Fundamentals of Transformers and Applications
Two coils that have mutual inductance make up a transformer. The coilconnected to the source of energy is called primary coil and the otheris called secondary coil. It is useful in that the electricalenergy can be transferred from one circuit to another without directconnection. It can also change the voltage level from one level to another level depending on the windings ratio of the primary and secondary coils. It can only be used with AC voltage because no voltageis induced if there is no change in magnetic field. The increase of the inductance of coils can be done by windings the coilson magnetic material like iron core. Turns Ratio, Voltage and Current In a varying magnetic field, the voltage induced in a coil is proportionalto the number of turns in the coil. If the coils are wound in the same field,the induced voltages will be proportional to the number of turns in eachcoil. Vs = Vp(Ns/Np) where Vs = secondary voltage Vp = primary voltage Ns = number of turns on secondary Np = number of turns on primary If no current is taken from the secondary(open circuit), the current that flowsin the primary is called magnetizing current of the transformer. Typically,the transformer is designed in such a way that the power consumed by it is only to overcome the losses in the iron core and in the resistance of the wire with which the primary is wound. If the secondary is connected to the load, the current on the primary is givenin the formula below assuming that the entire primary current is caused by thesecondary load. Ip = Is(Ns/Np) where Ip = primary current Is = secondary current Ns = number of turns on secondary Np = number of turns on primary
Many devices need a specific value of of load resistance for optimum operation.The impedance of an actualload that is to dissipate the power may differ from this value, so a transformer is used to change the actual load into an impedanceof the desired value. This is called impedance matching. Np/Ns = Square root(Zp/Zs) where Np = number of turns on primary Ns = number of turns on secondary Zp = primary impedance required Zs = impedance load connected to the secondary Example : A transistor for audio amplifier requires a load of 200 ohms for optimum operation and is to be connected to a loudspeaker with an impedance of 4 ohms. The turn ratio, Np/Ns required will be Square root (200/4) = 7.1 i.e. the primary must have 7.1 times as many turns as the secondary.
Two common types of construction are SHELL type and CORE type. In the SHELL typeboth windings are placed on the inner leg, while in the CORE type the primary andsecondary windings may be placed on separate legs. They are usually designed sothat the magnetic path around the core is as short as possible.
The material used for the core is usually silicon steel, built up by laminations,insulated from each other by a layer of coating. The number of turns required is inversely proportional to the cross sectional area of the core. Typically, the windings of small power transformers usually have 6-8 turns/volt on a coreof 1 square inch cross section and have a magnetic path of 10-12 inches in length.A longer path or smaller cross section requires more turns/volt and vice versa. The material used for the core is usually silicon steel, built up by laminations,insulated from each other by a layer of coating. The number of turns required is inversely proportional to the cross sectional area of the core. Typically, the windings of small power transformers usually have 6-8 turns/volt on a coreof 1 square inch cross section and have a magnetic path of 10-12 inches in length.A longer path or smaller cross section requires more turns/volt and vice versa.  Custom Search
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