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LLC Parallel Frequency of Resonant Converter Formula

GoLCC 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 C r}}

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

LLC Parallel Frequency of Resonant Converter Example

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

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

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

0.0146 = \frac{1}{2 \cdot 3.1416 \cdot \sqrt{9.56 \cdot 12.35}}

0.0146Hz = \frac{1}{2 \cdot 3.1416 \cdot \sqrt{9.56H \cdot 12.35F}}

0.0146 = \frac{1}{2 \cdot 3.1416 \cdot \sqrt{9.56 \cdot 12.35}}

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LLC Parallel Frequency of Resonant Converter Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Substitute values of Constants

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

F r(||) = 0.01464730438493Hz

LAST Step Rounding Answer

∴

F r(||) = 0.0146Hz

LLC 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

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 LCC Parallel Frequency of Resonant Converter

F r(||) = \frac{1}{2 \cdot π \cdot \sqrt{L \cdot (\frac{C r \cdot C r(||)}{C r + 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 LLC Parallel Frequency of Resonant Converter?

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

How to evaluate LLC Parallel Frequency of Resonant Converter using this online evaluator? To use this online evaluator for LLC Parallel Frequency of Resonant Converter, enter Inductance (L) & Resonant Capacitor (C_r) and hit the calculate button.

FAQs on LLC Parallel Frequency of Resonant Converter

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

The formula of LLC Parallel Frequency of Resonant Converter is expressed as Parallel Resonant Frequency = 1/(2*pi*sqrt(Inductance*Resonant Capacitor)). Here is an example- 0.014647 = 1/(2*pi*sqrt(9.56*12.35)).

How to calculate LLC Parallel Frequency of Resonant Converter?

With Inductance (L) & Resonant Capacitor (C_r) we can find LLC Parallel Frequency of Resonant Converter using the formula - Parallel Resonant Frequency = 1/(2*pi*sqrt(Inductance*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*Parallel Resonant Capacitor)/(Resonant Capacitor+Parallel Resonant Capacitor))))

Can the LLC Parallel Frequency of Resonant Converter be negative?

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

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

LLC 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 LLC Parallel Frequency of Resonant Converter can be measured.

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LLC Parallel Frequency of Resonant Converter Formula

​GoLCC Parallel Frequency of Resonant Converter Formula

LLC Parallel Frequency of Resonant Converter Example

LLC Parallel Frequency of Resonant Converter Solution

LLC Parallel Frequency of Resonant Converter Formula Elements

Other Formulas to find Parallel Resonant Frequency

Other formulas in Resonant Converters category

How to Evaluate LLC Parallel Frequency of Resonant Converter?

FAQs on LLC Parallel Frequency of Resonant Converter

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GoLCC Parallel Frequency of Resonant Converter Formula