Erdős–Turán conjecture on additive bases: Difference between revisions
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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.]] | |||
[[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 utilized 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 utilized as an isolator [[Quadrature booster|phase-shifting power transformer]]. | |||
==Construction== | |||
It can be regarded as a wound [[induction motor]] utilized in pure electrical applications in comparison to the standard one which is electro-mechanical. Hence, the rotor does not normally turn, although it can be mechanically shifted by means of a [[worm gear]]. The rest of its constitution follows exactly a wound rotor [[induction motor]] as: | |||
*slotted three-phase stator | |||
*wound three-phase rotor, ends connected to accessible [[slip ring]]s plus common point (neutral) | |||
Depending on the application, the ratio of number of turns between rotor/stator can vary. | |||
==Working== | |||
If the rotor terminals are connected to a [[three-phase electric power]] network, a [[rotating magnetic field]] will be driven into the [[magnetic core]]. | |||
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. | |||
Hence, 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 substracted. Obviously, all the values in between are attainable. Note that 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. | |||
==Advantages== | |||
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== | |||
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== | |||
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 | |||
| last = Serrano-Iribarnegaray | |||
| first = Luis | |||
| authorlink = Luis Serrano-Iribarnegaray | |||
| title = Fundamentos de Máquinas Eléctricas Rotativas | |||
| publisher = [[Marcombo Boixareu]] | |||
| series = | |||
| year = 1989 | |||
| doi = | |||
| isbn = 84267070637 {{Please check ISBN|reason=Invalid length.}} | |||
| 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== | |||
*[[Variable frequency transformer]] | |||
[[Category:Articles created via the Article Wizard]] | |||
[[Category:Transformers (electrical)]] | |||
[[Category:Energy conversion]] | |||
[[Category:Electric motors]] | |||
[[Category:Italian inventions]] | |||
Revision as of 01:01, 2 September 2013
An Induction regulator is a device, based on an induction motor, which can provide a continuous (analogue) variable output voltage. In the past, it was utilized to control the voltage of electric networks. Nowadays, it has been replaced in this function by the tap transformer. Its usage is now mostly confined to electrical laboratories, electrochemical processes and arc welding. With minor variations, its setup can be utilized as an isolator phase-shifting power transformer.
Construction
It can be regarded as a wound induction motor utilized in pure electrical applications in comparison to the standard one which is electro-mechanical. Hence, the rotor does not normally turn, although it can be mechanically shifted by means of a worm gear. The rest of its constitution follows exactly a wound rotor induction motor as:
- slotted three-phase stator
- wound three-phase rotor, ends connected to accessible slip rings plus common point (neutral)
Depending on the application, the ratio of number of turns between rotor/stator can vary.
Working
If the rotor terminals are connected to a three-phase electric power network, a rotating magnetic field will be driven into the magnetic core. The resulting flux will produce an 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:
Where ξ is the winding factor, a constant related to the construction of the windings.
Hence, 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 phasors, 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 substracted. Obviously, all the values in between are attainable. Note that 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.
Advantages
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
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
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
20 year-old Real Estate Agent Rusty from Saint-Paul, has hobbies and interests which includes monopoly, property developers in singapore and poker. Will soon undertake a contiki trip that may include going to the Lower Valley of the Omo.
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20 year-old Real Estate Agent Rusty from Saint-Paul, has hobbies and interests which includes monopoly, property developers in singapore and poker. Will soon undertake a contiki trip that may include going to the Lower Valley of the Omo.
My blog: http://www.primaboinca.com/view_profile.php?userid=5889534
20 year-old Real Estate Agent Rusty from Saint-Paul, has hobbies and interests which includes monopoly, property developers in singapore and poker. Will soon undertake a contiki trip that may include going to the Lower Valley of the Omo.
My blog: http://www.primaboinca.com/view_profile.php?userid=5889534