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An eddy current brake, also known as an induction brake, electric brake or electric retarder, is a device used to slow or stop a moving object by generating
eddy current Eddy currents (also called Foucault's currents) are loops of electrical current induced within conductors by a changing magnetic field in the conductor according to Faraday's law of induction or by the relative motion of a conductor in a magne ...
s and thus dissipating its
kinetic energy In physics, the kinetic energy of an object is the energy that it possesses due to its motion. It is defined as the work needed to accelerate a body of a given mass from rest to its stated velocity. Having gained this energy during its accele ...
as heat. Unlike friction brakes, where the drag force that stops the moving object is provided by
friction Friction is the force resisting the relative motion of solid surfaces, fluid layers, and material elements sliding against each other. There are several types of friction: *Dry friction is a force that opposes the relative lateral motion of t ...
between two surfaces pressed together, the drag force in an eddy current brake is an electromagnetic force between a
magnet A magnet is a material or object that produces a magnetic field. This magnetic field is invisible but is responsible for the most notable property of a magnet: a force that pulls on other ferromagnetic materials, such as iron, steel, nicke ...
and a nearby
conductive In physics and electrical engineering, a conductor is an object or type of material that allows the flow of charge ( electric current) in one or more directions. Materials made of metal are common electrical conductors. Electric current is ge ...
object in relative motion, due to eddy currents induced in the conductor through
electromagnetic induction Electromagnetic or magnetic induction is the production of an electromotive force (emf) across an electrical conductor in a changing magnetic field. Michael Faraday is generally credited with the discovery of induction in 1831, and James Clerk ...
. A conductive surface moving past a stationary magnet develops circular
electric current An electric current is a stream of charged particles, such as electrons or ions, moving through an electrical conductor or space. It is measured as the net rate of flow of electric charge through a surface or into a control volume. The moving ...
s called
eddy current Eddy currents (also called Foucault's currents) are loops of electrical current induced within conductors by a changing magnetic field in the conductor according to Faraday's law of induction or by the relative motion of a conductor in a magne ...
s induced in it by the
magnetic field A magnetic field is a vector field that describes the magnetic influence on moving electric charges, electric currents, and magnetic materials. A moving charge in a magnetic field experiences a force perpendicular to its own velocity and to ...
, as described by
Faraday's law of induction Faraday's law of induction (briefly, Faraday's law) is a basic law of electromagnetism predicting how a magnetic field will interact with an electric circuit to produce an electromotive force (emf)—a phenomenon known as electromagnetic inducti ...
. By
Lenz's law Lenz's law states that the direction of the electric current induced in a conductor by a changing magnetic field is such that the magnetic field created by the induced current opposes changes in the initial magnetic field. It is named after p ...
, the circulating currents create their own magnetic field that opposes the field of the magnet. Thus the moving conductor experiences a drag force from the magnet that opposes its motion, proportional to its velocity. The
kinetic energy In physics, the kinetic energy of an object is the energy that it possesses due to its motion. It is defined as the work needed to accelerate a body of a given mass from rest to its stated velocity. Having gained this energy during its accele ...
of the moving object is dissipated as
heat In thermodynamics, heat is defined as the form of energy crossing the boundary of a thermodynamic system by virtue of a temperature difference across the boundary. A thermodynamic system does not ''contain'' heat. Nevertheless, the term is al ...
generated by the current flowing through the
electrical resistance The electrical resistance of an object is a measure of its opposition to the flow of electric current. Its reciprocal quantity is , measuring the ease with which an electric current passes. Electrical resistance shares some conceptual parallel ...
of the conductor. In an eddy current brake the magnetic field may be created by a
permanent magnet A magnet is a material or object that produces a magnetic field. This magnetic field is invisible but is responsible for the most notable property of a magnet: a force that pulls on other ferromagnetic materials, such as iron, steel, nickel, ...
or an
electromagnet An electromagnet is a type of magnet in which the magnetic field is produced by an electric current. Electromagnets usually consist of wire wound into a coil. A current through the wire creates a magnetic field which is concentrated in the ...
. With an electromagnet system, the braking force can be turned on and off (or varied) by varying the
electric current An electric current is a stream of charged particles, such as electrons or ions, moving through an electrical conductor or space. It is measured as the net rate of flow of electric charge through a surface or into a control volume. The moving ...
in the electromagnet windings. Another advantage is that since the brake does not work by
friction Friction is the force resisting the relative motion of solid surfaces, fluid layers, and material elements sliding against each other. There are several types of friction: *Dry friction is a force that opposes the relative lateral motion of t ...
, there are no
brake shoe A brake shoe is the part of a braking system which carries the brake lining in the drum brakes used on automobiles, or the brake block in train brakes and bicycle brakes. A device that is put on a track to slow down railroad cars is also called b ...
surfaces to
wear Wear is the damaging, gradual removal or deformation of material at solid surfaces. Causes of wear can be mechanical (e.g., erosion) or chemical (e.g., corrosion). The study of wear and related processes is referred to as tribology. Wear in ...
, eliminating replacement as with friction brakes. A disadvantage is that since the braking force is proportional to the relative velocity of the brake, the brake has ''no holding force'' when the moving object is stationary, as provided by
static friction Friction is the force resisting the relative motion of solid surfaces, fluid layers, and material elements sliding against each other. There are several types of friction: *Dry friction is a force that opposes the relative lateral motion of t ...
in a friction brake, hence in vehicles it must be supplemented by a friction brake. Eddy current brakes are used to slow high-speed trains and
roller coaster A roller coaster, or rollercoaster, is a type of amusement ride that employs a form of elevated railroad track designed with tight turns, steep slopes, and sometimes inversions. Passengers ride along the track in open cars, and the rides are ...
s, as a complement for friction brakes in
semi-trailer trucks A semi-trailer truck, also known as a semitruck, (or semi, eighteen-wheeler, big rig, tractor-trailer or, by synecdoche, a semitrailer) is the combination of a tractor unit and one or more semi-trailers to carry freight. A semi-trailer a ...
to help prevent brake wear and overheating, to stop powered tools quickly when power is turned off, and in electric meters used by electric utilities.


Mechanism and principle

An eddy current brake consists of a conductive piece of metal, either a straight bar or a disk, which moves through the magnetic field of a magnet, either a
permanent magnet A magnet is a material or object that produces a magnetic field. This magnetic field is invisible but is responsible for the most notable property of a magnet: a force that pulls on other ferromagnetic materials, such as iron, steel, nickel, ...
or an
electromagnet An electromagnet is a type of magnet in which the magnetic field is produced by an electric current. Electromagnets usually consist of wire wound into a coil. A current through the wire creates a magnetic field which is concentrated in the ...
. When it moves past the stationary
magnet A magnet is a material or object that produces a magnetic field. This magnetic field is invisible but is responsible for the most notable property of a magnet: a force that pulls on other ferromagnetic materials, such as iron, steel, nicke ...
, the magnet exerts a drag force on the metal which opposes its motion, due to circular
electric current An electric current is a stream of charged particles, such as electrons or ions, moving through an electrical conductor or space. It is measured as the net rate of flow of electric charge through a surface or into a control volume. The moving ...
s called
eddy current Eddy currents (also called Foucault's currents) are loops of electrical current induced within conductors by a changing magnetic field in the conductor according to Faraday's law of induction or by the relative motion of a conductor in a magne ...
s induced in the metal by the
magnetic field A magnetic field is a vector field that describes the magnetic influence on moving electric charges, electric currents, and magnetic materials. A moving charge in a magnetic field experiences a force perpendicular to its own velocity and to ...
. Note that the conductive sheet is not made of
ferromagnetic Ferromagnetism is a property of certain materials (such as iron) which results in a large observed magnetic permeability, and in many cases a large magnetic coercivity allowing the material to form a permanent magnet. Ferromagnetic materials ...
metal such as iron or steel; usually copper or aluminum are used, which are not attracted to a magnet. The brake does not work by the simple attraction of a ferromagnetic metal to the magnet. See the diagram at right. It shows a metal sheet ''(C)'' moving to the right under a magnet. The magnetic field ''(B, green arrows)'' of the magnet's north pole ''N'' passes down through the sheet. Since the metal is moving, the
magnetic flux In physics, specifically electromagnetism, the magnetic flux through a surface is the surface integral of the normal component of the magnetic field B over that surface. It is usually denoted or . The SI unit of magnetic flux is the weber ...
through the sheet is changing. At the part of the sheet under the leading edge of the magnet ''(left side)'' the magnetic field through the sheet is increasing as it gets nearer the magnet. From
Faraday's law of induction Faraday's law of induction (briefly, Faraday's law) is a basic law of electromagnetism predicting how a magnetic field will interact with an electric circuit to produce an electromotive force (emf)—a phenomenon known as electromagnetic inducti ...
, this field induces a counterclockwise flow of electric current ''(I, red)'', in the sheet. This is the eddy current. In contrast, at the trailing edge of the magnet ''(right side)'' the magnetic field through the sheet is decreasing, inducing a clockwise eddy current in the sheet. Another way to understand the action is to see that the free
charge carrier In physics, a charge carrier is a particle or quasiparticle that is free to move, carrying an electric charge, especially the particles that carry electric charges in electrical conductors. Examples are electrons, ions and holes. The term i ...
s (
electron The electron ( or ) is a subatomic particle with a negative one elementary electric charge. Electrons belong to the first generation of the lepton particle family, and are generally thought to be elementary particles because they have no ...
s) in the metal sheet are moving to the right, so the magnetic field exerts a sideways force on them due to the
Lorentz force In physics (specifically in electromagnetism) the Lorentz force (or electromagnetic force) is the combination of electric and magnetic force on a point charge due to electromagnetic fields. A particle of charge moving with a velocity in an elect ...
. Since the velocity ''v'' of the charges is to the right and the magnetic field ''B'' is directed down, from the
right hand rule In mathematics and physics, the right-hand rule is a common mnemonic for understanding orientation of axes in three-dimensional space. It is also a convenient method for quickly finding the direction of a cross-product of 2 vectors. Most of ...
the Lorentz force on positive charges ''qv''×''B'' is toward the rear in the diagram (to the left when facing in the direction of motion of the sheet) This causes a current ''I'' toward the rear under the magnet, which circles around through parts of the sheet outside the magnetic field in two currents, clockwise to the right and counterclockwise to the left, to the front of the magnet again. The mobile
charge carrier In physics, a charge carrier is a particle or quasiparticle that is free to move, carrying an electric charge, especially the particles that carry electric charges in electrical conductors. Examples are electrons, ions and holes. The term i ...
s in the metal, the
electron The electron ( or ) is a subatomic particle with a negative one elementary electric charge. Electrons belong to the first generation of the lepton particle family, and are generally thought to be elementary particles because they have no ...
s, actually have a negative charge, so their motion is opposite in direction to the
conventional current An electric current is a stream of charged particles, such as electrons or ions, moving through an electrical conductor or space. It is measured as the net rate of flow of electric charge through a surface or into a control volume. The moving ...
shown. As described by Ampere's circuital law, each of these circular currents creates a counter magnetic field (''blue arrows''), which in accordance with
Lenz's law Lenz's law states that the direction of the electric current induced in a conductor by a changing magnetic field is such that the magnetic field created by the induced current opposes changes in the initial magnetic field. It is named after p ...
opposes the change in magnetic field, causing a drag force on the sheet which is the braking force exerted by the brake. At the leading edge of the magnet ''(left side)'' by the
right hand rule In mathematics and physics, the right-hand rule is a common mnemonic for understanding orientation of axes in three-dimensional space. It is also a convenient method for quickly finding the direction of a cross-product of 2 vectors. Most of ...
the counterclockwise current creates a magnetic field pointed up, opposing the magnet's field, causing a repulsive force between the sheet and the leading edge of the magnet. In contrast, at the trailing edge ''(right side)'', the clockwise current causes a magnetic field pointed down, in the same direction as the magnet's field, creating an attractive force between the sheet and the trailing edge of the magnet. Both of these forces oppose the motion of the sheet. The
kinetic energy In physics, the kinetic energy of an object is the energy that it possesses due to its motion. It is defined as the work needed to accelerate a body of a given mass from rest to its stated velocity. Having gained this energy during its accele ...
which is consumed overcoming this drag force is dissipated as heat by the currents flowing through the resistance of the metal, so the metal gets warm under the magnet. The braking force of an eddy current brake is exactly proportional to the velocity ''V'', so it acts similar to viscous friction in a liquid. The braking force decreases as the velocity decreases. When the conductive sheet is stationary, the magnetic field through each part of it is constant, not changing with time, so no eddy currents are induced, and there is no force between the magnet and the conductor. Thus an eddy current brake has no holding force. Eddy current brakes come in two geometries: *In a ''linear'' eddy current brake, the conductive piece is a straight rail or track that the magnet moves along. *In a ''circular'', ''disk'' or ''rotary'' eddy current brake, the conductor is a flat disk rotor that turns between the poles of the magnet. The physical working principle is the same for both.


Disk eddy current brakes

Disk electromagnetic brakes are used on vehicles such as trains, and power tools such as
circular saw A circular saw is a power- saw using a toothed or abrasive disc or blade to cut different materials using a rotary motion spinning around an arbor. A hole saw and ring saw also use a rotary motion but are different from a circular saw. '' ...
s, to stop the blade quickly when the power is turned off. A disk eddy current brake consists of a conductive non-
ferromagnetic Ferromagnetism is a property of certain materials (such as iron) which results in a large observed magnetic permeability, and in many cases a large magnetic coercivity allowing the material to form a permanent magnet. Ferromagnetic materials ...
metal disc ( rotor) attached to the axle of the vehicle's wheel, with an
electromagnet An electromagnet is a type of magnet in which the magnetic field is produced by an electric current. Electromagnets usually consist of wire wound into a coil. A current through the wire creates a magnetic field which is concentrated in the ...
located with its poles on each side of the disk, so the magnetic field passes through the disk. The electromagnet allows the braking force to be varied. When no current is passed through the electromagnet's winding, there is no braking force. When the driver steps on the brake pedal, current is passed through the electromagnet windings, creating a magnetic field. The greater the current in the winding, the greater the eddy currents and the stronger the braking force. Power tool brakes use
permanent magnet A magnet is a material or object that produces a magnetic field. This magnetic field is invisible but is responsible for the most notable property of a magnet: a force that pulls on other ferromagnetic materials, such as iron, steel, nickel, ...
s, which are moved adjacent to the disk by a linkage when the power is turned off. The kinetic energy of the vehicle's motion is dissipated in
Joule heating Joule heating, also known as resistive, resistance, or Ohmic heating, is the process by which the passage of an electric current through a conductor produces heat. Joule's first law (also just Joule's law), also known in countries of former US ...
by the eddy currents passing through the disk's resistance, so like conventional friction disk brakes, the disk becomes hot. Unlike in the linear brake below, the metal of the disk passes repeatedly through the magnetic field, so disk eddy current brakes get hotter than linear eddy current brakes. Japanese
Shinkansen The , colloquially known in English as the bullet train, is a network of high-speed railway lines in Japan. Initially, it was built to connect distant Japanese regions with Tokyo, the capital, to aid economic growth and development. Beyond ...
trains had employed circular eddy current brake system on trailer cars since
100 Series Shinkansen The was a Japanese Shinkansen high-speed train type which operated between 1985 and 2012 on the Tokaido Shinkansen and Sanyo Shinkansen high-speed lines. They were introduced after the 200 series trains, but their numbering is such because in ...
. The N700 Series Shinkansen abandoned eddy current brakes in favour of
regenerative brake Regenerative braking is an energy recovery mechanism that slows down a moving vehicle or object by converting its kinetic energy into a form that can be either used immediately or stored until needed. In this mechanism, the electric traction ...
s, since 14 of the 16 cars in the trainset used electric motors. In regenerative brakes, the motor that drives the wheel is used as a generator to produce electric current, which can be used to charge a battery, enabling the energy to be reused.


Dynamometer eddy current absorbers

Most chassis
dynamometer A dynamometer or "dyno" for short, is a device for simultaneously measuring the torque and rotational speed ( RPM) of an engine, motor or other rotating prime mover so that its instantaneous power may be calculated, and usually displayed by t ...
s and many engine dynos use an eddy-current brake as a means of providing an electrically adjustable load on the engine. They are often referred to as an "absorber" in such applications. Inexpensive air-cooled versions are typically used on chassis dynamometers, where their inherently high-inertia steel rotors are an asset rather than a liability. Conversely, performance engine dynamometers tend to utilize low-inertia, high RPM, liquid-cooled configurations. Downsides of eddy-current absorbers in such applications, compared to expensive AC-motor based dynamometers, is their inability to provide stall-speed (zero RPM) loading or to motor the engine - for starting or motoring (downhill simulation). Since they do not actually absorb energy, provisions to transfer their radiated heat out of the test cell area must be provided. Either a high-volume air-ventilation or water-to-air heat exchanger adds additional cost and complexity. In contrast, high-end AC-motor dynamometers cleanly return the engine's power to the grid.


Linear eddy current brakes

Linear eddy current brakes are used on some rail vehicles, such as trains. They are used on
roller coaster A roller coaster, or rollercoaster, is a type of amusement ride that employs a form of elevated railroad track designed with tight turns, steep slopes, and sometimes inversions. Passengers ride along the track in open cars, and the rides are ...
s, to stop cars smoothly at the end of the ride. The linear eddy current brake consists of a magnetic yoke with electrical coils positioned along the rail, which are being magnetized alternating as south and north magnetic poles. This magnet does not touch the rail, but is held at a constant small distance from the rail of approximately 7 mm (the eddy current brake should not be confused with another device, the magnetic brake, which exerts its braking force by friction of a brake shoe with the rail).(Unlike mechanical brakes, which are based on friction and kinetic energy, eddy current brakes rely on electromagnetism to stop objects from moving.) It works the same as a disk eddy current brake, by inducing closed loops of eddy current in the conductive rail, which generate counter magnetic fields which oppose the motion of the train. The
kinetic energy In physics, the kinetic energy of an object is the energy that it possesses due to its motion. It is defined as the work needed to accelerate a body of a given mass from rest to its stated velocity. Having gained this energy during its accele ...
of the moving vehicle is converted to heat by the eddy current flowing through the
electrical resistance The electrical resistance of an object is a measure of its opposition to the flow of electric current. Its reciprocal quantity is , measuring the ease with which an electric current passes. Electrical resistance shares some conceptual parallel ...
of the rail, which leads to a warming of the rail. An advantage of the linear brake is that since each section of rail passes only once through the magnetic field of the brake, in contrast to the disk brake in which each section of the disk passes repeatedly through the brake, the rail doesn't get as hot as a disk, so the linear brake can dissipate more energy and have a higher power rating than disk brakes. The eddy current brake does not have any mechanical contact with the rail, thus no wear, and creates neither noise nor odor. The eddy current brake is unusable at low speeds, but can be used at high speeds for emergency braking and service braking. The TSI (
Technical Specifications for Interoperability A technical specification for interoperability (abbreviated as TSI) is a text provided for in European Directive 2016/797 adopted by the European Parliament and the Council of the European Union on the interoperability of the European rail system ...
) of the EU for trans-European high-speed rail recommends that all newly built high-speed lines should make the eddy current brake possible. The first train in commercial circulation to use such a braking system has been the
ICE 3 ICE 3, or Intercity-Express 3, is a family of high-speed electric multiple unit trains operated by Deutsche Bahn. It includes classes 403, 406, 407 and 408, which are known as ICE 3, ICE 3M, New ICE 3 and ICE 3neo respectively. Three multisystem ...
. Modern
roller coaster A roller coaster, or rollercoaster, is a type of amusement ride that employs a form of elevated railroad track designed with tight turns, steep slopes, and sometimes inversions. Passengers ride along the track in open cars, and the rides are ...
s use this type of braking. To avoid the risk posed by
power outage A power outage (also called a powercut, a power out, a power failure, a power blackout, a power loss, or a blackout) is the loss of the electrical power network supply to an end user. There are many causes of power failures in an electricit ...
s, they utilize
permanent magnet A magnet is a material or object that produces a magnetic field. This magnetic field is invisible but is responsible for the most notable property of a magnet: a force that pulls on other ferromagnetic materials, such as iron, steel, nickel, ...
s instead of electromagnets, thus not requiring a power supply. This application lacks the possibility of adjusting braking strength as easily as with electromagnets.


Lab experiment

In
physics education Physics education refers to the methods currently used to teach physics. Physics Education Research refers to an area of pedagogical research that seeks to improve those methods. Historically, physics has been taught at the high school and colleg ...
a simple experiment is sometimes used to illustrate eddy currents and the principle behind magnetic braking. When a strong
magnet A magnet is a material or object that produces a magnetic field. This magnetic field is invisible but is responsible for the most notable property of a magnet: a force that pulls on other ferromagnetic materials, such as iron, steel, nicke ...
is dropped down a vertical, non-ferrous, conducting pipe, eddy currents are induced in the pipe, and these retard the descent of the magnet, so it falls slower than it would if free-falling. As one set of authors explained In typical experiments, students measure the slower time of fall of the magnet through a copper tube compared with a cardboard tube, and may use an
oscilloscope An oscilloscope (informally a scope) is a type of electronic test instrument that graphically displays varying electrical voltages as a two-dimensional plot of one or more signals as a function of time. The main purposes are to display repetiti ...
to observe the pulse of eddy current induced in a loop of wire wound around the pipe when the magnet falls through.


See also

*
Dynamic braking Dynamic braking is the use of an electric traction motor as a generator when slowing a vehicle such as an electric or diesel-electric locomotive. It is termed " rheostatic" if the generated electrical power is dissipated as heat in brake grid ...
- either rheostatic (dissipating the train's energy as heat in resistor banks within the train, or regenerative where the energy is returned to the electrical supply system) *
Electromagnetic brake Electromagnetic brakes (also called electro-mechanical brakes or EM brakes) slow or stop motion using electromagnetic force to apply mechanical resistance (friction). They were originally called "electro-mechanical brakes," but over the years the ...
s (or electro-mechanical brakes) – use the magnetic force to press the brake ''mechanically'' on the rail *
Linear induction motor A linear induction motor (LIM) is an alternating current (AC), asynchronous linear motor that works by the same general principles as other induction motors but is typically designed to directly produce motion in a straight line. Characteristica ...
can be used as a regenerative brake


Notes


References

* * * * * * {{DEFAULTSORT:Eddy Current Brake Brakes Electromagnetic components Electrodynamics Railway brakes Physics experiments Electromagnetic brakes and clutches fr:Frein à courants de Foucault nl:Wervelstroomrem