Abstract
Small signal audio susceptibility of flyback converter with peak current
mode control method is presented by utilizing pwm-switch model in Continuous
Conduction Mode (CCM). The analysis provides input voltage to output voltage
transfer function together with its zeros and poles in symbolic form. Numerator
and denominator of the resultant transfer function are both 3rd order. While
symbolic equations of zeros are provided as exact solutions, the symbolic
equations of poles are provided as approximate solutions with the assumption
that the real pole is well separated from the resonant frequency of the complex
pole pair. Symbolically derived transfer function of flyback converter is
validated on a numerical example by time domain PSIM simulations on a switching
flyback converter model. The mathematical analysis and PSIM simulations of
input voltage to output voltage transfer function of the converter agree very
well up to frequencies below half the switching frequency.
References
- A. Ioinovici, “Power Electronics and Energy Conversion Systems-Volume I,” John Wiley and Sons, Boulder, West Sussex, United Kingdom, 2013.
- R. Ridley, “A New Small Signal Model for Current Mode Control”, Ph.D. Dissertation, ECE Dept., Virginia Institute of Tech., Blacksburg, VA, USA, 1990.
- R. Redl, N. Sokal, “Current-mode control, five different types, used with the three basic classes of power converters”, IEEE PESC, Toulouse, France, 1985, pp. 771-785.
- V. Vorperian, “Simplified analysis of PWM converters using model of PWM switch. Part I: Continuous conduction mode,” IEEE Trans. Aerospace Electron. Syst., 1990, vol. 26, issue 3, pp. 490-496.
- V. Vorperian, “Analysis of Current-Control-led PWM Converters Using the Model of the Current-Controlled PWM Switch,” PCIM Conference, 1990, pp. 183-195.
- V. Vorperian, “Fast Analytical Techniques for Electrical and Electronic Circuits,” 1st ed., Cambridge University Press, Cambridge, United Kingdom, 2002.
- C. Basso, “Switch-Mode Power Supplies, Spice Simulations and Practical Designs,” 1st ed., McGraw-Hill, USA, 2008.
- R.W. Erickson, D. Maksimovic, “Fundamen-tals of Power Electronics,” 2nd ed., Kluwer Academic Publishers, Boulder, CO, 2004.
Abstract
Bu makalede tepe akım kontrol modunda çalışan flyback doğru akımdan doğru akıma güç dönüştürücü-sünün küçük sinyal ses duyarlılık analizi sürekli iletim modunda “pwm-switch” modeli kullanılarak çözülmüştür. Makalede çıkış voltajının giriş voltajına oranı (ses duyarlılık) transfer fonksiyonu elde edilip sıfır ve kutuplarıyla birlikte sembolik formda sunulmuştur. Transfer fonksiyonunun pay ve payda kısımları üçüncü dereceden polinomlardır. Üçüncü dereceden pay polinomunun kökleri olan sıfırların sembolik formülleri yaklaşık yapılmaksızın tam çözümleri elde edilirken, üçüncü dereceden payda polinomunun kökleri olan kutupların sembolik formülleri yaklaşık yapılarak reel kutbun frekansının karmaşık kutbun rezonans frekansından yeterince küçük olması kabulüyle bulunmuştur. Elde edilen sembolik transfer fonksiyonu sayısal bir örnek üzerinde PSIM devre benzetim programında zaman domeni benzetimiyle doğrulanmıştır. Zaman domeninde yapılmış devre benzetimiyle bulunan transfer fonksiyonu (Bode eğrileri) ile matematik analiz sonucu bulunan sembolik transfer fonksiyonunun genlik ve faz değerleri düşük frekanslardan anahtarlama frekansının yarı değerine kadar olan frekans aralığında örtüşmektedir.
References
- A. Ioinovici, “Power Electronics and Energy Conversion Systems-Volume I,” John Wiley and Sons, Boulder, West Sussex, United Kingdom, 2013.
- R. Ridley, “A New Small Signal Model for Current Mode Control”, Ph.D. Dissertation, ECE Dept., Virginia Institute of Tech., Blacksburg, VA, USA, 1990.
- R. Redl, N. Sokal, “Current-mode control, five different types, used with the three basic classes of power converters”, IEEE PESC, Toulouse, France, 1985, pp. 771-785.
- V. Vorperian, “Simplified analysis of PWM converters using model of PWM switch. Part I: Continuous conduction mode,” IEEE Trans. Aerospace Electron. Syst., 1990, vol. 26, issue 3, pp. 490-496.
- V. Vorperian, “Analysis of Current-Control-led PWM Converters Using the Model of the Current-Controlled PWM Switch,” PCIM Conference, 1990, pp. 183-195.
- V. Vorperian, “Fast Analytical Techniques for Electrical and Electronic Circuits,” 1st ed., Cambridge University Press, Cambridge, United Kingdom, 2002.
- C. Basso, “Switch-Mode Power Supplies, Spice Simulations and Practical Designs,” 1st ed., McGraw-Hill, USA, 2008.
- R.W. Erickson, D. Maksimovic, “Fundamen-tals of Power Electronics,” 2nd ed., Kluwer Academic Publishers, Boulder, CO, 2004.
Details
| Primary Language | English |
|---|---|
| Subjects | Electrical Engineering |
| Journal Section | Research Articles |
| Authors | |
| Publication Date | August 1, 2018 |
| Submission Date | November 10, 2017 |
| Acceptance Date | May 7, 2018 |
| Published in Issue | Year 2018 Volume: 22 Issue: 4 |
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