Equivalent Resistor of Resonant Converter Calculator

✖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%
✖Output Resistance of a resonant converter is a resistor that is placed in series with the output of the converter.ⓘ Output Resistance [R_out]			+10% -10%

✖Equivalent Resistance of a resonant converter is a lumped-parameter model that is used to represent the losses in the resonant circuit.ⓘ Equivalent Resistor of Resonant Converter [R_e]

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Formula

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Equivalent Resistor of Resonant Converter

Formula

`"R"_{"e"} = (8*"n"^2)/pi^2*"R"_{"out"}`

Example

`"2392.801Ω"=(8*("12")^2)/pi^2*"20.5Ω"`

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Equivalent Resistor of Resonant Converter Solution

STEP 0: Pre-Calculation Summary

Formula Used

Equivalent Resistance = (8*Turn Ratio^2)/pi^2*Output Resistance
R_e = (8*n^2)/pi^2*R_out
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Equivalent Resistance - (Measured in Ohm) - Equivalent Resistance of a resonant converter is a lumped-parameter model that is used to represent the losses in the resonant circuit.
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.
Output Resistance - (Measured in Ohm) - Output Resistance of a resonant converter is a resistor that is placed in series with the output of the converter.

STEP 1: Convert Input(s) to Base Unit

Turn Ratio: 12 --> No Conversion Required
Output Resistance: 20.5 Ohm --> 20.5 Ohm No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_e = (8*n^2)/pi^2*R_out --> (8*12^2)/pi^2*20.5

Evaluating ... ...

R_e = 2392.80107289745

STEP 3: Convert Result to Output's Unit

2392.80107289745 Ohm --> No Conversion Required

FINAL ANSWER

2392.80107289745 ≈ 2392.801 Ohm <-- Equivalent Resistance

(Calculation completed in 00.020 seconds)

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Created by Mohamed Fazil V

Acharya institute of technology (AIT), Bengaluru

Mohamed Fazil V has created this Calculator and 50+ more calculators!

Verified by Aman Dhussawat

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

Equivalent Resistor of Resonant Converter Formula

Equivalent Resistance = (8*Turn Ratio^2)/pi^2*Output Resistance
R_e = (8*n^2)/pi^2*R_out

What is Equivalent Resistor of Resonant Converter ?

Resonant converters are designed to operate with minimal switching losses, which is one of the key advantages of resonant topologies. Instead of abrupt switching transitions, these converters use resonant tank circuits to achieve soft switching, which reduces power dissipation and improves overall efficiency.

How to Calculate Equivalent Resistor of Resonant Converter?

Equivalent Resistor of Resonant Converter calculator uses Equivalent Resistance = (8*Turn Ratio^2)/pi^2*Output Resistance to calculate the Equivalent Resistance, Equivalent Resistor of Resonant Converter is a lumped-parameter model that is used to represent the losses in the resonant circuit. It is typically represented by a single resistor that is placed in parallel with the resonant tank circuit. Equivalent resistor represents the losses in the resonant circuit, while output resistor is used to regulate the output voltage and protect the converter from overload conditions. Equivalent resistor reduces the efficiency of the converter, while output resistor can improve the performance and reliability of the converter. Equivalent Resistance is denoted by R_e symbol.

How to calculate Equivalent Resistor of Resonant Converter using this online calculator? To use this online calculator for Equivalent Resistor of Resonant Converter, enter Turn Ratio (n) & Output Resistance (R_out) and hit the calculate button. Here is how the Equivalent Resistor of Resonant Converter calculation can be explained with given input values -> 2392.801 = (8*12^2)/pi^2*20.5.

FAQ

What is Equivalent Resistor of Resonant Converter?

Equivalent Resistor of Resonant Converter is a lumped-parameter model that is used to represent the losses in the resonant circuit. It is typically represented by a single resistor that is placed in parallel with the resonant tank circuit. Equivalent resistor represents the losses in the resonant circuit, while output resistor is used to regulate the output voltage and protect the converter from overload conditions. Equivalent resistor reduces the efficiency of the converter, while output resistor can improve the performance and reliability of the converter and is represented as R_e = (8*n^2)/pi^2*R_out or Equivalent Resistance = (8*Turn Ratio^2)/pi^2*Output Resistance. 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 & Output Resistance of a resonant converter is a resistor that is placed in series with the output of the converter.

How to calculate Equivalent Resistor of Resonant Converter?

Equivalent Resistor of Resonant Converter is a lumped-parameter model that is used to represent the losses in the resonant circuit. It is typically represented by a single resistor that is placed in parallel with the resonant tank circuit. Equivalent resistor represents the losses in the resonant circuit, while output resistor is used to regulate the output voltage and protect the converter from overload conditions. Equivalent resistor reduces the efficiency of the converter, while output resistor can improve the performance and reliability of the converter is calculated using Equivalent Resistance = (8*Turn Ratio^2)/pi^2*Output Resistance. To calculate Equivalent Resistor of Resonant Converter, you need Turn Ratio (n) & Output Resistance (R_out). With our tool, you need to enter the respective value for Turn Ratio & Output Resistance 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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