Resonant Tank Current of Resonant Converter Calculator

✖Output Current resonant current in the context of resonant converters refers to the current that flows through the output resonant circuit of the converter.ⓘ Output Current [I_out]			+10% -10%
✖Turn Ratio of a resonant converter is the ratio of the number of turns on the primary winding of the transformer to the number of turns on the secondary winding.ⓘ Turn Ratio [n]			+10% -10%
✖Switching Frequency resonant converter is a type of resonant converter that operates at the resonant frequency of the switch network.ⓘ Switching Frequency [F_sw]			+10% -10%
✖Time Period of a resonant converter is the time it takes for the resonant circuit to complete one full oscillation.ⓘ Time Period [t]			+10% -10%

✖Resonant Tank Current is typically composed of an inductor and a capacitor, and it is used to filter the high-frequency switching noise from the output voltage and to provide a high-impedance.ⓘ Resonant Tank Current of Resonant Converter [I_r]

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Formula

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Resonant Tank Current of Resonant Converter

Formula

`"I"_{"r"} = pi/2*"I"_{"out"}/"n"*sin(2*pi*"F"_{"sw"}*"t")`

Example

`"1.0941A"=pi/2*"14.22A"/"12"*sin(2*pi*"14.20Hz"*"2s")`

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Resonant Tank Current of Resonant Converter Solution

STEP 0: Pre-Calculation Summary

Formula Used

Resonant Tank Current = pi/2*Output Current/Turn Ratio*sin(2*pi*Switching Frequency*Time Period)
I_r = pi/2*I_out/n*sin(2*pi*F_sw*t)
This formula uses 1 Constants, 1 Functions, 5 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

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., sin(Angle)

Variables Used

Resonant Tank Current - (Measured in Ampere) - Resonant Tank Current is typically composed of an inductor and a capacitor, and it is used to filter the high-frequency switching noise from the output voltage and to provide a high-impedance.
Output Current - (Measured in Ampere) - Output Current resonant current in the context of resonant converters refers to the current that flows through the output resonant circuit of the converter.
Turn Ratio - Turn Ratio of a resonant converter is the ratio of the number of turns on the primary winding of the transformer to the number of turns on the secondary winding.
Switching Frequency - (Measured in Hertz) - Switching Frequency resonant converter is a type of resonant converter that operates at the resonant frequency of the switch network.
Time Period - (Measured in Second) - Time Period of a resonant converter is the time it takes for the resonant circuit to complete one full oscillation.

STEP 1: Convert Input(s) to Base Unit

Output Current: 14.22 Ampere --> 14.22 Ampere No Conversion Required
Turn Ratio: 12 --> No Conversion Required
Switching Frequency: 14.2 Hertz --> 14.2 Hertz No Conversion Required
Time Period: 2 Second --> 2 Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

I_r = pi/2*I_out/n*sin(2*pi*F_sw*t) --> pi/2*14.22/12*sin(2*pi*14.2*2)

Evaluating ... ...

I_r = 1.09409973456563

STEP 3: Convert Result to Output's Unit

1.09409973456563 Ampere --> No Conversion Required

FINAL ANSWER

1.09409973456563 ≈ 1.0941 Ampere <-- Resonant Tank Current

(Calculation completed in 00.004 seconds)

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Created by Mohamed Fazil V

Acharya institute of technology (AIT), Bengaluru

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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

Resonant Tank Current of Resonant Converter Formula

Resonant Tank Current = pi/2*Output Current/Turn Ratio*sin(2*pi*Switching Frequency*Time Period)
I_r = pi/2*I_out/n*sin(2*pi*F_sw*t)

What is Resonant Tank Current of Resonant Converter ?

In a resonant converter, the resonant tank current refers to the current that flows through the resonant tank circuit. The resonant tank circuit is a crucial component of a resonant converter and typically consists of a combination of inductors (L) and capacitors (C) connected in such a way that they resonate at a specific frequency. The resonant tank current is an AC current that circulates within the tank circuit due to the resonant operation of the converter. This current exhibits sinusoidal or near-sinusoidal waveforms at the resonant frequency of the circuit. The tank circuit's resonant frequency is designed to match the desired operating frequency of the converter.

How to Calculate Resonant Tank Current of Resonant Converter?

Resonant Tank Current of Resonant Converter calculator uses Resonant Tank Current = pi/2*Output Current/Turn Ratio*sin(2*pi*Switching Frequency*Time Period) to calculate the Resonant Tank Current, Resonant Tank Current of Resonant Converter is the current that flows through the resonant tank circuit of the converter. The resonant tank circuit is typically composed of an inductor and a capacitor, and it is used to filter the high-frequency switching noise from the output voltage and to provide a high-impedance path for the harmonics of the switching frequency. The resonant tank current is typically sinusoidal in shape, and its frequency is equal to the resonant frequency of the tank circuit. The amplitude of the resonant tank current is determined by the input voltage, the output voltage, the duty cycle, the output impedance, and the load current. The parasitic resistances and inductances in the resonant tank circuit also affect the resonant tank current, but to a lesser extent. Resonant Tank Current is denoted by I_r symbol.

How to calculate Resonant Tank Current of Resonant Converter using this online calculator? To use this online calculator for Resonant Tank Current of Resonant Converter, enter Output Current (I_out), Turn Ratio (n), Switching Frequency (F_sw) & Time Period (t) and hit the calculate button. Here is how the Resonant Tank Current of Resonant Converter calculation can be explained with given input values -> 1.0941 = pi/2*14.22/12*sin(2*pi*14.2*2).

FAQ

What is Resonant Tank Current of Resonant Converter?

Resonant Tank Current of Resonant Converter is the current that flows through the resonant tank circuit of the converter. The resonant tank circuit is typically composed of an inductor and a capacitor, and it is used to filter the high-frequency switching noise from the output voltage and to provide a high-impedance path for the harmonics of the switching frequency. The resonant tank current is typically sinusoidal in shape, and its frequency is equal to the resonant frequency of the tank circuit. The amplitude of the resonant tank current is determined by the input voltage, the output voltage, the duty cycle, the output impedance, and the load current. The parasitic resistances and inductances in the resonant tank circuit also affect the resonant tank current, but to a lesser extent and is represented as I_r = pi/2*I_out/n*sin(2*pi*F_sw*t) or Resonant Tank Current = pi/2*Output Current/Turn Ratio*sin(2*pi*Switching Frequency*Time Period). Output Current resonant current in the context of resonant converters refers to the current that flows through the output resonant circuit of the converter, Turn Ratio of a resonant converter is the ratio of the number of turns on the primary winding of the transformer to the number of turns on the secondary winding, Switching Frequency resonant converter is a type of resonant converter that operates at the resonant frequency of the switch network & Time Period of a resonant converter is the time it takes for the resonant circuit to complete one full oscillation.

How to calculate Resonant Tank Current of Resonant Converter?

Resonant Tank Current of Resonant Converter is the current that flows through the resonant tank circuit of the converter. The resonant tank circuit is typically composed of an inductor and a capacitor, and it is used to filter the high-frequency switching noise from the output voltage and to provide a high-impedance path for the harmonics of the switching frequency. The resonant tank current is typically sinusoidal in shape, and its frequency is equal to the resonant frequency of the tank circuit. The amplitude of the resonant tank current is determined by the input voltage, the output voltage, the duty cycle, the output impedance, and the load current. The parasitic resistances and inductances in the resonant tank circuit also affect the resonant tank current, but to a lesser extent is calculated using Resonant Tank Current = pi/2*Output Current/Turn Ratio*sin(2*pi*Switching Frequency*Time Period). To calculate Resonant Tank Current of Resonant Converter, you need Output Current (I_out), Turn Ratio (n), Switching Frequency (F_sw) & Time Period (t). With our tool, you need to enter the respective value for Output Current, Turn Ratio, Switching Frequency & Time Period and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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