Acceleration Harmonic Estimation for Hydraulic Shaking Table Using Bat Algorithm

Abstract

The bat algorithm is a metaheuristic algorithm that have been presented to the literature by Yang in 2010 and modeled the echolocation behaviors of natural living bats. Echolocation is expressed as position determination using sound. Echolocation plays an important role in the life stages of bats such as hunting, hiding and perching. In this study, an estimation approach based on the bat algorithm was proposed and this approach was used to solve the acceleration harmonic estimation problem for the hydraulic shaking table system. The hydraulic shaking table is a non-linear system with electrical and mechanical components. This system is an important test system especially used in structural and ground analysis of construction and earthquake engineers. The most important problem that reduces the performance of this system and decreases the control capability is the harmonics. In addition, the harmonics have a negative effect on the operation of the hydraulic shaking table and the obtained experimental results. Therefore, the estimation and elimination of harmonics is an important literature problem. Accordingly, literature approaches that offer a fast and effective solution are important. In recent years, metaheuristic algorithms and their acceleration harmonic estimation performance have gained considerable importance. In this study, bat algorithm based approach is applied to the harmonic estimation problem suggested in the literature containing 6 harmonics. The acceleration harmonic estimation was performed for 6 amplitude and 6 phase values. The obtained results are compared in terms of estimation accuracy with the proposed particle swarm optimization algorithm based approach. Estimated values are evaluated in terms of relative error. In addition, the literature test signal was compared with the reproduced signal from the estimated values by the bat algorithm. It has been observed that bat algorithm performs better than particle swarm optimization algorithm with respect to both convergence speed and acceleration harmonic estimation accuracy. As a result, the bat algorithm offers a key solution for the problem of acceleration harmonic estimation of the hydraulic shaking table which is sought in the literature with its high accuracy and effective computational efficiency.

Keywords

• Bat algorithm
• Acceleration harmonic estimation
• Hydraulic shaking table
• Optimization
• Harmonic distortion

Yarasa Algoritması Kullanarak Hidrolik Sarsma Tablası için İvme Harmonik Kestirimi

Öz

Yarasa algoritması, doğada yaşayan yarasaların ekolokasyon davranışlarını modelleyen sezgisel bir algoritmadır. Bu çalışmada, Yarasa algoritması hidrolik sarsma tablası sistemi için harmonik kestirim probleminin çözümünde kullanılmıştır. Hidrolik sarsma tablası, elektriksel ve mekaniksel parçaları barındıran doğrusal olmayan bir sistemdir. Bu sistemin performansını düşüren ve kontrol kabiliyetini azaltan en önemli problem harmoniklerdir. Harmoniklerin kestirilmesi ve yok edilmesi önemli bir literatür problemidir. Bu nedenle, hızlı ve etkin çözüm sunan yaklaşımlar önemlidir. Son yıllarda, sezgisel algoritmaların harmonik kestirim performansı oldukça önem kazanmıştır. Yarasa algoritması, 6 harmonik içeren önerilen harmonik kestirim problemine uygulanmış ve elde edilen sonuçlar parçacık sürü optimizasyonu algoritması ile karşılaştırılmıştır. Yarasa algoritmasının, hem yakınsama hızı açısından hem de harmonik kestirim doğruluğu açısından parçacık sürü optimizasyonu algoritmasına göre daha iyi performans gösterdiği izlemlenmiştir. Sonuç olarak, Yarasa algoritması yüksek doğruluk ve etkin hesaplama gücü ile literatürde çözümü aranan hidrolik sarsım tablası harmonik kestirim problemi için bir anahtar çözüm sunmaktadır.

Anahtar Kelimeler

• Yarasa algoritması
• ivme harmonik kestirim
• hidrolik sarsma tablası
• optimizasyon

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