Question

In a buck converter, consider all components to be ideal. Assume an input voltage of 100V and an average voltage of 50 V, fs = 20 kHz, and an output power of 250 W. Determine: (a) The duty ratio (b) The average current in the inductor (c) Determine the value of the inductance to limit the peak inductor current to 6.25 A and plot the inductor current.

Answer #1

The components of a buck boost converter are ideal. The output
voltage Vo is regulated at 15V while Vd is
varied between 8 – 40V, fs is 20kHz and C is
470uF.
a) Assuming that Po ? 2W, calculate Lmin that
will keep the converter operating in acontinuous conduction
mode.
b) Plot inductor voltage and current.

A buck-boost converter has an input voltage V_in= 10 V,
switching frequency fs= 100 kHz, duty ratio d= 30%, load resistance
R_L= 20Ω, inductance =100 μH, and
capacitance= 680 μF.
1) Calculate the following values, and include units in your
answers:
a) Average output voltage,V_o
b) Average output current,I_o
c) Average input current,I_in
d) Average current through the inductor in steady-state
e) Peak-to-peak current ripple through the inductor, Δ_iL
f) Average inductor current that will cause the converter to
enter...

A buck converter has an input voltage V in = 24 V, switching
frequency f s = 100 kHz, duty ratio d = 50%, load resistance R L =
10 Ω , inductance 100 μH, and capacitance 680 μF.
1) Calculate the following values, and include units in your
answers :
a) Average output voltage, V_o
b) Average output current, I_o
c) Peak - to - peak current ripple, Δi_L
d) Output current that will cause the converter to enter...

Design a Boost Converter with the following characteristics:
Vg = 100V, V = 200V, load power 800W, switching
frequency 100 kHz. For the design consider all elements to be
ideal.
1) What is the duty cycle, D?
2) What is the inductor average current, IL?
3) Design the inductor and capacitor so that the peak-to-peak
inductor current ripple is 40% of IL and the capacitor
peak-to-peak voltage ripple is 2.5 % of V.
4) Draw the waveforms of voltage and...

A boost converter has an input voltage Vin= 10 V, switching
frequency fs= 100 kHz, duty ratio d=50%, load resistance RL= 20 Ω,
inductance 100 μH, and capacitance 680 μF.
Qualitatively describe the effect on Io, Δi_L, and Δv_C if
you:
a) Increase the duty ratio
b) Increase the switching frequency
c) Increase the load resistance

Problem 2: A photovoltaic module is used to supply
constant 12 V that needed by a Tablet. Depending on insolation from
the Sun, the photovoltaic module’s output voltage is changing
between 18 V to 36 V (dc).
Thus, a buck converter is used between the netbook and the
photovoltaic module.
1) What is the duty ratio range of the dc/dc converter?
2) If the inductance of the buck converter inductor is 40 uH, what
is the minimum switching frequency to...

A Buck and Boost converter supplies a 28V DC load. The source
voltage varies between 24 and 32 V DC. The load current varies from
7 to 10A. Determine is minimum inductance needed for continuous
current. The switching frequency is 10kHz.

A dc-dc converter is needed to provide power for a video camera
pack from an automobile. In normal operation, the car electrical
system varies between 10 V and 15 V. The video camera requires an
accurate 10.2 V supply for proper operation and battery charging.
The power level is 20 W. Isolation is recommended to avoid any
issues about ground connections. At this power level, a switching
frequency of 200 kHz should be feasible. Draw a circuit that can
perform...

A dc-dc converter is needed to provide power for a video camera
pack from an automobile. In normal operation, the car electrical
system varies between 10 V and 15 V. The video camera requires an
accurate 10.2 V supply for proper operation and battery charging.
The power level is 20 W. Isolation is recommended to avoid any
issues about ground connections. At this power level, a switching
frequency of 200 kHz should be feasible. Draw a circuit that can
perform...

1. An ac generator has a frequency of 2.5 kHz and a voltage of
240 V. An inductance L1 = 6.0 mH is connected across its terminals.
Then a second inductance L2 = 8.0 mH is connected in parallel with
L1. Find (a) the current that the generator delivers to L1
2. A 8.3-mH inductor is connected to an ac generator (11 V rms,
750 Hz). Determine the peak value of the current supplied
by the generator. Note: The ac...

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