Duty Cycle Solution

STEP 0: Pre-Calculation Summary
Formula Used
Duty Cycle = Chopper On Time/Chopping Period
d = Ton/T
This formula uses 3 Variables
Variables Used
Duty Cycle - A Duty Cycle or power cycle is the fraction of one period in which a signal or system is active.
Chopper On Time - (Measured in Second) - Chopper On Time refers to the time period for which chopper was in ON state.
Chopping Period - (Measured in Second) - The Chopping Period is defined as complete time cycle, comprising both the on-time and off-time of the chopper switch.
STEP 1: Convert Input(s) to Base Unit
Chopper On Time: 0.45 Second --> 0.45 Second No Conversion Required
Chopping Period: 0.85 Second --> 0.85 Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
d = Ton/T --> 0.45/0.85
Evaluating ... ...
d = 0.529411764705882
STEP 3: Convert Result to Output's Unit
0.529411764705882 --> No Conversion Required
FINAL ANSWER
0.529411764705882 0.529412 <-- Duty Cycle
(Calculation completed in 00.004 seconds)

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12 Chopper Core Factors Calculators

Excess Work Due to Thyristor 1 in Chopper Circuit
Go Excess Work = 0.5*Limiting Inductance*((Output Current+(Reverse Recovery Time*Capacitor Commutation Voltage)/Limiting Inductance)-Output Current^2)
Critical Inductance
Go Inductance = Load Voltage^2*((Source Voltage-Load Voltage)/(2*Chopping Frequency*Source Voltage*Load Power))
Energy Released by Inductor to Load
Go Energy Released = (Output Voltage-Input Voltage)*((Current 1+Current 2)/2)*Circuit Turn Off Time
Energy Input to Inductor from Source
Go Energy Input = Source Voltage*((Current 1+Current 2)/2)*Chopper On Time
Critical Capacitance
Go Critical Capacitance = (Output Current/(2*Source Voltage))*(1/Maximum Frequency)
Maximum Ripple Current Resistive Load
Go Ripple Current = Source Voltage/(4*Inductance*Chopping Frequency)
AC Ripple Voltage
Go Ripple Voltage = sqrt(RMS Voltage^2-Load Voltage^2)
Ripple Factor of DC Chopper
Go Ripple Factor = sqrt((1/Duty Cycle)-Duty Cycle)
Chopping Period
Go Chopping Period = Chopper On Time+Circuit Turn Off Time
Chopping Frequency
Go Chopping Frequency = Duty Cycle/Chopper On Time
Duty Cycle
Go Duty Cycle = Chopper On Time/Chopping Period
Effective Input Resistance
Go Input Resistance = Resistance/Duty Cycle

Duty Cycle Formula

Duty Cycle = Chopper On Time/Chopping Period
d = Ton/T

What is chopper and chopping period ?

A chopper is a static device that converts fixed DC input voltage to a variable DC output voltage. It is basically a high-speed ON/OFF semiconductor switch. When the chopper switch is ON, the load voltage is equal to the source voltage Vs and when the switch is OFF, load voltage becomes equal to ZERO. Thus, a chopped voltage across the load is obtained. Total time or chopping period is the sum of ON and OFF time.

How to Calculate Duty Cycle?

Duty Cycle calculator uses Duty Cycle = Chopper On Time/Chopping Period to calculate the Duty Cycle, The Duty cycle formula is defined as the ratio of the ON time of chopper to the chopping period(total time). Duty Cycle is denoted by d symbol.

How to calculate Duty Cycle using this online calculator? To use this online calculator for Duty Cycle, enter Chopper On Time (Ton) & Chopping Period (T) and hit the calculate button. Here is how the Duty Cycle calculation can be explained with given input values -> 0.529412 = 0.45/0.85.

FAQ

What is Duty Cycle?
The Duty cycle formula is defined as the ratio of the ON time of chopper to the chopping period(total time) and is represented as d = Ton/T or Duty Cycle = Chopper On Time/Chopping Period. Chopper On Time refers to the time period for which chopper was in ON state & The Chopping Period is defined as complete time cycle, comprising both the on-time and off-time of the chopper switch.
How to calculate Duty Cycle?
The Duty cycle formula is defined as the ratio of the ON time of chopper to the chopping period(total time) is calculated using Duty Cycle = Chopper On Time/Chopping Period. To calculate Duty Cycle, you need Chopper On Time (Ton) & Chopping Period (T). With our tool, you need to enter the respective value for Chopper On Time & Chopping Period 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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