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An analysis of the Buck-Boost circuit focusing on the diode losses. It includes equations of the subcircuits, balances of voltage and charge, considerations of the balance equations, and the analysis of the circuit final. The document also covers the calculation of powers and efficiency.
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SubcircuitosSwitch ON Ecuaciones de los SubcircuitosSwitch OFF Switch ONVoltaje en el inductor - Switch ON Switch OFFCorriente en el capacitor - Switch ON Voltaje en el inductor - Switch OFFCorriente en el capacitor - Switch OFF Ecuaciones de balancesBalance de Voltio segundo Consideraciones de las ecuaciones de balanceBalance de carga AnálisisEcuación Circuitos equivalentesCircuito equivalente Transformador equivalenteCircuito final Análisis del circuito finalPotencias Eficiencia
Ecuaciones de balances
Consideraciones de las ecuaciones de balance
Análisis Debido a que en la ecuación de balance de voltio segundo posee los parametros:
Se debe implementar una fuente de corriente independiente.
< V (^) L >= DT (^) s (V (^) g ) +D T′^ s (− V (^) D + V ) = 0 < V (^) L >= DV (^) g −D V′^ D +D V′
< i (^) C >= DT (^) s (− (^) RV^ ) +D T′^ s (− I (^) L − (^) RV^ ) = 0 < i (^) C >= − (^) RV^ −D I′^ L
DVg D V′
Por tanto, se tiene el circuito equivalente:
Circuitos equivalentes
I (^) g = T^1 s^ ∫ 0 Ts i (^) g ( )t dt = DIL I (^) g =DIL
Análisis del circuito final
Por tanto:
V (^) Equivalente =V Dg −V (^) D D′
−V D ′^ =VEquivalente =V Dg −VD D ′^ =V (^) g (D −^ V^ DV^ gD′ ) V^ Vg^ =−^ (D^ −^ V^ DV^ gD′^ )^ (^ D^1 ′^ )
P (^) IN =V (^) g (DI (^) L )
P (^) out =−V (D I ′^ L )
n = PPoutIN^ = −VV (^) g^ ((DI D I^ ′^ LL )^ )^ =− (^) V^ Vg^ ( DD′ )= − [− (D −^ V^ DV^ gD′ ) ( (^) D^1 ′^ )] ( DD′ )
n = [(D −^ V^ DV^ gD′ )] ( (^) D^1 )