# Encyclopedia Magnetica

Encyclopedia of magnetics and electromagnetics.

air_gap

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 air_gap [2016/07/01 17:31]Dr Stan Zurek title link air_gap [2019/06/03 18:28] Line 1: Line 1: - ====== Air gap ====== - |< 100% >| - | //​[[user/​Stan Zurek]], **[[Air gap]]**, [[http://​Encyclopedia-Magnetica.com|Encyclopedia-Magnetica.com]],​ {accessed on @YEAR@-@MONTH@-@DAY@}//​ | - | //​[[/​wiki/​awaiting review]] // | - - **Air gap**, also **airgap**[([[http://​books.google.com/​books?​isbn=9780471777700|John R. Brauer, Magnetic Actuators and Sensors, John Wiley & Sons, 2006, ISBN 9780471777700]])] or **air-gap**[([[http://​books.google.com/​books?​isbn=9780080522043|Austin Hughes, Electric Motors and Drives: Fundamentals,​ Types and Applications,​ 3rd edition, Newnes, 2005, ISBN 9780080522043]])] - is a [[non-magnetic]] part of a [[magnetic circuit]]. It is usually connected magnetically in series with the rest of the circuit, so that a substantial part of the magnetic flux flows through the gap. - - Depending on application,​ air gap may be filled with a [[non-magnetic material]] such as gas, water, vacuum, plastic, wood etc. and not necessarily just with air.[([[http://​www.appliedpumps.co.uk/​downloads/​MULTIGO.pdf|Multigo Vertical Centrifugal Multistage Pumps, datasheet, {accessed 16 Nov 2012}]])][([[http://​www.google.com/​patents/​US4030058|Delmar R. Riffe, Richard D. Olson, David M. Edison, J. Spreadbury, Patent US4030058, Inductive coupler, 1977]])] - - An air gap is a practically unavoidable part of any magnetic circuit in which there is a relative movement between different parts (e.g. in [[motor|motors]],​ [[generator|generators]],​ [[relay|relays]],​ etc). - - Due to increased [[reluctance]] of an air gap the [[magnetic flux|flux]] spreads into the surrounding medium causing the [[flux fringing]] effect. It is generally an unwanted phenomenon which usually increases [[proximity loss|proximity]] and [[eddy current loss]] in conductors located in the vicinity of the air gap. - - <​WRAP>​ - - Diagram of an air gap in a [[magnetic circuit]] \\ - [[/file/Air gap diagram.png|{{/​Air gap diagram.png}}]]\\ ​ - {{page>​insert/​by_SZ}} - ​ - - "Air gap" can be made by inserting non-magnetic spacers (circle shows "​gap"​ between the core parts) \\ - [[/​file/​Gapped planar transformers Magnetica.jpg|{{/​Gapped planar transformers Magnetica.jpg}}]]\\ ​ - {{page>​insert/​by_SZ}} - ​ - <​WRAP clear>​ - - ===== Influence on B-H loop ===== - - - Influence of air gap on the shape of [[B-H loop]] for a [[cut core]] \\ - [[/file/Air gap in BH loop.png|{{/​Air gap in BH loop.png}}]]\\ ​ - {{page>​insert/​by_SZ}} - ​ - - The [[B-H loop]] of a magnetic circuit is affected by the presence of an air gap. Permeability of non-magnetic material is low and therefore it requires greater values of $H$ to obtain the same value of $B$ as compared with [[magnetically soft materials]]. With the introduction of an air gap the B-H loop of a [[magnetic circuit]] gets [[shearing of B-H loop|"​sheared"​]] (slanted), hence the value of its slope proportional to the [[effective permeability]] is reduced. The amount of "​shearing"​ is proportional to the length of the air gap - the larger the air gap the lower the slope. For [[air core]] coil (no magnetic material present) the B-H characteristics become by definition the same as for the non-magnetic material encircled by the winding (e.g. air). - - - Changes of [[effective permeability]] and linearisation of the B-H loops caused by increasing air gap - [[/​file/​influence_of_air_gap_magnetica.png|{{/​influence_of_air_gap_magnetica.png}}]] ​ - {{page>​insert/​by_SZ}} - ​ - - Conversely, if no air gap is present then the slope becomes as steep as possible, and the B-H loop will represent the closest approximation of the characteristic of the magnetic material (for a given shape of the magnetic circuit). For this reason international standards defining [[magnetic measurement|magnetic measurements]] specify procedures to ensure that the influence of non-magnetic parts of a magnetic circuit remain within negligible levels. This can be achieved for instance by careful [[polishing]] or [[lapping]] of the flat faces, in order to reduce the surface roughness and the amount of space between the magnetic surfaces. - [(SST>​International standard, IEC 60404-3, Magnetic materials - Part 3: Methods of measurement of the magnetic properties of magnetic sheet and strip by means of a single sheet tester)] - - ===== Importance of air gap in practical applications ===== - - - Air gap between [[lamination|laminations]] of a [[rotor]] and [[stator]] of an [[induction motor]] \\ - [[/file/Air gap in induction motor laminations.jpg|{{/​Air gap in induction motor laminations.jpg}}]]\\ ​ - {{page>​insert/​by_SZ}} - ​ - - The air gap can take different form, shape and size depending on the type of magnetic circuit and its shape. In some circuits it might be actually an integral part ensuring correct performance of the device, but in other cases it should be as small as possible. Such requirements will be determined by the operating principle, performance,​ size, efficiency, and many other technological factors. - - ==== Rotating machines ==== - In [[rotating machine|rotating machines]] the air gap is usually unwanted yet unavoidable due to the necessity of physical movement required between the [[stator]] and the [[rotor]]. The smallest practical air gap for industrial machines is around 0.2 mm.[([[http://​books.google.com/​books?​isbn=9780470695166|Juha Pyrhonen, Tapani Jokinen, Valeria Hrabovcova, Design of rotating electrical machines, Wiley, 2008, ISBN 978-0-470-69516-6,​ p. 298]])] - But with larger machines there are greater dimensional tolerances and the gap is sized accordingly to the diameter of the rotor to be at the order of 0.1% of the machine diameter. - - An air gap increases the value of magnetising current and lowers the achievable [[flux density]].[([[http://​books.google.com/​books?​isbn=9780750647182|Austin Hughes, Electric motors and drives - fundamentals,​ types and applications,​ 3rd edition, Newnes, 2006, ISBN 978-0-7506-4718-2,​ p. 197]])] - - In rotating machines it may lead to increased [[magnetic loss]] on the surface of the rotor due to increased [[space harmonic|space harmonics]]. Thin laminations are thus required to reduce the effect of eddy currents in the parts of the motor which are exposed to AC flux.[([[http://​books.google.com/​books?​isbn=9780070669215|S.K. Bhattacharya,​ Electrical Machines, 3rd edition, McGraw-Hill,​ 2009, ISBN 978-0-07-066921-5,​ p. 74]])] - - However, there are also special motors with oversized air gap required for non-magnetic reasons (electrical isolation, access to other parts, etc.)[([[https://​dokumente.unibw.de/​pub/​bscw.cgi/​1104778|Dieter Gerling, Design of an Induction Motor with Multilayer Rotor Structure and Large Gap, Proceedings of the International Conference on Electrical Machines (ICEM), 2000, Vol. 1, Helsinki, Finland, p. 458]])] - - - The air gap in this prototype of a [[linear motor]] is filled partly with [[Tufnol]] \\ - [[/​file/​linear_motor_magnetica.jpg|{{/​linear_motor_magnetica.jpg}}]]\\ ​ - {{page>​insert/​by_SZ}} - ​ - - ==== Linear motors ==== - The cylindrical shapes of rotating machines can be manufactured with tighter tolerances than it is the case for instance for [[linear motor|linear motors]]. As a consequence the linear machines must operate with larger air gaps, which might impact on their [[efficiency]].[([[http://​books.google.com/​books?​isbn=0824741056|Hamid A. Toliyat, Gerald B. Kliman, Handbook of electric motors, 2nd edition, CRC Press, 2004, ISBN 0-8247-4105-6,​ p. 47]])] - - Trains using magnetic levitation technology are propelled by using the principle of linear motors. The air gap between the train suspension and the tracks can be as large as 13 mm for [[electromagnetic suspension]] (Germany) or 102 mm for [[electrodynamic suspension]] (Japan).[([[http://​books.google.com/​books?​isbn=9780754648543|Vassilios A. Profillidis,​ Railway Management And Engineering,​ 3rd edition, Ashgate Publishing, 2006, ISBN 978-0-7546-4854-3,​ p. 33]])] - - For structural reasons the gap can be filled partly with air and partly with a solid non-magnetic material (see photo). - - ==== Gapped and air-cored inductors ==== - - - [[Short-circuit]] current limiting [[air-cored choke]] rated at 1 [[kA]] ​ - [[/​file/​short-circuit_current_limiting_choke.jpg|{{/​short-circuit_current_limiting_choke.jpg}}]] - <​sup>//​by Stahlkocher,​ [[http://​creativecommons.org/​licenses/​by-sa/​3.0/​|CC-BY-SA-3.0]]//​ - ​ - - === Energy storing inductors === - - Air gaps are an integral part of [[gapped inductor|gapped inductors]]. The gap reduces [[effective permeability]] of a given [[magnetic circuit]] and allows storing much greater energy before [[magnetic saturation|saturation]] is reached. Increasing the gap reduces the [[inductance]],​ so the winding must have more turns to compensate accordingly.[(Goldman>​[[http://​books.google.com/​books?​isbn=0792375874|Alex Goldman, Magnetic components for power electronics,​ Kluwer Academic Publishers, 2002, ISBN 0-7923-7587-4,​ p. 116]])] - - For a given size of inductor the amount of stored energy versus applied air gap can be represented by a [[Hanna curve]].[(Goldman)] - - - Electronic [[choke]] with large air gap (comparable to the length of the ferrite rod)  \\ - [[/​file/​choke_magnetica.jpg|{{/​choke_magnetica.jpg}}]]\\ ​ - {{page>​insert/​by_SZ}} - ​ - - If operation with high currents is required then the air gap might be very large, so that the [[magnetic circuit]] is quite "​open"​. For instance, a common design for electronic [[choke|chokes]] is to place a winding on a magnetic rod. The [[magnetic field line|magnetic field lines]] must close through the surrounding air (outside of the winding), so the length of the air gap is comparable with the length of the rod.[([[http://​www.coilcraft.com/​pdfs/​pcv.pdf|Coilcraft,​ PCV-0 Series, Power chokes - vertical mount, Document 135-1, 05/01/2012, {accessed 20 Nov 2012}]])] - - In some cases the currents are so high that it is very difficult or cost prohibitive to design the inductor with a magnetic core. In such case a so-called "[[air core]]"​ is used, where the windings are supported by a [[non-magnetic]] structure, and the whole magnetic circuit is effectively one big air gap. - - In order to reduce the [[flux fringing]] effect and the losses associated with it, in some inductors the gap is distributed into many smaller gaps.[([[http://​www.google.co.uk/​patents/​US7573362|Clifford G. Thiel, Darin Driessen, Debabrata Pal, Frank Feng, Patent US7573362, High current, multiple air gap, conduction cooled, stacked lamination inductor, 2007]])] - - The [[distributed air gap|distribution of air gap]] can be also extended even further. There are magnetic materials, which are made from small particles (mostly based on [[powder iron]], [[sendust]] or [[moly permalloy powder]]) bound together in such a way as to contain certain percentage of non-magnetic volume in them. The resultant [[effective permeability]] is much lower, but the air gap is uniformly distributed throughout the whole material.[([[http://​books.google.com/​books?​isbn=9780470714539|Marian K. Kazimierczuk,​ High-Frequency Magnetic Components, John Wiley & Sons, 2011, ISBN 9780470714539,​ p. 67]])] - The fringing effect and leakage flux is greatly reduced, which is especially important for high-frequency applications. Such cores are usually more expensive (either in initial production or further [[coil winding]]) than alternative technologies with a single gap. - - === Variable and signal inductors === - Air gap is frequently used as means of [[tuning]], or adjusting inductance to the required value. The variation can be done just once, for instance with a fixed shim introduced between parts of the core to create an air gap. But in some cases the variation must be carried out more frequently, or even cyclically. An important phenomena which necessitates tuning of an LC circuit, is to either achieve the [[resonance]] point (e.g. signal transmission through [[electromagnetic wave|electromagnetic waves]]) or to be as far as possible from it (e.g. for filtering reasons). ​ - - LC resonance and tuning is very important for many electromagnetic circuits, ranging from millimetre-sized low-power high-frequency signal transmission[([[http://​www.google.co.uk/​patents/​US6005467|Igor Abramov, Trimmable inductor, Patent US6005467, 1999]])], to high-power devices which work with parts of electricity grid (several kilometres long), as is the case for instance for [[Peterson coil]].[([[http://​books.google.com/​books?​isbn=9783527407590|Juergen Schlabbach, Karl-Heinz Rofalski, Power System Engineering:​ Planning, Design, and Operation of Power Systems and Equipment, John Wiley & Sons, 2008, ISBN 978-3-527-40759-0,​ p. 282]])] - - - Air gap in [[relay]] between the movable [[armature]] and the [[core]] (top right corner) \\ - [[/​file/​relay_side.jpg|{{/​relay_side.jpg}}]]\\ ​ - <​sup>//​by R. Ruizo, S. Zurek, [[http://​creativecommons.org/​licenses/​by-sa/​3.0/​|CC-BY-SA-3.0]]//​ - ​ - - Completely air-cored inductors can also be employed in radio frequencies,​ where values of inductance are low, and linearity and stability is more important than other factors.[([[http://​commons.wikimedia.org/​wiki/​File:​Inductor_radio_%28crystal%29.JPG|Image of air-cored radio inductor, Wikimedia Commons, {accessed 20 Nov 2012}]])] - - ==== Relays ==== - - In [[relay|relays]] the air gap is usually an integral part, as it facilitates the movement between the fixed parts (e.g. [[winding]] and [[magnetic core]]) and the active [[armature]],​ which mechanically drives the main electrical contacts to be connected or disconnected. ​ - - In relays, the length of the gap is a compromise between the required mechanical force, mechanical movement, and the available excitation. There are numerous constructions which allow optimisation of these different factors, according to requirement of specific application[([[http://​www.google.co.uk/​patents/​US5150090|Takashi Miura, Yoshiaki Kamiya, Electromagnetic polar relay, Patent US5150090, 1992]])] [([[http://​www.google.com/​patents/​US3553612|John S. Zimmer, Miniature relay with double air gap magnetic circuit, Patent US3553612, 1971]])] including such that the movable armature is magnetised.[([[http://​www.google.com/​patents/​EP0361392B1|Masami Hori, Norimasa Kaji, Hiromi Nishimura, Yoshinobu Okada, Polarized electromagnetic relay, Patent EP0361392B1,​ 1994]])] - - ==== Solenoids and linear actuators ==== - - [[Solenoid|Solenoids]] and [[linear actuator|linear actuators]] work similarly to [[relay|relays]]. The magnetic circuit comprises [[yoke]] or [[core]] and a movable armature, usually called [[plunger]]. - - - [[/​Electromagnetic actuator]] ([[/​solenoid]]) \\ - [[/​file/​solenoid_upright.jpg|{{/​solenoid_upright.jpg}}]]\\ ​ - <​sup>//​by R. Goossens, Public Domain//​ - ​ - - In the simplest form a plunger is being pulled into the space inside the coil. However, as with relays, there are multiple different designs and approaches, including those with a rotating armature, whose construction becomes therefore close to electric motors.[([[https://​www.google.com/​patents/​US4214178|Richard E. Tippner, Rotating electromagnetic solenoid motor, Patent US4214178, 1980]])] - - ==== Transformers ==== - - In classical [[transformer|transformers]] air gap is usually avoided. The role of transformer is to deliver the energy from the primary winding to the secondary winding instantaneously,​ without the need for energy storage. - - - Laminations in larger transformers are overlapped to distribute the air gap[([[http://​www.google.co.uk/​patents/​US4445104|Kou C. Lin, Charles E. Burkhardt, Compact step-lap magnetic core, US Patent US4445104, 1980]])] \\ - [[/​file/​diagonally-cut_laminations_patent.png|{{/​diagonally-cut_laminations_patent.png}}]]\\ ​ - <​sup>//​by United States Patent and Trademark Office, Public Domain//​ - ​ - - Any air gap in the [[magnetic core]] increases [[leakage inductance]] and stores additional energy, which needs to be cyclically transferred or dissipated. All these factors impact [[efficiency]] of energy transformation. ​ - - The air gap lowers the total inductance of the primary winding and causes an increase in [[apparent power]] - [(Marketos>​P. Marketos, T. Meydan, D. Snell, Performance of single-phase transformer cores assembled from consolidated stacks of electrical steels, [[Journal of Magnetism and Magnetic Materials]],​ Vol. 254-255, 2003, p. 612-614)] ​ - through the increase of magnetising current.[([[http://​books.google.com/​books?​isbn=9780070483156|Bharat Heavy Electricals Limited , Transformers,​ 2nd edition, Tata McGraw Hill Publishing Company Ltd, p. 100, ISBN 978-0-07-048315-6]])] - - If a transformer core is made of laminations,​ then they are cut and assembled in a way as to stagger the gaps, to minimise any localised effects.[(Marketos)] For large power transformers the laminations are cut in a specific way to accommodate such overlapping. Similarly for smaller [[E-I]] or [[U-I]] cores the assembly can be carried out such that the gaps are staggered every other lamination. - - Similar practice is employed with cores wound from [[amorphous ribbon]] [([[http://​www.google.com/​patents/​US6668444|Dung A. Ngo, Kimberly M. Borgmeier, Method for manufacturing a wound, multi-cored amorphous metal transformer core, Patent US6668444, 2003]])] or made in the [[Unicore]] technology.[([[http://​www.vptechnotron.cz/​AMT_unicore_jadra_en.aspx|Unicore cores, ArcelorMittal,​ {accessed 19 Aug 2014}]])] - - === Current and voltage transformers === - Current and voltage transformers of the common design follow the same principles as regular [[transformer|transformers]] - the air gap is to be minimised as it limits the measurement accuracy of both amplitude and phase. - - However, special designs (for instance used in [[protection]]) might include air gap to lower the effective permeability and widen the operating range of primary current ([[linear current transformer|linear CTs]], [[transactors]]),​ but also to reduce the [[remanence]] ([[anti-remanence current transformer|anti-remanence CTs]]), tune [[capacitive voltage transformer|capacitive voltage transformers]],​ etc. [([[http://​www.cigre.nl/​media/​40320/​06_current-___voltage_transformers.pdf|Network Protection & Automation Guide, Alstom Grid, 2011, {accessed 19 Aug 2014}]])] - - - A [[gapped core]] is used in [[flyback transformer|flyback transformers]] \\ - [[/​file/​etd_core_gapped_magnetica.jpg|{{/​etd_core_gapped_magnetica.jpg}}]]\\ ​ - {{page>​insert/​by_SZ}} - ​ - - === Flyback transformers === - - The operating principle of [[flyback transformer|flyback transformers]] used in [[switched-mode power supply|switched-mode power supplies]] is more akin to energy-storing [[inductor|inductors]] than to classical transformers. For this reason should be more correctly referred to as [[coupled inductor]]. ​ - [([[http://​books.google.com/​books?​isbn=0123820375|Muhammad Rashid (editor), Power Electronics Handbook: Devices, Circuits, and Applications,​ Butterworth-Heinemann,​ 2011, ISBN 978-0-12-382036-5,​ p. 39]])] ​ - All energy must be first stored in the magnetic field in the first part of the cycle, and only passed to the secondary winding in the second part of the cycle. The energy storing capability is usually achieved by means of an air gap. - - However, the air gap also increases [[leakage inductance]],​ which generates an unwanted [[back EMF]] at the instant of switch off, and this voltage can be high enough to damage the switching transistor if not designed correctly. So the construction of a flyback transformer must take into account a compromise between the required energy storage and any voltage spikes. Rapidly changing currents and high-frequency magnetic field "​leaking"​ from the air gaps might cause problems with [[electromagnetic compatibility|electromagnetic compatibility (EMC)]]. Low-energy supplies might not need any EMC measures, higher energy might require filters in form of [[bead ferrite|bead ferrites]], but at for the highest energies a conductive ([[flux band]]) or magnetic shields can be used. [([[http://​www.dianyuan.com/​bbs/​u/​66/​585911214665446.pdf|Power Integrations Inc., TOPSwitch (R) flyback transformer construction guide, Application note AN-18, July 1996, {accessed 28 Nov 2012}]])] - - ==== Current sensors ==== - - - Current sensor might employ a [[/gapped core]] with a [[Hall-effect]] sensing element \\ - [[/​file/​open-loop_sensing_technique_magnetica.png|{{/​open-loop_sensing_technique_magnetica.png}}]]\\ ​ - {{page>​insert/​by_SZ}} - ​ - - Multiple approaches are used in [[current sensor|current sensors]]. The importance and influence of the gap depends on the given technology.[([[http://​www.lem.com/​hq/​en/​content/​view/​161/​153/​|Open Loop Hall Effect, Hall effect current transducers (O/L), LEM, {accessed 11 Dec 2012}]])] [([[http://​www.telcon.co.uk/​Product_Brochure.html|Hall effect current sensors, Current transformers & Toroidal cores, Telcon, {accessed 11 Dec 2012}]])][([[http://​sensing.honeywell.com/​products/​current_sensors?​Ne=2308&​N=3027|Current Sensors Line Guide, Honeywell, June 2008, {accessed 11 Dec 2012}]])] - - A common approach used by sensor manufacturers is the "​[[open loop sensing]]"​ principle. a magnetic core as means of concentrating the magnetic flux, which is forced to flow through the air gap. A sensor of flux density $B$ (or magnetic field strength $H$) is placed in the gap. Since the gap [[non-magnetic]] (and hence there is a linear response) the measured value of $B$ or $H$ can be related to the value of the primary current. - - Another common approach is the "​[[closed loop sensing]]"​. This technique also uses a magnetic core, and an air gap with a sensor. ​ - - However, there is a compensating winding on the core and the sensor is used as a zero detector - for a condition where the magnetic field from the primary current is compensated by the current in the winding located on the core. The value of the compensating current is proportional and hence a measure of the primary current. Closed-loop technique offers better linearity and accuracy than the open loop, but it is more costly to implement. ​ - - === Rogowski coils === - - [[Rogowski coil]] is wound on a non-magnetic former - it is therefore an [[air-cored transformer]],​ so that its whole magnetic circuit consist of an air gap. Because the core is [[non-magnetic]] then magnetic saturation does not occur and very high [[alternating current|alternating currents]] (hundreds of kA) can be measured with high accuracy. - - - Typical [[Rogowski coil]] is wound on a flexible [[non-magnetic]] rod \\ - [[/​file/​inside_of_rogowski_coil_magnetica.jpg|{{/​inside_of_rogowski_coil_magnetica.jpg}}]]\\ ​ - {{page>​insert/​by_SZ}} - ​ - - For accurate measurements the Rogowski coil must fully enclose the current to be measured. But the coil must also open to enable the coil to be closed around a conductor. Therefore, there is a gap between the meeting ends, and this introduces a measurement error. There are various ways of dealing with this gap, for instance overwinding of the coil ends or positioning them in a specific way. [([[http://​www.google.com/​patents/​US20120126789|Pierre Turpin, Rogowski current sensor, Patent US20120126789,​ 2012]])] - - Due to low permeability of the non-magnetic core the sensitivity does not allow to measure very low currents, and coils with "high sensitivity"​ can typically measure currents of around 300 mA even if amplification and filtering is employed. - [([[http://​www.powertekuk.com/​ultramini.htm|CWT Ultra miniature wideband current probe for ac current measurement,​ Powertek, {accessed 19 Aug 2014}]])] [([[http://​www.powertekuk.com/​cwt_ultramini_ptk.pdf|Powertek,​ CWT Ultra mini data sheet, {accessed 19 Aug 2014}]])] For this reason for low currents Rogowski coils cannot compete with ordinary [[current transformer|current transformers]]. ​ - - - [[Induction heating]] of a metal bar \\ - [[file/​Induction heating of bar Commons.jpg|{{Induction heating of bar Commons.jpg}}]] \\ - //<​sup>​by Vector1 nz, [[https://​creativecommons.org/​licenses/​by-sa/​3.0/​|CC-BY-SA-3.0]]//​ - ​ - - ==== Induction heating ==== - - Induction heating employs a [[coil]] (or set of coils) which generates alternating magnetic field, usually at kHz frequency. The coil does not need to directly touch the heated object, because the electromagnetic field induces enough [[power loss]] (e.g. through [[eddy currents]]) in the object that it is possible even to achieve melting temperatures of metals. ​ - - Because of the level of current the coils are commonly water cooled from inside. Apart from the heated object, the coils often do not have any magnetic core. Popularity of the so-called [[flux concentrator|flux concentrators]] [(IH_handbook>​[[http://​books.google.com/​books?​isbn=0824708482|Valery Rudnev, Don Loveless, Raymond Cook, Micah Black, Handbook of Induction Heating, Marcel Dekker, 2003, ISBN 0-8247-0848-2,​ p. 364]])] - keeps growing, but applying them to already existing designs can change inductance of the coil, which might require re-tuning of the system for resonating power supplies. [(Ruffini>​R.S. Ruffini, Jr., V.S. Nemkov, Magnetic Field Control and Concentration in Induction Heating coils, Heat Treating, Proceedings of the 16th ASM Heat Treating Society Conference & Exposition, 19-21 March 1996, Cincinatti, Ohio, US, p. 127)] - - The air gap also provides electrical insulation, so that the coil is not short-circuited by the heated object or flux concentrator. [(IH_handbook)] - - ==== Electromagnets ==== - - - Large [[/​electromagnet]] with a 200 mm long air gap \\ - [[/​file/​electromagnet_200mm_by_magneto.jpg|{{/​electromagnet_200mm_by_magneto.jpg}}]]\\ ​ - {{page>​insert/​by_SZ}} - ​ - - A common performance expected from an [[electromagnet]] is to generate magnetic field within a given volume of an air gap. This could be done for a number of tasks, for instance: - * to exert mechanical force on a designed part - this operation is similar to [[electromagnetic actuator|electromagnetic actuators]] - * to exert mechanical force on inclusions or other elements suspended in non-magnetic matter - a principle used in [[magnetic separator|magnetic separators]][([[http://​www.magneto.pl/​en/​54,​magnetic-grate-rmm-3-20-25|Magnetic Grate RMM 3-20-25, The Research and Development Office MAGNETO,. {accessed 8 Jan 2013}]])], recording of shapes on [[magnetic film]][([[http://​www.magneto.pl/​en/​50,​magnetic-field-indicator-mfi-3|Magnetic Field Indicator MFI-3, The Research and Development Office MAGNETO. {accessed 8 Jan 2013}]])] and some medical applications (e.g. guiding particles inside of blood vessels)[([[http://​www.google.com/​patents/​US20060142632|Attila Meretei, Systems and methods for removing plaque from a blood vessel, Patent US20060142632,​ 2004]])] - * to provide magnetic field required for material processing[([[http://​www.2-dm.at/​04_after.html|A. Kozlowski, S. Zurek, R. Rygal, Influence of the number of excitation coils on uniformity of distribution of magnetic flux density in an air gap, 1&2DM Workshop, September 2012, Vienna, Austria]])][([[http://​www.vacuumschmelze.com/​index.php?​id=115&​L=2|Flat (F) loops, VACUUMSCHMELZE GmbH & Co. KG, {accessed 8 Jan 2012}]])] - - ===== Energy stored in air gap ===== - A magnetic circuit behaves like a "​conductor"​ so that the magnetic field can be efficiently guided along desired path. If a high-[[magnetic permeability|permeability]] material is used then very little energy will be stored in the [[magnetic core]]. However, an air gap introduces a discontinuity and due to its low permeability stores significant amount of magnetic energy, as compared to the same volume of magnetic core. - - This energy storing property is utilised for instance in energy storing [[inductor|inductors]] and [[flyback transformer|flyback transformers]],​ in which air gap in a pivotal design parameter. On the one hand, the air gap is used for storing the actual energy, but on the other it changes operating characteristics of the [[B-H curve]] and allows driving the inductor at higher currents hence higher [[magnetic field strength]] thus extending the range before [[magnetic saturation]] occurs. - - For a simple magnetic circuit with a single air gap (see the first image at the top), for which the core is made out of high-permeability material such that $μ_{material} >> μ_0$, with the air gap itself and the flux density in the air gap being uniform, and if the [[flux fringing]] can be neglected, it can be derived that the stored energy is: - [(Hurley>​[[http://​books.google.com/​books?​isbn=9781118544679|W.G. Hurley, W.H. Wolfle, Transformers and Inductors for Power Electronics:​ Theory, Design and Applications,​ John Wiley & Sons, 2013, ISBN 9781118544679,​ example 2.3]])] - - |  <​html><​div style="​font-size:​ 200%;">​ $E \approx \frac{B^2 ⋅ V}{2 ⋅ \mu_0}$  ​ |  (J)  | - - where: $E$ - stored energy (J), $B$ - [[flux density]] in the air gap (T), $V$ - volume of the air gap (m<​sup>​3​),​ $μ_0$ - [[permeability of free space]] (H/m). - - ===== Flux fringing ===== - - - [[Flux fringing]] (red arc) around an air gap in magnetic core  \\ - [[/​file/​fringing_flux_magnetica.png|{{/​fringing_flux_magnetica.png}}]]\\ ​ - {{page>​insert/​by_SZ}} - ​ - - [[Flux fringing]] is caused by the fact that the [[reluctance]] of the concentrated air gap is much greater than that of the core. The flux tries to spread as wide as possible in order to minimise the drop of [[magnetomotive force]] across the air gap. As a result of flux fringing the total reluctance of the circuit is somewhat lower. This has several major effects. - - In energy-storing inductors the inductance is related to the reluctance of the air gap. The fringing lowers the overall reluctance, so that the resulting inductance is somewhat higher. This needs to be taken into account so that the inductance value is appropriate for a given design. There are various [[empirical equation|empirical equations]] suggested in literature for calculating the correction of this effect. - - For instance McLyman suggest the following "​[[flux fringing factor]]"​ ($F$):​[(fluxfringing>​[[http://​books.google.com/​books?​isbn=9780824751159|Colonel William T. McLyman, Transformer and Inductor Design Handbook, CRC Press, 2004, ISBN 9780824751159,​ section "​Fringing flux" in chapter 8]])] - - |  <​html><​div style="​font-size:​ 200%;">​ $F = 1 + \frac{l_{gap}}{\sqrt{A}} ⋅ ln \left( \frac{2 ⋅ l_{window}}{l_{gap}} \right)$  ​ |  (unitless) ​ | - - - where: $F$ - factor by which the inductance is increased (unitless), $l_{gap}$ - length of the air gap (m), $A$ - cross-section area of the core (m<​sup>​2​),​ $l_{window}$ - length of the inside (in the window) of the core leg in which the gap is present (m). - - Another example is when the area of the air gap is scaled according to its length. For instance if the magnetic core cross-section is a rectangle the following calculation can be used: [([[http://​books.google.com/​books?​isbn=1119964911|Marian K. Kazimierczuk,​ High-Frequency Magnetic Components, John Wiley & Sons, 2011, ISBN 9781119964919,​ p. 38]])] - - |  <​html><​div style="​font-size:​ 200%;">​ $F = 1 + \frac{l_{gap} ⋅ (a + b + 2 ⋅ l_{gap})}{a ⋅ b}$  ​ |  (unitless) ​ | - - where: $a$ and $b$ are the lengths of each side of the rectangular cross-section of the magnetic core (m). - - Yet another approximating equation is given by Hurley and Wölfle[([[http://​google.com/​books?​isbn=9781118544679|W.G. Hurley, W.H. Wölfle, Transformers and Inductors for Power Electronics:​ Theory, Design and Applications,​ John Wiley & Sons, 2013, ISBN 9781118544679]])] - - |  <​html><​div style="​font-size:​ 200%;">​ $F = \frac{(a + l_{gap} ) ⋅ (b + l_{gap}) }{a ⋅ b}$  ​ |  (unitless) ​ | - - However, all such equations are only approximate,​ and usually work only under the assumption that the length of the air gap is much smaller than any of the dimensions of the core. - - The second effect is additional [[copper loss]] due to the fact that fringing flux "​bulges away" from the air gap. Usually most of the core window is occupied by [[winding|windings]] and if they are exposed to fast-changing fringing flux (e.g. in [[flyback transformer|flyback transformers]]) this causes additional eddy current losses in the windings.[(fluxfringing)] - - The third effect is that the fringing flux enters the core perpendicularly to the normal flow of magnetic field. In [[soft ferrite|soft ferrites]] this is not a problem. But in [[laminated core|laminated cores]] this flux does not travel along the laminations,​ but enters them perpendicularly to their surface, resulting in a large value of normal component, inducing elevated eddy currents and thus additional [[iron loss]]. A distributed air gap is employed in order to reduce this effect (see next section). - - ===== Distributed air gap ===== - - - Changing one large air gap into several smaller reduces [[flux fringing]] \\ - [[/​file/​distributed_gap_and_flux_fringing_magnetica.png|{{/​distributed_gap_and_flux_fringing_magnetica.png}}]]\\ ​ - {{page>​insert/​by_SZ}} - ​ - - In high-power energy storing inductors the air gaps can be quite large. This would cause for the inductance to differ by unacceptable amount and also the losses would be too large. ​ - - The air gap is therefore "​distributed"​ by introducing several smaller air gaps, whose total length is comparable to one large air gap. This reduces the fringing effect considerably. ​ - - - Air gaps between particles in a [[powder core]] \\ - [[/​file/​fem_of_powder_core_magnetica.png|{{/​fem_of_powder_core_magnetica.png}}]]\\ ​ - {{page>​insert/​by_SZ}} - ​ - - Magnetic cores of high-frequency [[choke|chokes]] can be made from [[powder core|powder cores]]. High-permeability magnetic particles are compressed into a core, but a certain amount of non-magnetic volume is left on purpose. This causes a very good distribution of the resulting air gap over the whole volume of such core. As a result the fringing flux greatly reduced (as compared to a core with a concentrated gap), yet a large amount of energy can be stored. - - In the powder cores the transition into magnetic saturation (when overexcited) is less sharp, which is also an important feature reducing severity of faults in electronic circuits using such solutions. However, such cores are usually more expensive and exhibit different [[magnetic loss]] (e.g. higher than soft ferrites), so magnetic design must take these factors into account. - - ===== References ===== - ~~REFNOTES~~ - - {{tag>​Magnetic_circuits Air_gap Counter}}