Modeling of Average Current in Non-Ideal Buck and Synchronous Buck Converters for Low Power Application

In this paper, a comparative analysis of the average switch/inductor current between ideal and non-ideal buck and synchronous buck converters is performed and verified against a standard LTspice model. The mathematical modeling of the converters was performed using volt-sec and amp-sec balance equat...

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Main Authors: Sumukh Surya, Mohan Krishna Srinivasan, Sheldon Williamson
Format: Article
Language:English
Published: MDPI AG 2021-10-01
Series:Electronics
Subjects:
Online Access:https://www.mdpi.com/2079-9292/10/21/2672
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author Sumukh Surya
Mohan Krishna Srinivasan
Sheldon Williamson
author_facet Sumukh Surya
Mohan Krishna Srinivasan
Sheldon Williamson
author_sort Sumukh Surya
collection DOAJ
description In this paper, a comparative analysis of the average switch/inductor current between ideal and non-ideal buck and synchronous buck converters is performed and verified against a standard LTspice model. The mathematical modeling of the converters was performed using volt-sec and amp-sec balance equations and analyzed using MATLAB/Simulink. The transients in the output voltage and the inductor current were observed. The transfer function of the switch current to the duty cycle (G<sub>id</sub>) in open loop configuration for low-power converters operating in continuous conduction mode (CCM) was modeled using thestate space averaging (SSA) technique and analyzed using MATLAB/Simulink. Initially, using the volt-sec and amp-sec, balance equations for the converters were modeled. The switch current to duty ratio (G<sub>id</sub>) was derived using the SSA technique and verified using standard average models available in LTspice software. Though the G<sub>id</sub> was derived using various methods in earlier works, the analyses of parameters such as low frequency gain, stability, resonant frequency and the location of poles and zeros were not presented. It was observed that the converters were stable, and the non-ideal converter showed smaller resonant frequency than the ideal converter due to the equivalent series resistances (ESR) of the inductor and the capacitor. The non-ideal converters showed higher stability than the ideal converters due to the placement of the poles closer to the s-plane. However, the G<sub>id</sub> of the non-ideal converters remained the same in the open loop configuration.
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spelling doaj.art-968bb9ae6ede4f35bb3ea6b3ff4c81622023-11-22T20:39:08ZengMDPI AGElectronics2079-92922021-10-011021267210.3390/electronics10212672Modeling of Average Current in Non-Ideal Buck and Synchronous Buck Converters for Low Power ApplicationSumukh Surya0Mohan Krishna Srinivasan1Sheldon Williamson2MTech, Department of Electrical and Electronics, Manipal Institute of Technology, MIT, Manipal, Karnataka 576104, IndiaDepartment of Electrical and Electronics Engineering, Alliance College of Engineering and Design, Alliance University, Bangalore 562106, IndiaDepartment of Electrical, Computer and Software Engineering, Faculty of Engineering and Applied Science, Ontario Tech University, Oshawa, ON L1G 0C5, CanadaIn this paper, a comparative analysis of the average switch/inductor current between ideal and non-ideal buck and synchronous buck converters is performed and verified against a standard LTspice model. The mathematical modeling of the converters was performed using volt-sec and amp-sec balance equations and analyzed using MATLAB/Simulink. The transients in the output voltage and the inductor current were observed. The transfer function of the switch current to the duty cycle (G<sub>id</sub>) in open loop configuration for low-power converters operating in continuous conduction mode (CCM) was modeled using thestate space averaging (SSA) technique and analyzed using MATLAB/Simulink. Initially, using the volt-sec and amp-sec, balance equations for the converters were modeled. The switch current to duty ratio (G<sub>id</sub>) was derived using the SSA technique and verified using standard average models available in LTspice software. Though the G<sub>id</sub> was derived using various methods in earlier works, the analyses of parameters such as low frequency gain, stability, resonant frequency and the location of poles and zeros were not presented. It was observed that the converters were stable, and the non-ideal converter showed smaller resonant frequency than the ideal converter due to the equivalent series resistances (ESR) of the inductor and the capacitor. The non-ideal converters showed higher stability than the ideal converters due to the placement of the poles closer to the s-plane. However, the G<sub>id</sub> of the non-ideal converters remained the same in the open loop configuration.https://www.mdpi.com/2079-9292/10/21/2672average current controlcontinuous conduction modeLTspiceMATLAB/Simulinkmathematical modelingnon-ideal buck converter
spellingShingle Sumukh Surya
Mohan Krishna Srinivasan
Sheldon Williamson
Modeling of Average Current in Non-Ideal Buck and Synchronous Buck Converters for Low Power Application
Electronics
average current control
continuous conduction mode
LTspice
MATLAB/Simulink
mathematical modeling
non-ideal buck converter
title Modeling of Average Current in Non-Ideal Buck and Synchronous Buck Converters for Low Power Application
title_full Modeling of Average Current in Non-Ideal Buck and Synchronous Buck Converters for Low Power Application
title_fullStr Modeling of Average Current in Non-Ideal Buck and Synchronous Buck Converters for Low Power Application
title_full_unstemmed Modeling of Average Current in Non-Ideal Buck and Synchronous Buck Converters for Low Power Application
title_short Modeling of Average Current in Non-Ideal Buck and Synchronous Buck Converters for Low Power Application
title_sort modeling of average current in non ideal buck and synchronous buck converters for low power application
topic average current control
continuous conduction mode
LTspice
MATLAB/Simulink
mathematical modeling
non-ideal buck converter
url https://www.mdpi.com/2079-9292/10/21/2672
work_keys_str_mv AT sumukhsurya modelingofaveragecurrentinnonidealbuckandsynchronousbuckconvertersforlowpowerapplication
AT mohankrishnasrinivasan modelingofaveragecurrentinnonidealbuckandsynchronousbuckconvertersforlowpowerapplication
AT sheldonwilliamson modelingofaveragecurrentinnonidealbuckandsynchronousbuckconvertersforlowpowerapplication