A general unified approach to modelling switching DC-tO-DC converters in discontinuous conduction mode

Cuk, S.; Middlebrook, R. D.

doi:10.1109/pesc.1977.7070802

Cited by 340 publications

(129 citation statements)

References 9 publications

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“…All three converters in current-programmed continuous conduction mode have the same general form of model as for the duty ratio programmed discontinuous conduction mode [2]. That of the buck-boost converter in Fig.…”

Section: Comparison Of Dynamics Inmentioning

confidence: 99%

Modelling and analysis of switching DC-to-DC converters in constant-frequency current-programmed mode

Hsu

Brown

Rensink

et al. 1979

1979 IEEE Power Electronics Specialists Conference

193

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An anaZy&iA o(> dc-to-dc switching conventew> in constant-fanequency current-programmed continuous conduction modo, U> performed, and leadLs to two significant, results.The first is that a Kamp function, used to eliminate a potential insta bility, can be chosen uniquel.y to assure both stability and the fastest possible transient, response oh the programmed current.The second is the development of an extension of the statespace averaging technique by meant* of u)hich both the input and output small-signal properties of any such conveAteA may be accurately represented by a linear small-signal equivalent-circuit model. The mode^ ^ presented and experimentally νwilled for the Cuk converter and for the conventional buck, boost, and buck-boost convert.ers. Kit models exhibit basically a one-pole control-tooutput transfer function response. INTRODUCTIONOver the last several years an effort has been made to characterize the transfer properties of dc-to-dc switching converters in the frequency domain. This program has culminated in the "statespace averaging" approach, and leads to generalized equivalent circuits ("canonical models") that ex press the line-to-output and control-to-output transfer properties. So far, equivalent circuits have been derived for the continuous and the discontinuous conduction modes of a converter operated in the conventional "duty-ratio pro grammed mode" in which the duty ratio appears as the external port at which feedback for regulation purposes is applied employed.In this mode, the converter power switch duty ratio is determined by the times at which the switch current reaches a threshold value determined by a control signal. Thus, this threshold level, rather than the duty ratio, becomes the input port for feedback in the current-programmed mode. In The current-programmed mode has several advantages over the conventional duty-ratio programmed scheme. First, since the switch, usually a transistor, is turned off when its current reaches the control signal level, failures due to excessive switch current can be prevented simply by limiting the maximum value of the control signal. This measure also protects the entire converter from overload damage.Second, several converters can be operated in parallel without a load-sharing problem, because all of the power switches receive the same control signal from the regu lator feedback circuit and hence carry the same CH1461-3/79/0000-0284$00. 75 © 1979 IEEE 284

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Section: Comparison Of Dynamics Inmentioning

confidence: 99%

Modelling and analysis of switching DC-to-DC converters in constant-frequency current-programmed mode

Hsu

Brown

Rensink

et al. 1979

1979 IEEE Power Electronics Specialists Conference

193

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“…This behaviour is identical to any dc-dc converter, where the dc gain depends on d for CCM operation, whereas for DCM it depends on several parameters as are: L, T s and the load. From these statements, it can be seen that τn plays the same role as the dimensionless parameters k (i.e., k = 2L/(RTs)) in the conventional dc-dc converters [15].…”

Section: B Normalized Analysis Of the Dl//s Ac-led Drivermentioning

confidence: 93%

On Supplying LEDs From Very Low DC Voltages With High-Frequency AC-LED Drivers

Castro

Vázquez

Aller

et al. 2019

IEEE Trans. Power Electron.

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Abstract-This work studies the driving of white Light Emitting Diodes (LEDs) from very low voltages in the range of 1.2 to 2 V. The proposed idea is based on replacing the standard Schottky diode used in conventional converter topologies (i.e., buck, buck-boost and boost) with an LED, while shortcutting the output of the converter. In this configuration, the LED works both as the load and as the rectifier diode of the converter, hence, switching the LED at high frequencies (i.e. > 100 kHz). Moreover, a thorough analytical study is carried out for the two topologies rendered in this work. Particularly emphasizing their static analysis and the obtaining of the boundaries between the different conduction modes. Finally, the idea is validated experimentally by means of the boost converter variation (i.e., DL//S AC-LED driver). The DL//S AC-LED driver has also been compared with a dc-dc boost converter showing a better luminous efficacy while disposing of the Schottky diode and the output capacitor. This analysis is carried out when connected to a Li-Ion battery using a simple control and integrated circuit for its development.

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“…The same converters operated in discontinuous inductor current mode [8], are threeswitched network systems, since the switching can be represented by a single-pole three-position switch. Only one of the three intervals is under independent control; the ratio between the remaining two intervals (defined by the inductor current falling to zero) is not an independent variable.…”

Section: The State-space Averaging Methodsmentioning

confidence: 99%

“…However, the second key step peculiar to the switching converter application now arises, which involves recognition that the duty ratio d is also modulated and constitutes an input; hence, + (B, -B>)U. (8) By Laplace transformation, the solution of (7) can be written (9) where I is the identity matrix.…”

Section: (6)mentioning

confidence: 99%

Small-signal modeling of pulse-width modulated switched-mode power converters

Middlebrook

1988

Proc. IEEE

255

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A power processing system is required to convert electrical energy from one voltage, current, or frequency to another with, ideally, 100-percent efficiency, together with adjustability of the conversion ratio. The allowable elements are switches, capacitors, and magnetic devices. Essential to the design is a knowledge of the transfer functions, and since the switching converter is nonlinear, a suitable modeling approach is needed. This paper discusses the state-space averaging method, which is an almost ideal compromise between accuracy and simplicity. The treatment here emphasizes the motivation and objectives of modeling by equivalent circuits based upon physical interpretation of state-space averaging, and is limited to pulse-width modulated dc-to-dc converters.

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A general unified approach to modelling switching DC-tO-DC converters in discontinuous conduction mode

Cited by 340 publications

References 9 publications

Modelling and analysis of switching DC-to-DC converters in constant-frequency current-programmed mode

Modelling and analysis of switching DC-to-DC converters in constant-frequency current-programmed mode

On Supplying LEDs From Very Low DC Voltages With High-Frequency AC-LED Drivers

Small-signal modeling of pulse-width modulated switched-mode power converters

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