Apg Jitendra Report on Tranformer (Repaired)

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    1

    APGSHIMLA UNIVERSITY

    WHERE NATURE NURTURES YOUNG MINDS

    REPORTON

    TRANSFORMERSUBMITTED BY SUBMITTED TO

    JITENDRA BAITHA MISS.KUSHA PANDIT

    APG10910313013

    B-TECH (EEE) (1ST

    YEAR) (2ND

    SEM)

    [email protected]

    mailto:[email protected]:[email protected]:[email protected]
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    Acknowledgement

    I am at loss of wards to can way my gratitude

    and thanks to miss. Kusha Pandit, my communication skill lec-

    ture. Her valuable guidance, enthusiasm, conversation repeated

    loving threats, and rich knowledge base helped me to material

    this study on my topic successfully.

    I am ever grateful to my guardian who helped me a

    lot in my research. I am also grateful to my librarian man who

    helped me to search various books and other source such as the

    internet. Books on my respective topic competing my report.

    By:-

    JITENDRA BAITHA

    B-Tech [EEE]APG10910313013

    [email protected]

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    1.PREFACE2. Basic principles

    2.1 Ideal transformer

    2.2Induction law

    2.3Polarity

    2.4 Real transformer

    2.5Leakage flux

    2.6Equivalent circuit

    3. Basic transformer parameters and construc-tion

    3.1. Effect of frequency

    3.2. Energy losses3.3 .Core form and shell form transformers

    4 Constructions

    4.1. Cores

    4.2. Laminated steel cores

    4.3. Solid cores

    4.4. Steroidal cores

    4.5. Air cores

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    4.6 Windings

    4.7 Cooling

    4.8 Insulation drying

    4.9 Bushings

    5 Classification parameters

    6 Types

    7application

    8 Histories

    8.1Discovery of induction

    8.2 Induction coils

    8.3 First alternating current transformers

    8.4Early series circuit transformer distribution

    8.5Closed-core transformers and parallelpower distribution

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    at very low power levels, andpower transformers, which process

    thousands of watts of power. Electronic

    Transformers are used in consumer electronic equipment like tele-

    vision sets, VCRs, CD players, personal

    Computers, and many other devices, to reduce the level of voltagefrom 220V (available from the AC mains) to

    The desired level at which the device operates. Power transformers

    are used in power generation, transmission

    And distribution systems to raise or lower the level of voltage to

    the desired levels. The basic principle of

    Operation of both types of transformers is the same.

    In this chapter, we will first review some of the basic concepts ofmagnetic circuits, which are fundamental

    Building blocks in transformers and electric machinery. In order to

    understand how a transformer operates, we

    Will examine two inductors that are placed in close proximity to

    one another. The concepts of such magnetic

    Coupled circuits will be extended to the development of trans-

    formers. After understating the relationshipsBetween voltages and currents, we will look at some practical con-

    siderations regarding the use of transformers.

    The main learning objectives for this chapter are listed below.

    Basic principles

    2.1IDEAL TRANSFORMER

    Ideal transformer with a source and a load. NPand NS

    are the number of turns in the primary and secondary

    windings respectively.

    Referring to the diagram at right, the ideal transformer is a theoret-

    ical, lineartransformer that is

    lossless, there are noenergy losses, and Perfectly coupled,fluxis completely confined within

    the magnetic core.

    Perfect coupling implies infinitely high core magnetic permea-

    bilityand winding impedances and zero net magneto motive force

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    (Amp-turns) (otherwise there would be infinite flux), whereby

    hence

    IPNP- ISNS= 0, and

    No current flows in the primary winding when there isno secondary winding load.

    The ideal transformer induces secondary voltage VSas a propor-

    tion of the primary voltage VPand respective winding turns as giv-

    en by the equation

    as is the winding turns ratio, the value of these ratios

    being respectively higher and lower than unity forstep-down and step-up transformers,

    VPdesignates source impressed voltage, and

    VSdesignate output voltage.

    According to this formalism, when the number of turns in the

    primary coil is greater than the number of turns in the secondarycoil, the secondary voltage is smaller than the primary voltage. Onthe other hand, when the numberof turns in the primary coil is less than

    the number of turns in the secondary, the secondary voltage is greater

    than the primary voltage.

    Any load impedanceZLconnected to the ideal transformer's sec-

    ondary winding allows energy to flow without loss from primary to

    secondary circuits. The resulting input and output apparent powerare equal as given by the equation

    Combining the two equations yields the following ideal

    transformer identity

    This formula is a reasonable approximation for the typical

    commercial transformer, with voltage ratio and winding turnsratio both being inversely proportional to the corresponding

    current ratio.

    The load impedance ZLand secondary voltage VSdetermine

    the secondary current ISas follows

    http://en.wikipedia.org/wiki/Ampere-turnhttp://en.wikipedia.org/wiki/Impedance_%28electrical%29http://en.wikipedia.org/wiki/Volt-amperehttp://en.wikipedia.org/wiki/Volt-amperehttp://en.wikipedia.org/wiki/Impedance_%28electrical%29http://en.wikipedia.org/wiki/Ampere-turn
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    The apparent impedance ZL' of this secondary circuit load

    referredto the primary winding circuit is governed by a

    squared turns ratio multiplication factor relationship derived

    as follows

    For an ideal transformer, the power supplied to the primary andthe power dissipated by the load are equal. If ZL= RLwhere RLis a

    pure resistance then the power is given by:[9][10]

    The primary current is given by the following equation

    2.2Induction law

    A varying electrical current passing through the primary coilcreates a varying magnetic field around the coil which induces a

    voltage in the secondary winding. The primary and secondary

    windings are wrapped around a core of very high magnetic perme-

    ability, usually iron, so that most of the magnetic flux passes

    through both the primary and secondary coils. The current through

    a load connected to the secWinding and the voltage across it flow in the directions indicat-

    ed in the figure.

    Ideal transformer and induction law

    The voltage induced across the secondary coil may be calculated

    from Faraday's law of induction, which states that:

    where Vsis the instantaneous voltage, Nsis the number of

    turns in the secondary coil, and do/dot is the derivative[d]of

    the magnetic flux through one turn of the coil. If the turns of

    the coil are oriented perpendicularly to the magnetic field

    lines, the flux is the product of themagnetic flux density Band

    the areaAthrough 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 trans-

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    former, the instantaneous voltage across the primary winding

    equals

    Taking the ratio of the above two equations gives the same

    voltage ratio and turns ratio relationship shown above, that is,

    The changing magnetic field induces an emf across each

    winding.[11]The primary emf, acting as it does in opposition to

    the primary voltage, is sometimes termed thecounter emf.

    This is in accordance withLenz's law,which states that induc-

    tion of emf always opposes development of any such change in

    magnetic field.

    As still lossless and perfectly-coupled, the transformer still be-

    haves as described above in the ideal transformer.

    2.3Polarity

    A dot conventionis often used in transformer circuit diagrams,

    nameplates or terminal markings to define the relative polarity oftransformer windings. Positively-increasing instantaneous current

    entering the primary winding's dot end induces positive polarity

    voltage at the secondary winding's dot end.

    2.4REAL TRANSFORMER

    The ideal transformer model neglects the following basic linear

    aspects in real transformers.

    Core losses, collectively called magnetizing current losses, consist

    of

    Hysteresislosses due to nonlinear application of the volt-

    age applied in the transformer core, and

    Eddy currentlosses due to joule heating in the core that are

    proportional to the square of the transformer's appliedvoltage.

    Whereas windings in the ideal model have no impedance, the

    windings in a real transformer have finite non-zero impedances in

    the form of:

    http://c/Users/jitendar%20raj/Documents/Bluetooth%20Folder/Transformer.htm%23cite_note-Heathcote_.281998.29-15http://c/Users/jitendar%20raj/Documents/Bluetooth%20Folder/Transformer.htm%23cite_note-Heathcote_.281998.29-15http://c/Users/jitendar%20raj/Documents/Bluetooth%20Folder/Transformer.htm%23cite_note-Heathcote_.281998.29-15http://en.wikipedia.org/wiki/Counter-electromotive_forcehttp://en.wikipedia.org/wiki/Lenz%27s_lawhttp://en.wikipedia.org/wiki/Transformer#The_ideal_transformerhttp://c/Users/jitendar%20raj/Documents/Bluetooth%20Folder/Transformer.htm%23Polarityhttp://en.wikipedia.org/wiki/Dot_conventionhttp://en.wikipedia.org/wiki/Magnetic_core#Core_losshttp://en.wikipedia.org/wiki/Magnetic_core#Core_losshttp://en.wikipedia.org/wiki/Magnetic_core#Core_losshttp://en.wikipedia.org/wiki/Magnetic_core#Core_losshttp://en.wikipedia.org/wiki/Dot_conventionhttp://c/Users/jitendar%20raj/Documents/Bluetooth%20Folder/Transformer.htm%23Polarityhttp://en.wikipedia.org/wiki/Transformer#The_ideal_transformerhttp://en.wikipedia.org/wiki/Lenz%27s_lawhttp://en.wikipedia.org/wiki/Counter-electromotive_forcehttp://c/Users/jitendar%20raj/Documents/Bluetooth%20Folder/Transformer.htm%23cite_note-Heathcote_.281998.29-15
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    Joule losses due to resistance in the primary and secondary

    windings[19]

    Leakage flux that escapes from the core and passes through

    one winding only resulting in primary and secondary reac-

    tive impedance.

    If a voltage is applied across the primary terminals of a real trans-

    former while the secondary winding is open without load, the real

    transformer must be viewed as a simple inductor with an imped-

    ance Z:Leakage flux Main article:Leakage inductanceLeakage

    flux of a transformer

    The ideal transformer model assumes that all flux generated bythe 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 inleakage

    inductancein serieswith the mutually coupled transformer wind-

    ings. Leakage flux results in energy being alternately stored in anddischarged from the magnetic fields with each cycle of the power

    supply. It is not directly a power loss, but results in inferiorvoltage regulation, causing the secondary voltage not to be directly

    proportional to the primary voltage, particularly under heavy load.

    Transformers are therefore normally designed to have very low

    leakage inductance. Nevertheless, it is impossible to eliminate all

    leakage flux because it plays an essential part in the operation of

    the transformer. The combined effect of the leakage flux and the

    electric field around the windings is what transfers energy from theprimary to the secondary.

    In some applications increased leakage is desired, and long mag-

    netic paths, air gaps, or magnetic bypass shunts may deliberately

    be introduced in a transformer design to limit the short-circuitcur-

    rent it will supply. Leaky transformers may be used to supply loads

    that exhibit negative resistance, such as electric arcs,mercury va-

    por lamps, and neon signsor for safely handling loads that becomeperiodically short-circuited such as electric arc welders.

    Air gaps are also used to keep a transformer from saturating, espe-

    cially audio-frequency transformers in circuits that have a DC

    component flowing in the windings.

    http://c/Users/jitendar%20raj/Documents/Bluetooth%20Folder/Transformer.htm%23cite_note-Say_.281984.29-26http://c/Users/jitendar%20raj/Documents/Bluetooth%20Folder/Transformer.htm%23cite_note-Say_.281984.29-26http://en.wikipedia.org/wiki/Leakage_inductancehttp://en.wikipedia.org/wiki/Leakage_inductancehttp://en.wikipedia.org/wiki/Leakage_inductancehttp://en.wikipedia.org/wiki/Series_and_parallel_circuitshttp://en.wikipedia.org/wiki/Voltage_regulationhttp://en.wikipedia.org/wiki/Short_circuithttp://en.wikipedia.org/wiki/Negative_resistancehttp://en.wikipedia.org/wiki/Electric_archttp://en.wikipedia.org/wiki/Mercury_vapor_lamphttp://en.wikipedia.org/wiki/Mercury_vapor_lamphttp://en.wikipedia.org/wiki/Neon_signhttp://en.wikipedia.org/wiki/Arc_weldinghttp://en.wikipedia.org/wiki/Arc_weldinghttp://en.wikipedia.org/wiki/Neon_signhttp://en.wikipedia.org/wiki/Mercury_vapor_lamphttp://en.wikipedia.org/wiki/Mercury_vapor_lamphttp://en.wikipedia.org/wiki/Electric_archttp://en.wikipedia.org/wiki/Negative_resistancehttp://en.wikipedia.org/wiki/Short_circuithttp://en.wikipedia.org/wiki/Voltage_regulationhttp://en.wikipedia.org/wiki/Voltage_regulationhttp://en.wikipedia.org/wiki/Series_and_parallel_circuitshttp://en.wikipedia.org/wiki/Leakage_inductancehttp://en.wikipedia.org/wiki/Leakage_inductancehttp://en.wikipedia.org/wiki/Leakage_inductancehttp://c/Users/jitendar%20raj/Documents/Bluetooth%20Folder/Transformer.htm%23cite_note-Say_.281984.29-26
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    Knowledge of leakage inductance is also useful when transformers

    are operated in parallel. It can be shown that if the percent imped-

    ance (Z) and associated winding leakage reactance-to-resistance

    (X/R) ratio of two transformers were hypothetically exactly the

    same, the transformers would share power in proportion to their re-spective volt-ampere ratings (e.g. 500 kVAunit in parallel with

    1,000 kVA unit, the larger unit would carry twice the current).

    However, the impedance tolerances of commercial transformers

    are significant. Also, the Z impedance and X/R ratio of different

    capacity transformers tends to vary, corresponding 1,000 kVA and

    500 kVA units' values being, to illustrate, respectively, Z ~ 5.75%,

    X/R ~ 3.75 and Z ~ 5%, X/R ~ 4.75.

    Equivalent circuit.

    2.5Leakage flux

    The ideal transformer model assumes that all flux generat-

    ed by the primary winding links all the turns of every winding,

    including itself. In practice, some flux traverses paths that takeit outside the windings. Such flux is termed leakage flux, and

    results inleakage inductancein series with the mutually cou-

    pled transformer windings. Leakage flux results in energy be-

    ing alternately stored in and discharged from the magnetic

    fields with each cycle of the power supply. It is not directly a

    power loss, but results in inferiorvoltage regulation,causing

    the secondary voltage not to be directly proportional to theprimary voltage, particularly under heavy load. Transformers

    are therefore normally designed to have very low leakage in-

    ductance. Nevertheless, it is impossible to eliminate all leakage

    flux because it plays an essential part in the operation of the

    transformer. The combined effect of the leakage flux and the

    electric field around the windings is what transfers energy

    from the primary to the secondary.

    In some applications increased leakage is desired, and long

    magnetic paths, air gaps, or magnetic bypass shunts may delib-

    erately be introduced in a transformer design to limit the

    short-circuit current it will supply.[12]Leaky transformers may

    be used to supply loads that exhibitnegative resistance,such

    http://en.wikipedia.org/wiki/Kilovolt-amperehttp://c/Users/jitendar%20raj/Documents/Bluetooth%20Folder/Transformer.htm%23Leakage_fluxhttp://en.wikipedia.org/wiki/Leakage_inductancehttp://en.wikipedia.org/wiki/Series_and_parallel_circuitshttp://en.wikipedia.org/wiki/Voltage_regulationhttp://en.wikipedia.org/wiki/Short_circuithttp://c/Users/jitendar%20raj/Documents/Bluetooth%20Folder/Transformer.htm%23cite_note-calvert-16http://c/Users/jitendar%20raj/Documents/Bluetooth%20Folder/Transformer.htm%23cite_note-calvert-16http://c/Users/jitendar%20raj/Documents/Bluetooth%20Folder/Transformer.htm%23cite_note-calvert-16http://en.wikipedia.org/wiki/Negative_resistancehttp://en.wikipedia.org/wiki/Negative_resistancehttp://c/Users/jitendar%20raj/Documents/Bluetooth%20Folder/Transformer.htm%23cite_note-calvert-16http://en.wikipedia.org/wiki/Short_circuithttp://en.wikipedia.org/wiki/Voltage_regulationhttp://en.wikipedia.org/wiki/Series_and_parallel_circuitshttp://en.wikipedia.org/wiki/Leakage_inductancehttp://c/Users/jitendar%20raj/Documents/Bluetooth%20Folder/Transformer.htm%23Leakage_fluxhttp://en.wikipedia.org/wiki/Kilovolt-ampere
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    as electric arcs,mercury vapor lamps,andneon signs or for

    safely handling loads that become periodically short-circuited

    such aselectric arc welders.[22]

    Air gaps are also used to keep a transformer from saturating,especially audio-frequency transformers in circuits that have a

    DC component flowing in the windings.

    Knowledge of leakage inductance is also useful when trans-

    formers are operated in parallel. It can be shown that if the

    percent impedance (Z) and associated winding leakage reac-

    tance-to-resistance (X/R) ratio of two transformers were hypo-

    thetically exactly the same, the transformers would share pow-er in proportion to their respective volt-ampere ratings (e.g.

    500kVAunit in parallel with 1,000 kVA unit, the larger unit

    would carry twice the current). However, the impedance toler-

    ances of commercial transformers are significant. Also, the Z

    impedance and X/R ratio of different capacity transformers

    tends to vary, corresponding 1,000 kVA and 500 kVA units'

    values being, to illustrate, respectively, Z ~ 5.75%, X/R ~ 3.75and Z ~ 5%, X/R ~ 4.7

    2.6Equivalent circuit

    Referring to the diagram, a practical transformer's physical be-

    havior may be represented by an equivalent circuit model, which

    can incorporate an ideal transformer.

    Winding joule losses and leakage reactance are represented by

    the following series loop impedances of the model:

    Primary winding: RP,XP

    Secondary winding: RS,XS.

    In normal course of circuit equivalence transformation,RSand

    XSare in practice usually referred to the primary side by multiply-

    ing these impedances by the turns ratio squared, (NP/NS)2= a2.

    Real transformer equivalent circuit

    Core loss and reactance is represented by the following shunt leg

    impedances of the model:

    http://en.wikipedia.org/wiki/Electric_archttp://en.wikipedia.org/wiki/Mercury_vapor_lamphttp://en.wikipedia.org/wiki/Neon_signhttp://en.wikipedia.org/wiki/Arc_weldinghttp://c/Users/jitendar%20raj/Documents/Bluetooth%20Folder/Transformer.htm%23cite_note-Say.2C_p._485-29http://c/Users/jitendar%20raj/Documents/Bluetooth%20Folder/Transformer.htm%23cite_note-Say.2C_p._485-29http://en.wikipedia.org/wiki/Kilovolt-amperehttp://c/Users/jitendar%20raj/Documents/Bluetooth%20Folder/Transformer.htm%23Equivalent_circuithttp://en.wikipedia.org/wiki/Equivalent_circuithttp://en.wikipedia.org/wiki/Equivalent_circuithttp://c/Users/jitendar%20raj/Documents/Bluetooth%20Folder/Transformer.htm%23Equivalent_circuithttp://en.wikipedia.org/wiki/Kilovolt-amperehttp://c/Users/jitendar%20raj/Documents/Bluetooth%20Folder/Transformer.htm%23cite_note-Say.2C_p._485-29http://en.wikipedia.org/wiki/Arc_weldinghttp://en.wikipedia.org/wiki/Neon_signhttp://en.wikipedia.org/wiki/Mercury_vapor_lamphttp://en.wikipedia.org/wiki/Electric_arc
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    linearly with time. In practice, the flux rises to the point where

    magnetic saturationof the core occurs, causing a large increase

    in the magnetizing current and overheating the transformer.

    All practical transformers must therefore operate with alter-

    nating (or pulsed direct) current.

    The emf of a transformer at a given flux density increases

    with frequency. By operating at higher frequencies, transform-

    ers 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. How-

    ever, properties such as core loss and conductorskin effectal-

    so increase with frequency. Aircraft and military equipment

    employ 400 Hz power supplies which reduce core and winding

    weight. Conversely, frequencies used for somerailway electri-

    fication systemswere much lower (e.g. 16.7 Hz and 25 Hz)

    than normal utility frequencies (50 60 Hz) for historical rea-

    sons concerned mainly with the limitations of early electric

    traction motors.As such, the transformers used to step-down

    the high over-head line voltages (e.g. 15 kV) were much heavi-

    er for the same power rating than those designed only for the

    higher frequencies.

    Power transformer over-excitation condition caused by de-

    creased frequency; flux (green), iron core's magnetic charac-

    teristics (red) and magnetizing current (blue).

    Operation of a transformer at its designed voltage but at a

    higher frequency than intended will lead to reduced magnetiz-

    ing current. At a 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-excitationrelaysto protect the transformer from over-

    voltage at higher than rated frequency.

    One example of state-of-the-art design is traction transformers

    used for electric multiple unitand high-speedtrain service operat-

    ing across the country border and using different electrical stand-

    http://en.wikipedia.org/wiki/Saturation_%28magnetic%29http://en.wikipedia.org/wiki/Skin_effecthttp://en.wikipedia.org/wiki/Railway_electrification_systemhttp://en.wikipedia.org/wiki/Railway_electrification_systemhttp://en.wikipedia.org/wiki/Traction_motorhttp://en.wikipedia.org/wiki/Traction_motorhttp://en.wikipedia.org/wiki/Protective_relayhttp://en.wikipedia.org/wiki/Electric_multiple_unithttp://en.wikipedia.org/wiki/High-speed_railhttp://en.wikipedia.org/wiki/High-speed_railhttp://en.wikipedia.org/wiki/Electric_multiple_unithttp://en.wikipedia.org/wiki/Protective_relayhttp://en.wikipedia.org/wiki/Traction_motorhttp://en.wikipedia.org/wiki/Traction_motorhttp://en.wikipedia.org/wiki/Railway_electrification_systemhttp://en.wikipedia.org/wiki/Railway_electrification_systemhttp://en.wikipedia.org/wiki/Skin_effecthttp://en.wikipedia.org/wiki/Saturation_%28magnetic%29
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    ards, such transformers' being restricted to be positioned below the

    passenger compartment. The power supply to, and converter

    equipment being supply by, such traction transformers have to ac-

    commodate different input frequencies and voltage (ranging from

    as high as 50 Hz down to 16.7 Hz and rated up to 25 kV) while be-ing suitable for multiple AC asynchronous motor and DC convert-

    ers & motors with varying harmonics mitigation filtering require-

    ments.

    Large power transformers are vulnerable to insulation failuredue to transient voltages with high-frequency components, such as

    caused in switching or by lightning.

    3.2ENERGY LOSSES

    A theoretical (ideal) transformer does not experience ener-

    gy losses, i.e. it is 100% efficient. The power dissipated by its

    load would be equal to the power supplied by its primary

    source. In contrast, a real transformer is typically 95 to 99% ef-

    ficient, due to several loss mechanisms, including winding re-

    sistance, winding capacitance, leakage flux, core losses, and

    hysteresis loss. Larger transformers are generally more effi-

    cient than small units, and those rated for electricity distribu-

    tion usually perform better than 98%.

    Experimental transformers using superconductingwindings

    achieve efficiencies of 99.85%. The increase in efficiency can

    save considerable energy in a large heavily loaded transform-

    er; the trade-off is in the additional initial and running cost of

    the superconducting design.

    As transformer losses vary with load, it is often useful to ex-

    press these losses in terms of no-load loss, full-load loss, half-

    load loss, and so on.HysteresisandEddy currentlosses are

    constant at all load levels and dominate overwhelmingly with-

    out load, while variable windingjoule lossesdominating in-

    creasingly as load increases. The no-load loss can be signifi-

    cant, so that even an idle transformer constitutes a drain on the

    http://en.wikipedia.org/wiki/Magnetic_core#Core_losshttp://en.wikipedia.org/wiki/Superconductivityhttp://en.wikipedia.org/wiki/Hysteresishttp://en.wikipedia.org/wiki/Eddy_currenthttp://en.wikipedia.org/wiki/Electrical_resistancehttp://en.wikipedia.org/wiki/Electrical_resistancehttp://en.wikipedia.org/wiki/Eddy_currenthttp://en.wikipedia.org/wiki/Hysteresishttp://en.wikipedia.org/wiki/Superconductivityhttp://en.wikipedia.org/wiki/Magnetic_core#Core_loss
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    electrical supply. Designing energy efficient transformersfor

    lower loss requires a larger core, good-quality silicon steel,or

    evenamorphous steel for the core and thicker wire, increasing

    initial cost. The choice of construction represents a trade-off

    between initial cost and operating cost.

    Transformer losses arise from:

    3.3 .Core form and shell form transformers

    Closed-core transformers are constructed in 'core form' or

    'shell form'. When windings surround the core, the transform-

    er is core form; when windings are surrounded by the core, thetransformer is shell form. Shell form design may be more prev-

    alent than core form design for distribution transformer appli-

    cations due to the relative ease in stacking the core around

    winding coils. Core form design tends to, as a general rule, be

    more economical, and therefore more prevalent, than shell

    form design for high voltage power transformer applications atthe lower end of their voltage and power rating ranges (less

    than or equal to, nominally, 230 kV or 75 MVA). At higher volt-

    age and power ratings, shell form transformers tend to be

    more prevalent. Shell form design tends to be preferred for ex-

    tra high voltage and higher MVA applications because, though

    more labor-intensive to manufacture, shell form transformersare characterized as having inherently better kVA-to-weight

    ratio, better short-circuit strength characteristics and higher

    immunity to transit damage

    http://en.wikipedia.org/wiki/Energy_efficient_transformerhttp://en.wikipedia.org/wiki/Electrical_steelhttp://en.wikipedia.org/wiki/Electrical_steel#Amorphous_steelhttp://en.wikipedia.org/wiki/Trade-offhttp://c/Users/jitendar%20raj/Documents/Bluetooth%20Folder/Transformer.htm%23Core_form_and_shell_form_transformershttp://c/Users/jitendar%20raj/Documents/Bluetooth%20Folder/Transformer.htm%23Core_form_and_shell_form_transformershttp://en.wikipedia.org/wiki/Trade-offhttp://en.wikipedia.org/wiki/Electrical_steel#Amorphous_steelhttp://en.wikipedia.org/wiki/Electrical_steelhttp://en.wikipedia.org/wiki/Energy_efficient_transformer
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    4 Construction4.1. Cores

    Laminated core transformer showing edge of laminations at top of photo

    Transformers for use at power or audio frequencies typical-

    ly have cores made of high permeabilitysilicon steel.[44]The

    steel has a permeability many times that offree space and the

    core thus serves to greatly reduce the magnetizing current and

    confine the flux to a path which closely couples the wind-

    ings. Early transformer developers soon realized that coresconstructed from solid iron resulted in prohibitive eddy cur-

    rent losses, and their designs mitigated this effect with cores

    consisting of bundles of insulated iron wires.[46]Later designs

    constructed the core by stacking layers of thin steel lamina-

    tions, 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 indicates a min-imum 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 mag-

    nitude. Thinner laminations reduce losses, but are more labo-

    rious and expensive to construct. Thin laminations are general-

    ly used on high-frequency transformer with some of very thin

    http://c/Users/jitendar%20raj/Documents/Bluetooth%20Folder/Transformer.htm%23Coreshttp://c/Users/jitendar%20raj/Documents/Bluetooth%20Folder/Transformer.htm%23Coreshttp://en.wikipedia.org/wiki/Silicon_steelhttp://en.wikipedia.org/wiki/Transformer#cite_note-Hindmarsh_.281984.29-52http://en.wikipedia.org/wiki/Transformer#cite_note-Hindmarsh_.281984.29-52http://en.wikipedia.org/wiki/Free_spacehttp://en.wikipedia.org/wiki/Transformer#cite_note-allan-54http://en.wikipedia.org/wiki/Transformer#cite_note-allan-54http://en.wikipedia.org/wiki/Transformer#cite_note-allan-54http://en.wikipedia.org/wiki/File:Transformer.filament.agr.jpghttp://en.wikipedia.org/wiki/File:Transformer.filament.agr.jpghttp://en.wikipedia.org/wiki/Transformer#cite_note-allan-54http://en.wikipedia.org/wiki/Free_spacehttp://en.wikipedia.org/wiki/Transformer#cite_note-Hindmarsh_.281984.29-52http://en.wikipedia.org/wiki/Silicon_steelhttp://c/Users/jitendar%20raj/Documents/Bluetooth%20Folder/Transformer.htm%23Cores
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    steel laminations able to operate up to

    Laminating the core greatly reduces eddy-current losses

    One common design of laminated coradefrom interleaved

    stacks ofShapedsteel sheets capped with I-shapedpieces,

    leading to its name of 'E-I transformer'. Such a design tends toexhibit more losses, but is very economical to manufacture.

    The core or C-core type is made by winding 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'seminence means that it retains a static mag-

    netic field when power is removed. When power is then reap-

    plied, the residual field will cause a high inrush currentuntil

    the effect of the remaining magnetism is reduced, usually after

    a few cycles of the applied AC waveform. Over current protec-

    tion devices such asfusesmust be selected to allow this harm-

    less inrush to pass. On transformers connected to long, over-head power transmission lines, induced currents due

    togeomagnetic disturbancesduring solar 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

    oramorphous (non-crystalline) metal alloy.The higher initial

    cost of the core material is offset over the life of the transform-er by its lower losses at light load.

    http://en.wikipedia.org/wiki/E-shapedhttp://en.wikipedia.org/wiki/I-shapedhttp://en.wikipedia.org/wiki/Remanencehttp://en.wikipedia.org/wiki/Inrush_currenthttp://en.wikipedia.org/wiki/Fuse_(electrical)http://en.wikipedia.org/wiki/Geomagnetically_induced_currenthttp://en.wikipedia.org/wiki/Amorphous#Metallic_glasshttp://en.wikipedia.org/wiki/File:Laminering_av_k%C3%A4rna.svghttp://en.wikipedia.org/wiki/File:Laminering_av_k%C3%A4rna.svghttp://en.wikipedia.org/wiki/File:Laminering_av_k%C3%A4rna.svghttp://en.wikipedia.org/wiki/File:Laminering_av_k%C3%A4rna.svghttp://en.wikipedia.org/wiki/Amorphous#Metallic_glasshttp://en.wikipedia.org/wiki/Geomagnetically_induced_currenthttp://en.wikipedia.org/wiki/Fuse_(electrical)http://en.wikipedia.org/wiki/Inrush_currenthttp://en.wikipedia.org/wiki/Remanencehttp://en.wikipedia.org/wiki/I-shapedhttp://en.wikipedia.org/wiki/E-shaped
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    4.3. Solid coresPowdered iron cores are used in circuits such as switch-

    mode power supplies that operate above mains frequencies

    and up to a few tens of kilohertz. These materials combine highmagnetic permeability with high bulk electrical resistivity.For

    frequencies extending beyond theVHF band, cores made from

    non-conductive magnetic ceramicmaterials called ferrites are

    common.[49]Some radio-frequency transformers also have

    movable cores (sometimes called 'slugs') which allow adjust-

    ment of thecoupling coefficient(and bandwidth) of tuned ra-

    dio-frequency circuits.

    Steroidal transformers are biped core, which, depending on

    operating frequency, is made from a long strip ofsilicon

    steelorperm alloywound into a coil, powdered iron,

    orferrite.A strip construction ensures that thegrain bounda-

    riesare optimally aligned; improve in the transformer's effi-

    ciency 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 rectan-

    gular, 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 generat-

    ingelectromagnetic interference.

    Steroidal 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 supe-

    rior in audio amplifiers), lower exterior magnetic field (about

    one tenth), low off-load losses (making them more efficient instandby circuits), single-bolt mounting, and greater choice of

    shapes. The main disadvantages are higher cost and limited

    power capacity (seeClassification parameters below). Because

    of the lack of a residual gap in the magnetic path, steroidal

    http://c/Users/jitendar%20raj/Documents/Bluetooth%20Folder/Transformer.htm%23Solid_coreshttp://en.wikipedia.org/wiki/Resistivityhttp://en.wikipedia.org/wiki/Very_high_frequencyhttp://en.wikipedia.org/wiki/Ceramichttp://en.wikipedia.org/wiki/Ferrite_(magnet)http://en.wikipedia.org/wiki/Transformer#cite_note-McLyman_.282004.29-57http://en.wikipedia.org/wiki/Coupling_coefficienthttp://en.wikipedia.org/wiki/Silicon_steelhttp://en.wikipedia.org/wiki/Silicon_steelhttp://en.wikipedia.org/wiki/Permalloyhttp://en.wikipedia.org/wiki/Ferrite_(magnet)http://en.wikipedia.org/wiki/Grain_boundaryhttp://en.wikipedia.org/wiki/Grain_boundaryhttp://en.wikipedia.org/wiki/Reluctancehttp://en.wikipedia.org/wiki/Electromagnetic_interferencehttp://en.wikipedia.org/wiki/Transformer#Classification_parametershttp://en.wikipedia.org/wiki/Transformer#Classification_parametershttp://en.wikipedia.org/wiki/Electromagnetic_interferencehttp://en.wikipedia.org/wiki/Reluctancehttp://en.wikipedia.org/wiki/Grain_boundaryhttp://en.wikipedia.org/wiki/Grain_boundaryhttp://en.wikipedia.org/wiki/Ferrite_(magnet)http://en.wikipedia.org/wiki/Permalloyhttp://en.wikipedia.org/wiki/Silicon_steelhttp://en.wikipedia.org/wiki/Silicon_steelhttp://en.wikipedia.org/wiki/Coupling_coefficienthttp://en.wikipedia.org/wiki/Transformer#cite_note-McLyman_.282004.29-57http://en.wikipedia.org/wiki/Ferrite_(magnet)http://en.wikipedia.org/wiki/Ceramichttp://en.wikipedia.org/wiki/Very_high_frequencyhttp://en.wikipedia.org/wiki/Resistivityhttp://c/Users/jitendar%20raj/Documents/Bluetooth%20Folder/Transformer.htm%23Solid_cores
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    transformers also tend to exhibit higher inrush current, com-

    pared to laminated E-I types.

    Ferrite steroidal cores are used at higher frequencies, typical-

    ly between a few tens of kilohertz to hundreds of megahertz, to

    reduce losses, physical size, and weight of inductive compo-nents. A drawback of steroidal transformer construction is the

    higher labor cost of winding. This is because it is necessary to

    pass the entire length of a coil winding through the core aper-

    ture each time a single turn is added to the coil. As a conse-

    quence, steroidal transformers rated more than a few kVA are

    uncommon. Small distribution transformers may achieve some

    of the benefits of a steroidal core by splitting it and forcing itopen, then inserting a bobbin containing primary and second-

    ary windings.

    4.4. Steroidal cores

    Small steroidal core transformer

    Steroidal transformers are built around a ring-shaped core,

    which, depending on operating frequency, is made from a long

    strip ofsilicon steelor perm alloy wound into a coil, powdered

    iron, orferrite.A strip construction ensures that thegrain

    boundaries are optimally aligned, improving the transform-

    er's efficiency by reducing the core'sreluctance. The closed

    ring shape eliminates air gaps inherent in the construction ofan E-I core.[21]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

    http://c/Users/jitendar%20raj/Documents/Bluetooth%20Folder/Transformer.htm%23Toroidal_coreshttp://en.wikipedia.org/wiki/Silicon_steelhttp://en.wikipedia.org/wiki/Ferrite_(magnet)http://en.wikipedia.org/wiki/Grain_boundaryhttp://en.wikipedia.org/wiki/Grain_boundaryhttp://en.wikipedia.org/wiki/Reluctancehttp://en.wikipedia.org/wiki/Transformer#cite_note-Say.2C_p._485-27http://en.wikipedia.org/wiki/Transformer#cite_note-Say.2C_p._485-27http://en.wikipedia.org/wiki/Transformer#cite_note-Say.2C_p._485-27http://en.wikipedia.org/wiki/File:Small_toroidal_transformer.jpghttp://en.wikipedia.org/wiki/Transformer#cite_note-Say.2C_p._485-27http://en.wikipedia.org/wiki/Reluctancehttp://en.wikipedia.org/wiki/Grain_boundaryhttp://en.wikipedia.org/wiki/Grain_boundaryhttp://en.wikipedia.org/wiki/Ferrite_(magnet)http://en.wikipedia.org/wiki/Silicon_steelhttp://c/Users/jitendar%20raj/Documents/Bluetooth%20Folder/Transformer.htm%23Toroidal_cores
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    provides screening to minimize the core's magnetic field from

    generatingelectromagnetic interference.

    Steroidal 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), lowerweight (about half), less mechanical hum (making them supe-

    rior 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 (seeClassification parameters below). Because

    of the lack of a residual gap in the magnetic path, steroidaltransformers also tend to exhibit higher inrush current, com-

    pared to laminated E-I types.

    Ferrite steroidal cores are used at higher frequencies, typically

    between a few tens of kilohertz to hundreds of megahertz, to

    reduce losses, physical size, and weight of inductive compo-

    nents. A drawback of steroidal transformer construction is the

    higher labor cost of winding. This is because it is necessary to

    pass the entire length of a coil winding through the core aper-

    ture each time a single turn is added to the coil. As a conse-

    quence, steroidal transformers rated more than a few kVA are

    uncommon. Small distribution transformers may achieve some

    of the benefits of a steroidal core by splitting it and forcing it

    open, then inserting a bobbin containing primary and second-

    ary windings.

    4.5Air coresA physical core is not an absolute requisite and a functioning

    transformer can be produced simply by placing the windings

    near each other, an arrangement termed an 'air-core' trans-

    former. The air which comprises the magnetic circuit is essen-

    tially lossless, and so an air-core transformer eliminates loss

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    due to hysteresis 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,[54]for which a satisfactory cou-pling coefficient is maintained by carefully overlapping the

    primary and secondary windings. They're also used

    forresonant transformers such as Tesla coils where they can

    achieve reasonably low loss in spite of the high leakage induct-

    ance.

    4.5Windings

    Windings are usually arranged concentrically to minimize flux leakage.

    Theconducting materialused for the windings depends up-

    on the application, but in all cases the individual turns must be

    electrically insulated from each other to ensure that the cur-

    rent travels throughout every turn. For small power and signal

    transformers, in which currents are low and the potential dif-

    ference between adjacent turns is small, the coils are oftenwound fromenameled magnet wire,such as forever 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.

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    Cut view through transformer windings. White: insulator.

    Green spiral:Grain oriented silicon steel.Black: Primary wind-

    ing made of oxygen. Red: Secondary winding. Top left: Steroi-

    dal transformer. Right: C-core, but E-core would be similar. The

    black windings are made of film. Top: Equally low capacitancebetween all ends of both windings. Since most cores are at

    least moderately conductive they also need insulation. Bottom:

    Lowest capacitance for one end of the secondary winding

    needed for low-power high-voltage transformers. Bottom left:

    Reduction of leakage inductance would lead to increase of ca-

    pacitance.

    High-frequency transformers operating in the tens to hun-

    dreds of kilohertz often have windings made of braidedLutz

    wire to minimize the skin-effect and proximity effect loss-

    es. Large power transformers use multiple-stranded conduc-

    tors as well, since even at low power frequencies non-uniform

    distribution of current would otherwise exist in high-current

    windings.[56]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.

    The windings of signal transformers minimize leakage in-

    ductance and stray capacitance to improve high-frequency re-

    sponse. Coils are split into sections, and those sections inter-

    leaved between the sections of the other winding.

    Power-frequency transformers may havetapsat intermedi-

    ate points on the winding, usually on the higher voltage wind-

    ing side, for voltage adjustment. Taps may be manually recon-nected, or a manual or automatic switch may be provided for

    changing taps. Automatic on-loadtap changers are used in

    electric power transmission or distribution, on equipment such

    as furnace transformers, or for automatic voltage regulators

    for sensitive loads. Audio-frequency transformers, used for the

    http://en.wikipedia.org/wiki/Electrical_steelhttp://en.wikipedia.org/wiki/Leakage_inductancehttp://en.wikipedia.org/wiki/Litz_wirehttp://en.wikipedia.org/wiki/Litz_wirehttp://en.wikipedia.org/wiki/Transformer#cite_note-cegb_1982-64http://en.wikipedia.org/wiki/Transformer#cite_note-cegb_1982-64http://en.wikipedia.org/wiki/Transformer#cite_note-cegb_1982-64http://en.wikipedia.org/wiki/Tap_(transformer)http://en.wikipedia.org/wiki/Tap_changerhttp://en.wikipedia.org/wiki/Tap_changerhttp://en.wikipedia.org/wiki/Tap_(transformer)http://en.wikipedia.org/wiki/Transformer#cite_note-cegb_1982-64http://en.wikipedia.org/wiki/Litz_wirehttp://en.wikipedia.org/wiki/Litz_wirehttp://en.wikipedia.org/wiki/Leakage_inductancehttp://en.wikipedia.org/wiki/Electrical_steel
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    distribution of audio to public address loudspeakers, have taps

    to allow adjustment of impedance to each speaker. Acenter-

    tapped transformer is often used in the output stage of an au-

    dio poweramplifierin apush-pull circuit.Modulation trans-

    formers in AM transmitters are very similar.Dry-type transformer winding insulation systems can be ei-

    ther of standard open-wound 'dip-and-bake' construction or of

    higher quality designs that includevacuum pressure impregna-

    tion (VPI),vacuum pressure encapsulation (VPE),

    and encapsulation processes. In the VPI process, a combination

    of heat, vacuum and pressure is used to thoroughly seal, bind,

    and eliminate entrained air voids in the winding polyester res-in insulation coat layer, thus increasing resistance to corona.

    VPE windings are similar to VPI windings but provide more

    protection against environmental effects, such as from water,

    dirt or corrosive ambient, by multiple dips including typically

    in terms of final epoxy coat.

    4.8 Insulation drying

    Construction of oil-filled transformers requires that the insu-

    lation covering the windings be thoroughly dried of residual

    moisture before the oil is introduced. Drying is carried out at

    the factory, and may also be required as a field service. Drying

    may be done by circulating hot air around the core or by va-

    por-phase drying (VPD where an evaporated solvent transfersheat by condensation on the coil and core.

    For small transformers, resistance heating by injection of

    current into the windings is used. The heating can be con-

    trolled very well, and it is energy efficient. The method is

    called low-frequency heating (LFH) since the current used is at

    a much lower frequency than that of the power grid, which is

    normally 50 or 60 Hz. A lower frequency reduces the effect ofinductance, so the voltage required can be reduced. The LFH

    drying method is also used for service of older transformers.

    4.9 Bushings

    http://en.wikipedia.org/wiki/Center_taphttp://en.wikipedia.org/wiki/Center_taphttp://en.wikipedia.org/wiki/Amplifierhttp://en.wikipedia.org/wiki/Push-pull_converterhttp://en.wikipedia.org/wiki/Amplitude_modulationhttp://en.wikipedia.org/wiki/Vacuumhttp://en.wikipedia.org/wiki/Vacuumhttp://en.wikipedia.org/wiki/Vacuumhttp://c/Users/jitendar%20raj/Documents/Bluetooth%20Folder/Transformer.htm%23Insulation_dryinghttp://c/Users/jitendar%20raj/Documents/Bluetooth%20Folder/Transformer.htm%23Bushingshttp://c/Users/jitendar%20raj/Documents/Bluetooth%20Folder/Transformer.htm%23Bushingshttp://c/Users/jitendar%20raj/Documents/Bluetooth%20Folder/Transformer.htm%23Insulation_dryinghttp://en.wikipedia.org/wiki/Vacuumhttp://en.wikipedia.org/wiki/Vacuumhttp://en.wikipedia.org/wiki/Vacuumhttp://en.wikipedia.org/wiki/Amplitude_modulationhttp://en.wikipedia.org/wiki/Push-pull_converterhttp://en.wikipedia.org/wiki/Amplifierhttp://en.wikipedia.org/wiki/Center_taphttp://en.wikipedia.org/wiki/Center_tap
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    Larger transformers are provided with high-voltage insulat-

    ed bushingsmade of polymers or porcelain. A large bushing

    can be a complex structure since it must provide careful con-

    trol of theelectric field gradient without letting the transform-

    er leak oil.

    5 Classification parameters

    Transformers can be classified in many ways, such as the

    following:

    Power capacity: From a fraction of a volt-ampere (VA) to over

    a thousand MVA.

    Duty of a transformer: Continuous, short-time, intermittent,

    periodic, varying.

    Frequency range:Power-frequency,audio-frequency, orradio-

    frequency.

    Voltage class: From a few volts to hundreds of kilovolts.

    Cooling type: Dry and liquid-immersed - self-cooled, forced

    air-cooled; liquid-immersed - forced oil-cooled, water-cooled.

    Circuit application: Such as power supply, impedance match-

    ing, output voltage and current stabilizer or circuit isolation.

    Utilization: Pulse,power, distribution,rectifier,arc furnace,

    amplifier output, etc..

    Basic magnetic form: Core form, shell form.

    Constant-potential transformer descriptor: Step-up, step-

    down,isolation.

    General winding configuration: ByEIC vector group - various

    possible two-winding combinations of the phase designations

    delta, wyes or star, and zigzag or interconnected star; other -

    autotransformer,Scott-T,zigzag grounding transformer wind-

    ing.

    Rectifier phase-shift winding configuration: 2-winding, 6-pulse;

    3-winding, 12-pulse; . . . n-winding, [n-1]*6-pulse; polygon; etc.

    http://en.wikipedia.org/wiki/Bushing_(electrical)http://en.wikipedia.org/wiki/Electric_field_gradienthttp://c/Users/jitendar%20raj/Documents/Bluetooth%20Folder/Transformer.htm%23Classification_parametershttp://en.wikipedia.org/wiki/Power_ratinghttp://en.wikipedia.org/wiki/Utility_frequencyhttp://en.wikipedia.org/wiki/Audio_frequencyhttp://en.wikipedia.org/wiki/Radio_frequencyhttp://en.wikipedia.org/wiki/Radio_frequencyhttp://en.wikipedia.org/wiki/Pulse_transformerhttp://en.wikipedia.org/wiki/Electricity_distributionhttp://en.wikipedia.org/wiki/Rectifierhttp://en.wikipedia.org/wiki/Arc_furnacehttp://en.wikipedia.org/wiki/Isolation_transformerhttp://en.wikipedia.org/wiki/Vector_grouphttp://en.wikipedia.org/wiki/Zigzag_transformerhttp://en.wikipedia.org/wiki/Autotransformerhttp://en.wikipedia.org/wiki/Scott-T_transformerhttp://en.wikipedia.org/wiki/Zigzag_transformerhttp://en.wikipedia.org/wiki/Zigzag_transformerhttp://en.wikipedia.org/wiki/Zigzag_transformerhttp://en.wikipedia.org/wiki/Zigzag_transformerhttp://en.wikipedia.org/wiki/Scott-T_transformerhttp://en.wikipedia.org/wiki/Autotransformerhttp://en.wikipedia.org/wiki/Zigzag_transformerhttp://en.wikipedia.org/wiki/Vector_grouphttp://en.wikipedia.org/wiki/Isolation_transformerhttp://en.wikipedia.org/wiki/Arc_furnacehttp://en.wikipedia.org/wiki/Rectifierhttp://en.wikipedia.org/wiki/Electricity_distributionhttp://en.wikipedia.org/wiki/Pulse_transformerhttp://en.wikipedia.org/wiki/Radio_frequencyhttp://en.wikipedia.org/wiki/Radio_frequencyhttp://en.wikipedia.org/wiki/Audio_frequencyhttp://en.wikipedia.org/wiki/Utility_frequencyhttp://en.wikipedia.org/wiki/Power_ratinghttp://c/Users/jitendar%20raj/Documents/Bluetooth%20Folder/Transformer.htm%23Classification_parametershttp://en.wikipedia.org/wiki/Electric_field_gradienthttp://en.wikipedia.org/wiki/Bushing_(electrical)
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    6 Types

    Various specific electrical application designs require a varietyof transformer types.Although they all share the basic charac-

    teristic transformer principles, they are customizing in con-

    struction or electrical properties for certain installation re-

    quirements or circuit conditions.

    1.Autotransformer: Transformer in which part of the winding

    is common to both primary and secondary circuits.

    2. Capacitor voltage transformer: Transformer in which capaci-

    tor divider is used to reduce high voltage before application to

    the primary winding.

    3. Distribution transformer, power transformer: International

    standards make a distinction in terms of distribution trans-

    formers being used to distribute energy from transmission

    lines and networks for local consumption and power trans-

    formers being used to transfer electric energy between the

    generator and distribution primary circuits.

    4. Phase angle regulating transformer: A specialized transform-

    er used to control the flow of real power on three-phase elec-

    tricity transmission networks.

    5. Scott-T transformer: Transformer used for phase transfor-

    mation from three-phase totwo-phase and vice versa.

    6. Polyphase transformer: Any transformer with more than one

    phase.

    7. Grounding transformer: Transformer used for grounding

    three-phase circuits to create a neutral in a three wire system,

    using a wise-delta transformer, or more commonly, azigzag

    grounding winding.

    8. Leakage transformer: Transformer that has loosely coupled

    windings.

    http://c/Users/jitendar%20raj/Documents/Bluetooth%20Folder/Transformer.htm%23Typeshttp://en.wikipedia.org/wiki/Transformer_typeshttp://en.wikipedia.org/wiki/Autotransformerhttp://en.wikipedia.org/wiki/Capacitor_voltage_transformerhttp://en.wikipedia.org/wiki/Distribution_transformerhttp://en.wikipedia.org/wiki/Quadrature_boosterhttp://en.wikipedia.org/wiki/Scott-T_transformerhttp://en.wikipedia.org/wiki/Two-phase_electric_powerhttp://en.wikipedia.org/wiki/Transformer_types#Polyphase_transformerhttp://en.wikipedia.org/wiki/Zigzag_transformerhttp://en.wikipedia.org/wiki/Zigzag_transformerhttp://en.wikipedia.org/wiki/Transformer_types#Leakage_transformershttp://en.wikipedia.org/wiki/Transformer_types#Leakage_transformershttp://en.wikipedia.org/wiki/Zigzag_transformerhttp://en.wikipedia.org/wiki/Zigzag_transformerhttp://en.wikipedia.org/wiki/Transformer_types#Polyphase_transformerhttp://en.wikipedia.org/wiki/Two-phase_electric_powerhttp://en.wikipedia.org/wiki/Scott-T_transformerhttp://en.wikipedia.org/wiki/Quadrature_boosterhttp://en.wikipedia.org/wiki/Distribution_transformerhttp://en.wikipedia.org/wiki/Capacitor_voltage_transformerhttp://en.wikipedia.org/wiki/Autotransformerhttp://en.wikipedia.org/wiki/Transformer_typeshttp://c/Users/jitendar%20raj/Documents/Bluetooth%20Folder/Transformer.htm%23Types
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    9. Resonant transformer: Transformer that uses resonance to

    generate a high secondary voltage.

    10.Audio transformer:Transformer used in audio equipment.

    11.Output transformer: Transformer used to match the outputof a valve amplifier to its load.

    12.Instrument transformer: Potential orcurrent transform-

    erused to accurately and safely represent voltage, current or

    phase position of high voltage or high power circuits.

    7. Application

    Anelectrical substationin Melbourne, Australia showing three

    of five 220 kV 66 kV transformers, each with a capacity of

    150 MVA[86]

    Transformer at theLimestone Generating Sta-

    tion in Manitoba, Canada

    Transformers are used to increase voltage before transmittingelectrical energy over long distances throughwires.Wires

    haveresistancewhich loses energy through joule heating at a

    rate corresponding to square of the current. By transforming

    power to a higher voltage transformers enable economical

    transmission of power and distribution. Consequently, trans-

    http://en.wikipedia.org/wiki/Transformer_types#Resonant_transformerhttp://en.wikipedia.org/wiki/Transformer_types#Audio_transformerhttp://en.wikipedia.org/wiki/Transformer_types#Audio_transformerhttp://en.wikipedia.org/wiki/Transformer_types#Audio_transformerhttp://en.wikipedia.org/wiki/Transformer_types#Output_transformerhttp://en.wikipedia.org/wiki/Transformer_types#Output_transformerhttp://en.wikipedia.org/wiki/Transformer_types#Instrument_transformerhttp://en.wikipedia.org/wiki/Transformer_types#Instrument_transformerhttp://en.wikipedia.org/wiki/Current_transformerhttp://en.wikipedia.org/wiki/Current_transformerhttp://en.wikipedia.org/wiki/Electrical_substationhttp://en.wikipedia.org/wiki/Melbournehttp://en.wikipedia.org/wiki/Transformer#cite_note-AEMO_.282012-96http://en.wikipedia.org/wiki/Transformer#cite_note-AEMO_.282012-96http://en.wikipedia.org/wiki/Limestone_Generating_Stationhttp://en.wikipedia.org/wiki/Limestone_Generating_Stationhttp://en.wikipedia.org/wiki/Wirehttp://en.wikipedia.org/wiki/Electrical_resistancehttp://en.wikipedia.org/wiki/File:Transformer-Limestone-Generating-Station.JPGhttp://en.wikipedia.org/wiki/File:Transformer-Limestone-Generating-Station.JPGhttp://en.wikipedia.org/wiki/File:Melbourne_Terminal_Station.JPGhttp://en.wikipedia.org/wiki/File:Melbourne_Terminal_Station.JPGhttp://en.wikipedia.org/wiki/File:Transformer-Limestone-Generating-Station.JPGhttp://en.wikipedia.org/wiki/File:Transformer-Limestone-Generating-Station.JPGhttp://en.wikipedia.org/wiki/File:Melbourne_Terminal_Station.JPGhttp://en.wikipedia.org/wiki/File:Melbourne_Terminal_Station.JPGhttp://en.wikipedia.org/wiki/File:Transformer-Limestone-Generating-Station.JPGhttp://en.wikipedia.org/wiki/File:Transformer-Limestone-Generating-Station.JPGhttp://en.wikipedia.org/wiki/File:Melbourne_Terminal_Station.JPGhttp://en.wikipedia.org/wiki/File:Melbourne_Terminal_Station.JPGhttp://en.wikipedia.org/wiki/File:Transformer-Limestone-Generating-Station.JPGhttp://en.wikipedia.org/wiki/File:Transformer-Limestone-Generating-Station.JPGhttp://en.wikipedia.org/wiki/File:Melbourne_Terminal_Station.JPGhttp://en.wikipedia.org/wiki/File:Melbourne_Terminal_Station.JPGhttp://en.wikipedia.org/wiki/Electrical_resistancehttp://en.wikipedia.org/wiki/Wirehttp://en.wikipedia.org/wiki/Limestone_Generating_Stationhttp://en.wikipedia.org/wiki/Limestone_Generating_Stationhttp://en.wikipedia.org/wiki/Transformer#cite_note-AEMO_.282012-96http://en.wikipedia.org/wiki/Melbournehttp://en.wikipedia.org/wiki/Electrical_substationhttp://en.wikipedia.org/wiki/Current_transformerhttp://en.wikipedia.org/wiki/Current_transformerhttp://en.wikipedia.org/wiki/Transformer_types#Instrument_transformerhttp://en.wikipedia.org/wiki/Transformer_types#Output_transformerhttp://en.wikipedia.org/wiki/Transformer_types#Audio_transformerhttp://en.wikipedia.org/wiki/Transformer_types#Resonant_transformer
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    formers have shaped the electricity supply industry, permitting

    generation to be located remotely from points ofdemand. All

    but a tiny fraction of the world's electrical power has passed

    through a series of transformers by the time it reaches the con-

    sumer.Transformers are also used extensively inelectronic prod-

    ucts to step-down the supply voltage to a level suitable for the

    low voltage circuits they contain. The transformer also electri-

    cally isolates the end user from contact with the supply volt-

    age.

    Signal and audio transformers are used to couple stages

    of amplifiersand to match devices such

    as microphones andrecord players to the input of amplifiers.

    Audio transformers allowedtelephonecircuits to carry on

    atwo-way conversationover a single pair of wires.

    Aballoon transformer converts a signal that is referenced to

    ground to a signal that hasbalanced voltages to ground,such

    as between external cables and internal circuits.

    8 HistoriesElectromagnetic induction, the principle of the operation of

    the transformer, was discovered independently and almost

    simultaneously by Joseph Henry andMichael Faradayin 1831.

    Although Henry's work likely has preceded Faraday's work by

    a few months, Faraday was the first to publish the results of his

    experiments and thus receive credit for the discovery. The re-

    lationship between emf and magnetic flux is an equation now

    known as Faraday's law of induction: magnitude of the

    emf in volts and Bis the magnetic flux through the circuit

    in Webbers.

    Faraday performed the first experiments on induction be-

    tween coils of wire, including winding a pair of coils around

    an iron ring, thus creating the firststeroidalclosed-core

    transformer. However he only applied individual pulses of

    http://en.wikipedia.org/wiki/Electrical_power_industryhttp://en.wikipedia.org/wiki/Electrical_loadhttp://en.wikipedia.org/wiki/Consumer_electronicshttp://en.wikipedia.org/wiki/Consumer_electronicshttp://en.wikipedia.org/wiki/Amplifierhttp://en.wikipedia.org/wiki/Microphonehttp://en.wikipedia.org/wiki/Record_playerhttp://en.wikipedia.org/wiki/Telephonehttp://en.wikipedia.org/wiki/Hybrid_coilhttp://en.wikipedia.org/wiki/Balunhttp://en.wikipedia.org/wiki/Balanced_linehttp://c/Users/jitendar%20raj/Documents/Bluetooth%20Folder/Transformer.htm%23Historyhttp://en.wikipedia.org/wiki/Joseph_Henryhttp://en.wikipedia.org/wiki/Michael_Faradayhttp://en.wikipedia.org/wiki/Faraday%27s_law_of_inductionhttp://en.wikipedia.org/wiki/Weber_(unit)http://en.wikipedia.org/wiki/Toroid_(geometry)http://en.wikipedia.org/wiki/Toroid_(geometry)http://en.wikipedia.org/wiki/Weber_(unit)http://en.wikipedia.org/wiki/Faraday%27s_law_of_inductionhttp://en.wikipedia.org/wiki/Michael_Faradayhttp://en.wikipedia.org/wiki/Joseph_Henryhttp://c/Users/jitendar%20raj/Documents/Bluetooth%20Folder/Transformer.htm%23Historyhttp://en.wikipedia.org/wiki/Balanced_linehttp://en.wikipedia.org/wiki/Balunhttp://en.wikipedia.org/wiki/Hybrid_coilhttp://en.wikipedia.org/wiki/Telephonehttp://en.wikipedia.org/wiki/Record_playerhttp://en.wikipedia.org/wiki/Microphonehttp://en.wikipedia.org/wiki/Amplifierhttp://en.wikipedia.org/wiki/Consumer_electronicshttp://en.wikipedia.org/wiki/Consumer_electronicshttp://en.wikipedia.org/wiki/Electrical_loadhttp://en.wikipedia.org/wiki/Electrical_power_industry
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    Faraday's ring transformer

    Induction coil, 1900, Bremerhaven, Germany

    The first type of transformer to see wide use was

    the induction coil,invented by Rev.Nicholas ClanofMaynooth

    College, Ireland in 1836. He was one of the first researchers to

    realize the more turns the secondary winding has in relation to

    the primary winding, the larger the induced secondary emf willbe. Induction coils evolved from scientists' and inventors' ef-

    forts to get higher voltages from batteries. Since batteries pro-

    ducedirect current (DC)rather than AC, induction coils relied

    upon vibratingelectrical con tactsthat regularly interrupted

    the current in the primary to create the flux changes necessary

    for induction. Between the 1830s and the 1870s, efforts to

    build better induction coils, mostly by trial and error, slowlyrevealed the basic principles of transformers.

    8.3 First alternating current transformers

    Efficient generators producing alternating current (AC) were

    available, and it was found AC could power an induction coil

    directly, without an interrupter.

    In 1876, Russian engineer Pave invented a lighting systembased on a set of induction coils where the primary windings

    were connected to a source of AC. The secondary windings

    could be connected to several'electric candles' (arc lamps) of

    his own design. The coils Yablochkov employed functioned es-

    sentially as transformers.

    http://en.wikipedia.org/wiki/Induction_coilhttp://en.wikipedia.org/wiki/Nicholas_Callanhttp://en.wikipedia.org/wiki/Maynooth_Collegehttp://en.wikipedia.org/wiki/Maynooth_Collegehttp://en.wikipedia.org/wiki/Direct_currenthttp://en.wikipedia.org/wiki/Electrical_contacthttp://en.wikipedia.org/wiki/Electrical_contacthttp://en.wikipedia.org/wiki/Electrical_contacthttp://c/Users/jitendar%20raj/Documents/Bluetooth%20Folder/Transformer.htm%23First_alternating_current_transformershttp://en.wikipedia.org/wiki/Electric_generatorhttp://en.wikipedia.org/wiki/Alternating_currenthttp://en.wikipedia.org/wiki/Interrupterhttp://en.wikipedia.org/wiki/Yablochkov_candlehttp://en.wikipedia.org/wiki/File:Induktionsapparat_hg.jpghttp://en.wikipedia.org/wiki/File:Faradays_transformer.pnghttp://en.wikipedia.org/wiki/File:Induktionsapparat_hg.jpghttp://en.wikipedia.org/wiki/File:Faradays_transformer.pnghttp://en.wikipedia.org/wiki/Yablochkov_candlehttp://en.wikipedia.org/wiki/Interrupterhttp://en.wikipedia.org/wiki/Alternating_currenthttp://en.wikipedia.org/wiki/Electric_generatorhttp://c/Users/jitendar%20raj/Documents/Bluetooth%20Folder/Transformer.htm%23First_alternating_current_transformershttp://en.wikipedia.org/wiki/Electrical_contacthttp://en.wikipedia.org/wiki/Direct_currenthttp://en.wikipedia.org/wiki/Maynooth_Collegehttp://en.wikipedia.org/wiki/Maynooth_Collegehttp://en.wikipedia.org/wiki/Nicholas_Callanhttp://en.wikipedia.org/wiki/Induction_coil
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    In 1878, theGang factory,Budapest, Hungary, began manu-

    facturing equipment for electric lighting and, by 1883, had in-

    stalled over fifty systems in Austria-Hungary. Their AC systems

    used arc and incandescent lamps, generators, and other

    equipment.Lucien Gaillardand John Dixon Gibbs first exhibited a device

    with an open iron core called a 'secondary generator' in Lon-

    don in 1882, then sold the idea to theWestinghouse company

    in the United States. They also exhibited the invention in Turin,

    Italy in 1884, where it was adopted for an electric lighting sys-

    tem. However, the efficiency of their open-core bipolar appa-

    ratus remained very low.

    8.4Early series circuit transformer distribution

    Induction coils with open magnetic circuits are inefficient at

    transferring power toloads.Until about 1880, the paradigm for

    AC power transmission from a high voltage supply to a low

    voltage load was a series circuit. Open-core 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 (or other electric device) af-

    fected the voltage supplied to all others on the same circuit.

    Many adjustable transformer designs were introduced to com-

    pensate for this problematic characteristic of the series circuit,

    including those employing methods of adjusting the core or

    bypassing the magnetic flux around part of a coil. Efficient,

    practical transformer designs did not appear until the 1880s,

    but within a decade, the transformer would be instrumental in

    the War of Currents,and in seeing AC distribution systems tri-

    umph over their DC counterparts, a position in which they

    have remained dominant ever since.

    http://en.wikipedia.org/wiki/Ganz_Workshttp://en.wikipedia.org/wiki/Lucien_Gaulardhttp://en.wikipedia.org/wiki/Westinghouse_Electric_Corporationhttp://en.wikipedia.org/wiki/Electrical_loadhttp://en.wikipedia.org/wiki/War_of_Currentshttp://en.wikipedia.org/wiki/File:Trafo1885.jpghttp://en.wikipedia.org/wiki/War_of_Currentshttp://en.wikipedia.org/wiki/Electrical_loadhttp://en.wikipedia.org/wiki/Westinghouse_Electric_Corporationhttp://en.wikipedia.org/wiki/Lucien_Gaulardhttp://en.wikipedia.org/wiki/Ganz_Works
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    Shell form transformer. Sketch used by Uppenborn to describe ZBD engineers' 1885 patents and earliest articles.

    Core form, front; shell form, back. Earliest specimens of ZBD-designed high-efficiency constant-potential transformers

    manufactured at the Gang factory in 1885.

    Stanley's 1886 design for adjustable gap open-core induction coil

    8.5Closed-core transformers andparallel power distribution

    In the autumn of 1884, Karolyn, Otto andMicas Derik(ZBD),three engineers associated with the Ganz factory, had deter-

    mined that open-core devices were impracticable, as they were

    incapable of reliably regulating voltage. In their joint 1885 pa-

    tent applications for novel transformers (later called ZBD

    transformers), they described two designs with closed magnet-

    ic circuits where copper windings were either a) wound

    around iron wire ring core or b) surrounded by iron wirecore.[95]The two designs were the first application of the two

    basic transformer constructions in common use to this day,

    which can as a class all be termed as either core form or shell

    form (or alternatively, core type or shell type), as in a) or b),

    respectively (see images). The Gang factory had also in the au-

    http://en.wikipedia.org/wiki/Miksa_D%C3%A9rihttp://en.wikipedia.org/wiki/Transformer#cite_note-FJU1889-105http://en.wikipedia.org/wiki/Transformer#cite_note-FJU1889-105http://en.wikipedia.org/wiki/Transformer#cite_note-FJU1889-105http://en.wikipedia.org/wiki/File:StanleyTransformer.pnghttp://en.wikipedia.org/wiki/File:DBZ_trafo.jpghttp://en.wikipedia.org/wiki/File:StanleyTransformer.pnghttp://en.wikipedia.org/wiki/File:DBZ_trafo.jpghttp://en.wikipedia.org/wiki/Transformer#cite_note-FJU1889-105http://en.wikipedia.org/wiki/Miksa_D%C3%A9ri
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    tumn of 1884 made delivery of the world's first five high-

    efficiency AC transformers, the first of these units having been

    shipped on September 16, 1884.[101]This first unit had been

    manufactured to the following specifications: 1,400 W, 40 Hz,

    120:72 V, 11.6:19.4 A, ratio 1.67:1, one-phase, shell form.In both designs, the magnetic flux linking the primary and

    secondary windings traveled almost entirely within the con-

    fines of the iron core, with no intentional path through air

    (seeSteroidal coresbelow). The new transformers were 3.4

    times more efficient than the open-core bipolar devices of Gail-

    lard and Gibbs.[102]The ZBD patents included two other major

    interrelated innovations: one concerning the use of parallelconnected, instead of series connected, utilization loads, the

    other concerning the ability to have high turns ratio trans-

    formers such that the supply network voltage could be much

    higher (initially 1,400 to 2,000 V) than the voltage of utilization

    loads (100 V initially preferred).[103][104]When employed in

    parallel connected electric distribution systems, closed-core

    transformers finally made it technically and economically fea-sible to provide electric power for lighting in homes, business-

    es and public spaces. Lathy had suggested the use of closed

    cores, Zipernowsky had suggested the use of parallel shunt

    connections, and Derik had performed the experiments;

    Transformers today are designed on the principles discovered

    by the three engineers. They also popularized the word 'trans-

    former' to describe a device for altering the emf of an electric

    current, although the term had already been in use by 1882. In

    1886, the ZBD engineers designed, and the Gang factory sup-

    plied electrical equipment for, the world's firstpower sta-

    tion that used AC generators to power a parallel connected

    common electrical network, the steam-powered Rome-

    Carchi power plant.

    Although George Westinghousehad bought Gaillard and

    Gibbs' patents in 1885, theEdison Electric Light Companyheld

    an option on the US rights for the ZBD transformers, requiring

    Westinghouse to pursue alternative designs on the same prin-

    ciples. He assigned to William Stanleythe task of developing a

    http://en.wikipedia.org/wiki/Transformer#cite_note-Halacsy_.281961.29-111http://en.wikipedia.org/wiki/Transformer#cite_note-Halacsy_.281961.29-111http://en.wikipedia.org/wiki/Transformer#cite_note-Halacsy_.281961.29-111http://en.wikipedia.org/wiki/Transformer#Toroidal_coreshttp://en.wikipedia.org/wiki/Transformer#cite_note-Jeszenszky-112http://en.wikipedia.org/wiki/Transformer#cite_note-Jeszenszky-112http://en.wikipedia.org/wiki/Transformer#cite_note-Ideal_.282008.29-113http://en.wikipedia.org/wiki/Transformer#cite_note-Ideal_.282008.29-113http://en.wikipedia.org/wiki/Shunt_(electrical)http://en.wikipedia.org/wiki/Shunt_(electrical)http://en.wikipedia.org/wiki/Power_stationhttp://en.wikipedia.org/wiki/Power_stationhttp://en.wikipedia.org/wiki/George_Westinghousehttp://en.wikipedia.org/wiki/Edison_Electric_Light_Companyhttp://en.wikipedia.org/wiki/William_Stanley,_Jr.http://en.wikipedia.org/wiki/William_Stanley,_Jr.http://en.wikipedia.org/wiki/Edison_Electric_Light_Companyhttp://en.wikipedia.org/wiki/George_Westinghousehttp://en.wikipedia.org/wiki/Power_stationhttp://en.wikipedia.org/wiki/Power_stationhttp://en.wikipedia.org/wiki/Shunt_(electrical)http://en.wikipedia.org/wiki/Shunt_(electrical)http://en.wikipedia.org/wiki/Transformer#cite_note-Ideal_.282008.29-113http://en.wikipedia.org/wiki/Transformer#cite_note-Ideal_.282008.29-113http://en.wikipedia.org/wiki/Transformer#cite_note-Jeszenszky-112http://en.wikipedia.org/wiki/Transformer#Toroidal_coreshttp://en.wikipedia.org/wiki/Transformer#cite_note-Halacsy_.281961.29-111
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    device for commercial use in United States. Stanley's first pa-

    tented design was for induction coils with single cores of soft

    iron and adjustable gaps to regulate the emf present in the sec-

    ondary winding (see image). This design was first used com-

    mercially in the US in 1886 but Westinghouse was intent onimproving the Stanley design to make it (unlike the ZBD type)

    easy and cheap to produce.

    Westinghouse, Stanley and associates soon developed an easi-

    er to manufacture core, consisting of a stack of thin 'Shaped'

    iron plates, insulated by thin sheets of paper or other insulat-

    ing material. Rewound copper coils could then be slid into

    place, and straight iron plates lay in to create a closed magneticcircuit. Westinghouse applied for a patent for the new low-cost

    design in December 1886; it was granted in July 1887.

    8.6Other early transformers

    In 1889, Russian-born engineer Mikhail Dolivo-

    Dobrovolsky developed the firstthree-phasetransformer at

    the Allgemeine Elektricitts-Gesellschaft ('General Electricity

    Company') in Germany.

    In 1891,Nikola Teslainvented theTesla coil,an air-cored,

    dual-tuned resonant transformer for generating veryhigh

    voltages at high frequency.

    http://en.wikipedia.org/wiki/Mikhail_Dolivo-Dobrovolskyhttp://en.wikipedia.org/wiki/Mikhail_Dolivo-Dobrovolskyhttp://en.wikipedia.org/wiki/Three-phasehttp://en.wikipedia.org/wiki/Allgemeine_Elektricit%C3%A4ts-Gesellschafthttp://en.wikipedia.org/wiki/Nikola_Teslahttp://en.wikipedia.org/wiki/Tesla_coilhttp://en.wikipedia.org/wiki/High_voltagehttp://en.wikipedia.org/wiki/High_voltagehttp://en.wikipedia.org/wiki/High_voltagehttp://en.wikipedia.org/wiki/High_voltagehttp://en.wikipedia.org/wiki/Tesla_coilhttp://en.wikipedia.org/wiki/Nikola_Teslahttp://en.wikipedia.org/wiki/Allgemeine_Elektricit%C3%A4ts-Gesellschafthttp://en.wikipedia.org/wiki/Three-phasehttp://en.wikipedia.org/wiki/Mikhail_Dolivo-Dobrovolskyhttp://en.wikipedia.org/wiki/Mikhail_Dolivo-Dobrovolsky
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    1. Transformer Booksby P.M. Balm, from

    IEEE Transformer Committee

    2. Einschalten des Transformations. Ger-

    man Wikipedia article about transformer

    inrush current at switch on (in German).

    3. FROM BASIC ELECTRICAL

    http://www.transformerscommittee.org/info/Bibliographybooks.pdfhttp://de.wikipedia.org/wiki/Einschalten_des_Transformatorshttp://de.wikipedia.org/wiki/Einschalten_des_Transformatorshttp://www.transformerscommittee.org/info/Bibliographybooks.pdf