Transformer Inefficiencies (AQA A Level Physics)
Revision Note
Inefficiencies in a Transformer
Inefficiencies in a transformer appear not from just the core, but also in the wires
The coils of wire have resistance
This causes heat energy to be lost from the current flowing through the coils
The larger the current, the greater the amount of heat energy lost
In the core, the inefficiencies appear from:
Induced eddy currents
The reversal of magnetism
Poor insulation between the primary and secondary coil
Ways to reduce energy loss in a transformer are:
Making the core from soft iron or iron alloys to allow easy magnetisation and demagnetisation and reduce hysteresis loss
Laminating the core
Using thick wires, especially in the secondary coil of step-down transformers
Using a core that allows all the flux due to the primary coil to be linked to the secondary coil
Power Loss in Transmission Lines
Energy losses due to the heating of transmission lines in the National Grid are significant
This is because the electrical energy is transmitted across long distances from power stations to buildings
This is not just within the UK, but also to other countries such as France and the Netherlands
Transformers are used to step up the voltage generated in power stations
Since power transmitted is the product of the voltage and current, stepping up the voltage reduces the current
Smaller currents have a smaller heating effect on the wires
This reduces energy loss to the surroundings from the wires
Therefore, this improves the efficiency of the electrical energy and power transmitted through the wires
Power losses from the current are calculated using the equation:
P = I2R
Where:
P = power (W)
I = current (A)
R = resistance (Ω)
The equation shows that:
P ∝ I2
This means doubling the current produces four times the power loss
Therefore, step-up transformers are used to increase the voltage which decreases the current through transmission lines
This reduces the overall heat energy lost in the wires during transmission
A step-down transformer is then used to decrease the voltage to that required in homes and buildings
The use of step-up and step-down transformers in the National Grid
Worked Example
A current of 2500 A is transmitted through 150 km of cables. The resistance of the transmission cable is 0.15 Ω per km. Calculate the power wasted.
Answer:
Step 1: List the known quantities
Current, I = 2500 A
Length of cables, L = 150 km = 150 × 103 m
Resistance of the cables, R = 0.15 Ω km-1
Step 2: Write out the power equation
P = I2R
Step 3: Determine the total resistance, R
R = Resistance of the wires × Length of wires
R = 0.15 × 150
Step 4: Substitute values into the power equation
Power lost = (2500)2 × (0.15 × 150) = 141 MW
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