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A transformer is a static electrical device that transfers energy from one electrical circuit to another by magnetic coupling. It is often used to convert between high and low voltages and accordingly between low and high currents. Basic principlesA simple single phase transformer consists of two electrical conductors called the primary coil and the secondary coil. The primary is fed with a varying (alternating or pulsed continuous) electric current which creates a varying magnetic field around the conductor. According to the principle of mutual inductance, the secondary, which is placed in this varying magnetic field, will develop a potential difference called an electromotive force or EMF. If the ends of the secondary are connected together to form an electrical circuit, this EMF will cause a current to flow in the secondary. Thus, some of the electrical power fed into the primary is delivered to the secondary. In practical transformers, the primary and secondary conductors are coils of wire (usually copper), because a coil creates a denser magnetic field (higher magnetic flux) than a straight conductor. Transformers cannot do the following:
Electrical lawsConsider the following two laws:
It follows from the above two laws that a transformer is not an amplifier. If the transformer is used to change power from one voltage to another, the magnitudes of the currents in the two windings must also be different, in inverse ratio to the voltages. Thus if current were to be brought down by the transfomer, voltage would go up. If voltage were to be brought down by the transformer, current would go up. The power would stay the same though. Suppose 50 watts is fed into a transformer with a ratio of 25:2.
50 W = 25 A * 2 V in the primary circuit
50 W = 2 A * 25 V in the secondary circuit. The high-current low-voltage windings have fewer turns of wire. The high-voltage, low-current windings have more turns of wire. The electromotive force (EMF) developed in the secondary is proportional to the ratio of the number of turns in the secondary coil to the number of turns in the primary coil. Neglecting all leakage flux, an ideal tranformer follows the equation:
Where <math>V_p<math> is the voltage in the primary coil, <math>V_s<math> is the voltage in the secondary coil, <math>N_p<math> is the number of turns of wire on the primary coil, and <math>N_s<math> is the number of turns of wire on the secondary coil. This leads to the commonest use of the transformer: to convert power at one voltage to power at a different voltage. Again, neglecting leakage flux, the relationship between voltage, number of turns, magnetic flux intensity and core area is given by:
Where <math>E<math> is the sinsuoidal root mean square (RMS) voltage of the winding, <math>F<math> is the frequency in hertz, <math>n<math> is the number of turns of wire, <math>a<math> is the area of the core (square units) and <math>b<math> is magnetic flux density in webers per square unit. The value 4.44 collects a number of constants required by the system of units. Practical transformersTransformers come in a range of sizes from a thumbnail-sized coupling transformer hidden inside a stage microphone to million-kilowatt units used to interconnect large portions of national power grids, all operating with the same basic principles and with many similarities in their parts. A rough classification of transformers by the power handled in the circuit, in watts (or, more accurately, VA (volt amperes)):
Transformers can be classified into various types according to the ratio of the numbers of turns in the coils, as well as whether or not the primary and secondary are isolated:
In all cases the primary winding, or the secondary winding, or both, may have taps that allow selection of one of several different ratios of primary to secondary turns. LossesAn ideal transformer would have no loss, and would therefore be 100% efficient. Large power transformers are often more than 98% efficient, in terms of energy supplied to the primary winding of the transformer and coupled to the secondary. The remaining 2% (or less) of the input energy is lost to:
Small transformers, such as a plug-in "wall wart"/"power brick" used to power small consumer electronics, often have high losses and may be less than 85% efficient. The familliar hum or buzzing noise heard near transformers is a result of stray fields causing components of the tank to vibrate, and also due to magnetostriction vibration of the core. DesignsInventionThose credited with the invention of the transformer include:
Circuit symbolsStandard symbols ConstructionA transformer must have:
In transformers designed to operate at low frequencies, the windings are usually formed around an iron core. This helps to confine the magnetic field within the transformer and increase its efficiency, although the presence of the core causes energy losses. Power transformers are further classified by the exact arrangement of the core and windings as "shell type", "core type" and also by the number of "limbs" that carry the flux (3, 4 or 5 for a 3-phase transformer). The differences in the performance of each of these types, while of continuing interest to specialists, is perhaps more detail than is appropriate for a general encyclopedia. Steel coresTransformers often have silicon steel cores to channel the magnetic field. This keeps the field more concentrated around the wires, so that the transformer is more compact. The core of a power transformer must be designed so that it does not reach magnetic saturation. Carefully designed gaps are sometimes placed in the magnetic path to help prevent saturation. Practical transformer cores are always made of many stamped pieces of thin steel. The high resistance between layers reduces eddy currents in the cores that waste power by heating the core. These are common in power and audio circuits. A typical laminated core is made from E-shaped and I-shaped pieces, leading to the name "EI transformer". Missing image Transformer.filament.agr.jpg Laminated core transformer. Solid coresIn higher frequency circuits such as switch-mode power supplies, powdered iron cores are sometimes used. These materials combine a high magnetic permeability with a high material resistivity. At even higher frequencies (radio frequencies typically) other types of core made of nonconductive magnetic materials, such as various ceramic materials called ferrites are common. Some transformers in radio-frequency circuits have adjustable cores which allow tuning of the coupling circuit. Air coresHigh-frequency transformers in low-power circuits may have air cores. These eliminate the loss due to hysteresis in the core material. Such transformers maintain high coupling efficiency (low stray field loss) by overlapping the primary and secondary windings. Toroidal coresToroidal transformers are built around a ring-shaped core, which is made from a long strip of silicon steel wound into a coil. This construction ensures that all the grain boundaries are pointing in the optimum direction, making the transformer more efficient by reducing the core's reluctance, and eliminates the air gaps inherent in the construction of an EI 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 wound concentrically to cover the entire surface of the core. This minimises the length of wire needed, and also provides screening to prevent the core's magnetic field from generating electromagnetic interference. Toroidal cores for use at frequencies up to a few tens of kilohertz may also be made of ferrite material to reduce losses. Such transformers are used in switch-mode power supplies. Toroidal transformers are more efficient (around 95%) than the cheaper laminated EI types. Other advantages, compared to EI 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 more choice of shapes. This last point means that, for a given power output, either a wide, flat toroid or a tall, narrow one with the same electrical properties can be chosen, depending on the space available. The main disadvantage is higher cost. Another problem, significant in larger transformers of more than a few hundred watts output, is the higher inrush current (the extra current that flows for a short period when the transformer is first switched on), which can cause mains fuses to blow unless current-limiting circuitry is added. When fitting a toroidal transformer, it is important to avoid making an unintentional short-circuit through the core (e.g. by carelessly fitting a steel mounting bolt through the middle and fastening it to metalwork at both ends). This would cause a large current to flow through the bolt, converting all of the mains input power into heat, and blowing the input fuse. To avoid this, only one end of the mounting bolt must be fixed to the surrounding metalwork. WindingsThe winding material depends on the application. Small power and signal transformers are wound with insulated solid copper wire. Larger power transformers may be wound with wire, copper or aluminum rectangular conductors, or strip conductors for very heavy currents. High frequency transformers operating in the tens to hundreds of kilohertz will have windings made of Litz wire, to minimize the eddy current losses in the conductors. Very large power tranformers will also have multiple strands in the winding, for the same reason (see skin effect). Windings on both primary and secondary of a power transformer may have taps to allow adjustment of the voltage ratio; taps may be connected to automatic on-load tapchanger switchgear for voltage regulation of distribution circuits. InsulationThe conductor material must have insulation to ensure the current travels around the core, and not through a turn-to-turn short-circuit. In power transformers, the voltage difference between parts of the primary and secondary windings can be quite large. Layers of insulation are inserted between layers of windings to prevent arcing. ShieldingAlthough an ideal transformer is purely magnetic in operation, the close proximity of the primary and secondary windings can create a mutual capacitance between the windings. An electrostatic shield can be placed between windings to minimize this effect, where transformers are intended for high electrical isolation between primary and secondary circuits. CoolantSmall transformers up to a few thousand watts in size usually are adequately cooled by air circulation. Larger "dry" type transformers may have cooling fans. High-power or high-voltage transformers are bathed in highly-refined mineral oil that is stable at high temperatures. Large transformers to be used indoors must use a non-flammable liquid. Formerly, polychlorinated biphenyl, "PCB" was used as it was not a fire hazard in indoor power transformers. Due to the stability of PCB and its environmental accumulation, it is no longer permitted in new equipment. Today, nontoxic, stable silicone-based or fluorinated hydrocarbons may be used, where the expense of a fire-resistant liquid offsets additional building cost for a transformer vault. Other less-flammable fluids such as canola oil may be used but all fire resistant fluids have some drawbacks in performance, cost, or toxicity compared with mineral oil. The oil cools the transformer, and provides part of the electrical insulation between internal live parts. It has to be stable at high temperatures so that a small short or arc will not cause a breakdown or fire. To improve cooling of large power transformers, the oil-filled tank may have radiators through which the oil circulates by natural convection. Very large or high-power transformers (with capacities of millions of watts) may have cooling fans, oil pumps and even oil to water heat exchangers. Large and high-voltage transformers undergo prolonged drying processes, using electrical self-heating, the application of a vacuum, or both to ensure that the transformer is completely free of water vapor before the cooling oil is introduced. This helps prevent electrical breakdown under load. Experimental power transformers in the 2000 kVA range have been built with superconducting windings which eliminates the copper losses, but not the core steel loss. These are cooled by liquid nitrogen or helium. TerminalsVery 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 made of polymers or porcelain. A large bushing can be a complex structure since it must both provide electrical insulation, and contain oil within the transformer tank. AutotransformersAn autotransformer has only a single winding, which is tapped at some point along the winding. AC or pulsed DC power is applied across a portion of the winding, and a higher (or lower) voltage is produced across another portion of the same winding. Autotransformers are used to compensate for voltage drop in a distribution system or for matching two transmission voltages, for example 115,000 V and 138,000 V. For voltage ratios, not exceeding about 3:1, an autotransformer is less costly,lighter, smaller and more efficient than a two-winding transformer of a similar rating. Variac is a trademark of General Radio (mid-20th century) for a variable autotransformer intended to conveniently vary the output voltage for a steady AC input voltage. The term is often used to describe similar variable autotransformers made by other makers. A variable autotransformer is an efficient and quiet method for adjusting the voltage to incandescent lamps. While lightweight and compact semiconductor light dimmers have replaced variacs in many applications such as theatrical lighting, variable autotransformers are still used when an undistorted variable voltage sine wave is required. Polyphase transformersFor three phase power, three separate transformers can be used, or all three phases can be connected to a single polyphase transformer. Resonant transformersA resonant transformer is one that operates at the resonant frequency of one or more of its coils. The resonant coil, usually the secondary, acts as an inductor, and is connected in series with a capacitor. If the primary coil is driven by a periodic source of alternating current, such as a square or sawtooth wave, each pulse of current helps to build up an oscillation in the secondary coil. Due to resonance, a very high voltage can develop across the secondary, until it is limited by some process such as electrostatic breakdown. These devices are therefore used to generate high alternating voltages. The current available from this type of coil can be much larger than that from electrostatic machines such as the Van de Graaff generator and Wimshurst machine. Examples:-
Other applications of resonant transformers are as coupling between stages of a superheterodyne receiver, where a large measure of the selectivity of the receiver is provided by the tuned transformers of the intermediate-frequency amplifiers. A voltage regulating transformer uses a resonant winding and allows part of the core to go into saturation on each cycle of the alternating current. This effect stabilizes the output of the regulating transformer, which can be used for equipment that is sensitive to variations of the supply voltage. Saturating transformers provide a simple rugged method to stabilize an ac power supply. However, due to the hysteresis losses accompanying this type of operation, efficiency is low. Current TransformersMissing image CurrentTransformers.jpg Current transformers used as part of metering equipment for three-phase 400 Amp electricity supply Current transformers are commonly used in electricity meters to facilitate the measurement of large currents which would be difficult to measure more directly. Care must be taken that the secondary of a current transformer is not disconnected from its load while current is flowing in the primary as in this circumstance a very high voltage would be produced across the secondary. Current transformers are often constructed with a single primary turn either as an insulated cable passing through a toroidal core, or else as a bar to which circuit conductors are connected. Uses of transformers
See also
da:Transformator de:Transformator es:Transformador et:Transformaator fr:Transformateur électrique he:שנאי id:Transformator ja:変圧器 nl:Transformator pl:Transformator ru:Трансформатор fi:Muuntaja sv:Transformator
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