Klystron Efficiency Calculator

✖The Beam Complex coefficient describes the degree to which the electrons undergo the process of velocity modulation.ⓘ Beam Complex Coefficient [β₀]			+10% -10%
✖First Order Bessel Function has zeros at certain values of x, known as the Bessel zeros, which have important applications in signal processing and antenna theory.ⓘ First Order Bessel Function [JX]			+10% -10%
✖Catcher Gap Voltage is the voltage in the gap between two electrodes.ⓘ Catcher Gap Voltage [V₂]			+10% -10%
✖Cathode Buncher Voltage is the voltage applied to the cathode of a klystron tube to produce a bunched electron beam that interacts with the resonant cavity of the klystron to produce microwave power.ⓘ Cathode Buncher Voltage [V_o]			+10% -10%

✖Klystron Efficiency is the work performed by a machine or in a process to the total energy expended or heat taken in.ⓘ Klystron Efficiency [η_k]

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Formula

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Klystron Efficiency

Formula

`"η"_{"k"} = ("β"_{"0"}*"JX")*("V"_{"2"}/"V"_{"o"})`

Example

`"0.454642"=("0.653"*"0.538")*("110V"/"85V")`

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Klystron Efficiency Solution

STEP 0: Pre-Calculation Summary

Formula Used

Klystron Efficiency = (Beam Complex Coefficient*First Order Bessel Function)*(Catcher Gap Voltage/Cathode Buncher Voltage)
η_k = (β₀*JX)*(V₂/V_o)
This formula uses 5 Variables

Variables Used

Klystron Efficiency - Klystron Efficiency is the work performed by a machine or in a process to the total energy expended or heat taken in.
Beam Complex Coefficient - The Beam Complex coefficient describes the degree to which the electrons undergo the process of velocity modulation.
First Order Bessel Function - First Order Bessel Function has zeros at certain values of x, known as the Bessel zeros, which have important applications in signal processing and antenna theory.
Catcher Gap Voltage - (Measured in Volt) - Catcher Gap Voltage is the voltage in the gap between two electrodes.
Cathode Buncher Voltage - (Measured in Volt) - Cathode Buncher Voltage is the voltage applied to the cathode of a klystron tube to produce a bunched electron beam that interacts with the resonant cavity of the klystron to produce microwave power.

STEP 1: Convert Input(s) to Base Unit

Beam Complex Coefficient: 0.653 --> No Conversion Required
First Order Bessel Function: 0.538 --> No Conversion Required
Catcher Gap Voltage: 110 Volt --> 110 Volt No Conversion Required
Cathode Buncher Voltage: 85 Volt --> 85 Volt No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

η_k = (β₀*JX)*(V₂/V_o) --> (0.653*0.538)*(110/85)

Evaluating ... ...

η_k = 0.454641647058824

STEP 3: Convert Result to Output's Unit

0.454641647058824 --> No Conversion Required

FINAL ANSWER

0.454641647058824 ≈ 0.454642 <-- Klystron Efficiency

(Calculation completed in 00.004 seconds)

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Created by Shobhit Dimri

Bipin Tripathi Kumaon Institute of Technology (BTKIT), Dwarahat

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< 13 Klystron Calculators

Width of Depletion Zone

Go Width of Depletion Region = sqrt((([Permitivity-silicon]*2)/([Charge-e]*Doping Density))*(Schottky Potential Barrier-Gate Voltage))

Mutual Conductance of Klystron Amplifier

Go Mutual Conductance of Klystron Amplifier = (2*Cathode Buncher Current*Beam Coupling Coefficient*First Order Bessel Function)/Input Signal Amplitude

Klystron Efficiency

Go Klystron Efficiency = (Beam Complex Coefficient*First Order Bessel Function)*(Catcher Gap Voltage/Cathode Buncher Voltage)

Bunching Parameter of Klystron

Go Bunching Parameter = (Beam Coupling Coefficient*Input Signal Amplitude*Angular Variation)/(2*Cathode Buncher Voltage)

Beam Loading Conductance

Go Beam Loading Conductance = Conductance of Cavity-(Loaded Conductance+Copper Loss Conductance)

Copper Loss of Cavity

Go Copper Loss Conductance = Conductance of Cavity-(Beam Loading Conductance+Loaded Conductance)

Cavity Conductance

Go Conductance of Cavity = Loaded Conductance+Copper Loss Conductance+Beam Loading Conductance

Anode Voltage

Go Anode Voltage = Power Generated in Anode Circuit/(Anode Current*Electronic Efficiency)

Resonant Frequency of Cavity

Go Resonant Frequency = Q factor of Cavity Resonator*(Frequency 2-Frequency 1)

Input Power of Reflex Klystron

Go Reflex Klystron Input Power = Reflex Klystron Voltage*Reflex Klystron Beam Current

DC Transit Time

Go DC Transient Time = Gate Length/Saturation Drift Velocity

Power Loss in Anode Circuit

Go Power Loss = DC Power Supply*(1-Electronic Efficiency)

DC Power Supply

Go DC Power Supply = Power Loss/(1-Electronic Efficiency)

Klystron Efficiency Formula

Klystron Efficiency = (Beam Complex Coefficient*First Order Bessel Function)*(Catcher Gap Voltage/Cathode Buncher Voltage)
η_k = (β₀*JX)*(V₂/V_o)

What is Klystron?

Klystrons are high power microwave vacuum tubes. They are velocity-modulated tubes that are used in radars as amplifiers or oscillators. A klystron uses the kinetic energy of an electron beam for the amplification of a high-frequency signal.

How to Calculate Klystron Efficiency?

Klystron Efficiency calculator uses Klystron Efficiency = (Beam Complex Coefficient*First Order Bessel Function)*(Catcher Gap Voltage/Cathode Buncher Voltage) to calculate the Klystron Efficiency, Klystron efficiency is a measure of how effectively a klystron tube converts input power into output power, particularly at the desired radiofrequency (RF).Klystrons are often designed to achieve high efficiency to meet the demands of various applications. Klystron Efficiency is denoted by η_k symbol.

How to calculate Klystron Efficiency using this online calculator? To use this online calculator for Klystron Efficiency, enter Beam Complex Coefficient (β₀), First Order Bessel Function (JX), Catcher Gap Voltage (V₂) & Cathode Buncher Voltage (V_o) and hit the calculate button. Here is how the Klystron Efficiency calculation can be explained with given input values -> 0.454642 = (0.653*0.538)*(110/85).

FAQ

What is Klystron Efficiency?

Klystron efficiency is a measure of how effectively a klystron tube converts input power into output power, particularly at the desired radiofrequency (RF).Klystrons are often designed to achieve high efficiency to meet the demands of various applications and is represented as η_k = (β₀*JX)*(V₂/V_o) or Klystron Efficiency = (Beam Complex Coefficient*First Order Bessel Function)*(Catcher Gap Voltage/Cathode Buncher Voltage). The Beam Complex coefficient describes the degree to which the electrons undergo the process of velocity modulation, First Order Bessel Function has zeros at certain values of x, known as the Bessel zeros, which have important applications in signal processing and antenna theory, Catcher Gap Voltage is the voltage in the gap between two electrodes & Cathode Buncher Voltage is the voltage applied to the cathode of a klystron tube to produce a bunched electron beam that interacts with the resonant cavity of the klystron to produce microwave power.

How to calculate Klystron Efficiency?

Klystron efficiency is a measure of how effectively a klystron tube converts input power into output power, particularly at the desired radiofrequency (RF).Klystrons are often designed to achieve high efficiency to meet the demands of various applications is calculated using Klystron Efficiency = (Beam Complex Coefficient*First Order Bessel Function)*(Catcher Gap Voltage/Cathode Buncher Voltage). To calculate Klystron Efficiency, you need Beam Complex Coefficient (β₀), First Order Bessel Function (JX), Catcher Gap Voltage (V₂) & Cathode Buncher Voltage (V_o). With our tool, you need to enter the respective value for Beam Complex Coefficient, First Order Bessel Function, Catcher Gap Voltage & Cathode Buncher Voltage 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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