To delieve electric power to the user, a transmission line is needed.
The power loss is due to the resistor(e.g. r=1.0? in the above picture) from the transmission line.
, It can be re-write as or
However, you need to use the voltage across the resistor or the current flow through the resistor .
If you want to calculate the power loss of the transmission line with ,
then the voltage should be the voltage from the transmission line (not the total voltage).
It is not the same as the voltage from the power plant.
From the above picture:
The source voltage is V, the resistor of the transmission line is r=1.0?, and the resistor of the transformer is 99?. So the voltage on the transmission line is only .
For the transmission line, the resistor from the transform will change according to voltage ratio between transformer. It is not a constant so a simulation was created to help you understand it.
The power loss can be calculated from and The power delivered
And the percentage of power loss can be calculated as
which is inverse proportional to
Please check out [url=http://www.phy.ntnu.edu.tw/ntnujava/index.php?topic=941.0]Why we need High Voltage Transmission Line[/url]