# Duty cycle

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Duty cycle

In engineering, the duty cycle of a machine or system is the time that it spends in an active state as a fraction of the total time under consideration.[1]

The term is often used pertaining to electrical devices, e.g., switching power supplies. A 60% duty cycle means the power is on 60% of the time and off 40% of the time. The "on time" for a 60% duty cycle could be a fraction of a second – or for say, irrigation pumps, days – depending on how long the device's period is. Here one period is the length of time it takes for the device to go through a complete on/off cycle. The term "duty cycle" has no agreed meaning for aperiodic devices.

## Definition

The duty cycle D is defined as the ratio between the pulse duration (τ) and the period (Τ) of a rectangular waveform

In a periodic event, duty cycle is the ratio of the duration of the event to the total period.

duty cycle $D = \frac{\tau}{\Tau} \,$[2]

where

τ is the duration that the function is active
Τ is the period of the function.

## Examples

### Electrical machines

A motor runs for one out of 100 seconds, or 1/100 of the time, and therefore its duty cycle is 1/100, or 1 percent.[3]

### Electronics

In an ideal pulse train (one having rectangular pulses), the duty cycle is the pulse duration divided by the pulse period.[4] For example, a pulse train in which the pulse duration is 1 μs and the pulse period is 4 μs has a duty cycle of 25%. The pulse duration is normally calculated for positive pulses unless "negative duty cycle" is specified.

The duty cycle of a non-rectangular waveform, such as a sine or triangle wave, is defined as the fraction of the period the waveform spends above 0.[5]

### Digital signal processing

In a continuously variable slope delta (CVSD) modulation converter, the mean proportion of binary "1" digits at the converter output in which each "1" indicates a run of a specified number of consecutive bits of the same polarity in the digital output signal.

### Electronic music

Music synthesizers vary the duty cycle of their audio-frequency oscillators to obtain a subtle effect on the tone colors. This technique is known as pulse-width modulation (PWM).

### Welding

In a welding power supply, the maximum duty cycle is defined as the percentage of time in a 10 minute period that it can be operated continuously before overheating.[6]

### Printers and copiers

In the printer / copier industry, the duty cycle specification refers to the rated throughput (that is, printed pages) of a device per month.

## References

1. ^ "Definition: duty cycle", Institute for Telecommunication Sciences, Boulder, Colorado, accessed 2011-03-23; from Federal Standard 1037C, "Telecommunications: Glossary of Telecommunication Terms", 1996
2. ^ "555 timer", Doctronics, accessed 2011-03-23
3. ^ "Electric Motors", Machine Design, accessed 2011-03-23
4. ^ "Clock Positive Duty Cycle", Aubrax, accessed 2011-03-23
5. ^ MAX038 High-Frequency Function Generator Data Sheet 19-0266; Rev 7; 8/07, Maxim Integrated Products, Inc., accessed 2011-03-23
6. ^ "What does the term duty cycle mean?", ZENA, Inc. welding systems

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