The YBUS matrix of a 100-bus interconnected system is 90% sparse. Hence the number of transmission lines in the system must be

- a)450
- b)500
- c)900
- d)1000

Correct answer is option 'C'. Can you explain this answer?

By
Praveen Kumar
·
Jul 06, 2019 ·Electrical Engineering (EE)

Drishti Verma
answered
Jun 18, 2018

Spersity of Ybus=90%

total no elements = 100x100

= 10000

but 90% elements are zero= - 9000/1000

non zero element =

diogonol elements = 100/900

non zero off diagonal elements=

therefore, no. lines = 1/2(no of non zero off diagnol elements

= 900/2= 450

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