Suppose that electrical power is distributed from a power plant through a 350-kV

Question

Suppose that electrical power is distributed from a power plant through a 350-kV transmission line; the power lost to heat in the line is 14% of the total power supplied. The plant is going to be doubled in size, and has the choice of duplicating the 350-kV line, or using a single 700-kV line. This single line would have the same resistance, and would pass the same current, as one of the 350-kV systems What percentage of the total power supplied would be lost in the lines for

a) the two 350-kV system?

b) the single 700-kV line system?

Answers: a)14% b) 7%

Please show the process of how to these answers.

Explanation / Answer

Heat loss= I2 R

a) Supplying power through two different line loss will be doubled. I.e. 2X I2 R

So total loss will be = I2 R.

So it is equivalent to 14%.

b) In single 700 of line resistance and current carrying capacity is same that of 350 Kv line. Which is half of two 350 kv line so with increased capacity of power plant loss will be 50% . I.e. 7%.

Related Questions

Navigate

• Browse (All)
• Browse S
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.