Solve Example of Wye Delta Transformation, WYE to Delta Conversion, Star Delta Connector

Solve Example of Wye Delta Transformation, WYE to Delta Conversion, Star Delta Connector

 

AIM: To Find out Resistance Between Point “A” & Point “B” In Below Network By Using Star(WYE) Delta Transformation Methods.

 

Let’s Start:-

We have used before Nodal Method & Mesh Analysis Method, Now In This Below Network, We Can Easily Determine The Value Of equivalent resistance i.e, R_AB through Star-Delta conversion.

We have Below Network.

Let Simplify The Network For Better Understanding, By Trimming Some Lines, As Below:-

As We can see the last network forms like Delta, Then Our Approach To Transform This Delta Into Star/Wye Connection.

Just Draw The Dots Line of resistance from each Nodal area to the center of delta to form star/wye, as per below:-

 

For finding value of each new star connector resistance (RA , RB ,  RC),  We can used Direct formula as learn in previous post, As Shown Below:-

 

Now, The Circuit Simplified As:-

Here, We Can Use Mesh & Nodal Method For Simplify Our Equation For Next Level:-

(Note: Circuit Structure Are Same, Reform circuit for easy understanding)

So, R_AB / R_equivalent = R₁ + R₂ + R₃ = 4Ω + 3.88Ω + 1.77Ω = 9.65Ω Answer

 

Hope This Help For You To Solve, Any Types Of Equation Based On Star Delta Transformation. If Any Query, Let Us Know In Comments.

 

Thanks for Reading & Learning. Best Of Luck!

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