Modelado, simulación y control de un convertidor boost acoplado magnéticamente

This thesis covered the modeling, simulation as well as the design of a control law for a coupled inductor Boost converter. In particular, from the point of view of modeling, we focused on the use of averaged modeling and linear complementarity systems (LCS), in order to obtain the dynamic of a coupled inductor Boost converter, which works in discontinuous conduction mode (DCM). The analysis of the converter was performed assuming ideal voltage-current characteristics in the switch and the diodes. In addition, those models were validated through simulation with the model of the converter obtained from the simulation tool for electrical circuits Psim. The interest in researching this converter topology was mainly due to its high efficiency and high conversion rate without extreme duty cycle values. Moreover, from the point of view of control we have proposed a cascade control architecture. The inner loop is a sliding mode current control loop, while the outer one is a PI controller that tunes the current reference to regulate the output voltage to a reference value. The performance and the effectiveness of the feedback control was validated under the presence of load disturbances and input voltage variations through computer simulations by using the linear complementarity model as well as experimentally. Additionally from the linear complementarity model of the converter, it was performed an analysis of the ideal dynamic that takes place when occurs sliding motions in the converter and numerical stability analysis was also carried out.La presente tesis abarca el modelado, simulación y diseño de una ley de control para un convertidor Boost de inductancias acopladas. En particular, desde el punto de vista de modelado, nos enfocamos en las teoíıas de modelos promediados y sistemas lineales complementarios (LCS), para obtener la dinámica del convertidor Boost de inductancias acopladas, el cual trabaja en modo discontinuo de conducción (DCM). El análisis del convertidor se lleva a cabo asumiendo características ideales de tensión-corriente en el interruptor y los diodos. Además, los modelos obtenidos son validados mediante simulación con el modelo del convertidor proporcionado por la herramienta de simulación para circuitos eléctricos Psim. El interés en la topología de este convertidor se debe principalmente a su alta eficiencia y su elevada tasa de conversión sin necesidad de ciclos de trabajos extremos. Por otra parte, desde el punto de vista de control se propone una arquitectura de control en cascada. El lazo interno del control se compone de una estrategia de control no lineal, similar a la teoría de control en modo de deslizamiento, mientras que para el lazo externo se diseña un control de tipo PI. El principal objetivo del control diseñado es regular el voltaje de salida del convertidor a el valor de referencia deseado. La efectividad y desempeño del controlador diseñado es validada tanto en simulación como experimentalmente ante diferentes escenarios que incluyen perturbaciones en la carga y el voltaje de entrada. Adicionalmente a partir del modelo lineal complementario del convertidor, se lleva a cabo un análisis de la dinámica ideal de deslizamiento y un análisis numérico de la estabilidad cuando se tiene modo de deslizamiento

Teaching, Analyzing, Designing and Interactively Simulating of Sliding Mode Control

This paper introduces an interactive methodology to analize, design, and simulate sliding model controllers for R2 linear systems. This paper reviews sliding mode basic concepts and design methodologies and describes an interactive tool which has been developed to support teaching in this field. The tool helps students by generating a nice graphical and interactive display of most relevant concepts. This fact can be used so that students build their own intuition about the role of different parameters in a sliding mode controller. Described application has been coded with Sysquake using an event-driven solver technique. The Sysquake allows using precise integration methods in real time and handling interactivity in a simple manner.Peer ReviewedPostprint (published version

Averaged dynamics of a coupled-inductor boost converter under sliding mode control using a piecewise linear complementarity model

An averaged model of a coupled-inductor boost converter using the piecewise complementarity model of the converter under sliding motions is obtained. The model takes into account the idealized voltage–current characteristic of passive switches (diodes) present in the converter. Because of its lower complexity, the averaged model is more suitable for control design purposes when compared with the linear complementarity systems (LCS) model of the converter. The dynamic performance of the LCS model and the averaged models of the converter are validated through computer simulations using Matlab.Postprint (author's final draft

Teaching, Analyzing, Designing and Interactively Simulating of Sliding Mode Control

This paper introduces an interactive methodology to analize, design, and simulate sliding model controllers for R2 linear systems. This paper reviews sliding mode basic concepts and design methodologies and describes an interactive tool which has been developed to support teaching in this field. The tool helps students by generating a nice graphical and interactive display of most relevant concepts. This fact can be used so that students build their own intuition about the role of different parameters in a sliding mode controller. Described application has been coded with Sysquake using an event-driven solver technique. The Sysquake allows using precise integration methods in real time and handling interactivity in a simple manner.Peer ReviewedPostprint (published version

Herramientas interactivas para control en modo de deslizamiento

En este trabajo se presentan herramientas interactivas en 2D y 3D para ilustrar los conceptos teóricos de control en modo de deslizamiento de sistemas dinámicos lineales a trozos. El objetivo final es permitir a los alumnos la posibilidad de visualizar la evolución del sistema y su respuesta en tiempo real, ante los cambios y configuraciones de toda una serie de parámetros del sistema en estudio. De esta manera, podrán obtener conocimientos prácticos y avanzar en la compresión de la respuesta del sistema de manera cualitativa y cuantitativa. Las herramientas se han desarrollado mediante Sysqueke y Easy Java Simulations (EJS), que permite una fácil programación y diseño

Herramientas interactivas para control en modo de deslizamiento

En este trabajo se presentan herramientas interactivas en 2D y 3D para ilustrar los conceptos teóricos de control en modo de deslizamiento de sistemas dinámicos lineales a trozos. El objetivo final es permitir a los alumnos la posibilidad de visualizar la evolución del sistema y su respuesta en tiempo real, ante los cambios y configuraciones de toda una serie de parámetros del sistema en estudio. De esta manera, podrán obtener conocimientos prácticos y avanzar en la compresión de la respuesta del sistema de manera cualitativa y cuantitativa. Las herramientas se han desarrollado mediante Sysqueke y Easy Java Simulations (EJS), que permite una fácil programación y diseño

Herramientas interactivas para control en modo de deslizamiento

En este trabajo se presentan herramientas interactivas en 2D y 3D para ilustrar los conceptos teóricos de control en modo de deslizamiento de sistemas dinámicos lineales a trozos. El objetivo final es permitir a los alumnos la posibilidad de visualizar la evolución del sistema y su respuesta en tiempo real, ante los cambios y configuraciones de toda una serie de parámetros del sistema en estudio. De esta manera, podrán obtener conocimientos prácticos y avanzar en la compresión de la respuesta del sistema de manera cualitativa y cuantitativa. Las herramientas se han desarrollado mediante Sysqueke y Easy Java Simulations (EJS), que permite una fácil programación y diseño

Cascade sliding mode-PID controller for a coupled-inductor boost converter

In this paper, a coupled-inductor Boost converter is modelled as a piece-wise complementarity system and controlled by means of two loops: a sliding mode control inner loop and an experimentally tuned PID outer loop control. The aim of the closed loop system is to regulate the output voltage of the coupled-inductor Boost converter. The control is carried out using the piece-wise complementarity model of the converter, which takes into account its hybrid dynamic. In addition, the performance and the effectiveness of the feedback control is validated through computer simulations using MATLAB and Psim.Postprint (published version

Modeling a coupled-inductor boost converter in the complementarity framework

We consider the modeling of switching circuits, consisting of passive elements, independent sources, which are subject both to externally induced switches (time events) and to state events. We focus on the use of the complementarity formalism for obtaining such hybrid (actually piecewise linear) models, assuming idealized current- voltage characteristics of the diodes and switches. In particular, a coupled-inductor Boost converter is modelled as a piece-wise complementarity system. We obtained also a discrete-time model which may be used for design and simulation purposes. In order to show the good performance of the model obtained, it is compared with the model of the converter obtained from the PSIM simulation software

Modeling a coupled-inductor boost converter in the complementarity framework

We consider the modeling of switching circuits, consisting of passive elements, independent sources, which are subject both to externally induced switches (time events) and to state events. We focus on the use of the complementarity formalism for obtaining such hybrid (actually piecewise linear) models, assuming idealized current- voltage characteristics of the diodes and switches. In particular, a coupled-inductor Boost converter is modelled as a piece-wise complementarity system. We obtained also a discrete-time model which may be used for design and simulation purposes. In order to show the good performance of the model obtained, it is compared with the model of the converter obtained from the PSIM simulation software.Postprint (published version