Electric Circuit Analysis: Unit II: Network Reduction and Theorems for dc and ac Circuits
Star (y) and delta (a) transformation (or) t and π transformation
Between three terminals A, B and C, we can connect three resistances (impedances) in two fashions. One is called star connection (y), the other is Delta connection (A).
STAR (Y) AND DELTA (A) TRANSFORMATION (OR) T AND π
TRANSFORMATION
Between
three terminals A, B and C, we can connect three resistances (impedances) in
two fashions. One is called star connection (y), the other is Delta connection
(A). In star connection, one end of each impedance is connected at a point
called star point and the remaining three terminals are connected to A, B and
C. It is called star connection since it appears like a star.
In
Delta connection, the three resistances (impedances) are connected end to end,
so as to form Delta shape.
In
some electrical circuits, calculations become simpler if it is star connected.
In some other problems, Delta connection may enable us to solve it easily.
Hence it is necessary to convert given star connection resistances into its
equivalent Delta and vice-versa.
The
given star and Delta connection of resistances are said to be electrically
equivalent, if the resistance between any pair of given terminals is the same.
With this assumption, we can derive the expressions for resistances in a star,
given delta connected resistances and vice-versa.
(a) Given Resistances in Delta To find Resistance in Equivalent Star
(b) Given Resistances in Star-To-Find Resistance in Equivalent Delta
Multiplying
equations (5) and (6), we get
Electric Circuit Analysis: Unit II: Network Reduction and Theorems for dc and ac Circuits : Tag: : - Star (y) and delta (a) transformation (or) t and π transformation
Electric Circuit Analysis: Unit II: Network Reduction and Theorems for dc and ac Circuits
Under Subject
Electric Circuit Analysis
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