Lagrangian modeling of DC-DC buck-boost and flyback converters

Yıldız, Hüseyin; Goren-Sumer, Leyla

doi:10.1109/ecctd.2009.5274937

Cited by 9 publications

(5 citation statements)

References 3 publications

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“…The inductivity and capacity values in the Boost_B converter are defined by Equations ( 8) to (10) for specific values of the initial Boost_A converter. As a number of assumptions were made in the analysis of the Boost_A converter, the parameters of inductivity and capacity of the Boost_B converter were corrected in the process of the preliminary modelling, which is why they somewhat differ from the calculated ones.…”

Section: Mathematical Models Of the Convertors Boost_a And Boost_b In...mentioning

confidence: 99%

“…As is seen from Equations ( 8) to (10), the parameters of the equivalent converter depend on the duty cycle. The dependencies of the calculated values of inductivity and capacity of the equivalent boost converter on duty cycles are summarized in Table 3.…”

Section: Mathematical Models Of the Convertors Boost_a And Boost_b In...mentioning

confidence: 99%

“…In [6], using the Hamiltonian and Lagrangian energy functions, the purities of conservative circuits were analyzed, and in [7] mixed circuits. Further development of this direction affected more complex switching electrical networks [8,9] and various types of DC-DC converters [10,11], including taking into account parasitic elements- [12]. Analysis of threephase AC-DC converters is presented in [13,14], converters with transformers in [15][16][17].…”

Section: Introductionmentioning

confidence: 99%

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Equivalent converter method for analyzing complex DC–DC converting systems

Orel Moshe,

Berkovich

2024

The Journal of Engineering

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This paper introduces a new approach for analyzing the dynamics of DC–DC converters. Currently, the primary widely accepted method for examining dynamic processes is the Small Signal Analysis technique. However, when applied to modern complex converters, this method poses additional challenges in formulating and solving systems of differential equations. The method proposed in this paper is based on its application to the analysis of dynamic modes of energy functions—Lagrangians. These functions make it possible to define simple criteria to describe the course of dynamic processes, and in the end define an equivalent (approximating) conventional converter identical to the original one with respect to the course of dynamics. If the magnetic and electrical energies in the Lagrangians of both the converters are equal, the outcome is practically identical transient processes. These findings were confirmed by both theoretical analysis and experimentally modelling the dynamics of the initial converter and an equivalent to it in the Matlab–Simscape program. An additional possibility of using the transfer functions of a conventional boost converter for the theoretical analysis of the converters of much greater orders is also discussed. The authors’ experiments confirm the correctness of their theoretical conclusions.

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Section: Mathematical Models Of the Convertors Boost_a And Boost_b In...mentioning

confidence: 99%

Section: Mathematical Models Of the Convertors Boost_a And Boost_b In...mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Equivalent converter method for analyzing complex DC–DC converting systems

Orel Moshe,

Berkovich

2024

The Journal of Engineering

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“…According to [35,37] the average Buck-Boost converter circuit can be written by Euler-Lagrange equations, as:…”

Section: Appendix a Nonlinear Controllersmentioning

confidence: 99%

SHIL and DHIL Simulations of Nonlinear Control Methods Applied for Power Converters Using Embedded Systems

et al. 2018

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In this work, a new real-time Simulation method is designed for nonlinear control techniques applied to power converters. We propose two different implementations: in the first one (Single Hardware in The Loop: SHIL), both model and control laws are inserted in the same Digital Signal Processor (DSP), and in the second approach (Double Hardware in The Loop: DHIL), the equations are loaded in different embedded systems. With this methodology, linear and nonlinear control techniques can be designed and compared in a quick and cheap real-time realization of the proposed systems, ideal for both students and engineers who are interested in learning and validating converters performance. The methodology can be applied to buck, boost, buck-boost, flyback, SEPIC and 3-phase AC-DC boost converters showing that the new and high performance embedded systems can evaluate distinct nonlinear controllers. The approach is done using matlab-simulink over commodity Texas Instruments Digital Signal Processors (TI-DSPs). The main purpose is to demonstrate the feasibility of proposed real-time implementations without using expensive HIL systems such as Opal-RT and Typhoon-HL.

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“…By modeling the dc-dc converters, the operation of converter in different operational modes can be investigated in both transient and steady states. High accuracy and low response time are major features of a good modeling [5][6][7][8][9][10][11][12].…”

Section: Introductionmentioning

confidence: 99%