Análisis de estabilidad no lineal en reactores BWR con efectos subdifusivos Public Deposited
En esta tesis de maestría se presenta el análisis no lineal del modelo de orden reducido (MOR) de reactores nucleares de agua en ebullición (BWRs), con efectos de subdifusión neutrónica. Estos efectos se justifican debido a que el reactor es un sistema heterogéneo que opera en flujo en dos fases, y se incorporan matemáticamente en forma de derivadas de orden fraccional. La contribución de este trabajo es una descripción más detallada del comportamiento de la estabilidad del reactor en el dominio del tiempo durante transitorios y la utilización de herramientas como planos fase y los exponentes largos de Lyapunov del modelo reducido de orden fraccional (MORF). El modelo de orden reducido es un conjunto de ecuaciones no-lineales dependientes en el tiempo para describir el comportamiento de la potencia nuclear con retroalimentación por efecto Doppler y fracción de vacíos. This master's thesis presents the non-linear analysis of the reduced order model (MOR) of boiling water nuclear reactors (BWRs), with neutron subdiffusion effects. These effects are justified because the reactor is a heterogeneous system that operates in two-phase flow, which are presented mathematically in the form of fractional order derivatives. The contribution of this work is a more detailed description of the behavior of the stability of the reactor in the time domain during transients and the use of tools such as phase planes and the long Lyapunov exponents (LLE) of the reduced model of fractional order (MORF). The reduced order model is a set of time-dependent non-linear equations to describe the behavior of nuclear power with feedback, by Doppler effect and fraction of voids.
This master's thesis presents the non-linear analysis of the reduced order model (MOR) of boiling water nuclear reactors (BWRs), with neutron subdiffusion effects. These effects are justified because the reactor is a heterogeneous system that operates in two-phase flow, which are presented mathematically in the form of fractional order derivatives. The contribution of this work is a more detailed description of the behavior of the stability of the reactor in the time domain during transients and the use of tools such as phase planes and the long Lyapunov exponents (LLE) of the reduced model of fractional order (MORF). The reduced order model is a set of time-dependent non-linear equations to describe the behavior of nuclear power with feedback, by Doppler effect and fraction of voids.
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