Title: Design Optimization of Low-Pass Filter with Exponential Transmission Lines Using Differential Evolutionary Algorithm

Abstract: In this work, Differential Evolutionary Algorithm (DEA), a novel and commonly used optimization algorithm in engineering problems, is applied for the design optimization of a low pass filter with exponential transmission lines. Basically the principle of DEA is similar to genetic algorithms techniques, however compare to meta-heuristic algorithms it has a much simpler algorithm structure and higher stability compare to its counterpart algorithms. For design optimization of low pass filter with exponential transmission lines, each of the transmission lines width and variation with its length are taken as an optimization variable for DEA. Firstly the unit microstrip transmission line model is chosen. After that, the optimal value of widths and lengths are obtained via DEA. The cost function of the DEA is based on the calculation of scattering parameters of candidate's solutions crossed the requested frequency bandwidth.

Keywords: Optimization; differential evolutionary algorithm; exponential transmission lines; low-pass filter

Başlık: Diferansiyel Evrim Algoritması Kullanılarak Eksponansiyel Hatlar ile Alçak Geçiren Filtre Tasarımı

Özet: Son yıllarda diferansiyel evrim algoritması (DEA) yöntemi mühendislik problemlerinin çözümünde etkin olarak kullanlmaya başlanmıştır. Bu çalışmada DEA yöntemi mikroşerit hatlar kullanılarak alçak geçiren filtre tasarımına uygulanmıştır. DEA ile optimum bir mikroşerit alçak geçiren filtre tasarımı için, eksponansiyel mikroşerit iletim hatları birim hat parçalarına bölünerek genişlik ve uzunluğa göre empedans değişimi incelenmiştir. Mikroşerit hattın genişliği değiştirilerek veya değişik geometrilerde başka metal şeritler kullanarak hemen hemen her türlü pasif mikrodalga devresi elde edilebilmektedir. DEA bu hatlara ait optimum genişlik ve uzunlukları ayarlanmıştır. Aday devrenin saçılma parametreleri incelenerek maliyet fonsiyonu incelenmiştir. Yapılan incelemeler sonucunda optimum sonuçları sağlayan parametreler elde edilecek şekilde belirlenmiştir. Son olarak, DEA kullanılarak eksponansiyel hatlar ile alçak geçiren filtre tasarımı yapılmıştır.

Anahtar kelimeler: Optimizasyon; diferansiyel evrim algoritması; eksponensiyel hatlar; alçak geçiren filtre

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