SOLUTION TO NONCONVEX ECONOMIC DISPATCH PROBLEM WITH VALVE POINT EFFECT BY HARMONY SEARCH ALGORITHM

Yıl 2012, Sayı: 028, 35 - 52, 15.08.2012

Serdar Özyön , Celal Yaşar , Hasan Temurtas

Öz

In literature, economic power dispatch problems are generally
categorized as convex and nonconvex optimization problems. In this study, harmony search algorithm (HSA)
has been used for the solution of the economic dispatch problem with valve point
effect. In these this kind of problems, fuel cost curve increases as sinusoidal
oscillations. In the solution of the problem B loss matrix has been used for
the calculation of the line losses. Total fuel cost has been minimized under
electrical constraints. HSA method has been applied to three different test
systems one with 6 buses 3 generators, the other with 14 buses 5 generators
(IEEE) and the last one with 30 buses 6 generators (IEEE). The solution of the test systems have been obtained by
improving a programme in MATLAB R2010a. The obtained optimum solution values have been compared with optimum
solution values obtained by the application of different methods in literature
and the results of them have been discussed.

Anahtar Kelimeler

Economic power dispatch, Valve point effects, Non-convex functions, Harmony search algorithm

VALF NOKTA ETKİLİ KONVEKS OLMAYAN EKONOMİK GÜÇ DAĞITIM PROBLEMLERİNİN HARMONİ ARAMA ALGORİTMASIYLA ÇÖZÜMÜ

Öz

Literatürde ekonomik güç dağıtım problemleri konveks ve konveks olmayan
olarak iki grupta incelenmektedir. Bu çalışmada valf nokta etkili konveks
olmayan ekonomik güç dağıtım probleminin çözümü için harmoni arama algoritması (HAA)
kullanılmıştır. Bu tür problemlerde yakıt maliyet eğrisi sinüzoidal
dalgalanmalar şeklinde artmaktadır. Problemin çözümünde hat kayıplarının
hesaplanması için B kayıp matrisi kullanılmıştır. Toplam yakıt maliyeti
elektriksel kısıtlar altında minimize edilmiştir. HAA metodu 6 baralı 3
generatörlü, 14 baralı 5 generatörlü (IEEE) ve 30 baralı 6 generatörlü (IEEE)
olmak üzere üç farklı test sistemine uygulanmıştır. MATLAB R2010a’da bir program geliştirilerek test
sistemlerinin çözümleri elde edilmiştir. Bulunan optimal çözüm değerleri, literatürde farklı metotlar
uygulanarak bulunan optimal çözüm değerleriyle karşılaştırılmış ve sonuçlar
tartışılmıştır.

Anahtar Kelimeler

Ekonomik güç dağıtımı, Valf nokta etkileri, Konveks olmayan fonksiyonlar, Harmoni arama algoritması

Kaynakça

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