3. Introduction
ā¢ Transformers are electrical devices consisting of two or more coils of
wire used to transfer electrical energy by means of a changing magnetic
field.
ā¢ Works only on A/C current .???
ā¢ Based on the principle of mutual induction or self induction .
E= N dĻ /dt
4. Physical Features:
ā¢2 coils of wire (not connected to each other)
known as the primary and secondary
windings, are electrically insulated from each
other and wound on a laminated soft iron
core.
ā¢The number of primary Np and secondary
Ns turns may be varied for attaining the
desired electrical power at the load.
5. Contd..
ā¢ The iron core is to confine the magnetic
field lines to ensure maximum magnetic
flux linkage between the primary and
secondary coils.
ā¢ (flux density āā āā flux
linkage āā āā induced emf āā) This is
due to the fact that iron is easily
magnetized, hence the iron core guides
and direct the magnetic field lines
6. Contd..
ā¢ An ideal transformer has the following additional features:
ā¢ Resistance of primary and secondary coils rp and rs are zero, so that no
energy is lost in the core or in the coils.
ā¢ It is 100% efficient = input power equals output power
ā¢ No magnetic flux losses, hence both coils have the same flux through
them.
ā¢ Note: Transformers are assumed to be ideal in all calculations.
However, we have to keep in mind that the features of the ideal
transformer are only assumed.
7. Contd..
ā¢ One of the main reasons that we use alternating AC voltages and
currents in our homes and workplaceās is that AC supplies can be easily
generated at a convenient voltage,?
ā¢ Transformed (hence the name transformer) into much higher voltages
and then distributed around the country using a national grid of pylons
and cables over very long distances.
8. Contdā¦
ā¢ Which one is more efficient for long way current transmission high
voltage AC or DC ??????
AC/20%AC/60%AC/100%
DC/20DC/40%DC/60%DC/80%DC/100%
AC/70%
AC/80%
AC/60%
=No EMF
9.
10. Types of Transformers
1. Step up
2. Stepdown
Step up:-
In step up transforms secondary winding in
the core of iron is relatively higher in ratio
than primary windings, that mean induce
emf in the secondary winding is higher by
the law of Faraday EMI.
NS>NP Vp/Vs=Np/Ns
Power=IV VpIp=VsIs
11. Contd..
Step down:-
In stepdown transformer as
compare to primary winding in iron
core secondary windings is lower in
ration , means that induced emf in
the secondary windings is lower
than the supply one .
Np>Ns Vp/Vs=Np/Ns
Power=IV VpIp=VsIs
12. Auto transformer :-
ā¢ It is based in the self induction phenomenon .
ā¢ It has a single windings around a single iron
stand.
ā¢ In auto transformer the primary and the
secondary windings are connected magnetically
as well as electrically.
ā¢ In fact, a part of the single continuous winding
is common to both primary and secondary.
13.
14. Contd..
Advantages of Auto transformer
ā¢ Less costly
ā¢ Better regulation
ā¢ Low losses as compared to ordinary two winding transformer of the same rating.
Disadvantages of Auto transformer
ā¢ The secondary winding is not insulated from the primary winding.
ā¢ If an auto transformer is used to supply low voltage from a high voltage and there
is a break in the secondary winding, the full primary voltage comes across the
secondary terminal which is dangerous to the operator and the equipment
ā¢ Used only in the limited places where a slight variation of the output voltage from
input voltage is required.
15. Contdā¦
ā¢ occupy very important place in X-ray generator circuits.
ā¢ In the X-ray generator, the autotransformer is used to adjust the voltage
applied to the primary of the high voltage transformer with high
efficiency and convenience.
ā¢ Provides voltage for the primary coil of the high voltage transformer.
16.
17. High voltage transformer
ā¢ The step up transformer is sometimes called high voltage transformer
ā¢ It has many more turns in the secondary coil than the primary coil and
it increases the voltage by a factor of approximately 600 and more .
ā¢ The potential difference across the secondary coil may be as high as
1,50,000 V
ā¢ So it is immersed in oil in the transformer assembly for maximum
insulation
18. Oil
ā¢ High voltage transformers are usually enclosed in a metal tank filled
with oil.
ā¢ This oil penetrates into the inner spaces of the windings and increases
the effectiveness of the insulation.
ā¢ The oil prevents the windings from dust and moisture and also acts as a
cooling medium.
ā¢ The oil is a good insulator than air, it avoids electrical short circuiting.
ā¢ Oil also provides effective cooling to the transformer.
19. Single phase x ray generator
ā¢ A single-phase X-ray generator utilizes a
single-phase AC supply as input.
ā¢ These generators employ full wave
rectification, which utilizes the full potential
of the electrical supply.
ā¢ the X-ray output per unit time is twice as
large as that of half wave rectification
ā¢ The generated X-rays have 100 short pulses
in one second (2 pulses/cycle, frequency =
50 cycles/sec). The exposure time for each
X-ray pulse is 1/100 s = 10 ms.
20. Contdā¦
ā¢ Full wave rectification is used on
systems ranging from portable, dental,
mobile, and up to heavy duty fixed
installations.
ā¢ While self rectified generators may
have a maximum output of 10-15mA,
full wave rectified units have been
produced with up to 800mA output.
21.
22. Three phase x ray generator /Transformer
ā¢ The three-phase X-ray generator uses a 3-
phase AC line supply.
ā¢ There are three wires, each with a single
phase AC sinusoidal wave.
ā¢ Each wave is out of phase with the other two
for one-third (120Ā°) of a cycle.
ā¢ A three-phase transformer is used to convert
the low voltage AC to high voltage AC.
23. Contdā¦
ā¢ It has three sets of primary and secondary
windings.
ā¢ When the voltage is rectified, the circuit
produces two pulses per cycle for each line,
resulting six pulses per cycle.
ā¢ Hence, this is named as 3-phase 6-pulse
generator.
ā¢ Three phase generators have typical outputs
of 500mA up to -1200mA.
24.
25. Contd..
ā¢ It is also possible, to produce 12-pulse per cycle, by using different
configurations of transformers and rectifiers.
ā¢ With the twelve-pulse generator, one winding is con- figured delta, and
the other star.
ā¢ The voltage peaks between these two windings have a 30 degree phase-
shift.
26. Contdā¦.
ā¢ Since voltage supplied to the X-
ray tube never falls to zero, the
ripple factor is very low (13.5%)
3 phase 6 pulse and 3.5% for 3
phase 12 pulse generator
ā¢ The single phase X-ray generator
ripple factor is 100,
27.
28. High frequency x ray generator
ā¢ Inside the high-frequency generator, the AC mains power is rectified, and
smoothed by a large value capacitor, to become a DC voltage supply.
ā¢ The 'inverter' converts the DC voltage back into a high-frequency AC voltage.
ā¢ High-frequency generators have many advantages over conventional generators,
operating at 50 or 60Hz power main frequency.
ā¢ The high-tension transformer now uses ferrite(a ceramic compound consisting of a
mixed oxide of iron and one or more other metals which has ferrimagnetic
properties) instead of an iron core, with an increase in efficiency.
29. Contdā¦
ā¢ A high-frequency generator waveform has less ripple, in many cases less than 2%.
However, final ripple depends on other design considerations.
ā¢ The high frequency generator transformers are efficient, compact and less costly.
ā¢ For many high-frequency generators however, the inherent capacitance of the HT
cables provides the required smoothing, without added capacitors.
32. Contdā¦
ā¢ This measurement is compared to a reference voltage equivalent to that for the
required kV.
ā¢ If there is any difference, the inverter control circuit changes the pulse rate to
correct the error.
ā¢ This is called 'closed loop' or 'feedback' regulation.
33. Disadvantages of HF generator
1. Skin effect
2. Proximity effect
Skin effect :-
When an Alternating Current flows through
a conductor, it is not distributed uniformly
throughout the conductor cross-section.
AC current has a tendency to concentrate
near the surface of the conductor. This
phenomenon in alternating currents is called
as the skin effect.
34. Contd..
ā¢ Skin effect increases with increase in the frequency.
ā¢ Consequently, the effective resistance of the conductor is slightly increased.
The skin effect depends upon the following factors:
ā¢ Conductor material: Better conductors and ferromagnetic materials experience
higher skin effect
ā¢ Frequency: increases with increase in the frequency
ā¢ Shape of the conductor: skin effect is lesser for stranded conductors than solid
conductors
35. Proximity effect
ā¢ When two or more conductors carrying alternating current are close to each
other, then distribution of current in each conductor is affected due to the
varying magnetic field of each other.
ā¢ The varying magnetic field produced by alternating current induces eddy
currents in the adjacent conductors.
ā¢ Due to this, when the nearby conductors carrying current in the same
direction, the current is concentrated at the farthest side of the conductors.
ā¢ When the nearby conductors are carrying current in opposite direction to
each other, the current is concentrated at the nearest parts of the conductors.
36. Contdā¦
ā¢ The proximity effect also increases
with increase in the frequency.
ā¢ Effective resistance of the conductor
is increased due to the proximity
effect.
37. Transformer rating
ā¢ The transformer rating refers the maximum safe output that can be
taken from the secondary winding.
ā¢ The ratings are specified in three ways as follows:
1. The highest voltage which the transformer can provide,
2. The maximum current which the transformer can give on continuous
running phase
3. The maximum current which the transformer can give for a period
not exceeding one second.
38. Contd..
ā¢ If the rating is exceeded, the transformer may overheat and burn out its
insulation and winding.
ā¢ For three-phase generators ratings are calculated by the formula,
kW = (kV Ć mA) Ć· 1000
For example, a three-phase generator operating at 150 kV and 500 mA, will
have a rating as follows:
Rating = (150 Ć 500) = 75 kW
1000
For single-phase generators, the formula is, kW = (kV Ć mA Ć 0.7) Ć· 1000.
39. Efficiency of transformer
ā¢ The efficiency of the transformer is the ratio between the output power and input
power.
output power i.e. efficiency = output power
input power
ā¢ In actual transformer, the output power is always lesser than the input power due
to some energy losses.
ā¢ Hence, the efficiency is always less than <100%.
*100
40. Losses in Transformers
1. copper losses
2. eddy current losses
3. hysteresis and
4. flux leakage losses.
ļ¶Copper losses:-
Whenever a current I flows through a resistance R, an amount of power equal to
š¼2Ć R Ć t watt is converted into heat.
41. Eddy Current Losses:-
The iron core consists of concentric layers of iron, each acts as a circuited
single turn coil.
Whenever the magnetic field changes, an emf will be induced in the core.
The current produced by the induced emf in the core is called eddy current,
which will give rise to š¼2
Rt heat losses.
These eddy currents can be eliminated by making the iron core in the form of
thin sheet of metal, and each sheet is insulated from its neighbor by a thin
layer of paper.
This type of core is known as laminated core
42. Hysteresis Losses
ā¢ The transformer core is a magnetic material.
ā¢ When the direction of AC changes, the magnetization is also gets
reversed.
ā¢ During this reversal, some energy is lost due to the molecular friction
and the energy appears as heat.
ā¢ The loss of energy by molecular friction is called hysteresis loss.
ā¢ This can be reduced in practice by choosing a suitable magnetic
material, such as mu-metal, which has low hysteresis loss.
ā¢ Mu-metal is a ferromagnetic alloy containing 78% nickel, 17% iron,
and 5% copper. It has high permeability.
43. Flux Leakage
ā¢ All the magnetic flux linked with the primary is not linked with the secondary
coil.
ā¢ This is said to be flux leakage, which results in loss of energy.
ā¢ This can be minimized by using good core design like shell type of core
According to Faradayās laws, āThe Rate of change of flux linkage with respect to time is directly proportional to the EMF induced in a conductor or coilā.
E= N dĻ /dt
Electromotive forceĀ (emf) is a measurement of the energy that causes current to flow through a circuit
Ā According to Siemens it's quite the opposite: ... HVDCĀ transmissionĀ losses are quoted as less than 3% per 1,000 km, which are 30 to 40% less than withĀ ACĀ lines, at the same voltage levels.
In a shell type transformer, the primary and secondary are wound around the central limb, and the magnetic circuit is shorter. Shell type
is the most efficient design in terms of energy conservation and efficiency (98%). Hence, it is used most commonly.
The cross or H type core is called modified shell type, since it is a combination of two shell cores set at right angles to each other. In this, the coils are surrounded by four legs.
This type of core is cooled easily and hence used in large power transformers, where the voltage drop and cost is kept minimum.
"auto" (Greek for "self")Ā
Single phase , tapping type of auto transformer
If the anode is negative in respect to the cathode, no electron flow occurs.
However, in case the anode is very hot, electron emission can also occur from the anode, in which case electron flow can exist from the anode to the cathode. This is called 'back-fire', and would damage the fila- ment.
When the X-ray tube is switched on, feedback circuits measure the difference between the set kV and the available kV. The comparator circuit generates trigger pulses, whose frequency is proportional to the difference of set and available kV
This is passed on to the transformer for further change in its output. The capacitor which has stored charges, increase the potential difference across the X-ray tube. Thus, the desired kV is obtained across the X-ray tube.