Figure 2.33 gives the general \(\Delta-Y\) transformation.

(a) Show that the general transformation reduces to that given in Figure 2.16 for a balanced three-phase load.

(b) Determine the impedances of the equivalent \(\mathrm{Y}\) for the following \(\Delta\) impedances: \(Z_{\mathrm{AB}}=j 10, Z_{\mathrm{BC}}=j 20\), and \(Z_{\mathrm{CA}}=-j 25 \Omega\).

Figure 2.16

Transcribed Image Text:

C B ZANS ZCA = Zc = 287 =ZAZ5 + Z2c + 707A Z = Zc ZAZ LABE ZAZ Z-ZA ZA ZAZ ZBZ ZcZx Z B Za 97 ZABZCA ZAB + ZHC + ZA ZABZBC ZBC + ZCA ZB-ZAB+ ZBC ZAB + ZCAZBC Zc ZAB+ Zec+ Zca