution,

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