Mathematical Modelling and Representation of DC to DC Converter (Buck Converter) (original) (raw)

Mathematical Modelling of Buck Converter

A dc converter is a lossless dc transformer that must supply regulated outputted voltage under varying load and input voltage condition. Also the converter values changes with time, temperature and pressure. Hence to control the output voltage, detailed understanding of the dynamic behaviour, transient response and small signal characteristics of the converter is required, which can’t be understood by the physical model of the converter. So the mathematical modelling of the dc-dc converter is a way to model them as time independent systems, defined by a unified set of differential equations, capable of representing circuit waveforms. Therefore, it can be a convenient approach for designing controllers to be applied to switched converters. This paper derives the mathematical modelling of a pulse width modulated (PWM) open loop buck converter operating in continuous conduction mode (CCM) and presents its verification by simulation in SIMULINK. The parasitic resistance of reactive elements is included in the circuit model in order to avoid the problem of inconsistent initial condition. (Abstract)

A Solution for DC-DC Converters Study

2013

A solution for the student experimental study of the steady-state characteristics from the buck, boost and buck-boost converters is presented. At the outset, the proposed solution which permits students to observe the influence of the place and inductor place in the converter on the output voltage is presented. Finally, some experimental results illustrating the influences of switching frequency, switch duty-ratio, snubber capacitor, output current, etc. to dc-dc converter operation are offered. Key-Words: DC-DC power converters, Power semiconductor devices, Pulse width modulation converters, Switched Mode Power Supplies

IJERT-Design and Analysis of Buck Converter

International Journal of Engineering Research and Technology (IJERT), 2014

https://www.ijert.org/design-and-analysis-of-buck-converter https://www.ijert.org/research/design-and-analysis-of-buck-converter-IJERTV3IS031844.pdf Designs of the power electronics circuitry are now-a-days reducing the size, space and weight of converter / inverter circuits. This is possible because of the availability of new high switching frequency devices. This paper presents a generalized model of buck converters. The converter used for stepping down the voltage is called buck converter. Buck converter is designed, analyzed, simulated & developed. The proposed model of Buck converter consists of two parts: (i) Main converter circuits with the components like switch, inductor, diode, capacitor, and a load, (ii) A control circuit for controlling the operation of the switch using microprocessor through opto-coupler. This model can accurately predict the steady-state behaviors for average load current and voltage across the load of a single switch dc-dc converter. To verify the proposed model, the circuit is prepared & their experimental results were compared with the results obtained by simulation of the circuit in pspice. Keywords-Duty cycle(D r), Average output voltage(V o), Input voltage (V IN), ON-time of switch, OFF-time of switch, p-top ripple in capacitor voltage(∆V C) & inductor current(∆I L), frequency (f).

Modeling and Analysis of DC-DC Buck Converter for Mobile Applications

2020

This paper presents the modeling of DC-DC buck converter system based on the mathematical model and analysis the dc-dc buck converter system for mobile device that powered by fixed battery DC supply. The aim of the modeling is the mathematical representation of a power electronic circuit for synchronous buck converter that controlled by fixed switching frequency in pulse width modulation. The state-space representation is used for modeling because of population, and it is essential to define the state variable of a circuit, state variable is the element storage of energy such as inductor and capacitor. This modeling included the parasitic resistances in mathematical representation of power circuit elements. In this work, it analyzed and studied the stability and the dynamic behavior response of buck converter output voltage model by using MATLAB/m.files simulation based on Bode plot frequency response and Root Locus method. This simulation illustrated the effectiveness performance o...