Inductance Numerical 4 - Transmission Line Parameters - Power System Engineering 1

TL;DR

The video explains how to calculate the inductance per kilometer for a double circuit line using the formula 2 x 10^-7 log(dm/ds), resulting in 0.84 milli henry per kilometer.

Transcript

hello friends welcome to ekeeda another numerical on inductance so the question is two conductors of a single face line inch of one centimeter diameter means d is one centimeter so r is equal to one by two so r is equal to zero point five centimeter they are arranged in a vertical plane with one conductor mounted mounted one meter above the other m... Read More

Key Insights

• ‼️ Inductance per kilometer for a double circuit line can be calculated using the formula 2 x 10^-7 log(dm/ds).
• 🫚 Mutual gmd is determined by multiplying the distances between the conductors and their counterparts and then taking the fourth root.
• 🤳 Self gmd is calculated by multiplying the distances between a conductor and its counterpart and then taking the fourth root.
• 🤒 To convert inductance from meter to kilometer, multiply the value by 1000.

Questions & Answers

Q: How is the mutual gmd (ground mean distance) calculated between two conductors?

The mutual gmd is determined by multiplying the distances between the conductors and their respective counterparts and then taking the fourth root. This can be calculated using the formula: GMD = (distance_a_to_b x distance_a_to_b_dash x distance_a_dash_to_b x distance_a_dash_to_b_dash)^(1/4).

Q: How is the self gmd (ground mean distance) calculated for a conductor?

The self gmd of a conductor is calculated by multiplying the distances between the conductor and its counterpart and then taking the fourth root. The formula for self gmd is: GMD = (distance_a_to_a x distance_a_to_a_dash x distance_a_dash_to_a x distance_a_dash_to_a_dash)^(1/4).

Q: What is the formula for calculating inductance per conductor per meter?

The formula for inductance per conductor per meter is 2 x 10^-7 log(dm/ds), where dm is the mutual gmd and ds is the self gmd.

Q: How do you convert inductance from meter to kilometer?

To convert inductance from meter to kilometer, multiply the value by 1000, as there are 1000 meters in a kilometer.

Summary & Key Takeaways

• The video discusses the calculation of inductance per kilometer for a double circuit line using the formula 2 x 10^-7 log(dm/ds).

• It explains how to find the mutual gmd (ground mean distance) and self gmd between conductors.

• The video provides step-by-step instructions on calculating the inductance and converting it into milli henry per kilometer.