Analysis and control design of two cascaded boost converter (original) (raw)
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Design and Analysis of Controllers for Boost Converter Using Linear and Nonlinear Approaches
2020
Power converters are electronic circuits for conversion, control and regulation of electric power for various applications, such as from tablet computers in milliwatts to electric power systems at megawatts range. There are three basic types of power converters: buck (output voltage less than the input voltage), boost (output voltage higher than the input voltage) and buck-boost converters. The reliability of the power converters has become an essential focus of industrial applications. This research presents modeling and control of DC/DC boost converter using several control methods, such as Proportional-Integral (PI), Linear Quadratic Regulator (LQR) control, and nonlinear control concepts. Based on standard circuit laws, a mathematical model of the boost converter is derived which is expressed as a bilinear system. First a small signal model of the converter is derived to analyze the small deviations around the steady-state operating point which is used to develop closed loop con...
Novel Approach in Stability Analysis Presented in Controlled Boost Converter
2007 Power Conversion Conference - Nagoya, 2007
The paper is concerned with the stability analysis of a feedback controlled resonant dual channel boost converter. The output voltage is controlled by using constant frequency PWM and PI controller. The analysis is based on the eigenvalues of the Jacobian matrix of the Poincaré Map Function (PMF). After small perturbation determining the deviations of the state variables from the periodic trajectory, the Jacobian matrix is calculated without the need to determine the PMF itself. The introduction of the so-called auxiliary state vector greatly facilitates the calculation. Calculation and simulation results included are used in the design of the control loop.
Stabilitiy analysis of a Lyapunov-based controlled boost converter
Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference, 2009
It is known that a Lyapunov-based controlled boost converter has a globally asymptotically stable equilibrium point for known loads. However, in the case that the nominal load differs from the actual one, that unique equilibrium point bifurcates to three equilibria. The dynamics of this system is analised here, as well as the local dynamics of the system extension resulting from the addition of an output error integral term.
Nonlinear control of voltage source AC-DC and DC-DC boost converters
2017
NONLINEAR CONTROL OF VOLTAGE SOURCE AC-DC AND DC-DC BOOST CONVERTERS Introduction. Three-phase pulse-width modulated rectifiers establish de facto a standard for the power AC-DC-AC conversion topology of industrial drives, where energy recuperation is required. They provide the bidirectional power flow with unity input power factor, low harmonic distortion of the line current and stabilization of the dc-link voltage. In autonomous systems such as electrical vehicles with battery primary power source the bidirectional DC-DC power converters are widely used to regulate the inverter DC-link voltage [1]. A number of approaches have been considered to solve the control problem of AC-DC power conversion part, which is nonlinear third order control plant. The authors of [2], [3] and others proposed the structure of vector controlled rectifier constructed in line voltage oriented reference frame using an approximate converter model and assuming a timescale separation between the voltage and current dynamics. A typical structure of control system includes an outer voltage control loop with linear PI-controller that forms the reference for inner active current control loop with P (PI)-controller. The input reactive current component is controlled by PI-controller with the zero reference value. In [4] authors proposed to use the set of switching voltage PI controllers to improve transient performance. Solution, given in [5], exploits a concept of direct power control on the base of virtual flux instead of the line voltage vector orientation. In the most commonly used advanced control schemes [1], the additional decoupling terms are added in order to achieve some sort of linearization of the initial system. A nonlinear control algorithm [6] was designed using Lyapunov's second method, it guarantees asymptotic DC-link voltage regulation as well as zero input reactive power consumption. Passivity-based control technique in [7] uses the Lyapunov's design in order to result in a stable closed-loop system. Adaptive controller [8] is constructed on the base of simplified active power model, it shows satisfactory performance during simulation and experiment. Solution given in [9] exploits the concept of direct converted energy control, it guarantees global asymptotic stability of the DC-link voltage regulation together with the stabilization of the input reactive power on zero level. However, this controller is implementable only if capacitance and inductance of converter are exactly known, since they are used in the controller equations and reference computation. As it follows from the available results the classical and advanced controllers satisfy the basic requirements for converter control systems, however no well definite solution is still proposed. Some controllers are designed, based on significant simplifying assumptions; no rigorous stability proof and experimental investigation are given. The important feature of the AC-DC converter control system is that equivalent structure of the voltage subsystem under decoupling vector control is the same as for classical DC-DC converter. Such property allows to construct the voltage subsystems of the three phase AC-DC and DC-DC converters on the base some sort of universal controller. The aim of this paper is to introduce the universal voltage controller for AC-DC and DC-DC converters based on two timescale approach and partial system feedback linearization. The experimental results demonstrate the effectiveness of the proposed control algorithm. Control algorithm design. A schematic diagram of the standard three-phase AC-DC converter in voltage supply mode is shown in the Fig. 1 [1], where standard definitions for all variables are used. The two phase model of the converter in line voltage vector oriented reference frame (d-q) is given by
Correlative Study on the Modeling and Control of Boost Converter using Advanced Controllers
DC-DC converters are switched power converters. The converters are most widely used in research and industrial applications. The DC-DC Boost Converters are used to step-up the supply voltage given to the plant model. The main advantage of using the Boost Converters is that it works in the low voltage according to the design specifications. In order to regulate the uncontrolled supply of voltage, a controller has to be designed and modeled to stabilize the output voltage. Since the convectional controllers cannot work under dynamic operating conditions, advanced controllers are to be designed to overcome the problems. In this article, the advanced controllers such as NARMA-L2, Fuzzy Logic (FLC) and Sliding Mode Controllers (SMC) are implemented and their responses are compared using MATLAB.
A Nonlinear State Feedback for DC/DC Boost Converters
Journal of Dynamic Systems, Measurement, and Control, 2016
This paper investigates the control problem for static boost type converters using a high gain state feedback robust controller incorporating an integral action. The robust feature allows to achieve the required performance in the presence of parametric uncertainties, while the integral action provides an offset free performance with respect to the desired levels of voltage. The adopted high gain approach is motivated by both fundamental as well as practical considerations, namely the underlying fundamental potential and the design parameter specification simplicity. The stability and convergence analysis has been carried out using an adequate Lyapunov approach, and the control system calibration is achieved throughout a few design parameters which are closely related to the desired dynamical performances. The effectiveness of the proposed control approach has been corroborated by numerical simulations and probing experimental results.
Modeling and Design of High Quality Boost Converter with Conventional Converter
In this paper the derivation of state feedback gain matrix for Boost converter under continuous time are explained using pole placement method. Similar to the Observer controller for Buck converter, the derivation of the observer controller for the Boost converter under both the continuous and discrete time domain is derived. The simulation and results are also presented.
Backstepping Global and Structural Stabilization of DC/DC Boost Converter
2021
This paper deals with the stabilization of DC/DC boost converter and the nonlinear phenomena elimination using a constrained Backstepping technique. Based on the converter averaged model, the pro- posed control approach is designed and the input to state stability concept is used to proof the system global stability. Furthermore, the structural stability is proven to show the efficiency of the proposed approach to suppress the nonlinear phenomena exhibited by the converter. The simulation results illustrate the different regions of stability of the system and the bifurcation diagrams are given to show the effectiveness of the proposed approach in terms of nonlinear phenomena suppression.
Electronics
This paper presents a novel form of feedback linearization control (FBL) of boost-type DC/DC converter: to reach highly accurate output voltage control. Integral action has been inserted into the block diagram of the control scheme. The state-space model of the boost converter is highly nonlinear. Accordingly, the design procedure of the controller is more complex. The paper presents the state-space modeling of the boost converter and details the design procedure of the nonlinear FBL controller step by step. The main goal of this paper is to highlight the importance of the error integrator in the FBL control loop. The proposed method has been tested by a numerical example and compared with an existing and validated two-loop controller. Both the dynamical and steady-state behavior of the examined boost converter performed better than the reference system. The steady-state error of the output voltage is almost eliminated, while the dynamical error decreased to 5% in comparison to the ...
Automatic Control and Emerging Technologies, 2024
This paper introduces a nonlinear dynamic model for a DC-DC Multilevel Boost Converter (MBC) connected to a solar PV panel. This model relies on equivalent circuits that depend on the commutation states of the converter. A PV generator is considered the main energy source in this application. Indeed, the energy produced by this generator depends mainly on metrological factors such as temperature and solar irradiation. For this reason, the backstepping technique is proposed to design the controller system that efficiently tracks the MPP, enabling smooth operation under various climatic conditions and preventing failures. The P&O algorithm is utilized to provide the controller with the output reference voltage PV. The system's performance is evaluated in the MATLAB/Simulink environment. The results obtained provide strong validation for the effectiveness of the proposed controller, demonstrating its capability to achieve its objective even in diverse environmental conditions.