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Ingeniería 30 (1): 25-43, enero-junio, 2020. ISSN: 2215-2652. San José, Costa Rica DOI 10.15517/ri.v30i1.37299
43
Se conrman los resultados del modelo teórico con la simulación. Las diferencias numéricas
se deben a pérdidas de conmutación y en el núcleo del transformador Flyback. De igual forma, se
validan para diversos conjuntos de parámetros y entradas.
7. CONCLUSIONES
El presente documento detalla el modelado matemático de pérdidas de los componentes reales
del Convertidor DC-DC denominado 1-FB
-1
propuesto por Gólcher (2014). Los modelos propues-
tos incorporan al modelo canónico ideal las pérdidas en el cobre del transformador, las pérdidas de
conducción en el transistor, las pérdidas de conducción en el diodo y las pérdidas en la resistencia
equivalente serial del capacitor. Todos los resultados matemáticos son coincidentes con el simula-
dor GeckoCircuits utilizado para la validación de los modelos propuestos. Diferencias en decimales
de los resultados matemáticos con respecto a los simulados se deben a las pérdidas propias que el
simulador considera que no se pueden manualmente aislar.
En síntesis, el circuito equivalente que modela el convertidor DC Convertidor 1-FB
-1
consi-
derando las pérdidas de cobre en el transformador, las pérdidas de conducción en el transistor, las
pérdidas de conducción en el diodo y las pérdidas de la resistencia equivalente en serie del capa-
citor se muestra en la Figura 22. El modelo es únicamente válido para ciclos de trabajo mayores a
un medio. Un análisis similar puede realizarse para ciclos de trabajo menores.
Figura 22. Modelo DC del Convertidor 1-FB
-1
incluyendo las pérdidas analizadas. Fuente: (el autor)
REFERENCIAS
Erickson, R. & Maksimovic, D. (2001). Fundamentals of power electronics. Norwell, MA: Kluwer Academic Publishers.
Gólcher, L (2014). Nuevo Convertidor DC/DC 1-FB
-1
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