The theorem of Kennelly , or transformation triangle-star , or transformation Y-Δ , or transformation T-Π , are a mathematical technique which makes it possible to simplify the study of certain electrical communications.
This theorem, named thus in homage to Arthur Edwin Kennelly, makes it possible to pass from a configuration “triangle” (or Δ, or Π, according to the way which one draws the diagram) to a configuration “star” (or, in the same way, Y or T). The diagram opposite is drawn in the form “triangle-star”; diagrams below in form T-Π.
This theorem is sometimes used in electrotechnical or electronic of power in order to simplifer of the three-phase Systèmes.
Transformation star towards triangle
With the Admittance SThe product of the adjacent admittances divided by the total sum of the admittances.
With the impedance SThe sum of the products of impedances divided by the opposite impedance.
Transformation triangle towards starOne speaks here about an equivalence of a circuit in T with a circuit in π. In practice, one more uses the transformation which consists in passing from a circuit in π to a circuit in T.
With the Admittance SThe sum of the products of the admittances divided by the opposite admittance.
With the impedance SThe product of the adjacent impedances divided by the total sum of the impedances.
- Electrokinetic Electricity
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