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Which is the formula for transmission line efficiency?
Transmission line efficiency is defined as the ratio of the power delivered at the receiving end to the power sent from the sending end, expressed as a percentage. It serves as a measure of the energy losses occurring in the conductors due to resistance.
Transmission line efficiency is defined as the ratio of the power delivered at the receiving end to the power sent from the sending end, expressed as a percentage. It serves as a measure of the energy losses occurring in the conductors due to resistance.
╬╖=(PsтАЛPrтАЛтАЛ)├Ч100%
PsтАЛ=PrтАЛ+PlossтАЛ
In an electrical power transmission system, some power is inevitably lost as heat due to the I2R losses in the transmission line conductors. The transmission efficiency is the metric used to quantify how much of the original transmitted power actually reaches the load, calculated as the ratio of receiving end power to sending end power.
Efficiency always remains less than 100% in practical systems due to line losses.
PrтАЛ represents the power at the load end (Receiving End).
PsтАЛ represents the power supplied by the source (Transmitted/Sending End).
Higher transmission voltage is typically used to reduce current for a given power, thereby minimizing I2R losses and improving efficiency.
Provides a clear performance metric for power systems.
Helps in evaluating the economic viability of transmission lines.
Does not account for reactive power losses in transmission components.
Requires accurate measurement of both sending and receiving power.
Design and analysis of HV/EHV transmission lines.
Performance evaluation of electrical distribution networks.
For maximum efficiency, the total power loss (PlossтАЛ) in the line should be kept as low as possible.
Option A is incorrect because it includes a negative sign in the numerator.
Option B and Option C represent incorrect mathematical relationships involving addition or subtraction instead of division.
D is correct тАФ The efficiency of a transmission line is correctly given by the ratio of received power to transmitted power multiplied by 100%.
Always remember that efficiency is an output/input ratio. In power systems, focus on the fact that efficiency is inversely related to the square of the current in the line for a fixed voltage.
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