Boost converter Flashcards

1
Q

What is the circuit for the boost converter?

A

[Picture5]

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2
Q

What are the features of the circuit?

A

> The output voltage is higher than the input voltage

> All components are considered to be ideal

> The input current to the boost converter is continuous

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3
Q

What happens when the switch is closed?

A

> The inductor is connected across the power supply

> The current will rise dramatically

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4
Q

What is the equations for the voltage across the inductor when the switch is closed?

A

Vi = L(∆ion / ton)

Vi = L(∆ion / KTS)

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5
Q

What happens when the switch is open?

A

> The inductor and the power supply are in series

> The voltage is higher

> The inductor discharges

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6
Q

What is the equations for the voltage across the inductor when the switch is open?

A

VL = L (∆ioff / toff)

VL = L (∆ioff / (1 - K)TS)

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7
Q

What is the relationship for the current when the switch is closed and open?

A

∆ion = -∆ioff

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8
Q

What is the voltage relationship equation?

A

1 / (1 - K) = VO / Vi

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9
Q

Derive the voltage relationship equation

A

[Picture6]

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10
Q

What are the power relationships for an ideal boost converter?

A

Pin = Pout

Pout = IOVO

Pin = Vi × iavg = Vi×Ii

IOVO = ViIi

VO / Vi = Ii / IO

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11
Q

What is the current relationship equation?

A

1 / (1 - K) = Ii / IO

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12
Q

Draw the waveforms for inductor current, switch voltage, switch current, diode current

A

[Picture7]

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13
Q

What is required to calculate the value of the inductor when the switch is closed?

A

> PWM Duty cycle

> Input voltage

> Switching frequency

> Input current change

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14
Q

What is required to calculate the value of the inductor when the switch is open?

A

> PWM Duty cycle

> Input voltage

> Output voltage

> Switching frequency

> Input current change

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15
Q

What is the assumption with C0?

A

> That it is so large that it can be ignored.

> In real world examples, this is not the case

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16
Q

What is the ∆Q for the time when the switch is closed?

A

∆Q = I0KTS = (IOK) / fS

17
Q

What are the equation to calculate CO value? Derive it

A

C0 = IOK / (vO×fS)

C0 = VOK / (vO×R× fS)

Q = COvO

∆Q = (IOK) / fS

(IOK) / vOfS = CO

18
Q

What is the equation to calculate the output voltage ripple?

A

∆vO / VO = KTS / COR

19
Q

What is the average voltage of the inductor?

A

0V

20
Q

What is the average switch voltage?

A

VS = VL + Vi = VI