Electrical Engineering (EE) Exam  >  Electrical Engineering (EE) Questions  >  A 10,000 KVA, 50 Hz generator has reactance o... Start Learning for Free
A 10,000 KVA, 50 Hz generator has reactance of 30 %, 10 %, 5%, to positive, negative and zero sequence currents respectively. It is connected to a line comprising three conductors of 1cm. diameter arranged in equilateral triangular spacing of 5 m side. The generator is excited to give 30 KV on open circuit. Find the current in the line when two lines are short circuited at a distance of 20 Km along the line. Neglect resistance and capacitance.

?
Most Upvoted Answer
A 10,000 KVA, 50 Hz generator has reactance of 30 %, 10 %, 5%, to posi...
Given data:
- Generator power rating: 10,000 KVA
- Generator frequency: 50 Hz
- Reactance: 30%, 10%, 5% for positive, negative, and zero sequence currents respectively
- Line conductors: Three conductors of 1cm diameter arranged in an equilateral triangular spacing of 5m side
- Generator open circuit voltage: 30 KV
- Two lines short-circuited at a distance of 20 Km

Calculation:
1. Reactance Calculation:
The reactance values are given as percentages. To calculate the actual reactance, we need to convert them to per unit values.
- Positive sequence reactance (X1) = 30% of generator reactance = 0.30 * 10,000 = 3,000 KVA
- Negative sequence reactance (X2) = 10% of generator reactance = 0.10 * 10,000 = 1,000 KVA
- Zero sequence reactance (X0) = 5% of generator reactance = 0.05 * 10,000 = 500 KVA

2. Short Circuit Current Calculation:
To calculate the short circuit current, we need to use the reactance values and the generator voltage.
- Positive sequence short circuit current (I1) = Generator voltage / X1 = 30,000 V / 3,000 KVA = 10 A
- Negative sequence short circuit current (I2) = Generator voltage / X2 = 30,000 V / 1,000 KVA = 30 A
- Zero sequence short circuit current (I0) = Generator voltage / X0 = 30,000 V / 500 KVA = 60 A

3. Line Configuration Calculation:
The line is composed of three conductors arranged in an equilateral triangular spacing. The distance between each conductor is 5m.
To calculate the line impedance, we need to calculate the inductance per unit length (L) of the conductor.
- Inductance per unit length (L) = (2 * 10^-7) * (ln(2s/d) + 0.25) = (2 * 10^-7) * (ln(2 * 5/0.01) + 0.25) = 2.4 * 10^-7 H/m

4. Short Circuit Distance Calculation:
The two lines are short-circuited at a distance of 20 Km (20,000 m). To calculate the line impedance at this distance, we need to calculate the total inductance (L_total).
- Total inductance (L_total) = L * (distance / conductor spacing) = 2.4 * 10^-7 * (20,000 / 5) = 9.6 * 10^-4 H

5. Short Circuit Current Calculation at 20 Km:
Using the total inductance, we can calculate the short circuit current at 20 Km using the reactance values.
- Positive sequence short circuit current at 20 Km (I1_20Km) = I1 * (X1 / (X1 + jL_total)) = 10 *
Explore Courses for Electrical Engineering (EE) exam

Top Courses for Electrical Engineering (EE)

A 10,000 KVA, 50 Hz generator has reactance of 30 %, 10 %, 5%, to positive, negative and zero sequence currents respectively. It is connected to a line comprising three conductors of 1cm. diameter arranged in equilateral triangular spacing of 5 m side. The generator is excited to give 30 KV on open circuit. Find the current in the line when two lines are short circuited at a distance of 20 Km along the line. Neglect resistance and capacitance.?
Question Description
A 10,000 KVA, 50 Hz generator has reactance of 30 %, 10 %, 5%, to positive, negative and zero sequence currents respectively. It is connected to a line comprising three conductors of 1cm. diameter arranged in equilateral triangular spacing of 5 m side. The generator is excited to give 30 KV on open circuit. Find the current in the line when two lines are short circuited at a distance of 20 Km along the line. Neglect resistance and capacitance.? for Electrical Engineering (EE) 2024 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about A 10,000 KVA, 50 Hz generator has reactance of 30 %, 10 %, 5%, to positive, negative and zero sequence currents respectively. It is connected to a line comprising three conductors of 1cm. diameter arranged in equilateral triangular spacing of 5 m side. The generator is excited to give 30 KV on open circuit. Find the current in the line when two lines are short circuited at a distance of 20 Km along the line. Neglect resistance and capacitance.? covers all topics & solutions for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A 10,000 KVA, 50 Hz generator has reactance of 30 %, 10 %, 5%, to positive, negative and zero sequence currents respectively. It is connected to a line comprising three conductors of 1cm. diameter arranged in equilateral triangular spacing of 5 m side. The generator is excited to give 30 KV on open circuit. Find the current in the line when two lines are short circuited at a distance of 20 Km along the line. Neglect resistance and capacitance.?.
Solutions for A 10,000 KVA, 50 Hz generator has reactance of 30 %, 10 %, 5%, to positive, negative and zero sequence currents respectively. It is connected to a line comprising three conductors of 1cm. diameter arranged in equilateral triangular spacing of 5 m side. The generator is excited to give 30 KV on open circuit. Find the current in the line when two lines are short circuited at a distance of 20 Km along the line. Neglect resistance and capacitance.? in English & in Hindi are available as part of our courses for Electrical Engineering (EE). Download more important topics, notes, lectures and mock test series for Electrical Engineering (EE) Exam by signing up for free.
Here you can find the meaning of A 10,000 KVA, 50 Hz generator has reactance of 30 %, 10 %, 5%, to positive, negative and zero sequence currents respectively. It is connected to a line comprising three conductors of 1cm. diameter arranged in equilateral triangular spacing of 5 m side. The generator is excited to give 30 KV on open circuit. Find the current in the line when two lines are short circuited at a distance of 20 Km along the line. Neglect resistance and capacitance.? defined & explained in the simplest way possible. Besides giving the explanation of A 10,000 KVA, 50 Hz generator has reactance of 30 %, 10 %, 5%, to positive, negative and zero sequence currents respectively. It is connected to a line comprising three conductors of 1cm. diameter arranged in equilateral triangular spacing of 5 m side. The generator is excited to give 30 KV on open circuit. Find the current in the line when two lines are short circuited at a distance of 20 Km along the line. Neglect resistance and capacitance.?, a detailed solution for A 10,000 KVA, 50 Hz generator has reactance of 30 %, 10 %, 5%, to positive, negative and zero sequence currents respectively. It is connected to a line comprising three conductors of 1cm. diameter arranged in equilateral triangular spacing of 5 m side. The generator is excited to give 30 KV on open circuit. Find the current in the line when two lines are short circuited at a distance of 20 Km along the line. Neglect resistance and capacitance.? has been provided alongside types of A 10,000 KVA, 50 Hz generator has reactance of 30 %, 10 %, 5%, to positive, negative and zero sequence currents respectively. It is connected to a line comprising three conductors of 1cm. diameter arranged in equilateral triangular spacing of 5 m side. The generator is excited to give 30 KV on open circuit. Find the current in the line when two lines are short circuited at a distance of 20 Km along the line. Neglect resistance and capacitance.? theory, EduRev gives you an ample number of questions to practice A 10,000 KVA, 50 Hz generator has reactance of 30 %, 10 %, 5%, to positive, negative and zero sequence currents respectively. It is connected to a line comprising three conductors of 1cm. diameter arranged in equilateral triangular spacing of 5 m side. The generator is excited to give 30 KV on open circuit. Find the current in the line when two lines are short circuited at a distance of 20 Km along the line. Neglect resistance and capacitance.? tests, examples and also practice Electrical Engineering (EE) tests.
Explore Courses for Electrical Engineering (EE) exam

Top Courses for Electrical Engineering (EE)

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev