Maximum Output Frequency for Unidirectional Switches Solution

STEP 0: Pre-Calculation Summary
Formula Used
Peak Frequency = 1/(2*(Off Time of Thyristor+(pi/Resonant Frequency)))
fm = 1/(2*(toff+(pi/fο)))
This formula uses 1 Constants, 3 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Peak Frequency - (Measured in Hertz) - Peak Frequency is the highest frequency of a band-limited continuous-time signal in an inverter based circuit.
Off Time of Thyristor - (Measured in Second) - Off time of thyristor is the duration for which the thyristor is in the off state and it is also called the dead zone.
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.
STEP 1: Convert Input(s) to Base Unit
Off Time of Thyristor: 2 Second --> 2 Second No Conversion Required
Resonant Frequency: 24 Hertz --> 24 Hertz No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
fm = 1/(2*(toff+(pi/fο))) --> 1/(2*(2+(pi/24)))
Evaluating ... ...
fm = 0.234642672966456
STEP 3: Convert Result to Output's Unit
0.234642672966456 Hertz --> No Conversion Required
FINAL ANSWER
0.234642672966456 0.234643 Hertz <-- Peak Frequency
(Calculation completed in 00.020 seconds)

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Shiv Nadar University (SNU), Greater Noida
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Series Resonant Inverter Calculators

Time when Current becomes Maximum for Unidirectional Switches
​ LaTeX ​ Go Time = (1/Resonant Frequency)*atan((Resonant Frequency*2*Inductance)/(Resistance))
Resonant Frequency for Unidirectional Switches
​ LaTeX ​ Go Resonant Frequency = ((1/(Inductance*Capacitance))+((Resistance^2)/(4*Inductance^2)))^0.5
Maximum Output Frequency for Unidirectional Switches
​ LaTeX ​ Go Peak Frequency = 1/(2*(Off Time of Thyristor+(pi/Resonant Frequency)))
Maximum Output Frequency for Bidirectional Switches
​ LaTeX ​ Go Peak Frequency = 1/(2*Off Time of Thyristor)

Maximum Output Frequency for Unidirectional Switches Formula

​LaTeX ​Go
Peak Frequency = 1/(2*(Off Time of Thyristor+(pi/Resonant Frequency)))
fm = 1/(2*(toff+(pi/fο)))

What is the meaning of a unidirectional switch?

For the resonant inverter with unidirectional switches, the power devices have to be turned on in every half cycle of the 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 Maximum Output Frequency for Unidirectional Switches?

Maximum Output Frequency for Unidirectional Switches calculator uses Peak Frequency = 1/(2*(Off Time of Thyristor+(pi/Resonant Frequency))) to calculate the Peak Frequency, The Maximum output frequency for unidirectional switches is the maximum possible output frequency for the series resonant inverter with unidirectional switches taking into consideration the details of all the equipment used. Peak Frequency is denoted by fm symbol.

How to calculate Maximum Output Frequency for Unidirectional Switches using this online calculator? To use this online calculator for Maximum Output Frequency for Unidirectional Switches, enter Off Time of Thyristor (toff) & Resonant Frequency (fο) and hit the calculate button. Here is how the Maximum Output Frequency for Unidirectional Switches calculation can be explained with given input values -> 0.234643 = 1/(2*(2+(pi/24))).

FAQ

What is Maximum Output Frequency for Unidirectional Switches?
The Maximum output frequency for unidirectional switches is the maximum possible output frequency for the series resonant inverter with unidirectional switches taking into consideration the details of all the equipment used and is represented as fm = 1/(2*(toff+(pi/fο))) or Peak Frequency = 1/(2*(Off Time of Thyristor+(pi/Resonant Frequency))). Off time of thyristor is the duration for which the thyristor is in the off state and it is also called the dead zone & Resonant frequency is the frequency at which there is exchange of energy stored in an electric field to energy stored in a magnetic field.
How to calculate Maximum Output Frequency for Unidirectional Switches?
The Maximum output frequency for unidirectional switches is the maximum possible output frequency for the series resonant inverter with unidirectional switches taking into consideration the details of all the equipment used is calculated using Peak Frequency = 1/(2*(Off Time of Thyristor+(pi/Resonant Frequency))). To calculate Maximum Output Frequency for Unidirectional Switches, you need Off Time of Thyristor (toff) & Resonant Frequency (fο). With our tool, you need to enter the respective value for Off Time of Thyristor & Resonant Frequency and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Peak Frequency?
In this formula, Peak Frequency uses Off Time of Thyristor & Resonant Frequency. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Peak Frequency = 1/(2*Off Time of Thyristor)
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