To estimate the power saving if the voltage is stepped up from 120 V to 1200 V and then stepped down again.
Answer to Problem 36P
Solution:
The power saving is 54.97 MW.
Explanation of Solution
Given:
Output power,
Output voltage, Vo = 120 V
Resistance, R = 0.100 W
Efficiency, h = 99%
Formula used:
We know that the output power is given by the relation,
Calculation:
Substituting the values of and , we obtain the line current Il
Now, the power lost in the two transmission lines
Now, we calculate the generated power
Substituting the values of and P, we get
Let us consider the step up transformer.
Power at the end of the transmission line,
By rearranging the terms, we get the line current ,
Now, considering the efficiency of the transformer, the total power will be the summation of the power from the step down transformer and the power loss. That is
Therefore, the power that passes through the transmission lines
Now, the power saving will be
Chapter 21 Solutions
Physics: Principles with Applications
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