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Y and Delta Network Calculation
Figure 49    Y -  D  Equivalent

Electrical Science Volume 1 of 4
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Basic DC Theory DC CIRCUIT ANALYSIS The network shown in Figure 48 is called p (pi) or D (delta) because the shapes resemble Greek letters  p  and  W.   These are different names for the same network. Figure 48 p (pi) or D (delta) Network In order to analyze the circuits, it may be helpful to convert Y to  D, or  D  to Y, to simplify the solution.  The formulas that will be used for these conversions are derived from Kirchhoff’s laws. The  resistances  in  these  networks  are  shown  in  a  three-terminal  network.    After  we  use  the conversion  formulas,  one  network  is  equivalent  to  the  other  because  they  have  equivalent resistances across any one pair of terminals (Figure 49). D to Y conversion: Ra R1R3 R1 R2 R3 Rb R1R2 R1 R2 R3 Rc R2R3 R1 R2 R3 Rule 1: The resistance of any branch of a Y network is equal to the product of the two adjacent sides of a  D  network, divided by the sum of the three  D  resistances. Rev. 0 Page 61 ES-02







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