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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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Problem 2. (Unidirectional DC/DC Boost Converter). Consider a Unidirectional DC/DC Boost Converter with the following parameters: R = 50.02 C =100.0µF L = 100.0mH f, = 10.0kHz Let the input voltage be V, = 10.0V and the duty cycle be D = 0.75 . Call vc(t), i, (t) the voltage across the capacitor and the current through the inductor respectively. Q1: determine the expected steady state values for ve(t),i, (t), and also the expected ripples Av (1), Ai,(1) Q2: assuming zero initial conditions v.(0) = 0, i,(0) =0 sketch v.(t),i, (t) in the first three periods 0<tS 3T, . In particular use the Taylor series approximation in the notes and show the values for t = 0, DT,, T,, T,+DT, ,2T,, 2T,+DT,, 3T,. in Q3: using the same state equations in the notes, compute the steady state values for Vc(0), vc(DT,),i¿ (0),i¿(DT,), where time t = 0 denotes the beginning of "switch on" and time t = DT, denotes the beginning of "switch off" (Hint: in steady state v.(0) = v.(T,) and i.(0) = i.(T,) ). Verify that the ripples are close to what you expect.
Transcribed Image Text:Problem 2. (Unidirectional DC/DC Boost Converter). Consider a Unidirectional DC/DC Boost Converter with the following parameters: R = 50.02 C =100.0µF L = 100.0mH f, = 10.0kHz Let the input voltage be V, = 10.0V and the duty cycle be D = 0.75 . Call vc(t), i, (t) the voltage across the capacitor and the current through the inductor respectively. Q1: determine the expected steady state values for ve(t),i, (t), and also the expected ripples Av (1), Ai,(1) Q2: assuming zero initial conditions v.(0) = 0, i,(0) =0 sketch v.(t),i, (t) in the first three periods 0<tS 3T, . In particular use the Taylor series approximation in the notes and show the values for t = 0, DT,, T,, T,+DT, ,2T,, 2T,+DT,, 3T,. in Q3: using the same state equations in the notes, compute the steady state values for Vc(0), vc(DT,),i¿ (0),i¿(DT,), where time t = 0 denotes the beginning of "switch on" and time t = DT, denotes the beginning of "switch off" (Hint: in steady state v.(0) = v.(T,) and i.(0) = i.(T,) ). Verify that the ripples are close to what you expect.
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