Stability Region of a Time-Delayed Single-Area Load Frequency Control System with Demand Response and Fractional-Order PI Controller

Year 2022, Volume: 12 Issue: 3, 1468 - 1476, 01.09.2022

Deniz Katipoğlu

https://doi.org/10.21597/jist.1100634

Abstract

In this research, the parameter values of the fractional order proportional-integral (FOPI) controller, which ensure the stability of the system, were calculated in a time-delay single area load frequency control (LFC) system with dynamic demand response (DDR). An efficient and simple graphical method had been applied to calculate all FOPI controller gains. For a given time delay, the method calculated all the compensating proportional-integral (PI) controller gains in the (𝐾𝑃, 𝐾𝐼) plane, which creates a stability region in the parameter space of the FOPI controller. This was done by equating the real and imaginary parts of the characteristic equation of the system to zero. Finally, for time-delayed single area LFC-DDR system with FOPI controller, results obtained were verified by using the timedomain simulation studies in Matlab/Simulink.

Keywords

Communication delay, load frequency control systems, dynamic demand response, fractional order PI control, stability region

Kesir Dereceli PI Denetleyici ve Dinamik Talep Cevabı İçeren Zaman Gecikmeli Bir Bölgeli Yük Frekans Kontrol Sistemlerinin Kararlılık Bölgelerinin Belirlenmesi

Abstract

Bu araştırmada, dinamik talep cevabı (DTC) içeren zaman gecikmeli bir bölgeli yük frekans kontrol (YFK) sisteminde kesir dereceli oransal - integral (FOPI) denetleyicinin sistemin kararlılığını garantileyen parametre değerleri hesaplanmıştır. Tüm FOPI kontrolör kazançlarını hesaplamak için etkili ve basit bir grafiksel yöntem uygulanmıştır. Belirli bir zaman gecikmesi için yöntem, FOPI denetleyicinin parametre uzayında bir kararlılık bölgesi oluşturan tüm dengeleyici orantılı-integral (PI) denetleyici kazançlarını (𝐾𝑃, 𝐾𝐼) düzleminde hesaplamaktadır. Bu işlem, sistemin karakteristik denkleminin reel ve sanal kısımları sıfıra eşitlenerek gerçekleştirilmiştir. Son olarak, Matlab/Simulink ortamında yapılan benzetim çalışmaları yardımıyla FOPI denetleyici içeren bir bölgeli YFK-DTC sistemi için elde edilen sonuçlar doğrulanmıştır.

Keywords

Haberleşme gecikmesi, yük frekans kontrol sistemleri, dinamik talep cevabı, kesir dereceli PI denetleyici, kararlılık bölgesi

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