Capacitor Voltage of Resonant Converter Calculator

✖Source Voltage resonant converter (SVRC) is a type of dc-dc converter that uses a resonant circuit to achieve zero voltage switching (ZVS) of the switching devices.ⓘ Source Voltage [V_s]			+10% -10%
✖Angular Frequency of a resonant converter is the frequency at which the resonant circuit of the converter oscillates.ⓘ Angular Frequency [ω]			+10% -10%
✖Time Period of a resonant converter is the time it takes for the resonant circuit to complete one full oscillation.ⓘ Time Period [t]			+10% -10%

✖Capacitor Voltage in a resonant converter is the voltage across the resonant capacitor.ⓘ Capacitor Voltage of Resonant Converter [V_c]

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Formula

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Capacitor Voltage of Resonant Converter

Formula

`"V"_{"c"} = "V"_{"s"}*(1-cos("ω"*"t"))`

Example

`"1.796894V"="2.53V"*(1-cos("3.78rad/s"*"2s"))`

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Capacitor Voltage of Resonant Converter Solution

STEP 0: Pre-Calculation Summary

Formula Used

Capacitor Voltage = Source Voltage*(1-cos(Angular Frequency*Time Period))
V_c = V_s*(1-cos(ω*t))
This formula uses 1 Functions, 4 Variables

Functions Used

cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)

Variables Used

Capacitor Voltage - (Measured in Volt) - Capacitor Voltage in a resonant converter is the voltage across the resonant capacitor.
Source Voltage - (Measured in Volt) - Source Voltage resonant converter (SVRC) is a type of dc-dc converter that uses a resonant circuit to achieve zero voltage switching (ZVS) of the switching devices.
Angular Frequency - (Measured in Radian per Second) - Angular Frequency of a resonant converter is the frequency at which the resonant circuit of the converter oscillates.
Time Period - (Measured in Second) - Time Period of a resonant converter is the time it takes for the resonant circuit to complete one full oscillation.

STEP 1: Convert Input(s) to Base Unit

Source Voltage: 2.53 Volt --> 2.53 Volt No Conversion Required
Angular Frequency: 3.78 Radian per Second --> 3.78 Radian per Second No Conversion Required
Time Period: 2 Second --> 2 Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_c = V_s*(1-cos(ω*t)) --> 2.53*(1-cos(3.78*2))

Evaluating ... ...

V_c = 1.79689372841161

STEP 3: Convert Result to Output's Unit

1.79689372841161 Volt --> No Conversion Required

FINAL ANSWER

1.79689372841161 ≈ 1.796894 Volt <-- Capacitor Voltage

(Calculation completed in 00.020 seconds)

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Created by Mohamed Fazil V

Acharya institute of technology (AIT), Bengaluru

Mohamed Fazil V has created this Calculator and 50+ more calculators!

Verified by Aman Dhussawat

GURU TEGH BAHADUR INSTITUTE OF TECHNOLOGY (GTBIT), NEW DELHI

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< 11 Resonant Converters Calculators

LCC Parallel Frequency of Resonant Converter

Go Parallel Resonant Frequency = 1/(2*pi*sqrt(Inductance*((Resonant Capacitor*Parallel Resonant Capacitor)/(Resonant Capacitor+Parallel Resonant Capacitor))))

Resonant Tank Current of Resonant Converter

Go Resonant Tank Current = pi/2*Output Current/Turn Ratio*sin(2*pi*Switching Frequency*Time Period)

Switch Network Output Voltage of Resonant Converter

Go Output Voltage = ((2*Input Voltage)/pi)*sin(2*pi*Switching Frequency*Time Period)

LLC Series Frequency of Resonant Converter

Go Series Resonant Frequency = 1/((2*pi)*sqrt((Inductance+Parallel Resonant Inductance)*Resonant Capacitor))

Inductor Current of Resonant Converter

Go Inductor Current = Load Current-Maximum Current*sin(Angular Frequency)*Time Period

First Order Harmonic Switch Network Output Voltage of Resonant Converter

Go Resonant Voltage = (4*(Input Voltage/2))/pi*sin(Angular Frequency*Time Period)

LLC Parallel Frequency of Resonant Converter

Go Parallel Resonant Frequency = 1/(2*pi*sqrt(Inductance*Resonant Capacitor))

Capacitor Voltage of Resonant Converter

Go Capacitor Voltage = Source Voltage*(1-cos(Angular Frequency*Time Period))

Diode Current of Resonant Converter

Go Diode Current = Load Current-Source Voltage/Inductance*Time Period

Peak Voltage of Resonant Converter

Go Peak Voltage = Source Voltage+Load Current*Load Impedance

Equivalent Resistor of Resonant Converter

Go Equivalent Resistance = (8*Turn Ratio^2)/pi^2*Output Resistance

Capacitor Voltage of Resonant Converter Formula

Capacitor Voltage = Source Voltage*(1-cos(Angular Frequency*Time Period))
V_c = V_s*(1-cos(ω*t))

What is Capacitor Voltage of Resonant Converter ?

The capacitor voltage in a resonant converter is another important parameter that affects the operation and performance of the converter. Similar to the inductor current, the capacitor voltage often follows a sinusoidal or quasi-sinusoidal waveform. The capacitor voltage plays a crucial role in maintaining the output voltage regulation of the converter. The specific characteristics of the capacitor voltage in a resonant converter will depend on the converter's design, topology, and operating conditions. Proper design and control of the capacitor voltage are crucial to achieving efficient power conversion and maintaining the desired output voltage under varying load conditions.

How to Calculate Capacitor Voltage of Resonant Converter?

Capacitor Voltage of Resonant Converter calculator uses Capacitor Voltage = Source Voltage*(1-cos(Angular Frequency*Time Period)) to calculate the Capacitor Voltage, Capacitor Voltage of Resonant Converter is the voltage across the resonant capacitor in the converter. It is an important parameter in the design and operation of resonant converters, as it affects the efficiency, power handling capability, and EMI performance of the converter. The capacitor voltage in a resonant converter is typically sinusoidal, and its amplitude is determined by the resonant frequency, the input voltage, and the load current. The capacitor voltage is also affected by the switching frequency of the converter, but this effect is typically small. Capacitor Voltage is denoted by V_c symbol.

How to calculate Capacitor Voltage of Resonant Converter using this online calculator? To use this online calculator for Capacitor Voltage of Resonant Converter, enter Source Voltage (V_s), Angular Frequency (ω) & Time Period (t) and hit the calculate button. Here is how the Capacitor Voltage of Resonant Converter calculation can be explained with given input values -> 1.796894 = 2.53*(1-cos(3.78*2)).

FAQ

What is Capacitor Voltage of Resonant Converter?

Capacitor Voltage of Resonant Converter is the voltage across the resonant capacitor in the converter. It is an important parameter in the design and operation of resonant converters, as it affects the efficiency, power handling capability, and EMI performance of the converter. The capacitor voltage in a resonant converter is typically sinusoidal, and its amplitude is determined by the resonant frequency, the input voltage, and the load current. The capacitor voltage is also affected by the switching frequency of the converter, but this effect is typically small and is represented as V_c = V_s*(1-cos(ω*t)) or Capacitor Voltage = Source Voltage*(1-cos(Angular Frequency*Time Period)). Source Voltage resonant converter (SVRC) is a type of dc-dc converter that uses a resonant circuit to achieve zero voltage switching (ZVS) of the switching devices, Angular Frequency of a resonant converter is the frequency at which the resonant circuit of the converter oscillates & Time Period of a resonant converter is the time it takes for the resonant circuit to complete one full oscillation.

How to calculate Capacitor Voltage of Resonant Converter?

Capacitor Voltage of Resonant Converter is the voltage across the resonant capacitor in the converter. It is an important parameter in the design and operation of resonant converters, as it affects the efficiency, power handling capability, and EMI performance of the converter. The capacitor voltage in a resonant converter is typically sinusoidal, and its amplitude is determined by the resonant frequency, the input voltage, and the load current. The capacitor voltage is also affected by the switching frequency of the converter, but this effect is typically small is calculated using Capacitor Voltage = Source Voltage*(1-cos(Angular Frequency*Time Period)). To calculate Capacitor Voltage of Resonant Converter, you need Source Voltage (V_s), Angular Frequency (ω) & Time Period (t). With our tool, you need to enter the respective value for Source Voltage, Angular Frequency & Time Period and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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