A generalized classical method analysis of transient regimes in nonlinear electrical circuits by using differential taylor transform

Teymuraz Abbasov; Teoman Karadag; Cemal Keleş

Makale detayları

A generalized classical method analysis of transient regimes in nonlinear electrical circuits by using differential taylor transform

Yazarlar:

Teymuraz Abbasov | Teoman Karadag | Cemal Keleş

Yayıncı:

Pamukkale University

Ana Başlıklar:

Elektrik Mühendisliği (Diğer)

Dergi:

Pamukkale Üniversitesi Mühendislik Bilimleri Dergisi Vol.30 Issue 7, pp.912-923

Belge Tipi:

Makale

Yayın Tarihi:

12/2024

Belge Dili:

İngilizce

Document ID (Org No.):

2001335277

pISSN:

2147-5881

Anahtar kelimeler:

Özet:

 In this study, we consider the Generalized Classical GC method based on the differential Taylor DT transform method for the analysis of transient regimes in simple electrical circuits. The approximate solution of nonlinear differential equations of electrical circuits with variable coefficients is found by using the GC method. It is shown that, if the solution is decomposed as steady-state and the temporary components, the use of the GC method can become more advantageous, and the transient differential equation of the circuits can be analyzed without a fully solving process. The efficiency of the considered method is illustrated by compared with the results obtained from similar problems in the literature. The results reveal that the proposed method is very effective and simple and can be applied to the analysis of both linear and nonlinear problems in physical systems. The short history and real status of the DT transform method are mentioned briefly.

 In this study, we consider the Generalized Classical GC method based on the differential Taylor DT transform method for the analysis of transient regimes in simple electrical circuits. The approximate solution of nonlinear differential equations of electrical circuits with variable coefficients is found by using the GC method. It is shown that, if the solution is decomposed as steady-state and the temporary components, the use of the GC method can become more advantageous, and the transient differential equation of the circuits can be analyzed without a fully solving process. The efficiency of the considered method is illustrated by compared with the results obtained from similar problems in the literature. The results reveal that the proposed method is very effective and simple and can be applied to the analysis of both linear and nonlinear problems in physical systems. The short history and real status of the DT transform method are mentioned briefly.

 In this study, we consider the Generalized Classical GC method based on the differential Taylor DT transform method for the analysis of transient regimes in simple electrical circuits. The approximate solution of nonlinear differential equations of electrical circuits with variable coefficients is found by using the GC method. It is shown that, if the solution is decomposed as steady-state and the temporary components, the use of the GC method can become more advantageous, and the transient differential equation of the circuits can be analyzed without a fully solving process. The efficiency of the considered method is illustrated by compared with the results obtained from similar problems in the literature. The results reveal that the proposed method is very effective and simple and can be applied to the analysis of both linear and nonlinear problems in physical systems. The short history and real status of the DT transform method are mentioned briefly.

 Bu çalışmada, basit elektrik devrelerinde geçici rejimlerin analizi için diferansiyel Taylor DT dönüşümü yöntemini temel alan Genelleştirilmiş Klasik GK yöntemini ele alıyoruz. Değişken katsayılı elektrik devrelerinin doğrusal olmayan diferansiyel denklemlerinin yaklaşık çözümü GK yöntemi kullanılarak bulunur. Çözümün kararlı durum ve geçici bileşenler olarak ayrıştırılması durumunda GK yönteminin kullanımının daha avantajlı hale gelebileceği ve devrelerin geçici diferansiyel denkleminin tam bir çözme işlemi olmadan analiz edilebileceği gösterilmiştir. Ele alınan yöntemin etkinliği literatürdeki benzer problemlerden elde edilen sonuçlarla karşılaştırılarak gösterilmiştir. Sonuçlar, önerilen yöntemin çok etkili ve basit olduğunu ve fiziksel sistemlerdeki hem doğrusal hem de doğrusal olmayan problemlerin analizine uygulanabileceğini ortaya koymaktadır. DT dönüşüm yönteminin kısa tarihçesi ve gerçek durumundan kısaca bahsedilmiştir.

Makale detayları

A generalized classical method analysis of transient regimes in nonlinear electrical circuits by using differential taylor transform

Yazarlar:

Teymuraz Abbasov | Teoman Karadag | Cemal Keleş

Yayıncı:

Pamukkale University

Ana Başlıklar:

Elektrik Mühendisliği (Diğer)

Dergi:

Pamukkale Üniversitesi Mühendislik Bilimleri Dergisi Vol.30 Issue 7, pp.912-923

Belge Tipi:

Makale

Yayın Tarihi:

12/2024

Belge Dili:

İngilizce

Document ID (Org No.):

2001335277

pISSN:

2147-5881

Differential Taylor transform

Differential spectrums

Generalized classical method

Electrical circuit

Transient regimes

Differential equationsDiferansiyel Taylor dönüşümü

Diferansiyel spektrumlar

Genelleştirilmiş klasik yöntem

Elektrik devresi

Geçici rejimler

Diferansiyel denklemler

Sayı

Makale detayları

Yazarlar: Teymuraz Abbasov | Teoman Karadag | Cemal Keleş

Yayıncı: Pamukkale University

Ana Başlıklar: Elektrik Mühendisliği (Diğer)

Dergi: Pamukkale Üniversitesi Mühendislik Bilimleri Dergisi Vol.30 Issue 7, pp.912-923

Belge Tipi: Makale

Yayın Tarihi: 12/2024

Belge Dili: İngilizce

Document ID (Org No.): 2001335277

pISSN: 2147-5881

Sayı

Yazarlar:

Teymuraz Abbasov | Teoman Karadag | Cemal Keleş

Yayıncı:

Pamukkale University

Ana Başlıklar:

Elektrik Mühendisliği (Diğer)

Dergi:

Pamukkale Üniversitesi Mühendislik Bilimleri Dergisi Vol.30 Issue 7, pp.912-923

Belge Tipi:

Makale

Yayın Tarihi:

12/2024

Belge Dili:

İngilizce

Document ID (Org No.):

2001335277

pISSN:

2147-5881