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    In our generation, power supply is very important in our everyday living in the way like our

    life will not be complete without it. Thats why they invented the transformer for power

    transmission.

    Being an electrical engineering student, we have known everything about power transmissionthrough the use of transformer. But will it be proper to know everything about transformer. Not

    just the theoretical knowledge about transformer but how to construct a generating transformer.

    But first we must know what a transformer is.

    A transformer is a device which uses the phenomenon of mutual induction to change thevalues of alternating voltages and currents. In fact, one of the main advantages of a.c.

    transmission and distribution is the ease with which an alternating voltage can be increased or

    decreased by transformers.

    Transformers range in size from the miniature units used in electronic applications to the

    large power transformers used in power stations. The principle of operation is the same for each.

    Now that we discuss what a transformer is, we will now tackle what will be the paper all

    about.

    In this paper we will be using laminated core or EI core power transformer. This is the mostcommon type of transformer, widely used in appliances to convert mains voltage to low voltage

    to power electronics.

    This paper will discuss about power transformers which converts AC to DC supply, and step

    down the supply to 19-volts 5-amperes output. It will tackle how the transformers function and

    its application, and how to compute the specification to construct such transformer. And tells

    what are the needed apparatus and materials for the construction and what will be the step-by-step procedure on constructing this kind of transformer.

    Although the transformer is not an energy conversion device, it is an indispensable

    component in many energy conversion systems. As one of the principal reasons for the

    widespread use of ac power systems, it makes possible electric generation at the most

    economical generator voltage, power transfer at the most economical transmission voltage,

    and power utilization at the most suitable voltage for the particular utilization device. Thetransformer is also widely used in low-power low-current electronic and control circuits for

    performing such functions as matching the impedances of a source and its load for maximum

    power transfer, insulating one circuit from another, or isolating direct current while

    maintaining ac continuity between two circuits.

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    Transformers are needed in electronic apparatus to provide the different values of plate,

    filament, and bias voltage required for proper tube operation, and to maintain or modify wave

    shape and frequency response at different potentials.

    A transformer can convert AC (Alternating Current) to DC (Direct Current) supply

    through the use of a rectifier.

    Another function of the transformer is to allow AC voltage to be readily converted from

    one voltage level to another. This way, the power can be generated at a relatively low

    voltage. A transformer is used to step the voltage up to a transmission level close to the usepoint of the power, the voltage is stepped back down, and then routed to the transformer on

    the utility pole behind the house or close to the industrial plant. The final step down

    transformer changes the voltage to a utilization level. This kind of transformer is called the

    power transformer.

    Though, this paper will focus on the power transformer which converts AC to DC supply,and for electronic devices which uses low-power low-current supply, this function of

    transformer for a high-power distribution is just included for better understanding of thefunction of a transformer.

    Transformers are needed in electronic apparatus to provide the different values of plate,

    filament, and bias voltage required for proper tube operation, and to maintain or modify wave

    shape and frequency response at different potentials.

    A power transformer with 19-volts and 2.1-amperes output with 60 hertz operating

    frequency are usually applied in the charger of some electronic devices or apparatus.

    One of its applications is on laptop or portable computer. Most of the laptop with this

    output specification is Netbook, usually small in size and only use for searching and typing..

    Another application is on television. Usually apply in wide screen flat televisions which

    most of them are using an adaptor to connect to a source.

    Any electronic devices or gadgets and appliances with this output specification will be

    suitable to use for supplying power to operate.

    Occasionally someone asks why electronic transformers cannot be designed according to

    curves or charts showing the relation between volts, turns, wire size, and power rating. Suchcurves have appeared in magazines and have been used for small control transformers. The

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    idea is that by means of such charts any engineer can design his own transformer. However,

    this idea has not been found practicable for the following reason.

    (a)Regulation. It regulates 220 Volts to 19 Volts, 2.1 Amperes and 60 Hertz output.This property is rarely negligible in electronic circuits. It often requires care and

    thought to use the most advantageous winding arrangement in order to obtain the

    proper IX and IR voltage drops. Sometimes the size is dictated by such

    considerations.

    (b)Frequency Range. It frequency is 60 Hertz fixed. The low frequency end of atransformer operating range in a given circuit is determined by the transformer open-circuit inductance. The high frequency end is governed by the leakage inductance and

    distributed capacitance. Juggling the various factors, such as core size, number of

    turns, interleaving, and insulation, in order to obtain the optimum design constitutes a

    technical problem of the first magnitude.

    (c)Voltage. It voltage is 19 Volts. It would be exceedingly difficult, if not impossible, toreduce to chart form the use of high voltages in the restricted space of a transformer.Circuit considerations are very important here, and the transformer designer must be

    thoroughly familiar with the functioning of the transformer to insure reliable

    operation, low cost, and small dimensions.

    (d)Size. Its size is small, the same size with the adaptor of a netbook and notebooklaptop. Much electronic equipment is cramped for space and, since transformers often

    constitute the largest items in the equipment, it is imperative that they, too, be smallsize. An open-minded attitude toward this condition and the use of good judgement

    may make it possible to meet the requirements which otherwise might not be fulfilled.

    The use of new materials, too, can be instrumental in reducing size in some

    instances down to a small fraction of former size.

    (e)Rectification. A rectifier is an electrical device use to converts alternating current(AC), which periodically reverses direction, to direct current (DC), which flows inonly one direction.

    (f) Filter. A device that is designed to physically block certain objects or substanceswhile letting others through. This circuit reduces ripple voltage to become smooth DC

    voltage.

    Some advantages properties of a power transformer using EI core will be enumerated

    below.

    Widely available in power ratings ranging from mW to MW Insulated lamination minimizes eddy current losses Small appliance and electronic transformers may use a split bobbin , giving a high

    level of insulation between the windings

    Rectangular core

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    Core laminate stampings are usually in EI shape pairs. Other shape pairs aresometimes used

    Mu-metal shields can be fitted to reduce EMI (electromagnetic interference) A screen winding is occasionally used between the 2 power windings Small appliance and electronics transformers may have a thermal cut out built in

    Occasionally seen in low profile format for use in restricted spaces Laminated core made with silicon steel with high permeability

    Magnetic Circuit is made up of one or more closed loop paths containing a magneticflux.

    Power factor is defined as the ratio of the real power flowing to the load to theapparent power in the circuit.

    Split bobbin is the method of winding a transformer whereby the primary andsecondary are wound side by- side on a bobbin with an insulation barrier between the

    two wingdings.

    Mu-metal is a nickel-iron alloy that is notable for its high magnetic permeability. Eddy current loss is the induction of eddy currents within the core causes a resistive

    loss.

    Electromagnetic interference (EMI) is disturbance that affects an electrical circuitdue to either electromagnetic induction or electromagnetic radiation emitted from an

    external source.

    Permeability is the degree of magnetization of a material in response to a magneticfield.EI core is a sheets of suitable iron stamped out in shapes like the letters "E" and "I",

    are stacked with the "I" against the open end of the "E" to form a 3-legged structure.

    Biasing is the method of establishing predetermined voltages or currents at variouspoints of an electronic circuit to set an appropriate operating point.

    Filament is a thin heating element. Alternating Current (AC) the movement of electric charge periodically reverses

    direction.

    Direct Current (DC) is the unidirectional flow of electric charge. Impedance is the complex ratio of the voltage to the current in an alternating current

    (AC) caircuit.

    RMS Value, In mathematics, the root mean square (abbreviated RMS or rms), alsoknown as the quadratic mean, is a statistical measure of the magnitude of a varying

    quantity. It is especially useful when variates are positive and negative, e.g.,

    sinusoids.

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    AWG (American Wire Gauge) also known as the Brown & Sharpe wire gauge is astandardized wire gauge system used since 1857.

    Interpolation means to estimate a value of (a function or series) between two knownvalues; to make insertions or additions.

    Transformer is a device used to transfer electric energy from one circuit to another,especially a pair of multiply wound, inductively coupled wire coils that affect such a

    transfer with a change in voltage, current, phase, or other electric characteristic.

    Voltage Regulation is the change in voltage magnitude that occurs when the load (ata specified power factor) is reduced from the rated or nominal value to zero, with no

    intentional manual readjustment of any voltage control, expressed in percent of

    nominal full-load voltage.

    Wiring is the material, as wire or rope, wound or coiled about anything, or a singleround or turn of the material; as (Elec.), a series winding, or one in which the

    armature coil, the field-magnet coil, and the external circuit form a continuous

    conductor; a shunt winding, or one of such a character that the armature current isdivided, a portion of the current being led around the field-magnet coils.

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    Specification Needed:

    Primary Voltage: 220 Vrms

    Secondary Voltage, Current: 19 Volts dc, 2.1 Amperes

    Operating Frequency = 60 Hz

    Step 1:

    Compute the total voltage across the secondary:

    Esn = 2.35 Edc

    Esn = 44.65 Volts

    Where:Edc => Secondary Voltage in Volts

    2.35 => twice the ratio of the RMS to average value plus

    5% regulation

    Step 2:

    Compute the secondary currents from:

    Is = k Idc

    Is = 2.226 Amperes

    Where:

    Is => secondary current in Amperes

    k => k factor (see Table 1)

    Step 3:

    Compute the output power in Watts.

    Pout = Es Is

    Pout = 99.3909 Watts

    Where:

    Es => Secondary Voltage in Volts

    Is => Secondary current in Amperes

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    Step 4:

    Compute the required input power in Volt-Amperes.

    VA =

    out

    (n)VA = 128.4568 Volt-Amperes

    Where:

    Pout => Required Output Power computed previously

    n => efficiency of the transformer

    0.9 => power factor

    VA => Power input in Volt-Amperes

    Step 5:

    Assume a square core area for convenience and compute for the

    required area and the size of the EI lamination.

    A =

    A = 2.0312 in2

    Where:

    A => cross section area of the core in square inches (n2).

    Compute for the tongue width ( tw ) and the stacking height ( g ).

    g = tw = g = tw = 1.4252 in

    Then use Table 3 to choose the size of the EI lamination required.

    g = tw = 1.5 in

    The size of the EI lamination also gives the winding length ( wl ), which should

    not exceed the tongue width ( tw ) and the allowable winding build-up which

    should not be greater than the EI laminations window The details are shown in

    Figure 6.

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    Step 6:

    Compute for the number of the primary and secondary turns Np

    and Ns.

    Np = Ep 1

    f

    Np = 473.9506 turns 474 turns

    Ns = 1.05 Np ()Ns = 101.0105 turns 102 turns

    Where:

    Np => number of turns in the primaryNs => number of turns in the secondary

    Ep => primary voltage in RMS (22CV)

    Es => secondary voltage in RMS

    f => frequency of operation in Hz (60Hz)

    A => tongue area in square inches

    B => flux density in Gauss (Table 3)

    Step 7:

    Compute for the size of the magnetic wires to be used for the coils.

    Ip =

    Ip = 0.5839 Ampere

    Where:

    Ip => current in the primary

    Compute for the diameter of the wires for the primary and the

    secondary coils.

    d = 1.13 * I- login+

    1

    dp = 0.0246 inch diameter

    ds = 0.0479 inch diameter

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    Where:

    d => diameter of the wire in inches

    I => current in the wire in Amperes

    Pin => required power in Volt-Amperes

    The commercially available wire gauges based on the diameter of

    the wire are shown in Table 4.

    Primary wire size:

    # 22 AWG, dp = 0.0253 inches

    Secondary wire size:

    # 16 AWG, ds = 0.0508 inches

    Step 8:

    Compute for the number of turns per layer. Initially compute for

    the allowable winding length.

    wl = tl2(margin)2(bobbin allowance)

    wl = 1.936 inches

    Where:

    wl => winding length

    tl => tongue length

    margin => 0.125 inchesbobbin allowance => 0.032 inches

    The number of turns per layer:

    turns

    layer=

    wl

    diameter of wire with insulation

    Primary:

    turns

    r= 72.7820 turns/layer 73 turns/r

    Secondary:

    turns

    r= 36.9466 turns/r 37 turns/r

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    Step 9:

    Compute the winding build up of the primary and secondary

    winding.

    WBtot = 1.1 (WBp + WBs + bobbin thickness + inter

    winding insulation)

    WBtot = 0.5086 inch

    Where:

    WBtot => total winding build up

    WBp => winding build up in the primary

    WBs => winding build-up in the secondary

    Bobbin thickness => 0.095

    Inter winding insulation => 0.002 number of winding

    The total winding build up should not exceed 90% of the EI

    laminations window If the computed value does exceed that

    amount, choose a larger EI lamination and repeat steps 6, 8 and 9.

    Step 10:

    Compute for the total length of wires needed for the transformer.

    Initially compute for the mean length of turns ( MLT ) of each

    winding.

    MLTp = 2 (tw + g + 4b) + WBp

    MLTp = 7.3889 inches

    MLTs = 2 (tw + g + 4b) + (2WBp + WBs)MLTs = 8.5306 inches

    Where:

    MLTp => mean length of turns in the primary

    MLTs => mean length of turns in the secondary

    g => stack height

    b => bobbin thickness => 0.095

    WB => winding build up

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    The actual length of wires is computed from:

    L = MLT N

    Primary:

    Lp = 3,502.3386 inches

    Secondary:

    Ls = 870.1212 inches

    Where:

    L => length of the wire

    Step 11:

    Since magnet wires are sold by the weight rather by length, thetotal weight of the wires are computed using

    W(lbs) =

    1

    f

    1

    Primary:

    Wp = 0.5677 lbs

    Secondary:

    Ws = 0.5669 lbs

    Where:

    W => weight of the wire in lbs

    L => length of the wire

    f => conversion factor (see Table 4)

    Step 12:

    Determine the percent efficiency ( ) and voltage regulation ( r )

    from:

    =out 1

    outcore loss(copper loss) = 92.71%

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    Vr = Is[ *+

    ]Vr = 0.024 or 2.4%

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    Specification Needed:

    Primary Voltage: 220 Vrms

    Secondary Voltage, Current: 19 Volts dc, 2.1 Amperes

    Operating Frequency = 60 Hz

    Step 1:

    Compute the total voltage across the secondary:

    Esn = 2.35 Edc

    Esn = 2.35 19V

    Esn = 44.65 Volts

    Where:

    Edc => Secondary Voltage in Volts

    2.35 => twice the ratio of the RMS to average value plus

    5% regulation

    Step 2:

    Compute the secondary currents from:

    Is = k Idc

    Table 1: Factors K and K for Single- Phase Rectifier Supplies

    Capacitor input K K

    Full-wave

    Half-wave

    0.707

    1.4

    1.06

    2.2

    Is = 1.06 2.1A

    Is = 2.226 Amperes

    Where:

    Is => secondary current in Amperes

    k => k factor (see Table 1)

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    Step 3:

    Compute the output power in Watts.

    Pout = Es Is

    Pout = 44.65V 2.226A

    Pout = 99.3909 Watts

    Where:

    Es => Secondary Voltage in Volts

    Is => Secondary current in Amperes

    Step 4:

    Compute the required input power in Volt-Amperes.

    VA =out

    (n)

    Table 2: Efficiencies for Various Sizes Power Supplies

    Output in Watts Approximate Efficiency in Percent

    20

    30

    4080100

    200

    70

    75

    808586

    90

    Note 1: The Interpolation

    Step 1:

    Find the range where the given value falls from the table.

    Pout = 44.838 WattsRange available: 4080

    Step 2:

    Use the formula:

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    x1- d1

    x1- x=

    y1- d

    y1- y

    Where:

    x1is the smallest from the range of independent valuesd1is the given value

    x is the highest in the range of independent values

    y1is the dependent value ofx1

    d is the dependent value of the given value

    y

    is the dependent value ofx

    Computation:

    -

    -1 = - d

    -

    (0.969545)(-1) = (85d)

    -0.6047585 = -d

    2 = 85.969545

    VA =

    VA =

    VA = 128.4568 Volt-Amperes

    Where:

    Pout => Required Output Power computed previously

    n => efficiency of the transformer

    0.9 => power factor

    VA => Power input in Volt-Amperes

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    Step 5:

    Assume a square core area for convenience and compute

    for the required area and the size of the EI lamination.

    A =

    A =1

    A = 2.0312 in2

    Where:

    A => cross section area of the core in square

    inches (n2).

    Compute for the tongue width ( tw ) and the stacking height ( g ).

    g = tw = g = tw = g = tw = 1.4252 in

    Then use Table 3 to choose the size

    of the EI lamination required.

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    Table 3. EI Core Data on , Tongue Lamination, and D Core Weight

    At 60 Hertz EI Type

    Lamination

    Tongue Width of

    Lamination (inches)

    Core

    Weight(lb)EI B (gauss)

    3.9

    5.813.0

    17.024.0

    37.0

    54.082.0

    110

    145

    195525

    14,000

    14,00014,000

    14,00013,500

    13,000

    13,00012,500

    12,000

    12,000

    11,00010,500

    EI 21

    EI 625EI 75

    EI 75EI 11

    EI 12

    EI 12EI 125

    EI 125

    EI 13

    EI 13EI 19

    0.5

    0.6250.75

    0.750.875

    1.00

    1.001.25

    1.25

    1.5

    1.51.75

    0.199

    0.3610.609

    0.8120.966

    1.43

    2.142.83

    3.97

    4.92

    6.569.75

    Since 1.5 is the closest value to 1.4252, choose EI-13.

    g = tw = 1.5 inches

    The size of the EI lamination also gives the winding length ( wl ), which should

    not exceed the tongue width ( tw ) and the allowable winding build-up which

    should not be greater than the EI laminations window

    W =1

    tw

    W =1

    (1.5)

    W = 0.75 inch

    tl =

    tw

    tl =

    (1.5)

    tl = 2.25 inches

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    Step 6:

    Compute for the number of the primary and secondary turns Np

    and Ns.

    Np = Ep 1

    f

    Np =1

    1(1)Np = 473.9506 turns 474 turns

    Ns = 1.05 Np

    ()

    Ns = 1.05 (474)

    Ns = 101.0105 turns 102 turns

    Where:

    Np => number of turns in the primary

    Ns => number of turns in the secondary

    Ep => primary voltage in RMS (22CV)

    Es => secondary voltage in RMSf => frequency of operation in Hz (60Hz)

    A => tongue area in square inches

    B => flux density in Gauss (Table 3)

    Step 7:

    Compute for the size of the magnetic wires to be used for the coils.

    Ip =

    Ip =1

    Ip = 0.5839 Ampere

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    Where:

    Ip => current in the primary

    Compute for the diameter of the wires for the primary and the

    secondary coils.

    d = 1.13 * I- login+

    1

    dp = 1.13 * -log1+

    1

    dp = 0.0246 inch diameter

    ds = 1.13 * -log1+1

    ds = 0.0479 inch diameter

    Where:

    d => diameter of the wire in inches

    I => current in the wire in Amperes

    Pin => required power in Volt-Amperes

    The commercially available wire gauges based on the diameter of

    the wire are shown in Table 4.

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    Table 4: Magnet wire data on diameter, resistance, and Core Weight.

    AWG

    B & S

    Gauge

    Diameter in inchesOhms per1000 Ft.

    Pounds per1000 Ft.

    Margin min inchesBare Enamelled

    101112

    13

    14

    15

    16

    17

    1819

    2021

    22

    2324

    25

    2627

    28

    29

    30

    31

    3233

    34

    35

    36

    37

    3839

    40

    0.10190.09270.808

    0.0719

    0.0641

    0.0571

    0.0508

    0.0453

    0.04030.0359

    0.03200.0285

    0.0253

    0.04030.0359

    0.0179

    0.01590.0142

    0.0126

    0.0113

    0.0100

    0.0089

    0.00800.0071

    0.0063

    0.0056

    0.0050

    0.0045

    0.00400.0035

    0.0031

    0.10390.09270.0827

    0.0738

    0.0659

    0.0588

    0.0524

    0.0469

    0.04180.0374

    0.03340.0299

    0.0266

    0.02390.213

    0.0190

    0.01690.0152

    0.0135

    0.0122

    0.0109

    0.0097

    0.00880.0079

    0.0070

    0.0062

    0.0056

    0.0050

    0.00450.0040

    0.0036

    0.99891.2601.588

    2.003

    2.525

    3.184

    4.016

    5.064

    6.3858.051

    10.1512.80

    16.14

    20.3625.67

    32.37

    40.8151.47

    64.90

    81.83

    103.2

    130.1

    164.1206.9

    260.9

    329.0

    414.8

    523.1

    659.6831.8

    1049

    31.4324.9219.77

    15.68

    12.43

    9.858

    7.818

    6.200

    4.9173.899

    3.0922.452

    1.945

    1.5421.223

    0.9699

    0.76920.6100

    0.4837

    0.3836

    0.3042

    0.2413

    0.19130.1517

    0.1203

    0.0954

    0.0757

    0.0600

    0.04760.0377

    0.0299

    0.250.250.25

    0.25

    0.25

    0.25

    0.1875

    0.1875

    0.18750.1562

    0.15620.1562

    0.125

    0.1250.125

    0.125

    0.1250.125

    0.125

    0.125

    0.125

    0.125

    0.09370.0937

    0.0937

    0.0937

    0.0937

    0.0937

    0.06250.0625

    0.0625

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    Primary wire size:

    # 22 AWG, dp = 0.0253 inches

    Secondary wire size:

    # 16 AWG, ds = 0.0508 inches

    Step 8:

    Compute for the number of turns per layer. Initially compute for

    the allowable winding length.

    wl = tl2(margin)2(bobbin allowance)

    wl = 2.252 (0.125)2 (0.032)

    wl = 1.936 inches

    Where:

    wl => winding length

    tl => tongue length

    margin => 0.125 inches

    bobbin allowance => 0.032 inches

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    The number of turns per layer:

    turns

    layer=

    wl

    diameter of wire with insulation

    No. of Layers =turns

    layer

    Primary:

    turns

    layer=

    turns

    r

    = 72.7820 turns/r 73 turns/r

    No. of Layers =

    No. of Lrs = 6.4932 7 rs

    Secondary:

    turns

    layer=

    turnsr

    = 36.9466 turns/r 37 turns/r

    No. of Layers =1

    No. of Lrs = 2.7568 3 rs

    Because some figures were rounded off, check if the values still

    satisfy the number of turns in the primary winding.

    Checking:

    turns

    layer=

    p

    o of ayers\

    No. of Turns = turnslayer

    (No. of Layers)

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    For Primary:

    turns

    layer=

    turns

    r= 67.714 turns/r 68 turns/r

    No. of Turns = (68)(7)

    No. of Turns = 476 turns

    For Secondary:

    turns

    layer=

    1

    turnsr

    = 34 turns/layer

    No. of turns = (34)(3)

    No. of turns = 102 turns

    Step 9:

    Compute the winding build up of the primary and secondary

    winding.

    p = o of layers in primary (dp inter layer

    insulation)

    WBp = 7 (0.0266 + 0.002)

    WBp = o.2002 inch

    s = o of layers in secondary (dsn inter layer

    insulation)

    WBs = 3 (0.0524 + 0.002)WBs = 0.1632 inch

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    WBtot = 1.1 (WBp + WBs + bobbin thickness + inter

    winding insulation)

    WBtot = 1.1 (0.095 + 0.2002 + 0.1632 + 2 (0.002))

    WBtot = 0.5086 inch

    Where:

    WBtot => total winding build up

    WBp => winding build up in the primary

    WBs => winding build-up in the secondary

    Bobbin thickness => 0.095

    Inter winding insulation => 0.002 number of winding

    The total winding build up should not exceed 90% of the EI

    laminations window If the computed value does exceed that

    amount, choose a larger EI lamination and repeat steps 6, 8 and 9.

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    Step 10:

    Compute for the total length of wires needed for the transformer.

    Initially compute for the mean length of turns ( MLT ) of each

    winding.

    MTp = (tw g b) WBp

    MTp = (1 1 ()) ()

    MLTp = 7.3889 inches

    MLTs = 2 (tw + g + 4b) + (2WBp + WBs)

    MTs = (1 1 ()) ( () 1)

    MLTs = 8.5306 inches

    Where:

    MLTp => mean length of turns in the primary

    MLTs => mean length of turns in the secondary

    g => stack height

    b => bobbin thickness => 0.095

    WB => winding build up

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    The actual length of wires is computed from:

    L = MLT N

    Primary:

    Lp = 7.3889 474

    Lp = 3,502.3386 inches

    Secondary:

    Ls = 8.5306 102

    Ls = 870.1212 inches

    Where:L => length of the wire

    Step 11:

    Since magnet wires are sold by the weight rather by length, the

    total weight of the wires are computed using

    W(lbs) =

    1

    f

    1

    Primary:

    Wp =

    1

    1

    1

    Wp = 0.5677 lbs

    Secondary:

    Ws =

    11

    1

    1

    1

    Ws = 0.5669 lbs

    Where:

    W => weight of the wire in lbs

    L => length of the wire

    f => conversion factor (see Table 4)

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    a. Winding resistances (From Table 4)Rp =

    p

    1

    11

    1

    Rp =

    1

    11

    1

    Rp = 4.7106

    Rs =s

    1

    1

    1

    Rs =11

    1

    1

    1

    Rs = 0.2912

    Where:

    Rp => winding resistance in the primary

    Rs => winding resistance in the secondary

    b. Copper lossesCp = Ip2 Rp

    Cp = (0.5839)2 (4.7106)Cp = 1.606 Watts

    Cs = Is2

    Rs

    Cs = (2.1)2 (0.2912)

    Cs = 1.2842 Watt

    Ctot = Cp + Cs

    Ctot = 1.606 + 1.2842

    Ctot = 2.8902 Watts

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    Where:

    Cp => copper loss in the primary

    Cs => copper loss in the secondary

    Ctot => total copper loss

    c. Core loss (From Table 5 and Table 3)Core loss = (Approx. Core loss) (Core Weight)

    Table 5: Core characteristics data at different operating frequencies.

    Freq.

    inHertz

    Lamination

    Thickness(inches)

    Core

    Material

    Core Flux

    DensityBm in Gauss

    Approximate

    Core Lossin Watts/Lb

    25

    6060

    400800

    0.025

    0.0140.014

    0.0040.004

    2.5% silicon

    4% siliconGrain-oriented silicon

    Grain-oriented siliconGrain-oriented silicon

    14,000

    12,00015,000

    10,0006,000

    0.65

    1.01.0

    4.54.5

    Core loss =1 att

    1 lb(4.92 lb)

    Core loss = 4.92 Watts

    Where:

    Core loss is inatt

    lb

    Core weight is in lb

    d. Voltage DropVDp = Ip Rp

    VDp = (0.5839) (4.7106)

    VDp = 2.7505 Volts

    VDs = Is Rs

    VDs = (2.1) (0.2912)

    VDs = 0.6115 Volts

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    Where:

    VDp => voltage drop in the primary

    VDs => voltage drop in the secondary

    Step 12:

    Determine the percent efficiency ( ) and voltage regulation ( r )

    from:

    =out 1

    outcore loss(copper loss)

    = 1

    () = 92.71%

    Vr = Is[ *+

    ]

    Vr = (2.1) [ *+ ]Vr = 0.024 or 2.4%

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    Summary of Design Computations.

    Winding

    DC

    Voltage at

    ratedcurrent

    AmpereNumber of

    TurnsAWG#

    Weight

    Needed

    Primary

    Secondary

    220 V

    19 V dc

    0.58 A

    2.1 A

    474

    102

    22

    16

    EI lamination to be used is EI-13

    The Output Transformer

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    Step 6:

    Immerse the core and the windings in a can of varnish for 10 to 15 minutes. This

    is an insulation also. Remove and let the transformer dry

    Step 7:

    To complete everything, bake the transformer in the cover for about four hours or

    let it dry for a couple of days to let the varnish dry and remove its sticky nature.

    Step 8:

    Now your transformer is ready for testing.