In Problems 4.1 to 46, the input voltage V, is de and positive with the polarity shown. Specify how to implement the switches using a position minimal number of diodes and transistors, such that the converter Switch operates over the entire range of duty cycles OS DS 1. The switch states should vary as shown in Fig. 4.56. You may assume that the inductor current ripples and capacitor voltage ripples are small. For each problem, do the following: Dr, (a) Realize the switches using SPST ideal switches, and explicitly define the voltage and Fig. 4.56 Switch control method for Prob- current of each switch. lems 4.1 o 4.6. Express the on-state current and off-state volt- age of each SPST switch in terms of the converter inductor currents, capacitor voltages, and/or (b) input source voltage. (e) Solve the converter to determine the inductor currents and capacitor voltages, as in Chapter 2.

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In Problems 4.1 to 4.6, the input voltage V, is de and positive with
the polarity shown. Specify how to implement the switches using a position
minimal number of diodes and transistors, such that the converter
operates over the entire range of duty cycles OS DS 1. The switch
states should vary as shown in Fig. 4.56. You may assume that the
inductor current ripples and capacitor voltage ripples are small.
Switch
2
For each problem, do the following:
DT,
T,
(a) Realize the switches using SPST ideal
switches, and explicitly define the voltage and Fig. 4.56 Switch control method for Prob
current of each switch.
lems 4.1 to 4.6.
Express the on-state current and off-state volt-
age of each SPST switch in terms of the converter inductor currents, capacitor voltages, and/or
imput source voltage.
(b)
(e)
Solve the converter to determine the inductor currents and capacitor voltages, as in Chapter 2.
Determine the polarities of the switch on-state currents and off-state voltages. Do the polarities
vary with duty cycle?
State how each switch can be realized using transistors andlor diodes, and whether the realiza-
tion requires single-quadrant, current-bidirectional two-quadrant, voltage-bidirectional two-
quadrant, or four-quadrant switches.
(d)
(e)
4.1
4.2
ee
eee
Transcribed Image Text:In Problems 4.1 to 4.6, the input voltage V, is de and positive with the polarity shown. Specify how to implement the switches using a position minimal number of diodes and transistors, such that the converter operates over the entire range of duty cycles OS DS 1. The switch states should vary as shown in Fig. 4.56. You may assume that the inductor current ripples and capacitor voltage ripples are small. Switch 2 For each problem, do the following: DT, T, (a) Realize the switches using SPST ideal switches, and explicitly define the voltage and Fig. 4.56 Switch control method for Prob current of each switch. lems 4.1 to 4.6. Express the on-state current and off-state volt- age of each SPST switch in terms of the converter inductor currents, capacitor voltages, and/or imput source voltage. (b) (e) Solve the converter to determine the inductor currents and capacitor voltages, as in Chapter 2. Determine the polarities of the switch on-state currents and off-state voltages. Do the polarities vary with duty cycle? State how each switch can be realized using transistors andlor diodes, and whether the realiza- tion requires single-quadrant, current-bidirectional two-quadrant, voltage-bidirectional two- quadrant, or four-quadrant switches. (d) (e) 4.1 4.2 ee eee
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