Zaman Gecikmeli Elektrik Güç Sistemlerinin Gecikmeye Bağlı Kararlılık Bölgelerinin Hesaplanması

Bu çalışma, bir özdeğer izleme yöntemi kullanarak güç sistem dengeleyici (GSD) ve otomatik gerilim regülatörü (OGR) içeren zaman gecikmeli jeneratör uyarma kontrol sisteminin zaman gecikmeleri düzleminde kararlılık bölgesini elde etmeyi ve zaman gecikmesine bağlı kararlılık analizini incelemektedir. Elektrik güç sistemlerinde gerilim ve frekans kararlılığının sürdürülmesi bakımından haberleşme alt yapısına ve ölçme sistemlerine ihtiyaç duyulmaktadır. Ancak, haberleşme alt yapısı ve ölçme sistemlerinden dolayı sistemin dinamik davranışını ve kararlılığını olumsuz etkileyen zaman gecikmeleri meydana gelmektedir. Bu çalışmada, jeneratör uyarma kontrol sisteminin durum denklem modellerini kullanarak özdeğerlerini ve bu özdeğerlere karşılık gelen zaman gecikmesi değerlerini belirleyen bir yöntem kullanılmıştır. Ayrıca, bu gecikme değerleri kullanılarak gecikmeye bağlı bir kararlılık bölgesi elde edilmiştir. Kararlılık analizleri için, GSD ve OGR içeren tek makineli sonsuz baralı (TMSB) bir güç sistemi seçilmiştir. Gecikmeye bağlı kararlılık bölgelerinin doğruluğu, zaman düzleminde gerçekleştirilen benzetim çalışmaları ve zaman gecikmeli sistemlerin köklerini kompleks düzlemde hesaplayan QPmR (the quasi-polynomial mapping-based root finder) algoritması ile gösterilmiştir.

Anahtar Kelimeler:

Jeneratör uyarma kontrol sistemi, Haberleşme zaman gecikmesi, Özdeğer izleme yöntemi, QPmR algoritması

Computation of Delay-Dependent Stability Regions for Electric Power Systems with Time Delay

This work investigates delay-dependent stability analysis and stability regions in time delays space using eigenvalue tracing method for a time-delayed generator excitation control system including a power system stabilizer (PSS) and an automatic voltage regulator (AVR). Electrical power systems need to communication networks and measurement systems for keeping the voltage and frequency stability. However, the utilizing of communication networks and measurement systems causes inevitable time delays which deteriorate the system dynamical behavior. In the study, a simple method finding delay margin values and critical eigenvalues considering state-space equations of the excitation control system are used. Also, the stability regions using the obtained delay margin values are determined. For the stability analysis, a single-machine-infinite-bus (SMIB) system including AVR and PSS is assigned as a test system. The accuracy of the delay-dependent stability regions are verified by time-domain simulations and the quasi-polynomial mapping-based root finder (QPmR) algorithm which demonstrates the dominant roots of time-delayed systems in complex plane, respectively.

Keywords:

Generator excitation control system, communication time delay, QPmR algorithm, eigenvalue tracing method,

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