Time when Current becomes Maximum for Unidirectional Switches Calculator

✖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 [f_ο]			+10% -10%
✖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%
✖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%

✖Time when current is maximum is referring to the current in series resonant inverter.ⓘ Time when Current becomes Maximum for Unidirectional Switches [t_r]

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Formula

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Time when Current becomes Maximum for Unidirectional Switches

Formula

`"t"_{"r"} = (1/"f"_{"ο"})*atan(("f"_{"ο"}*2*"L")/("R"))`

Example

`"0.033001s"=(1/"24Hz")*atan(("24Hz"*2*"0.57H")/("27Ω"))`

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Time when Current becomes Maximum for Unidirectional Switches Solution

STEP 0: Pre-Calculation Summary

Formula Used

Time = (1/Resonant Frequency)*atan((Resonant Frequency*2*Inductance)/(Resistance))
t_r = (1/f_ο)*atan((f_ο*2*L)/(R))
This formula uses 2 Functions, 4 Variables

Functions Used

tan - The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle., tan(Angle)
atan - Inverse tan is used to calculate the angle by applying the tangent ratio of the angle, which is the opposite side divided by the adjacent side of the right triangle., atan(Number)

Variables Used

Time - (Measured in Second) - Time when current is maximum is referring to the current in series resonant inverter.
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.
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

Resonant Frequency: 24 Hertz --> 24 Hertz No Conversion Required
Inductance: 0.57 Henry --> 0.57 Henry No Conversion Required
Resistance: 27 Ohm --> 27 Ohm No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

t_r = (1/f_ο)*atan((f_ο*2*L)/(R)) --> (1/24)*atan((24*2*0.57)/(27))

Evaluating ... ...

t_r = 0.0330008576308382

STEP 3: Convert Result to Output's Unit

0.0330008576308382 Second --> No Conversion Required

FINAL ANSWER

0.0330008576308382 ≈ 0.033001 Second <-- Time

(Calculation completed in 00.004 seconds)

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Shiv Nadar University (SNU), Greater Noida

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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)

Time when Current becomes Maximum for Unidirectional Switches Formula

Time = (1/Resonant Frequency)*atan((Resonant Frequency*2*Inductance)/(Resistance))
t_r = (1/f_ο)*atan((f_ο*2*L)/(R))

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 Time when Current becomes Maximum for Unidirectional Switches?

Time when Current becomes Maximum for Unidirectional Switches calculator uses Time = (1/Resonant Frequency)*atan((Resonant Frequency*2*Inductance)/(Resistance)) to calculate the Time, The Time when current becomes maximum for unidirectional switches is found by the condition that di₁/dt where i_i is the current through thyristor 1 is zero. Time is denoted by t_r symbol.

How to calculate Time when Current becomes Maximum for Unidirectional Switches using this online calculator? To use this online calculator for Time when Current becomes Maximum for Unidirectional Switches, enter Resonant Frequency (f_ο), Inductance (L) & Resistance (R) and hit the calculate button. Here is how the Time when Current becomes Maximum for Unidirectional Switches calculation can be explained with given input values -> 0.033001 = (1/24)*atan((24*2*0.57)/(27)).

FAQ

What is Time when Current becomes Maximum for Unidirectional Switches?

The Time when current becomes maximum for unidirectional switches is found by the condition that di₁/dt where i_i is the current through thyristor 1 is zero and is represented as t_r = (1/f_ο)*atan((f_ο*2*L)/(R)) or Time = (1/Resonant Frequency)*atan((Resonant Frequency*2*Inductance)/(Resistance)). 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 is the tendency of an electric conductor to oppose a change in the electric current flowing through a inverter based circuit & Resistance is a measure of the opposition to current flow in an inverter based circuit. Its S.I unit is ohm.

How to calculate Time when Current becomes Maximum for Unidirectional Switches?

The Time when current becomes maximum for unidirectional switches is found by the condition that di₁/dt where i_i is the current through thyristor 1 is zero is calculated using Time = (1/Resonant Frequency)*atan((Resonant Frequency*2*Inductance)/(Resistance)). To calculate Time when Current becomes Maximum for Unidirectional Switches, you need Resonant Frequency (f_ο), Inductance (L) & Resistance (R). With our tool, you need to enter the respective value for Resonant Frequency, Inductance & 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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