LCC Parallel 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%
✖Resonant Capacitor is a capacitor that is used in a resonant circuit to create a resonant frequency.ⓘ Resonant Capacitor [C_r]			+10% -10%
✖Parallel Resonant Capacitor in a parallel resonant circuit is responsible for storing energy and releasing it at the resonant frequency.ⓘ Parallel Resonant Capacitor [C_r(\|\|)]			+10% -10%

✖Parallel Resonant Frequency of a resonant converter is the frequency at which the parallel resonant circuit in the converter resonates.ⓘ LCC Parallel Frequency of Resonant Converter [F_r(||)]

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Formula

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LCC Parallel Frequency of Resonant Converter

Formula

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

Example

`"0.018664Hz"=1/(2*pi*sqrt("9.56H"*(("12.35F"*"19.8F")/("12.35F"+"19.8F"))))`

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LCC Parallel Frequency of Resonant Converter Solution

STEP 0: Pre-Calculation Summary

Formula Used

Parallel Resonant Frequency = 1/(2*pi*sqrt(Inductance*((Resonant Capacitor*Parallel Resonant Capacitor)/(Resonant Capacitor+Parallel Resonant Capacitor))))
F_r(||) = 1/(2*pi*sqrt(L*((C_r*C_r(||))/(C_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

Parallel Resonant Frequency - (Measured in Hertz) - Parallel Resonant Frequency of a resonant converter is the frequency at which the parallel 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.
Resonant Capacitor - (Measured in Farad) - Resonant Capacitor is a capacitor that is used in a resonant circuit to create a resonant frequency.
Parallel Resonant Capacitor - (Measured in Farad) - Parallel Resonant Capacitor in a parallel resonant circuit is responsible for storing energy and releasing it at the resonant frequency.

STEP 1: Convert Input(s) to Base Unit

Inductance: 9.56 Henry --> 9.56 Henry No Conversion Required
Resonant Capacitor: 12.35 Farad --> 12.35 Farad No Conversion Required
Parallel Resonant Capacitor: 19.8 Farad --> 19.8 Farad No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

F_r(||) = 1/(2*pi*sqrt(L*((C_r*C_r(||))/(C_r+C_r(||))))) --> 1/(2*pi*sqrt(9.56*((12.35*19.8)/(12.35+19.8))))

Evaluating ... ...

F_r(||) = 0.0186644673389091

STEP 3: Convert Result to Output's Unit

0.0186644673389091 Hertz --> No Conversion Required

FINAL ANSWER

0.0186644673389091 ≈ 0.018664 Hertz <-- Parallel Resonant Frequency

(Calculation completed in 00.004 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!

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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

LCC Parallel Frequency of Resonant Converter Formula

What is LCC Parallel Frequency of Resonant Converter ?

A resonant LCC (inductor-capacitor-capacitor) parallel resonant converter is a power electronics circuit used to efficiently convert one voltage level to another. In this type of converter, the LCC parallel frequency refers to the resonant frequency at which the inductor (L) and the two capacitors (C) in the converter's resonant tank circuit are configured to operate in parallel resonance. The LCC parallel frequency is a critical design parameter that determines the frequency at which energy is transferred between the input and output sides of the converter. It is typically chosen based on the specific requirements of the application and can be adjusted to optimize the converter's performance.

How to Calculate LCC Parallel Frequency of Resonant Converter?

LCC Parallel Frequency of Resonant Converter calculator uses Parallel Resonant Frequency = 1/(2*pi*sqrt(Inductance*((Resonant Capacitor*Parallel Resonant Capacitor)/(Resonant Capacitor+Parallel Resonant Capacitor)))) to calculate the Parallel Resonant Frequency, LCC Parallel Frequency of Resonant Converter is the frequency at which the resonant tank in the converter oscillates when the LCC resonant converter is operating in parallel mode. The LCC parallel frequency is an important parameter in the design and operation of parallel LCC resonant converters, as it affects the efficiency, power handling capability, and EMI performance of the converter. Parallel LCC resonant converters can handle higher power than single LCC resonant converters. Parallel Resonant Frequency is denoted by F_r(||) symbol.

How to calculate LCC Parallel Frequency of Resonant Converter using this online calculator? To use this online calculator for LCC Parallel Frequency of Resonant Converter, enter Inductance (L), Resonant Capacitor (C_r) & Parallel Resonant Capacitor (C_r(||)) and hit the calculate button. Here is how the LCC Parallel Frequency of Resonant Converter calculation can be explained with given input values -> 0.018664 = 1/(2*pi*sqrt(9.56*((12.35*19.8)/(12.35+19.8)))).

FAQ

What is LCC Parallel Frequency of Resonant Converter?

LCC Parallel Frequency of Resonant Converter is the frequency at which the resonant tank in the converter oscillates when the LCC resonant converter is operating in parallel mode. The LCC parallel frequency is an important parameter in the design and operation of parallel LCC resonant converters, as it affects the efficiency, power handling capability, and EMI performance of the converter. Parallel LCC resonant converters can handle higher power than single LCC resonant converters and is represented as F_r(||) = 1/(2*pi*sqrt(L*((C_r*C_r(||))/(C_r+C_r(||))))) or Parallel Resonant Frequency = 1/(2*pi*sqrt(Inductance*((Resonant Capacitor*Parallel Resonant Capacitor)/(Resonant Capacitor+Parallel Resonant Capacitor)))). Inductance of a resonant converter is a key component that determines the resonant frequency and power transfer capability of the converter, Resonant Capacitor is a capacitor that is used in a resonant circuit to create a resonant frequency & Parallel Resonant Capacitor in a parallel resonant circuit is responsible for storing energy and releasing it at the resonant frequency.

How to calculate LCC Parallel Frequency of Resonant Converter?

LCC Parallel Frequency of Resonant Converter is the frequency at which the resonant tank in the converter oscillates when the LCC resonant converter is operating in parallel mode. The LCC parallel frequency is an important parameter in the design and operation of parallel LCC resonant converters, as it affects the efficiency, power handling capability, and EMI performance of the converter. Parallel LCC resonant converters can handle higher power than single LCC resonant converters is calculated using Parallel Resonant Frequency = 1/(2*pi*sqrt(Inductance*((Resonant Capacitor*Parallel Resonant Capacitor)/(Resonant Capacitor+Parallel Resonant Capacitor)))). To calculate LCC Parallel Frequency of Resonant Converter, you need Inductance (L), Resonant Capacitor (C_r) & Parallel Resonant Capacitor (C_r(||)). With our tool, you need to enter the respective value for Inductance, Resonant Capacitor & Parallel Resonant Capacitor and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Parallel Resonant Frequency?

In this formula, Parallel Resonant Frequency uses Inductance, Resonant Capacitor & Parallel Resonant Capacitor. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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