Basic Law: Wye-Delta Transformation

Good evening! Or good noon? morning? We don’t even know anymore. Should we greet with the time setting of when we made this blog, or when will you sir, our professor, will be reading our blogs? But of course we would not know when will you read so to be safe we would just rather say.


Greetings our beloved instructor! A week has passed again, and we are now on a new topic. Well it was kind of an introduction, we presume. Because Wednesday this week we had our first ever quiz, which by the way, we failed so hard. But maybe that is a challenge for us, to work harder, to be better! Or we did just failed the first quiz miserably. Anyways, our new topic is about:

WYE-DELTA TRANSFORMATION

Situations often arise in circuit analysis when the resistors are neither in parallel nor in series. This situations are where this wye-delta transformation technique is used, where it simplifies the analysis of an electric network or circuit. The Y-Δ transformation is known by a variety of other names, mostly based upon the two shapes involved, listed in either order. The Y, spelled out as wye, can also be called T or star; the Δ, spelled out as delta, can also be called triangle, Π (spelled out as pi), or mesh. Thus, common names for the transformation include wye-delta or delta-wye, star-delta, star-mesh, or T-Π. The concept is to transform a wye (y) electric network into a delta (Δ) electric network and vice versa in order to evaluate the circuit.

Basic Y-Δ transformation

The transformation is used to establish equivalence for networks with three terminals. Where three elements terminate at a common node and none are sources, the node is eliminated by transforming the impedances. For equivalence, the impedance between any pair of terminals must be the same for both networks. The equations given here are valid for complex as well as real impedances. Impedance actually is the measure of the opposition that a circuit presents to a current when a voltage is applied. In quantitative terms, it is the complex ratio of the voltage to the current in an alternating current (AC) circuit.

But in order to transform wye-delta or delta-wye. We must use a solution, transforming each would require that even if it is transformed, the elements would still be of equal value.

Equations for the transformation from Δ to Y

Equations for the transformation from Y to Δ

Learning:

This week we are introduced to a new way of reconstructing a circuit. It is called the wye-delta transformation. This transformation is used in order to reconstruct the resistance on the circuit to be able to calculate the equivalent resistance present on a seemingly complicated circuit. However just barely transforming wye-delta or delta-wye configurations of any given resistors may give or may not give you the desired configuration of the circuit to be able to calculate the equivalent resistance. A better understanding of how the resistors are connected and analyzing which way are the best is crucial in complicated circuits.

We are new to circuits and we still have a lot to learn. But with every new method, we are bound to unlock more understanding of what and how can we do better in this program.

“We are doing our best! So please grades, do catch up” – every engineering student ever.