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QUESTION: 1

A sample of copper wire has a resistance of 50 Ω at 10^{0}C. The maximum operating temperature of the wire if its resistance is to increase by at most 10 percent will be:

(Given, the Temperature coefficient at 10^{0}C is a = 0.00409^{0}C^{-1}).

Solution:

QUESTION: 2

A single-phase, two wire transmission line, 15 km long, is made up of round conductors, each 0.8 cm radius, separated from each other by 40 cm. The equivalent diameter of a fictitious hollow, thin-walled conductor having the same inductance as the original line is given by

Solution:

The fictitious conductor is one whose radius is r' and whose diameter is therefore,

QUESTION: 3

If the conductor radius increases, inductance of the line,

Solution:

Inductance,

Here, GMR radius of conductor.

Hence, if radius increases, GMR also increases. As a result of which inductance will decrease.

QUESTION: 4

For an underground cable, the surge impedance is generally taken as

Solution:

For underground cable, Z_{s} = 40 Ω

For overhead line, Z_{s} = 400 Ω

QUESTION: 5

Consider the following phenomenon occuring in a power system:

1. Corona loss

2. Charging current

3. Ferranti effect

4. Dielectric loss

5. Skin effect

Which of the above are associated with transmission lines?

Solution:

Dielectric loss occurs in underground cables not in a transmission line.

QUESTION: 6

The corona loss or the critical disruptive voltage in a transmission line at a temperature (f) and pressure (b) can be foundout by Using “air density correction factor (δ)” given by

Solution:

QUESTION: 7

A three-phase, 50 Hz, 400 kV, transmission line is 300 km long. The line inductance is 0.97 mH/km per phase and capacitance is 0.0115 μF/km per phase. Assuming a lossless line, the surge impedance of the line will be

Solution:

Surge impedance of the line is given by

or,

QUESTION: 8

The resistance and reactance of a short line are equal. At zero regulation the load will be

Solution:

Zero regulation of a transmission line occurs at a leading power factor when φ = θ.

Since R = X

QUESTION: 9

Shunt reactors are needed

Solution:

Shunt reactors are used to bring down receiving end voltage during light load or no-load condition to overcome Ferranti effect.

QUESTION: 10

Operating transmission lines close to their maximum power transfer capability will impair

Solution:

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