Average Transit Angle Calculator

✖Angular Frequency of a steadily recurring phenomenon expressed in radians per second.ⓘ Angular Frequency [ω]			+10% -10%
✖Average Transit Time is the average time passed in the transient state.ⓘ Average Transit Time [τ]			+10% -10%

✖Average transient angle is Stability of Paralleled Synchronous and Virtual Synchronous Generators in Islanded Microgrids.ⓘ Average Transit Angle [θ_g]

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Formula

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Average Transit Angle

Formula

`"θ"_{"g"} = "ω"*"τ"`

Example

`"30.02rad"="7.9e8rad/s"*"3.8e-8s"`

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Average Transit Angle Solution

STEP 0: Pre-Calculation Summary

Formula Used

Average Transient Angle = Angular Frequency*Average Transit Time
θ_g = ω*τ
This formula uses 3 Variables

Variables Used

Average Transient Angle - (Measured in Radian) - Average transient angle is Stability of Paralleled Synchronous and Virtual Synchronous Generators in Islanded Microgrids.
Angular Frequency - (Measured in Radian per Second) - Angular Frequency of a steadily recurring phenomenon expressed in radians per second.
Average Transit Time - (Measured in Second) - Average Transit Time is the average time passed in the transient state.

STEP 1: Convert Input(s) to Base Unit

Angular Frequency: 790000000 Radian per Second --> 790000000 Radian per Second No Conversion Required
Average Transit Time: 3.8E-08 Second --> 3.8E-08 Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

θ_g = ω*τ --> 790000000*3.8E-08

Evaluating ... ...

θ_g = 30.02

STEP 3: Convert Result to Output's Unit

30.02 Radian --> No Conversion Required

FINAL ANSWER

30.02 Radian <-- Average Transient Angle

(Calculation completed in 00.020 seconds)

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Home » Engineering » Electronics » Microwave Theory » Microwave Tubes and Circuits » Klystron Cavity » Average Transit Angle

Credits

Created by Shobhit Dimri

Bipin Tripathi Kumaon Institute of Technology (BTKIT), Dwarahat

Shobhit Dimri has created this Calculator and 900+ more calculators!

Verified by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

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< 14 Klystron Cavity Calculators

Average Microwave Voltage in Buncher Gap

Go Average Microwave Voltage = Input Signal Amplitude*Beam Coupling Coefficient*sin(Angular Frequency*Entering Time+(Average Transient Angle/2))

Maximum Input Voltage in Two Cavity Klystron

Go Maximum Input Voltage in Two Cavity Klystron = (2*Reflex Klystron Voltage*Bunching Parameter)/(Beam Coupling Coefficient*Average Transient Angle)

Average Distance between Cavities

Go Mean Distance Between the Cavities = (2*pi*Number of Oscillation)/(Phase Constant for N-cavities*Number of Resonant Cavities)

Phase Constant of Fundamental Mode Field

Go Phase Constant for N-cavities = (2*pi*Number of Oscillation)/(Mean Distance Between the Cavities*Number of Resonant Cavities)

Magnitude of Microwave Signal at Input Cavity

Go Magnitude of Microwave Signal = (2*Cathode Buncher Voltage*Bunching Parameter)/(Beam Coupling Coefficient*Angular Variation)

Velocity Modulation of Electrons in Klystron Cavity

Go Velocity Modulation = sqrt((2*[Charge-e]*High DC Voltage)/[Mass-e])

Conductance of Resonator

Go Conductance of Cavity = (Capacitance at Vane Tips*Angular Frequency)/Unloaded Q-factor

Beam Coupling Coefficient in Two Cavity Klystron

Go Beam Coupling Coefficient = sin(Average Transient Angle/2)/(Average Transient Angle/2)

Number of Resonant Cavities

Go Number of Resonant Cavities = (2*pi*Number of Oscillation)/Phase Shift in Magnetron

Induced Current in Catcher Cavity

Go Induced Catcher Current = Current Arriving at Catcher Cavity Gap*Beam Coupling Coefficient

Buncher Cavity Gap

Go Buncher Cavity Gap = Average Transit Time*Electron Uniform Velocity

Induced Current in Walls of Catcher Cavity

Go Induced Catcher Current = Beam Coupling Coefficient*Direct Current

Average Transit Angle

Go Average Transient Angle = Angular Frequency*Average Transit Time

Average Transit Time

Go Average Transit Time = Buncher Cavity Gap/Velocity Modulation

Average Transit Angle Formula

Average Transient Angle = Angular Frequency*Average Transit Time
θ_g = ω*τ

What is Buncher Cavity Gap?

A buncher is an RF accelerator followed by a drift space. Its purpose is to bunch the dc ion source beam into suitable bunches for acceleration in a linac. The voltage in a simple buncher is a sine wave at the linac frequency.

How to Calculate Average Transit Angle?

Average Transit Angle calculator uses Average Transient Angle = Angular Frequency*Average Transit Time to calculate the Average Transient Angle, The Average Transit Angle formula is defined as Stability of Paralleled Synchronous and Virtual Synchronous Generators in Islanded Microgrids. Average Transient Angle is denoted by θ_g symbol.

How to calculate Average Transit Angle using this online calculator? To use this online calculator for Average Transit Angle, enter Angular Frequency (ω) & Average Transit Time (τ) and hit the calculate button. Here is how the Average Transit Angle calculation can be explained with given input values -> 30.02 = 790000000*3.8E-08.

FAQ

What is Average Transit Angle?

The Average Transit Angle formula is defined as Stability of Paralleled Synchronous and Virtual Synchronous Generators in Islanded Microgrids and is represented as θ_g = ω*τ or Average Transient Angle = Angular Frequency*Average Transit Time. Angular Frequency of a steadily recurring phenomenon expressed in radians per second & Average Transit Time is the average time passed in the transient state.

How to calculate Average Transit Angle?

The Average Transit Angle formula is defined as Stability of Paralleled Synchronous and Virtual Synchronous Generators in Islanded Microgrids is calculated using Average Transient Angle = Angular Frequency*Average Transit Time. To calculate Average Transit Angle, you need Angular Frequency (ω) & Average Transit Time (τ). With our tool, you need to enter the respective value for Angular Frequency & Average Transit Time 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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