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------------------------------------------------ What are the formulas for the following in buck converters and boost converters?

1) Average voltage for the capacitor and inductor

2) Average current for the diode, switch, inductor, and capacitor

3) RMS current of the switch, diode, inductor, capacitor, and the load (output)

4) RMS voltage of the switch, diode, inductor, capacitor, and the load (output)

In a buck converter, the formulas for average voltage and current vary depending on the specific component (capacitor, inductor, diode, switch) and the RMS values are determined by the operating conditions and design choices.

In a Buck Converter:

Average voltage for capacitor: The average voltage across the capacitor in a buck converter is equal to the output voltage.

Vcap_avg = Vout

Average current for Diode: The average current through the diode in a buck converter can be calculated as the difference between the inductor current and the output current.

Id_avg = IL_avg - Iout_avg

Average current for Switch: The average current through the switch in a buck converter is equal to the inductor current.

Isw_avg = IL_avg

Average current for Inductor: The average current through the inductor in a buck converter is equal to the output current.

IL_avg = Iout_avg

Average current for Capacitor: The average current through the capacitor in a buck converter is zero since it acts as a DC blocking element.

RMS current:

RMS current of the Switch: Isw_rms = Isw_avg

RMS current of the Diode: Id_rms = sqrt(2) * Id_avg

RMS current of the Inductor: IL_rms = sqrt(2) * IL_avg

RMS current of the Capacitor: Icap_rms = 0 (since the average current is zero)

RMS current of the Load (output): Iout_rms = sqrt(2) * Iout_avg

RMS voltage:

RMS voltage of the Switch: Vsw_rms = Vsw_max (depends on the rating of the switch)

RMS voltage of the Diode: Vd_rms = Vout + Vd_drop (Vd_drop is the forward voltage drop of the diode)

RMS voltage of the Inductor: VL_rms = sqrt(2) * VL_peak (depends on the inductor design)

RMS voltage of the Capacitor: Vcap_rms = sqrt(2) * Vcap_peak (depends on the capacitor design)

RMS voltage of the Load (output): Vout_rms = Vout

Note: The RMS values for the components depend on the operating conditions, component ratings, and design parameters of the specific buck converter circuit.

In a buck converter, the formulas for average voltage and current vary depending on the specific component (capacitor, inductor, diode, switch) and the RMS values are determined by the operating conditions and design choices.

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