LLC Series Frequency of Resonant Converter Calculator

✖Inductance of a resonant converter is a key component that determines the resonant frequency and power transfer capability of the converter.ⓘ Inductance [L]			+10% -10%
✖Parallel Resonant Inductance in a parallel resonant circuit is responsible for storing energy and releasing it at the resonant frequency.ⓘ Parallel Resonant Inductance [L_r(\|\|)]			+10% -10%
✖Resonant Capacitor is a capacitor that is used in a resonant circuit to create a resonant frequency.ⓘ Resonant Capacitor [C_r]			+10% -10%

✖Series Resonant Frequency of a resonant converter is the frequency at which the series resonant circuit in the converter resonates.ⓘ LLC Series Frequency of Resonant Converter [F_series]

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Formula

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LLC Series Frequency of Resonant Converter

Formula

`"F"_{"series"} = 1/((2*pi)*sqrt(("L"+"L"_{"r(||)"})*"C"_{"r"}))`

Example

`"0.009202Hz"=1/((2*pi)*sqrt(("9.56H"+"14.66Ω")*"12.35F"))`

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LLC Series Frequency of Resonant Converter Solution

STEP 0: Pre-Calculation Summary

Formula Used

Series Resonant Frequency = 1/((2*pi)*sqrt((Inductance+Parallel Resonant Inductance)*Resonant Capacitor))
F_series = 1/((2*pi)*sqrt((L+L_r(||))*C_r))
This formula uses 1 Constants, 1 Functions, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Series Resonant Frequency - (Measured in Hertz) - Series Resonant Frequency of a resonant converter is the frequency at which the series resonant circuit in the converter resonates.
Inductance - (Measured in Henry) - Inductance of a resonant converter is a key component that determines the resonant frequency and power transfer capability of the converter.
Parallel Resonant Inductance - (Measured in Ohm) - Parallel Resonant Inductance in a parallel resonant circuit is responsible for storing energy and releasing it at the resonant frequency.
Resonant Capacitor - (Measured in Farad) - Resonant Capacitor is a capacitor that is used in a resonant circuit to create a resonant frequency.

STEP 1: Convert Input(s) to Base Unit

Inductance: 9.56 Henry --> 9.56 Henry No Conversion Required
Parallel Resonant Inductance: 14.66 Ohm --> 14.66 Ohm No Conversion Required
Resonant Capacitor: 12.35 Farad --> 12.35 Farad No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

F_series = 1/((2*pi)*sqrt((L+L_r(||))*C_r)) --> 1/((2*pi)*sqrt((9.56+14.66)*12.35))

Evaluating ... ...

F_series = 0.009202367721476

STEP 3: Convert Result to Output's Unit

0.009202367721476 Hertz --> No Conversion Required

FINAL ANSWER

0.009202367721476 ≈ 0.009202 Hertz <-- Series Resonant Frequency

(Calculation completed in 00.004 seconds)

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Created by Mohamed Fazil V

Acharya institute of technology (AIT), Bengaluru

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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

LLC Series Frequency of Resonant Converter Formula

Series Resonant Frequency = 1/((2*pi)*sqrt((Inductance+Parallel Resonant Inductance)*Resonant Capacitor))
F_series = 1/((2*pi)*sqrt((L+L_r(||))*C_r))

What is LLC Series Frequency of Resonant Converter ?

In a resonant LLC (inductor-inductor-capacitor) series resonant converter, the LLC series frequency refers to the resonant frequency at which the inductors (L) and the capacitor (C) in the converter's resonant tank circuit are configured to operate. The LLC resonant converter is a type of power electronics circuit designed to efficiently convert one voltage level to another, typically used in applications like power supplies and voltage regulation. The LLC series frequency is a critical design parameter for the converter and determines the frequency at which the energy is transferred between the input and output sides. This frequency is typically chosen based on the specific requirements of the application, and it can be adjusted to optimize the converter's performance.

How to Calculate LLC Series Frequency of Resonant Converter?

LLC Series Frequency of Resonant Converter calculator uses Series Resonant Frequency = 1/((2*pi)*sqrt((Inductance+Parallel Resonant Inductance)*Resonant Capacitor)) to calculate the Series Resonant Frequency, LLC Series Frequency of Resonant Converter is the frequency at which the resonant tank in the converter oscillates. The LLC series frequency is an important parameter in the design and operation of LLC resonant converters, as it affects the efficiency, power handling capability, and EMI performance of the converter. LLC resonant converters are a versatile and efficient type of resonant converter that can be used in a wide range of applications. Series Resonant Frequency is denoted by F_series symbol.

How to calculate LLC Series Frequency of Resonant Converter using this online calculator? To use this online calculator for LLC Series Frequency of Resonant Converter, enter Inductance (L), Parallel Resonant Inductance (L_r(||)) & Resonant Capacitor (C_r) and hit the calculate button. Here is how the LLC Series Frequency of Resonant Converter calculation can be explained with given input values -> 0.009202 = 1/((2*pi)*sqrt((9.56+14.66)*12.35)).

FAQ

What is LLC Series Frequency of Resonant Converter?

LLC Series Frequency of Resonant Converter is the frequency at which the resonant tank in the converter oscillates. The LLC series frequency is an important parameter in the design and operation of LLC resonant converters, as it affects the efficiency, power handling capability, and EMI performance of the converter. LLC resonant converters are a versatile and efficient type of resonant converter that can be used in a wide range of applications and is represented as F_series = 1/((2*pi)*sqrt((L+L_r(||))*C_r)) or Series Resonant Frequency = 1/((2*pi)*sqrt((Inductance+Parallel Resonant Inductance)*Resonant Capacitor)). Inductance of a resonant converter is a key component that determines the resonant frequency and power transfer capability of the converter, Parallel Resonant Inductance in a parallel resonant circuit is responsible for storing energy and releasing it at the resonant frequency & Resonant Capacitor is a capacitor that is used in a resonant circuit to create a resonant frequency.

How to calculate LLC Series Frequency of Resonant Converter?

LLC Series Frequency of Resonant Converter is the frequency at which the resonant tank in the converter oscillates. The LLC series frequency is an important parameter in the design and operation of LLC resonant converters, as it affects the efficiency, power handling capability, and EMI performance of the converter. LLC resonant converters are a versatile and efficient type of resonant converter that can be used in a wide range of applications is calculated using Series Resonant Frequency = 1/((2*pi)*sqrt((Inductance+Parallel Resonant Inductance)*Resonant Capacitor)). To calculate LLC Series Frequency of Resonant Converter, you need Inductance (L), Parallel Resonant Inductance (L_r(||)) & Resonant Capacitor (C_r). With our tool, you need to enter the respective value for Inductance, Parallel Resonant Inductance & Resonant Capacitor 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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