A New Stability Analysis Method for DC to DC Series Resonant Converters
Un Nuevo Método para el Análisis de Estabilidad de Convertidores Resonantes Serie de CD a CD.
Victor Hernández Guzmán
Universidad Autónoma de Querétaro, Facultad de Ingeniería. A.P. 3–24, C.P. 76150.
Querétaro, Qro., México. ]]>
e–mail: vmhg@uaq.mx
Article received on July 19, 2006; accepted on October 01, 2007
Abstract
In this note we present a novel stability analysis method for DC to DC series resonant converters which relies on the phase plane technique. This method gives more insight into the rationale behind the stability conditions because these are obtained from geometrical considerations instead of eigenvalues of linear discrete time approximations as presented in previous works. The proposed method allows to understand easily how the performance is affected as the location of the operating point changes on the phase plane which is not an easy task when previously proposed methods are used. We show how to use numerical computations, based on this stability analysis method, to determine graphically the region of the phase plane where asymptotically stable closed trajectories exist. Further, a nice geometrical condition is formulated to achieve the fastest convergence rate to the closed trajectory under study.
Keywords: Stability, Control of series resonant converters, Phase plane analysis.
Resumen
En este trabajo se presenta un nuevo método para el análisis de estabilidad de convertidores resonantes serie de CD a CD que se basa en al descripción del convertidor en el plano de fase. Este método facilita la comprensión del problema y de las condiciones que establecen su solución porque éstas son obtenidas a partir de consideraciones puramente geométricas en lugar de los eigenvalores de aproximaciones lineales en tiempo discreto como ha sido reportado en trabajos previos. Este método también facilita comprender como el desempeño del convertidor es afectado al cambiar la ubicación en el plano de fase del punto de operación, lo cual no es sencillo de determinar usando los métodos propuestos previamente. Se muestra como se pueden hacer cálculos numéricos, basados en este método, para determinar de manera gráfica la región del plano de fase donde existen trayectorias cerradas asintóticamente estables. También se establece una condición geométrica para obtener la tasa de convergencia más rápida a la trayectoria cerrada bajo estudio.
]]> Palabras clave: Estabilidad, Control de convertidores resonantes serie, Análisis en el plano de fase.
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