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Transformer

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Transformer



 
 
A transformer is a device that transfers electrical energy from one circuit
Electrical network

An electrical network is an interconnection of electrical elements such as resistors, inductors, capacitors, transmission lines, voltage sources, current sources, and switches....
 to another through inductively coupled
Inductive coupling

In electrical engineering, two conductors are referred to as "inductively coupled" when they are configured such that change in current flow through one wire Faraday's law of induction a voltage across the ends of the other wire....
 conductors — the transformer's coils or "windings". Except for air-core
Transformer

A transformer is a device that transfers electrical energy from one electrical network to another through inductive coupling conductors — the transformer's coils or "windings"....
 transformers, the conductors are commonly wound around a single iron-rich core, or around separate but magnetically-coupled cores.






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Polemount Singlephase Closeup
A transformer is a device that transfers electrical energy from one circuit
Electrical network

An electrical network is an interconnection of electrical elements such as resistors, inductors, capacitors, transmission lines, voltage sources, current sources, and switches....
 to another through inductively coupled
Inductive coupling

In electrical engineering, two conductors are referred to as "inductively coupled" when they are configured such that change in current flow through one wire Faraday's law of induction a voltage across the ends of the other wire....
 conductors — the transformer's coils or "windings". Except for air-core
Transformer

A transformer is a device that transfers electrical energy from one electrical network to another through inductive coupling conductors — the transformer's coils or "windings"....
 transformers, the conductors are commonly wound around a single iron-rich core, or around separate but magnetically-coupled cores. A varying current
Electric current

Electric current is the flow of electric charge. The electric charge may be either electrons or ions.The International System of Units unit of electric current intensity is the ampere....
 in the first or "primary" winding creates a varying magnetic field
Magnetic field

A magnetism field is a vector field which can exert a magnetic force on moving electric charges and on magnetic dipoles . When placed in a magnetic field, magnetic dipoles tend to align their axes parallel to the magnetic field....
 in the core (or cores) of the transformer. This varying magnetic field induces a varying electromotive force (EMF)
Electromotive force

Electromotive force is a term used to characterize electrical devices, such as voltaic cells, Thermoelectric effects, electrical generators and transformers, and even resistors....
 or "voltage
Volt

The volt is the SI SI derived unit of electric potential difference or electromotive force, commonly known as voltage. It is named in honor of the Lombard physicist Alessandro Volta , who invented the voltaic pile, possibly the first chemical battery ....
" in the "secondary" winding. This effect is called mutual induction.

If a load is connected to the secondary, an electric current will flow in the secondary winding and electrical energy will flow from the primary circuit through the transformer to the load. In an ideal transformer, the induced voltage in the secondary winding (VS) is in proportion to the primary voltage (VP), and is given by the ratio of the number of turns in the secondary to the number of turns in the primary as follows:

By appropriate selection of the ratio of turns, a transformer thus allows an alternating current (AC)
Alternating current

In alternating current the movement of electric charge periodically reverses direction. An electric charge would for instance move forward, then backward, then forward, then backward, over and over again....
 voltage to be "stepped up" by making NS greater than NP, or "stepped down" by making NS less than NP.

Transformers come in a range of sizes from a thumbnail-sized coupling transformer hidden inside a stage microphone
Microphone

A microphone, sometimes referred to as a mike or?more recently?mic, is an acoustic-to-electric transducer or sensor that converts sound into an electrical signal....
 to huge units weighing hundreds of tons used to interconnect portions of national power grids. All operate with the same basic principles, although the range of designs is wide. While new technologies have eliminated the need for transformers in some electronic circuits, transformers are still found in nearly all electronic devices designed for household ("mains") voltage
Mains electricity

Mains is the general-purpose alternating current electric power supply. The term is not often used in the United States and Canada. In the US, mains power is referred to by a variety of formal and informal names, including household power, household electricity, domestic power, wall power, line power, AC p...
. Transformers are essential for high voltage power transmission
Power transmission

Power transmission is the movement of energy from its place of generation to a location where it is applied to performing useful Mechanical work....
, which makes long distance transmission economically practical.

History


First steps: experiments with induction coils


What would become the "transformer principle" was revealed in 1831 by Michael Faraday
Michael Faraday

Michael Faraday, Fellow of the Royal Society was an English chemist and physicist who contributed to the fields of electromagnetism and electrochemistry....
 in his demonstration of electromagnetic induction, but without recognition of its future role in manipulating EMF. The first "induction coil
Induction coil

An induction coil or "spark coil" is a type of disruptive discharge coil. It is a type of electrical transformer used to produce high-voltage pulses from a low-voltage Direct current supply....
s" to see wide use were invented by Rev. Nicholas Callan
Nicholas Callan

Father Nicholas Joseph Callan was a Ireland priest and scientist from Darver, County Louth, Ireland. He was Professor of Natural Philosophy in St Patrick's College, Maynooth near Dublin from 1834, and is best known for his work on the induction coil....
 of Maynooth College, Ireland in 1836, one of the first researchers to realize that the more turns the secondary winding has in relation to the primary winding, the larger the increase in EMF. Induction coils evolved from scientists' and inventors' efforts to get higher voltages from batteries. Rather than alternating current (AC)
AC

AC may refer to any of the following, broken down by subject area.Science* Actinium , a chemical element* Acetaldehyde , an organic ion...
, their action relied upon a vibrating "make-and-break" mechanism that regularly interrupted the flow of direct current (DC)
DC

DC may refer to:...
 from the batteries. Between the 1830s and the 1870s, efforts to build better induction coils, mostly by trial and error, slowly revealed the basic principles of transformers. Efficient, practical designs did not appear until the 1880s, but within a decade the "transformer" would be instrumental in the "War of Currents
War of Currents

In the "War of Currents" era in the late 1880s, George Westinghouse and Thomas Edison became adversaries due to Edison's promotion of direct current for electric power distribution over alternating current advocated by Westinghouse and Nikola Tesla....
", and in seeing AC systems triumph over their DC counterparts, a position in which they have remained dominant ever since.

In 1876, Russian engineer Pavel Yablochkov
Pavel Yablochkov

Pavel Nikolayevich Yablochkov In 1866, he graduated from Mykolayiv Engineering Institute as a military engineer, and then in 1869, from Technical Galvanic School in Saint Petersburg....
 invented a lighting system based on a set of induction coils where the primary windings were connected to a source of alternating current and the secondary windings could be connected to several "electric candles"
Yablochkov candle

A Yablochkov candle is a type of electric carbon arc lamp, invented in 1876 by Pavel Yablochkov....
 (arc lamps) of his own design. The coils used in the system behaved as primitive transformers. The patent claimed the system could "provide separate supply to several lighting fixtures with different luminous intensities from a single source of electric power".

In 1878, the engineers of the Ganz
Ganz

File:19880816-TRIPOLIS-GANZ-A6463.jpg The Ganz electric works in Budapest is probably best known for the manufacture of tramcars, but was also a pioneer in the application of three-phase alternating current to railway electrification system....
 Company in Hungary
Hungary

Hungary , officially in English the Republic of Hungary , is a landlocked country in the Carpathian Basin of Central Europe, bordered by Austria, Slovakia, Ukraine, Romania, Serbia, Croatia, and Slovenia....
 assigned part of its extensive engineering works to the manufacture of electric lighting apparatus for Austria-Hungary
Austria-Hungary

Austria-Hungary, also known as the Austro-Hungarian Empire, the Dual Monarchy or the Kaiserlich und k?niglich Monarchy was a state in Central Europe ruled by the House of Habsburg, constitutionally a personal union between the crowns of the Austrian Empire and the Kingdom of Hungary....
, and by 1883 made over fifty installations. It offered an entire system consisting of both arc
Arc Light

Arc Light is the debut novel by Eric L. Harry, a techno-thriller about limited Nuclear warfare published in 1994 and written in 1991-2.As China and Russia clash in Siberia in June 1999, nuclear missiles strike the United States....
 and incandescent lamps, generators, and other accessories.

Lucien Gaulard
Lucien Gaulard

Lucien Gaulard invented devices for the Electricity distribution of alternating current electrical energy....
 and John Dixon Gibbs exhibited a device with an open iron core called a "secondary generator" in London
London

London is the capital of both England and the United Kingdom, and the most populous municipality in the European Union. An important settlement for two millennia, History of London goes back to its founding by the Roman Empire....
 in 1882, then sold the idea to the Westinghouse company in the United States
United States

The United States of America is a Federal government constitutional republic comprising U.S. state and a federal district. The country is situated mostly in central North America, where its Contiguous United States and Washington, D.C., the Capital districts and territories, lie between the Pacific Ocean and Atlantic Oceans, Borders of the U...
. They also exhibited the invention in Turin, Italy
Turín

Tur?n is a municipality in the Ahuachap?n Department Departments of El Salvador of El Salvador....
 in 1884, where it was adopted for an electric lighting system.

Transformers with open magnetic circuits are inefficient for transfer of power to loads. Various methods of adjusting the transformer cores or bypassing magnetic flux around part of a coil were developed, since until about 1880 the paradigm for AC power transmission from a high voltage supply to a low voltage load was a series circuit. In practice, several transformers with a ratio near 1:1 were connected with their primaries in series to allow use of a high voltage for transmission while presenting a low voltage to the lamps. The inherent flaw in this method was that turning off a single lamp affected all the others on the circuit, and many adjustable transformer designs were attempted in an effort to accommodate this problematic characteristic of the series circuit.

First transformers

Stanleytransformer
Between 1884 and 1885, Hungarian
Hungary

Hungary , officially in English the Republic of Hungary , is a landlocked country in the Carpathian Basin of Central Europe, bordered by Austria, Slovakia, Ukraine, Romania, Serbia, Croatia, and Slovenia....
 engineers Zipernowsky
Károly Zipernowsky

K?roly Zipernowsky , was a Hungary electrical engineer. He was the co-inventor of the transformer and other Alternating current technologies....
, Bláthy
Ottó Bláthy

Ott? Titusz Bl?thy , was a Hungary electrical engineer. In his career, he became the co-inventor of the electric transformer, the tension regulator, the watt meter, the alternating current electric motor, the turbo generator, and the high efficiency turbo generator....
 and Déri
Miksa Déri

Miksa D?ri , was a Hungary electrical engineer, co-inventor of the closed iron core transformer and the ZBD model Alternating current electrical generator....
 from the Ganz company in Budapest
Budapest

Budapest is the Capitals of Hungary of Hungary. As the largest city of Hungary, it serves as the country's principal political, cultural, commerce, Industry, and transportation center and is considered an important hub in Central Europe....
 created the efficient "ZBD" closed-core model, which were based on the design by Gaulard and Gibbs. (Gaulard and Gibbs designed just an open core model) They discovered that all former (coreless or open-core) devices were incapable of regulating voltage, and were therefore impracticable. Their joint patent described a transformer with no poles and comprised two versions of it, the "closed-core transformer" and the "shell-core transformer. In the closed-core transformer the iron core is a closed ring around which the two coils are arranged uniformly. In the shell type transformer, the copper induction cables are passed through the core. In both designs, the magnetic flux linking the primary and secondary coils travels (almost entirely) in the iron core, with no intentional path through air. The core consists of iron cables or plates. Based on this invention, it became possible to provide economical and cheap lighting for industry and households." Zipernowsky
Károly Zipernowsky

K?roly Zipernowsky , was a Hungary electrical engineer. He was the co-inventor of the transformer and other Alternating current technologies....
, Bláthy
Ottó Bláthy

Ott? Titusz Bl?thy , was a Hungary electrical engineer. In his career, he became the co-inventor of the electric transformer, the tension regulator, the watt meter, the alternating current electric motor, the turbo generator, and the high efficiency turbo generator....
 and Déri
Miksa Déri

Miksa D?ri , was a Hungary electrical engineer, co-inventor of the closed iron core transformer and the ZBD model Alternating current electrical generator....
 discovered the mathematical formula of transformers: Vs/Vp = Ns/Np. With this formula, transformers became calculable and proportionable. Their patent application made the first use of the word "transformer", a word that had been coined by Ottó Bláthy
Ottó Bláthy

Ott? Titusz Bl?thy , was a Hungary electrical engineer. In his career, he became the co-inventor of the electric transformer, the tension regulator, the watt meter, the alternating current electric motor, the turbo generator, and the high efficiency turbo generator....
. George Westinghouse had bought both Gaulard and Gibbs' and the "ZBD" patents in 1885. He entrusted William Stanley with the building of a ZBD-type transformer for commercial use. Stanley built the core from interlocking E-shaped iron plates. This design was first used commercially in 1886.

Early developments and applications


Russian engineer Mikhail Dolivo-Dobrovolsky developed the first three-phase
Three-phase

In electrical engineering, three-phase electric power systems have at least three conductors carrying voltage waveforms that are 2p/3 radians offset in time....
 transformer in 1889. In 1891 Nikola Tesla
Nikola Tesla

Nikola Tesla was an inventor and a mechanical engineer and electrical engineer. Tesla was born in the village of Smiljan near the town of Gospic, in Croatia ....
 invented the Tesla coil
Tesla coil

A Tesla coil is a type of Transformer#Resonant transformers circuit invented by Serbian-American scientist Nikola Tesla around 1891. It is generally used to generate very high voltage, low Electrical current, high frequency alternating current electricity....
, an air-cored, dual-tuned resonant transformer for generating very high voltage
High voltage

The term high voltage characterizes electrical circuits, in which the voltage used is the cause of particular safety concerns and insulation requirements....
s at high frequency. Audio frequency
Audio frequency

An audio frequency , or audible frequency is characterized as a periodic vibration whose frequency is audible to the average human. While the range of frequencies that any individual can hear is largely related to environmental factors, the generally accepted standard range of audible frequencies is 20 to 20,000 hertz....
 transformers (at the time called repeating coil
Repeating coil

In telecommunications, a repeating coil is a voice-frequency transformer characterized by a closed magnetic core, a pair of identical balanced line primary windings, a pair of identical but not necessarily balanced secondary windings, and low Attenuation at human voice frequencies....
s) were used by the earliest experimenters in the development of the telephone
Telephone

The telephone is a telecommunications device that is used to transmitter and receive electronically or digitally encoded sound between two or more people conversing....
.

Basic principles

The transformer is based on two principles: firstly, that an electric current
Electric current

Electric current is the flow of electric charge. The electric charge may be either electrons or ions.The International System of Units unit of electric current intensity is the ampere....
 can produce a magnetic field
Magnetic field

A magnetism field is a vector field which can exert a magnetic force on moving electric charges and on magnetic dipoles . When placed in a magnetic field, magnetic dipoles tend to align their axes parallel to the magnetic field....
 (electromagnetism
Electromagnetism

Electromagnetism is the physics of the electromagnetic field, a field which exerts a force on Elementary particles with the property of electric charge and which is reciprocally affected by the presence and motion of such particles....
) and secondly that a changing magnetic field within a coil of wire induces a voltage across the ends of the coil (electromagnetic induction). Changing the current in the primary coil changes the magnitude of the applied magnetic field. The changing magnetic flux extends to the secondary coil where a voltage is induced across its ends.

Transformer3d Col3
A simplified transformer design is shown to the left. A current passing through the primary coil creates a magnetic field
Magnetic field

A magnetism field is a vector field which can exert a magnetic force on moving electric charges and on magnetic dipoles . When placed in a magnetic field, magnetic dipoles tend to align their axes parallel to the magnetic field....
. The primary and secondary coils are wrapped around a core
Magnetic core

The magnetic core is a key component in electrical and electromechanical devices such as electromagnets, transformers, and inductors. A magnetic core is a magnetic material with a high magnetic permeability, but are usually chosen to be magnetically 'soft', that is, they are made of materials that do not maintain a significant magnetic field...
 of very high magnetic permeability
Permeability (electromagnetism)

In electromagnetism, permeability is the degree of magnetization of a material that responds linearly to an applied magnetic field. Magnetic permeability is typically represented by the Greek letter Mu ....
, such as iron
Iron

Iron is a chemical element with the symbol Fe and atomic number 26. Iron is a Group 8 element and period 4 element. Iron is lustrous and silvery in color....
; this ensures that most of the magnetic field lines produced by the primary current are within the iron and pass through the secondary coil as well as the primary coil.

Induction law


The voltage induced across the secondary coil may be calculated from Faraday's law of induction
Faraday's law of induction

Faraday's law of induction describes a basic law of electromagnetism, which is involved in the working of transformers, inductors, and many forms of electrical generators....
, which states that:

where VS is the instantaneous voltage
Voltage

Electrical tension is the potential difference between two points of an electrical or electronic circuit, expressed in volts. It is the measurement of the potential for an electric field to cause an electric current in an electrical conductor....
, NS is the number of turns in the secondary coil and F equals the magnetic flux
Magnetic flux

Magnetic flux, represented by the Greek letter F , is a measure of quantity of magnetism, taking into account the strength and the extent of a magnetic field....
 through one turn of the coil. If the turns of the coil are oriented perpendicular to the magnetic field lines, the flux is the product of the magnetic field
Magnetic field

A magnetism field is a vector field which can exert a magnetic force on moving electric charges and on magnetic dipoles . When placed in a magnetic field, magnetic dipoles tend to align their axes parallel to the magnetic field....
 strength B and the area A through which it cuts. The area is constant, being equal to the cross-sectional area of the transformer core, whereas the magnetic field varies with time according to the excitation of the primary. Since the same magnetic flux passes through both the primary and secondary coils in an ideal transformer, the instantaneous voltage across the primary winding equals

Taking the ratio of the two equations for VS and VP gives the basic equation for stepping up or stepping down the voltage

Ideal power equation


If the secondary coil is attached to a load that allows current to flow, electrical power is transmitted from the primary circuit to the secondary circuit. Ideally, the transformer is perfectly efficient; all the incoming energy is transformed from the primary circuit to the magnetic field
Magnetic field

A magnetism field is a vector field which can exert a magnetic force on moving electric charges and on magnetic dipoles . When placed in a magnetic field, magnetic dipoles tend to align their axes parallel to the magnetic field....
 and into the secondary circuit. If this condition is met, the incoming electric power
Electric power

Electric power is defined as the rate at which electrical energy is transferred by an electric circuit. The SI unit of power is the watt .When electric current flows in a circuit, it can transfer energy to do mechanical work or work ....
 must equal the outgoing power.

giving the ideal transformer equation

If the voltage is increased (stepped up) (VS > VP), then the current is decreased (stepped down) (IS < IP) by the same factor. Transformers are efficient so this formula is a reasonable approximation.

The impedance in one circuit is transformed by the square of the turns ratio. For example, if an impedance ZS is attached across the terminals of the secondary coil, it appears to the primary circuit to have an impedance of . This relationship is reciprocal, so that the impedance ZP of the primary circuit appears to the secondary to be .

Detailed operation

The simplified description above neglects several practical factors, in particular the primary current required to establish a magnetic field in the core, and the contribution to the field due to current in the secondary circuit.

Models of an ideal transformer typically assume a core of negligible reluctance
Magnetic reluctance

Magnetic reluctance or "magnetic resistance", is analogous to Electrical resistance in an electrical circuit . In likeness to the way an electric field causes an electric current to follow the path of least resistance, a magnetic field causes magnetic flux to follow the path of least magnetic reluctance....
 with two windings of zero resistance
Electrical resistance

The electrical resistance of an object is a measure of its opposition to the passage of a steady electrical current. An object of uniform cross section will have a resistance proportional to its length and inversely proportional to its cross-sectional area, and proportional to the resistivity of the material....
. When a voltage is applied to the primary winding, a small current flows, driving flux
Magnetic flux

Magnetic flux, represented by the Greek letter F , is a measure of quantity of magnetism, taking into account the strength and the extent of a magnetic field....
 around the magnetic circuit
Magnetic circuit

A magnetic circuit is a closed path containing a magnetic flux. It generally contains magnetic elements such as permanent magnets, ferromagnetic materials, and electromagnets, but may also contain air gaps and other materials....
 of the core.. The current required to create the flux is termed the magnetizing current; since the ideal core has been assumed to have near-zero reluctance, the magnetizing current is negligible, although still required to create the magnetic field.

The changing magnetic field induces an electromotive force
Electromotive force

Electromotive force is a term used to characterize electrical devices, such as voltaic cells, Thermoelectric effects, electrical generators and transformers, and even resistors....
 (EMF) across each winding. Since the ideal windings have no impedance, they have no associated voltage drop, and so the voltages VP and VS measured at the terminals of the transformer, are equal to the corresponding EMFs. The primary EMF, acting as it does in opposition to the primary voltage, is sometimes termed the "back EMF
Counter-electromotive force

The counter-electromotive force is the voltage, or electromotive force, that pushes against the current which induces it. CEMF is caused by a changing electromagnetic field....
". This is due to Lenz's law
Lenz's law

Lenz's law gives the direction of the induced electromotive force and Electric current resulting from electromagnetic induction. The law provides a physical interpretation of the choice of sign in Faraday's law of induction, indicating that the induced emf and the change in flux have opposite signs....
 which states that the induction of EMF would always be such that it will oppose development of any such change in magnetic field.

Practical considerations


Leakage flux

The ideal transformer model assumes that all flux generated by the primary winding links all the turns of every winding, including itself. In practice, some flux traverses paths that take it outside the windings. Such flux is termed leakage flux, and results in leakage inductance
Leakage inductance

Leakage inductance is that property of an electrical transformer that causes a winding to appear to have some self-inductance in series with the mutual inductance transformer windings....
 in series
Series and parallel circuits

In electronics, components of an electronic circuit can be connected in series or in parallel. Components connected in series are connected along a single path, so the same electric current flows through all of the components....
 with the mutually coupled transformer windings. Leakage results in energy being alternately stored in and discharged from the magnetic field
Magnetic field

A magnetism field is a vector field which can exert a magnetic force on moving electric charges and on magnetic dipoles . When placed in a magnetic field, magnetic dipoles tend to align their axes parallel to the magnetic field....
s with each cycle of the power supply. It is not directly a power loss (see "Stray losses" below), but results in inferior voltage regulation
Voltage regulation

In electrical engineering, particularly power engineering, voltage regulation is the ability of a system to provide near constant voltage over a wide range of Electrical load conditions....
, causing the secondary voltage to fail to be directly proportional to the primary, particularly under heavy load. Transformers are therefore normally designed to have very low leakage inductance
Leakage inductance

Leakage inductance is that property of an electrical transformer that causes a winding to appear to have some self-inductance in series with the mutual inductance transformer windings....
.

However, in some applications, leakage can be a desirable property, and long magnetic paths, air gaps, or magnetic bypass shunts may be deliberately introduced to a transformer's design to limit the short-circuit current it will supply. Leaky transformers may be used to supply loads that exhibit negative resistance
Negative resistance

Negative resistance is a property of some electric circuits where an increase in the current entering a port, results in a decreased voltage across the same port....
, such as electric arc
Electric arc

An electric arc is an electrical breakdown of a gas which produces an ongoing Plasma Electrostatic discharge, resulting from a current flowing through normally Electrical conductance media such as air....
s, mercury vapor lamps, and neon sign
Neon sign

Neon signs are luminous-tube signs that contain neon or other inert gases at a low pressure. Applying a high voltage makes the gas glow brightly....
s; or for safely handling loads that become periodically short-circuited such as electric arc welders
Arc welding

Arc welding uses a welding power supply to create an electric arc between an electrode and the base material to melt the metals at the welding point....
. Air gaps are also used to keep a transformer from saturating, especially audio-frequency transformers in circuits that have a direct current flowing through the windings.

Effect of frequency

The time-derivative term in Faraday's Law
Faraday's law of induction

Faraday's law of induction describes a basic law of electromagnetism, which is involved in the working of transformers, inductors, and many forms of electrical generators....
 shows that the flux in the core is the integral
Integral

Integration is an important concept in mathematics, specifically in the field of calculus and, more broadly, mathematical analysis. Given a function ƒ of a Real number variable x and an interval [ab] of the real line, the integral...
 of the applied voltage. Hypothetically an ideal transformer would work with direct-current excitation, with the core flux increasing linearly with time. In practice, the flux would rise to the point where magnetic saturation
Saturation (magnetic)

Seen in some magnetic materials, saturation is the state reached when an increase in applied external magnetizing field H cannot increase the magnetization of the material further, so the total magnetic field B levels off....
 of the core occurred, causing a huge increase in the magnetizing current and overheating the transformer. All practical transformers must therefore operate with alternating (or pulsed) current.

The EMF of a transformer at a given flux density increases with frequency. By operating at higher frequencies, transformers can be physically more compact because a given core is able to transfer more power without reaching saturation, and fewer turns are needed to achieve the same impedance. However properties such as core loss and conductor skin effect
Skin effect

The skin effect is the tendency of an alternating current to distribute itself within a Conductor so that the current density near the surface of the conductor is greater than that at its core....
 also increase with frequency. Aircraft and military equipment employ 400 Hz power supplies which reduce core and winding weight.

Operation of a transformer at its designed voltage but at a higher frequency than intended will lead to reduced magnetizing current; at lower frequency, the magnetizing current will increase. Operation of a transformer at other than its design frequency may require assessment of voltages, losses, and cooling to establish if safe operation is practical. For example, transformers may need to be equipped with "volts per hertz" over-excitation relay
Relay

A relay is an electrical switch that opens and closes under the control of another electrical circuit. In the original form, the switch is operated by an magnet to open or close one or many sets of contacts....
s to protect the transformer from overvoltage at higher than rated frequency.

Knowledge of natural frequencies of transformer windings is of importance for the determination of the transient response of the windings to impulse and switching surge voltages.

Energy losses

An ideal transformer would have no energy losses, and would be 100% efficient. In practical transformers energy is dissipated in the windings, core, and surrounding structures. Larger transformers are generally more efficient, and those rated for electricity distribution usually perform better than 98%.

Experimental transformers using superconducting
Superconductivity

Superconductivity is a phenomenon occurring in certain materials generally at very low temperatures, characterized by exactly zero electrical resistance and the exclusion of the interior magnetic field ....
 windings achieving efficiencies of 99.85%, While the increase in efficiency is small, when applied to large heavily-loaded transformers the annual savings in energy losses are significant.

A small transformer, such as a plug-in "wall-wart" or power adapter
Wall wart

Wall wart is a slang term for certain types of power supply - typically those that are embedded in an over-sized AC power plugs and sockets. Other names include power brick, plug pack, plug-in adapter, adapter block, domestic mains adapter, power adapter, or Power supply#AC adapter....
 type used for low-power consumer electronics, may be no more than 85% efficient, with considerable loss even when not supplying any load. Though individual power loss is small, the aggregate losses from the very large number of such devices is coming under increased scrutiny.

The losses vary with load current, and may be expressed as "no-load" or "full-load" loss. Winding resistance
Electrical resistance

The electrical resistance of an object is a measure of its opposition to the passage of a steady electrical current. An object of uniform cross section will have a resistance proportional to its length and inversely proportional to its cross-sectional area, and proportional to the resistivity of the material....
 dominates load losses, whereas hysteresis
Hysteresis

A system with hysteresis can be summarized as a system that may be in any number of states, independent of the inputs to the system. To be exact, a system with hysteresis exhibits path-dependence, or "rate-independent memory"....
 and eddy current
Eddy current

An eddy current is an Electricity phenomenon discovered by France physics L?on Foucault in 1851. It is caused when a conductor is exposed to a changing magnetic field due to relative motion of the field source and conductor; or due to variations of the field with time....
s losses contribute to over 99% of the no-load loss. The no-load loss can be significant, meaning that even an idle transformer constitutes a drain on an electrical supply, which encourages development of low-loss transformers (also see energy efficient transformer
Energy efficient transformer

In a typical grid, electric transformer loss typically contributes about 40-50% of the total transmission & distribution loss. Energy efficient transformer is therefore an important mean to reduce T&D loss....
).

Transformer losses are divided into losses in the windings, termed copper loss
Copper loss

Copper loss is the term often given to heat produced by electrical currents in the Electrical conductors of transformer windings, or other electrical devices....
, and those in the magnetic circuit, termed iron loss. Losses in the transformer arise from: Winding resistance
Current flowing through the windings causes resistive heating of the conductors. At higher frequencies, skin effect
Skin effect

The skin effect is the tendency of an alternating current to distribute itself within a Conductor so that the current density near the surface of the conductor is greater than that at its core....
 and proximity effect
Proximity effect (electromagnetism)

In a conductor carrying current, if currents are flowing through one or more other nearby conductors, such as within a closely wound coil of wire, the distribution of current within the first conductor will be constrained to smaller regions....
 create additional winding resistance and losses.
Hysteresis losses
Each time the magnetic field is reversed, a small amount of energy is lost due to hysteresis
Hysteresis

A system with hysteresis can be summarized as a system that may be in any number of states, independent of the inputs to the system. To be exact, a system with hysteresis exhibits path-dependence, or "rate-independent memory"....
 within the core. For a given core material, the loss is proportional to the frequency, and is a function of the peak flux density to which it is subjected.
Eddy currents
Ferromagnetic materials are also good conductors
Electrical conductor

In science and Electrical engineering, an electrical conductor is a material which contains movable electric charges. In metallic conductors, such as copper or aluminum, the movable charged particles are electrons ....
, and a solid core made from such a material also constitutes a single short-circuited turn throughout its entire length. Eddy current
Eddy current

An eddy current is an Electricity phenomenon discovered by France physics L?on Foucault in 1851. It is caused when a conductor is exposed to a changing magnetic field due to relative motion of the field source and conductor; or due to variations of the field with time....
s therefore circulate within the core in a plane normal to the flux, and are responsible for resistive heating of the core material. The eddy current loss is a complex function of the square of supply frequency and inverse square of the material thickness.
Magnetostriction
Magnetic flux in a ferromagnetic material, such as the core, causes it to physically expand and contract slightly with each cycle of the magnetic field, an effect known as magnetostriction
Magnetostriction

Magnetostriction is a property of ferromagnetic materials that causes them to change their shape when subjected to a magnetic field. The effect was first identified in 1842 by James Joule when observing a sample of nickel....
. This produces the buzzing sound commonly associated with transformers, and in turn causes losses due to frictional heating in susceptible cores.
Mechanical losses
In addition to magnetostriction, the alternating magnetic field causes fluctuating electromagnetic forces between the primary and secondary windings. These incite vibrations within nearby metalwork, adding to the buzzing noise
Mains hum

Electric hum, mains hum, or power line hum is an audible oscillation at the Utility frequency of the mains alternating current, which is usually 50 or 60 hertz depending on the local electric utility configuration ....
, and consuming a small amount of power.
Stray losses age inductance is by itself lossless, since energy supplied to its magnetic fields is returned to the supply with the next half-cycle. However, any leakage flux that intercepts nearby conductive materials such as the transformer's support structure will give rise to eddy currents and be converted to heat.

Equivalent circuit

Refer to the diagram below
The physical limitations of the practical transformer may be brought together as an equivalent circuit model (shown below) built around an ideal lossless transformer. Power loss in the windings is current-dependent and is represented as in-series resistances RP and RS. Flux leakage results in a fraction of the applied voltage dropped without contributing to the mutual coupling, and thus can be modeled as reactances of each leakage inductance
Leakage inductance

Leakage inductance is that property of an electrical transformer that causes a winding to appear to have some self-inductance in series with the mutual inductance transformer windings....
 XP and XS in series with the perfectly-coupled region.

Iron losses are caused mostly by hysteresis and eddy current effects in the core, and are proportional to the square of the core flux for operation at a given frequency. Since the core flux is proportional to the applied voltage, the iron loss can be represented by a resistance RC in parallel with the ideal transformer.

A core with finite permeability
Permeability (electromagnetism)

In electromagnetism, permeability is the degree of magnetization of a material that responds linearly to an applied magnetic field. Magnetic permeability is typically represented by the Greek letter Mu ....
 requires a magnetizing current IM to maintain the mutual flux in the core. The magnetizing current is in phase with the flux; saturation effects cause the relationship between the two to be non-linear, but for simplicity this effect tends to be ignored in most circuit equivalents. With a sinusoidal supply, the core flux lags the induced EMF by 90° and this effect can be modeled as a magnetizing reactance (reactance of an effective inductance) XM in parallel
Series and parallel circuits

In electronics, components of an electronic circuit can be connected in series or in parallel. Components connected in series are connected along a single path, so the same electric current flows through all of the components....
 with the core loss component. RC and XM are sometimes together termed the magnetizing branch of the model. If the secondary winding is made open-circuit, the current I0 taken by the magnetizing branch represents the transformer's no-load current.

The secondary impedance
Electrical impedance

Electrical impedance, or simply impedance, describes a measure of opposition to a sinusoidal alternating current . Electrical impedance extends the concept of Electrical resistance to AC circuits, describing not only the relative amplitudes of the voltage and Electric current, but also the relative Phase ....
 RS and XS is frequently moved (or "referred") to the primary side after multiplying the components by the impedance scaling factor . The resulting model is sometimes termed the "exact equivalent circuit", though it retains a number of approximations, such as an assumption of linearity. Analysis may be simplified by moving the magnetizing branch to the left of the primary impedance, an implicit assumption that the magnetizing current is low, and then summing primary and referred secondary impedances, resulting in so-called equivalent impedance.

The parameters of equivalent circuit of a transformer can be calculated from the results of two transformer tests: open-circuit test
Open circuit test

Open circuit test, sometimes called no-load test, is one of the methods used in electrical engineering to determine the value of the impedance in the excitation branch of a real transformer....
 and short-circuit test.

Types

A wide variety of transformer designs are used for different applications, though they share several common features. Important common transformer types include:

Autotransformer

Variable Transformer 01
An autotransformer
Autotransformer

An autotransformer is an electrical transformer with only one coil#Electromagnetic. The winding has at least three electrical connection points called Tap ....
 has only a single winding with two end terminals, plus a third at an intermediate tap point. The primary voltage is applied across two of the terminals, and the secondary voltage taken from one of these and the third terminal. The primary and secondary circuits therefore have a number of windings turns in common. Since the volts-per-turn is the same in both windings, each develops a voltage in proportion to its number of turns. An adjustable autotransformer is made by exposing part of the winding coils and making the secondary connection through a sliding brush
Brush (electric)

A brush is a device which conducts current between stationary wires and moving parts, most commonly in a rotating shaft. Typical applications include electric motors, alternators and electric generators....
, giving a variable turns ratio.

Polyphase transformers

Polemounttransformer02
For three-phase
Three-phase

In electrical engineering, three-phase electric power systems have at least three conductors carrying voltage waveforms that are 2p/3 radians offset in time....
 supplies, a bank of three individual single-phase transformers can be used, or all three phases can be incorporated as a single three-phase transformer. In this case, the magnetic circuits are connected together, the core thus containing a three-phase flow of flux. A number of winding configurations are possible, giving rise to different attributes and phase shift
Phase (waves)

The phase of an oscillation or wave is the fraction of a complete cycle corresponding to an offset in the displacement from a specified reference point at time t = 0....
s. One particular polyphase configuration is the zigzag transformer
Zigzag transformer

A zigzag transformer is a special purpose transformer. It has primary windings but no secondary winding. One application is to derive an earth reference point for an ungrounded electrical system....
, used for grounding
Ground (electricity)

In electrical engineering, ground or earth may be the reference point in an electrical circuit from which other voltages are measured, or a common return path for electric current, or a direct physical connection to the Earth....
 and in the suppression of harmonic
Harmonic

In acoustics and telecommunication, a harmonic of a wave is a component frequency of the Signalling that is an integer multiple of the fundamental frequency....
 currents.

Leakage transformers

A leakage transformer, also called a stray-field transformer, has a significantly higher leakage inductance
Leakage inductance

Leakage inductance is that property of an electrical transformer that causes a winding to appear to have some self-inductance in series with the mutual inductance transformer windings....
 than other transformers, sometimes increased by a magnetic bypass or shunt in its core between primary and secondary, which is sometimes adjustable with a set screw. This provides a transformer with an inherent current limitation due to the loose coupling between its primary and the secondary windings. The output and input currents are low enough to prevent thermal overload under all load conditions – even if the secondary is shorted.

Leakage transformers are used for arc welding
Arc welding

Arc welding uses a welding power supply to create an electric arc between an electrode and the base material to melt the metals at the welding point....
 and high voltage discharge lamps (neon lamp
Neon lamp

A neon lamp is a gas discharge lamp containing primarily neon gas at low pressure. The term is sometimes used for similar devices filled with other noble gases, usually to produce different colors....
s and cold cathode fluorescent lamps, which are series-connected up to 7.5 kV AC). It acts then both as a voltage transformer and as a magnetic ballast
Electrical ballast

An electrical ballast is a device intended to limit the amount of Electric current in an Electricity circuit.Ballasts vary greatly in complexity....
.

Other applications are short-circuit-proof extra-low voltage transformers for toys or doorbell
Doorbell

A doorbell is a signaling device commonly found near a door. It commonly emits a ringing sound to alert the occupant of the building to a visitor's presence....
 installations.

Resonant transformers

A resonant
Electrical resonance

Electrical resonance occurs in an electrical network at a particular Resonance when the Electrical impedance between the input and output of the circuit is at a minimum ....
 transformer is a kind of the leakage transformer. It uses the leakage inductance
Leakage inductance

Leakage inductance is that property of an electrical transformer that causes a winding to appear to have some self-inductance in series with the mutual inductance transformer windings....
 of its secondary windings in combination with external capacitors, to create one or more resonant circuits. Resonant transformers such as the Tesla coil
Tesla coil

A Tesla coil is a type of Transformer#Resonant transformers circuit invented by Serbian-American scientist Nikola Tesla around 1891. It is generally used to generate very high voltage, low Electrical current, high frequency alternating current electricity....
 can generate very high voltages, and are able to provide much higher current than electrostatic high-voltage generation machines such as the Van de Graaff generator
Van de Graaff generator

A Van de Graaff generator is an Electrostatic generator which uses a moving belt to accumulate very high electrostatically stable voltages on a hollow metal globe....
. One of the applications of the resonant transformer is for the CCFL inverter
CCFL inverter

A CCFL inverter is a device for providing drive power to a Cold Cathode . CCFLs are often used as inexpensive light units in electrical devices....
. Another application of the resonant transformer is to couple between stages of a superheterodyne receiver
Superheterodyne receiver

In electronics, the superheterodyne receiver is a receiver which uses the principle of frequency mixing or heterodyning to convert the received signal to a lower "intermediate" frequency, which can be more conveniently processed than the original carrier frequency....
, where the selectivity of the receiver is provided by tuned transformers in the intermediate-frequency amplifiers.

Audio transformers


Audio transformers are those specifically designed for use in audio circuits. They can be used to block radio frequency interference or the DC component of an audio signal, to split or combine audio signals, or to provide impedance matching between high and low impedance circuits, such as between a high impedance tube (valve) amplifier
Valve amplifier

A valve amplifier or tube amplifier is a type of electronic amplifier that makes use of vacuum tubes to increase the Power and/or amplitude of a Signal ....
 output and a low impedance loudspeaker
Loudspeaker

A loudspeaker, speaker, or speaker system is an electroacoustical transducer that converts an electricity signal processing to sound....
, or between a high impedance instrument output and the low impedance input of a mixing console
Mixing console

In professional Sound reproduction, a mixing console, or audio mixer, also called a sound board or soundboard, is an Electronics device for combining , routing, and changing the level, Timbre and/or dynamics of audio signals....
.

Such transformers were originally designed to connect different telephone systems to one another while keeping their respective power supplies isolated, and are still commonly used to interconnect professional audio
Professional audio

Professional audio, also 'pro audio', can be used a term to refer to both a type of audio equipment as well as a type of audio engineering application....
 systems or system components.

Being magnetic devices, audio transformers are susceptible to external magnetic fields such as those generated by AC current-carrying conductors. "Hum" is a term commonly used to describe unwanted signals originating from the "mains
Mains electricity

Mains is the general-purpose alternating current electric power supply. The term is not often used in the United States and Canada. In the US, mains power is referred to by a variety of formal and informal names, including household power, household electricity, domestic power, wall power, line power, AC p...
" power supply (typically 50 or 60 Hz). Audio transformers used for low-level signals, such as those from microphones, often included shielding to protect against extraneous magnetically-coupled signals.

Current and voltage transformers

A current transformer
Current transformer

In electrical engineering, a current transformer is used for measurement of electric currents. Current transformers are also known as instrument transformers....
 is a transformer designed to provide a current in its secondary coil proportional to the current flowing in its primary coil. Current transformers are commonly used in metering
Electricity meter

An electric meter or energy meter is a device that measures the amount of electricity energy supplied to or produced by a House, business or machine....
 and protective relaying
Power system protection

Power system protection is a branch of electrical power engineering that deals with the protection of electrical power systems from Short circuit through the isolation of faulted parts from the rest of the Grid ....
, where they facilitate the safe measurement of large currents. They isolate measurement and control circuitry from the high currents present on the circuits being measured or controlled.

Voltage transformers (VTs), also referred to as "potential transformers" (PTs), are used for metering and protection in high-voltage circuits. They are designed to present a negligible load to the supply being measured, to allow protective relay equipment to be operated at a lower voltages, and to have a precise winding ratio for accurate metering.

Classification


Transformers can be classified in different ways:

  • By power capacity: from a fraction of a volt-ampere
    Volt-ampere

    A volt-ampere in electrical terms, is the amount of power in an alternating current circuit equal to a current flow of one ampere at an electromotive force of one volt....
     (VA) to over a thousand MVA;
  • By frequency range: power-
    Utility frequency

    The utility frequency or mains frequency is the frequency at which alternating current is transmitted from a power plant to the end user....
    , audio-
    Audio frequency

    An audio frequency , or audible frequency is characterized as a periodic vibration whose frequency is audible to the average human. While the range of frequencies that any individual can hear is largely related to environmental factors, the generally accepted standard range of audible frequencies is 20 to 20,000 hertz....
    , or radio frequency
    Radio frequency

    Radio frequency is a frequency or rate of oscillation within the range of about 3 Hz to 300 GHz. This range corresponds to frequency of alternating current electrical signals used to produce and detect radio waves....
    ;
  • By voltage class: from a few volts to hundreds of kilovolts;
  • By cooling type: air cooled, oil filled, fan cooled, or water cooled;
  • By application: such as power supply, impedance matching, output voltage and current stabilizer, or circuit isolation;
  • By end purpose: distribution
    Electricity distribution

    File:Electricity grid simple- North America.svg|thumb|380px|right|Simplified diagram of AC electricity distribution from generation stations to consumers...
    , rectifier
    Rectifier

    A rectifier is an electrical device that converts alternating current to direct current , a process known as rectification. Rectifiers have many uses including as components of power supply and as detector s of radio signals....
    , arc furnace, amplifier output;
  • By winding turns ratio: step-up, step-down, isolating (equal or near-equal ratio), variable.


Construction


Cores

Transformer

Laminated steel cores
Transformers for use at power or audio frequencies typically have cores made of high permeability
Permeability (electromagnetism)

In electromagnetism, permeability is the degree of magnetization of a material that responds linearly to an applied magnetic field. Magnetic permeability is typically represented by the Greek letter Mu ....
 silicon steel. The steel has a permeability many times that of free space
Free space

In classical physics, free space is a concept of electromagnetic theory, corresponding to a theoretically perfect vacuum, and sometimes referred to as the vacuum of free space....
, and the core thus serves to greatly reduce the magnetizing current, and confine the flux to a path which closely couples the windings. Early transformer developers soon realized that cores constructed from solid iron resulted in prohibitive eddy-current losses, and their designs mitigated this effect with cores consisting of bundles of insulated iron wires. Later designs constructed the core by stacking layers of thin steel laminations, a principle that has remained in use. Each lamination is insulated from its neighbors by a thin non-conducting layer of insulation. The universal transformer equation
Transformer

A transformer is a device that transfers electrical energy from one electrical network to another through inductive coupling conductors — the transformer's coils or "windings"....
 indicates a minimum cross-sectional area for the core to avoid saturation.

The effect of laminations is to confine eddy currents to highly elliptical paths that enclose little flux, and so reduce their magnitude. Thinner laminations reduce losses, but are more laborious and expensive to construct. Thin laminations are generally used on high frequency transformers, with some types of very thin steel laminations able to operate up to 10 kHz.

One common design of laminated core is made from interleaved stacks of E-shaped steel sheets capped with I-shaped pieces, leading to its name of "E-I transformer". Such a design tends to exhibit more losses, but is very economical to manufacture. The cut-core or C-core type is made by winding a steel strip around a rectangular form and then bonding the layers together. It is then cut in two, forming two C shapes, and the core assembled by binding the two C halves together with a steel strap. They have the advantage that the flux is always oriented parallel to the metal grains, reducing reluctance.

A steel core's remanence
Remanence

[Image:B-H loop.png|thumb|A family of hysteresis loops for grain-oriented electrical steel Remanence is the magnetization left behind in a medium after an external magnetic field is removed....
 means that it retains a static magnetic field when power is removed. When power is then reapplied, the residual field will cause a high inrush current
Inrush current

Inrush current or input surge current refers to the maximum, instantaneous input current drawn by an electrical device when first turned on....
 until the effect of the remaining magnetism is reduced, usually after a few cycles of the applied alternating current. Overcurrent protection
Relay

A relay is an electrical switch that opens and closes under the control of another electrical circuit. In the original form, the switch is operated by an magnet to open or close one or many sets of contacts....
 devices such as fuses
Fuse (electrical)

In electronics and electrical engineering a fuse is a type of overcurrent protection device. Its essential component is a metal wire or strip that melts when too much current flows, which breaks the electrical network in which it is connected, thus protecting the circuit's other components from damage due to excessive current....
 must be selected to allow this harmless inrush to pass. On transformers connected to long, overhead power transmission lines, induced currents due to geomagnetic disturbances
Geomagnetically induced current

Geomagnetically induced currents , affecting the normal operation of long technological Electrical conductor systems, are a manifestation at ground level of space weather....
 during solar storm
Geomagnetic storm

A geomagnetic storm is a temporary disturbance of the Earth's magnetosphere caused by a disturbance in space weather. Associated with solar coronal mass ejections , coronal holes, or solar flares, a geomagnetic storm is caused by a solar wind shock wave which typically strikes the Earth's magnetic field 24 to 36 hours after the event....
s can cause saturation of the core and operation of transformer protection devices.

Distribution transformers can achieve low no-load losses by using cores made with low-loss high-permeability silicon steel or amorphous (non-crystalline) metal alloy. The higher initial cost of the core material is offset over the life of the transformer by its lower losses at light load.

Solid cores
Powdered iron
Iron

Iron is a chemical element with the symbol Fe and atomic number 26. Iron is a Group 8 element and period 4 element. Iron is lustrous and silvery in color....
 cores are used in circuits (such as switch-mode power supplies) that operate above main frequencies and up to a few tens of kilohertz. These materials combine high magnetic permeability
Permeability (electromagnetism)

In electromagnetism, permeability is the degree of magnetization of a material that responds linearly to an applied magnetic field. Magnetic permeability is typically represented by the Greek letter Mu ....
 with high bulk electrical resistivity
Resistivity

Electrical resistivity is a measure of how strongly a material opposes the flow of electric current. A low resistivity indicates a material that readily allows the movement of electrical charge....
. For frequencies extending beyond the VHF band
Very high frequency

VHF is the radio frequency range from 30 megahertz to 300 megahertz. Frequencies immediately below VHF are denoted High frequency , and the next higher frequencies are known as Ultra high frequency ....
, cores made from non-conductive magnetic ceramic
Ceramic

File:Bridge from dental porcelain.jpgFile:Qing vase p1070256.jpgA ceramic is an inorganic, nonmetal solid prepared by the action of heat and subsequent cooling....
 materials called ferrites
Ferrite (magnet)

Ferrites are a class of chemical compounds with the Chemical formula AB2O4, where A and B represent various metal cations, usually including iron....
 are common. Some radio-frequency transformers also have movable cores (sometimes called 'slugs') which allow adjustment of the coupling coefficient (and bandwidth) of tuned radio-frequency circuits.

Toroidal cores

Toroidal transformers are built around a ring-shaped core, which, depending on operating frequency, is made from a long strip of silicon steel
Steel

Steel is an alloy consisting mostly of iron, with a carbon content between 0.2% and 2.14% by weight , depending on grade. Carbon is the most cost-effective alloying material for iron, but various other alloying elements are used such as manganese, chromium, vanadium, and tungsten....
 or permalloy
Permalloy

Permalloy is the term for a nickel iron magnetic alloy. Generically, it refers to an alloy with about 20% iron and 80% nickel content. Permalloy has a high Permeability , low coercivity, near zero magnetostriction, and significant anisotropic magnetoresistance....
 wound into a coil, powdered iron, or ferrite
Ferrite (magnet)

Ferrites are a class of chemical compounds with the Chemical formula AB2O4, where A and B represent various metal cations, usually including iron....
. A strip construction ensures that the grain boundaries
Grain boundary

A grain boundary is the interface between two Crystallite in a polycrystalline material. Grain boundaries disrupt the motion of dislocations through a material, so reducing crystallite size is a common way to improve strength, as described by the Hall-Petch relationship....
 are optimally aligned, improving the transformer's efficiency by reducing the core's reluctance. The closed ring shape eliminates air gaps inherent in the construction of an E-I core. The cross-section of the ring is usually square or rectangular, but more expensive cores with circular cross-sections are also available. The primary and secondary coils are often wound concentrically to cover the entire surface of the core. This minimizes the length of wire needed, and also provides screening to minimize the core's magnetic field from generating electromagnetic interference
Electromagnetic interference

Electromagnetic interference is an unwanted disturbance that affects an electrical circuit due to either electromagnetic conduction or electromagnetic radiation emitted from an external source....
.

Toroidal transformers are more efficient than the cheaper laminated E-I types for a similar power level. Other advantages compared to E-I types, include smaller size (about half), lower weight (about half), less mechanical hum (making them superior in audio amplifiers), lower exterior magnetic field (about one tenth), low off-load losses (making them more efficient in standby circuits), single-bolt mounting, and greater choice of shapes. The main disadvantages are higher cost and limited power capacity (see "Classification" above).

Ferrite toroidal cores are used at higher frequencies, typically between a few tens of kilohertz to a megahertz, to reduce losses, physical size, and weight of switch-mode power supplies
Switched-mode power supply

A switched-mode power supply is an electronic power supply unit that incorporates a switching regulator. While a linear regulator maintains the desired output voltage by dissipating excess power in a pass power transistor, the Switched-mode power supply switches a power transistor between saturation and cutoff with a variable duty cycl...
. A drawback of toroidal transformer construction is the higher cost of windings. As a consequence, toroidal transformers are uncommon above ratings of a few kVA. Small distribution transformers may achieve some of the benefits of a toroidal core by splitting it and forcing it open, then inserting a bobbin containing primary and secondary windings.

Air cores
A physical core is not an absolute requisite and a functioning transformer can be produced simply by placing the windings in close proximity to each other, an arrangement termed an "air-core" transformer. The air which comprises the magnetic circuit is essentially lossless, and so an air-core transformer eliminates loss due to hysteresis
Hysteresis

A system with hysteresis can be summarized as a system that may be in any number of states, independent of the inputs to the system. To be exact, a system with hysteresis exhibits path-dependence, or "rate-independent memory"....
 in the core material. The leakage inductance is inevitably high, resulting in very poor regulation, and so such designs are unsuitable for use in power distribution. They have however very high bandwidth, and are frequently employed in radio-frequency applications, for which a satisfactory coupling coefficient is maintained by carefully overlapping the primary and secondary windings.

Windings


The conducting material
Electrical conductor

In science and Electrical engineering, an electrical conductor is a material which contains movable electric charges. In metallic conductors, such as copper or aluminum, the movable charged particles are electrons ....
 used for the windings depends upon the application, but in all cases the individual turns must be electrically insulated from each other to ensure that the current travels throughout every turn. For small power and signal transformers, in which currents are low and the potential difference between adjacent turns is small, the coils are often wound from enamelled magnet wire
Enameled wire

Enameled wire is copper wire coated with a very thin insulating layer. It is used in applications such as winding electric motor coils, speakers and transformers....
, such as Formvar wire. Larger power transformers operating at high voltages may be wound with copper rectangular strip conductors insulated by oil-impregnated paper and blocks of pressboard
Transformerboard

A Transformerboard is the brand name of a cellulose Electrical insulation layer for electrical transformers made popular during the early-mid 20th century....
.

High-frequency transformers operating in the tens to hundreds of kilohertz often have windings made of braided litz wire
Skin effect

The skin effect is the tendency of an alternating current to distribute itself within a Conductor so that the current density near the surface of the conductor is greater than that at its core....
 to minimize the skin-effect and proximity effect
Proximity effect (electromagnetism)

In a conductor carrying current, if currents are flowing through one or more other nearby conductors, such as within a closely wound coil of wire, the distribution of current within the first conductor will be constrained to smaller regions....
 losses. Large power transformers use multiple-stranded conductors as well, since even at low power frequencies non-uniform distribution of current would otherwise exist in high-current windings. Each strand is individually insulated, and the strands are arranged so that at certain points in the winding, or throughout the whole winding, each portion occupies different relative positions in the complete conductor. The transposition equalizes the current flowing in each strand of the conductor, and reduces eddy current losses in the winding itself. The stranded conductor is also more flexible than a solid conductor of similar size, aiding manufacture.

For signal transformers, the windings may be arranged in a way to minimize leakage inductance and stray capacitance to improve high-frequency response. This can be done by splitting up each coil into sections, and those sections placed in layers between the sections of the other winding. This is known as a stacked type or interleaved winding.

Both the primary and secondary windings on power transformers may have external connections, called taps
Tap (transformer)

A transformer tap is a connection point along a transformer winding that allows a certain number of turns to be selected. By this means, a transformer with a variable turns ratio is produced, enabling voltage regulation of the output....
, to intermediate points on the winding to allow selection of the voltage ratio. The taps may be connected to an automatic on-load tap changer for voltage regulation of distribution circuits. Audio-frequency transformers, used for the distribution of audio to public address loudspeakers, have taps to allow adjustment of impedance to each speaker. A center-tapped transformer
Center tap

In electronics, a center tap is a connection made to a point half way along a winding of a transformer or inductor, or along the element of a resistor or a potentiometer....
 is often used in the output stage of an audio power amplifier
Amplifier

Generally, an amplifier or simply amp, is any machine that changes, usually increases, the amplitude of a Signal . The "signal" is usually voltage or current....
 in a push-pull circuit
Push-pull converter

A push?pull converter is a type of DC to DC converter that uses a transformer to change the voltage of a DC power supply. The transformer's ratio is arbitrary but fixed; however, in many circuit implementations the duty cycle of the switching action can be varied to effect a range of voltage ratios....
. Modulation transformers in AM
Amplitude modulation

Amplitude modulation is a technique used in electronic communication, most commonly for transmitting information via a radio carrier wave....
 transmitters are very similar.

Certain transformers have the windings protected by epoxy resin. By impregnating
Resin casting

A resin casting system is a technical installation to process casting resin for the purpose of filling, sealing, covering or soaking technical parts, especially in the field of electricity and electronics like transformers, LCDs and other small and big parts....
 the transformer with epoxy under a vacuum
Vacuum

A vacuum is a volume of space that is essentially empty of matter, such that its gaseous pressure is much less than atmospheric pressure. The word comes from the Latin term for "empty," but in reality, no volume of space can ever be perfectly empty....
, one can replace air spaces within the windings with epoxy, thus sealing the windings and helping to prevent the possible formation of corona and absorption of dirt or water. This produces transformers more suited to damp or dirty environments, but at increased manufacturing cost.

Coolant

High temperatures will damage the winding insulation. Small transformers do not generate significant heat and are cooled by air circulation and radiation of heat. Power transformers rated up to several hundred kVA can be adequately cooled by natural convective
Convection

Convection in the most general terms refers to the movement of molecules within fluids . Convection is one of the major modes of heat transfer and mass transfer....
 air-cooling, sometimes assisted by fans. In larger transformers, part of the design problem is removal of heat. Some power transformers are immersed in transformer oil
Transformer oil

Transformer oil, or insulating oil, is usually a highly-refining mineral oil that is stable at high temperatures and has excellent electrical insulating properties....
 that both cools and insulates the windings. The oil is a highly refined mineral oil
Mineral oil

Mineral oil or liquid petroleumis a by-product in the distillation of petroleum to produce gasoline and other petroleum based products from crude oil....
 that remains stable at transformer operating temperature. Indoor liquid-filled transformers must use a non-flammable liquid, or must be located in fire resistant rooms. Air-cooled dry transformers are preferred for indoor applications even at capacity ratings where oil-cooled construction would be more economical, because their cost is offset by the reduced building construction cost.

The oil-filled tank often has radiators through which the oil circulates by natural convection; some large transformers employ forced circulation of the oil by electric pumps, aided by external fans or water-cooled heat exchangers. Oil-filled transformers undergo prolonged drying processes to ensure that the transformer is completely free of water vapor
Water vapor

Water vapor or water vapour , also aqueous vapor, is the gas phase of water . Water vapor is one Phase of the water cycle within the hydrosphere....
 before the cooling oil is introduced. This helps prevent electrical breakdown under load. Oil-filled transformers may be equipped with Buchholz relay
Buchholz relay

In the field of electric power distribution and transmission, a Buchholz relay, also called a gas relay or a sudden pressure relay, is a safety device mounted on some oil-filled power transformers and reactance , equipped with an external overhead oil reservoir called a conservator....
s, which detect gas evolved during internal arcing and rapidly de-energize the transformer to avert catastrophic failure.

Polychlorinated biphenyl
Polychlorinated biphenyl

Polychlorinated biphenyls are a class of organic compounds with 1 to 10 chlorine atoms attached to biphenyl which is a molecule composed of two benzene rings each containing six carbon atoms....
s have properties that once favored their use as a coolant, though concerns over their environmental persistence
Persistent organic pollutant

Persistent organic pollutants are organic compounds that are resistant to environmental degradation through chemical decomposition, biodegradation, and photolysis processes....
 led to a widespread ban on their use. Today, non-toxic, stable silicone
Silicone

Silicones are largely inert, man-made compounds with a wide variety of forms and uses. Typically heat-resistant, nonstick, and rubberlike, they are commonly used in cookware, medicine, sealants, adhesives, lubricants, and insulation....
-based oils, or fluorinated hydrocarbons
Fluorocarbon

Fluorocarbons, sometimes referred to as perfluorocarbons, are organofluorine compounds that contain only carbon and fluorine bonded together in strong carbon?fluorine bonds....
 may be used where the expense of a fire-resistant liquid offsets additional building cost for a transformer vault. Before 1977, even transformers that were nominally filled only with mineral oils may also have been contaminated with polychlorinated biphenyls at 10-20 ppm. Since mineral oil and PCB fluid mix, maintenance equipment used for both PCB and oil-filled transformers could carry over small amounts of PCB, contaminating oil-filled transformers.

Some "dry" transformers (containing no liquid) are enclosed in sealed, pressurized tanks and cooled by nitrogen
Nitrogen

Nitrogen is a chemical element that has the symbol N and atomic number 7 and atomic mass 14.00674?. Elemental nitrogen is a colorless, odorless, tasteless and mostly inert diatomic gas at standard conditions, constituting 78% by volume of Earth's atmosphere....
 or sulfur hexafluoride
Sulfur hexafluoride

Sulfur hexafluoride is an inorganic compound with the formula . It is a colorless, odorless, non-toxicity and non-flammable gas . has an octahedral geometry, consisting of six fluorine atoms attached to a central sulfur atom....
 gas..

Experimental power transformers in the 2 MVA range have been built with superconducting
Superconductivity

Superconductivity is a phenomenon occurring in certain materials generally at very low temperatures, characterized by exactly zero electrical resistance and the exclusion of the interior magnetic field ....
 windings which eliminates the copper losses, but not the core steel loss. These are cooled by liquid nitrogen
Liquid nitrogen

Liquid nitrogen is a liquefied atmospheric gas produced industrially in large quantities by fractional distillation of liquid air. It is pure nitrogen in a liquid state at very low temperature....
 or helium
Liquid helium

Helium exists in liquid form only at very low temperatures. The boiling point and critical point depend on the isotope of the helium; see the table below for values....
.

Terminals

Very small transformers will have wire leads connected directly to the ends of the coils, and brought out to the base of the unit for circuit connections. Larger transformers may have heavy bolted terminals, bus bars or high-voltage insulated bushings
Bushing (electrical)

A bushing is an electrical engineering component that Insulator a high voltage conductor passing through a metal enclosure. Bushings appear on switchgear, transformers, circuit breakers and other high voltage equipment....
 made of polymers or porcelain. A large bushing can be a complex structure since it must provide careful control of the electric field gradient
Electric field gradient

Mathematically, the electric field gradient is the hessian matrix of the electrical potential V:It is an important structural property of a crystalline solid, where it is defined at the location of a atomic nucleus....
 without letting the transformer leak oil.

Applications

A major application of transformers is to increase voltage before transmitting electrical energy
Electric power transmission

Electric power transmission is the bulk transfer of electrical power , a process in the delivery of electricity to consumers. A power transmission grid typically connects power plants to multiple Electrical substation near a populated area....
 over long distances through wire
Wire

A wire is a single, usually cylinder , elongated string of metal. Wires are used to bear mechanical Structural loads and to carry electricity and telecommunications Wiktionary:signal....
s. Wires have resistance
Electrical resistance

The electrical resistance of an object is a measure of its opposition to the passage of a steady electrical current. An object of uniform cross section will have a resistance proportional to its length and inversely proportional to its cross-sectional area, and proportional to the resistivity of the material....
 and so dissipate electrical energy at a rate proportional to the square of the current through the wire. By transforming electrical power
Power (physics)

In physics, power is the rate at which mechanical work is performed or energy is transmitted, or the amount of energy required or expended for a given unit of time....
 to a high-voltage (and therefore low-current) form for transmission and back again afterwards, transformers enable economic transmission of power
Electric power transmission

Electric power transmission is the bulk transfer of electrical power , a process in the delivery of electricity to consumers. A power transmission grid typically connects power plants to multiple Electrical substation near a populated area....
 over long distances. Consequently, transformers have shaped the electricity supply industry
Electrical power industry

The electrical power industry provides the production and delivery of electrical power , often known as power, or electricity, in sufficient quantities to areas that need electricity through a grid connection....
, permitting generation
Electrical generator

In electricity generation, an electrical generator is a device that converts mechanical energy to electrical energy, generally using electromagnetic induction....
 to be located remotely from points of demand. All but a tiny fraction of the world's electrical power
Electric power

Electric power is defined as the rate at which electrical energy is transferred by an electric circuit. The SI unit of power is the watt .When electric current flows in a circuit, it can transfer energy to do mechanical work or work ....
 has passed through a series of transformers by the time it reaches the consumer.

Transformers are also used extensively in electronic products
Consumer electronics

Consumer electronics include electronic equipment intended for everyday use. Consumer electronics are most often used in entertainment, communications and office productivity....
 to step down the supply voltage
Voltage

Electrical tension is the potential difference between two points of an electrical or electronic circuit, expressed in volts. It is the measurement of the potential for an electric field to cause an electric current in an electrical conductor....
 to a level suitable for the low voltage circuits they contain. The transformer also electrically isolates the end user from contact with the supply voltage.

Signal
Signal (electrical engineering)

In the fields of telecommunications, signal processing, and in electrical engineering more generally, a signal is any time-varying or spatial-varying quantity....
 and audio
Sound

Sound is vibration transmitted through a solid, liquid, or gas, composed of frequencies within the range of hearing and of a threshold of hearing to be heard, or the sensation stimulated in organs of hearing by such vibrations....
 transformers are used to couple stages of amplifier
Amplifier

Generally, an amplifier or simply amp, is any machine that changes, usually increases, the amplitude of a Signal . The "signal" is usually voltage or current....
s and to match devices such as microphone
Microphone

A microphone, sometimes referred to as a mike or?more recently?mic, is an acoustic-to-electric transducer or sensor that converts sound into an electrical signal....
s and record player s to the input of amplifiers. Audio transformers allowed telephone
Telephone

The telephone is a telecommunications device that is used to transmitter and receive electronically or digitally encoded sound between two or more people conversing....
 circuits to carry on a two-way conversation
Hybrid coil

A hybrid coil is a transformer that has three coils, and which is designed to be configured as a electrical network having four branches, that are conjugate in pairs....
 over a single pair of wires. Transformers are also used when it is necessary to couple a differential-mode signal to a ground-referenced signal, and for between external cable
Cable

A cable is a large fiber or metal rope, used for hauling, lifting, or towing, or an assembly of two or more insulated electrical conductors, laid up together as an assembly....
s and internal circuits.

See also

  • Electromagnetism
    Electromagnetism

    Electromagnetism is the physics of the electromagnetic field, a field which exerts a force on Elementary particles with the property of electric charge and which is reciprocally affected by the presence and motion of such particles....
  • Inductor
    Inductor

    An inductor is a Passive component Electronic component that can store energy in a magnetic field created by the electric current passing through it....
  • Polyphase system
    Polyphase system

    A polyphase system is a means of Power distribution alternating current electric power. Polyphase systems have three or more energized electrical conductors carrying alternating currents with a phase between the voltage waves in each conductor....
  • Balun
    Balun

    File:Balun-twisted-pair-to-coaxial-hdr-0a.jpgA balun, , is a type of electrical transformer that can convert electrical Signalling s that are balanced line about ground to signals that are unbalanced line and vice versa....
  • Load profile
    Load profile

    In electrical engineering, a load profile is a graph of the variation in the electrical load versus time. A load profile will vary according to customer type , temperature and holiday seasons....
  • Transformer types
    Transformer types

    A variety of types of electrical transformer are made for different purposes. Despite their design differences, the various types employ the same basic principle as discovered in 1831 by Michael Faraday, and share several key functional parts....
  • Faraday's law of induction
    Faraday's law of induction

    Faraday's law of induction describes a basic law of electromagnetism, which is involved in the working of transformers, inductors, and many forms of electrical generators....
  • Magnetic core
    Magnetic core

    The magnetic core is a key component in electrical and electromechanical devices such as electromagnets, transformers, and inductors. A magnetic core is a magnetic material with a high magnetic permeability, but are usually chosen to be magnetically 'soft', that is, they are made of materials that do not maintain a significant magnetic field...
  • Transformer design
    Transformer design

    This page deals primarily with the design of electrical transformers. For the definition, function, and history, see Transformer.In electrical engineering, practical transformer design requires knowledge of electrical principles, materials, and economics....


External links

  • National High Magnetic Field Laboratory