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Equivalent small-signal circuit for the boost-buck converter. (a) Input inductor voltage; (b) Capacitor current; (c) Output inductor voltage; (d) Full model.
Source publication
In this paper a small-signal modeling of the DC-DC boost-buck converter is presented, whose attractive feature is that both input and output currents can be controlled through different duty cycles applied in each leg, which defines the proposed modulation strategy.
This switching sequence is composed of three different states, which gives the basi...
Citations
... With respect to the importance of PID controller tuning for a given system, various researchers have shown investigation on identifying a better PID algorithm for a given case. For example, PID controller tuning was performed for the wind power system in [1], for cuk converter control in [2], for BBC control of solar PV energy system application in [3], [4], for an industrial heating furnace temperature in [5], for the renewable energy applications in [6]. Similarly, some non-conventional methods of controller tuning in BBC devices were presented in [7]- [13]. ...
Nowadays, PID kind controllers are used extensively in the industries because of their prominent impact on system control performance. Generally, there are many PID controller tuning methods available for different systems and applications in the literature that makes burdensome for the utilizers to get familiar with all those tuning algorithms for a given case. Among various applications, power electronic converters are one of the typical application, where the converter efficacy mainly depends upon the controller tuning. Especially when these converters are used for renewable energy, the controller design dominates all other factors deciding the system efficacy. With this motivation, this paper investigates all the key controller tuning methods available in the literature and performs a comprehensive analysis on their usefulness to the buck-boost converter. Various time-domain and frequency-domain responses are plotted, and their performance metrics are computed. From these quantitative result, the best tuning method that can be used to design the controller for the buck-boost converter is concluded. MATLAB-Simulink software is used for the modelling and analysis of the overall system with respect to various controller tuning methods.
... A state space description is a canonical form for writing the differential equations that describe a system, [6]. In modeling of the state space, the state variables, which are, represent the elements that store the energy of circuit (inductor current as magnetic field and capacitor voltage as electrical field), have significant importance, [7]. ...
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 of the buck converter when switching frequency changing, load resistance variation, and parasitic resistance changing for main inductor and capacitor through theoretical verification, graphical performance and MATLAB simulation.
... Segundo (Barbi, 2015), entre os métodos utilizados para a modelagem matemática de conversores CC-CC, o modelo médio em espaço de estados apresentado por (Middlebrook e Cuk, 1976) é o mais aceito e utilizado. Este método foi utilizado por (Farias et al, 2014), (Chaves et al, 2015), (Sarwar et al, 2017), (Spier et al, 2017) em diversas aplicações. ...
The mismatched environment conditions are the real concern for designing the transformerless grid-connected PV system. The different approaches have been presented in the literature to address the issue. In this paper, an effort is made in rearranging the PV array into two subarrays and they are subjected to mismatched environment conditions. To validate the result, the single-phase grid-connected transformerless photovoltaic (PV) inverter is considered and it can function either in buck or boost mode and extract maximum power simultaneously from two serially connected subarrays while each subarray is exposed to different environmental conditions. The inverter may function in buck or boost mode depending on the subarray output power, this reduces the minimum number of serially connected PV modules to construct a subarray. The inverter’s topological setup and its control approach are built so that high-frequency components are absent, limiting the amount of the leakage current associated with the PV arrays. To validate the topology, a detailed small-signal model analysis of buck and boost based inverter is carried out and a detailed analysis is made using MATLAB/SIMULINK.
This paper focuses on the modeling, dynamic analysis, and simulation of the bidirectional DC-DC boost-buck power converter. The switching sequence applies different duty cycles in the input and output stages, resulting in full regulation of the system variables. By using this strategy, the input stage can be regulated disregarding perturbations in the output leg, as well as the output stage can be controlled independently of the effects of disturbances in the input part; which gives significant robustness to the converter. Based on the switching actions, the state-space average equations are derived, accomplishing the base to obtain the small-signal equations and equivalent small-signal circuits. The open-loop transfer functions are developed, besides the input and output impedance, and the audio susceptibility. Simulation results indicate that the proposed model can predict the dynamic behavior of the system in a wide range of the frequency spectrum, and the results in the time domain are in perfect agreement with the model predictions under disturbances of the control variables, variations of the value of the supply voltage and load changes.
