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[[File:Schematic induction regulator.svg|thumb|Schematic of wiring an induction regulator. Power source is connected to R-S-T rotor terminals. Output voltage is N+1-2-3 terminals.]]
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[[File:Diagram induction regulator.svg|thumb|Diagram of electrical [[phasor]]s for an induction regulator]]
An '''Induction regulator''' is a device, based on an [[induction motor]], which can provide a continuous ([[Analogue electronics|analogue]]) variable output [[voltage]]. In the past, it was used to control the voltage of electric networks. Nowadays, it has been replaced in this function by the [[Tap (transformer)|tap]] [[transformer]].  Its usage is now mostly confined to electrical laboratories, electrochemical processes and [[arc welding]]. With minor variations, its setup can be used as an isolator [[Quadrature booster|phase-shifting power transformer]].


==Construction==
If you would like use the '''MathML''' rendering mode, you need a wikipedia user account that can be registered here [[https://en.wikipedia.org/wiki/Special:UserLogin/signup]]
The induction regulator can be regarded as a wound [[induction motor]]. The rotor is not allowed to turn freely and it can be mechanically shifted by means of a [[worm gear]]. The rest of the regulator's construction follows that of a wound rotor [[induction motor]] with a slotted three-phase stator and a wound three-phase rotor with ends connected to accessible [[slip ring]]s plus common point (neutral)
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Depending on the application, the ratio of number of turns on the rotor and the stator can vary.
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==Working==
'''MathML'''
If the rotor terminals are connected to a [[three-phase electric power]] network, a [[rotating magnetic field]] will be driven into the [[magnetic core]].
:<math forcemathmode="mathml">E=mc^2</math>
The resulting flux will produce an [[electromotive force|emf]] on the windings of the stator with the particularity that if rotor and stator are physically shifted by an angle α, then the electric phase shifting of both windings is α too. Considering just the fundamental harmonic, and ignoring the shifting, the following equation rules:
:<math>\frac{U_{stator}}{U_{rotor}}=\frac{\xi_{stator} N_{stator}}{\xi_{rotor} N_{rotor}}
</math>


Where ξ is the [[winding factor]], a constant related to the construction of the windings.
<!--'''PNG'''  (currently default in production)
:<math forcemathmode="png">E=mc^2</math>


If the stator winding is connected to the primary phase, the total voltage seen from the neutral (N) will be the sum of the voltages at both windings rotor and stator. Translating this to electric [[phasor]]s, both phasors are connected. However, there is an angular shifting of α between them. Since α can be freely chosen between [0, π], both phasors can be added or subtracted, so all the values in between are attainable. The primary and secondary are not isolated. Also, the ratio of transformation between rotor/stator is constant. What makes the regulation possible is the angular shifting.
'''source'''
:<math forcemathmode="source">E=mc^2</math> -->


==Advantages==
<span style="color: red">Follow this [https://en.wikipedia.org/wiki/Special:Preferences#mw-prefsection-rendering link] to change your Math rendering settings.</span> You can also add a [https://en.wikipedia.org/wiki/Special:Preferences#mw-prefsection-rendering-skin Custom CSS] to force the MathML/SVG rendering or select different font families. See [https://www.mediawiki.org/wiki/Extension:Math#CSS_for_the_MathML_with_SVG_fallback_mode these examples].
The output voltage can be continuously regulated within the nominal range. This is a clear benefit against tap transformers where output voltage takes discrete values. Also, the voltage can be easily regulated under working conditions.


==Drawbacks==
==Demos==
In comparison to tap transformers, induction regulators are expensive, with lower efficiency, high open circuit currents (due to the airgap) and limited in voltage to less than 20kV.


==Applications==
Here are some [https://commons.wikimedia.org/w/index.php?title=Special:ListFiles/Frederic.wang demos]:
An induction regulator for power networks is usually designed to have a nominal voltage of 14kV and ±(10-15)% of regulation, but this use has declined. Nowadays, its main uses are in electrical laboratories and [[arc welding]].


==Bibliography==
{{cite book
  | last = Fraile-Mora
  | first = J. Jesús
  | authorlink = Jesús Fraile-Mora
  | title = Máquinas Eléctricas
  | publisher = [[McGraw-Hill]]
  | series =
  | year = 2003
  | doi =
  | isbn = 84-481-3913-5
  | pages = 358–359
}}


{{cite book
* accessibility:
  | last = Serrano-Iribarnegaray
** Safari + VoiceOver: [https://commons.wikimedia.org/wiki/File:VoiceOver-Mac-Safari.ogv video only], [[File:Voiceover-mathml-example-1.wav|thumb|Voiceover-mathml-example-1]], [[File:Voiceover-mathml-example-2.wav|thumb|Voiceover-mathml-example-2]], [[File:Voiceover-mathml-example-3.wav|thumb|Voiceover-mathml-example-3]], [[File:Voiceover-mathml-example-4.wav|thumb|Voiceover-mathml-example-4]], [[File:Voiceover-mathml-example-5.wav|thumb|Voiceover-mathml-example-5]], [[File:Voiceover-mathml-example-6.wav|thumb|Voiceover-mathml-example-6]], [[File:Voiceover-mathml-example-7.wav|thumb|Voiceover-mathml-example-7]]
  | first = Luis
** [https://commons.wikimedia.org/wiki/File:MathPlayer-Audio-Windows7-InternetExplorer.ogg Internet Explorer + MathPlayer (audio)]
  | authorlink = Luis Serrano-Iribarnegaray
** [https://commons.wikimedia.org/wiki/File:MathPlayer-SynchronizedHighlighting-WIndows7-InternetExplorer.png Internet Explorer + MathPlayer (synchronized highlighting)]
  | title = Fundamentos de Máquinas Eléctricas Rotativas
** [https://commons.wikimedia.org/wiki/File:MathPlayer-Braille-Windows7-InternetExplorer.png Internet Explorer + MathPlayer (braille)]
  | publisher = [[Marcombo Boixareu]]
** NVDA+MathPlayer: [[File:Nvda-mathml-example-1.wav|thumb|Nvda-mathml-example-1]], [[File:Nvda-mathml-example-2.wav|thumb|Nvda-mathml-example-2]], [[File:Nvda-mathml-example-3.wav|thumb|Nvda-mathml-example-3]], [[File:Nvda-mathml-example-4.wav|thumb|Nvda-mathml-example-4]], [[File:Nvda-mathml-example-5.wav|thumb|Nvda-mathml-example-5]], [[File:Nvda-mathml-example-6.wav|thumb|Nvda-mathml-example-6]], [[File:Nvda-mathml-example-7.wav|thumb|Nvda-mathml-example-7]].
  | series =
** Orca: There is ongoing work, but no support at all at the moment [[File:Orca-mathml-example-1.wav|thumb|Orca-mathml-example-1]], [[File:Orca-mathml-example-2.wav|thumb|Orca-mathml-example-2]], [[File:Orca-mathml-example-3.wav|thumb|Orca-mathml-example-3]], [[File:Orca-mathml-example-4.wav|thumb|Orca-mathml-example-4]], [[File:Orca-mathml-example-5.wav|thumb|Orca-mathml-example-5]], [[File:Orca-mathml-example-6.wav|thumb|Orca-mathml-example-6]], [[File:Orca-mathml-example-7.wav|thumb|Orca-mathml-example-7]].
  | year = 1989
** From our testing, ChromeVox and JAWS are not able to read the formulas generated by the MathML mode.
  | doi =
  | isbn = 8426707637
  | pages = 208–210
}}
{{cite book
  | last = Ras
  | first = Enrique
  | authorlink = Enrique Ras
  | title = Transformadores de potencia de medida y de protección
  | publisher = [[Marcombo Boixareu]]
  | series =
  | year = 1991
  | doi =
  | isbn = 84-267-0690-8
  | page = 160
}}


==See also==
==Test pages ==
*[[Variable frequency transformer]]


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==Bug reporting==
If you find any bugs, please report them at [https://bugzilla.wikimedia.org/enter_bug.cgi?product=MediaWiki%20extensions&component=Math&version=master&short_desc=Math-preview%20rendering%20problem Bugzilla], or write an email to math_bugs (at) ckurs (dot) de .

Latest revision as of 22:52, 15 September 2019

This is a preview for the new MathML rendering mode (with SVG fallback), which is availble in production for registered users.

If you would like use the MathML rendering mode, you need a wikipedia user account that can be registered here [[1]]

  • Only registered users will be able to execute this rendering mode.
  • Note: you need not enter a email address (nor any other private information). Please do not use a password that you use elsewhere.

Registered users will be able to choose between the following three rendering modes:

MathML

E=mc2


Follow this link to change your Math rendering settings. You can also add a Custom CSS to force the MathML/SVG rendering or select different font families. See these examples.

Demos

Here are some demos:


Test pages

To test the MathML, PNG, and source rendering modes, please go to one of the following test pages:

Bug reporting

If you find any bugs, please report them at Bugzilla, or write an email to math_bugs (at) ckurs (dot) de .