Application of Chaotic Maps to Economic Load Dispatch Problem

Mehmet Safa Aydın; Ertuğrul Çam

Makale detayları

Application of Chaotic Maps to Economic Load Dispatch Problem

Yazarlar:

Mehmet Safa Aydın | Ertuğrul Çam

Yayıncı:

Giresun University

Ana Başlıklar:

Elektrik Tesisleri

Dergi:

Karadeniz Fen Bilimleri Dergisi Vol.14 Issue 3, pp.1630-1639

Belge Tipi:

Makale

Yayın Tarihi:

9/2024

Belge Dili:

İngilizce

Document ID (Org No.):

2001326826

pISSN:

2564-7377

Anahtar kelimeler:

Özet:

 This paper aims to solve the economic load dispatch problem ELD by using random numbers generated by chaotic maps with particle swarm optimization PSO. The randomly generated coefficients r1 and r2 in the velocity equation of the PSO algorithm are generated by three different chaotic map methods namely logistic map, gaussian map, and tent map. As a result, three different methods are proposed: PSO with logistic map LMPSO, PSO with Gaussian map GMSPO, and PSO with tent map TMPSO. These algorithms are applied to a 40-unit test system that includes transmission line losses, and the results are compared with the standard PSO algorithm. Each algorithm was run 50 times, and the maximum, minimum, and average values were recorded. All the proposed methods found lower costs than the standard PSO algorithm. Although the lowest cost was achieved with the GMPSO algorithm, the LMPSO algorithm was observed to be more successful on average.

 This paper aims to solve the economic load dispatch problem ELD by using random numbers generated by chaotic maps with particle swarm optimization PSO. The randomly generated coefficients r1 and r2 in the velocity equation of the PSO algorithm are generated by three different chaotic map methods namely logistic map, gaussian map, and tent map. As a result, three different methods are proposed: PSO with logistic map LMPSO, PSO with Gaussian map GMSPO, and PSO with tent map TMPSO. These algorithms are applied to a 40-unit test system that includes transmission line losses, and the results are compared with the standard PSO algorithm. Each algorithm was run 50 times, and the maximum, minimum, and average values were recorded. All the proposed methods found lower costs than the standard PSO algorithm. Although the lowest cost was achieved with the GMPSO algorithm, the LMPSO algorithm was observed to be more successful on average.

 This paper aims to solve the economic load dispatch problem ELD by using random numbers generated by chaotic maps with particle swarm optimization PSO. The randomly generated coefficients r1 and r2 in the velocity equation of the PSO algorithm are generated by three different chaotic map methods namely logistic map, gaussian map, and tent map. As a result, three different methods are proposed: PSO with logistic map LMPSO, PSO with Gaussian map GMSPO, and PSO with tent map TMPSO. These algorithms are applied to a 40-unit test system that includes transmission line losses, and the results are compared with the standard PSO algorithm. Each algorithm was run 50 times, and the maximum, minimum, and average values were recorded. All the proposed methods found lower costs than the standard PSO algorithm. Although the lowest cost was achieved with the GMPSO algorithm, the LMPSO algorithm was observed to be more successful on average.

 Bu çalışmada kaotik haritalar ile üretilen rassal sayıların parçacık sürü optimizasyonu PSO ile kullanılarak ekonomik yük dağıtımı probleminin EYD çözülmesi hedeflenmiştir. PSO algoritmasının hız denkleminde yer alan ve rastgele oluşturulan r1 ve r2 katsayıları Lojistik kaotik harita metodu ile oluşturularak Lojistik haritalı PSO LMPSO, gauss kaotik harita metodu ile oluşturularak gauss haritalı PSO GMPSO ve çadır kaotik harita metodu ile oluşturularak çadır haritalı PSO TMPSO metotları oluşturulmuştur. Oluşturulan bu algoritmalar iletim hattı kayıplarının dahil edildiği 40 üniteli test sistemine uygulanmış ve sonuçlar standart PSO algoritması ile karşılaştırılmıştır. Her algoritma 50 defa çalıştırılmış ve maksimum, minimum ve ortalama değerler kaydedilmiştir. Önerilen metotların hepsi standart PSO algoritmasından daha düşük maliyetler bulmuştur. En düşük maliyete GMPSO algoritması ile ulaşılmış olsa da ortalamada LMPSO algoritmasının daha başarılı olduğu gözlenmiştir.

Makale detayları

Application of Chaotic Maps to Economic Load Dispatch Problem

Yazarlar:

Mehmet Safa Aydın | Ertuğrul Çam

Yayıncı:

Giresun University

Ana Başlıklar:

Elektrik Tesisleri

Dergi:

Karadeniz Fen Bilimleri Dergisi Vol.14 Issue 3, pp.1630-1639

Belge Tipi:

Makale

Yayın Tarihi:

9/2024

Belge Dili:

İngilizce

Document ID (Org No.):

2001326826

pISSN:

2564-7377

Economic Load Dispatch

Particle Swarm Optimization

Chaotic Maps

OptimizationEkonomik Yük Dağıtımı

Parçacık Sürü Optimizasyonu

Kaotik Haritalar

Optimizasyon

Sayı

Makale detayları

Yazarlar: Mehmet Safa Aydın | Ertuğrul Çam

Yayıncı: Giresun University

Ana Başlıklar: Elektrik Tesisleri

Dergi: Karadeniz Fen Bilimleri Dergisi Vol.14 Issue 3, pp.1630-1639

Belge Tipi: Makale

Yayın Tarihi: 9/2024

Belge Dili: İngilizce

Document ID (Org No.): 2001326826

pISSN: 2564-7377

Sayı

Yazarlar:

Mehmet Safa Aydın | Ertuğrul Çam

Yayıncı:

Giresun University

Ana Başlıklar:

Elektrik Tesisleri

Dergi:

Karadeniz Fen Bilimleri Dergisi Vol.14 Issue 3, pp.1630-1639

Belge Tipi:

Makale

Yayın Tarihi:

9/2024

Belge Dili:

İngilizce

Document ID (Org No.):

2001326826

pISSN:

2564-7377