Doğrusal olmayan yükler için gerilim kaynaklı PAF’nin GSSA metodu ile matematiksel modellenmesi

Year 2018, Volume: 22 Issue: 4, 1071 - 1079, 01.08.2018

Murat Tuna , Ayşe Ergün Amaç Süreyya Kocabey

https://doi.org/10.16984/saufenbilder.315352

Abstract

Bu çalışma ile iyi bilinen genelleştirilmiş
ortalama model kullanılarak gerilim kaynaklı paralel aktif filtrenin (PAF)
matematiksel olarak modellenmesi amaçlanmaktadır. Bu amaç için genelleştirilmiş
durum uzay ortalama metodu (GSSA) uyarlanmıştır. Sistemin doğrusalsızlığı GSSA
yöntemi ile kaldırılır. Sistemin durum denklemleri arasındaki bağıntı doğrusal
denklemler ile ifade edilir. Sistem parametrelerine tam ve hızlı bir yakınsama
sağlanır. Bu yöntem sayesinde uzun çalışma süresi, sapma ve büyük dosya
boyutları gibi birçok soruna neden olan doğrusal olmayan gerçek devre
elemanları ortadan kaldırılmıştır. Paralel aktif filtre olarak tek fazlı tam
köprü voltaj besleme invertörü önerilmiştir. Doğrusal olmayan yük olarak RL
yüklü diyot doğrultucu devresi kullanılmıştır. Bu çalışma sonucunda, GSSA
yöntemi ile matematiksel olarak modellenen paralel aktif filtrenin benzetim
sonuçları ile PSIM yazılımıyla gerçek zamanlı tasarlanan paralel aktif
filtrenin güç benzetim sonuçları karşılaştırılmıştır. Matematiksel model ile
gerçek model üzerinden alınan sonuçlarda iyi bir eşleşme olduğu
gözlemlenmiştir.

Keywords

genelleştirilmiş durum uzay ortalama metodu (GSSA), harmonik filtre, parallel aktif filtre (PAF), PSIM

Mathematical modelling of PAF with voltage supply for non-linear loads By GSSA method

Abstract

This work aims to improve well known
generalized averaged models for mathematical modelling of parallel active
filter (PAF) with voltage supply. To achieve this task, the method is adopted
to generalized state space averaging (GSSA) method. Non-linearity of the system
is removed by using GSSA method. Relation between the state variables of the
system is expressed by linear equations. An exact and fast approximation of the
system parameters is achieved. Non-linearity of real elements that causes many
problems such as long execution time, divergence, and huge produced files do
not exist thanks to the method. A single phase full-bridge voltage supply
inverter is proposed as a parallel active filter. A diode rectifier with RL
load is used as a nonlinear load. In this study, simulation results of parallel
active filter mathematically modeled with GSSA model are compared to real-time
designed simulation results of parallel active filter realized power simulation
with PSIM software. In the results obtained through mathematical models with
real model has been observed that a good match.

Keywords

generalized state space averaging method (GSSA), harmonic filter, parallel active filter (PAF), PSIM

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