First Order Harmonic Switch Network Output Voltage of Resonant Converter Calculator

✖Input Voltage resonant converters are a type of power converter that uses resonance to achieve zero-voltage switching (ZVS) of the input switch.ⓘ Input Voltage [V_in]			+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%

✖The resonant voltage of a resonant converter is the voltage that appears across the resonant tank circuit at the resonant frequency.ⓘ First Order Harmonic Switch Network Output Voltage of Resonant Converter [V_r]

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Formula

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First Order Harmonic Switch Network Output Voltage of Resonant Converter

Formula

`"V"_{"r"} = (4*("V"_{"in"}/2))/pi*sin("ω"*"t")`

Example

`"3.631472V"=(4*("5.96V"/2))/pi*sin("3.78rad/s"*"2s")`

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First Order Harmonic Switch Network Output Voltage of Resonant Converter Solution

STEP 0: Pre-Calculation Summary

Formula Used

Resonant Voltage = (4*(Input Voltage/2))/pi*sin(Angular Frequency*Time Period)
V_r = (4*(V_in/2))/pi*sin(ω*t)
This formula uses 1 Constants, 1 Functions, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

sin - Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse., sin(Angle)

Variables Used

Resonant Voltage - (Measured in Volt) - The resonant voltage of a resonant converter is the voltage that appears across the resonant tank circuit at the resonant frequency.
Input Voltage - (Measured in Volt) - Input Voltage resonant converters are a type of power converter that uses resonance to achieve zero-voltage switching (ZVS) of the input switch.
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

Input Voltage: 5.96 Volt --> 5.96 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_r = (4*(V_in/2))/pi*sin(ω*t) --> (4*(5.96/2))/pi*sin(3.78*2)

Evaluating ... ...

V_r = 3.6314717242387

STEP 3: Convert Result to Output's Unit

3.6314717242387 Volt --> No Conversion Required

FINAL ANSWER

3.6314717242387 ≈ 3.631472 Volt <-- Resonant Voltage

(Calculation completed in 00.020 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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< 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

First Order Harmonic Switch Network Output Voltage of Resonant Converter Formula

Resonant Voltage = (4*(Input Voltage/2))/pi*sin(Angular Frequency*Time Period)
V_r = (4*(V_in/2))/pi*sin(ω*t)

What is First Order Harmonic Switch Network Output Voltage of Resonant Converter ?

In a resonant converter, the term "first-order harmonic" typically refers to the fundamental frequency component of the output voltage waveform. The output voltage of a resonant converter is often characterized by multiple harmonic frequencies due to its switching operation, and the first-order harmonic is the fundamental frequency of the output waveform. The first-order harmonic is the component of the output voltage that corresponds to the desired output frequency and is typically the primary frequency component of interest. For example, if you are designing a resonant converter to convert DC voltage to AC voltage, the first-order harmonic would be the fundamental AC frequency that you want to generate (e.g., 50 Hz or 60 Hz for standard power grids).

How to Calculate First Order Harmonic Switch Network Output Voltage of Resonant Converter?

First Order Harmonic Switch Network Output Voltage of Resonant Converter calculator uses Resonant Voltage = (4*(Input Voltage/2))/pi*sin(Angular Frequency*Time Period) to calculate the Resonant Voltage, First Order Harmonic Switch Network Output Voltage of Resonant Converter is the fundamental frequency component of the switch network output voltage. The fundamental frequency is the frequency at which the switch network output voltage waveform repeats itself. The first order harmonic switch network output voltage of a resonant converter is typically rectified and filtered to produce a DC output voltage. The DC output voltage of the resonant converter is then regulated to the desired output voltage. The first order harmonic switch network output voltage of resonant converters is a versatile and important parameter that is used in a wide range of applications. Resonant Voltage is denoted by V_r symbol.

How to calculate First Order Harmonic Switch Network Output Voltage of Resonant Converter using this online calculator? To use this online calculator for First Order Harmonic Switch Network Output Voltage of Resonant Converter, enter Input Voltage (V_in), Angular Frequency (ω) & Time Period (t) and hit the calculate button. Here is how the First Order Harmonic Switch Network Output Voltage of Resonant Converter calculation can be explained with given input values -> 3.631472 = (4*(5.96/2))/pi*sin(3.78*2).

FAQ

What is First Order Harmonic Switch Network Output Voltage of Resonant Converter?

First Order Harmonic Switch Network Output Voltage of Resonant Converter is the fundamental frequency component of the switch network output voltage. The fundamental frequency is the frequency at which the switch network output voltage waveform repeats itself. The first order harmonic switch network output voltage of a resonant converter is typically rectified and filtered to produce a DC output voltage. The DC output voltage of the resonant converter is then regulated to the desired output voltage. The first order harmonic switch network output voltage of resonant converters is a versatile and important parameter that is used in a wide range of applications and is represented as V_r = (4*(V_in/2))/pi*sin(ω*t) or Resonant Voltage = (4*(Input Voltage/2))/pi*sin(Angular Frequency*Time Period). Input Voltage resonant converters are a type of power converter that uses resonance to achieve zero-voltage switching (ZVS) of the input switch, 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 First Order Harmonic Switch Network Output Voltage of Resonant Converter?

First Order Harmonic Switch Network Output Voltage of Resonant Converter is the fundamental frequency component of the switch network output voltage. The fundamental frequency is the frequency at which the switch network output voltage waveform repeats itself. The first order harmonic switch network output voltage of a resonant converter is typically rectified and filtered to produce a DC output voltage. The DC output voltage of the resonant converter is then regulated to the desired output voltage. The first order harmonic switch network output voltage of resonant converters is a versatile and important parameter that is used in a wide range of applications is calculated using Resonant Voltage = (4*(Input Voltage/2))/pi*sin(Angular Frequency*Time Period). To calculate First Order Harmonic Switch Network Output Voltage of Resonant Converter, you need Input Voltage (V_in), Angular Frequency (ω) & Time Period (t). With our tool, you need to enter the respective value for Input 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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