Averaged models of pulse-modulated DC-DC power converters. Part I. Discussion of standard methods

2012 ◽  
Vol 61 (4) ◽  
pp. 609-631 ◽  
Author(s):  
Włodzimierz Janke

Abstract The averaged models of switch-mode DC-DC power converters are discussed. Two methods of averaged model derivation are considered - the first, based on statespace averaging and the second, on the switch averaging approach. The simplest converters: BUCK, BOOST and BUCK-BOOST working in CCM (continuous conduction mode) or DCM are taken as examples in detailed considerations. Apart from the ideal converters, the more realistic case of converters with parasitic resistances is analyzed. The switch averaging approach is used more frequently than the other and is believed to be more convenient in practical applications. It is shown however, that in the deriving the averaged models based on the switch-averaging approach, some informalities have been made, which may be the source of errors in the case of converters with parasitic resistances, or working in DCM mode.

2012 ◽  
Vol 61 (4) ◽  
pp. 633-654 ◽  
Author(s):  
Włodzimierz Janke

Abstract The separation of variables approach to formulate the averaged models of DC-DC switch-mode power converters is presented in the paper. The proposed method is applied to basic converters such as BUCK, BOOST and BUCK-BOOST. The ideal converters or converters with parasitic resistances, working in CCM and in DCM mode are considered. The models are presented in the form of equation systems for large signal, steady-state and small-signal case. It is shown, that the models obtained by separation of variables approach differ in some situations from standard models based on switch averaging method.


2013 ◽  
Vol 61 (3) ◽  
pp. 711-723 ◽  
Author(s):  
W. Janke

Abstract Large-signal and small-signal averaged models of basic switch-mode DC-DC power converters: BUCK (step-down) and BOOST (step-up) are presented. Models are derived with the separation of variables approach and have the form of equivalent circuits, suitable for a circuit simulation. Apart from equivalent circuits, small-signal transmittances of converters for CCM and DCM modes are discussed. Parasitic resistances of all components of converters are taken into account. A few examples of simulations and measurement results of selected converter characteristics are also presented. It is shown, that neglecting parasitic resistances (often met in works of other authors) may lead to serious errors in an averaged description of converters.


The DC-DC power converters have extreme importance in contemporary applications. Moreover, the DC-DC power converters are the ideal candidates in numerous applications such as electric and hybrid vehicles, fuel cells and others. They have been extensively researched upon over three decades. The control of these converters has been often implemented using PWM techniques and based on discrete components and integrated circuits. In this paper we propose a systematic approach for the control of step down DCDC converters with variable input voltage based on discontinuous control action. We demonstrate that the proposed algorithm achieves robustness to variations of the converter load and the input voltage without additional sensors


2012 ◽  
Vol 45 (9) ◽  
pp. 204-209 ◽  
Author(s):  
Veaceslav Spinu ◽  
Maarten Dam ◽  
Mircea Lazar

Author(s):  
Sergey Amelin ◽  
Marina Arkad'evna Amelina ◽  
Sergey Vladimirovich Drozdetsky ◽  
Igor Vladimirovich Yakimenko

The article considers the problems of analyzing DC-DC voltage converters and analyzes the advantages, disadvantages, as well as the scope of full switched and averaged continuous models of the converters. The feasibility of using the complex of two models (full switch model and averaged continuous model) for analyzing their operation is proved. The general approach to the construction of continuous models of DC-DC voltage converters based on state-space averaging method is considered. Disadvantages of the averaged models using a classic approach are shown. The relevance of the development of universal continuous models of DC-DC converters is substantiated. The possibility of creating such models using averaged models of PWM switching structure included in the DC-DC voltage converter is shown. Analyzed the typical structure of the switch-mode power supply with feedback. An averaged model of the switching structure is proposed, basing on which continuous models of DC-DC converters with any topology can be built. The processes occurring in this switching structure in the mode of continuous and discontinuous choke current are analyzed. A method for constructing continuous models of the main types of DC-DC voltage converters based on switching structure averaged model is proposed. The adequacy of continuous models obtained by this method has been proven. The results of modeling transients on the continuous and full switch models for inverting voltage regulator are demonstrated. The possibility of accounting in the model of active resistances of switches and cumulative choke is shown. The possibility of using the proposed model to obtain the open loop transfer functions is demonstrated, in particular, the characteristics of the duty factor - output voltage. These transfer functions can be used to synthesize control system compensating circuits of the switch-mode power supply. The possibility of using a single generalized averaged model of the switching structure to build continuous models of converters with complex topology using both the Voltage Mode and Current Mode is shown. This creates prerequisites for developing a universal averaged continuous model for DC-DC converter based on this principle


2016 ◽  
Vol 65 (4) ◽  
pp. 703-717
Author(s):  
Włodzimierz Janke

AbstractIn the description of small-signal transmittances of switch-mode power converters several characteristic frequencies are usually used, corresponding to poles and zeros of transmittances. The knowledge of these frequencies is important in the design of control circuits for converters and usually are assumed to be constant for a given power stage of a converter. The aim of the paper is to evaluate the influence of converter primary parameters and load conductance on characteristic frequencies. Analytical derivations and numerical calculations are performed for an ideal and non-ideal BUCK converter working in continuous or discontinuous conduction mode.


2020 ◽  
Vol 08 (10) ◽  
pp. 66-83
Author(s):  
Ma Guadalupe Ortiz-Lopez ◽  
Luis Humberto Diaz-Saldierna ◽  
Diego Langarica-Cordoba ◽  
Jesus Leyva-Ramos

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