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LCC Parallel Frequency of Resonant Converter Formula

GoLLC Parallel Frequency of Resonant Converter Formula

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Parallel Resonant Frequency of a resonant converter is the frequency at which the parallel resonant circuit in the converter resonates. Check FAQs

F r(||) = \frac{1}{2 \cdot π \cdot \sqrt{L \cdot (\frac{C r \cdot C r(||)}{C r + C r(||)})}}

F_r(||) - Parallel Resonant Frequency?L - Inductance?C_r - Resonant Capacitor?C_r(||) - Parallel Resonant Capacitor?π - Archimedes' constant?

LCC Parallel Frequency of Resonant Converter Example

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Here is how the LCC Parallel Frequency of Resonant Converter equation looks like with Values.

Here is how the LCC Parallel Frequency of Resonant Converter equation looks like with Units.

Here is how the LCC Parallel Frequency of Resonant Converter equation looks like.

0.0187 = \frac{1}{2 \cdot 3.1416 \cdot \sqrt{9.56 \cdot (\frac{12.35 \cdot 19.8}{12.35 + 19.8})}}

0.0187Hz = \frac{1}{2 \cdot 3.1416 \cdot \sqrt{9.56H \cdot (\frac{12.35F \cdot 19.8F}{12.35F + 19.8F})}}

0.0187 = \frac{1}{2 \cdot 3.1416 \cdot \sqrt{9.56 \cdot (\frac{12.35 \cdot 19.8}{12.35 + 19.8})}}

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LCC Parallel Frequency of Resonant Converter Solution

Follow our step by step solution on how to calculate LCC Parallel Frequency of Resonant Converter?

FIRST Step Consider the formula

F r(||) = \frac{1}{2 \cdot π \cdot \sqrt{L \cdot (\frac{C r \cdot C r(||)}{C r + C r(||)})}}

Next Step Substitute values of Variables

∴

F r(||) = \frac{1}{2 \cdot π \cdot \sqrt{9.56H \cdot (\frac{12.35F \cdot 19.8F}{12.35F + 19.8F})}}

Next Step Substitute values of Constants

∴

F r(||) = \frac{1}{2 \cdot 3.1416 \cdot \sqrt{9.56H \cdot (\frac{12.35F \cdot 19.8F}{12.35F + 19.8F})}}

Next Step Prepare to Evaluate

∴

F r(||) = \frac{1}{2 \cdot 3.1416 \cdot \sqrt{9.56 \cdot (\frac{12.35 \cdot 19.8}{12.35 + 19.8})}}

Next Step Evaluate

∴

F r(||) = 0.0186644673389091Hz

LAST Step Rounding Answer

∴

F r(||) = 0.0187Hz

LCC Parallel Frequency of Resonant Converter Formula Elements

Variables

Constants

Functions

Parallel Resonant Frequency

Parallel Resonant Frequency of a resonant converter is the frequency at which the parallel resonant circuit in the converter resonates.

Symbol: F_r(||)

Measurement: FrequencyUnit: Hz

Note: Value should be greater than 0.

Formulas to find Parallel Resonant Frequency

Inductance

Inductance of a resonant converter is a key component that determines the resonant frequency and power transfer capability of the converter.

Symbol: L

Measurement: InductanceUnit: H

Note: Value should be greater than 0.

Formulas to find Inductance

Resonant Capacitor

Resonant Capacitor is a capacitor that is used in a resonant circuit to create a resonant frequency.

Symbol: C_r

Measurement: CapacitanceUnit: F

Note: Value should be greater than 0.

Formulas to find Resonant Capacitor

Parallel Resonant Capacitor

Parallel Resonant Capacitor in a parallel resonant circuit is responsible for storing energy and releasing it at the resonant frequency.

Symbol: C_r(||)

Measurement: CapacitanceUnit: F

Note: Value should be greater than 0.

Formulas to find Parallel Resonant Capacitor

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

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.

Syntax: sqrt(Number)

Other Formulas to find Parallel Resonant Frequency

Go LLC Parallel Frequency of Resonant Converter

F r(||) = \frac{1}{2 \cdot π \cdot \sqrt{L \cdot C r}}

Other formulas in Resonant Converters category

Go Diode Current of Resonant Converter

I d = I load - \frac{V s}{L} \cdot t

Go Inductor Current of Resonant Converter

I L = I load - I max \cdot \sin (ω) \cdot t

Go Capacitor Voltage of Resonant Converter

V c = V s \cdot (1 - \cos (ω \cdot t))

Go Peak Voltage of Resonant Converter

V max = V s + I load \cdot Z load

How to Evaluate LCC Parallel Frequency of Resonant Converter?

LCC Parallel Frequency of Resonant Converter evaluator uses Parallel Resonant Frequency = 1/(2*pi*sqrt(Inductance*((Resonant Capacitor*Parallel Resonant Capacitor)/(Resonant Capacitor+Parallel Resonant Capacitor)))) to evaluate 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 evaluate LCC Parallel Frequency of Resonant Converter using this online evaluator? To use this online evaluator for LCC Parallel Frequency of Resonant Converter, enter Inductance (L), Resonant Capacitor (C_r) & Parallel Resonant Capacitor (C_r(||)) and hit the calculate button.

FAQs on LCC Parallel Frequency of Resonant Converter

What is the formula to find LCC Parallel Frequency of Resonant Converter?

The formula of LCC Parallel Frequency of Resonant Converter is expressed as Parallel Resonant Frequency = 1/(2*pi*sqrt(Inductance*((Resonant Capacitor*Parallel Resonant Capacitor)/(Resonant Capacitor+Parallel Resonant Capacitor)))). Here is an example- 0.018664 = 1/(2*pi*sqrt(9.56*((12.35*19.8)/(12.35+19.8)))).

How to calculate LCC Parallel Frequency of Resonant Converter?

With Inductance (L), Resonant Capacitor (C_r) & Parallel Resonant Capacitor (C_r(||)) we can find LCC Parallel Frequency of Resonant Converter using the formula - Parallel Resonant Frequency = 1/(2*pi*sqrt(Inductance*((Resonant Capacitor*Parallel Resonant Capacitor)/(Resonant Capacitor+Parallel Resonant Capacitor)))). This formula also uses Archimedes' constant and Square Root (sqrt) function(s).

What are the other ways to Calculate Parallel Resonant Frequency?

Here are the different ways to Calculate Parallel Resonant Frequency-

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

Can the LCC Parallel Frequency of Resonant Converter be negative?

No, the LCC Parallel Frequency of Resonant Converter, measured in Frequency cannot be negative.

Which unit is used to measure LCC Parallel Frequency of Resonant Converter?

LCC Parallel Frequency of Resonant Converter is usually measured using the Hertz[Hz] for Frequency. Petahertz[Hz], Terahertz[Hz], Gigahertz[Hz] are the few other units in which LCC Parallel Frequency of Resonant Converter can be measured.

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LCC Parallel Frequency of Resonant Converter Formula

​GoLLC Parallel Frequency of Resonant Converter Formula

LCC Parallel Frequency of Resonant Converter Example

LCC Parallel Frequency of Resonant Converter Solution

LCC Parallel Frequency of Resonant Converter Formula Elements

Other Formulas to find Parallel Resonant Frequency

Other formulas in Resonant Converters category

How to Evaluate LCC Parallel Frequency of Resonant Converter?

FAQs on LCC Parallel Frequency of Resonant Converter

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GoLLC Parallel Frequency of Resonant Converter Formula