Capacitor Voltage of Resonant Converter Solution

STEP 0: Pre-Calculation Summary
Formula Used
Capacitor Voltage = Source Voltage*(1-cos(Angular Frequency*Time Period))
Vc = Vs*(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
Vc = Vs*(1-cos(ω*t)) --> 2.53*(1-cos(3.78*2))
Evaluating ... ...
Vc = 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 00.007 seconds)

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Created by Mohamed Fazil V
Acharya institute of technology (AIT), Bengaluru
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GURU TEGH BAHADUR INSTITUTE OF TECHNOLOGY (GTBIT), NEW DELHI
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Resonant Converters Calculators

Inductor Current of Resonant Converter
​ LaTeX ​ Go Inductor Current = Load Current-Maximum Current*sin(Angular Frequency)*Time Period
Capacitor Voltage of Resonant Converter
​ LaTeX ​ Go Capacitor Voltage = Source Voltage*(1-cos(Angular Frequency*Time Period))
Diode Current of Resonant Converter
​ LaTeX ​ Go Diode Current = Load Current-Source Voltage/Inductance*Time Period
Peak Voltage of Resonant Converter
​ LaTeX ​ Go Peak Voltage = Source Voltage+Load Current*Load Impedance

Capacitor Voltage of Resonant Converter Formula

​LaTeX ​Go
Capacitor Voltage = Source Voltage*(1-cos(Angular Frequency*Time Period))
Vc = Vs*(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 Vc 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 (Vs), 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 Vc = Vs*(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 (Vs), 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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