Study Notes on Wye‐Delta Transformation for GATE Electronics and Communication Exam

By Yash Bansal|Updated : April 10th, 2021
  • Wye-Delta transformation is also called as star-delta transformation.
  • Wye-Delta Transformation is a technique to reduce common resistor connections that are neither series nor parallel

Here, we are providing a list of important topics of the Wye‐Delta Transformation asked in GATE, Electronics and Communication engineering exams.

In many circuit applications, we encounter components connected together in one of two ways to form a three-terminal network:

  • Delta, or Δ (also known as the Pi, or π) configuration, and
  • Star connected network which has the symbol of the letter “Y” (also known as the “T”) configuration.

delta

 

 

  • Conversion from Delta (Δ) to Wye (Y)

1

  •  Conversion from Wye (Y) to Delta (Δ)

2

Transformations

  • Star-Delta TransformationCase-1: If ZA = ZB = ZC = R (Ω)Case-2: If If ZA = ZB = ZC = jωL (Ω)

    Case-3: If ZA = ZB = ZC = 1/jωC (Ω)

 

 

  • Delta-Star Transformation

 

Note: Both Star to Delta Transformation and Delta to Star Transformation allows us to convert one type of circuit connection into another type in order to easily analyse the circuit. These transformation techniques can be used  for either star or delta circuits containing resistances or impedances.

 

Example-1: Calculate the Thevenin’s equivalent resistance Rab (in ohms) for the circuit shown in figure below:

 

Solution: 

Given circuit is 

 

Applying delta-to-star transformation,

After rearranging the circuit looks like as shown below


Applying star to delta transformation,

After rearranging the circuit looks like as shown below

Therefore Thevenin's equivalent resistance Rab for the given circuit is 1.6 Ω.

 

If you aiming to crack GATE & ESE, Other PSU Exams then you must try Gradeup Super to get unlimited access to all the live structured courses and unlimited mock tests from the following links:

ESE and GATE EC Super (24+ LIVE Courses and 150+ Mock Tests)

Click on the Links Below to Avail Green Card:

Click Here Avail GATE/ESE EC Green Card !!! (150+ Mock Tests)

Thanks

Sahi Prep Hai To Life Set Hai!

 

Posted by:

Yash BansalYash BansalMember since Nov 2018
Content Manager (GATE)
Share this article   |

Comments

write a comment
Load Previous Comments
Nishant Kumar
thanku sir 
Soumi Das

Soumi DasFeb 22, 2019

Thanks sir
Spandhana Kaila
Thank you sir
AJ Adithya

AJ AdithyaJul 31, 2019

Thank you bro it was very useful
Gousiya Farooqui
i want to also study plz send me...gousiyafarooqui@gmail.com
Priya

PriyaAug 28, 2019

RAB = { [ (7+5) || 8 || 8 ] + 5 } || 8 || 4

Is there any shortcut method to reduce this

RAB = (3 + 5) || 8 || 4



RAB = 4 || 4



RAB = 2Ω  

...Read More
Vijay Fan

Vijay FanSep 19, 2019

Thank you sir
Psantosh Reddy
Add to my notes

ESE & GATE EC

Electronic & Comm.GATEGATE ECESEESE ECOther ExamsTest Series
tags :ESE & GATE ECNetworksGATE EC OverviewGATE EC NotificationGATE EC Apply OnlineGATE EC Eligibility CriteriaGATE EC Selection Process

ESE & GATE EC

Electronic & Comm.GATEGATE ECESEESE ECOther ExamsTest Series
tags :ESE & GATE ECNetworksGATE EC OverviewGATE EC NotificationGATE EC Apply OnlineGATE EC Eligibility CriteriaGATE EC Selection Process

Follow us for latest updates