Malla Reddy College of Engineering and Technology (MRCET)
Department of EEE ( 2017-18 )
Electrical Circuits EEE
Figure 3: (a) An oriented Graph (b) One of it’s Tree (c) The Loops (tie sets) of the Tree
There are only two fundamental loops as there are only two links as explained below:
1. Loop-1 : Has current I1 and is formed with Twigs-1&5 and Link-4
2. Loop-2 : Has current I2 and is formed with Twigs-1,2&5 and Link-3
Now let us find out the values of the elements of the tie-set matrix [[Bij] applying the rule at step
4 in the procedure given above:
1. Loop-1
:
a. Elements Q11 , Q14 and Q15 are zero since the branches 1,4 and 5 are not linked with cut-
set-1
b. Elements Q12 and Q13 are +1 since the twig 2 and branch 3 are linked with cut-set-1 and
also in the same orientation as that of cut-set-1.
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