In Problems 4.1 to 4.6, the input voltage V, is de and positive with the polarity...

 

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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 Switch 4 2 operates over the entire range of duty cycles 0S DS1.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: 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. (b) 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 104 Switch Realization input source voltage. (c) 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? (d) State how each switch can be realized using transistors and/or diodes, and whether the realiza- tion requires single-quadrant, current-bidirectional two-quadrant, voltage-bidirectional two- quadrant, or four-quadrant switches. (e) 4.1 1. ele 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 Switch 4 2 operates over the entire range of duty cycles 0S DS1.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: 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. (b) 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 104 Switch Realization input source voltage. (c) 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? (d) State how each switch can be realized using transistors and/or diodes, and whether the realiza- tion requires single-quadrant, current-bidirectional two-quadrant, voltage-bidirectional two- quadrant, or four-quadrant switches. (e) 4.1 1. ele