Editing Duty cycle

{{Short description|Activity fraction of a periodic system}}
[[File:PWM duty cycle with label.gif|thumb|The duty cycle <math>D</math> is defined as the ratio between the pulse duration, or pulse width (<math>PW</math>) and the period (<math>T</math>) of a rectangular waveform]]
[[File:Duty-Cycle-and-Spectrum.ogv|thumb|Spectrum in relation to duty cycle]]

A '''duty cycle''' or '''power cycle''' is the fraction of one [[Frequency|period]] in which a signal or system is active.<ref name=Barrett>{{Cite book|last1=Barrett|first1=Steven Frank|last2=Pack|first2=Daniel J.|chapter=Timing subsystem|title=Microcontrollers Fundamentals for Engineers and Scientists|date=2006|pages=51–64|publisher=Morgan and Claypool Publishers|isbn=1-598-29058-4}}</ref><ref name=Cox>{{Cite book|last1=Cox|first1=James F.|last2=Chartrand|first2=Leo|chapter=Nonsinusoidal oscillators|title=Fundamentals of Linear Electronics: Integrated and Discrete|pages=511–584|edition=2|publisher=Cengage Learning|date=June 26, 2001|isbn=0-766-83018-7}}</ref><ref name="federal standard">{{Cite web|url=http://www.its.bldrdoc.gov/fs-1037/dir-013/_1849.htm|title=Definition: duty cycle|publisher=Institute for Telecommunication Sciences|location=Boulder, Colorado|access-date=March 3, 2011|work=Federal Standard 1037C, "Telecommunications: Glossary of Telecommunication Terms"|date=1996}}</ref> Duty cycle is commonly expressed as a percentage or a ratio.  A period is the time it takes for a signal to complete an on-and-off [[Turn (angle)|cycle]]. As a formula, a duty cycle (%) may be expressed as:

:<math>D = \frac{PW}{T} \times 100\%</math><ref name=Cox/>
Equally, a duty cycle (ratio) may be expressed as:

:<math>D = \frac{PW}{T}</math>

where <math>D</math> is the duty cycle, <math>PW</math> is the pulse width (pulse active time), and <math>T</math> is the total period of the signal. Thus, a 60% duty cycle means the signal 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, a day, or even a week, depending on the length of the period.

Duty cycles can be used to describe the percent time of an active signal in an electrical device such as the power switch in a [[Switched-mode power supply|switching power supply]] or the firing of [[action potentials]] by a living system such as a [[neuron]].<ref name=brown>{{Cite book|last1=Brown|first1=Martin|chapter=How a switching power supply works|title=Practical Switching Power Supply Design (Motorola Series in Solid State Electronics)|publisher=Academic Press|location=San Diego, CA|year=1990|isbn=0-121-37030-5|pages=5–8}}</ref><ref name=Harris-Warrick>{{Cite book|last1=Harris-Warrick|first1=Ronald|last2=Nagy|first2=Frédéric|last3=Nusbaum|first3=Michael|title=Dynamic biological networks: the stomatogastric nervous system|editor1-first= Ronald|editor1-last=Harris-Warrick|editor2-first=Eve|editor2-last=Marder|editor3-first= Alan|editor3-last=Silverston|editor4-first= Maurice|display-editors = 3 |editor4-last=Moulins|publisher=MIT Press|location=Massachusetts|year=1992|isbn=0-262-08214-4|pages=87–139}}</ref>

Some publications use <math>\alpha</math> as the symbol for duty cycle.<ref>{{Cite book|url=https://books.google.com/books?id=0_D6gfUHjcEC&q=page+438|title=Power Electronics|last=Singh|first=M. D.|date=2008-07-07|publisher=Tata McGraw-Hill Education|isbn=9780070583894|language=en}}</ref>

As a ratio, duty cycle is [[unitless]] and may be given as decimal fraction and percentage alike.

An alternative term in use is '''duty factor'''.<ref name="Graf1999">{{cite book|author=Rudolf F. Graf|title=Modern Dictionary of Electronics|year=1999|publisher=Elsevier Science|isbn=978-0-08-051198-6|page=225}}</ref><ref>{{Cite web |title=EN 60469:2013 |url=https://standards.cencenelec.eu/dyn/www/f?p=305:110 |access-date=2023-10-14 |website=standards.cencenelec.eu}}</ref><ref>{{Cite web |title=IEC 60469:2013 |url=https://webstore.iec.ch/publication/2211 |access-date=2023-10-14 |website=webstore.iec.ch}}</ref>

== Applications ==

=== Electrical and electronics ===
In [[electronics]], duty cycle is the percentage of the ratio of pulse duration, or pulse width (PW) to the total period (T) of the waveform. It is generally used to represent time duration of a pulse when it is high (1). In [[digital electronics]], signals are used in rectangular waveform which are represented by logic 1 and logic 0. Logic 1 stands for presence of an electric pulse and 0 for absence of an electric pulse. For example, a signal (10101010) has 50% duty cycle, because the pulse remains high for 1/2 of the period and low for 1/2 of the period. Similarly, for pulse (10001000) the duty cycle will be 25% because the pulse remains high only for 1/4 of the period and remains low for 3/4 of the period.
[[Electric motors]] typically use a duty cycle of less than 100%.  For example, if a motor runs for one out of 100 seconds (or 1/100 of the time), its duty cycle is 1/100, or 1%.<ref>{{Cite web|url=http://www.electricmotors.machinedesign.com/guiEdits/Content/bdeee1/bdeee1_3.aspx|title=Electric Motors|publisher=Machine Design|access-date=March 23, 2011}}</ref>

[[Pulse-width modulation]] (PWM) is used in a variety of electronic situations, such as power delivery and voltage regulation.

In electronic music, music [[synthesizers]] vary the duty cycle of their audio-frequency oscillators to obtain a subtle effect on the [[tone color]]s.  This technique is known as pulse-width modulation.

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

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.<ref>{{Cite web|url=http://www.zena.net/htdocs/FAQ/dutycycle.shtml|title=What does the term duty cycle mean?|publisher=ZENA, Inc. welding systems|access-date=March 23, 2011}}</ref>

=== Biological systems ===
The concept of duty cycles is also used to describe the activity of neurons and [[muscle fibers]]. In [[neural circuit]]s for example, a duty cycle specifically refers to the proportion of a cycle period in which a neuron remains active.<ref name=Harris-Warrick />

== Generation ==
One way to generate fairly accurate [[Square wave (waveform)|square wave]] signals with 1/''n'' duty factor, where ''n'' is an integer, is to vary the duty cycle until the ''n''th-[[harmonic]] is significantly suppressed. For audio-band signals, this can even be done "by ear"; for example, a −40&nbsp;[[Decibel|dB]] reduction in the 3rd harmonic corresponds to setting the duty factor to 1/3 with a precision of 1% and −60&nbsp;dB reduction corresponds to a precision of 0.1%.<ref name="Hartmann1997">{{cite book|author=William M. Hartmann|title=Signals, Sound, and Sensation|year=1997|publisher=Springer Science & Business Media|isbn=978-1-56396-283-7|page=109}}</ref>

== Mark–space ratio ==
{{See also|Mark and space}}
'''Mark–space ratio''', or '''mark-to-space ratio''', is another term for the same concept, to describe the temporal relationship between two alternating periods of a waveform. However, whereas the duty cycle relates the duration of one period to the duration of the entire cycle, the mark–space ratio relates the durations of the two individual periods:<ref>{{Cite web|url=https://www.allaboutcircuits.com/tools/555-timer-astable-circuit/|title=555 Timer Astable Circuit|access-date=September 19, 2020}}</ref>

:<math>\text{mark–space ratio} = \frac{PW_\text{on}}{PW_\text{off}}</math>

where <math>PW_\text{on}</math> and <math>PW_\text{off}</math> are the durations of the two alternating periods.

==References==

{{Reflist}}

[[Category:Electrical engineering]]
[[Category:Mechanical engineering]]
[[Category:Timing in electronic circuits]]
[[Category:Articles containing video clips]]