FormulaDen.com

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

First Order Harmonic Switch Network Output Voltage of Resonant Converter Formula

Fx Copy

LaTeX Copy

The resonant voltage of a resonant converter is the voltage that appears across the resonant tank circuit at the resonant frequency. Check FAQs

V r = \frac{4 \cdot (\frac{V in}{2})}{π} \cdot \sin (ω \cdot t)

V_r - Resonant Voltage?V_in - Input Voltage?ω - Angular Frequency?t - Time Period?π - Archimedes' constant?

First Order Harmonic Switch Network Output Voltage of Resonant Converter Example

With values

With units

Only example

Here is how the First Order Harmonic Switch Network Output Voltage of Resonant Converter equation looks like with Values.

Here is how the First Order Harmonic Switch Network Output Voltage of Resonant Converter equation looks like with Units.

Here is how the First Order Harmonic Switch Network Output Voltage of Resonant Converter equation looks like.

3.6315 = \frac{4 \cdot (\frac{5.96}{2})}{3.1416} \cdot \sin (3.78 \cdot 2)

3.6315V = \frac{4 \cdot (\frac{5.96V}{2})}{3.1416} \cdot \sin (3.78rad/s \cdot 2s)

3.6315 = \frac{4 \cdot (\frac{5.96}{2})}{3.1416} \cdot \sin (3.78 \cdot 2)

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 First Order Harmonic Switch Network Output Voltage of Resonant Converter

First Order Harmonic Switch Network Output Voltage of Resonant Converter Solution

Follow our step by step solution on how to calculate First Order Harmonic Switch Network Output Voltage of Resonant Converter?

FIRST Step Consider the formula

V r = \frac{4 \cdot (\frac{V in}{2})}{π} \cdot \sin (ω \cdot t)

Next Step Substitute values of Variables

∴

V r = \frac{4 \cdot (\frac{5.96V}{2})}{π} \cdot \sin (3.78rad/s \cdot 2s)

Next Step Substitute values of Constants

∴

V r = \frac{4 \cdot (\frac{5.96V}{2})}{3.1416} \cdot \sin (3.78rad/s \cdot 2s)

Next Step Prepare to Evaluate

∴

V r = \frac{4 \cdot (\frac{5.96}{2})}{3.1416} \cdot \sin (3.78 \cdot 2)

Next Step Evaluate

∴

V r = 3.6314717242387V

LAST Step Rounding Answer

∴

V r = 3.6315V

First Order Harmonic Switch Network Output Voltage of Resonant Converter Formula Elements

Variables

Constants

Functions

Resonant Voltage

The resonant voltage of a resonant converter is the voltage that appears across the resonant tank circuit at the resonant frequency.

Symbol: V_r

Measurement: Electric PotentialUnit: V

Note: Value should be greater than 0.

Formulas to find Resonant Voltage

Input Voltage

Input Voltage resonant converters are a type of power converter that uses resonance to achieve zero-voltage switching (ZVS) of the input switch.

Symbol: V_in

Measurement: Electric PotentialUnit: V

Note: Value should be greater than 0.

Formulas to find Input Voltage

Angular Frequency

Angular Frequency of a resonant converter is the frequency at which the resonant circuit of the converter oscillates.

Symbol: ω

Measurement: Angular FrequencyUnit: rad/s

Note: Value should be greater than 0.

Formulas to find Angular Frequency

Time Period

Time Period of a resonant converter is the time it takes for the resonant circuit to complete one full oscillation.

Symbol: t

Measurement: TimeUnit: s

Note: Value should be greater than 0.

Formulas to find Time Period

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

sin

Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse.

Syntax: sin(Angle)

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 First Order Harmonic Switch Network Output Voltage of Resonant Converter?

First Order Harmonic Switch Network Output Voltage of Resonant Converter evaluator uses Resonant Voltage = (4*(Input Voltage/2))/pi*sin(Angular Frequency*Time Period) to evaluate the Resonant Voltage, First Order Harmonic Switch Network Output Voltage of Resonant Converter is the fundamental frequency component of the switch network output voltage. The fundamental frequency is the frequency at which the switch network output voltage waveform repeats itself. The first order harmonic switch network output voltage of a resonant converter is typically rectified and filtered to produce a DC output voltage. The DC output voltage of the resonant converter is then regulated to the desired output voltage. The first order harmonic switch network output voltage of resonant converters is a versatile and important parameter that is used in a wide range of applications. Resonant Voltage is denoted by V_r symbol.

How to evaluate First Order Harmonic Switch Network Output Voltage of Resonant Converter using this online evaluator? To use this online evaluator for First Order Harmonic Switch Network Output Voltage of Resonant Converter, enter Input Voltage (V_in), Angular Frequency (ω) & Time Period (t) and hit the calculate button.

FAQs on First Order Harmonic Switch Network Output Voltage of Resonant Converter

What is the formula to find First Order Harmonic Switch Network Output Voltage of Resonant Converter?

The formula of First Order Harmonic Switch Network Output Voltage of Resonant Converter is expressed as Resonant Voltage = (4*(Input Voltage/2))/pi*sin(Angular Frequency*Time Period). Here is an example- 3.631472 = (4*(5.96/2))/pi*sin(3.78*2).

How to calculate First Order Harmonic Switch Network Output Voltage of Resonant Converter?

With Input Voltage (V_in), Angular Frequency (ω) & Time Period (t) we can find First Order Harmonic Switch Network Output Voltage of Resonant Converter using the formula - Resonant Voltage = (4*(Input Voltage/2))/pi*sin(Angular Frequency*Time Period). This formula also uses Archimedes' constant and Sine (sin) function(s).

Can the First Order Harmonic Switch Network Output Voltage of Resonant Converter be negative?

No, the First Order Harmonic Switch Network Output Voltage of Resonant Converter, measured in Electric Potential cannot be negative.

Which unit is used to measure First Order Harmonic Switch Network Output Voltage of Resonant Converter?

First Order Harmonic Switch Network Output Voltage of Resonant Converter is usually measured using the Volt[V] for Electric Potential. Millivolt[V], Microvolt[V], Nanovolt[V] are the few other units in which First Order Harmonic Switch Network Output Voltage of Resonant Converter can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

First Order Harmonic Switch Network Output Voltage of Resonant Converter Formula

First Order Harmonic Switch Network Output Voltage of Resonant Converter Example

First Order Harmonic Switch Network Output Voltage of Resonant Converter Solution

First Order Harmonic Switch Network Output Voltage of Resonant Converter Formula Elements

Other formulas in Resonant Converters category

How to Evaluate First Order Harmonic Switch Network Output Voltage of Resonant Converter?

FAQs on First Order Harmonic Switch Network Output Voltage of Resonant Converter

Variable Name