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

Yıl 2019, , 783 - 795, 31.07.2019

Şahin Sönmez , Saffet Ayasun

https://doi.org/10.28948/ngumuh.539978

Cited By: 1

Öz

   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

Öz

   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.

Anahtar Kelimeler

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

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