Singular Perturbation Theory for DC-DC Converters and Application to PFC Converters

被引：69

作者：

Kimball, Jonathan W. ^{[1
]}

Krein, Philip T. ^{[2
]}

机构：

[1] Missouri Univ Sci & Technol, Rolla, MO 65409 USA

[2] Univ Illinois, Dept Elect & Comp Engn, Urbana, IL 61801 USA

来源：

IEEE TRANSACTIONS ON POWER ELECTRONICS | 2008年 / 23卷 / 06期

基金：

美国国家科学基金会;

关键词：

Averaging; integral manifold; power factor correction (PFC); singular perturbation; stability;

D O I：

10.1109/TPEL.2008.2004272

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

Many control schemes for dc-dc converters begin with the assertion that inductor currents are "fast" states and capacitor voltages are "slow" states. This assertion must be true for power factor correction (PFC) converters to allow independent control of current and voltage, and is important for many other applications. In the present study, singular perturbation theory is applied to two-state switching-power converters to provide rigorous justification of the timescale separation. Krylov-Bogoliubov-Mitropolsky averaging is used to include switching ripple effects. A relationship between inductance, capacitance, load resistance, and loss resistances derives from an analysis of the off-manifold dynamics of an approximate model. Similar results hold for boost, buck, and buck-boost converters. Experimental boost converters validate the results. Discrete-time analysis is also shown. Simulated PFC converters demonstrate a simple, sensorless control technique that requires timescale separation.

引用

页码：2970 / 2981

页数：12

共 28 条

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