Small signal analysis of peak current mode controlled Zeta converter

Yıl 2017, Cilt: 21 Sayı: 2, 270 - 277, 01.04.2017

Abdurrahman Yılmaz Muhammet Garip

https://doi.org/10.16984/saufenbilder.277598

Öz

In this study, small signal
analysis of peak current-mode controlled, non-isolated Zeta converter is
presented. The PWM-switch model in Continuous Conduction Mode (CCM) is
utilized in the analysis. The control to output voltage transfer function is
derived in symbolic form including the esr of the output capacitor. The exact
zeros of the transfer function are given in symbolic form. However, the peak
current-mode PWM-switch model yields 5^th order polynomial in its
denominator, which necessitates approximate root analysis in finding the
symbolic equations of its poles and quality factors. By using this analysis,
the approximate poles and quality factors also derived symbolically in the
paper.* 

Anahtar Kelimeler

zeta converter, pwm-switch model, peak current-mode control

Tepe akım modu kontrollü Zeta dönüştürücünün küçük işaret analizi

Öz

Bu
çalışmada, tepe akım-modu kontrollü, izole edilmemiş Zeta dönüştürücünün küçük
işaret analizi sunulmuştur. Yapılan analizde PWM anahtarlama modeli Sürekli
İletim Modu’nda (SİM) değerlendirilmiştir. Kontrol işaretinden çıkış
gerilimine olan transfer fonksiyonu çıkış kondansatöründeki esr (eşdeğer seri
direnç) de dâhil olmak üzere sembolik formda elde edilmiştir. Transfer
fonksiyonuna ait sıfırların kesin çözümleri sembolik olarak verilmiştir.
Ancak, elde edilen tepe akım modu kontrollü PWM anahtarlama modelinin paydası
5. mertebeden bir polinom olduğundan, kutupların ve kalite faktörlerinin
sembolik formda bulunması için yaklaşık kök analizi kullanılması
gerekmektedir. Bu analiz kullanılarak yaklaşık kutuplar ve kalite faktörleri
de sembolik formda türetilmiştir.

Anahtar Kelimeler

Zeta dönüştürücü, Pwm anahtarlama modeli, Tepe akım-modu kontrol

Kaynakça

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• [9] V. Vorperian, "Analysis of current-mode controlled PWM converters using the model of the current-controlled PWM switch", Power Conversion and Intelligent Motion, 1990.
• [10] V. Vorperian, Fast analytical techniques for electrical and electronic circuits, Cambridge University Press, 2002.
• V. Vorperian, "Simplified analysis of PWM converters using model of PWM switch. Part I: Continuous conduction mode. ", IEEE Transaction on Aerospace and Electronic Systems, cilt 26, no. 3, pp. 497-505, 1990.
• E. Cengelci, "Software Makes Transfer Functions More Manageable", Power Electronics Technology, cilt 34, no.6, pp. 14-21, 2008.
• R. W. Erickson ve D. Maksimovic, Fundamentals of Power Electronics, Kluwer Academic Publishers, 2004.
• V. Vorperian, "Analysis of current-mode controlled PWM converters using the model of the current-controlled PWM switch", In Power Conversion and Intelligent Motion Conference, 1990.
• V. Vorperian, Fast analytical techniques for electrical and electronic circuits, Cambridge University Press, 2002.
• V. Vorperian, "Simplified analysis of PWM converters using model of PWM switch. Part I: Continuous conduction mode.", IEEE Transaction on Aerospace and Electronic Systems, cilt 26, no. 3, pp. 497-505, 1990.
• E. Cengelci, "Software Makes Transfer Functions More Manageable", Power Electronics Technology, cilt 34, no.6, pp. 14-21, 2008.
• R. W. Erickson ve D. Maksimovic, Fundamentals of Power Electronics, Kluwer Academic Publishers, 2004