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A power system has 100 buses including 10 generator buses. For the load flow analysis using Newton-Raphson method in polar coordinates, the size of the Jacobian is
- a)189 × 189
- b)100 × 100
- c)90 × 90
- d)180 × 180
Correct answer is option 'A'. Can you explain this answer?
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A power system has 100 buses including 10 generator buses. For the loa...
Calculation of Jacobian Size:
1. The Jacobian matrix in Newton-Raphson method for load flow analysis is a square matrix with dimensions equal to the number of unknown variables, which is equal to the number of buses in the power system.
2. In this case, the power system has 100 buses, which means there are 100 unknown variables in the load flow analysis.
3. The size of the Jacobian matrix is given by n x n, where n is the number of unknown variables or buses.
4. Therefore, the size of the Jacobian matrix in this power system with 100 buses is 100 x 100.
Answer and Explanation:
5. The given options are:
a) 189 x 189
b) 100 x 100
c) 90 x 90
d) 180 x 180
6. The correct answer is option 'A', which is 189 x 189.
7. It is important to note that the size of the Jacobian matrix is determined by the number of buses in the power system, not the number of generator buses.
8. Therefore, in this case, with 100 buses in the power system, the size of the Jacobian matrix for load flow analysis using Newton-Raphson method would be 100 x 100.
1. The Jacobian matrix in Newton-Raphson method for load flow analysis is a square matrix with dimensions equal to the number of unknown variables, which is equal to the number of buses in the power system.
2. In this case, the power system has 100 buses, which means there are 100 unknown variables in the load flow analysis.
3. The size of the Jacobian matrix is given by n x n, where n is the number of unknown variables or buses.
4. Therefore, the size of the Jacobian matrix in this power system with 100 buses is 100 x 100.
Answer and Explanation:
5. The given options are:
a) 189 x 189
b) 100 x 100
c) 90 x 90
d) 180 x 180
6. The correct answer is option 'A', which is 189 x 189.
7. It is important to note that the size of the Jacobian matrix is determined by the number of buses in the power system, not the number of generator buses.
8. Therefore, in this case, with 100 buses in the power system, the size of the Jacobian matrix for load flow analysis using Newton-Raphson method would be 100 x 100.
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Community Answer
A power system has 100 buses including 10 generator buses. For the loa...
Number of buses (n) = 100
Generator busses (m) = 10
Order of Jacobian matrix =(2n − 1 − m) × (2n − 1 − m)
= (200 − 1 − 10) × (200 − 1 − 10)
= 189 × 189
Generator busses (m) = 10
Order of Jacobian matrix =(2n − 1 − m) × (2n − 1 − m)
= (200 − 1 − 10) × (200 − 1 − 10)
= 189 × 189
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A power system has 100 buses including 10 generator buses. For the load flow analysis using Newton-Raphson method in polar coordinates, the size of the Jacobian isa)189 × 189b)100 × 100c)90 × 90d)180 × 180Correct answer is option 'A'. Can you explain this answer?
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