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1) A dc-dc buck converter has a 48 V input. This converter is connected to a dc motor that spins at 2000 RPM given 24 V at its terminals, 1000 RPM for 12 V, and follows a linear speed relation at other voltages. The motor is characterized by a voltage source in series with an inductance and resistance. The resistance is 0.5 2. The inductance is 10 mH. The converter switches at 20 kHz. At 2000 RPM with no mechanical load, the motor draws 0.5 A. a) What is the no-load motor speed at 20% duty ratio? At 65% duty ratio? b) The buck converter has been set to operate the motor at 2500 RPM, when the FET abruptly turns off. Sketch the motor current after this turn-off. Where in the circuit does the current flow? When does it equal zero? (You may assume the motor electromagnetic field [EMF] remains constant after the FET turns off.)

1) A dc-dc buck converter has a 48 V input. This converter is connected to a dc motor that spins at 2000 RPM given 24 V at its terminals, 1000 RPM for 12 V, and follows a linear speed relation at other voltages. The motor is characterized by a voltage source in series with an inductance and resistance. The resistance is 0.5 2. The inductance is 10 mH. The converter switches at 20 kHz. At 2000 RPM with no mechanical load, the motor draws 0.5 A. a) What is the no-load motor speed at 20% duty ratio? At 65% duty ratio? b) The buck converter has been set to operate the motor at 2500 RPM, when the FET abruptly turns off. Sketch the motor current after this turn-off. Where in the circuit does the current flow? When does it equal zero? (You may assume the motor electromagnetic field [EMF] remains constant after the FET turns off.)

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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1) A dc-dc buck converter has a 48 V input. This converter is connected to a dc motor that spins at 2000 RPM given 24 V at its terminals, 1000 RPM for 12 V, and follows a linear speed relation at other voltages. The motor is characterized by a voltage source in series with an inductance and resistance. The resistance is 0.5 2. The inductance is 10 mH. The converter switches at 20 kHz. At 2000 RPM with no mechanical load, the motor draws 0.5 A. a) What is the no-load motor speed at 20% duty ratio? At 65% duty ratio? b) The buck converter has been set to operate the motor at 2500 RPM, when the FET abruptly turns off. Sketch the motor current after this turn-off. Where in the circuit does the current flow? When does it equal zero? (You may assume the motor electromagnetic field [EMF] remains constant after the FET turns off.)
Transcribed Image Text:1) A dc-dc buck converter has a 48 V input. This converter is connected to a dc motor that spins at 2000 RPM given 24 V at its terminals, 1000 RPM for 12 V, and follows a linear speed relation at other voltages. The motor is characterized by a voltage source in series with an inductance and resistance. The resistance is 0.5 2. The inductance is 10 mH. The converter switches at 20 kHz. At 2000 RPM with no mechanical load, the motor draws 0.5 A. a) What is the no-load motor speed at 20% duty ratio? At 65% duty ratio? b) The buck converter has been set to operate the motor at 2500 RPM, when the FET abruptly turns off. Sketch the motor current after this turn-off. Where in the circuit does the current flow? When does it equal zero? (You may assume the motor electromagnetic field [EMF] remains constant after the FET turns off.)
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