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 minimal number of diodes and transistors, such that the converter operates over the entire range of duty cycles 0≤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: (a) (b) Realize the switches using SPST ideal switches, and explicitly define the voltage and current of each switch. Switch 4 position 2 1 DT, Fig. 4.56 Switch control method for Prob- lems 4.1 to 4.6. 0 t 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 (c) (d) (e) input source voltage. 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 and/or diodes, and whether the realiza- tion requires single-quadrant, current-bidirectional two-quadrant, voltage-bidirectional two- quadrant, or four-quadrant switches. 4.5 2 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 minimal number of diodes and transistors, such that the converter operates over the entire range of duty cycles 0≤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: (a) (b) Realize the switches using SPST ideal switches, and explicitly define the voltage and current of each switch. Switch 4 position 2 1 DT, Fig. 4.56 Switch control method for Prob- lems 4.1 to 4.6. 0 t 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 (c) (d) (e) input source voltage. 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 and/or diodes, and whether the realiza- tion requires single-quadrant, current-bidirectional two-quadrant, voltage-bidirectional two- quadrant, or four-quadrant switches. 4.5 2 ele
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College Mathematics for Business Economics Life Sciences and Social Sciences
ISBN: 978-0321614001
12th edition
Authors: Raymond A. Barnett, Michael R. Ziegler, Karl E. Byleen
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