FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

LLC Series Frequency of Resonant Converter Formula

Fx Copy

LaTeX Copy

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

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

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

LLC Series Frequency of Resonant Converter Example

With values

With units

Only example

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

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

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

0.0092 = \frac{1}{(2 \cdot 3.1416) \cdot \sqrt{(9.56 + 14.66) \cdot 12.35}}

0.0092Hz = \frac{1}{(2 \cdot 3.1416) \cdot \sqrt{(9.56H + 14.66Ω) \cdot 12.35F}}

0.0092 = \frac{1}{(2 \cdot 3.1416) \cdot \sqrt{(9.56 + 14.66) \cdot 12.35}}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Engineering » Category

Electrical » Category

Power Electronics » fx LLC Series Frequency of Resonant Converter

LLC Series Frequency of Resonant Converter Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

F series = \frac{1}{(2 \cdot π) \cdot \sqrt{(9.56H + 14.66Ω) \cdot 12.35F}}

Next Step Substitute values of Constants

∴

F series = \frac{1}{(2 \cdot 3.1416) \cdot \sqrt{(9.56H + 14.66Ω) \cdot 12.35F}}

Next Step Prepare to Evaluate

∴

F series = \frac{1}{(2 \cdot 3.1416) \cdot \sqrt{(9.56 + 14.66) \cdot 12.35}}

Next Step Evaluate

∴

F series = 0.009202367721476Hz

LAST Step Rounding Answer

∴

F series = 0.0092Hz

LLC Series Frequency of Resonant Converter Formula Elements

Variables

Constants

Functions

Series Resonant Frequency

Series Resonant Frequency of a resonant converter is the frequency at which the series resonant circuit in the converter resonates.

Symbol: F_series

Measurement: FrequencyUnit: Hz

Note: Value should be greater than 0.

Formulas to find Series 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

Parallel Resonant Inductance

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

Symbol: L_r(||)

Measurement: Electric ResistanceUnit: Ω

Note: Value should be greater than 0.

Formulas to find Parallel Resonant 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 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 Series Frequency of Resonant Converter?

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

FAQs on LLC Series Frequency of Resonant Converter

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

The formula of LLC Series Frequency of Resonant Converter is expressed as Series Resonant Frequency = 1/((2*pi)*sqrt((Inductance+Parallel Resonant Inductance)*Resonant Capacitor)). Here is an example- 0.009202 = 1/((2*pi)*sqrt((9.56+14.66)*12.35)).

How to calculate LLC Series Frequency of Resonant Converter?

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

Can the LLC Series Frequency of Resonant Converter be negative?

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

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

LLC Series 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 Series Frequency of Resonant Converter can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

LLC Series Frequency of Resonant Converter Formula

LLC Series Frequency of Resonant Converter Example

LLC Series Frequency of Resonant Converter Solution

LLC Series Frequency of Resonant Converter Formula Elements

Other formulas in Resonant Converters category

How to Evaluate LLC Series Frequency of Resonant Converter?

FAQs on LLC Series Frequency of Resonant Converter

Variable Name