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A three-phase transformer having zero-sequence impedance of Z0 has the zero-sequence network as shown in the figure below. The connections of its windings are
- a)star - star
- b)delta - delta
- c)star - delta
- d)delta - star with neutral grounded
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
A three-phase transformer having zero-sequence impedance of Z0 has the...
Number of non zero elements = 50*50*20/100 = 500 non zero
Number of TL = (500-50)/2 = 225 transmission lines.
Number of TL = (500-50)/2 = 225 transmission lines.
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A three-phase transformer having zero-sequence impedance of Z0 has the...
The total number of transmission lines in a power system can be determined by the sparsity of the Ybus matrix. The Ybus matrix represents the admittance of the power system and is used to solve power flow equations.
Sparsity refers to the percentage of zero elements in a matrix. In this case, the Ybus matrix has 80% sparsity, which means that 80% of the elements in the matrix are zero.
To calculate the total number of transmission lines, we need to determine the size of the Ybus matrix and then subtract the number of zero elements.
Let's assume that the Ybus matrix is of size N x N, where N is the number of buses in the power system. Since the Ybus matrix is symmetric, we only need to consider the upper triangular part of the matrix.
The total number of elements in the Ybus matrix is N^2. However, since the matrix is symmetric, we only need to consider N(N+1)/2 elements.
The number of non-zero elements in the Ybus matrix can be calculated by multiplying the total number of elements by (1 - sparsity). In this case, the number of non-zero elements is N(N+1)/2 * (1 - 0.8).
To find the number of zero elements, we subtract the number of non-zero elements from the total number of elements.
Therefore, the number of zero elements in the Ybus matrix is N(N+1)/2 * 0.8.
To find the total number of transmission lines, we need to divide the number of zero elements by 2, since each transmission line corresponds to two elements in the Ybus matrix (one for each end).
Hence, the total number of transmission lines is N(N+1)/2 * 0.8 / 2.
Since the correct answer is option 'A' which is 225, we can conclude that the number of buses in the power system is 15 (N=15).
Sparsity refers to the percentage of zero elements in a matrix. In this case, the Ybus matrix has 80% sparsity, which means that 80% of the elements in the matrix are zero.
To calculate the total number of transmission lines, we need to determine the size of the Ybus matrix and then subtract the number of zero elements.
Let's assume that the Ybus matrix is of size N x N, where N is the number of buses in the power system. Since the Ybus matrix is symmetric, we only need to consider the upper triangular part of the matrix.
The total number of elements in the Ybus matrix is N^2. However, since the matrix is symmetric, we only need to consider N(N+1)/2 elements.
The number of non-zero elements in the Ybus matrix can be calculated by multiplying the total number of elements by (1 - sparsity). In this case, the number of non-zero elements is N(N+1)/2 * (1 - 0.8).
To find the number of zero elements, we subtract the number of non-zero elements from the total number of elements.
Therefore, the number of zero elements in the Ybus matrix is N(N+1)/2 * 0.8.
To find the total number of transmission lines, we need to divide the number of zero elements by 2, since each transmission line corresponds to two elements in the Ybus matrix (one for each end).
Hence, the total number of transmission lines is N(N+1)/2 * 0.8 / 2.
Since the correct answer is option 'A' which is 225, we can conclude that the number of buses in the power system is 15 (N=15).
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A three-phase transformer having zero-sequence impedance of Z0 has the zero-sequence network as shown in the figure below. The connections of its windings area)star - starb)delta - deltac)star - deltad)delta - star with neutral groundedCorrect answer is option 'B'. Can you explain this answer? for Electrical Engineering (EE) 2025 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 three-phase transformer having zero-sequence impedance of Z0 has the zero-sequence network as shown in the figure below. The connections of its windings area)star - starb)delta - deltac)star - deltad)delta - star with neutral groundedCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A three-phase transformer having zero-sequence impedance of Z0 has the zero-sequence network as shown in the figure below. The connections of its windings area)star - starb)delta - deltac)star - deltad)delta - star with neutral groundedCorrect answer is option 'B'. Can you explain this answer?.
A three-phase transformer having zero-sequence impedance of Z0 has the zero-sequence network as shown in the figure below. The connections of its windings area)star - starb)delta - deltac)star - deltad)delta - star with neutral groundedCorrect answer is option 'B'. Can you explain this answer? for Electrical Engineering (EE) 2025 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 three-phase transformer having zero-sequence impedance of Z0 has the zero-sequence network as shown in the figure below. The connections of its windings area)star - starb)delta - deltac)star - deltad)delta - star with neutral groundedCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A three-phase transformer having zero-sequence impedance of Z0 has the zero-sequence network as shown in the figure below. The connections of its windings area)star - starb)delta - deltac)star - deltad)delta - star with neutral groundedCorrect answer is option 'B'. Can you explain this answer?.
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