Transformer
OR
A transformer is a static piece of
apparatus used for transferring power from one circuit to another at a
different voltage, but without change in
frequency. It can raise or lower the voltage with a corresponding
decrease or increase of current.
Losses In Transformer
Transformer
losses are produced by the electrical current flowing in the coils and the
magnetic field alternating in the core.
Basically
two types:
1. Copper losses
2. Iron losses or core losses
Copper Loss
:
Winding resistance is the result of current flowing through
the windings cause resistive heating of the conductors.
Overcome:
Copper Losses or Heat Losses can be
removed by using suitably thick wire.
Iron losses/core
losses :
The losses that occur in the core are
known as core losses or iron losses. The two types of iron losses are:
1. Eddy current loss
2. Hysteresis loss
Eddy current
loss :
More …..
The alternating flux
induces an e.m.f in the bulk of the core proportional to flux density and
frequency.
The resulting circulating current
depends inversely upon the resistivity of the material and directly
upon the thickness of the core. The losses
per unit mass of core material, thus vary with square of
the flux density, frequency and
thickness of the core laminations.
By using a laminated core(thin sheets of
silicon steel instead of a solid core) the path of the eddy
current is broken up without increasing
the reluctance of the magnetic circuit.
Overcome:
Eddy currents can be avoided by making the core laminated, made of thin sheets of
soft iron. Each sheet is separated from the next by a layer of insulating
varnish.
Hysteresis loss :
The magnetic core
of transformer is made steel. Steel is very good ferromagnetic material.
These kinds of materials are very sensitive to be magnetized. That means
whenever magnetic flux passes through, it will behave like magnet. Ferromagnetic
substances have numbers of domains in their structure. Domains are very small
region in the material structure, where all the dipoles are paralleled to same
direction. In other words, the domains are like small permanent magnet situated
randomly in the structure of substance. These domains are arranged inside the
structure in such a random manner, that net resultant magnetic field of the
material is zero. Whenever external magnetic field is applied to that
substance, these randomly directed domains are arranged themselves in parallel
to the axis of applied magnetic field. After removing this external magnetic
field, maximum numbers of domains again come to random positions, but some few
of them still remain in their changed position. Because of these unchanged
domains the substance becomes slightly magnetized permanently. This magnetism
is called "Spontaneous Magnetism". To neutralize this magnetism some
opposite magnetic field is required to be applied. The magnetic field applied
in the transformer core is alternating. For every cycle, due to this domain
reversal there will be extra work done. For this reason, there will be a
consumption of electrical energy which is known as Hysteresis loss of
transformer. . According to
Steinmetz's formula, the heat energy due to hysteresis is given by;
Hysteresis loss is thus given by;
Where,
f = frequency
η= hysteresis coefficient
βmax= maximum flux density
Overcome:
Hysteresis loss can be avoided by using
special alloys known as "Perm Alloy" for the core material.
Some Other
Losses :
Some loss of useful energy occurs because a small amount of the flux associated with the primary coil fails to pass through the secondary. So Flux Leakage is by itself a small loss, since energy supplied to its magnetic field is returned to the supply with the next half-cycle. However, any leakage flux that intercepts nearby conductive material such as the transformers support structure will give rise to eddy current and be converted to heat. There are also radiative losses due to the oscillating magnetic field but these are usually small.
Dielectric Loss :
It is roughly
proportional to
developed high voltage and the type and
thickness of insulation. It varies with frequency. It is
negligibly small and is roughly
constant.
Variation of losses during operation
:
The losses vary during
the operation of a transformer due to loading, voltage changes, harmonics and
operating temperature.
Variation of
losses with loading level.
Variation in
Constant losses.
Variation in Load Losses.
Etc