A unified model for current-programmed converters

Tan, F.D.; Middlebrook, R. D.

doi:10.1109/63.391937

Cited by 234 publications

(146 citation statements)

References 18 publications

(24 reference statements)

Supporting

Mentioning

133

Contrasting

Unclassified

Order By: Relevance

“…For each case C 1 -C 9 , the F-transform can be derived or proved (by simple algebra) in three ways. First, follow the definition of the F-transform as in (10). Second, by decomposing T (s) into a combination of fractions…”

Section: Let the Correction Term Be C(d P)mentioning

confidence: 99%

Critical conditions for a class of switched linear systems based on harmonic balance: applications to DC-DC converters

Fang

2012

Nonlinear Dyn

View full text Add to dashboard Cite

A general and exact critical condition of saddle-node bifurcation is derived in closed form for the buck converter. The critical condition is helpful for the converter designers to predict or prevent some jump instabilities or coexistence of multiple solutions associated with the saddle-node bifurcation. Some previously known critical conditions become special cases in this generalized framework. Given an arbitrary control scheme, a systematic procedure is proposed to derive the critical condition for that control scheme.

show abstract

Section: Let the Correction Term Be C(d P)mentioning

confidence: 99%

Critical conditions for a class of switched linear systems based on harmonic balance: applications to DC-DC converters

Fang

2012

Nonlinear Dyn

View full text Add to dashboard Cite

show abstract

“…From (13), if N (e iθ ) = −1, one has F (θ) = m a . The "-1 point" in the Nyquist plot is translated to the "m a point," (m a , 0), in the F-plot.…”

Section: Exact Stability Condition and The "F-plot"mentioning

confidence: 99%

“…Then, make the F-plot based on (10) and (13). Using (5)- (9), one can also make Nyquist or Bode plot.…”

Section: Exact Stability Condition and The "F-plot"mentioning

confidence: 99%

Using Nyquist or Nyquist-like plot to predict three typical instabilities in DC–DC converters

Fang¹

2013

Journal of the Franklin Institute

View full text Add to dashboard Cite

By transforming an exact stability condition, a new Nyquist-like plot is proposed to predict occurrences of three typical instabilities in DC-DC converters. The three instabilities are saddle-node bifurcation (coexistence of multiple solutions), period-doubling bifurcation (subharmonic oscillation), and Neimark bifurcation (quasi-periodic oscillation). In a single plot, it accurately predicts whether an instability occurs and what type the instability is. The plot is equivalent to the Nyquist plot, and it is a useful design tool to avoid these instabilities. Nine examples are used to illustrate the accuracy of this new plot to predict instabilities in the buck or boost converter with fixed or variable switching frequency.

show abstract

“…The hysteretic current control is a kind of variable frequency control and the design of the filters is quiet difficult. In this paper, a direct current control method based on a one cycle controller [10] for DF buck converters is proposed. This method has the following characteristics:…”

Section: Introductionmentioning

confidence: 99%

Direct Current Control Method Based On One Cycle Controller for Double-Frequency Buck Converters

Luo¹,

Zhi²,

Lu³

et al. 2012

Journal of Power Electronics

View full text Add to dashboard Cite

In this paper, a direct current control method based on a one-cycle controller (DCOCC) for double frequency buck converters (DF buck) is proposed. This control method can make the average current through the high frequency and low frequency inductors of a DF buck converter equal. This is similar to the average current control method. However, the design of the loop compensator is much easier when compared with the average current control. Since the average current though the high frequency and low frequency inductors is equivalent, the current stress of the high frequency switches and the switch losses are minimized. Therefore, the efficiency of the DF buck converter is improved. Firstly, the operation principle of DCOCC is described, then the small signal models of a one cycle controller and a DF buck converter are presented based on the state space average method. Eventually, a system block diagram of the DCOCC controlled DF buck is established and the compensator is designed. Finally, simulation and experiment results are given to verify the correction of the theory analysis.

show abstract

A unified model for current-programmed converters

Cited by 234 publications

References 18 publications

Critical conditions for a class of switched linear systems based on harmonic balance: applications to DC-DC converters

Critical conditions for a class of switched linear systems based on harmonic balance: applications to DC-DC converters

Using Nyquist or Nyquist-like plot to predict three typical instabilities in DC–DC converters

Direct Current Control Method Based On One Cycle Controller for Double-Frequency Buck Converters

Contact Info

Product

Resources

About