Tuning the Parameters of Power System Stabilizer Using Runge Kutta Algorithm

Abstract

Low-frequency oscillations due to unpredictable disturbances in an interconnected power grid are a serious threat to the stability of the power system. Reliable operation of a modern power system, when exposed to sudden disturbances, is crucial, and the safe operation of the system is directly related to success in damping oscillations. Power System Stabilizer (PSS) devices have been used to reduce fluctuations caused by short-time disturbances in power systems. These devices provide additional damping torque components to the generators as an auxiliary control device of the excitation system. Due to the non-linearity of electrical power systems, it is significant to design multi-machine power systems with optimum PSS parameters under critical conditions. In this paper, the PSS design problem was solved using the Runge Kutta Algorithm (RUN). The PSS design problem was considered an optimization problem in which an eigenvalue-based objective function has developed, and the proposed RUN method was tested in a WSCC 3-machine 9-bus test system using the linearized Heffron-Phillips model. In the linearized model, system stability has been enhanced by shifting the eigenvalues to the stability regions. When the results obtained from the test system are examined, it has seen that the proposed RUN is the most effective method in terms of system stability.

Keywords

• Power system stabilizer
• Runge Kutta algorithm
• Eigenvalue
• Heffron-Phillips model.

Runge Kutta Algoritması Kullanılarak Güç Sistemi Kararlı Kılıcısı Parametrelerinin Ayarlanması

Abstract

Enterkonnekte bir güç şebekesindeki öngörülemeyen bozulmalardan kaynaklanan düşük frekanslı salınımlar, güç sisteminin kararlılığı için ciddi bir tehdittir. Modern bir güç sisteminin ani kesintilere maruz kaldığında güvenilir şekilde çalışması çok önemlidir ve sistemin güvenli çalışması, salınımların sönümlenmesindeki başarı ile doğrudan ilişkilidir. Güç Sistemi Kararlı Kılıcıları (GSKK), güç sistemlerinde kısa süreli kesintilerden kaynaklanan dalgalanmaları azaltmak amacıyla kullanılmaktadır. Bu cihazlar, uyarma sisteminin yardımcı bir kontrol cihazı olarak, generatörlere ilave sönümleme torku bileşenleri sağlar. Elektrik güç sistemlerinin doğrusal olmaması nedeniyle, kritik koşullar altında en uygun PSS parametrelerine sahip çok makineli güç sistemleri tasarlamak önemlidir. Bu çalışmada, GSKK tasarım problemi Runge Kutta Algoritması (RUN) kullanılarak çözülmüştür. GSKK tasarım problemi, öz değer tabanlı bir amaç fonksiyonunun geliştirildiği bir optimizasyon problemi olarak düşünülmüş ve önerilen RUN yöntemi, doğrusallaştırılmış Heffron-Phillips modeli kullanılarak WSCC 3-makineli 9-baralı sistemde test edilmiştir. Doğrusallaştırılmış modelde, öz değerler kararlılık bölgelerine kaydırılarak sistem kararlılığı arttırılmıştır. Test sisteminden elde edilen sonuçlar incelendiğinde önerilen RUN yönteminin sistem kararlılığı açısından en etkili yöntem olduğu görülmüştür.

Keywords

• Güç Sistemi Kararlı Kılıcısı
• Runge Kutta Algoritması
• Özdeğer
• Heffron-Phillips modeli

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