Resonant Frequency for Unidirectional Switches Calculator

✖Inductance is the tendency of an electric conductor to oppose a change in the electric current flowing through a inverter based circuit.ⓘ Inductance [L]			+10% -10%
✖Capacitance is the ratio of the amount of electric charge stored on a conductor to a difference in electric potential.ⓘ Capacitance [C]			+10% -10%
✖Resistance is a measure of the opposition to current flow in an inverter based circuit. Its S.I unit is ohm.ⓘ Resistance [R]			+10% -10%

✖Resonant frequency is the frequency at which there is exchange of energy stored in an electric field to energy stored in a magnetic field.ⓘ Resonant Frequency for Unidirectional Switches [f_ο]

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Formula

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Resonant Frequency for Unidirectional Switches

Formula

`"f"_{"ο"} = ((1/("L"*"C"))+(("R"^2)/(4*"L"^2)))^0.5`

Example

`"23.86868Hz"=((1/("0.57H"*"0.2F"))+((("27Ω")^2)/(4*("0.57H")^2)))^0.5`

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Resonant Frequency for Unidirectional Switches Solution

STEP 0: Pre-Calculation Summary

Formula Used

Resonant Frequency = ((1/(Inductance*Capacitance))+((Resistance^2)/(4*Inductance^2)))^0.5
f_ο = ((1/(L*C))+((R^2)/(4*L^2)))^0.5
This formula uses 4 Variables

Variables Used

Resonant Frequency - (Measured in Hertz) - Resonant frequency is the frequency at which there is exchange of energy stored in an electric field to energy stored in a magnetic field.
Inductance - (Measured in Henry) - Inductance is the tendency of an electric conductor to oppose a change in the electric current flowing through a inverter based circuit.
Capacitance - (Measured in Farad) - Capacitance is the ratio of the amount of electric charge stored on a conductor to a difference in electric potential.
Resistance - (Measured in Ohm) - Resistance is a measure of the opposition to current flow in an inverter based circuit. Its S.I unit is ohm.

STEP 1: Convert Input(s) to Base Unit

Inductance: 0.57 Henry --> 0.57 Henry No Conversion Required
Capacitance: 0.2 Farad --> 0.2 Farad No Conversion Required
Resistance: 27 Ohm --> 27 Ohm No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

f_ο = ((1/(L*C))+((R^2)/(4*L^2)))^0.5 --> ((1/(0.57*0.2))+((27^2)/(4*0.57^2)))^0.5

Evaluating ... ...

f_ο = 23.8686773424798

STEP 3: Convert Result to Output's Unit

23.8686773424798 Hertz --> No Conversion Required

FINAL ANSWER

23.8686773424798 ≈ 23.86868 Hertz <-- Resonant Frequency

(Calculation completed in 00.004 seconds)

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Created by Devyaani Garg

Shiv Nadar University (SNU), Greater Noida

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Birsa Institute of Technology (BIT), Sindri

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< 4 Series Resonant Inverter Calculators

Time when Current becomes Maximum for Unidirectional Switches

Go Time = (1/Resonant Frequency)*atan((Resonant Frequency*2*Inductance)/(Resistance))

Resonant Frequency for Unidirectional Switches

Go Resonant Frequency = ((1/(Inductance*Capacitance))+((Resistance^2)/(4*Inductance^2)))^0.5

Maximum Output Frequency for Unidirectional Switches

Go Peak Frequency = 1/(2*(Off Time of Thyristor+(pi/Resonant Frequency)))

Maximum Output Frequency for Bidirectional Switches

Go Peak Frequency = 1/(2*Off Time of Thyristor)

Resonant Frequency for Unidirectional Switches Formula

Resonant Frequency = ((1/(Inductance*Capacitance))+((Resistance^2)/(4*Inductance^2)))^0.5
f_ο = ((1/(L*C))+((R^2)/(4*L^2)))^0.5

What is the meaning of unidirectional switch?

For the resonant inverter with unidirectional switches, the power devices have to be turned on in every half cycle of output voltage. This limits the inverter frequency and the amount of energy transfer from the source to the load. In addition the devices are subjected to high peak reverse voltage.

How to Calculate Resonant Frequency for Unidirectional Switches?

Resonant Frequency for Unidirectional Switches calculator uses Resonant Frequency = ((1/(Inductance*Capacitance))+((Resistance^2)/(4*Inductance^2)))^0.5 to calculate the Resonant Frequency, The Resonant frequency for unidirectional switches is the frequency at which the current is maximum. Resonant Frequency is denoted by f_ο symbol.

How to calculate Resonant Frequency for Unidirectional Switches using this online calculator? To use this online calculator for Resonant Frequency for Unidirectional Switches, enter Inductance (L), Capacitance (C) & Resistance (R) and hit the calculate button. Here is how the Resonant Frequency for Unidirectional Switches calculation can be explained with given input values -> 23.86868 = ((1/(0.57*0.2))+((27^2)/(4*0.57^2)))^0.5.

FAQ

What is Resonant Frequency for Unidirectional Switches?

The Resonant frequency for unidirectional switches is the frequency at which the current is maximum and is represented as f_ο = ((1/(L*C))+((R^2)/(4*L^2)))^0.5 or Resonant Frequency = ((1/(Inductance*Capacitance))+((Resistance^2)/(4*Inductance^2)))^0.5. Inductance is the tendency of an electric conductor to oppose a change in the electric current flowing through a inverter based circuit, Capacitance is the ratio of the amount of electric charge stored on a conductor to a difference in electric potential & Resistance is a measure of the opposition to current flow in an inverter based circuit. Its S.I unit is ohm.

How to calculate Resonant Frequency for Unidirectional Switches?

The Resonant frequency for unidirectional switches is the frequency at which the current is maximum is calculated using Resonant Frequency = ((1/(Inductance*Capacitance))+((Resistance^2)/(4*Inductance^2)))^0.5. To calculate Resonant Frequency for Unidirectional Switches, you need Inductance (L), Capacitance (C) & Resistance (R). With our tool, you need to enter the respective value for Inductance, Capacitance & 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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